Journal of Personality and Social Psychology 2006, Vol. 91, No. 6, 1045–1065 Copyright 2006 by the American Psychological Association 0022-3514/06/$12.00 DOI: 10.1037/0022-3514.91.6.1045 Relationship Perceptions and Persistence: Do Fluctuations in Perceived Partner Commitment Undermine Dating Relationships? Ximena B. Arriaga, Jason T. Reed, Wind Goodfriend, and Christopher R. Agnew Purdue University The authors propose specific temporal profiles that reflect certainty versus doubt about where a partner stands with respect to a dating relationship over time. Two multiwave longitudinal studies focused on within-participant changes in perceived partner commitment. Results from multilevel modeling indicate that individuals whose perceptions of partner commitment fluctuate over time were more likely to be in a relationship that eventually ended than were individuals whose perceptions remained relatively steady. For individuals in recently initiated relationships, the association of fluctuation in perceived partner commitment with later breakup was significant regardless of the initial level of perceived partner commitment or the trend, and for all participants, it remained significant when initial level, trend over time, and fluctuation over time of other meaningful variables were controlled. Keywords: uncertainty, commitment, perceptions of partner, relationship stability, longitudinal Juliet: However, certainty about one’s own sentiments may not allay concerns about the partner’s sentiments; an individual may feel confident about the partner’s sentiments one week only to be surprised the following week by an unexpected partner behavior that is perceived to reflect less commitment. We suggest that individuals who vacillate in their perceptions of their partner’s level of commitment—perceptions of how inclined the partner is to remain in the relationship—are likely to experience continual doubts over where things stand; they are likely to wonder whether the partner wants the same level of commitment or instead wants more or less commitment. We examined this idea among individuals in relatively newly formed dating relationships (Study 1) and dating relationships of all durations (Study 2, a replication study). Partners in novel relationships may wonder about the uncertain current and future status of their relationship, given that it is precisely things not yet fully known that elicit a search for answers (Sanbonmatsu, Posavac, Vanous, & Ho, 2005). Thus, individuals in newly formed relationships may be particularly interested in, and affected by, their perceptions of the partner’s commitment so as to protect themselves against getting closer than the partner will allow. Several studies indirectly suggested that perceiving a partner as being committed should positively influence the relationship (Drigotas, Rusbult, & Verette, 1999; Holmes & Rempel, 1989; Miller & Rempel, 2004; Murray, Bellavia, Rose, & Griffin, 2003; Murray, Holmes, & Griffin, 2000; Wieselquist, Rusbult, Foster, & Agnew, 1999). If such positive perceptions were to change—if, for example, a person loses faith over time that the partner is committed—these studies implied that this would result in negative outcomes for the relationship. However, not all types of changes over time in perceived partner commitment are the same. We identify specific change markers or temporal profiles with specific implications for a relationship, suggesting that beyond mere increases or decreases over time, temporal patterns marked by fluctuation in perceived partner commitment directly reflect doubts and are particularly detrimental. We present the results of two [. . .] O gentle Romeo: If thou dost love, pronounce it faithfully: [. . .] Romeo: Lady, by yonder blessed moon I swear That tips with silver all these fruit-tree tops – Juliet: O, swear not by the moon, the inconstant moon, That monthly changes in her circled orb, Lest that thy love prove likewise variable. —William Shakespeare, Romeo and Juliet In this famous balcony scene from Romeo and Juliet, Romeo first professes his love to Juliet. Juliet wants to know that Romeo loves her not just now, but always; that is, she seeks assurance that his love is constant over time. Just like Juliet, people in lasting romantic relationships seek assurance that their own relationships are based on ever present, or temporally stable, factors that keep the partners together over time (Kelley, 1983). More so than in marital relationships, in dating relationships such factors are likely to rely heavily on feelings and perceptions and perhaps less on tangible investments or structural barriers to leaving (Le & Agnew, 2003). Past research has shown that a dating relationship is disrupted when a person’s own feelings vacillate over time and is more likely to persist when a person has relatively stable feelings over time, even when these stable feelings are not particularly positive toward the relationship (Arriaga, 2001). A person with relatively unchanging sentiments is afforded a sense of certainty about where he or she stands with respect to the relationship. Ximena B. Arriaga, Jason T. Reed, Wind Goodfriend, and Christopher R. Agnew, Department of Psychological Sciences, Purdue University. We thank Niall Bolger for his thoughtful comments regarding this research. We also thank the College of Liberal Arts at Purdue University for supporting this research through an incentive grant. Correspondence concerning this article should be addressed to Ximena B. Arriaga, Department of Psychological Sciences, Purdue University, 703 Third Street, West Lafayette, IN 47907-2081. E-mail: [email protected] 1045 1046 ARRIAGA, REED, GOODFRIEND, AND AGNEW longitudinal studies of individuals in dating relationships to examine whether those who vacillate over time in their perceptions of their partner’s commitment are at greater risk for experiencing relationship dissolution. Relationship Confidence Versus Doubt The Role of Perceived Partner Commitment A growing body of research has suggested that people are motivated to form a strong sense of conviction about their romantic relationships—a strong sense that “the partner really is the ‘right’ person and can be counted on to be caring and responsive across time and situations” (Murray, 1999, p. 23; see also Holmes, 2004). This “quest for conviction” account stipulates that conviction is necessary before allowing oneself to feel close to a partner, lest one become anguished over being tied to a partner with undesirable qualities or hurt by a partner’s uncaring acts (Murray, 2005). Unfortunately, disappointment is inevitable—no partner is always perfect or able to act in ways that promote the relationship. The quest for conviction account suggests that the only way for relationships to survive such disappointing moments is to adopt a sense of closure, namely to remove all doubts about the relationship and embrace the idea that even when there are setbacks or disappointments, these are minor and the relationship remains on course toward a healthy future (i.e., making a “leap of faith,” Rempel, Holmes, & Zanna, 1985; see also Holmes, 2004). In contrast to individuals who follow a quest for conviction, individuals marred by doubts must continually reevaluate where the relationship stands and whether it has a viable future. Doubts about a relationship may arise from any number of sources, such as from (a) feeling uncertain about one’s own feelings toward the relationship or partner (Arriaga, 2001; Murray & Holmes, 1999), (b) feeling that the partner is not concerned with the relationship (Murray et al., 2000; Holmes & Rempel, 1989), or (c) doubtinducing influences beyond the dyad, such as persistent perceived disapproval from others (Agnew, Loving, & Drigotas, 2001; Etcheverry & Agnew, 2004; Lehmiller & Agnew, 2006). In the current article, we focused on the second source of doubt, namely doubts about a partner’s commitment. We suggest that a general inference about a partner’s commitment may be more strongly associated with relationship persistence than perceptions of a partner’s behaviors or even inferences about those behaviors. Why should perceived partner commitment have such a strong effect? There are several reasons to expect that general inferences such as perceptions of partner commitment are particularly important for relationship well-being, more so than inferences about a partner’s behaviors, his or her level of satisfaction, quality of alternatives, investments, or other specific partner inferences. First, research has confirmed that inferences made about a partner’s behavior are just as or even more important than the behaviors themselves (Bradbury & Fincham, 1990). Second, general inferences about how concerned a partner is with the relationship— his or her relationship motives— have profound effects on how rewarding a relationship is experienced to be (Kelley, 1979). Third, general partner inferences form the bases of broad attitudes or orientations toward a relationship (i.e., macromotives, Holmes, 1981) that temper the perceptions of specific partner actions or even interpretations of specific actions; perceived partner commitment is precisely such a broadly framed inference (Wieselquist et al., 1999; see also the discussion of trust by Holmes & Rempel, 1989). Fourth, predicting a broad outcome (relationship stability) is likely to require a broad-based inference rather than a more specific inference (Ajzen & Fishbein, 1977). Satisfaction, alternatives, and investments all are specific causes of commitment; as such, perceptions of these variables are less likely to predict stability directly than are perceptions of commitment (Rusbult, Olsen, Davis, & Hannon, 2001). There is ample extant research suggesting that perceptions of partner motives have implications for relationship well-being. Perceiving that a partner acts in ways that support the relationship (i.e., perceiving partner accommodation and partner willingness to forego his or her own self-interest for the sake of the relationship) is concurrently associated with trusting the partner (Wieselquist et al., 1999). Conversely, individuals who have doubts about whether their partner will be responsive to their needs make negative inferences about their partner’s behavior and harbor further doubts (Miller & Rempel, 2004). Moreover, individuals who assume their partner sees them in more negative ways than the partner actually sees them (i.e., perceived low regard) report subsequent increases in their own levels of conflict and ambivalence and have partners who report subsequent decreases in satisfaction and trust (Murray et al., 2000). It is important to note that the links between low partner regard and declines in relationship well-being remain significant even after controlling for a partner’s actual level of regard, underscoring the importance of perceptions of the partner (see also Wieselquist et al., 1999). It stands to reason that doubts about a partner’s commitment also have negative repercussions for the relationship. Although these studies suggested positive relationship implications when a partner is perceived to be caring, supportive, and concerned with maintaining the relationship, there are several caveats that limit the relevance of these studies to the current research. First, none of these studies provided direct evidence that perceptions of the partner predict the ultimate indicator of wellbeing, namely whether a relationship lasts. Second, these studies examined variables that only indirectly tap subjective perceptions of partner commitment. For example, Wieselquist et al. (1999) examined reports that the partner had engaged in prorelationship behaviors; Miller and Rempel (2004) examined one’s level of trust. Drigotas et al. (1999) have come closest to examining absolute levels of perceived partner commitment, namely perceived matches versus mismatches in own and partner commitment. We sought to directly examine perceptions of partner commitment per se given our broader focus on doubt and the strong link between subjective commitment and resolving doubts (Brickman, 1987). Most notably, there has been no research that identifies specific patterns in partner perceptions over extended periods of time, extended patterns that would meaningfully reflect sustained certainty versus repeated doubts (Kelley, 1979). Two individuals may exhibit similar levels of perceived partner commitment at two time periods separated by 6 months, but 1 may have vacillated in his or her perceptions of the partner’s commitment whereas the other may have had perceptions that followed a steady path. As we describe below, these two patterns are distinct in ways that are theoretically meaningful and are likely to have different outcomes. Moreover, when examining perceptions, it becomes critically important to capture prospective changes over time; data that capture prospective changes in perceptions versus retrospective accounts of changes in perceptions differ descriptively and in their predictive value (Karney & Frye, 2002). In short, much can be gained theoretically and in predictive value by capturing changes that unfold over time (Arriaga, 2001; Karney & Bradbury, 1995). Doubt as Temporal Fluctuations in Perceived Partner Commitment Perceived Partner Commitment FLUCTUATIONS IN PERCEIVED PARTNER COMMITMENT 1047 Profile 1 Profile 2 Profile 3 Profile 4 Time How do people who do not treat their partner’s commitment as an open question look different over time from those who do (Holmes & Rempel, 1989)? Does experiencing sustained certainty versus repeated doubts make a difference in whether a dating relationship lasts? To answer these questions, we advance an analysis of specific within-person temporal patterns, or profiles, in perceived partner commitment. As elaborated in Shoda’s notion of a personality signature (Shoda, 1999; Shoda, Mischel, & Wright, 1994), we suggest that distinct patterns of intraindividual variability (in our analysis, intraindividual changes over time) have coherence and are theoretically meaningful (see also Murray, Holmes, & Collins, 2006). Our major thesis is that measuring each individual’s idiosyncratic pattern of fluctuation in perceived partner commitment is critical (Arriaga, 2001; Campbell, Simpson, Boldry, & Kashy, 2005), by which a person’s ongoing state of relationship doubt is reflected in perceptions that vacillate markedly and sustained certainty is reflected in perceptions that stick to a linear path. This assertion requires identifying temporal patterns with more precision than is afforded by examining only general changes over time, which has presented its own challenges but increasingly is captured by a multiwave trend in a variable (i.e., its slope over time, preferable to averaging between two measurement occasions; Karney & Bradbury, 1995). We identify four specific temporal patterns in perceived partner commitment that capture theoretically relevant experiences of certainty versus doubt. We are not suggesting that every person exactly fits one of these four profiles or that data naturally cluster into these four patterns. Rather, these are four theoretically meaningful profiles, and it is possible to set cutoffs on continuous data so as to approximate each of these four profiles. These four patterns are a combination of whether the general trend is one of increase or decrease over time and whether the pattern fluctuates along or steadily follows a linear path.1 Figure 1 illustrates a hypothetical example of each profile. One temporal profile is reflected in steadily increasing levels of perceived partner commitment (e.g., Profile 1 in Figure 1). These individuals see their partner as predictably committed and capture what theoretically has been described as “exaggerating the case for commitment” (Murray, 1999). Even if the partner acts destructively, the perception of a single destructive act becomes folded into a broader partner perception that is positive and optimistic. Thus, these are individuals who have likely developed strong defenses against potentially negative partner information, defenses that preempt perceiving declines in a partner’s commitment. By deepening their positive view of the partner’s commitment over time, and even enhancing their view in the face of unresolved problems (see Holmes & Rempel, 1989, high trust individuals), Figure 1. Temporal profiles in individuals’ perceptions of their partner’s commitment level, measured repeatedly over time. these individuals become immune to major relationship threats and thus are likely to have relatively longer lasting relationships. A second temporal profile is characterized by individuals who generally perceive their partner to be committed, or even exhibit a trend of increasing perceptions of partner commitment, but whose perceptions fluctuate along that course (e.g., Profile 2). Their relationship experience is likely to be different, defined at one moment by optimism and the next moment by relative disappointment. These are individuals who capture what theoretically has been described as having only moderate trust in the partner (Holmes & Rempel, 1989); they acknowledge moments when the partner behaves positively but hesitate in generalizing the positive moment to future moments in the relationship. Their reactivity to specific instances becomes apparent in a temporal profile marked by fluctuation. The third profile concerns those who have steadily low or decreasing perceptions of their partner’s commitment, suggesting a subjective sense of certainty that the partner is decreasingly committed (e.g., Profile 3). They expect little of their partner, yet the steady decline affords some level of certainty and predictability over where their partner stands (Sorrentino, Holmes, Hanna, & Sharp, 1995). They capture what theoretically has been described as individuals who sustain their relationships with routines that may not be satisfying or involve closeness but nonetheless keep partners intertwined (Berscheid, 1983; see Holmes & Rempel, 1989, low trust individuals). As they avoid having to adjust their expectations time and again, remaining in their relationship be1 In addition to these two indicators (whether perceived partner commitment follows a trend of increase or decrease and whether it fluctuates), recent applications of growth curve analysis would suggest also looking at initial level of perceived partner commitment (the intercept). We were less concerned with strictly adhering to growth curve variables (a methodological focus) and more concerned with identifying patterns that have clear theoretical relevance to the experience of doubt. Changes in a variable have been shown to be more theoretically meaningful than the absolute level of that variable (e.g., initial level; Karney & Bradbury, 1995), and our emphasis is on examining increases and decreases that vary in degree of fluctuation, as fluctuation is theoretically relevant to the experience of doubt. We later present regression analyses that take into account level (the intercept), in addition to increase versus decrease (slope) and fluctuation; absolute level did not predict relationship persistence beyond the effect of the linear trend over time or fluctuations over time. 1048 ARRIAGA, REED, GOODFRIEND, AND AGNEW comes a “path of least resistance” albeit not necessarily a positive path. A fourth temporal profile is reflected in individuals whose perceptions of a decreasingly committed partner fluctuate over time (e.g., Profile 4). In contrast to individuals with steady downward perceptions (Profile 3), these individuals are unable to form stable expectations of what the future holds given their vacillating perceptions. Struggling to know where the partner stands, they remain watchful of their partner’s actions for possible changes thus readjusting their inferences time and again. Predicting Breakup Status The general trend of change, or slope, in perceived partner commitment is likely to be important in predicting breakup status, in light of seminal research showing that the linear trend in own level of commitment (Rusbult, 1983), the trend in own satisfaction (Karney & Frye, 2002), and the trend in attributions about a partner (Karney & Bradbury, 2000) each are associated with potential or actual relationship outcomes. Similarly, perceptions of partner commitment that decrease over time (e.g., Profiles 3 and 4) are more likely to result in breakup than those that increase (e.g., Profiles 1 and 2). To establish temporal profiles or signature patterns that reflect doubt versus certainty in particular, researchers must move beyond examining increases or decreases only so as to also look at whether the temporal path fluctuates versus steadily follows a straight line (Surra, Hughes, & Jacquet, 1999). Arriaga (2001) found that fluctuations in one’s own level of satisfaction—that is, uncertainty in one’s own feelings—predicted later dissolution, even controlling for overall increases or decreases over time in one’s level of satisfaction. However, one’s own feelings are but one source of doubt and do not address an important additional source of doubt, whether one thinks the partner is committed. We anticipated that the extent of fluctuation over time in perceived partner commitment would affect the odds of breakup such that individuals fitting Profile 2 would be more likely to be in relationships that end relative to those fitting Profile 1, and the same holds for Profile 4 individuals relative to Profile 3 individuals. In short, fluctuation in perceived partner commitment should have a main effect on relationship dissolution independent of the trend of increase or decrease in these perceptions or the overall level of these perceptions (Hypothesis 1). Why should this be so? The lack of partner predictability embedded in fluctuating perceptions means that these individuals are repeatedly adjusting their expectations. Research has shown that individuals plagued by uncertainty (as reflected in fluctuating perceptions of partner commitment) pay special attention to information that violates their expectations (Driscoll, Hamilton, & Sorrentino, 1991) and thus adjust their impressions time and again, making them highly reactive (or sensitive) to each partner interaction (Surra & Hughes, 1997). Relative to low reactivity, such high reactivity is associated with greater relationship distress, less satisfaction, and less closeness (Campbell et al., 2005; Jacobson, Follette, & McDonald, 1982). Our logic suggests that certainty over perceived commitment stands to have an effect that is independent of the general trend in perceived partner commitment (Sorrentino et al., 1995). We are not suggesting that steadily declining perceptions of partner com- mitment (third profile) are good for a relationship; rather, declining perceptions that fluctuate (fourth profile) are particularly bad for a relationship, worse than steadily declining perceptions (third profile). They share a pattern of decline in perceptions but differ in level of fluctuation in perceptions and thus should differ in odds of breakup; certainty that a partner lacks commitment should predict more persistence than doubt over a partner’s lack of commitment because doubts encourage constant monitoring and redefinition of the status of the relationship whereas certainty retains the status quo. An alternate model would suggest that only the first profile— steadily increasing perceived partner commitment (i.e., a “felt security” profile, see Murray et al., 2006)—is uniquely associated with persistence whereas the other profiles are associated with dissolution. That is, the effect of steady versus fluctuating perceptions may matter more when the perceptions are positive (i.e., Profile 1, but not Profile 2, predicts persistence), and less or not at all when they are negative (i.e., Profiles 3 and 4 predict breakup equally); we explored the possibility that the trend in perceptions would moderate the effect of fluctuation but anticipated that fluctuation would exhibit an independent (i.e., main) effect on relationship dissolution. In keeping with the analysis of the importance of perceived partner commitment relative to other inferences about the partner (e.g., behavioral inferences), we also predicted that fluctuations in perceived partner commitment would be more strongly associated with relationship dissolution than would fluctuations in perceptions of a partner’s behaviors or fluctuations in inferences about partner behaviors (Hypothesis 2). Possible Correlates and Constraints of Fluctuation in Perceived Partner Commitment Not all variables that fluctuate over time necessarily reflect doubt. There are theoretical reasons to expect some variables to correlate with fluctuation in perceived partner commitment more than others and to expect some variables to constrain or moderate the association of fluctuation in perceived partner commitment with later relationship disruption. We explored possible concomitant, antecedent, and limiting conditions of fluctuation in perceived partner commitment. Own Level of Satisfaction Because fluctuations in own satisfaction (Arriaga, 2001) and in perceived partner commitment both reflect doubt, they are likely to be positively correlated. Yet, as theoretically distinct and unique sources of doubt stemming from own feelings versus perceptions of the partner, they should each provide independent prediction when examined simultaneously. We predicted that, when examined simultaneously, both should exhibit independent associations with later relationship dissolution (Hypothesis 3). We did not examine perceived partner satisfaction, given that perceiving partner changes in overall commitment is likely to have more pervasive effects than perceiving changes in satisfaction only (Rusbult, 1983). Rather than perceived satisfaction, perceiving committed partner acts more closely captures confidence in a partner’s intentions (Wieselquist et al., 1999). FLUCTUATIONS IN PERCEIVED PARTNER COMMITMENT Own Level of Commitment We examined several possible types of association between own level of commitment and perceived level of partner commitment. First, we anticipated that when examined simultaneously, fluctuation in perceived partner commitment and fluctuation in own commitment both should exhibit independent associations (main effects) with later relationship dissolution (Hypothesis 4). Both reflect doubt, and as such, both should influence whether a relationship lasts. Second, we explored whether own commitment might be an antecedent of perceived partner commitment. It is possible that a relatively uncommitted person is inclined to assume a partner is equally uncommitted—that is, one’s own level of commitment may color inferences about a partner’s commitment. Yet, it is also possible that people who perceive a partner to be uncommitted will adjust their own commitment so as to not be disappointed in the future (e.g., “My partner doesn’t want this relationship, so I should not put much into it myself”)—that is, inferences about a partner’s commitment may cause (and thus precede) adjustments in own commitment level. We explored whether (a) initial level of perceived partner commitment correlated with subsequent increases in own commitment and (b) initial level of own commitment correlated with subsequent increases in perceived partner commitment. Third, we explored whether one’s own commitment level at the outset of the study (initial commitment) constrains the extent of doubt one experiences. It is possible that people who initially are relatively uncommitted may not care very much whether the relationship continues, and so they may not heed their perceptions of the partner’s commitment. On the other hand, people who very much want the relationship to continue—those who initially are highly committed—may seek confirmation of the partner’s commitment; they may be more affected by evidence of a stably committed partner versus a partner plagued by doubts. That is, initial commitment level may moderate whether fluctuation in perceived partner commitment predicts relationship dissolution. It is equally possible that uncertainty about a partner’s commitment undermines a relationship regardless of one’s own level of commitment given the pervasive and arguably independent effects of doubt (Holmes, 2004), suggesting no such moderation. 1049 Overview of Studies We have suggested that over time, fluctuating perceptions of partner commitment disrupt a relationship and foretell its ending, a straightforward proposition with rather complex methodological implications. To adequately capture specific temporal patterns in perceptions of the partner, we conducted two longitudinal studies with multiple measurement occasions relatively close in time. For each predictor variable, we estimated each individual’s initial level at the start of the study, the trend of increasing or decreasing perceptions over time, and the extent of variation or fluctuation over time. Variation in a variable has been used in previous research to capture theoretically meaningful patterns (cf. Aronson & Inzlicht, 2004; Arriaga, 2001; Campbell et al., 2005; Crocker, Karpinski, Quinn, & Chase, 2003). Study 1 provided a test of all hypotheses, focusing exclusively on individuals in relatively newly formed relationships (no more than 6 months in duration). Participants completed eight measurement occasions on a weekly basis and a follow-up session 2 months after Time 8 to assess breakup. Because this study was time intensive (it involved weekly sessions), many of the variables were measured with single items, as has been done in other time-intensive studies (e.g., Bolger, Zuckerman, & Kessler, 2000) or studies demonstrating adequate validity of single-item measures (e.g., Robins, Hendin, & Trzesniewski, 2001, with respect to self-esteem; Agnew, Van Lange, Rusbult, & Langston, 1998, as well as Aron, Aron, & Smollan, 1992, with respect to self–partner cognitive overlap). Study 2 served to validate the single-item measures used in Study 1 and assess whether findings generalize to (a) people in relationships of varying durations and (b) profiles based on multiple occasions separated by greater time spans (i.e., nine measurement occasions separated by 4 weeks each rather than by 1 week). Method Study 1 was conducted with undergraduate students who volunteered to participate as partial fulfillment of a course requirement at a large Midwestern university. Study 2 relied on extant data collected as part of a major study on substance use in a sample of entering freshman students at a large Midwestern university. Own Attachment Style The temporal profiles described above may have origins in individual differences that are relevant to close relationships, such as attachment style (see Simpson & Rholes, 1998, for an overview of attachment processes). More so than individuals described as secure or avoidant, those who are anxious gauge their perceptions of the partner on the basis of their daily partner interactions and thus may exhibit more volatility in inferring partner motives (Campbell et al., 2005). We anticipated that fluctuation in perceived partner commitment would be positively correlated with anxious attachment tendencies (Hypothesis 5) but not necessarily with avoidant tendencies. We examined the correlations of fluctuation in perceived partner commitment specifically with the absolute level of each insecure attachment variable, rather than changes in insecure attachment variables, given that attachment style is considered to be stable over relatively short periods of time (Fraley, 2002). Participants In Study 1, of the 130 individuals who attended the Time 1 session, 25 participants were eliminated because they did not meet the criteria for inclusion in this sample. Through a series of checks and assessments, it became clear that 4 participants made up their responses, 4 were in relationships longer than 6 months in duration at the start of the study (i.e., they ignored inclusion criteria provided during recruitment), 2 were dating another participant in the study (they were randomly chosen over their partner to ensure independence of observations), and 15 participants reported at Time 4 that their relationship had ended and thus did not provide sufficient observations to establish a reliable longitudinal pattern. In the absence of guidelines on how many observations are necessary to establish whether a pattern of fluctuation occurs, it seemed reasonable to assume that three data points would not be sufficient (at most, if they fluctuate, one would capture a curvilinear pattern). Participants whose relationships ended after Time 4 but before the follow-up session (n ⫽ 7), or ended by the follow-up (n ⫽ 21), were coded as a breakup. 1050 ARRIAGA, REED, GOODFRIEND, AND AGNEW Of the original 130 participants, 23 (18%) were lost because of attrition: 9 participants voluntarily dropped the study after Time 1 whereas 14 could not be reached for the follow-up session and thus had missing information regarding their relationship status (persisted vs. ended). These 23 participants did not differ significantly in their Time 1 level of perceived partner commitment from those who were retained in the Study 1 sample, F(1, 104) ⫽ 1.96, ns. The final Study 1 sample of 82 individuals consisted of 44 women and 38 men in relatively newly formed dating relationships (6 months or less), who had usable data from at least four consecutive measurement occasions and who subsequently provided data on their breakup status. Study 2 examined individuals in relationships of all durations. The larger study from which the Study 2 sample was derived involved 912 incoming freshman students who were recruited to provide weekly data on various topics over the course of their freshman year. Initial recruitment took place during the summer prior to starting their freshmen year, when students visited campus as part of an orientation event. Study inclusion criteria included some past experience with cigarette smoking (i.e., at least one puff) prior to the study. Participants were paid for completing each weekly survey, resulting in a subject retention rate of more than 90% over the 35 consecutive weeks of the freshmen year. Every 4 weeks there were questions assessing whether they were in a romantic relationship and tapping various characteristics of their relationships; we examined the sample of individuals who reported being in a relationship (n ⫽ 630) at some point over the course of the study. Of these, 38 (6%) were lost because of attrition (i.e., they left the university or voluntarily stopped participating in the study before it ended). Given that these were freshman students, with many involved in fluid, short-term relationships, many did not meet the criteria for inclusion in this sample: They did not have a relationship that remained intact for 4 consecutive times and thus did not provide sufficient observations to establish a reliable longitudinal pattern (n ⫽ 339). The final Study 2 sample of 253 individuals consisted of 111 women (44%) and 142 men (56%) who had usable data from at least four measurement occasions. Unlike Study 1, there was not a follow-up session to assess breakup; instead, participants who provided data about an intact relationship for 4 consecutive times and whose relationships subsequently ended over the course of the study were included in the sample and coded as a breakup. Study 1 and Study 2 participants were similar, except for the duration of their relationships. Study 1 participants’ relationships were, on average, 3 months in duration at Time 1; Study 2 participants’ relationships were, on average, 16 months in duration when they became included in the current sample. At Time 1, Study 1 participants were 19 years old on average (SD ⫽ 1.36); Study 2 participants were almost exclusively 18 years old given that they were college freshmen. The majority were White (in Study 1, 88% White, 7% Asian American, 4% Latino, and 1% African American; in Study 2, 87% White, 5% Asian American, 2% Latino, 1% African American, and 3% Other). Sixty-six percent (n ⫽ 54) of Study 1 participants continued to be in their relationships at follow-up whereas 34% (n ⫽ 28) were no longer dating their Time 1 partners. Seventy-five percent (n ⫽ 189) of Study 2 participants continued in their relationships over the course of the study whereas 25% (n ⫽ 64) were in relationships that ended. Given that Study 1 participants were exclusively in relatively newly formed relationships, it is not surprising that a higher percentage of these relationships ended. Procedure Study 1 data were collected over the course of two semesters; the results did not differ between the two semesters (i.e., there were no main or interaction effects for semester designation). Data collection sessions for Time 1 through Time 8 were conducted on a weekly basis in a small classroom; approximately 10 –20 participants took part in each session. At Time 1, the experimenter described the study tasks and obtained written consent from participants. At each time period thereafter, the experimenter reviewed the activities for the day’s session, assured participants that their responses would remain confidential, and distributed questionnaires. Each session lasted approximately 15 minutes. At Time 8, participants completed an additional one-page questionnaire that probed for dishonest responding. The instructions reiterated that they would receive full credit regardless of their responses to these final probes. At Time 8, participants were also debriefed and thanked for their assistance. Follow-up questions were administered by telephone roughly 2 months after Time 8. For Study 2, participants logged onto the study website (with a preassigned username and a personally selected password) each week and were presented with a set of survey questions. The initial weekly survey was administered at the beginning of the fall semester and the final weekly survey was administered during the final week of the spring semester. Surveys were available every week, including winter and spring breaks, for a total of 35 consecutive weeks. Participants were paid for participation each week, which varied from week to week, but over 87% of participants completed all surveys. A set of questions was presented each week to participants focusing primarily on substance use over the preceding week (e.g., cigarette use). In addition, participants responded to a differing subset of questions each week about other aspects of their lives (relationships, stress, sleep habits, etc.). These additional questions were rotated on a 4-week schedule; thus, relationship variables were administered every 4 weeks for a total of nine times over the course of the 35-week study. Measures Included in Both Studies Perceptions of the partner’s commitment was measured by a single item in Study 1. Participants were asked, “How committed is your partner to the relationship?” followed by a 9-point response scale ranging from 0 (not at all committed) to 8 (very committed). In Study 2, this variable was measured with four items (␣ at initial time ⫽ .93), adapted from the Investment Model Scale (Rusbult, Martz, & Agnew, 1998): “My partner is committed to maintaining our relationship,” “My partner intends to stay in this relationship,” “My partner feels very attached to our relationship – very strongly linked to me,” “My partner is oriented toward the long-term future of our relationship (for example, imagines being with me several years from now)”; participants indicated their level of agreement with each item on a 9-point response scale ranging from 0 (do not agree at all) to 8 (agree completely). To validate the single item used to tap perceived partner commitment in Study 1, we derived two variables, one based on a single Study 2 item (“My partner is committed to maintaining our relationship”) that is similar to the single Study 1 item and a second one based on the four Study 2 items averaged together. We then correlated these two variables at each time. The average correlation across all times was .95 (range ⫽ .91–.98). Study 2 analyses of perceived partner commitment included the variable based on an average of the four items. Own level of satisfaction was measured by a single item in Study 1—“I feel satisfied with our relationship at the moment”—followed by a 9-point response scale ranging from 0 (do not agree at all) to 8 (agree completely). In Study 2, this variable was measured with three items adapted from the Investment Model Scale (␣ at initial time ⫽ .89): “I feel satisfied with our relationship,” “My relationship is better than others’ relationships,” and “Our relationship makes me very happy”; participants indicated their level of agreement with each item on a 9-point response scale ranging from 0 (do not agree at all) to 8 (agree completely). To validate the single item used to tap own satisfaction level in Study 1, at each time we correlated a variable based on a single Study 2 item (“I feel satisfied with our relationship”) that was almost identical to the single Study 1 item with a variable based on the three Study 2 items averaged together. The average correlation across all times was .95 (range ⫽.91– .97). Study 2 analyses of own satisfaction level included the variable based on an average of the three items. FLUCTUATIONS IN PERCEIVED PARTNER COMMITMENT Own level of commitment was measured in Study 1 by a single item from the Investment Model Scale—“I am committed to maintaining my relationship with my partner”—and in Study 2 by four items from this scale (␣ at initial time ⫽ .93): “I am committed to maintaining my relationship with my partner,” “I intend to stay in this relationship,” “I feel very attached to our relationship – very strongly linked to my partner,” and “I am oriented toward the long-term future of my relationship (for example, I imagine being with my partner several years from now).” In all cases, participants indicated their level of agreement with each item on a 9-point response scale ranging from 0 (do not agree at all) to 8 (agree completely). To validate the single item used to tap own commitment level in Study 1, at each time period we correlated a variable based on the Study 2 item that was identical to the single Study 1 item, with a variable based on the four Study 2 items averaged together. The average correlation across all times was .95 (range ⫽ .92–.98). Study 2 analyses of own commitment level included the variable based on an average of the four items. Breakup status was measured in Study 1 with the following question: “Are you still dating the same person that you were when you last participated in this study?” We derived a two-level breakup status variable consisting of the group of participants whose relationships persisted (n ⫽ 54) versus the group whose relationships ended (n ⫽ 28). Similarly in Study 2, at each time when participants were asked about their relationship, they were asked whether they had a romantic partner. If they indicated that they did have a romantic partner, they were asked to provide the first name and first letter of the last name of that person. Subsequently, they were given that person’s name and asked if they were still involved in a romantic relationship with that person. The persisted group was based on participants who indicated they had the same partner throughout the study (n ⫽ 189), and the ended group was based on participants who indicated they no longer had the same partner from the previous time (n ⫽ 64). Measures Included Only in Study 1 Perceptions of positive partner behavior was measured by using two items (“Based on what has occurred in the past week, how much did your partner do nice things that matter to you?” “How representative are these nice behaviors of the type of person your partner is?”), followed by a 9-point response scale ranging from 0 (very little/not at all representative) to 8 (very much/very representative). These two items were averaged (␣ at initial time ⫽ .86). Perceptions of negative partner behavior was measured by using two items asking participants “Based on what has occurred in the past week, how much did your partner do negative things that matter to you?” and “How representative are these negative behaviors of the type of person your partner is?”, followed by a 9-point response scale ranging from 0 (very little/not at all representative) to 8 (very much/very representative). These two items were averaged (␣ at initial time ⫽ .74). Attachment style was measured for other purposes beyond the current research that demanded using a multiitem scale. We used the 17-item Adult Attachment Questionnaire (Simpson, Rholes, & Phillips, 1996), which consists of a series of statements and a 9-point response scale ranging from 0 (do not agree at all) to 8 (agree completely). Nine items captured an anxious–ambivalent attachment dimension (e.g., “I often worry that my partner(s) don’t really love me”; ␣ at initial time ⫽ .79); these items were averaged such that higher numbers reflect anxious–ambivalent tendencies. Eight items captured an avoidant attachment dimension (e.g., “I don’t like people getting too close to me”; ␣ at initial time ⫽ .77); these items were averaged such that higher numbers reflect avoidant tendencies. For purposes of validating the measure of perceived partner commitment, there was an item in Study 1 only that tapped confidence in a partner’s dependability. Participants were asked, “How confident are you that you can depend on your partner?” followed by a 9-point response scale ranging from 0 (not at all confident) to 8 (very confident). At Time 1, 1051 perceived partner commitment and confidence in a partner’s dependability were highly significantly correlated, r(82) ⫽ .79, p ⬍ .001, providing evidence of convergent validity. Furthermore, at Time 1, correlations of perceived partner commitment with other relationship variables were also significant but lower in magnitude: own level of commitment, r(82) ⫽ .34, p ⫽ .002; own level of satisfaction, r(82) ⫽ .62, p ⬍ .001; and the correlations with individual difference variables were even lower in magnitude, thus providing evidence of divergent validity: anxious–ambivalent attachment style, r(82) ⫽ ⫺.27, p ⫽ .014; avoidant attachment style, r(82) ⫽ ⫺.12, ns. Results Strategy for Analyzing Change Over Time Analysis of the data proceeded in two stages. First, we used SAS software’s PROC MIXED (SAS Institute, 1992; Singer, 1998) and additional SAS data steps to derive the three within-person change estimates (i.e., initial level, linear trend over time, fluctuation over time) for each perception variable. Second, we used these estimates to predict breakup status in subsequent regression models. We adopted this two-stage strategy to address several challenges described below. One challenge concerned the hierarchical (nested) nature of the data; repeated ratings over time were nested within a participant. That is, each observation corresponded to a particular time for a particular participant, so there were multiple observations for each participant (one for each time). Because observations were clustered by participant, they were likely to violate the assumption of being independent (Gable & Reis, 1999). By adopting a multilevel model approach, PROC MIXED accounted for nesting of observations within participant by treating the intercept and slope as random rather than fixed variables.2 Were repeated ratings clustered (nested) within a person? The intraclass correlation () provides an indicator of clustering; it reflects the proportion of total variance explained by betweenperson variation versus within-person variation (i.e., betweenperson variance divided by the sum of between-person variance and within-person variance; Singer, 1998). In Study 1, the extremely high value ( ⫽ .97) indicated little variance within participants relative to variance between participants (i.e., a particular participant’s responses were homogenous), suggesting a multilevel model approach over standard (ordinary least squares) regression. In Study 2, the intraclass correlation ( ⫽ .24) indicated less within-participant clustering than in Study 1 but a fair amount of clustering nonetheless that could inflate the Type 1 error rate (Kashy & Kenny, 2000). A second challenge was more difficult to overcome and concerned how to examine whether fluctuation over time in one or 2 By treating the intercept and slope as random variables, we can assume we sampled ratings from a participant rather than obtained all possible ratings for each participant (that is, we did not obtain the population of ratings for each participant). Just as samples vary in the number of observations included, participants varied in the number of observations included. It was not essential that all participants have the same number of observations (i.e., the same number of measurement occasions), and participants who missed an occasion could still be included in the analysis. As in hierarchical linear and nonlinear modeling (see Karney & Bradbury, 1997), PROC MIXED adjusts participant-specific estimates for their precision. 1052 ARRIAGA, REED, GOODFRIEND, AND AGNEW more variables predict later breakup status—for example, whether vacillating versus generally stable levels of (a) perceived partner commitment and (b) own commitment each predicted later breakup when examined simultaneously. We first describe our approach and then explain why we adopted it. Our strategy was to derive growth curve estimates for each participant (cf. Karney & Bradbury, 1995). Growth curve analysis can be thought of as calculating a regression model for each participant, where his or her repeated perception ratings are regressed onto time. Specifically, we used PROC MIXED to test the following (Level 1) model, where the time variable was recoded so that the first time period had a value of zero: variable measured at all times ⫽ intercept ⫹ slope(time)⫹ residual This provided output to construct a new data set with several observations for each participant (one observation at each time). The new data set included each participant’s actual rating at each time and the predicted rating based on the estimated linear slope in his or her ratings from one time to the next.3 For each participant, we derived three change estimates of each predictor variable. One estimate was a participant’s initial perception at the start of the study, on the basis of the estimated intercept (i.e., given the way time was coded, each participant’s predicted level when time equaled zero). A second estimate was a participant’s trend in a given variable over time on the basis of the linear slope in ratings (i.e., the predicted rating at one time minus the predicted rating at the previous time), which reflected whether a participant’s ratings on a variable generally followed a general pattern of increase versus decrease over time. A third variable was the amount of fluctuation over time in a variable for a given participant, on the basis of variation in the participant’s slope. We used the deviation between an actual (observed) score at a given time and the predicted score (based on the Level 1 model) to calculate the standard deviation around the slope line in each participant’s ratings.4 For each predictor, we derived these three variables reflecting a given participant’s change estimates— his or her initial level of a given predictor, the linear trend over time, and fluctuation over time. We used these participant-specific estimates in subsequent standard regression analyses predicting breakup status (persisted vs. ended). We repeated all of the analyses by using logistic regression; this did not alter the patterns of significance. Rather than derive change variables in one step (based on the Level 1 model) and analyze them in a second step (the Level 2 regression model), an alternate strategy might have been an “allin-one” model, in which a single step is used to compare breakup groups in their intercepts, slopes, and of noted importance, fluctuation. Commonly used multilevel model programs, such as HLM and SAS software’s PROC MIXED, typically take this approach to analyze intercepts and slopes as random variables. However, several of our hypotheses required two critical tasks: (a) examining fluctuation in a variable (based on the within-person residual, rij), and (b) assessing the association of breakup status with several Level 1 variables simultaneously—that is, we wanted to see if breakup groups differed in one fluctuation variable (e.g., fluctuation in perceived partner commitment), controlling for another fluctuation variable (e.g., fluctuation in own commitment). None of the commonly used programs accomplish both tasks in a single step. HLM can be used to model intercepts and slopes for several variables simultaneously in a single step (in the Level 1 model). However, it currently cannot be used to compare ended versus persisted relationships in Level 1 fluctuation in these variables, which was the crucial variable in this research. On the other hand, SAS’s PROC MIXED can be used to examine fluctuation in a single variable, but it is not straightforward how to examine several fluctuation variables simultaneously (i.e., several variables in the Level 1 model).5 In short, we could have used SAS’s PROC MIXED to test an all-in-one model to reflect hypotheses concerning fluctuation in only one perception variable (e.g., Hypothesis 1, the association of breakup status with fluctuation in perceived partner commitment, controlling for the slope and intercept). However, we could not use this program to examine several fluctuation variables simultaneously, as was specified in several hypotheses. Testing these hypotheses required adopting the two-stage approach. It is important to note that in cases for which we could test a hypothesis by using SAS PROC MIXED’s all-in-one approach (i.e., the association of breakup status with fluctuation in perceived partner commitment, controlling for the slope and intercept), we analyzed the data this way as well as by using the two-step approach (deriving estimates in one step and analyzing them in a second step); in no case were the results weakened, and in most cases we obtained greater significance by using the all-in-one approach. For the sake of consistency, we present the results of the two-step approach for all hypothesis tests. Descriptive Statistics and Correlations Table 1 presents the estimates and standard deviations for all within-person change variables for each sample. The standard deviation for each fluctuation variable was not included because multilevel model analyses do not yield this information (i.e., the variance for the residual term). In both studies, participants initially perceived their partner to be relatively committed (7.19 for Study 1 and 7.43 for Study 2, both on a 0 – 8 scale). In Study 1, perceptions of partner commitment significantly declined over time (⫺.06), whereas the decline was a nonsignificant trend in Study 2 (⫺.01). Overall levels of fluctuation in perceived partner commitment were comparable in the two studies (.47 and .48). 3 A linear model suggests that, on average, individuals’ repeated ratings follow a linear pattern more closely than other patterns (e.g., a curvilinear pattern). Linear patterns have been shown to adequately approximate change over relatively short periods of time in relationship variables (Arriaga, 2001), even when the true model follows another pattern (Rogosa, Brant, & Zimowski, 1982). 4 This was the standard error of the estimate, which in this case was the standard deviation in a linear model with two estimates (an intercept and a slope). Given that the model had two estimates rather than just one estimate (such as a model that calculates only the mean level over time rather than the intercept and slope), we calculated the standard deviation by using n – 2 in the denominator to adjust for two model estimates rather than n – 1. 5 We thank Niall Bolger for showing us a way to use SAS PROC MIXED to examine fluctuation in a single (Level 1) variable, which cannot be achieved with hierarchical linear and nonlinear modeling. For more information on the SAS approach, see the Appendix. FLUCTUATIONS IN PERCEIVED PARTNER COMMITMENT 1053 Table 1 Estimates and Standard Deviations of Within-Person Change Variables (Study 1 and Study 2) Study 1 (n ⫽ 82) Variable Initial level (intercept) Perceived partner commitment Perceived positive partner behavior Perceived negative partner behavior Own satisfaction level Own commitment level Trend over time (slope) Perceived partner commitment Perceived positive partner behavior Perceived negative partner behavior Own satisfaction level Own commitment level Fluctuation over time (residual) Perceived partner commitment Perceived positive partner behavior Perceived negative partner behavior Own satisfaction level Own commitment level Study 2 (n ⫽ 253) Estimate p⬍ SD p⬍ Estimate p⬍ SD p⬍ 7.19 6.84 1.80 6.68 7.03 .001 .001 .001 .001 .001 1.01 1.06 1.63 1.25 1.18 .001 .001 .001 .001 .001 7.43 — — 7.01 7.29 .001 — — .001 .001 0.84 — — 1.04 1.04 .001 — — .001 .001 ⫺.06 ⫺.07 .09 ⫺.05 ⫺.08 .010 .003 .002 .049 .001 .15 .15 .18 .18 .14 .001 .005 .002 .001 .001 ⫺.01 — — ⫺.01 ⫺.03 .195 — — .488 .005 .10 — — .10 .13 .001 — — .001 .001 0.47 0.87 1.27 0.75 0.55 .001 .001 .001 .001 .001 0.48 — — 0.74 0.58 .001 — — .001 .001 Note. Columns labeled p ⬍ indicate whether the corresponding estimate or standard deviation is significantly different from zero. Results of multilevel models do not yield the standard deviation for fluctuation over time (i.e., the within-person residuals); thus, those estimates are omitted above. Dashes indicate that perceived positive partner behavior and perceived partner negative behavior were not measured in Study 2. Table 2 presents these estimates by breakup group for each study. In both studies, at the univariate level (not controlling for other variables) individuals in relationships that ended had levels of perceived partner commitment that decreased and fluctuated more over time, levels of satisfaction that were initially lower and fluctuated more over time, and levels of own commitment that were initially lower, decreased more, and fluctuated more over time, relative to individuals in relationships that persisted. The ended group also had perceptions of positive partner behavior that were initially lower and fluctuated more over time, relative to the persisted group (examined in Study 1 only). Group differences in initial level of perceived partner commitment and the trend in own Table 2 Estimates of Within-Person Change Variables, for Each Breakup Status Group (Study 1 and Study 2) Study 1 (n ⫽ 82) Persisted (n ⫽ 54) Variable Initial level (intercept) Perceived partner commitment Perceived positive partner behavior Perceived negative partner behavior Own satisfaction level Own commitment level Trend over time (slope) Perceived partner commitment Perceived positive partner behavior Perceived negative partner behavior Own satisfaction level Own commitment level Fluctuation over time (residual) Perceived partner commitment Perceived positive partner behavior Perceived negative partner behavior Own satisfaction level Own commitment level Study 2 (n ⫽ 253) Ended (n ⫽ 28) Persisted (n ⫽ 189) Ended (n ⫽ 64) Estimate p⬍ Estimate p⬍ Estimate p⬍ Estimate p⬍ 7.42a 7.08a 1.68 6.99a 7.34a .001 .001 .001 .001 .001 6.77b 6.42b 2.03 6.10b 6.45b .001 .001 .001 .001 .001 7.54 — — 7.26a 7.47a .001 — — .001 .001 7.23 — — 6.35b 6.85b .001 — — .001 .001 .00a ⫺.05 .07 ⫺.03 ⫺.04a .753 .036 .020 .117 .007 ⫺.17b ⫺.15 .12 ⫺.10 ⫺.17b .006 .025 .086 .169 .006 .01a — — .01a ⫺.01a .123 — — .537 .353 ⫺.16b — — ⫺.09b ⫺.16b .001 — — .038 .002 0.26a 0.67a 1.32 0.60a 0.44a .001 .001 .001 .001 .001 0.89b 1.27b 1.11 1.08b 0.77b .001 .001 .001 .001 .001 .35a — — .56a .42a .001 — — .001 .001 0.97b — — 1.48b 1.20b .001 — — .001 .001 Note. Columns labeled p ⬍ indicate whether the corresponding estimate or standard deviation is significantly different from zero. For each study, estimates within a row with different subscripts indicate a significant difference between persisted and ended, p ⬍ .05. Dashes indicate that perceived positive partner behavior and perceived partner negative behavior were not measured in Study 2. ARRIAGA, REED, GOODFRIEND, AND AGNEW 1054 Table 3 Correlations Among Within-Person Change Variables (Study 1) Variable Initial level (intercept) 1. Perceived partner commitment 2. Perceived positive behavior 3. Own satisfaction level 4. Own commitment level Trend over time (slope) 5. Perceived partner commitment 6. Perceived positive behavior 7. Own satisfaction level 8. Own commitment level Fluctuation over time (residual) 9. Perceived partner commitment 10. Perceived positive behavior 11. Own satisfaction level 12. Own commitment level * p ⬍ .05. 1 2 3 4 5 6 7 — .58** .58** .49** — .76** .65** — .85** — .54** .28* ⫺.11 .38** .62** .73** .22* .58** .67** .65** .53** .77** .59** .48** .36** .82** — .64** .40** .63** — .60** .57** ⫺.66** ⫺.37** ⫺.34** ⫺.55** ⫺.58** ⫺.74** ⫺.45** ⫺.47** ⫺.54** ⫺.47** ⫺.55** ⫺.65** ⫺.52** ⫺.30** ⫺.44** ⫺.73** ⫺.55** ⫺.49** ⫺.30** ⫺.40** ⫺.28* ⫺.54** ⫺.28* ⫺.30** — .56** .04 ⫺.10 ⫺.08 ⫺.15 8 9 10 11 12 — .63** .57** .52** — .49** .28* — .55** — — ⫺.45** ⫺.29** ⫺.27** ⫺.49** ** p ⬍ .01. second sample was composed of the remaining participants (n ⫽ 177). The mean relationship duration of participants in the first Study 2 subsample was 3 months, as was the case in Study 1; the mean relationship duration of participants in the second Study 2 subsample was 22 months. Thus, the Study 1 sample and first Study 2 subsample were comparable in the type of participant and sample size, and the only major difference was the time lag between measurement occasions (1 week in Study 1 vs. 4 weeks in Study 2). satisfaction level were less robust (i.e., significant for one but not both studies). None of the results involving perceived negative partner behavior were significant, so this variable was not examined in further analyses. Tables 3 and 4 display respectively Study 1 and Study 2 correlations among predictor variables. Correlations among variables tapping a particular type of change (i.e., a particular change estimate, such as fluctuation) were generally higher in Study 2 than Study 1. Correlations among the three change estimates for a single predictor variable tended to be comparable in both studies and generally fell into a moderate to high range (the average magnitude was .54). Testing Hypothesis 1 Do fluctuations in perceived partner commitment uniquely predict breakup? As can be seen in Table 5 (top half for Study 1, bottom half for Study 2: rows for Perceived Partner Commitment, Simple Association column), initial level, linear trend, and fluctuation in perceived partner commitment each were significantly associated with breakup status. In both studies, when examining initial level of perceived partner commitment, the linear trend, and fluctuation in a simultaneous regression, fluctuation had a unique association with breakup status, as did the trend (see the Individual Comparing Study 1 and Study 2 We assessed support for each hypothesis in Study 1 and Study 2. In cases where results of the two studies differed in ways that were relevant to the hypotheses, we divided the Study 2 sample into two subsamples. The first subsample, comparable to Study 1, included participants who had been dating 6 months or less (n ⫽ 76); the Table 4 Correlations Among Within-Person Change Variables (Study 2) Initial level Variable Initial level (intercept) 1. Perceived partner commitment 2. Own satisfaction level 3. Own commitment level Trend over time (slope) 4. Perceived partner commitment 5. Own satisfaction level 6. Own commitment level Fluctuation over time (residual) 7. Perceived partner commitment 8. Own satisfaction level 9. Own commitment level * p ⬍ .05. ** p ⬍ .01. 1 2 Trend over time 3 4 5 — .75** .67** — .79** — .20** .38** .17** .35** .48** .31** .16** .32** .16* — .67** .64** — .77** ⫺.67** ⫺.47** ⫺.45** ⫺.59** ⫺.68** ⫺.60** ⫺.46** ⫺.41** ⫺.57** ⫺.50** ⫺.42** ⫺.35** ⫺.54** ⫺.55** ⫺.52** Fluctuation over time 6 7 8 9 — .67** .64** — .79** — — ⫺.36** ⫺.46** ⫺.51** FLUCTUATIONS IN PERCEIVED PARTNER COMMITMENT 1055 Table 5 Regression Analyses Predicting Breakup Status (Ended vs. Persisted), Study 1 and Study 2 Simultaneous effects Variable Simple association (Pearson r) Individual estimate () Overall model R2 F df Study 1 (n ⫽ 82) Perceived partner commitment Initial level Linear trend Fluctuation Perceived positive partner behavior Initial level Linear trend Fluctuation Own satisfaction Initial level Linear trend Fluctuation Own commitment Initial level Linear trend Fluctuation .37** .46** ⫺.48** .01 .28* ⫺.32* .28** 10.24** 3, 78 .37** .31** ⫺.34** .19 .08 ⫺.16 .14** 4.56** 3, 78 .42** .17 ⫺.33** .36* ⫺.03 ⫺.13 .19** 6.04** 3, 78 .44** .41** ⫺.29** .35 .13 .03 .20** 6.57** 3, 78 Study 2 (n ⫽ 253) Perceived partner commitment Initial level Linear trend Fluctuation Own satisfaction Initial level Linear trend Fluctuation Own commitment Initial level Linear trend Fluctuation .28** .37** ⫺.40** .09 .24** ⫺.22* .20** 21.02** 3, 249 .41** .30** ⫺.41** .24** .08 ⫺.21* .21** 21.50** 3, 249 .33** .31** ⫺.41** .17* .16* ⫺.23** .20** 20.45** 3, 249 Note. Breakup status was coded 0 for ended and 1 for persisted. * p ⬍ .05. ** p ⬍ .01. estimate column). We performed a second simultaneous regression that also included higher order interactions among initial level, trend, and fluctuation. None of the interactions were significant in Study 1, but there was a significant two-way interaction between the linear trend and fluctuation in Study 2, t(253) ⫽ ⫺3.29, p ⫽ .001. To decompose the interaction, we did a median split on the linear trend. Controlling for initial level, in Study 2 greater fluctuation was highly associated with less persistence among individuals whose perceptions increased over time ( ⫽ ⫺.46, p ⫽ .002) and not associated with breakup status among those whose perceptions decreased over time ( ⫽ ⫺.18, p ⫽ .116). Initial level of perceived partner commitment did not have a unique association with breakup status in any of these analyses. Given the inconsistent finding between Study 1 and Study 2, we repeated the interaction analysis in the two subsamples of Study 2 described above, one with individuals in more recently initiated relationships (comparable with Study 1) and another with the remaining Study 2 participants. When regressing breakup status onto initial level, the linear trend, fluctuation, and higher order interactions, the interaction between linear trend and fluctuation was not significant in the Study 2 subsample of individuals in newly formed relationships, t(76) ⫽ ⫺1.01, ns, as was the case in Study 1. However, this interaction was significant in the Study 2 subsample of individuals in relatively established relationships (longer than 6 months), t(177) ⫽ ⫺2.29, p ⫽ .023, and decomposition of this interaction revealed a pattern similar to the full Study 2 sample. This suggests that Hypothesis 1 received robust support among individuals in newly formed relationships: Controlling for their initial level and increases or decreases in perceived partner commitment, we found that they were more likely to have relationships that ended to the extent that their levels of perceived partner commitment fluctuated over time; the linear trend in perceived partner commitment also had a unique association with breakup status, but initial perceived partner commitment did not. Support for Hypothesis 1 among individuals in more established relationships was conditional: The unique association of fluctuation in perceived partner commitment with breakup status occurred only among individuals whose perceptions increased over time and not among those whose perceptions decreased over time. 1056 ARRIAGA, REED, GOODFRIEND, AND AGNEW Do specific temporal profiles have different odds of breakup? The regression results just described can be interpreted in terms of the four specific temporal profiles outlined in the introduction. The moderated effect of fluctuation among individuals in longer lasting relationships suggests that, when one’s overall perception of the partner’s commitment (initial or absolute level) is controlled for, the amount of fluctuation in perceptions is linked to breakup status but only among those individuals whose perceptions are increasing over time (Profiles 1 and 2) and not among those whose perceptions are decreasing over time (Profiles 3 and 4). In contrast, the main effect of fluctuation among individuals in newly formed relationships suggests that, regardless of one’s perception of the partner at the outset of the study or whether one’s perceptions increase or decrease over time, greater fluctuation (Profiles 2 and 4) goes with greater odds of breakup. Tables 6 and 7 provide a concrete illustration of the odds of breakup for each of the four profiles among individuals in newly formed relationships, where there was a main effect for fluctuation (entire sample of Study 1 and subsample of Study 2). We created two groups to reflect the trend in perceived partner commitment— those whose levels increased over time (i.e., positively sloped values; n ⫽ 36 for Study 1 and n ⫽ 47 for the Study 2 subsample) versus those whose levels decreased (i.e., negatively sloped values; n ⫽ 46 for Study 1 and n ⫽ 29 for the Study 2 subsample). We conducted a median split on fluctuation in perceived partner commitment to create two groups—those whose levels fluctuated over time (n ⫽ 41 for Study 1 and n ⫽ 38 for the Study 2 subsample) versus those whose levels were relatively steady (n ⫽ 41 for Study 1 and n ⫽ 38 for the Study 2 subsample). Combining these two categorical variables allowed us to examine frequencies and percentages of ended versus persisted relationships in each of four groups approximating a temporal profile.6 The results are displayed in the top halves of Table 6 (Study 1) and Table 7 (Study 2 subsample). The four groups were defined by actual levels on the trend and fluctuation variable and initial levels were not controlled for; as such, this analysis does not fully correspond to the regression models used to test Hypothesis 1, which controlled for initial level. Two findings stand out from this analysis. First, individuals whose perceptions of their partner’s commitment increased over time were much more likely to have steady than fluctuating perceptions (28 of 36, or 78%, in Study 1; 29 of 47, or 62%, in the Study 2 subsample), and individuals whose perceptions of their partner’s commitment decreased over time were much more likely to have fluctuating than steady perceptions (33 of 46, or 72%, in Study 1; 20 of 29, or 69%, in the Study 2 subsample). This is consistent with the correlations reported in Table 3 (Study 1) and Table 4 (Study 2): Individuals’ trends over time in perceived partner commitment and the extent of fluctuation in their trends were closely aligned: Study 1, r(82) ⫽ ⫺.55, p ⬍ .001; Study 2 full sample, r(253) ⫽ ⫺.50, p ⬍ .001; Study 2 subsample, r(76) ⫽ ⫺.24, p ⫽ .038. Second, when one examines individuals whose perceptions of partner commitment declined over time (i.e., rows labeled Profiles 3 and 4 in Tables 6 and 7), those whose perceptions followed a steady decline (Profile 3) were likely to be in relationships that persisted despite the decline (77% in Study 1 and 78% in the Study 2 subsample). This was not the case for those whose perceptions followed a fluctuating pattern of decline over time (Profile 4)— roughly half of these individuals were in relationships that ended (58% in Study 1 and 60% in the Study 2 subsample). A similar pattern occurred among individuals whose perceptions followed a pattern of increase over time (Profiles 1 and 2)—a pattern of fluctuation increased odds of breakup. We repeated all of the descriptive analyses by calculating each individual’s mean level of perceived partner commitment over time and doing a median split on this variable rather than using his or her slope over time. The same pattern of results emerged. Testing Hypothesis 2 Hypothesis 2 suggested that, when examined simultaneously, perceptions of partner commitment should predict later breakup status better than perceptions of specific positive and negative partner behaviors (measured in Study 1 only). We did not examine perceptions of negative behaviors given that breakup groups did not differ on any of the three change estimates of this variable (see Table 2). All three of the change estimates of the perceived positive behavior variable had a significant correlation with breakup status (see Table 5, first column) but none had a unique association (Table 5, second column), possibly because of the high intercorrelations among these three variables, particularly initial level of perceived positive behavior with the linear trend and with fluctuation (see Table 2). To test Hypothesis 2, we compared the predictive value of each set of variables—initial level, trend, and fluctuation for perceived positive partner behavior versus the same three variables for perceived partner commitment. First, when breakup status was regressed onto all six variables, the change in R2 associated with adding the three perceived partner commitment variables as a group (i.e., the change in R2 when comparing a model with all six variables vs. one with the three perceived positive behavior variables only) was significant, F(3, 75) ⫽ 4.82, p ⫽ .004, whereas the change in R2 associated with adding the three perceived positive partner behavior variables as a group (i.e., the change in R2 when comparing a model with all six variables vs. one with the three 6 As stated in the introduction, we do not intend to suggest that individuals perfectly cluster into these four profiles; individuals vary continuously on the variables used to approximate the four profiles. Tables 6 and 7 include the number of participants approximating each profile for Study 1 and the Study 2 subsample. Not all participants had levels that increased or decreased over time. In Study 1, 35% of participants (n ⫽ 29) had slopes that were flat (i.e., they indicated the same response at each time); in Study 2, 36% of participants (n ⫽ 90) had flat slopes. Whereas the actual data of someone who provides the same response over time would suggest a slope of 0, multilevel modeling assigns slope values that are adjusted for the sample (or group) average slope. Categories in Tables 6 and 7 were based on the slope values assigned in a multilevel model analysis, some of which were close to 0 but slightly positive or negative (e.g., ⫺.001). The extent of increase over time for those whose perceptions increased was less than the extent of decrease over time for those whose perceptions decreased (.03 vs. ⫺.12 in Study 1; .02 vs. ⫺.08 in Study 2). When one removes individuals who started at the highest level and remained stable week after week at the highest level (i.e., an analysis removing respondents at the ceiling, as reported in a later section), the extent of increase versus decrease still differs but not as much (.07 vs. ⫺.12 in Study 1; .04 vs. ⫺.08 in Study 2). FLUCTUATIONS IN PERCEIVED PARTNER COMMITMENT 1057 Table 6 Breakup Rates as a Function of Perceived Partner Commitment Over Time for the Entire Study 1 Sample and for a Subsample Controlling for a Possible Ceiling Effect Breakup group Persisted Perceived partner commitment % Ended n % n 86 75 24 6 14 25 4 2 77 42 10 14 23 58 3 19 90 50 9 2 10 50 1 2 75 35 15 9 25 65 5 17 Entire sample (n ⫽ 82) Perceptions of partner commitment increase over time (n ⫽ 36) Profile 1: Steady increase (n ⫽ 28) Profile 2: Fluctuating increase (n ⫽ 8) Perceptions of partner commitment decrease over time (n ⫽ 46) Profile 3: Steady decline (n ⫽ 13) Profile 4: Fluctuating decline (n ⫽ 33) Subsample controlling for possible ceiling effect (n ⫽ 60) Perceptions of partner commitment increase over time (n ⫽ 14) Profile 1: Steady increase (n ⫽ 10) Profile 2: Fluctuating increase (n ⫽ 4) Perceptions of partner commitment decrease over time (n ⫽ 46) Profile 3: Steady decline (n ⫽ 20) Profile 4: Fluctuating decline (n ⫽ 26) Note. Profiles 1– 4 correspond to the four temporal profiles depicted in Figure 1 and described in the Introduction. For the entire sample, n for the persisted group ⫽ 54 and n for the ended group ⫽ 28. For the subsample, n for the persisted group ⫽ 35 and n for the ended group ⫽ 25. perceived partner commitment variables only) was not significant, F(3, 75) ⫽ 0.14, ns. Thus, Hypothesis 2 was supported. We sought to determine whether each perceived partner commitment variable predicted breakup status above and beyond the effect of the positive behavior variables. We did not attempt to interpret the effects of specific estimates in a simultaneous regression with six predictors, either in this analysis or subsequent analyses combining perceived partner commitment with own satisfaction or with own commitment, because of high levels of multicollinearity among the predictors (i.e., several with variance inflation factors above 4.0). Instead, we conducted three follow-up analyses, one for each perceived partner commitment variable, controlling for the three positive behavior variables. Controlling for the three perceived positive behavior variables in each of three separate regressions, breakup status was predicted by initial level in perceived partner commitment: overall model, F(4, 77) ⫽ 4.87, p ⫽ .002 (individual estimate for initial level of perceived partner commitment,  ⫽ .30, p ⫽ .027); by the linear trend in perceived partner commitment: overall model, F(4, 77) ⫽ 5.78, p ⬍ .001 ( ⫽ .39, p ⫽ .005); and by fluctuation in perceived partner commitment: overall model, F(4, 77) ⫽ 6.85, p ⬍ .001 ( ⫽ ⫺.46, p ⬍ .001). Thus, each of the three perceived partner commitment variables was a robust predictor of breakup when controlling for perceived positive behaviors. Testing Hypotheses 3 We examined whether fluctuation in perceptions of the partner’s commitment and fluctuation in one’s own level of satisfaction each had a unique association with subsequent breakup status when examined simultaneously (Hypothesis 3). In regressing breakup status onto both variables simultaneously, the overall model was significant in Study 1, F(2, 79) ⫽ 12.01, p ⬍ .001, and Study 2, F(2, 250) ⫽ 30.38, p ⬍ .001; fluctuation in perceived partner commitment provided unique prediction in Study 1 ( ⫽ ⫺.42, p ⬍ .001) and Study 2 ( ⫽ ⫺.23, p ⫽ .003), and fluctuation in own satisfaction provided unique prediction in Study 2 ( ⫽ ⫺.26, p ⬍ .001) but not Study 1 ( ⫽ ⫺.08, ns). In the Study 2 subsample that was comparable with the Study 1 sample, each of the two fluctuation variables uniquely predicted breakup status (fluctuation in perceived partner commitment,  ⫽ ⫺.28, p ⫽ .025; fluctuation in own satisfaction,  ⫽ ⫺.25, p ⫽ .043). Thus, Hypothesis 3 was moderately supported, with strong support for fluctuation in perceived partner commitment and partial support (in two of three samples) for fluctuation in own level of satisfaction. We compared the relative predictive value of own satisfaction variables versus perceived partner commitment variables in analyses parallel to those for Hypothesis 2. First, as seen in Table 5 (rows labeled Own Satisfaction in top half for Study 1 and bottom half for Study 2), each of the satisfaction variables was correlated with breakup status except for the linear trend in Study 1 (Simple Association column). Initial level in own satisfaction had a unique effect in Study 1 and Study 2 (Individual Estimate column) and fluctuation had a unique effect in Study 2; the linear trend in own satisfaction did not have a unique effect. Next, in Study 1, when entering the three perceived partner commitment variables as a group, controlling for the three own satisfaction variables, the change in R2 was significant, F(3, 75) ⫽ 3.74, p ⫽ .015, whereas the change in R2 associated with adding the three own satisfaction variables, controlling for the three perceived partner commitment variables, was not significant, F(3, 75) ⫽ 0.41, ns. In Study 2, when entering the three perceived partner commitment variables as ARRIAGA, REED, GOODFRIEND, AND AGNEW 1058 Table 7 Breakup Rates as a Function of Perceived Partner Commitment Over Time for Study 2 in Newly Formed Relationships and for a Subsample Controlling for a Possible Ceiling Effect Breakup group Persisted Perceived partner commitment % Ended n % n 93 83 27 15 7 17 2 3 78 40 7 8 22 60 2 12 95 79 19 11 5 21 1 3 60 40 6 6 40 60 4 9 Entire sample (n ⫽ 76) Perceptions of partner commitment increase over time (n ⫽ 47) Profile 1: Steady increase (n ⫽ 29) Profile 2: Fluctuating increase (n ⫽ 18) Perceptions of partner commitment decrease over time (n ⫽ 29) Profile 3: Steady decline (n ⫽ 9) Profile 4: Fluctuating decline (n ⫽ 20) Subsample controlling for possible ceiling effect (n ⫽ 59) Perceptions of partner commitment increase over time (n ⫽ 34) Profile 1: Steady increase (n ⫽ 20) Profile 2: Fluctuating increase (n ⫽ 14) Perceptions of partner commitment decrease over time (n ⫽ 25) Profile 3: Steady decline (n ⫽ 10) Profile 4: Fluctuating decline (n ⫽ 15) Note. Profiles 1– 4 correspond to the four temporal profiles depicted in Figure 1 and described in the Introduction. For the entire sample, n for the persisted group ⫽ 57 and n for the ended group ⫽ 19. For the subsample, n for the persisted group ⫽ 42 and n for the ended group ⫽ 17. a group, controlling for the three own satisfaction variables, the change in R2 was significant, F(3, 246) ⫽ 5.23, p ⫽ .002; the change in R2 associated with adding the three own satisfaction variables, controlling for the three perceived partner commitment variables, was also significant, F(3, 246) ⫽ 5.64, p ⬍ .001. Thus, perceived partner commitment variables were more predictive of breakup status than own satisfaction variables in Study 1, and both sets of variables were predictive in Study 2. We repeated the analysis in the subsample of Study 2 that was comparable to Study 1. The change in R2 associated with adding perceived partner commitment variables was significant, F(3, 69) ⫽ 7.62, p ⬍.001, as was adding own satisfaction variables, F(3, 69) ⫽ 3.45, p ⫽ .021, but the change in R2 was larger from adding the perceived partner commitment variables (.22 to .41) than from adding satisfaction variables (.32 to .41). To determine whether each perceived partner commitment variable might have a unique role in predicting breakup status when controlling for the three own satisfaction variables, we conducted follow-up analyses, one for each perceived partner commitment variable. In three analyses of Study 1 data, controlling for the three own satisfaction variables, breakup status was significantly predicted by the linear trend in perceived partner commitment: overall model, F(4, 77) ⫽ 6.57, p ⬍ .001 (individual estimate  ⫽ .35, p ⫽ .011); and by fluctuation in perceived partner commitment: overall model, F(4, 77) ⫽ 7.19, p ⬍ .001 ( ⫽ ⫺.40, p ⫽ .001); but initial level in perceived partner commitment only approached significant prediction of breakup status: overall model, F(4, 77) ⫽ 5.38, p ⬍ .001 ( ⫽ .27, p ⫽ .091). In three analyses of Study 2 data, controlling for the three own satisfaction variables, breakup status was predicted by the linear trend in perceived partner commitment: overall model, F(4, 248) ⫽ 20.16, p ⬍ .001 ( ⫽ .27, p ⫽ .001); and by fluctuation: overall model, F(4, 248) ⫽ 17.33, p ⬍ .001 ( ⫽ .16, p ⫽ .046), but not by initial level. Thus, when controlling for own satisfaction, the linear trend and fluctuation had robust unique associations with breakup status; initial level did not. Testing Hypotheses 4 We examined whether fluctuation in perceptions of the partner’s commitment and fluctuation in one’s own level of commitment each had a unique association with subsequent breakup status, when examined simultaneously (Hypothesis 4). In regressing breakup status onto both variables simultaneously, the overall model was significant in Study 1, F(2, 79) ⫽ 11.88, p ⬍ .001, and Study 2, F(2, 250) ⫽ 30.82, p ⬍ .001; fluctuation in perceived partner commitment provided unique prediction in Study 1 ( ⫽ ⫺.45, p ⬍ .001) and Study 2 ( ⫽ ⫺.23, p ⫽ .002), and fluctuation in own commitment provided unique prediction in Study 2 ( ⫽ –.26, p ⬍ .001) but not Study 1 ( ⫽ ⫺.06, ns). The same analysis in the Study 2 subsample that was comparable with the Study 1 sample replicated Study 1: Fluctuation in perceived partner commitment uniquely predicted breakup status ( ⫽ ⫺.29, p ⫽ .023), but fluctuation in own commitment did not ( ⫽ ⫺.21, p ⫽ .103). Thus, Hypothesis 4 was moderately supported, with strong support for fluctuation in perceived partner commitment and partial support for fluctuation in own commitment level (only among individuals in established relationships). We compared the relative predictive value of own commitment variables versus perceived partner commitment variables in analyses parallel to those for Hypotheses 2 and 3. First, as seen in Table 5 (rows labeled Own Commitment in top half for Study 1 FLUCTUATIONS IN PERCEIVED PARTNER COMMITMENT and bottom half for Study 2), each variable tapping own commitment was correlated with breakup status (Simple association column). None of the own commitment variables had unique effects in Study 1 (the variance inflation factor for initial level of own commitment was over 5.0), but all had unique effects in Study 2 (Individual Estimate column). In Study 1, when entering the three perceived partner commitment variables as a group, controlling for the three own commitment variables, the change in R2 was significant, F(3, 75) ⫽ 4.00, p ⫽ .011, whereas the change in R2 associated with adding the three own commitment variables, controlling for the three perceived partner commitment variables, was not significant, F(3, 75) ⫽ 1.06, ns. In Study 2, when entering the three perceived partner commitment variables as a group, controlling for the three own commitment variables, the change in R2 was significant, F(3, 246) ⫽ 5.21, p ⫽ .002; the change in R2 associated with adding the three own commitment variables, controlling for the three perceived partner commitment variables, was also significant, F(3, 246) ⫽ 4.72, p ⬍ .003. Thus, perceived partner commitment variables were more predictive of breakup status than own commitment variables in Study 1, but both were predictive in Study 2. Given this inconsistency, we repeated the analysis in the Study 2 subsample that was comparable with Study 1; replicating Study 1, the change in R2 was significant in adding the three perceived partner commitment variables, F(3, 69) ⫽ 4.06, p ⫽ .010, but not in adding the three own commitment variables, F(3, 69) ⫽ 0.78, ns. We also conducted follow-up analyses, one for each perceived partner commitment variable, to determine whether each of these three variables predicted breakup status beyond the three own commitment variables. In three analyses of Study 1 data, controlling for the three own commitment variables, breakup status was significantly predicted by the linear trend in perceived partner commitment: overall model, F(4, 77) ⫽ 6.60, p ⬍ .001 (individual estimate  ⫽ .30, p ⫽ .021); and by fluctuation in perceived partner commitment: overall model, F(4, 77) ⫽ 8.06, p ⬍ .001 ( ⫽ ⫺.37, p ⫽ .002); but initial level in perceived partner commitment only approached significance in prediction of breakup status: overall model, F(4, 77) ⫽ 6.10, p ⬍ .001 ( ⫽ .24, p ⫽ .051). In three analyses of Study 2 data, controlling for the three own commitment variables, breakup status was predicted by the linear trend in perceived partner commitment: overall model, F(4, 248) ⫽ 19.57, p ⬍ .001 ( ⫽ .27, p ⬍ .001); and by fluctuation in perceived partner commitment: overall model, F(4, 248) ⫽ 17.61, p ⬍ .001 ( ⫽ ⫺.21, p ⫽ .007), but not initial level. Thus, when controlling for own commitment, breakup status is reliably predicted from the linear trend in perceived partner commitment and fluctuation, but not from initial level. We conducted several exploratory analyses to further examine the link between perceived partner commitment over time and own commitment over time. First, we explored whether own commitment precedes perceptions of partner commitment or vice versa. In Study 1, the correlation of initial level of own commitment with the subsequent linear trend in perceived partner commitment, r(82) ⫽ .59, p ⬍ .001, was higher than the correlation of initial level of perceived partner commitment with the subsequent trend in own commitment, r(82) ⫽ .38, p ⬍ .001. In Study 2, these two correlations were roughly equal: initial own commitment with trend in perceived partner commitment, r(253) ⫽ .16, p ⬍ .001; initial perceived partner commitment with trend in own commit- 1059 ment, r(253) ⫽ .17, p ⬍ .001. The Study 2 subsample of individuals in newly formed relationships revealed a pattern similar to Study 1: initial own commitment with trend in perceived partner commitment, r(76) ⫽ .39, p ⬍ .001; initial perceived partner commitment with trend in own commitment, r(76) ⫽ .28, p ⫽ .015.7 With the current correlational design, we attempted to rule out rather than confirm a possible causal path; neither causal path could be ruled out (all correlations were significant) rendering both causal paths possible, but among individuals in newly formed relationships, there was more support suggesting that own commitment precedes perceptions of the partner’s commitment. An additional analysis aimed to explore whether one’s own commitment level at the outset of the study (initial commitment) constrains the extent of doubt one experiences—that is, whether one’s initial commitment level moderated the link between fluctuation in perceived partner commitment and breakup. It is possible that people who are not very committed at the outset do not pay much attention to their partner’s level of commitment and thus are not affected by the extent that they see their partner as stably committed. On the other hand, people who are initially highly committed may seek similar evidence of commitment from their partner and as such are sensitive to perceived vacillations in their partner’s commitment; for them, vacillating perceptions may predict later relationship outcomes more than for those who are not initially committed. We regressed breakup status onto initial level of own commitment, fluctuation in perceived partner commitment, and the interaction between these two variables. The interaction was not significant in either study: Study 1, t(82) ⫽ 0.23, ns; Study 2, t(253) ⫽ ⫺0.17, ns. One’s own initial level of commitment did not constrain the extent to which fluctuations in perceptions of the partner’s commitment predicted later breakup status. Testing Hypothesis 5 Was there evidence that experiencing fluctuations in one’s perceptions of partner commitment has its origins in a dispositional tendency to be anxiously attached to partner (measured in Study 1)? Consistent with Hypothesis 5, initial level of anxious attachment and subsequent fluctuation in perceived commitment were positively correlated in Study 1, r(82) ⫽ .39, p ⬍ .001; initial level of avoidant attachment and subsequent fluctuation in perceived commitment were also positively correlated, r(82) ⫽ .29, p ⬍ .001. We regressed fluctuations in perceived partner commitment onto initial anxious attachment style and initial avoidant attachment style simultaneously; initial anxious attachment exhibited a 7 A statistical issue in attempting to interpret these correlations concerns the correlation between initial level and linear trend within each variable. The variable (perceived partner commitment vs. own commitment) with a lower link between initial level and subsequent trend will appear to be a cause rather than an outcome (Rogosa, 1981). There was little concern in Study 1, as the correlation between initial level and the linear trend was higher for own commitment (.82) than for perceived partner commitment (.54), and yet the cross-correlations (initial level of one variable with linear trend of the other variable) suggested own commitment as a cause; the same pattern occurred in the Study 2 subsample. In the full Study 2 sample, the correlation between initial level and linear trend in own commitment (.16) was comparable with the correlation between initial level and linear trend in perceived partner commitment (.20). 1060 ARRIAGA, REED, GOODFRIEND, AND AGNEW significant unique association with subsequent fluctuation in perceived partner commitment ( ⫽ .33, p ⫽ .002), whereas the association of initial avoidant attachment style only approached significance ( ⫽ .19, p ⫽ .070). We also conducted exploratory analyses with all of the attachment change estimates. None of the other attachment variables were correlated with fluctuation in perceived commitment: anxious attachment trend, r(82) ⫽ ⫺.14, p ⫽ .206; anxious attachment fluctuation, r(82) ⫽ ⫺.11, p ⫽ .343; avoidant attachment trend, r(82) ⫽ .11, p ⫽ .316; avoidant attachment fluctuation, r(82) ⫽ .00, p ⫽ .999. Also, none of the attachment variables were correlated with later breakup status. Together these findings suggest that anxiously attached individuals may be predisposed to greater volatility in their perceptions of partner commitment, but this predisposition does not account for the association between fluctuation in perceptions of partner commitment and later breakup. Do the Findings Reflect a Measurement Artifact? A general concern with inferring meaning from temporal profiles generated from self-report responses is that the profiles are influenced by the response scales. A specific concern is that when individuals are asked how committed they perceive their partner to be, those who endorse the highest scale value time after time would have both high and steady (unchanging) levels of perceived partner commitment. This would create a ceiling effect in which initial levels would be high, the slope would be zero or flat (neither increasing nor decreasing), and there would be no fluctuation. By virtue of their indicating the highest possible level of perceived partner commitment, it may be level of perceived partner commitment—not stability per se—that is driving the significant association with breakup status. On the other hand, for those who report steady levels, but levels that are lower than the absolute highest level, there would not be a scale ceiling forcing steady levels. We examined whether support for each hypothesis was robust when controlling for a possible ceiling effect by eliminating any individuals who endorsed the highest possible level of perceived partner commitment at all times. This reduced the sample sizes to 60 participants in Study 1 and 168 participants in Study 2. Despite the reduction in statistical power, the pattern of significant findings for each hypothesis test remained the same; there were minor changes in the specific estimate values (e.g., initial levels of perceived partner commitment, own satisfaction, and own commitment were slightly lower for this subsample). The results of two ancillary analyses changed slightly: The simple correlation between fluctuation in own commitment and breakup status became nonsignificant in Study 1, r(60) ⫽ ⫺.17, ns, and the unique effect of fluctuation in own satisfaction in predicting breakup, when we controlled for satisfaction initial level and linear trend, became nonsignificant in Study 2 ( ⫽ ⫺.15, p ⫽ .104). Descriptively, when categorizing individuals in newly formed relationships (see bottom half of Tables 6 and 7) into each of the four temporal profiles, the percentages of ended versus persisted relationships were similar or slightly more compelling. For example, in comparing the full Study 1 sample with the Study 1 subsample with the ceiling removed, the pattern for Profile 1 remained the same—those whose perceptions of their partner’s commitment steadily increased over time were overwhelmingly likely to be in persisting relationships. However, the pattern for Profile 2 changed; in the full Study 1 sample, the majority of individuals whose perceptions fluctuated as they increased were likely to remain in their relationship, but in the subsample with the ceiling removed, those fitting this profile were equally likely to be in relationships that ended (50%) versus persisted (50%) despite perceiving an increasingly committed partner. Other Study 1 comparisons or comparisons for the Study 2 subsample revealed that removing participants at the ceiling had little effect on the results. Discussion Summary of Main Findings and Conclusions The main findings suggest new avenues for understanding how certainty versus doubt unfolds over time and how each relates to later outcomes. Individuals whose perceptions of their partner’s commitment fluctuated over time were more likely to be in relationships that ended than individuals whose perceptions were relatively steady. The association of fluctuation in perceived partner commitment with relationship dissolution remained robust when controlling for fluctuation in one’s own level of commitment, fluctuation in one’s own level of satisfaction, and perceptions of the partner’s positive behavior (consistent with Hypotheses 2, 3, and 4). The link between fluctuation in perceived partner commitment and relationship dissolution also remained robust when controlling for initial perceptions of the partner’s commitment among all participants and when controlling for whether these perceptions increased or decreased over time among individuals in relatively newly formed relationships (consistent with Hypothesis 1). Among individuals in relationships of longer duration (i.e., longer than 6 months), greater fluctuation in perception of partner commitment was associated with greater odds of dissolution if those perceptions increased over time but not if they decreased over time (qualified support for Hypothesis 1). These findings suggest different conclusions, depending on how far along a relationship is. Individuals in relatively established relationships whose perceptions of their partner’s commitment decrease over time are not affected by the extent of volatility in their perceptions—things are not good (as inferred from decreasing levels of perceived partner commitment), and perceived ups and downs bear little on having greater odds of breakup. However, those whose perceptions of their partner’s commitment increase over time mirror individuals in relatively novel relationships; they remain hopeful and thus sensitive to ups and downs in their perceptions of the partner. The latter findings suggest some counterintuitive (but hypothesis-consistent) conclusions: Even among individuals who perceived their partner to be increasingly committed, odds of having a relationship that ended increased simply by virtue of having perceptions that fluctuated over time. Also, even among individuals who perceived their partner to be decreasingly committed, odds of having a relationship that lasted increased simply by virtue of having perceptions that were steady over time. Another difference between individuals in relatively newly formed relationships versus those in more established relationships concerned the relative predictive value of perceptions of partner commitment versus own level of commitment or own level of satisfaction. In the sample of individuals in relatively established relationships, all of these variables predicted later relationship FLUCTUATIONS IN PERCEIVED PARTNER COMMITMENT persistence versus dissolution. On the other hand, in the two samples of individuals in more recently initiated relationships, perceived partner commitment variables accounted for more variance in later relationship status than did own commitment or own satisfaction. This provides suggestive evidence (albeit not conclusive evidence given the correlational design) that among relatively novel relationships, perceptions of where the partner stands may figure more prominently in the ultimate course of the relationship than a sense of one’s own satisfaction or commitment, whereas in more established relationships concerns about the partner and about oneself are similarly implicated. The current studies also replicated past research focusing on changes in one’s level of satisfaction or one’s level of commitment. Consistent with Rusbult (1983), participants whose own level of commitment increased over time were more likely to be in lasting relationships, and those whose commitment decreased were more likely to be in relationships that ended. However, when controlling for level and fluctuation in commitment, this association remained significant only among individuals in established relationships. Consistent with Arriaga (2001), greater fluctuation in satisfaction was associated with greater odds of relationship dissolution, and this association remained robust in two of three samples (the two Study 2 samples) when controlling for initial level of satisfaction and the linear trend over time. We have suggested that the extent of fluctuation in perceptions of partner commitment reflects varying levels of certainty or doubt over time about where the partner stands with respect to the relationship. Not all individuals may experience the same degree of certainty or doubt over time. Murray et al. (2005) have suggested that each individual may have unique ways of navigating situations of interdependence with a partner, and they have identified meaningful patterns in individual responses. In a related vein, we have suggested that each individual exhibits an idiosyncratic temporal pattern in his or her view of a partner’s commitment, and we identified four patterns in individual responses— or profiles (illustrated in Figure 1)—that reflect distinct and theoretically meaningful experiences of certainty versus doubt. Origins of Fluctuations in Perceived Partner Commitment What drives some people to perceive their partner as being stably committed and others to perceive wavering levels of partner commitment? There are several possible answers to this question. One answer that we did not examine in the current research is that their partners really are stably versus unstably committed. To an extent, people are accurate in their general perceptions of a partner, but there is mounting evidence that accurate information is processed in a biased way—for example, individuals may perceive objective information about partner faults but then integrate it into a broader impression that downplays the importance of these faults and sustains a positive perception (cf. Murray, 1999). Because we did not have partner data, we could not examine this issue directly. We sought indirect evidence, however, of whether individuals were relatively accurate in their perceptions of partner commitment. We examined reports of individuals whose relationships ended and specifically compared own level of commitment and perceived level of partner commitment among those who initiated the breakup (i.e., leavers, n ⫽ 19 in Study 1 and n ⫽ 29 in Study 2) versus those whose partners initiated the breakup (i.e., aban- 1061 doned, n ⫽ 9 in Study 1 and n ⫽ 31 in Study 2).8 In general, leavers made more distinctions between their own level of commitment and their partner’s level in the ways one might expect; they reported lower initial levels of their own commitment, greater declines in their own commitment, and more fluctuation over time in their own commitment, relative to what they reported for the partner (significantly so for all three variables in Study 2 but only one variable in Study 1). On the other hand, abandoned individuals did not make these distinctions; despite ending the relationship, the partner was not perceived to be less committed initially, less over time, and less stably. This provides very tentative and indirect evidence that individuals are cognizant of where their partner stands relative to them but there is also room for bias, as abandoned individuals were more reluctant or unable to recognize differences— differences that did not work in their favor—than were leavers. We also obtained slightly stronger evidence that one’s own initial level of commitment predicted subsequent changes in perceptions of the partner’s commitment rather than that initial perceptions of partner commitment predicted subsequent changes in one’s own commitment. This, too, indirectly suggests that individuals shape their perceptions of the partner’s commitment in light of their own commitment (a biased process), more than they use what they believe to be accurate perceptions of the partner’s commitment in adjusting their own commitment. It is also possible that individuals vary in their propensity to perceive a partner as stably or not stably committed—that is, the fluctuation pattern may have some origins in individual differences. Individuals who were predisposed to be anxiously attached to the partner were more likely to have perceptions of the partner’s commitment that fluctuated over time (as stated in Hypothesis 5). This is consistent with research by Campbell et al. (2005), who showed that anxiously attached individuals (more than securely attached or avoidant individuals) were highly reactive to daily interactions with the partner, whereby their impressions of the partner were closely tied to daily levels of conflict. Similarly, fluctuation in perceived partner commitment may reflect a predisposition to be highly reactive to partner interactions, stemming from an anxious attachment style. However, the correlation between fluctuation and anxious attachment was moderate rather than high, suggesting that fluctuation in perceived partner commitment stems from more than only an anxious attachment style. It is unlikely that perceiving a partner as being stably or unstably committed reflects individual differences in response sets. If the 8 The main analyses did not differentiate between leavers and abandoned for several reasons. First, the pattern of results was the same with or without the distinction; that is, when compared against people whose relationships persisted, the differences between leavers and abandoned were relatively small and not significant. We collapsed these two groups to keep the results relatively straightforward. Second, the number of individuals in the abandoned group was too small from which to draw firm conclusions. Third, theoretically, there are competing hypotheses of how being more committed than the partner might affect one’s breakup status; it is possible that a less committed partner would be more likely to break up, but it is also possible that the more committed person would preemptively break up so as to avoid being hurt by the partner. Much remains to be learned about the implications of disparities between own and partner commitment—issues that were beyond the current goals. 1062 ARRIAGA, REED, GOODFRIEND, AND AGNEW extent of fluctuation in perceived partner commitment simply reflected an individual tendency to respond to survey items in unstable ways (cf. Gable & Nezlek, 1998), we would have obtained evidence of an unstable response set across several variables—that is, all fluctuation variables would have been highly correlated. On the contrary, fluctuation in perceived partner commitment was not correlated with all fluctuation variables (e.g., fluctuation in attachment variables), but it was correlated with fluctuation in variables in which the pattern of fluctuation could be said to reflect doubt (e.g., fluctuation in own satisfaction). Thus, the theoretically coherent pattern of correlations was unlikely to be caused by an artifact of using self-report response scales. In a similar vein, it is unlikely that an individual’s pattern of fluctuation was caused by an individual’s deliberate effort to respond a particular way, a self-report bias that can undermine the validity of self-report measures. The change estimates examined in the current research were not themselves self-report variables; they were derived from prospectively observed patterns in each individual’s self-reported data. As such, they are distinct from retrospective recollections of change over time, which are susceptible to self-report bias (McFarland & Ross, 1987). If prospective reports of change over time (as obtained in this research) are similarly susceptible to self-report bias, they should reveal a data pattern similar to retrospective reports of change over time; these two methods when compared directly have yielded distinct data patterns, suggesting that prospective methods are less susceptible to self-report biases (Karney & Frye, 2002). Finally, we explored whether a stable pattern in perceived partner commitment might have its origins in another response bias, namely using the top or ceiling of the scale. Individuals who endorsed the highest possible level of perceived partner commitment time after time would have high and steady levels of perceived partner commitment, making it impossible to determine whether it is level or stability of perceived commitment that is driving the association with later breakup status. When we eliminated individuals who time after time consistently endorsed the highest possible rating of perceived partner commitment, the findings remained the same. Thus, a ceiling effect in ratings of perceived partner commitment did not account for the association between fluctuation in perceived partner commitment and breakup. Broader Implications Are these findings compelling, or obvious and trivial? From a common sense standpoint, it could seem trivial to report that people who vacillate in their perception of their partner’s commitment are more likely to be in relationships that end than people who believe they know where their partner stands and thus vacillate less. The group whose perceptions vacillate experience more doubt, and all things being equal, it seems self-evident that doubt could hurt a relationship. This finding is less trivial when one considers what might have been the case but was not the case. First, the key variables predicting breakup among novel relationships were not the same as those among more established relationships. Yet, it is important to advance precise knowledge on the causal factors that operate at different relationship stages. When faced with a partner who seems to be decreasingly committed over time (a decreasing trend of perceived commitment), individuals may react differently depending on the stage of their relationship. As was shown, unstable perceptions of a decreasingly committed partner (i.e., high fluctuation) disrupted relatively novel relationships (negative link between fluctuation in perceptions and persistence), suggesting it is better to end the relationship than persist in a state of uncertainty. Fluctuating perceptions were no different than stable perceptions among individuals in more established dating relationships (no link between fluctuation and persistence)—a decreasing trend of perceived partner commitment was associated with dissolution regardless of how stable the perceptions were. It is conceivable that among marital relationships or other relationships that are difficult to end, fluctuating perceptions of a decreasingly committed partner might be associated with persistence (a positive link between fluctuation and persistence); if one feels the relationship must continue no matter what, but the partner is decreasingly committed, perceiving an occasional commitment increase in an otherwise uncommitted partner may lead to hope that the partner’s commitment will improve. This remains to be examined in future research. Second, and more importantly, common sense would suggest that what should really matter in predicting a breakup is whether one perceives the partner to be committed or not—if a partner is not likely to be there through thick and thin, one would likely leave the relationship rather than remain vulnerable to being left by the partner. The common sense view would stop there. However, this view is overly simplistic given that the amount of fluctuation in perceptions of a partner’s commitment makes a difference as much or more than generally seeing a partner as committed or not committed (Surra et al., 1999). It is not self-evident that people who are increasingly convinced that their partner wants to leave (declining partner commitment) would be likely to stay in the relationship so long as their partner’s lack of commitment is predictable (i.e., steadily declining). Even less obvious is the finding that after taking into account changes in perceived partner commitment (the trend and extent of fluctuation), one’s initial level of commitment simply did not predict the fate of the relationship. Changes one sees in the partner’s level of commitment are more important than simply seeing the partner as being committed or not so committed. Third, common sense might also suggest that perceptions of the partner should matter only to people who are highly committed (high initial level of own commitment). Why should those who are relatively uncommitted care about the partner’s commitment? We did not find this to be the case, as one’s own initial level of commitment did not affect (i.e., moderate) the link between steady perceptions of partner commitment and persistence. The theoretical message of this research resonates with previous research on perceived partner regard (e.g., Murray et al., 2003): When a person has doubts about a partner’s feelings about the relationship— even when one generally believes that the partner is generally committed but doubts the consistency of the partner’s commitment—it becomes difficult to assume that all will turn out well, particularly when the relationship is not yet well established. More generally, perceptions of where the partner stands predict the course of a relationship, particularly in relatively new relationships (6 months or less). We are not suggesting that a partner’s actual level of commitment is irrelevant; instead we are underscoring the importance of perceptions and attributions in directing the course of relationships (Bradbury & Fincham, 1990; Kelley, 1979). Ultimately, the current research advances research on certainty and FLUCTUATIONS IN PERCEIVED PARTNER COMMITMENT doubt in relationships by demonstrating the importance of invariances over time in perceptions of partner motives (see Holmes, 2004). There are also several methodological implications of this research. One is that multiple measurement occasions afford an analysis of specific changes over time better than fewer measurement occasions. Designs that attempt to establish a longitudinal pattern from only two measurement occasions are relegated to averaging (or correlating) reports over the two time periods (Arriaga, 2001; Karney & Bradbury, 1995). Yet as suggested in Figure 1, individuals can exhibit the same initial level of perceived partner commitment, the same mean level over time, and even similar linear trend over time, and yet have vastly different experiences of certainty versus doubt on the basis of the extent of fluctuation in their ratings (e.g., Profile 3 vs. Profile 4). As such, examining fluctuations in meaningful variables not only increases the pragmatic aim of predicting later relationship outcomes but also affords more precision in deriving theoretically meaningful data patterns. A second methodological implication in studies with multiple measurement occasions is that checks must be in place to ensure the results are not attributed to participant response sets. When participants answer different questions in the same way within a given measurement occasion, this will artificially inflate the correlations among variables. As Gable and Nezlek (1998) suggested, it is important to demonstrate divergent validity (as was the case in this research) by showing that an outcome is associated with fluctuation in theoretically relevant variables only and not all variables. Similarly, when participants answer certain questions in the same way across several measurement occasions (e.g., endorsing the highest possible rating every time), this too creates a response set that confounds level and variation over time in a variable. One solution is to eliminate these participants from the analysis, but this might eliminate a true data pattern. In the current research, we repeated the analyses excluding participants at the ceiling of the scale, which eliminated those who truly believed that their partner was consistently and whole-heartedly committed. Some studies have attempted to get around this problem by changing the scale endpoints (e.g., “My partner is more committed to this relationship than anyone in the world will ever be”), but even this strategy has not been successful in eliminating ceiling or floor effects (see Arriaga, 2001, for similarly extreme measures). The best approach might be to use scales with extreme endpoints and perform analyses on a full sample versus a sample excluding participants with possible response sets, to test whether the findings possibly reflect a response artifact. A third methodological issue concerns the lag between measurement occasions. This is less of a concern when examining the linear slope in that it summarizes changes over time, but more of a concern when attempting to capture specific patterns of change (e.g., ups and downs, curvilinear), in which long time lags may miss the relevant changes. In Study 2 (4-week time lag), the effect sizes were larger in magnitude for the linear trend in perceived partner commitment than for fluctuation in perceived partner commitment; in contrast, in Study 1 (1-week time lag) the effect sizes were similar or slightly larger for fluctuation.9 This suggests that 4-week time lags may gloss over dynamic changes in perceptions of the partner whereas 1-week time lags may be more appropriate for this particular type of variable. In the absence of clear guide- 1063 lines, the appropriate time lag to capture specific changes is likely to depend on the construct of interest; constructs that are more susceptible to change may require shorter time lags, and those that are less susceptible may be captured adequately with longer time lags. Caveats The research reported here has some limitations. The most salient limitation is the focus on individual data patterns. We demonstrated that one can predict later relationship outcomes from examining an individual’s ratings over time. Ultimately, however, developing sound theories of relationship processes will require understanding partner influences that occur in addition to, and independently of, individual processes (Kenny, 2006). Another limitation was that both samples were derived from college students in the Midwestern region of the United States, and one cannot assume these findings generalize to samples of other college students, other young adults, relatively new dating relationships of older adults with longer relationship histories (e.g., those who are divorced), or samples of people from different cultures. Moreover, these are correlational data. Although we have attempted to control for artifacts and discriminate variables that do versus do not account for the link between perceived partner commitment and later breakup status, it is still possible that other variables not measured in this research are causing the observed changes in both perceived partner commitment and later breakup status. Finally, we established that different temporal profiles are predictive of later relationship status but did not provide conclusive evidence on the origins of distinct profiles. We encourage future research that attempts to overcome these limitations. 9 We examined the effect sizes in the subsample of Study 2 that was comparable with Study 1 (participants in relationships of similar duration, similar sample size, differing only in the time lag). When we regressed breakup onto initial level, linear trend, and fluctuation in perceived partner commitment simultaneously, the effect size for linear trend ( ⫽ .41) was larger than the effect size for fluctuation ( ⫽ ⫺.33); initial level was not significant. In analyses controlling for the three satisfaction variables, the effect of adding the linear trend in perceived partner commitment ( ⫽ .44) exceeded the effect of adding fluctuation ( ⫽ ⫺.22); adding initial level was not significant. The same occurred when controlling for the three own commitment variables (linear trend  ⫽ .43, fluctuation  ⫽ ⫺.25, initial level was not significant). References Agnew, C. R., Loving, T. J., & Drigotas, S. M. (2001). Substituting the forest for the trees: Social networks and the prediction of romantic relationship state and fate. Journal of Personality and Social Psychology, 81, 1042–1057. Agnew, C. R., Van Lange, P. A. M., Rusbult, C. E., & Langston, C. A. (1998). 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Appendix Using SAS to Analyze Within-Person Variation in a Single Variable SAS provides a way of analyzing (Level 2) group differences in the magnitude of within-person variation (rij) in a Level 1 variable while controlling for the intercept and slope. We wanted to assess whether the two breakup groups (ended vs. persisted) differed in the amount of withinperson fluctuation over time. This can be achieved by comparing two models, one in which the two breakup groups are constrained to have the same average within-person variation versus one in which the average within-person variation can vary between the two breakup groups (Niall Bolger, personal communication, June 4, 2004). As an example, one would examine an initial model in which the within-person variation in perceived partner commitment is constrained to be equal for individuals in ended and persisted relationships by using the following SAS code, where id is a subject identifier, time is the time period, ppc is perceived partner commitment measured at each time, and breakup is a two-level variable for the ended versus persisted groups: proc mixed method ⫽ ml; class id breakup; model ppc ⫽ time breakup time*breakup; random intercept time/subject ⫽ id type ⫽ un grp ⫽ breakup; run; The following code would test a second model in which the magnitude of within-person variation for one breakup group (ended) could vary from that of the other breakup group (persisted): proc mixed method ⫽ ml; class id breakup; model ppc ⫽ time breakup time*breakup; random intercept time/subject ⫽ id type ⫽ un grp ⫽ breakup; repeated/subject ⫽ id grp ⫽ breakup; run; The repeated statement elicits an analysis of within-person variance for each participant (subject ⫽ id) and compares the two breakup groups (grp ⫽ breakup) in the extent of within-person variance. Each model would yield a chi-square value; the two chi-square values are compared with a chi-square difference test. A significant reduction in the chi-square value would indicate that the two groups differed in the amount of fluctuation (i.e., within-person variation). Also, in both models, the grp ⫽ breakup command in the random statement allows Level 2 residuals of the random effects (00 and 11 in the Tau or random effects covariance matrix) to vary by breakup group; this translates into a more conservative test of group differences in within-person variation, as tested in the second model. As stated in the text, the limitation of this model comparison approach is that one can compare within-person variation in only one variable, without simultaneously controlling for or analyzing within-person variation in other Level 1 variables. Received November 22, 2005 Revision received May 11, 2006 Accepted May 14, 2006 䡲
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