Child Labor Measurement: Whom Should We Ask? Sarah A. Janzen* Abstract: Funding decisions to support vulnerable children are regularly tied to reports of child labor statistics, making accurate measurement of child labor critical. Yet measuring child labor is a complex process with widespread inconsistency across studies. This paper analyzes whether respondent type plays an important role in explaining variation in child labor statistics. Using data from two sites in Tanzania, the analysis shows that, using various definitions of child labor, whom we ask matters considerably when estimating the prevalence of child labor. The results suggest that estimates of child labor prevalence increase by approximately 35-65% when using child self reports rather than proxy reports from household heads. This reporting bias affects 14-31% of the sample, depending on the indicator used. Discrepancies decrease as the child ages and increase if proxy attitudes demonstrate opposition to child labor. Acknowledgements: This research was made possible using the WEKEZA (Wezesha Ustawi, Endeleza, Kiwongo cha Elimu Kuzuia Ajira kea Watoto) baseline survey data collected by Savannas Forever Tanzania for the International Rescue Committee, World Vision, Kiota Women’s Health and Development, Tanga Youth Development Association and the Institute of Development Studies with funding support from the United States Department of Labor and assistance from National Institute for Medical Research-Muhimbili Medical Research Centre. I would like to specifically acknowledge the contributions of Susan James, Jovit Felix, Nai-Nancy Laiser, David Lawson, Andrew Ferdinands, Deborah Levison, Bernard Ngowi, and Nike Start for research assistance and support during the survey implementation process. Mark Anderson, Paul Glewwe, David Lawson, Carly Urban and audiences at the University of Montana and the Economics of Global Poverty Conference provided helpful feedback. All errors are my own. *Sarah Janzen ([email protected]) is Assistant Professor of Economics in the Department of Agricultural Economics and Economics at Montana State University. Recent estimates from the International Labor Organization (ILO) suggest that approximately 168 million children are actively participating in the global economy through activities that are potentially harmful - mentally, physically, socially or morally - and commonly interfere with the child’s education (ILO, 2013). Udry describes child labor as “an insidious evil,” because it frequently (though not always) limits the child’s future opportunities (Udry, 2006). For this reason, an extensive literature has analyzed the determinants and consequences of child labor. As highlighted by (Anker, 2000), policymakers often use child labor statistics to set priorities, allocate resources, monitor progress and evaluate programs. Yet, measuring child labor remains a complex process, leading to widespread inconsistency across studies. In this paper I investigate the role of one critical factor - the survey respondent - in explaining variation in child labor statistics. The findings suggest that whom we ask matters considerably when estimating the prevalence of child labor. In measuring child labor the respondent can be either the child herself, or a proxy respondent who reports on the child’s behavior and time use. The ILO recommends that questions be answered directly by the child, provided the child is at least 10 years old (ILO, 2004). Although these guidelines are widely acknowledged as the “gold standard,” evidence supporting the exclusive use of child reports over proxy reports is weak. The cognitive development of children is likely to affect the quality of the information provided, and it’s not entirely clear that child reports are more accurate than proxy reports. In practice, proxy respondents, typically the household head or other knowledgeable adult, are routinely used - it’s often easier and cheaper to interview an adult than it is to interview a child. With these issues in mind I analyze whether the respondent matters in measuring child labor prevalence. Specifically, I ask the following two questions: (1) Do the answers provided by proxies differ significantly from the answer of the child on whose behalf they are answering? (2) Do child or proxy characteristics explain some of the difference between child and proxy reports of child labor participation? The answers to these questions have important implications regarding the cost of collecting accurate child labor statistics that are compara- 1 ble both geographically and intertemporally. Such statistics are regularly used to set targets and monitor progress, and often have important implications for the allocation of resources. Two recent studies seeking to answer these questions have produced conflicting results. Dillon et al. (2012) use a randomized survey experiment in Tanzania and conclude that respondent selection, whether the child or a proxy respondent, does not matter for determining rates of child labor. On the contrary, Dammert & Galdo (2013) find significant disagreement between child and proxy responses. Despite studying a population most similar to Dillon et al. (2012) - both their study and this one use data from Tanzania - the results reported here provide further evidence in support of the Dammert & Galdo (2013) findings - child and proxy reports of child labor vary significantly. Our results suggest that estimates of child labor increase by approximately 50% when child self reports are used to construct indicators of child labor prevalence, rather than proxy reports. This analysis builds on both of these studies in three important ways. First, like Dammert & Galdo (2013), our data allows us to estimate a “pure” proxy effect, defined as the difference between child and proxy reports for the same child. This should provide a better estimate than Dillon et al. (2012), who cannot compare data on the same person from proxy and self response. Second, in the analysis that follows, differences between reports of child labor participation are not limited to simple definitions of labor market participation. I also consider the ILO’s more complex definition of child labor (described in section 1) which is used for global child labor estimates and targeting. In addition, the analysis considers hours spent performing economic activities and household tasks, and exposure to potentially hazardous conditions. This disaggregation provides the opportunity to analyze whether the variation between child and proxy responses depend on the type of work or its relative risks. Third, I analyze the relationship between child labor reports and proxy attitudes regarding child labor. In this case, it’s expected that the local context will matter. Our study uses data collected in two districts of Tanzania: Kigoma and Tanga. The study by Dillon et al. 2 (2012), which finds no discrepancy between proxy and child, also uses data from Tanzania although different districts are considered. While Dillon et al. (2012) are forced to assume that all Tanzanian households do not have negative perceptions toward child labor, I use rich data regarding the child labor attitudes of adults to control for such perceptions. This provides the opportunity to explicitly explore how attitudes are related to both child-proxy agreement and disagreement. Unlike either study, I provide some evidence that child labor attitudes may lead some proxies to underreport the prevalence of child labor in the household. I also present evidence that reports from young children may suffer from overreporting bias, likely due to cognitive underdevelopment. Combined, these results suggest that both child and proxy reports are susceptible to reporting bias. The rest of this paper is structured as follows: The next section reviews some of the key literature regarding the measurement of child labor statistics. Section 2 describes the available data. Section 3 analyzes major discrepancies - a difference of roughly one to two thirds - between child and proxy-based indicators of child labor prevalence, affecting up to one third of the sample. Section 4 evaluates whether child or proxy characteristics (particularly, child age and proxy attitudes) explain some of the difference between child and proxy reports of child labor participation. Section 5 concludes. 1 Measuring Child Labor A large theoretical (most notably Basu & Van, 1998 and Baland & Robinson, 2000) and empirical literature considers why and how children work, as well as the consequences of that work. Edmonds (2008) and Basu (1999) provide reviews. Given the absence of a universally accepted definition of child labor, these empirical analyses vary widely with regard to how child labor is defined, in addition to how child labor is measured (Edmonds, 2009). The most commonly used definition in applied research considers children involved in market 3 activities to be child laborers. This includes any work outside the household for wages or compensation, or any work on the family farm or business. Edmonds (2008) suggests that nearly half of all empirical studies considers this definition (including Beegle et al. (2006), Fafchamps & Wahba (2006), and de Janvry et al. (2006)). In 1998 the ILO’s Statistical Information and Monitoring Programme on Child Labour (SIMPOC) was established in response to growing demand for accurate and comparable child labor data. The definition of child labor proposed by SIMPOC (ILO, 2004) includes work that is (a) mentally, physically, socially, or morally dangerous and harmful to children, or (b) interferes with their schooling by depriving them of the opportunity to attend school, obliging them to leave school prematurely, or requiring them to attempt to combine school attendance with excessively long hours and heavy work. This represents a rather challenging concept that can be extremely difficult to quantify. For example, what constitutes hazardous or dangerous work for children? How should we define “excessively long hours?” Despite SIMPOC’s efforts at standardizing methodologies for collecting child labor statistics (see ILO, 2004 for more information), much variation still exists in how child labor is measured. The concern is that different measurement techniques will result in different child labor estimates, which are often used in policy decisions. Guarcello et al. (2008) studies the extent to which child labor statistics produced by different survey instruments are comparable. Using 87 different datasets across 35 countries, the study finds that estimates do vary considerably across surveys of different kinds. Differences in observable survey characteristics such as questionnaire type explain some of the variation in child labour estimates across survey instruments, but much remains unexplained. This paper analyzes whether respondent type explains some of the unexplained variation in child labor estimates. SIMPOC recommends that children age 9 and above should answer questions about their own work activities. Borgers et al. (2000) suggest that children in this age range can answer well designed questions with some consistency, however data quality improves with older children as cognitive, communicative and social skills continue to de- 4 velop. Children younger than 9 years may, in some cases, “have problems in comprehending or answering questions,” and in these instances SIMPOC suggests that, “someone else in the family, usually the mother or elder sister, may assist them.” (ILO, 2004). Dammert & Galdo (2013) summarize the issue as follows: On one hand, child-reported information may be more accurate than proxy responses, given that a child knows best how she allocates her time. This point is particularly relevant for children who work outside the family farm or business. At the same time, the cognitive development of children may affect the quality of the information provided, particularly for those aged 9 and younger. Calculations for weekly hours worked, for example, could be an issue for younger children. Similarly, the head of household may be familiar with the children’s activities since many child laborers in developing countries work on the family farm or enterprise. Still, the proxy respondent may tend to underreport the true rate of participation if child labor is viewed as “bad” because of social norms and cultural values. (Dammert & Galdo, 2013) In practice, budgetary constraints often mean estimates are based on household surveys in which a proxy respondent answers questions about a child’s work activities on their behalf. A recent study in Tanzania by Bardasi et al. (2011) finds lower estimates of adult labor statistics when measured by a proxy. However, perhaps surprisingly, results from the same survey experiment differed when child labor statistics were considered (Dillon et al., 2012). For the survey experiment, households from 7 districts across Tanzania were randomly selected into two different types of survey treatments: proxy or child respondent, and long or short survey, for a 2x2 randomized design - long survey with the child respondent, short survey with the proxy respondent, long survey with the proxy respondent, or short survey with the child respondent. The results of the experiment suggest that the respondent selection, whether the child (10-15 years of age) or a proxy respondent (a randomly selected household member who is at least 15 years old), does not matter for determining rates of child labor. There are 5 two critical limitations of the Dillon et al. (2012) study: 1) the study relies on a relatively small sample size (566 children) cut into four different treatment groups. While a randomized experiment is often ideal, this author’s post-hoc power analysis using the statistics reported in their study suggests the study may suffer from an insufficient sample size for detecting an effect, if one in fact exists, with inferential statistics. 2) the study does not have data on the same child across two different respondents (the child and a proxy). For this reason, it is unable to estimate what they call the “pure” proxy effect - that is, the difference between child and proxy reports for the same child. Building on the Dillon et al. (2012) study, Dammert & Galdo (2013) are able to identify the “pure” proxy effect using a large dataset of 11,739 observations from Peru. The nationally representative Peruvian data contains information on the same child from two different sources (child and proxy) for every observation. The study finds significant disagreement, affecting 20% of the sample, between child and proxy responses. Going beyond what the (Dillon et al., 2012) study is able to do, the paper also analyzes whether attitudes and social perceptions toward child labor affect discrepancies between child and proxy responses, and finds no relationship. Given the conflicting evidence, this paper uses a unique dataset to fill a critical gap in the literature by analyzing the “pure” proxy effect in estimating child labor statistics in Tanzania, and evaluating whether attitudes or other factors drive the estimated discrepancies. 2 Data The data used for this analysis was collected as part of the WEKEZA (Wezesha Ustawi, Endeleza, Kiwongo cha Elimu Kuzuia Ajira kwa Watoto) Baseline Survey conducted during the period of July-September, 2013. The WEKEZA project seeks to curb child labor in Tanzania through provision of scholarships, school vouchers and job or financial management training programs. Eligible beneficiary households were selected from WEKEZA 6 program communities in Tanga and Kigoma Districts of Tanzania based on a screening and wealth-ranking process designed to target households at risk of having child laborers. 520 households were then randomly selected for the survey from the list of eligible households with children age 5-17. Note that in this way, the sample is not representative, rather, it consists of the most vulnerable households in the selected communities.1 The questionnaire was developed using the ILO’s SIMPOC guidelines for child labor survey-based data collection. The primary respondent (household head) was asked to answer questions related to basic household demographics, the education levels of all household members, personal attitudes regarding child labor, and detailed information regarding child employment and the participation in household tasks of all children. Table 1 reports household and child-specific summary statistics of basic demographic information, using data reported by the household head. The average child age is 13, with children having on average four years of education. Four out of every five children in the sample are currently enrolled in school. 80% of households own some agricultural land; these households are later defined as “rural”. 73% of household heads have some education, and a large number - 50% are female. This high number of female household heads is likely due to the sample frame consisting of eligible (i.e. “vulnerable”) households. In addition to these basic demographics, the household head completed a survey module designed to examine knowledge, attitudes and practices regarding child labor. These attitudinal responses are aggregated into a single “attitudes” index using principle components analysis. This index will be used later to understand whether attitudes increase proxy bias.2 1 This is in contrast to both Dillon et al. (2012) and Dammert & Galdo (2013) who use representative samples. 2 Responses to the following series of questions were used to construct the index of child labor attitudes. Positive/negative weights are indicated accordingly. Response options for each question include: Strongly Agree, Agree, Neutral, Disagree, Strongly Disagree. 1. Children involved in work often lack proper parental guidance and support. (+) 2. Parents should be prevented from allowing their children to work in hazardous jobs like sisal or tobacco. (+) 3. It is OK to send your child to work as a domestic boy/girl if you need the money. (-) 4. It is more important for children to earn money for the family than attend school. (-) 5. Employers should be prevented from hiring children. (+) 7 Table 1: Household and Child Demographic Characteristics Mean Std. Deviation Child Characteristics Female (%) Age Years of Education Child Currently Enrolled/Attending in School (%) School Attendance (days missed in past week) 51 13.0 4.00 80 0.67 50 2.14 2.14 40 1.35 Household Characteristics Household size Rural Agricultural Household (%) 6.76 80 2.25 40 Household Head Characteristics Any Education (%) Age Female (%) 73 47.3 50 45 14.4 50 Observations 573 To supplement the household survey, researchers interviewed 623 children age 10-17 who were randomly selected from within the interviewed households. These children were asked directly about their employment and household labor activities. In this way, the data set contains the information typically used to estimate child labor statistics collected from two different sources - proxy (household head) and child. This provides a unique opportunity to investigate the importance of the respondent - child vs. proxy - in estimating child labor statistics. The child and proxy (household head) surveys were similar, but not identical. The primary difference affecting this study lies in the way work hours were collected. Proxies were 6. It is ok if a child works instead of going to school. (-) 7. Parents should be prevented from sending their children to work as domestic laborers. (+) 8. Children who are working in the domestic service are often exploited or abused. (+) 9. Parents who send their children into domestic service often cannot afford to take care of them. (+) 10. The work that a child must do should never interfere with their education. (+) 11. Children have more opportunities working as a house girl/boy for a family in town than staying in the village. (-) 12. It is OK for children to do dangerous work sometimes. (-) 13. Adults should do dangerous work so that children dont have to. (+) 8 asked to estimate the total hours worked (disaggregated by housework and economic activities) by each child for every day of the week. This calculation was deemed too complicated for children, who were instead asked to estimate the number of hours worked doing various activities (again disaggregated into housework and economic activities) for every day of the week. Total daily and weekly hours were then summed electronically. This could clearly affect some of the results (at least any results based on hours worked)3 . Nonetheless, from a practical standpoint such simplifications are often made for child surveys. While these alterations make the two surveys less directly comparable from a researcher’s perspective, from a practical standpoint, the results are all the more relevant since this most accurately reflects the type of survey typically used when collecting these statistics from either type of respondent. 3 Child/proxy discrepancies This study seeks to quantify the systematic measurement error attributable to respondent bias in collecting child labor statistics. Suppose there are two instruments available, one for each respondent type, each thought to suffer from unique systematic error. A standard difference in means t-test of the child labor indicator across instruments c (child-based) and p (proxy-based) indicates whether the indicators are on average equivalent, even if they are both biased. If either instrument is systematically biased, then the goal is to discern whether systematic exaggeration (positive or negative) in either child or proxy reports is the source of bias. This is not straightforward, as we do not observe the true value. First, theory cannot predict the sign of the measurement error of a child’s report: υ c . We anticipate that child cognition will affect accuracy of the child’s self-report, but it isn’t obvious whether this will result in an exaggeration that is consistently positive or negative (or neither). Similarly, it is difficult to 3 Note that the “economically active” definition later defined does not require hours worked, and the differences across surveys can then be ignored. 9 sign the measurement error of the proxy, υ p . A proxy may lack awareness about the child’s actual activities, but it isn’t clear whether this would result in systematic overestimation or underestimation of proxy-based measures of child labor. One might hypothesize that the proxy-based measurement error will be positive if the proxy purposefully underreports the true rate of participation of child labor (that is, if the proxy knows child labor is frowned upon). If the difference between the child’s report and the proxy’s report of child labor is positive, this provides some evidence that the proxy may indeed be purposefully underreporting. However, it still depends on the sign and magnitude of υ c , and it depends on other factors contributing to the bias of υ p . Moreover, measurement error could arise from the inevitable “fuzziness” of the question the respondent is asked, given the complexity of the child labor definitions. If this is the case, the difference between child and proxy reports may reflect the fact that their interpretation of the question being asked varies. For example, one survey question posed to both child and proxy seeks to ascertain whether the child is exposed to dust or fumes while working. A child may walk outside and think they are exposed to dust, whereas the proxy might respond affirmatively only if the child is exposed to heavy dust or strong fumes. Table 2 summarizes data on key measures of child labor and education as reported by the two different types of respondents. The first column presents proxy responses, while the second column presents the child responses. In both cases, 1=yes and 0=no for either respondent unless the variable is continuous (such as weekly hours worked, years of schooling or weekly school absences). The third column presents the difference between child and proxy reports. For the reasons previously noted, a difference in means t-test (significance from the t-test is reported using asteriks in the table) is useful for identifying whether child and proxy reports are equal, but it is limited in its ability to identify the source, direction, or magnitude of bias. Since the definition of child labor is not universal, I consider two prominent definitions. The first row of Table 2 reports the number of estimated child laborers using the most 10 commonly used empirical definition: the economically active (EA) population. Under this definition, a child laborer is economically active if he or she is engaged in any market activities - including paid or unpaid work, and work in a family business or farm - for at least one hour in the week prior to the activity. This definition, like most definitions of child labor, does not include domestic work performed in the child’s own household, because housework is considered noneconomic. Notably, this definition is not affected by the variation across survey design for the different respondents.4 The second row reports statistics using the ILO’s SIMPOC criteria for child labor, referred to as ILO. Under the ILO criteria, a child under the age of 12/14/17 is defined as a child laborer if he or she is economically active in the previous week for 1/14/43 hours respectively, or if he or she participates in any activities that are hazardous. Under this definition hazardous activities include, but are not limited to, those activities which are considered the worst forms of child labor such as trafficked, bondage or forced labor, armed conflicts, prostitution, pornography or illicit activities. However, children in this study who were considered to be “exposed to hazards,” were exposed to far less serious hazards - such as dangerous tools or fire (see Table 3 for a complete list)5 . Because this definition uses hours worked, observed differences across respondents may also reflect small differences in survey design as noted above. Using the EA definition, an estimated 37% of children are classified as child laborers using proxy reports, whereas 61% of children would be considered child laborers using child selfreports. This is a 65% increase over the proxy report, and a statistically significant difference of 24 percentage points. Because so many children in the population are reportedly exposed to potentially hazardous working conditions, both child and proxy-based estimates increase when the ILO definition is considered, but the difference between child and proxy reports (24 percentage points) remains statistically significant: 66% of children are classified as child laborers using proxy reports, compared to 89% using child self-reports. This is a 35% increase 4 5 This distinction is important, as Dillon et al. (2012) report variation across survey design. These hazards match the list of hazards actually used for the baseline report of the WEKEZA project. 11 Table 2: Mean of Child Labor and Education Measures by Type of Respondent Proxy Child Difference Child Labor Indicators EA1 ILO2 Exposure to hazards Weekly work hours (Total) Weekly work hours (Market) Weekly work hours (Household) 0.37 0.66 0.64 16.7 5.18 11.6 0.61 0.89 0.88 26.2 8.40 18.2 0.24*** 0.24*** 0.23*** 8.71*** 3.15*** 6.18*** Sector Agricultural Non-Agricultural 0.16 0.25 0.24 0.49 0.075*** 0.24*** Education Currently attending school Years of completed schooling School days missed (past week) 0.80 4.67 0.67 0.76 4.72 0.82 -0.0037 0.030 0.18*** 573 573 573 Observations *** p<0.01, ** p<0.05, * p<0.1 1 2 Economically Active: engaged in any market activities in the prior week. SIMPOC: Economically active in the previous week for x hours, or hazardous work. 12 Table 3: Mean of Reported Child Exposure to Hazards by Type of Respondent Proxy Child Difference Exposure to any hazards 0.64 0.88 0.23*** Dust or fumes Fire, gas, flames Loud noise or vibration Extreme cold or heat Dangerous tools Work underground Work at heights Work in water Dark or confined workplace Insufficient ventilation Chemicals Explosives 0.61 0.08 0.18 0.36 0.31 0.01 0.01 0.01 0.01 0.00 0.01 0.01 0.78 0.38 0.20 0.48 0.64 0.01 0.03 0.08 0.05 0.03 0.04 0.00 0.17*** 0.31*** 0.02 0.12*** 0.32*** 0.00 0.02*** 0.073*** 0.043*** 0.023*** 0.023*** -0.0018*** Observations 573 *** p<0.01, ** p<0.05, * p<0.1 573 573 over the proxy-based estimate. In estimating the number of child laborers using the ILO definition, any activity thought to be potentially mentally, physically, socially or morally harmful is considered. For this reason, the third line of Table 2 summarizes child exposure to potentially hazardous conditions. Both the child and proxy survey contained a series of questions asking about the child’s exposure to any of the following conditions while working in the past year: dust, fumes, fire, gas, flames, loud noise, vibration, extreme cold, extreme heat, dangerous tools, work underground, work at heights, work in water, work in a dark or confined workplace, insufficient ventilation, or exposure to chemicals or explosives. If the child or proxy answered “yes” to any of these conditions, the child is considered to have been exposed to “potentially hazardous conditions”. As with the traditional child labor measures, children report higher levels of exposure to potentially hazardous conditions. Table 3 further breaks this down by each particular hazard. Across almost all potential hazards, children consistently report higher exposure rates. 13 In lines 4-6 of Table 2, I consider work hours as another indicator of child labor. In both the proxy and child survey, respondents were asked, “For each day worked during the past week, how many hours did [child] actually work, including the main and other work?” Two work schedules were in fact collected. The first schedule collected information on hours worked in the past week doing economic activities. The second schedule collected information on any hours spent completing household tasks. These hours are summed to create three separate indicators based on both proxy and child reports: market activity weekly work hours, household activity weekly work hours, and total weekly work hours. These indicators are all reported in Table 2. Once again, child self-reports are at least 50% higher, with children reporting 26 total hours per week on average, 8 hours of market-related activities and 18 hours spent doing household tasks. These differences between child and proxy are statistically significant for all three categories of work hours. In the second panel of Table 2 child work is disaggregated by the agricultural and nonagricultural sector. Here we see that children are 50% more likely to report working in the agricultural sector (a difference of 8 percentage points) and 100% more likely to report working in the non-agricultural sector (a difference of 24 percentage points). In the third and final panel of Table 2 reporting differences on educational outcomes are considered. This serves two purposes: First, any work that interferes with a child’s education is considered to be child labor by the ILO, so education outcomes are integrally tied to the issue of child labor. Second, for basic educational indicators we would not expect children and proxies’ reports to differ significantly. In this way, testing for differences across educational indicators serves as a data quality check. I find no detectable difference in basic educational outcomes between child and proxy. Both respondents provide the same answer when asked, “Is [child] currently in school? ” and “Which grade? ”. Not surprisingly, some disagreement between child and proxy responses is observed for school attendance, with children reporting a higher number of days missed in the previous week. Another way to compare child and proxy responses is to consider agreement and disagree- 14 Figure 1: Agreement and Disagreement between Proxy and Child on Various Child Labor Indicators EA Both say "Yes." ILO Both say "No." Exposure to Hazards Proxy says "Yes," Child says "No." Agricultural Work Proxy says "No," Child says "Yes." Non-Agricultural Work 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% ment in responses. If child and proxy responses agree, then we can be more confident that the measure is accurate for a given observation. The summary statistics just presented suggest that proxy respondents may largely underestimate child labor relative to child self-reports, or alternatively, that children may largely overestimate their own child labor participation. For this reason, we may be particularly interested in knowing how commonly we observe this misreporting in the data. On the contrary, we would expect to rarely observe proxychild disagreement such that the proxy reports the child as a laborer while the child herself does not. Figure 1 reports proxy-child agreement and disagreement on various indicators of child labor. For all indicators, the child and the proxy respondent agree 60-80% of the time. As expected, proxy over-reporting (relative to child) is rarely observed, whereas proxy under-reporting (or child over-reporting) is substantial. Consider the EA definition: proxies under-report (relative to the child) 31% of the time. Under the ILO’s definition, 27% of observations based on the proxy’s report would suggest the child is not a laborer, while the child’s own self-report would suggest that he is indeed a child laborer. If we were to focus on exposure to potentially hazardous conditions, disagreement exists between 27% of observations such that the proxy reports no exposure while the child 15 indicates that he or she has indeed been exposed to hazards. The same trend shows up when the sectors are disaggregated: the proxy reports no sector-specific agricultural labor while the child reports working in agriculture 14% of the time. Similarly, the proxy reports no non-agricultural child labor while the child reports working outside the agricultural sector 29% of the time. These summary statistics suggest that considerable differences exist between child and proxy reports of child labor. In the next section, I consider whether these differences are affected by characteristics of either respondent. 4 Determinants of child/proxy discrepancies As a first step toward evaluating the relationship between respondent characteristics and the realized data discrepancies between child and proxy reports, Table 4 parallels the statistics reported in the first panel of Table 2, but the summary statistics are further disaggregated by child sex and age, and proxy attitudes related to child labor. Table 4 shows that the child-proxy difference is relatively similar across boys and girls, but the gap appears to shrink among older children relative to younger children, and is larger when proxy reports are acquired from proxies with strong reported attitudes against child labor. To further unpack the differences between child and proxy reports of child labor participation, In this section I estimate the non-causal relationship between child-proxy differences and various child and proxy characteristics using regression analysis. To assess whether certain characteristics are correlated with differences in child-based and proxy-based instruments, let child labor, as measured by instrument k, be a function of observable determinants xi and random error εi : yik = x0i β + εki (1) Including a dummy variable d indicating whether the dependent variable is measured using 16 Table 4: Mean of Child Labor Measures by Respondent, Child Sex and Age, Proxy Attitudes Boys Girls Proxy Child Difference Proxy Child Difference EA 0.42 0.66 0.24*** 0.32 0.57 0.25*** ILO 0.64 0.88 0.24*** 0.67 0.90 0.23*** Exposure to hazards 0.63 0.86 0.23*** 0.66 0.89 0.24*** Weekly work hours (Total) 13.0 21.5 7.67*** 20.3 30.4 9.65*** Weekly work hours (Market) 5.39 8.81 3.35*** 4.99 8.01 2.96*** Weekly work hours (Household) 7.6 13 5.12*** 15.4 22.9 7.13*** Observations 280 280 280 293 293 293 Proxy EA 0.33 ILO 0.62 Exposure to hazards 0.59 Weekly work hours (Total) 13.6 Weekly work hours (Market) 3.77 Weekly work hours (Household) 9.78 Observations 261 Age 10-12 Child Difference 0.61 0.28*** 0.87 0.25*** 0.84 0.25*** 23.1 9.00*** 7.4 3.58*** 15.7 5.38*** 261 261 Weak Attitudes1 Proxy Child Difference EA 0.42 0.63 0.21*** ILO 0.71 0.9 0.19*** Exposure to hazards 0.69 0.89 0.2*** Weekly work hours (Total) 16.4 25 7.92*** Weekly work hours (Market) 5.24 7.59 2.36*** Weekly work hours (Household) 11.2 17.9 6.35*** Observations 272 272 272 *** p<0.01, ** p<0.05, * p<0.1 1 Proxy 0.40 0.69 0.69 19.4 6.37 13.0 312 Strong Attitudes2 Proxy Child Difference 0.32 0.59 0.27*** 0.61 0.89 0.28*** 0.6 0.87 0.27*** 17 27.4 9.48*** 5.14 9.12 3.86*** 11.8 18.5 6.01*** 301 301 301 Weak attitudes denotes a proxy who earned a below average attitudes index, (to be interpreted as weakly against - or unaware of - child labor) 2 Strong attitudes denotes a proxy who earned a below average attitudes index, (to be interpreted as strongly against child labor) 17 Age 13-17 Child Difference 0.61 0.21*** 0.91 0.22*** 0.91 0.22*** 28.9 8.47*** 9.23 2.79*** 20.4 6.84*** 312 312 child or proxy reports allows estimation of the marginal effect γ of using either the child or proxy report: yik = x0i β + γd + εki (2) Now suppose the respondent bias is correlated with factors that also affect child labor. Then the estimate of β̂ will be sensitive to the instrument used, which may affect our understanding of the determinants of child labor. Several methods can be used to test for this. First, interaction terms could be included. For example, d could be interacted with child age or proxy attitudes related to child labor if we anticipate that these variables affect the report of child labor differentially, depending on the respondent used. The results of this “pooled model” are presented in Section 4.1. Alternatively, Equation 1 could be estimated separately using both instruments. This alternative specification allows us to take advantage of the “pure” proxy effect. Using this specification, we then test whether β̂ c = β̂ p . To allow for the possibility that the errors are correlated across the equations, the model can be estimated using seemingly unrelated regression. The results of this specification are presented in Section 4.2. Rather than analyze the determinants of child labor, we may be more interested in the determinants of differences between child and proxy reports: ∆y = yic − yip . Writing this difference as a function of observable determinants and errors yields: ∆y = x0i δ + εi (3) A significant coefficient is similar to testing β̂ c = β̂ p , a test of whether the systematic measurement bias depends on xi . If the dependent variables are discrete, this is akin to analyzing determinants of agreement and disagreement. Section 4.3 evaluates the “pure” proxy effect through use of child-proxy agreement and disagreement as dependent variables. Section 4.4 analyzes differences in continuous variables (specifically work hours). 18 4.1 Pooled Model In this first step of the regression analysis the data is pooled across both child and proxy reports. Following Equation 2, an indicator of child labor is regressed on a dummy variable equal to 1 if the outcome variable was obtained from a child’s own self-report and a vector of covariates. This specification allows for testing not only the hypothesis that the age of the child and the attitudes of the proxy might influence the probability that the child is working, but can also test whether those characteristics impact the report of child labor differentially depending on whether a child or proxy report is used. To test this latter hypothesis, a dummy variable for child/proxy report is interacted with child age and proxy attitudes respectively. Table 5 reports the results of this specification. Three outcomes of interest are used: the EA and ILO definitions of child labor described previously (using probit), and work hours relating to economic (not household-related) activities (using OLS). Additional covariates include variables typically associated with vulnerability as it relates to a household sending children into the work force: education and age of the household head, whether the head is male or female, household size, rural, wealth, and whether the household has recently experienced a covariate (defined as any country or community-wide problem in the last year) or income shock (defined as a direct income shock, loss of employment, bankruptcy, illness preventing work, death or abandonment of a working family member, criminal act of a household member, loss of cash support or in-kind assistance, declining prices of products important to the family business, harvest loss or livestock loss).6 The regression is first estimated using the full sample (columns 1-3), and then disaggregated by boys (columns 4-6) and girls (columns 7-9). Similar to the mean comparisons of Section 2, Table 5 suggests that child self-reports of child labor are higher than proxy reports. This effect is consistently positive across specifications and often, though not always, statistically significant. Older children are more likely to 6 Jacoby & Skoufias (1997), Yang (2008), Beegle et al. (2006) and Duryea et al. (2008) provide examples of studies that have shown households use child labor to cope with various types of (covariate or idiosyncratic) income shocks. 19 20 yes 1,088 0.101 2.122*** (0.769) -0.077 (0.052) -0.132** (0.059) 0.093*** (0.026) -0.036 (0.031) 0.106 (0.199) -0.029 (0.228) -0.011 (0.010) -0.017 (0.011) 0.950*** (0.212) -0.087*** (0.027) -0.462* (0.253) -0.198 (0.373) -1.989*** (0.575) yes 1,088 0.220 1.960 (1.484) -0.016 (0.119) -0.141 (0.131) 0.178*** (0.051) -0.057 (0.096) -0.078 (0.289) -0.035 (0.298) -0.010 (0.007) 0.050*** (0.019) 1.133*** (0.300) -0.078** (0.038) 0.393 (0.320) -0.612** (0.258) -1.479 (1.269) (2) Pooled ILO yes 1,084 0.090 yes 534 0.139 1.909 (1.229) -0.058 (0.080) -0.160*** (0.022) 0.120** (0.053) -0.085 (0.066) 0.347 (0.469) 0.248 (0.278) -0.018 (0.014) 0.028 (0.029) 1.464** (0.664) -0.066 (0.069) -0.765 (0.473) 0.219 (0.532) -3.025 (2.178) EA Hours1 5.553*** (0.815) -0.168* (0.072) -0.511** (0.180) 0.927*** (0.078) 0.132 (0.168) 0.811 (0.726) -0.555 (0.983) 0.001 (0.046) 0.226 (0.193) 3.453*** (0.776) -0.467*** (0.103) -0.404 (0.670) -1.843 (1.422) -11.519* (4.584) (4) (3) Cluster robust standard errors in parentheses *** p<0.01, ** p<0.05, * p<0.1 1 denotes work hours related to economic activities, not household activities District Fixed Effects Observations R-squared Constant Income Shock Covariate Shock Wealth Index Rural Agricultural Household Household size Age Household Head Female Household Head Any Education Household Head Attitudes index Age Child Attitudes * Proxy Report Age Child * Child Self-Report Child Self-Report EA (1) yes 534 0.191 2.278* (1.377) -0.048 (0.112) -0.076 (0.145) 0.189*** (0.065) -0.086 (0.120) 0.264 (0.343) 0.034 (0.274) -0.014 (0.012) 0.033 (0.029) 1.038* (0.534) -0.065 (0.040) 0.372 (0.315) -0.691** (0.328) -1.544 (1.968) (5) Boys ILO yes 533 0.135 7.684 (4.662) -0.300 (0.404) -0.574 (0.392) 1.247*** (0.269) -0.434 (0.273) 1.760 (1.121) 0.093 (0.448) -0.015 (0.032) 0.273 (0.293) 5.594** (1.603) -0.332* (0.156) -1.859** (0.695) 0.127 (1.888) -17.842** (5.479) Hours1 (6) Table 5: Determinants of child labor outcomes using pooled data yes 554 0.980 2.428*** (0.831) -0.099 (0.061) -0.099 (0.111) 0.092** (0.044) -0.001 (0.046) -0.188 (0.158) -0.267 (0.242) -0.007 (0.011) -0.033** (0.015) 0.632** (0.269) -0.108*** (0.039) -0.080 (0.328) -0.607* (0.338) -1.762* (0.910) EA (7) yes 554 0.273 1.576 (1.615) 0.026 (0.129) -0.239 (0.165) 0.183*** (0.061) -0.004 (0.128) -0.464 (0.339) -0.130 (0.394) -0.008 (0.009) 0.062* (0.034) 1.192*** (0.070) -0.098** (0.040) 0.474 (0.509) -0.645** (0.327) -1.351 (1.187) (8) Girls ILO yes 551 0.111 3.239 (4.341) -0.020 (0.351) -0.489 (0.341) 0.705** (0.197) 0.572** (0.221) -0.302 (1.270) -1.489 (2.469) 0.016 (0.053) 0.107 (0.247) 1.944** (0.708) -0.583 (0.303) 1.759 (1.484) -3.920 (2.247) -7.147 (4.994) Hours1 (9) be child laborers, as are rural children from poorer households. Although there is very little evidence that proxy attitudes directly influence whether a child is engaged in child labor, there is some evidence to suggest that if a proxy is strongly against child labor, then the proxy’s report of child labor tends to be lower (as indicated by the consistently negative coefficient on the interaction between proxy attitudes and a proxy report). While older children are more likely to be engaged in child labor, a consistently negative coefficient (although not statistically significant) on the interaction between child age and a child’s report may suggest a dampening effect as the child age: younger children may be overreporting. 4.2 Pure Proxy Effects This dataset is unique in that it contains duplicate information on the same child as reported from two different sources: the child and a proxy. This allows estimation of a “pure” proxy effect. Table 6 presents the results of estimating Equation 1 separately for child and proxy reports. The first two columns report probit results using EA as the dependent variable, columns 4-5 report probit results using the ILO’s definition of child labor as the dependent variable. Columns 4 and 6 report p-values for the test of equality of coefficients between the child-based and proxy-based models. Focusing on these p-values, statistically significant differences in means between child and proxy-based coefficients for the two variables of theoretical interest: child age and proxy attitudes. These differences highlight the importance of this analysis: if the outcome we seek to measure (in this case child labor) depends on characteristics of the respondent, then the measures will be differentially biased depending on who we as researchers select as respondents. This is thus a very important consideration when we consider aggregating child labor statistics across time and space. 21 22 yes 544 0.109 0.020** (0.009) -0.033*** (0.011) -0.091** (0.039) -0.000 (0.049) -0.030 (0.043) -0.003** (0.002) -0.006 (0.010) 0.181*** (0.065) -0.016 (0.010) -0.126** (0.050) -0.062 (0.063) 0.239 (0.195) yes 544 0.065 0.002 (0.010) -0.008 (0.012) -0.087** (0.041) 0.038 (0.051) 0.018 (0.045) -0.002 (0.002) 0.002 (0.010) 0.228*** (0.067) -0.021* (0.011) -0.065 (0.052) -0.038 (0.065) 0.457** (0.203) (2) EA Proxy Report 0.368 0.757 0.325 0.716 0.565 0.492 0.506 0.366 0.531 0.936 0.070* 0.106 P-value (3) Seemingly unrelated regression with correlated standard errors in parentheses *** <0.01, ** p<0.05, * p<0.1 District Fixed Effects Observations R-squared Constant Income Shock Covariate Shock Wealth Index Rural Agricultural Household Household size Age Household Head Female Household Head Any Education Household Head Female Child Attitudes index Age Child Child Report (1) yes 544 0.202 0.035*** (0.009) -0.029*** (0.011) 0.030 (0.037) -0.021 (0.046) 0.025 (0.040) -0.003* (0.001) 0.010 (0.009) 0.241*** (0.061) -0.016 (0.010) 0.040 (0.047) -0.119** (0.059) 0.212 (0.183) Child Report (4) yes 544 0.127 0.009 (0.006) -0.006 (0.007) 0.014 (0.025) 0.014 (0.031) -0.033 (0.028) -0.000 (0.001) 0.003 (0.006) 0.165*** (0.041) -0.010 (0.007) 0.055* (0.032) -0.061 (0.040) 0.671*** (0.125) (5) ILO Proxy Report Table 6: Determinants of child labor outcomes, “pure” proxy effects 0.025** 0.377 0.772 0.594 0.265 0.442 0.111 0.199 0.503 0.683 0.057* 0.009*** P-value (6) 4.3 Child-Proxy Agreement and Disagreement The analysis presented thus far has shown considerable disagreement between child and proxy on child labor participation reports. Figure 1 showed that 14-31% of observations yielded different reports between child and proxy, depending on the indicator. In this section, I consider each of the possible scenarios described in Figure 1: a) Both say “Yes,” b) Both say “No,” c) Proxy says “Yes,” but Child says “No,” d) Proxy says “No,” but Child says “Yes.” Columns 1-3 of Table 7 report the results for a regression where the dependent variable equals 1 if both the proxy and child agree that the child is an active participant in the labor force using the EA (column 1) and ILO (column 2) definitions of child labor, or is exposed to potentially hazardous conditions while working (column 3). Column 4-6 reports the results using a dependent variable equal to 1 if both the proxy and child agree that the child is not a child laborer (columns 4-5 using EA and ILO respectively) or exposed to potential hazards (column 6). Finally, columns 7-9 report similar regression results using a dependent variable equal to 1 if the proxy does not report child labor or exposure to hazards, while the child’s self report does (for EA, ILO and hazards respectively). All results presented in this table are estimated as a seemingly unrelated regression with correlated errors. Few observations exist for the fourth scenario- proxy reporting “yes” while the child reports “no” - so it is left out as the base scenario (it cannot be estimated jointly due to matrix singularity). This scenario is also theoretically the least interesting and the most difficult to interpret. The results presented in Table 7 support the previous findings. Suppose proxy-child agreement are indicative of “true” child labor measures. The first 6 columns suggest that older males living in rural areas are most likely to be engaged in child labor. Economic factors obviously play a role, lower wealth households are more likely to have children engaged in child labor. Attitudes also matter: proxy respondents with strong negative attitudes towards child labor are more likely to have child-proxy agreement: their children are less likely to be counted as engaged in child labor either by proxy or child report. In other words, people with strong attitudes against child labor are less likely to have children engaged in child 23 24 yes 544 0.098 0.018** (0.009) -0.023** (0.011) -0.112*** (0.038) 0.052 (0.047) -0.023 (0.041) -0.002 (0.001) -0.008 (0.009) 0.162*** (0.062) -0.017* (0.010) -0.082* (0.048) -0.103* (0.060) 0.148 (0.186) EA yes 544 0.197 0.037*** (0.009) -0.026** (0.011) 0.033 (0.038) -0.014 (0.047) 0.016 (0.041) -0.002 (0.001) 0.011 (0.009) 0.236*** (0.062) -0.017* (0.010) 0.045 (0.048) -0.106* (0.060) 0.123 (0.187) ILO yes 544 0.232 0.044*** (0.009) -0.026** (0.011) 0.032 (0.037) -0.012 (0.046) 0.035 (0.041) -0.002 (0.001) 0.014 (0.009) 0.249*** (0.061) -0.021** (0.010) 0.048 (0.048) -0.080 (0.060) -0.070 (0.185) Hazards yes 544 0.091 -0.004 (0.009) 0.018* (0.011) 0.067* (0.039) 0.015 (0.048) -0.011 (0.042) 0.003** (0.001) -0.004 (0.009) -0.247*** (0.063) 0.020* (0.010) 0.110** (0.049) -0.002 (0.062) 0.452** (0.191) EA yes 544 0.149 -0.007 (0.005) 0.008 (0.006) -0.011 (0.021) -0.007 (0.026) 0.023 (0.023) 0.000 (0.001) -0.002 (0.005) -0.169*** (0.034) 0.008 (0.006) -0.051* (0.027) 0.074** (0.033) 0.240** (0.104) ILO Seemingly unrelated regression with correlated standard errors in parentheses *** <0.01, ** p<0.05, * p<0.1 District Fixed Effects Observations R-squared Constant Income Shock Covariate Shock Wealth Index Rural Household size Age Head Female Head Education Head Female Child Attitudes index Age Child (5) (6) yes 544 0.152 -0.013** (0.005) 0.009 (0.006) -0.018 (0.022) 0.005 (0.028) 0.034 (0.024) 0.001 (0.001) -0.003 (0.005) -0.168*** (0.037) 0.007 (0.006) -0.061** (0.028) 0.053 (0.035) 0.326*** (0.110) Hazards Both say “No” (4) Both say “Yes” (3) Proxy and Child Agree (2) Proxy and Child Agree (1) (8) (9) yes 544 0.022 -0.017* (0.009) 0.015 (0.011) 0.024 (0.040) -0.015 (0.050) 0.041 (0.044) -0.000 (0.002) 0.010 (0.010) 0.065 (0.066) -0.003 (0.011) 0.017 (0.051) 0.064 (0.064) 0.309 (0.198) yes 544 0.117 -0.028*** (0.009) 0.020* (0.010) -0.020 (0.036) 0.028 (0.045) -0.048 (0.040) 0.002 (0.001) -0.008 (0.009) -0.071 (0.060) 0.007 (0.010) 0.011 (0.047) 0.045 (0.058) 0.548*** (0.181) yes 544 0.127 -0.028*** (0.009) 0.020* (0.010) -0.009 (0.036) 0.007 (0.045) -0.078** (0.040) 0.001 (0.001) -0.010 (0.009) -0.085 (0.060) 0.011 (0.010) 0.011 (0.046) 0.037 (0.058) 0.647*** (0.180) Proxy and Child Disagree Proxy says “No” Child says “Yes” EA ILO Hazards (7) Table 7: Determinants of child labor agreement and disagreement between child and proxy reports labor, and their reports regarding their own child’s engagement in child labor is more likely to be accurate than similar reports from those lacking a strong negative opinion. These relationships are as we would expect. Our primary interest lies in columns 7-9, which considers the case where the proxy does not report the child to be a laborer, whereas the child’s own self report suggests he or she should be counted as a child laborer. Although the model explains very little variation in the data, we see some evidence that two factors, both grounded in theory, may be driving child-proxy disagreement. 1) Older children are less likely to disagree with the proxy. 2) Proxies with strong attitudes in opposition of child labor are less likely to report child labor even if the child self-report indicates that he or she is a laborer. This evidence supports underreporting of child labor (especially hazard exposure) by proxies with strong attitudes in opposition of child labor. These two results combined suggest that both child and proxy reports are likely to be biased in opposite directions: young children may overreport, and proxies with strong attitudes against child labor may underreport. 4.4 Child-Proxy Differences In a final step of the analysis, Table 8 shows the determinants of differences between child and proxy reports of weekly hours worked. The first two columns are joint estimates using seemingly unrelated regression. The third column is estimated separately.7 Here we observe additional evidence of proxy underreporting and child overreporting. The gap between child and proxy reported work hours, at least for economic activities, shrinks as the child ages. Stronger attitudes appear to increase the spread between market-related work hours reported by the child and proxy, but they have no impact on the difference reported for household activities. This may indicate an opinion that children should not be engaged in market activities, whereas household tasks are deemed appropriate. 7 Total work hours cannot be estimated as part the system due to matrix singularity since it is constructed as the sum of economic and household activity hours. 25 Table 8: Determinants of differences between child and proxy reports of weekly hours worked Age Child Attitudes index Female Child Education Head Female Head Age Head Household size Rural Household Wealth Index Covariate Shock Income Shock Constant District Fixed Effects Observations R-squared (1) (2) (3) Economic Activity Work Hours Household Activity Work Hours Total Work Hours -0.456* (0.245) 0.730** (0.287) -0.179 (1.029) 1.058 (1.285) 2.071* (1.117) -0.020 (0.040) 0.380 (0.245) -0.441 (1.741) -0.298 (0.263) -2.741** (1.294) 2.503 (1.661) 5.910 (5.133) 0.227 (0.301) -0.297 (0.354) 1.985 (1.266) -0.296 (1.582) 0.718 (1.375) -0.019 (0.049) 0.570* (0.302) 0.688 (2.143) 0.001 (0.324) -1.865 (1.593) 2.194 (2.045) -5.762 (6.319) -0.229 (0.289) 0.433 (0.415) 1.807 (1.705) 0.762 (2.114) 2.788*** (0.581) -0.039 (0.039) 0.950* (0.441) 0.247 (3.493) -0.296 (0.454) -4.607 (2.680) 4.697 (4.348) 0.148 (6.496) yes 445 0.056 yes 445 0.072 yes 445 0.061 Seemingly unrelated regression with correlated standard errors in parentheses *** <0.01, ** p<0.05, * p<0.1 26 5 Conclusion In this paper I analyzed whether respondent type plays a role in explaining variation in child labor statistics. The results presented suggest that it most certainly does. Estimates of child labor increase by approximately 35-65% when child self reports are used to construct indicators of child labor prevalence, rather than proxy reports. Disagreement between the child and proxy exist in 14-31% of observations. This finding is noteworthy in that it contradicts the findings of Dillon et al. (2012) who study a similar population and find no difference between child and proxy. I also analyzed whether certain characteristics contribute to the reporting bias. The analysis provides some evidence that younger children may overreport their child labor status. This could suggest that younger children, even at age 10, are not as capable cognitively as is commonly argued, and may actually overreport their engagement in the labor force. In addition, some proxies who demonstrate an attitude against child labor may choose to underreport child labor in their household if the child is in fact working. These findings are somewhat nuanced, and future research should explore these issues in greater detail. However, it does suggest that the “gold standard” of child self-reporting may not be as clear cut as previously anticipated. The answer to the question, “Whom should we ask?” is not straightforward if both reports are biased, albeit in opposite directions. Because funding decisions are regularly tied to reports of child labor statistics, measuring these statistics accurately is of critical importance. A recent ILO report claims that 168 million children are child laborers. Assuming the estimates are largely based on proxy reports (since proxy reports are easier to acquire), this analysis suggests that the estimates would be much higher if children were asked to report on their own child labor. Yet, these estimates are routinely used by the ILO and others to target policy reform, institutional capacity building efforts, and awareness raising campaigns. 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