Proceedings of the 44th Hawaii International Conference on System Sciences - 2011 Online Social Network Dependency: Theoretical Development and Testing of Competing Models Dimple R. Thadani Department of Information Systems City University of Hong Kong [email protected] Abstract The proliferation of new social media technologies has changed the behavioral patterns of online users. This study aims at investigating the structure and dimensionality of the Online Social Network Dependency (OSN Dependency). We tested the competing models built upon the cognitivebehavioral model and the biopsychogical framework of addiction. Our findings suggested that OSN Dependency can be explained by a higher-order factor model with seven first-order factors (i.e. mood alternation, social benefit, negative outcomes, compulsivity, excessive time, withdrawal, and interpersonal control) and two correlated secondorder factors (i.e. social components and intrapersonal components). The model provides a good-fit to the data, reflecting logical consistency. Implications of the current investigation for practice and research are provided. 1. Introduction With the advancement of Internet technologies, there has been a rapid emergence of online interactions between groups of people who share similar interests, though they are congregated in an absolute space [1]. A number of websites (e.g. Facebook, Twitter, Myspace) have implemented dynamic social contents in which online communities can be built and sustained easily through the facilitation of social connections and communications between users. Evidence of this trend can be seen by industrial reports from agencies that monitor the activities of online users. In 2009, it was reported that an average social-network user around the world spent more than five and a half hours per month on social networking sites, which was triple the time spent on other online activities, such as web browsing. From April 2008 to April 2009, the total minutes spent on Facebook in U.S., in particular, has increased from 1.7 billion minutes to 13.9 billion minutes (700% annual growth)[2]. Christy M.K. Cheung Department of Finance & Decision Sciences Hong Kong Baptist University [email protected] Alongside these figures, research studies show that sociability of the Internet is responsible for the excessive amounts of time individuals spend having interactions via forums, online games, and blogs [3.4]. In other words, the recent emergence of these new social media technologies has changed the concept of the Internet as well as its usage. As a result, findings from prior studies on internet dependencies, excessive use or addictions may not be valid in this new context. Thus, there is a need to investigate the concept of the technological dependency under this new context. The purpose of this study is thus to investigate the dimensionality and the multi-faceted structure of the Online Social Network (OSN) Dependency through the examination of several competing models. The results of this study are anticipated to increase our understanding on the OSN Dependency, thereby providing a solid foundation for the development of a validated and robust instrument for measuring Online Social Network Dependency. 2. Theoretical Background Internet dependency or addiction has been extensively studied from diverse disciplines including the discipline of psychology, Information Systems, and Education. Over the brief academic history of Internet dependency, one of the most challenging tasks has been to arrive at a universally accepted definition of the concept [4]. There are as many as seven different terms associated with the concept of Internet dependency, including “Internet Addiction”, “Excessive Internet Use”, “Compulsive Internet Use”, “Problematic Internet Use”, “Pathological Internet Use”, “Cyberspace Addiction”, “Online Addiction” [4, 5]. We will use the term “dependency”, “addiction” and “problematic use” interchangeably in this paper. [6] is the first person who coined a term to describe the concept of addiction. Internet addiction is thus considered to be a kind of technological addiction, and one in a subset of behavioral addiction [7]. 1530-1605/11 $26.00 © 2011 IEEE 1 Proceedings of the 44th Hawaii International Conference on System Sciences - 2011 In this study, Online Social Network Dependency (OSN Dependency) is defined as an impulse control disorder in which an individual experiences rising tension or arousal before engaging in online social networking sites and a sense of relief or pleasure after completion of the behavior. The OSN Dependency is considered to be a form of internet addiction. [8] developed a 29-item instrument that measures the seven components of Internet problematic use (GPIUS – Generalized problematic Internet use scale), namely, mood alternation, social benefit, negative outcomes, compulsivity, excessive time, withdrawal, and interpersonal control. This instrument was derived from [9] cognitive-behavioral theory of Internet addiction. GPIUS was one of the best known and frequently employed measurements for Internet addiction [10]. A confirmatory factor analysis of the GPIUS factor structure was performed by [11]. They also assessed the psychometric properties of the factors and items. Their results provided strong support for the instrument. One of the differences between the traditional internet usage and the new form of internet usage is that the latter involves more social interactions and engagements. Hence the social components are important in determining the degree of technological tendency. In this regard, [12] proposed a biopsychosocial component model of technological addiction, which argues that addiction is in fact a biopsychosocial process. In other words, online social network dependency could be analyzed by identifying and highlighting the social dimension. Table 1: Dimensions of online social network dependency Dimension Mood Alternation Definitions Facilitation of the change of mood /arousal or discomfort with the use of the Social networking sites Social Perceived social benefits that could Benefit obtain from the social networking sites Negative Negative outcome associated with the Outcome use of social networking sites An inability to control, reduce, or stop Compulsivity online behavior, along with feelings of guilt about time spent on social networking sites The degree to which an individual feels Excessive that he or she spends an excessive Time amount of time on social networking sites or even loses track of time. Withdrawal Difficulties with staying away from the Social Networking Sites. Interpersonal The ways in which individuals perceive Control increased social control when interacting with others on the social networking sites 3. Factor Structure for Online Social Network Dependency [8] developed a 29-item instrument based on the cognitive-behavioral theory of addiction [9]. Components of cognition, behaviors, affection in social and intrapersonal levels were presented in the form of seven dimensions (See Table 1). 4. Competing Model for Online Social Network (OSN) Dependency In this study, five alternative factor structures of OSN Dependency with 26 observable items were tested with reference to the approach used by [13]. Model 1 to Model 3 represented the non-hierarchical structure with only first-order factors, whereas Model 4 and Model 5 represented the hierarchical structure with more than one level of abstraction. Model 1 was a first-order factor model. One factor (OSN Dependency) is hypothesized to be accounted for all common variances among the 26 observable variables. Model 2 was also a first-order factor model. It hypothesized seven orthogonal/ uncorrelated first-order factors (i.e. mood alternation, social benefit, negative outcomes, compulsivity, excessive time, withdrawal, and interpersonal control). [8] performed an exploratory factor analysis which resulted in seven factors. Thus, Model 2 is considered to be a plausible alternative model of underlying data structure. Model 3 was a first-order factor model with seven factors correlated with each other to represent different dimensions of OSN Dependency. Model 4 was a second-order factor model that hypothesized seven first-order factors and two orthogonal/uncorrelated second-order factors (i.e. social components and intrapersonal components). Model 5 assumes that the two second-order factors in Model 4 were correlated. 5. Research Method The sections below describe the details of data collection procedure, measurement, data analytical approach, and model competing criteria. 5.1. Data Collection Facebook (www.facebook.com), an online social networking site, was used in this study. We believe that Facebook is appropriate for the current study due to the surge of its popularity globally. Facebook has 2 Proceedings of the 44th Hawaii International Conference on System Sciences - 2011 surpassed MySpace and become the most popular social networking site. (http://blog.compete.com/2009/02/09/facebook-myspacetwitter-social-network/ . A web-based field survey was used to test and validate the conceptual model. A convenience sample of Facebook users was created by inviting volunteers to participate in our study. An invitation message with the URL to the online questionnaire was posted on a number of platforms including Facebook, MySpace, MSN, and weblogs. A screening question was used to ensure that the respondents were current active users of Facebook. A total of 406 usable questionnaires were collected. Among the respondents, 50.2% were female and 49.8% were male. Table 2: Criteria and recommendation of fit indices Fit Indices Absolute fit Interpretation Goodness-of-fit index (GFI) Root mean square residual (RMR) Root mean square error of approximation (RMSEA) Incremental fit Values close to 0.9 reflects a good fit Value below 0.05 reflects a good fit Value below 0.1 reflects an acceptable fit Adjusted good of fit index (AGFI) Normed fit index (NFI) Values close to 0.9 reflects a good fit Values close to 0.9 reflects a good fit 5.2. Measurement Table 2 lists the measures used in the study. Basically, we borrowed the measures from [8]’s Generalized Problematic Internet Use Scale but we modified the wordings to fit them to the context of social networking sites instead of the context of the Internet in general. The measurements employed a seven-point Likert scale, from “1= strongly disagree” to “7= strongly agree”. 5.3. Data Analytical Approach The proposed factor structures were examined through the LISREL 8.8 framework. LISREL is one of the most widely used Structural Equation Modeling (SEM) Techniques in the IT/IS literature [14]. If SEM is appropriately applied, it can even surpass the firstgeneration techniques such as factor analysis, discriminant analysis, multiple regression or principle components analysis [15]. Particularly, SEM provides a greater flexibility in estimating relationships among multiple predictors and dependent variables with the function of purification for measurement items of significant variables [14]. It allows modeling with unobservable latent variables, and it estimates the model uncontaminated with measurement errors. As suggested by [12], competing models should be specified based on theory, logic, and prior studies. The LISREL framework offers us a systematic approach to statistically compare the theoretical models using the goodness-of-fit indices. The best model is then selected as representing the factor structure and dimensionality of OSN Dependency in the sample data. Further, the psychometric properties (i.e. validity and reliability) of the selected model are examined. 5.4. Criteria for Comparing Model Data Fit The determination of model fit in structural equation modeling is usually based on several tests and indicators. Chi-square test is very important as it is the only statistical test that identifies a correct model given the sample data. In contrast to traditional significance testing, researchers are also interested in obtaining the non-significant chi-square because it is a good indicator in determining if the predicted model is congruent with the observed data. Another alternative is the ratio of the chi-square to the degrees of freedom (Normed Chi-Square). Researchers have recommended the ratio ranging from 2 to 5 as a reasonable fit for Normed Chi-Square [16, 17]. In IS research, absolute fit indices and incremental fit indices are the two most widely used measures to determine how well the data fits the proposed model [18]. For instance, [13] used absolute fit indices, including the Goodness-of-Fit Index (GFI) and the Root Mean Square Residual (RMSR) or Root Mean Square Error of Approximation (RMSEA), to evaluate individual models. They also used incremental fit indices, including the Normed Fit Index (NFI) and the Adjusted Goodness-of-Fit Index (AGFI), to reflect the improvement in fit of one model over an alternative. Some researchers [17, 19] provided the criteria and interpretation of these measures (See table 2). 6. Results The models are analyzed by confirmatory factor analysis (CFA) using the maximum likelihood estimation. 6.1. Multivariate Normality Multivariate Normality, an important assumption of 3 Proceedings of the 44th Hawaii International Conference on System Sciences - 2011 Table 3: Model fit test results of initial and revised model Indices Chi-square (df) Threshold Smaller the better Initial Model (29 Items) 1358.2 (356) First revised Model (28 items) 1112.57 (329) 3.38 Second revised Third revised Model Model (27 items) (26 items) 928.08 (303) 750.4 (278) Normed chisquare GFI 2 to 5, less than 3 indicates a good fit Around 0.9 or larger 3.83 0.81 0.84 0.85 0.88 RMR RMSEA AGFI NFI AIC Less than 0.05 Less than 0.1 Around 0.9 or larger around 0.9 or larger Smaller the better 0.14 0.108 0.77 0.98 1516.52 0.13 0.077 0.80 0.98 1266.57 0.13 0.071 0.82 0.98 1078.08 0.040 0.065 0.84 0.98 896.4 confirmatory factor analysis, was tested by examining the skewness and kurtosis of each scale. Skewness refers to the measure of the degree of asymmetry of data distribution, whereas kurtosis refers to the measure of whether the data distribution is peaked or flat relative to a normal distribution. The descriptive analysis revealed that skewness for scale items ranged between 0.096 and 0.846 and kurtosis ranged from -0.983 to -0.446 which were within the robustness threshold (+/-1) for normality as suggested by [16]. 6.2. Model Respecification A measurement model of seven first-order factors was identified. However, the hypothesized sevenfactor model (in the context of online social networking sites) turned out to be a poor model. As shown in table 3. most of the important fit indices (i.e. normed chi-square, RMR, RMSEA, AGFI) of the initial model were below the recommended threshold. Therefore, as recommended by [20] there was a need to re-specify the hypothesized model so as to detect the ill-fitting parameters and achieve a clearer factor structure. Taking into consideration the empirical and theoretical rationale of each step by considering the modification index [21] and standardized factor loadings [22], several models were re-specified (See table 3). As suggested by [19], one item was dropped at a time so as to avoid over modification. At the end of the re-specification process, three items were dropped. Table 4 shows the final 26-item model which had acceptable fit indices (22/d.f = 2.70, GFI = 0.88, RMR = 0.040, RMSEA = 0.65, AGFI = 0.84; NFI= 0.98). The AIC (Akaike Information Criterion) value for the final model is the smallest, suggesting that the final model is the most parsimonious model among all models in the re-specification process. 3.06 2.70 6.3. Model Estimation Competing model analyses were then performed. Following [13], five plausible alternative models were specified. The specification of these models included fixing one of the paths from each of the seven primary factors at 1.0 and the factor variance for the higher-order factor at 1.0. Model 1 is a onefactor, 26-item model. The factor variance for the single first-order factor (OSN Dependency) was fixed at 1.0, allowing 26 observable variables to be free. For Model 2, the 26 items were loaded onto seven uncorrelated factors (i.e. mood alternation, social benefit, negative outcomes, compulsivity, excessive time, withdrawal, and interpersonal control) by setting the covariances among the seven first-order factors to be zero. For Model 3, the 26 items were loaded onto seven correlated factors. Model 4 comprised a second-order factor (i.e. social Component and intrapersonal component) onto which the seven first-order factors (i.e. mood alternation, social benefit, negative outcomes, compulsivity, excessive time, withdrawal, and interpersonal control) were loaded by fixing the covariances between social component and intrapersonal component to be zero. For Model 5, the first path for each of the two second-order factors (i.e. social component and intrapersonal component) was fixed to 1.0. For all five models, the number of available data points was equal to 26*(26+1)/2 = 351. For Model 1, there were 52 free parameters that included 26 error variances for the measured variables and 26 factor loadings. This left (351-26) = 299 degrees of freedom for Model 1. There were 52 free parameters for Model 2 which included 26 error variables, a total of (26-7) = 19 factor loadings, and 7 first-order factor variances, which resulted in 299 degrees of freedom. For Model 3, there were 52 free parameters, 26 error variables, 19 factor loadings, 21 4 Proceedings of the 44th Hawaii International Conference on System Sciences - 2011 Table 4: List of measures used in this study Dimensions Mood Alternation Items MA1 I use Facebook to talk with others when I feel isolated MA2 I use Facebook to make myself feel better when I am down MA3 I go on Facebook to make myself feel better when I am anxious Dimensions ET1 Excessive Time SB1 I am treated better on Facebook than in face-to-face relationships Social Benefit Negative Outcome SB2 I feel safer relating to others on Facebook rather than face-to-face SB3 I am more confident socializing on Facebook than offline SB4 I am more comfortable with people on Facebook than people in faceto-face relationships SB5 I am treated better on Facebook than offline NO1 I have gotten into trouble at work or school because of being on Facebook NO2 I have missed class or work because I was on Facebook NO3 I feel worthless offline, but I am someone on Facebook NO4 I have missed social event because of being on Facebook COMP I am unable to reduce time on Facebook Compulsivity Items I have lost track of time when I am on Facebook ET2 I have used Facebook for longer time than I had expected to ET3 I have spent a good deal of time on Facebook ET4 I have gone on Facebook for longer time than I had intended When I am not on Facebook, I WITH1 wonder what is happening on Facebook WITH2 I feel lost if I cannot go on Facebook Withdrawal WITH3 IC1 IC2 Interpersonal Control IC3 It is hard to stop thinking about what is waiting for me on Facebook When I am on Facebook, I socialize with other people without worrying about how I look. When I am on Facebook, I socialize with other people without worrying about the relationship commitment I have control over how others perceive me on Facebook COMP I feel guilty about the amount of time I spend on Facebook COMP I have tried to stop using Facebook for long periods of time COMP I have made unsuccessful attempts to control my use of Facebook 5 Proceedings of the 44th Hawaii International Conference on System Sciences - 2011 covariances among the seven first-order factors, 7 first-order factor variances, which resulted in 278 degrees of freedom. For Model 4, there are 52 free parameters that included 26 error variances for measured variables, 19 first-order factor loadings, 4 second-factor loadings, 7 first-order factor variances. This left 295 degrees of freedom. Finally, there were 52 free parameters for Model 5, including 26 error variances for measured variables, 19 first-order factor loadings, 4 second-order factor loadings, 6 primary factor disturbances, and 2 second-order factor variances, and 1 covariance between second-order factors. This provided 292 degrees of freedom. 14.4 0.18 0.55 0.93 By comparing the goodness-of-fit-indices, we discovered that Model 3 performed the best. However, it should be noted that the goodness-of-fit of the higher order model would never surpass that of the corresponding first-order model because the higher order factor merely explains the covariation among lower order factors in a more parsimonious way [13, 23]. Thus, additional guidelines are important for the model selection. As suggested by Harlow and Newcomb (1990), model selection should be based on four critical criteria – (1) logical consistency, (2) empirical adequacy, (3) the ability to capture most of the essential relationships among the variables, and (4) Simplicity. In that case, based on the above criteria, only two models, namely Model 3 and Model 5, should be retained. Indeed, Model 5 is more theoretically valid and it is the most appropriate model to capture the structure of OSN Dependency. Furthermore, as described in Figure 1 (in appendix), the paths from the second-order factors to the firstorder factors were all significant. Each of the factor loadings were large and highly significant. We believed that a third-order factor model with seven first-order factors (i.e. mood alternation, social benefit, negative outcomes, compulsivity, excessive time, withdrawal, and interpersonal control), two second-order factors (i.e. social component and intrapersonal component) and one third-order factor (OSN Dependency) might offer a better explanation of the underlying structure of the online social network addiction. However, the model could not be identified and estimated as there must be at least 3 second-order factors in order for the third-factor model to be identified [25]. 2.70 0.065 0.88 0.040 0.84 0.98 6.5. Psychometric Properties 4.55 0.084 0.82 0.36 0.79 0.97 3.46 0.078 0.84 0.02 0.81 0.97 6.4. Goodness-of-Fit Table 5 compares the fit indices of five alternative models. Chi-square statistics of all models were statistically significant with p-value<0.0001. Model 1 to 3 represented the first-order factor models. Model 1 and 2 provided a poor fit to the data. Though Model 2 demonstrated a slight improvement over Model 1, neither of them indicated a reasonable fit with the data. Model 3 provided substantial improvement over Model 2 and a good fit to the data with desirable goodness-of-fit indices. The AGFI index increased significantly from 0.47 (Model 2) to 0.84 (Model 3). Table 5: Goodness of fit indices for competing models (n=406) Model Normed Incremental Absolute fit chifit measures square measures (chisquare/ RMSEA GFI RMR AGFI NFI d.f) 1 4348.84 14.5 0.18 0.55 0.080 0.47 0.93 (299) ChiSquare (df) 2 4308.93 (299) 3 750.40 (278) 4 1343.40 (295) 5 1010.80 (292) 4: 0.82; Model 5: 0.84), and a lower value of normed chi-square (Model 4: 3.46; Model 5: 4.55). Model 5 provided a substantial improvement over Model 4 with AGFI index improved from 0.79 (Model 4) to 0.81 (Model 5). 0.55 0.48 Model 4 and Model 5 were the second-order factor models. The two models provide reasonable model-data-fit and their fit indices were very close to the recommended level. Comparing Model 4 and Model 5, Model 5 performed slightly better than Model 4, with a slightly higher value of GFI (Model The psychometric model was then examined. Table 6 presents the statistical significance of the estimated loadings, the corresponding t-values, and R-square values for the 26 observed variables. All items presented significant factor loadings with tvalue larger than 2.00. Researchers suggested that a loading of 0.70 to latent variable is considered to be a high loading [26]. In our study, all items have high factor loading (0.71 or above) with R-square of 0.51 or above, meaning that the items explained at least 51 percent of the variance in the construct. 6 Proceedings of the 44th Hawaii International Conference on System Sciences - 2011 Furthermore, as suggested by [16], the reliability and validity of the measurement scale was assessed through the investigation of Composite reliability (CR) and average variance extracted (AVE). A composite reliability of 0.70 or above and an average variance extracted of more than 0.50 are deemed acceptable. As shown in Table 6, the composite reliability ranged from 0.76 to 0.95 and the average Table 6: Parameter estimates for model 5 Latent Observed Factor Variable Variable Loading t-value MA1 0.71 13.25 Mood Alternation MA2 0.91 17.92 CR= 0.92 MA3 0.95 18.26 AVE= 0.77 SB1 0.84 12.08 Social Benefit CR=0.90 SB2 0.87 22.73 AVE= 0.72 SB3 0.87 22.77 SB4 0.85 21.69 SB5 0.85 21.88 Negative NO1 0.85 11.49 Outcome NO2 0.88 22.62 CR= 0.88 NO3 0.84 21.26 AVE= 0.72 NO4 0.88 22.55 COMP1 0.83 11.33 Compulsivity CR=0.77 COMP2 0.80 18.83 AVE= 0.76 COMP3 0.69 15.34 COMP4 0.87 21.47 ET1 0.86 9.95 Excessive Time ET2 0.87 22.47 CR=0.76 ET3 0.63 13.79 AVE=0.69 ET4 0.81 19.93 Withdrawal WITH1 0.72 12.84 CR=0.95 WITH2 0.87 16.93 AVE=0.74 WITH3 0.92 17.69 Interpersonal IC1 0.84 9.32 Control IC2 0.89 19.98 CR=0.90 IC3 0.72 15.73 AVE=0.76 Rsquare 0.51 0.84 0.90 0.71 0.76 0.76 0.72 0.73 0.71 0.77 0.71 0.77 0.69 0.64 0.48 0.76 0.75 0.76 0.39 0.65 0.52 0.75 0.85 0.71 0.78 0.51 variance extracted ranged from 0.69 to 0.77. Hence, all the measures selected have desirable psychometric properties. 7. Discussion and Conclusion The results suggested that OSN Dependency can be assessed by a large number of highly related factors. The second-order factor model (Model 5) with seven first-order factors (i.e. mood alternation, social benefit, negative outcomes, compulsivity, excessive time, withdrawal, and interpersonal control) and two correlated second-order factors (i.e. social component and intrapersonal component) provides a good-fit to the data, reflecting the logical formal consistency. 7.1. Managerial and Research Implications Understanding the OSN Dependency is particularly important because social networking sites have become an integral part of our daily life. In the current study, our higher-order factor model can assist web designers in understanding to what degree the users are engaged socially in a particular website. In addition, the model can also assist educators in evaluating the extent to which a student is dependent on the online social network. Essentially, the model can help explain (1) what defines OSN Dependency (2) basic components of OSN Dependency (3) which attributes are relatively important to the formation of online social network addiction. This study also has important implications for academics. In response to the call for developing standardized instruments for diagnosing internet dependency [10], the current study performed a confirmatory factor analysis on [8] generalized problematic internet use scale to test the alternative factor structures of online social network addiction. Our results provide a strong support for [8]’s instrument. Finally, this study demonstrates the advantage of using confirmatory factor analysis (CF) for comparing alternative factor structures. CFA facilitates researchers to define alternative models for the testing of competing models and to generate parameter estimates of the models. However, indeterminacy of the hierarchical models is common when sufficient restrictions are not imposed. This work has been restricted to estimating only secondorder hierarchical model. Future research must attempt to find means to estimate higher-order structure. 8. References [1] Wilson, S. M., & Peterson, L. C. (2002). “The anthropology of online communities”, Annual Review of Anthropology, 31(1), pp. 449–467. [2] Top 25 Social Network Re-Rank. The Nielson Company 2009. Retrieved June 15, 2010 http://blog.compete.com/2009/02/09/facebook-myspacetwitter-social-network/ 7 Proceedings of the 44th Hawaii International Conference on System Sciences - 2011 [3] Grohol, J. M. (2005). 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[14] Gefen, Straub, & Boudreau (2000). "Structural Equation Modeling and Regression: Guidelines for Research Practice, Communications of AIS 1(7), pp. 1-78 [15] Chin, W.W. and Newsted, P.R. (1995), ‘‘The importance of specification in causal modeling: the case of end-user computing satisfaction’’, Information Systems Research, 6 (1), pp. 73-81. [16] Hair, J. F., Anderson, R.E., Tatham, R. L., 1992. Multivariate Data Aanalysis: With Readings, 3rd ed., New York, MacMillan Publishing Co. [17] Marsh, H.W., & Hocevar, D. (1985).” Application of confirmatory factor analysis to the study of self-concept: 8 Proceedings of the 44th Hawaii International Conference on System Sciences - 2011 MA1 o.71( 13.25) o.91 (17.92) MA2 Mood Alternation 0.95 (18.26) MA3 SB1 SB2 0.84 (12.08) 0.72( 12.42) o.87( 22.73) 0.857 22.77) SB3 Social Benefits o.85 (21.69) SB4 0.85 (21.88) 0.95( 19.35) SB5 Social Component 0.85 (11.49) NO1 0.88 (22.62) Negative Outcomes NO2 0.84 (21.26) NO3 0.85( 17.12) 0.88 (22.55) 0.63( 11.12) NO4 COM P1 COM P3 COM P3 0.83 (11.33) Compulsivity 0.80 (18.83) 0.69 (15.34) 0.98( 19.30) Intrapersonal Component 0.87 (21.47) COM P4 0.86 (9.95) Excessive Time ET1 0.87 (22.47) ET2 ET3 0.84( 17.02) 0.63 (13.79) 0.81 (79.93) Withdrawal ET4 WIT H1 WIT H2 0.72 (12.84) 0.84( 14.11) 0.87 (16.93) WIT H3 0.92 (17.69) IC1 0.84 (9.32) IC2 0.89 (19.98) Interpersonal Control 0.74( 14.19) 0.72 (15.73) IC3 Figure 1: Factor loading and residence variances in Model 5 9
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