Does full-day schooling reduce educational inequality in Vietnam? Tran Ngo Minh Tama* and Laure Pasquier-Doumerb a Centre for Analysis and Forecasting, Vietnam Academy of Social Sciences, Hanoi, Vietnam Postal address: Center for Analysis and Forecasting, 14th Floor, 1 Lieu Giai, Ba Dinh, Hanoi, Vietnam Tel: (84) 04 62730475/ Mobile: 84-9 1228 1922 Email: [email protected] b IRD, UMR 225 DIAL, Paris, France Université Paris-Dauphine, LEDa-DIAL, Paris, France Postal address: DIAL, 4 rue d’Enghien, 75010, Paris Tel : +33 1 53 24 14 50 Email: [email protected] * Corresponding author. Email: [email protected] Does full-day schooling reduce educational inequality in Vietnam? Abstract: Full-day schooling has been implemented in Vietnam to deal with the lack of instructional time in primary education in regard to international standards. Yet full-day schooling may impact educational inequality by filling the gap in terms of instructional time between children with different family background. Indeed, well-off families use to compensate the lack of instructional time by private tutoring. This paper investigates whether the huge development of full-day schooling in recent years can improve equality of opportunity in Vietnam by using the data from the Young Lives School Survey 2011-2012. Firstly, it examines the variation in instructional time and school resources between pupils with and without full-day schooling from different social background. It then investigates the learning progress associated with full-day schooling across social background. Evidence implies that full-day schooling cannot narrow the inequality of opportunity in learning achievement at this stage of implementation. On the contrary, it contributes to rise the gap in learning progress among children of different social background. Keywords: full-day schooling; education; inequality of opportunity; learning progress; social background; Vietnam 1. Introduction Shortages of financial and human resources have constrained many developing countries to limit the instructional time to half of the day. With economic development and the achievement of universal enrolment in primary education, many of these countries have implemented policies to lengthen the instructional time in order to reach international standards for education. Vietnam belongs to these countries. Although the full-day schooling policy has been decided very early in Vietnam (1956), its implementation remained marginal until the 2000’s and has accelerated since 2009 with the School Education Quality Assurance Program. By lengthening the instructional time, full-day schooling is expected to improve the learning achievement of the children. This is confirmed by most of the studies, although the observed effect of increasing the instructional time on achievement is often small (see Holland et al. 2015 or Orkin 2013 for a review). Pieces of evidence show for Vietnam a strong association between full-day schooling and achievement (Tran, 2014; World Bank, 2011), although no study has addressed the causal inference. Expanding the instructional time has also been proposed as a policy option to reduce the inequality of opportunity, especially in developed countries like USA (Biernat, 2011). Inequality of opportunity is defined here as the association between educational performance and family background. The argument putting forward is that this policy allows children with disadvantaged social background to narrow the gap in instructional time compared to well-off children. Indeed, well-off families are able to compensate the lack of instructional time by private tutoring and extra-classes. In addition, poorest families rely mostly on schools to provide academic learning for their children; in contrast to children from well-off or middle-class families, who rely on school for only a portion of their learning and are more likely to receive intellectual stimulation during the time they spend at home. By substituting time spent at home with time at school, children from 2 different social background will benefit from a more similar learning environment. However, narrowing the gap in instructional time for children with different social background will reduce inequality of opportunity in learning achievement only if the quality of instructional time is the same for all groups of children. Yet, very few studies have analyzed the effect of expanding the instructional time on inequality of opportunity, particularly in developing countries, and these studies reach different conclusions. Looking at the association between social background and performance in mathematics in 54 countries, Schutz et al. (2008) found no significant difference in the equality of opportunity between half-day and whole-day school systems. Their study relies on comparable data from the Third International Mathematics and Science Study (TIMSS). Due to data constraints, their study presents some limitations. In particular, the measurement of social background that is the number of books at home is simplistic. In addition, they are able to control for unobserved country heterogeneity but only when it does not vary across time as they used country fixed effects. Hindicapie (2016) shows that switching from a half school day to a full school day improves more the achievement of the lowest-income pupils in Colombia and therefore reduces the inequality of opportunity in learning achievement. Their demonstration relies on an identification strategy that exploits within school variation in the length of the school day which is supposed to be exogenous. Using PISA 2006 data from over 50 countries, Lavy (2010) found also a greater effect of instructional time on academic achievement for pupils from low socioeconomic status families. The identification of the effect of instructional time is based on a comparison of the performance of the same pupils in different subjects in order to overcome potential selection and endogeneity problems. Lavy (2012) came to the same conclusion for Israel by using another identification strategy which relies on natural experiment that provided an opportunity to exploit a sharp change in the method of funding schools in Israel. Finally, Orkin (2013) study the effect of a large switch to full-day schooling in a developing country - Ethiopia. The causal inference is made by using a natural experiment that is the variation in the time of implementation of the reform by the districts. This variation is supposed to be exogenous. Her result differs from other study as she concluded to an increase of inequality of opportunity: effects of full-day schooling are larger among better-off children defined as children who are not stunted, children from richer households and children in urban schools. This paper aims at contributing to this question by tackling the case of Vietnam, a developing country with particularly interesting context. First, inequality of opportunity in education is a raising concern for the country. Inequality in education across socioeconomic groups or across ethnic groups has increased during the last decades, especially in secondary education attainment (World Bank 2011). Second, the implementation of fullday schooling in Vietnam presents some particularity that may change the effect of full-day schooling on inequality of opportunity. The participation of the families in funding the fullday schooling policy is far from being negligible. This may impede the positive impact of this policy on equality of opportunity. On the other hand, Vietnam has conducted an ambitious policy from 2009 to 2015 to support schools in the most disadvantaged provinces in their switch to full-day schooling. 3 This paper therefore examines whether full-day schooling is associated with higher equality of opportunity in educational achievement. Full-day schooling reduces the inequality of opportunity in learning achievement only if the pupils with disadvantaged social background benefit more from this policy than their well-of counterparts in terms of learning time and resources at school. To test it, we inspect the variations in instructional time and school resources between pupils with and without full-day schooling from different social background. Data from the School Survey 2011 collected under the Young Lives Project in Vietnam are used. The learning progress associated with full-day schooling across social background is investigated by estimating value-added models with the inclusion of interaction terms between social background and full-day schooling. Past educational inputs and unobserved characteristics of the pupils are partially captured by the lagged achievement, but unobserved time-varying characteristics are not controlled for. Thus, this paper provides an array of evidence on the relationship between full-day schooling and inequality in learning progress across social backgrounds rather than causal inferences. The results show that full-day schooling only partially narrows down the gap in instructional time of students from different level of social background. Pupils from welloff families attend both full-day schooling and extra classes, and poorest children have still less access to full-day schooling. In addition, while full-day-schooling implementation is associated with higher level resources at the school and the class levels, resources are unequally distributed across students benefiting from the full-day-schooling and with different social background. The higher the level of social background of the students, the higher the resources they have access to. Finally, full-day-schooling is not associated with better learning progress, especially for children with disadvantaged social background. This evidence depicts very minor contribution of FDS in the reduction of inequality of opportunity in learning achievement. It even seems to contribute to this inequality. The paper is organized as follows. Section 2 provides an overview of the implementation of full-day schooling in Vietnam. The data and the definitions used in the analysis are described in Section 3. Section 4 scrutinizes whether full-day schooling reduces the instructional time between students with different social background. The distribution of additional resources devoted to full-day schooling across social background is analyzed in section 5. Section 6 analyses whether the effect of full-day schooling on learning achievement varies according to the social background of the children. Section 7 summarizes the results and presents their policy implications. 2. Full-day schooling in the context of Vietnam Instructional time in Vietnamese schools lags far behind the one of advanced economies but other Southeast Asian countries as well (Figure B2 and B3 in Appendix). The time constraint does not allow teachers for ensuring the basic primary curriculum. Concurrently private tutoring has been widespread, with the share of pupils in primary school that attended extra classes reaching 35 percent in 20122, increasing the instructional time of the well-off children. Being aware of these disparities, the Government has been 2 Authors’ estimations from the Vietnam Household Living Standards Survey 2012 4 promoting the transition to full-day schooling with a minimum national standard of 35 periods per week by 2025, each period including from 35 to 40 minutes of instructional time (Vietnam Education Development Strategic Plan 2008-2020). This means an increase of at least 40 percent in instructional time to shift from half-day schooling to full-day schooling at the primary level. Since the first introduction in 19563, full day schooling in primary education has been implemented in Vietnam spontaneously and mostly in the urban areas until the 2000’s. The adoption of full-day schooling is decided at the school level with limited support from the government. Local authority and parents share the cost of infrastructure and additional salary of teachers induced by full-day schooling. In addition, full-day schooling is either applied to the whole school or some classes in the school, and the extension of learning time could vary to reach from 30 to 40 periods per week, depending on the willing and the resources of the schools. Consequently, the first schools which lengthened the learning time were those where parents were willing and able to pay extra costs. The proportion of pupils attending full-day schooling in poorest districts has remained very low until 2009. It was 30 per cent in 2008 compared to 59 per cent nationwide (World Bank, 2011). In late 2009, the Government inaugurated 4 the School Education Quality Assurance Program 5 (SEQAP) to enhance the quality of primary education by supporting the transition to full-day schooling of primary schools. The program lasted for 6 years (till 2015) and has been implemented in the 36 most disadvantaged provinces of the country out of 63 provinces. Around 1770 schools have benefited from this program. The total cost of SEQAP has been 186 million USD. For all schools moving to full-day schooling, SEQAP subsidized the training and the additional working time of teachers and school managers. The support was concentrated on the schools that had 23 periods of instructional time per week only and wished to shift to full-day schooling, especially in the communities of ethnic minorities. According to the Ministry of Education and Training, the number of schools switching to full-day schooling has been growing quickly, with 73 per cent of pupils were attending full-day schooling in primary school in 2012, and 70 per cent of pupils in the poorest districts (Bodewig et al., 2014). The great extension of full-day schooling in recent time, especially for most disadvantaged children, calls for the investigation of its relationship with educational inequality. 3. Data and definitions The data source used in this paper is the School Survey conducted in Vietnam during the school year 2011-2012. This is the dedicated survey of the Young Lives Project, a longitudinal study of childhood poverty in Ethiopia, Peru, India and Vietnam based on 3 Decree No. 596-NĐ dated 30 August 1956 by the Ministry of Education on issuing the Regulation for the 10-year general education enabled the full-day schooling for students in schools having enough number of classrooms, with no further guidance for the implementation of full-day schooling. 4 Decision No. 12/QĐ-BGDĐT dated 4 January 2010 by the Ministry of Education and Training on Approval of the content and decision on investment in the SEQAP; Decision No. 483/QĐ-BGDĐT on approval of Handbook on guidance of implementation and Handbook on financial administration of SEQAP. 5 A multi-donor grant funded program which is co-financed and co-implement by the Government of Vietnam and its partners (World Bank, DFID and Belgium). 5 household surveys of 12,000 children born in 1994-1995 (Older cohort) and 2001-2002 (Younger cohort) in 15 years. Young Lives in Vietnam follows 2000 children in Younger cohort and 1,000 in Older cohort. Although the sampling of the School Survey is not representative of the population in Grade 5 in Vietnam and is pro-poor biased, it covers the diversity of children in the country in a wide variety of attributes and experiences. Indeed, the sampling of the School Survey relies on the one of the Young Lives longitudinal surveys. In these surveys, a sentinel-site sampling design is employed, comprising twenty purposely selected sites chosen to represent diversity, but with a pro-poor bias (Nguyen, 2008). These sites are clustered within five provinces6, each province contains four sites, and each site is formed of one or two communes, totaling 36 communes in all. The selection of sentinel sites followed a complex consultative process with a pro-poor selection rule based on the poverty ranking of each commune. At the site level, children in the Younger cohort were selected randomly in 2001, so that the data are representative of the birth cohort in each site. On this basis, any school that was attended by at least one child of the Younger cohort in Grade 5 in 2011 was included in the school survey sample. The sample of each surveyed child was then expanded by adding 20 of his/her classmates randomly selected for the purpose of school and class level analyses. The School Survey sample consists of 3,284 Grade 5 pupils in 176 classes of 52 schools.7 The Young Lives School Survey 2011 is very suitable source of data to investigate the effect of full-day schooling on inequality of opportunity as it provides rich information on instructional time and on characteristics of schools, principals, teachers and students. Indeed, in addition to students, the survey also interviews their school principals and head teachers. More importantly, students’ academic achievement recorded at two points in time allows the analysis of student’ academic progress. The data are used for the analysis based on the core definitions as follows: Full-day schooling (FDS) According to the data, the availability of FDS to a student could be determined in four ways. Indeed, the school principal, the head teacher and the student him/herself have been directly asked whether FDS is available at the school level, at the class level or for the student respectively. The fourth way to define FDS is to use the number of periods that students have in one week according to the head teacher.8 We retain this last variable for several reasons. First, FDS has been implemented either for a whole school, or some selected classes, or even for some students in one class. Thus, positive answer of the 6 Ben Tre, Da Nang, Hung Yen, Lao Cai and Phu Yen The Young Lives Younger Cohort children included in the School Survey (1,138 children) constitute 57 per cent of the Younger Cohort sample as a whole. For an analysis of the selection bias among Young Lives Younger Cohort due to the fact that those children who were not studying in Grade 5 in the selected sites in 2011–12 are not included in the School Survey, see Rolleston et al. 2013. Due to higher probability of late enrollment or repetition of the most disadvantaged children, the School Survey sample slightly overrepresents more advantaged children in terms of wealth of the Young Lives Younger Cohort. However, this selection bias is compensated by the selection of the classmates. 8 For each day of the week, the head teacher has been asked “How many periods does this grade 5 class have on each of these days?” 7 6 principal on the availability of FDS in the school may hide various situations across classes and do not guarantee that the student into consideration benefits from FDS. To a less extent, the same applies for the teacher’s answer. The student’s answer to the question “Do you attend full-day schooling (two shifts- morning and afternoon)?” can be biased if the student confuses FDS with extra-classes organized by the teacher in the classroom. In addition, these three variables based on direct declaration do not provide a definition which guarantees that students with FDS have longer instructional time than students without FDS. Thus, FDS is defined according to the class timetable reported by the head teacher: a student is considered as attending FDS if the head teacher declares that the student benefit from at least 30 periods per week. The threshold of 30 periods has been retained firstly because it is the minimum required by the government to be considered as full-day schooling. Second, it is the most consistent with the common declaration of the head teacher and the principal. 9 With this definition, 40.5 percent of students benefit from FDS.10 Extra classes Extra classes refer to classes that students take in addition to their formal schooling day. Responses by principals in the survey indicate there were less than 4 percent of the schools which arranged non-compulsory additional classes by the same teacher who taught during the normal schooling day. Head teachers only gave information on their private tuition in general rather than for the students in the class. Hence this study defines extra classes according to the pupils’ declaration on whether they attend unofficial/noncompulsorily extra classes. 11 There are 39 percent of the students who attended extra classes. Learning achievement Student academic achievement is measured by test scores in mathematics and Vietnamese recorded at two points in time, one at the beginning and the other at the end of 9 According to this alternative criterion, FDS is defined when the head teacher’s answer to the question “Do the pupils in your class attend full day schooling?” is “Yes, all pupils attend full day schooling” and the principal’s answer to the question “Does your school offer Full-day schooling to any pupils in Grade 5?” is “yes, all pupils”. When the two criteria are compared, the exclusion errors of the criteria based on 30 periods includes 14% of the students and the inclusion errors only 5%. When the threshold is increased to 35 periods (the targeted objective of the government), exclusion errors include 25% of the students. 10 This proportion differs from the 73% of pupils attending full-day schooling in primary schools according to the Ministry of Education and Training for three main reasons: (i) School Survey sample is propoor biased as mentioned in the description of the data; (ii) only Grade 5 pupils are considered in the School Survey and not all the pupils of primary school as in MOET figures; (iii) definition of full-day schooling may be different in the two sources of data because of the wide variation in FDS practice and of the unclear distinction between formal full-day schooling and informal extra classes. 11 For information on extra classes, the principals are asked “Does your school offer non-compulsory additional classes available outside of the normal school day, provided at an additional charge to any students who wish to participate, on the premises?” and “If yes, are these additional classes taught by the same teachers who teach during the normal school day?”. Teachers are just asked “Do you do private tuition to supplement your income?”. For students, the question is “Do you attend unofficial/non-compulsorily extra classes, whether at school or not?” and “How many hours do you attend classes each week in each of these subjects – Math, Vietnamese and Other subjects”. 7 the school year 2011-2012. Each test is a 45 minute test, which is characterized by 30 multiple-choice items. These tests were designed by the Vietnamese National Institute of Educational Sciences to cover key subject areas of the Grade 5 curriculum. The first tests cover the Grade 4 curriculum to measure learning level at the Grade 5 entry. The second tests reflect G5 curriculum, more advanced G4 questions and common items replicated from the first tests. There are 15 and 12 such common items in the tests and retests in mathematics and Vietnamese respectively.12 This allows transforming the test and retest scores to a common interval scale using IRT.13 The two rounds of tests enable tracking students’ academic achievements during the year. Instructional time Time of instruction that a pupil has received from his/her attendance at formal schooling and extra classes constitutes his/her instructional time. In this study the instructional time is measured by the number of periods per week. Social background The pupils’ social background 14 is measured by a composite index to approximate socioeconomic characteristics of the pupil. Social background level is constructed using information collected in the survey that is related to student’s home and family, including educational levels of parents, the number of meals per day, asset-based factors and factors related to student’s learning environment at home (see detailed description in Table A1 in appendix). Because these factors are categorial variables, the social background index is computed applying the Multiple Correspondence Analysis (MCA). MCA shows that 78 percent of the variation in social background factors is explained by the first dimension (see Table A2 and A3 in Appendix), signaling the justification for using only the first dimension in ranking the levels of student’s social background. Among factors with highest contribution, having computer, internet, air conditioner at home, or having mother or father with higher secondary level of education contribute positively to the index while having no study desk, no study chair, no study lamp, or no study place contribute negatively. In other words, the higher the index, the higher the socio-economic status of the student. The average social background indexes of students having these factors are highlighted in Table 1. Distribution of social background index is provided in the Figure B1 in Appendix. 12 See (Rolleston et al., 2013) for detailed description of the tests Item Response Theory is “the model-based measurement in which trait level estimates depends on both person’s responses and the properties of the items that were administered” (Embretson & Reise, 2000) 13 14 Also referred to as family background or socio-economic status in relevant empirical literature 8 Table 1: Average social background indexes of students with selected factors Characteristic No Yes A computer at home -0.3646 1.1969 *** Internet at home -0.3030 1.3198 *** Air conditioner at home -0.1887 1.4459 *** Mother completed higher secondary education -0.2718 0.8708 *** Father completed higher secondary education -0.2937 0.7821 *** A study desk at home -1.6068 0.2175 *** A study chair at home -1.5065 0.2105 *** A study lamp at home -0.9590 0.3594 *** Own place to study at home -1.0483 0.2637 *** Source: Authors' calculations based on the YLs School Survey 2011 Note: difference significant at 1% (***), 5% (**), 10%(*) 4. Does FDS reduce the gap in instructional time between students with different social background? Through the lengthened school day, FDS may raise instructional time for children from low social background while keeping the time constant for high social background children who should substitute full-day schooling for extra-classes instructional time. Calculations from the data show that instructional time is still low in Vietnam and that the objective of the government to reach 35 periods per week is fulfilled only for the most advantaged quintile of students (Figure 1). In addition, the instructional time increases with the level of social background and the gap in instructional time across social background is still huge. On average the students from the first quintile of social background have only 29 periods per week, while the figure for the highest social background is 40. 9 Figure 1: Instructional time across quintile of social background 40 No of periods per week 38 36 34 32 30 28 26 Q1 Q2 Q3 Q4 Q5 Quintle of Social background Source: Authors' calcula ons based on the YLs School Survey 2011 This is firstly because students of higher social background have better access to FDS (Figure 2). Less than one quarter of students with the most disadvantaged social background (quintile 1) benefit from the FDS. This proportion is twice as large for the 40 percent of students with the highest social background (quintiles 4 and 5). Thus, despite the implementation of the School Education Quality Assurance Program, students with low social background are still lagging behind in the access to the FDS. Poor targeting of SEQAP may partially explain the remaining low access to FDS for disadvantaged children. Indeed, our data shows that 86 percent of students from quintile 1 have not benefitted from SEQAP, while more than half (57 percent) of students in SEQAP belongs to the three most advantaged quintiles of social background (Table 2).15 Table 2: Access to SEQAP schools by social background Quintile of social background Q1 Q2 Q3 Q4 Q5 Total Obs Non-SEQAP school 19.92 19.64 19.22 19.78 21.44 100 2 841 SEQAP school 20.54 22.57 25.51 21.22 10.16 100 443 Source : Authors’ calculations based on the YLs School Survey 2011 15 The principals have been asked in the School Survey whether their school or their commune is, or has ever been part of SEQAP. 10 Figure 2: Access to FDS across quintile of social background Non FDS FDS 80% Percentage of students 70% 60% 50% 40% 30% 20% 10% 0% Q1 Q2 Q3 Q4 Q5 Quintile of social background Source: Authors' calculations based on the YLs School Survey 2011 The second reason explaining the gap in instructional time across social background relies on the attendance of well-off students in extra classes. Children with positive social background index, which correspond more or less to the two highest quintiles of social background, are more likely to attend both extra classes and FDS than attending only FDS (Figure 3). For these children, there is no substitution between FDS and extra-classes as expected. At the bottom of the social ladder, the likelihood to attend half-day schooling only is the highest, while the attendance in only FDS is observed at lower proportion than the attendance in extra classes. For intermediary levels of social background (the third quintile), FDS without extra classes is the most common scheme. Thus, types of schooling differ widely across social background. As each type of schooling is associated with different instructional time, the gap in instructional time remains. Indeed, Figure 4 shows that FDS and extra classes together provide the highest instructional time of nearly 45 periods per week, which is 79 percent higher than only halfday schooling (with neither FDS nor extra classes). It is evident that FDS helps to limit the students’ lack of instructional time. By attending FDS, students have an increase of 35 percent in instructional periods in comparison with half-day schooling. However, extra classes go with higher instructional time for students than FDS. Extra classes increase the instructional time by 48 percent, which is 13 points of percentage stronger than for FDS. It appears from Figure 4 that FDS only partially narrows down the gap in instructional time of students from different level of social background. 11 Figure 3: Distribution of student social background by schooling type Source: Authors’ calculations based on the YLs School Survey 2011 A third reason why instructional time still highly differs across social background could be due to the large variations of the amount of additional time included in FDS. Figure 4 also examines the number of periods embedded in each type of schooling for each quintile of social background index in order to assess whether time related to FDS is the same for children with different social background. It shows that this third explanation does not hold up under scrutiny. Indeed, the number of periods of those attending only FDS is almost the same for each quintile of social background index. Only the amount of periods related to extra-classes increases with the level of social background. In sum, FDS does narrow down the differences in instructional time from attending extra classes, but still does not nullify the gap. Since well-off students have higher access to both FDS and extra classes, students with low social background lag behind in the number of instructional hours. 12 Figure 4: Mean instructional time across schooling types, whole sample and by student social background Without FDS & EC Without FDS & with EC With FDS & without EC With FDS and EC 50 Number of periods per week 45 40 35 30 25 20 15 10 5 0 Whole Q1 Q2 Q3 Q4 Q5 Quin le of social background Source: Authors' calcula ons based on the YLs School Survey 2011 5. Do students from different social background have the same access to resources devoted to full-day schooling? The implementation of FDS requires the enhancement of school resources to ensure that FDS is functioning and can be translated into learning achievement. It is thus important to know whether FDS goes hand in hand with more resources at the school level and whether these resources are equally distributed according to the socio-economic background of the children. Additional resources mostly include school infrastructures like new or rehabilitated classrooms, class facilities and incremental teacher salaries to cover the additional workload. SEQAP also provides teacher and school principal with trainings to improve teaching and management practices. Therefore, the definition of school resources is limited here to school infrastructure, class and school facilities, and teacher and principal qualification and experience. Additional teacher salaries are already reflected in the instructional time. Table 3 shows the higher level in almost all aspects of school resources when FDS is available. Students with FDS have better access to facilities both at school and class levels compared to students without FDS. This is especially true for resources related to infrastructures: the needs for major repairs of the school halve for students with FDS; the proportion of students with access to clean drinking water is nearly five times higher with 13 FDS but still remain low, showing that it is not a common standard of schools in Vietnam; most of the FDS students have latrines. School and class facilities are also higher. The likelihood to have a library at school is 1.4 times higher for students with FDS. The ones to access to computer or to internet are almost two times higher with FDS. Classes with FDS are more often furnished with modern facilities like TV or electric fan. However, these facilities are not encompassed in the specifications of FDS. It thus may reflect the selfselection process in the implementation of FDS rather than an improvement of facilities due to FDS: schools with higher resources and financial contribution of the families are more likely to have implemented FDS. Table 3: Frequency of students with school resources – FDS vs. Non-FDS (%) School facilities No FDS Class facilities No FDS FDS Major repairs needed 29,9% 12,1% *** Black board or white board 99,0% 100,0% *** Separate room for G5 96,8% 97,0% Wall map 70,7% 67,8% * Have library 64,4% 89,3% *** Teacher's cabinet 83,1% 92,4% *** Computers for students 32,1% 55,9% *** Teacher’s desks 98,4% 100,0% *** Internet for students 28,3% 51,4% *** Sufficient electric lights 96,0% 98,5% *** Electricity 95,1% 100,0% *** Electric fan 87,0% 97,0% *** Working electricity today 91,9% 95,5% *** TV 4,1% 15,1% *** Latrines for students 87,1% 98,5% *** Video player or DVD 1,0% 0,0% *** Separate latrines for boys/girls 83,6% 87,9% *** Radio 3,0% 0,0% *** 5,8% 32,0% *** Overhead projector 7,0% Computer 6,1% 16,6% *** 69,3% 84,2% *** Clean drinking water for students FDS Books other than text books Principal No FDS Teacher FDS No FDS 6,0% FDS Years of education 19,8 20,5 *** Years of education 18,9 19,1 *** Years of working in school 25,9 25,5 Years of teaching 18,5 16,1 *** 31,2% 55,9% In-service training for more than 15 days *** In-service training for more than 5 days 49,0% 55,1% Source: Authors' calculations based on the YLs School Survey 2011 Note: difference significant at 1% (***), 5% (**), 10%(*) The training qualification measured by the number of years of education16 or by the inservice training of both principals and head teachers are higher for students with FDS than for others, but the difference is very slight. In addition, teachers or principals are not more experienced when FDS is implemented. Thus, FDS students have access to better school resources than the non-FDS group. But are these resources equally distributed across students benefiting with FDS but with different social background? To answer this question, we created two indexes to synthetize the 16 The number of years of education refers to the sum of the number of years for obtaining the highest level of general education completed and the number of years for obtaining the highest level teacher training qualification received. 14 *** information on school facilities and class facilities by using MCA analysis.17 The higher values of these indexes, the more facilities the student has access to in his/her school and class. Figure 5: School resources across social background level for students attending FDS A. Facilities B. Principals and Teachers 28.00 0.70 School facilities 0.60 26.00 Class facliities Principal's years of working 24.00 0.40 Year Index 0.50 0.30 22.00 Principal's years of education 20.00 Teacher's years of education 0.20 18.00 0.10 Years being teacher 16.00 0.00 Q1 Q2 Q3 Q4 Q5 14.00 -0.10 Q1 Q2 Q3 Q4 Q5 Level of social background Level of social background Source: Authors' calculations based on the YLs School Survey 2011 Figure 5 shows the upward trend of school and class facilities across social background – the higher the level of social background of the students, the higher the level of school and class facilities they have access to. In addition, more advantaged social background also allows students to access teachers with higher education level: on average, students in the lowest quintile of social background are faced with teacher with one year of education less than students in the highest quintile of social background. On the other hand, no correlation is found between experience of teacher or principal and social background, nor between social background and education level of the principal. These results show that students are sorted into classes or school with different level of resources according to their social background, and more importantly, that FDS does not counteract this selection process. Thus, FDS does not overcome inequality of opportunity in accessing resources that has been already observed by VASS (2012) and Hoang et al. (2012). 6. Does the effect of full-day schooling on learning achievement vary across social background? This section tests whether the students of disadvantaged social background have higher learning progress from attending FDS than the advantaged group. We estimate a Valueadded (VA) model where the test scores of students measured at the end of the academic year are regressed by the test scores at the beginning of the academic year and by interaction terms between FDS dummy and social background index. To reduce inequality 17 See detailed MCA results in Table A4 to Table A9 in Appendix. 15 of opportunity in learning achievement, the positive effect of FDS on learning progress should be higher for children from disadvantaged social background. More precisely, we estimate Value-added model using Ordinary Least Square (OLS). Value-added models were initially developed to identify the contribution of school and teacher characteristics to student achievement. These models are derived from a structural “education production function” in which learning achievement is modeled as a function of child, family and schooling inputs, and where learning is viewed as both dynamic and cumulative process. Empirical estimation of this function raises difficulties due to the lack of information regarding past inputs and due to the non-random assignment of students to schools and teachers. Value-added models circumvent these difficulties by assessing the difference in the learning achievement of student at the beginning and the end of an academic year. Given that achievement is produced by a combination of the student’s innate ability and all inputs accumulated until the time of reference, the model links current student learning outcome to current educational inputs and lagged outcome, which is assumed to capture all educational inputs in the past as innate ability of the students. As a result, VA models have been widely used to deal with bias due to omitted past educational inputs and time-invariant unobserved characteristics of the children as innate ability (Mizala & Romaguera, 2002; Todd & Wolpin, 2007; Guarino et al., 2015). Applying the review of Mizala & Romaguera (2002) and Todd & Wolpin (2007) on VA model, a retest score in Math or Vietnamese of student i is a function of a vector of current educational inputs , a dummy on full-day schooling , the lagged test score and a residual that sums up unobservable factors as follows: = + + + , (1) Cunha and Heckman (2009) additionally provide empirical evidence on crossproductivity effects of skills, in other words different skills substitute for each other. This feature implies ability in Math might contribute to ability in Vietnamese and vice versa, so (1) can be specifically expressed as: = = + + + + + , , + + , , + (2) (3) in which the subscripts M and V stand for Mathematics and Vietnamese respectively, and other symbols hold the same meaning as in (1). Because the implementation of FDS is not random and may depend on unobserved characteristics of schools and students, the coefficients and of FDS might be biased. The problem of self-selection comes from the unavailability of school or student-related factors that are correlated with both FDS and learning achievement. For example, students with high motivation or ability are more likely to choose FDS schools and in the meantime to have better achievement. The same holds true at the school level if schools which choose to implement FDS are for example the most dynamic schools or schools where parents are highly involved. The introduction of the lagged test scores in the right-hand side of the equation controls for grouping and assignment mechanisms as far as those grouping mechanisms are correlated with prior achievement (Guarino et al. 2015). In other words, and coefficients are unbiased if two students with the same test scores will obtain the same retest scores, regardless of their unobserved characteristics, and school-related 16 unobserved characteristics. Although this is a strong assumption, we expect that potential bias in case this assumption is not verified will be mitigated by the introduction of variables on school resources (school facilities, class facilities, qualification of teacher and principal) and of social background variables. These variables may partially capture the heterogeneity of schools and students that could impact the dynamic of learning between the test and the retest. However, self-selection bias due to time-varying unobserved characteristics might remain in theory as in other studies that do not rely on randomized trial in the implementation of instructional time lengthening policies. Therefore, the coefficients and of FDS should be interpreted as the association between learning progress and FDS and not as causal inference. We estimate first equations (2) and (3) by defining the vector of current educational inputs as the characteristics of student and his/her family including student’s gender, ethnicity, level of social background, number of siblings, number of older siblings, location (urban/rural area), and school and class inputs including student’s attendance in FDS, school and class facilities, qualification and experience of teacher and principal. The corresponding models are labeled as Model (1). Description of the variables is provided in Appendices, Table A10. The heterogeneity in the effect of FDS on student achievement for students from different level of social background could be addressed by including interaction terms between explanatory variables in the achievement production function. Therefore the interaction term between student social background and FDS will be added as additional variables of the VA model to enable examining how the effect of FDS on learning progress differs across levels of social background. The corresponding models are labeled as Model (2). The OLS estimation results of VA models (1) and (2) are shown in Table 4. The first two columns provide the estimation results for Mathematics, and the remainder for Vietnamese. The results of the test for multicollinearity reject the null hypotheses that there are such problems in models (1) (see Appendices, Table A11). Robustness check is also conducted to test whether the coefficients and of FDS are sensitive to the introduction of school facilities, and class facilities. The model appears to be robust to these changes of specification (Appendices, Table A12). 17 Table 4: Estimation results of VA model of learning achievement (OLS) Retest scores in Math (1) Attend FDS Social background -22.3391*** -23.6983*** Minority Number of siblings (1) (2) -24.0159*** -25.7633*** (3.0526) (3.0886) (3.3296) (3.4054) 1.9378** -1.0720 10.3063*** 6.4459*** (1.7651) (2.2009) (1.9301) (2.3087) FDS x Social background Boy (2) Retest scores in Vietnamese 8.2084*** 10.4311*** (3.1412) (3.4457) 0.0605 -0.2938 -16.5946*** -17.0314*** (2.8028) (2.8088) (3.0015) (3.0008) 15.9974*** 13.7276*** 18.9412*** 16.0769*** (4.9736) (5.0364) (5.5608) (5.5893) 1.5408** 1.1337 4.1751* 3.6666* (1.9191) (1.9255) (2.0550) (2.0643) -5.8800*** -6.2354*** -2.0808** -2.4922** (1.7920) (1.8039) (1.9146) (1.9137) 0.5542*** 0.5553*** 0.0464*** 0.0479*** (0.0181) (0.0181) (0.0172) (0.0171) 0.0481*** 0.0458*** 0.4100*** 0.4071*** (0.0166) (0.0166) (0.0186) (0.0187) 6.5002*** 6.6914*** 2.2217** 2.4601** (1.3600) (1.3619) (1.5338) (1.5391) Class facilities 6.9425*** 7.3009*** 2.9253** 3.4010* (1.6745) (1.6828) (1.8536) (1.8554) Teacher's years of education 0.7100** 0.6276** 2.9808*** 2.8771*** (0.6566) (0.6568) (0.7803) (0.7753) Urban areas -10.1042*** -10.7194*** -8.0587* -8.8391* (3.7740) (3.7868) (4.0084) (4.0204) Constant 250.2823*** 254.0716*** 253.2825*** 257.9335*** (17.7477) (17.7534) (19.3574) (19.3427) Number of observations 3 080 3 080 3 081 3 081 Adjusted R2 0.392 0.393 0.277 0.279 Number of older siblings Math test score Vietnamese test score School facilities Note: standard error in parentheses; *** p<0.01, ** p<0.05, * p<0.1 Source: Authors' calculations based on the YLs School Survey 2011 18 Figure 6: Average marginal effects with 95% Confidence Intervals For both Math and Vietnamese, attending FDS does not mean higher learning progress ceteris paribus, and even it is negatively and significantly associated with learning progress. Compared to students attending FDS, students not in FDS but with same observable characteristics have 22 and 24 points more in their retest scores in Math and Vietnamese respectively (Table 4, Models (1)). This result goes against the evidence found in other contexts (Holland et al. 2015, Orkin 2013). Several reasons may explain the negative effect of FDS in this paper. First, learning progress is measured through tests in Mathematics and Vietnamese. Yet, the increase of instructional time due to FDS is very weak in these subjects: it includes only 1.5 and 1.7 additional periods per week in Vietnamese and Mathematics respectively, and these two subjects account for around one third of the total increase of instructional time (Erreur ! Source du renvoi introuvable. in Appendix). Thus, measuring learning progress in Vietnamese and Mathematics only may largely underestimate the positive effect of FDS on learning achievement. Second, the implementation of FDS may have side effect on the learning in these subjects: children may lose concentration by spending all the day at school if the curricula is not adapted to this change; additional instruction time may crowd out the time spent by the teacher with/for the students out of the teaching time (interactions with parents, revision of homework, etc.). While these hypotheses are difficult to test, Erreur ! Source du renvoi introuvable. in Appendix shows some evidence supporting them: teachers with FDS complain much more about major problem in their class than teachers without FDS and they interact less with the parents. In addition, Models (2) show that the coefficients of interaction between FDS and social background are positive and significant: for each unit increase in the social background index, FDS students with same observable characteristics have 8 and 10 points more in their retest scores in Math and Vietnamese respectively, holding other things constant. As illustrated in Figure 6, FDS is negatively associated with learning progress for students with low social background only. For student with an index of social background higher than 1, which more or less corresponds to the fifth quintile of students, there is no significant difference between FDS and non FDS students in terms of learning progress. 19 This result suggests that FDS contributes to inequality of opportunity in education, because its conditions of implementation may be more detrimental to students with low social background than for the well-off students. As an illustration, the lower the social background is, the lesser the increase of instructional time in Vietnamese and Math (Erreur ! Source du renvoi introuvable. in Appendix). However, as the selection process in FDS implementation is not perfectly controlled for in our estimates, it may also be interpreted as unobserved heterogeneity of students that is not compensated by the increase of instructional time. It could be so if students with low social background and who benefit from FDS are more likely to face shocks that affect their learning progress but that are not captured by their initial score than students without FDS or students with higher social background. Whatever the interpretations of these results, they show that FDS did not provide students with low social background with enough additional instructional time or with enough resources to compensate their disadvantage in learning progress compared to better-off students. Estimation results also depict the significantly positive correlation between other school resources and learning progress. The correlation is probably due to the selection into schools with better resources of the high social background students. Students with access to better school and class facilities have higher learning progress. Students taught by higher qualified teachers often obtain higher learning progress. With same observable characteristics as the majority students, the students of ethnic minorities have higher learning progress. The ethnic gap in scores is averaged at 14 to 16 points for the retest scores in Math and 16 to 19 points for Vietnamese. This matches what was observed in Rolleston et al., (2013) on more learning progress of the ethnic minority students. The reason might be attributed to the lower starting point of the minorities, which leaves them more room for making progress than that of the majority. Holding other things equal, boys seem to have lower progress in Vietnamese than girls. For each additional older sibling of a student, he/she has six and two points less in their retest scores in Math and Vietnamese. This might be a consequence of the lower level of parental investment or care devoted to him/her. Moreover, students living in rural areas obtain more learning progress than urban group. The situation is probably due to the same reason for ethnic gap in retest scores: the rural students have more room for progress then the urban ones. In addition, both the self-productivity and cross-productivity effects are observed from the estimation results as the retest score of one subject is positively correlated with the test score of both the subject and the other subject. 7. Conclusions and discussion FDS has been applied initially to deal with the current lack of instructional time. By increasing instructional time, FDS should help to move forwards higher quality of education. FDS may also help to restrict the negative effects of widespread extra classes in Vietnam on inequality of opportunity in education. However, these two objectives have not been reached yet: learning progresses are not better with FDS and the gap between children with different social background remains high although they benefit from FDS. 20 As the nature of a transition process, the implementation of FDS has been varyingly conducted to adapt to the physical and human resources of the schools. These resources mainly rely on the affordability of communities and families. Consequently, the instructional time still varies a great deal among FDS students. FDS still supplies students with less instructional time than the extra classes do. In other words, the number of periods provided for FDS students does reduce, but not enough to cancel out, the gap in instructional time by attending extra classes. The inequality of opportunity is apparent among students for the two following results. Firstly, students from advantaged social background seem to attend both FDS and extra classes. In addition, the increase of instructional time in Mathematics and Vietnamese due to FDS is not equally distributed across students, and students with low social background are disadvantaged in this respect. Both imply disparities in instructional time between students from different levels of social background. Secondly, the extent to which students access to more well-equipped school and class facilities, more qualified and more experienced teachers rises with student social background level. Briefly speaking, FDS students with low social background have lower access to school resources compared with their counterparts from more advantaged social background. Estimation results do not provide evidence on the positive relationship between FDS and learning progress. At this stage of implementation, it appears that FDS has not reduced the inequality of opportunity in learning achievement. On the contrary, it seems to magnify the effect of social background on learning progress, thereby widening the gap in learning achievement. This above evidence gives hints of policy for the implementation of FDS towards the target of educational equality in Vietnam. First of all, it is important to introduce a more coherent regulation of FDS. The regulation should guarantee the same instructional time to all the students. But additional school resources, training and adapted curricula should be provided to limit reverse side effects of increasing the instructional time. Secondly, the support on FDS should be extended to the students of social background disadvantage to compensate for their gaps in instructional time from the students with higher social background. Finally, since current FDS in essence is private tutoring at a lower cost, the universal coverage of free FDS should be advocated in the long term to deal with the inequality of opportunity in education. 21 Acknowledgement This paper has received funding from the Privatisation in Education Research Initiative (PERI, http://www.periglobal.org/) and from the NOPOOR project (www.nopoor.eu) under the FP7 of the European Commission. The authors would like to thank anonymous reviewers for their comments on earlier drafts of the paper. References Biernat, L. (2011). Reducing the Achievement Gap: There is Only One Real Solution. SSRN Electronic Journal. http://doi.org/10.2139/ssrn.1936041 Bodewig, C., Badiani-Magnusson, R., Macdonald, K., Newhouse, D., Rutkowski J. (2014). Skilling up Vietnam: preparing the workforce for a modern market economy. Washington, DC: World Bank. Cabrera-Hernandez, F. (2015). Does lengthening the school day increase students’ academic achievement? 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Tables Table A1: Descriptions of variables used for the social background index Variable name Mother's educational level Father's educational level Number of meals per day Home possession A television at home A radio at home An electric fan at home A mobile phone at home A bicycle at home A motorcycle at home A car at home Air conditioner at home A study lamp at home A study desk at home A study chair at home A pocket calculator at home Own place to study at home Number of books in the home A computer at home Internet at home Category Primary or less Lower secondary Higher secondary Primary or less Lower secondary Higher secondary 1 2 3 or more No Yes No Yes No Yes No Yes No Yes No Yes No Yes No Yes No Yes No Yes No Yes No Yes No Yes None 1 to 5 6 to 10 More than 10 No Yes No Yes Proportion (%) 53.12 23.15 23.73 52.02 20.73 27.25 0.31 16.57 83.12 5.39 94.61 73.45 26.55 10.93 89.07 8.65 91.35 14.40 85.60 10.99 89.01 91.93 8.07 88.92 11.08 27.83 72.17 12.33 87.67 12.70 87.30 68.33 31.67 20.20 79.80 20.68 20.28 13.57 45.47 77.13 22.87 81.79 18.21 Source: Authors' calculations based on the YLs School Survey 2011 24 Table A2: MCA for Social background index Dimension Principal inertia Cummulation percent 78.31 78.31 Percent dim1 0.033287 dim2 0.003861 9.08 87.40 dim3 0.000396 0.93 88.33 dim4 0.000127 0.30 88.62 dim5 0.000058 0.14 88.76 dim6 0.000005 0.01 88.77 dim7 0.000001 0.00 88.78 dim8 0.000000 0.00 88.78 Total 100.00 0.042505 Source: Authors' calculations based on the YLs School Survey 2011 Table A3: MCA Statistics of columns – Social background index mass Mother's educational level Primary or less 0.0279 Lower secondary 0.0122 Higher secondary 0.0125 Father's educational level Primary or less 0.0274 Lower secondary 0.0109 Higher secondary 0.0144 Number of meals per day 1 0.0002 2 0.0087 3 or more 0.0438 A television at home No 0.0027 Yes 0.0499 A radio at home No 0.0387 Yes 0.0140 An electric fan at home No 0.0057 Yes 0.0469 A telephone at home No 0.0045 Yes 0.0481 A bicycle at home No 0.0076 Yes 0.0451 A motorcycle at home No 0.0057 Yes 0.0469 A car at home No 0.0484 Yes 0.0042 Air conditioner at home No 0.0467 Yes 0.0059 A study lamp at home No 0.0146 Yes 0.0380 A study desk at home No 0.0064 Yes 0.0462 A study chair at home No 0.0066 Yes 0.0460 A pocket calculator at home No 0.0358 Yes 0.0168 Own place to study at home No 0.0107 Yes 0.0420 Number of books in the home None 0.0109 1 to 5 0.0106 6 to 10 0.0072 More than 10 0.0240 A computer at home No 0.0405 Yes 0.0121 Internet at home No 0.0430 Yes 0.0096 Source: Authors' calculations based on the YLs School Survey 2011 Overall quality 0.7307 0.4128 0.8274 0.7056 0.3878 0.8182 0.3561 0.9319 0.9314 0.9232 0.9232 0.9904 0.9904 0.9672 0.9672 0.9145 0.9145 0.9547 0.9547 0.9067 0.9067 0.9067 0.9067 0.8952 0.8952 0.9363 0.9363 0.8423 0.8423 0.8621 0.8621 0.9758 0.9758 0.9234 0.9234 0.9778 0.8872 0.6487 0.9779 0.8434 0.8434 0.8339 0.8339 %inert 0.0216 0.0093 0.0441 0.0203 0.0086 0.0404 0.0004 0.0059 0.0012 0.0338 0.0019 0.0061 0.0168 0.0294 0.0036 0.0214 0.0020 0.0195 0.0033 0.0238 0.0029 0.0021 0.0240 0.0073 0.0573 0.0505 0.0194 0.0759 0.0105 0.0670 0.0096 0.0142 0.0302 0.0477 0.0121 0.0305 0.0032 0.0014 0.0173 0.0241 0.0802 0.0182 0.0811 coord 0.8489 -0.0537 -1.8465 0.8179 0.1328 -1.6595 1.1020 0.8832 -0.1792 3.5435 -0.1951 0.4399 -1.2181 2.3915 -0.2899 2.2753 -0.2125 1.5931 -0.2676 2.1655 -0.2642 0.1983 -2.2658 0.3865 -3.0500 1.9943 -0.7668 3.3351 -0.4611 3.1183 -0.4475 0.6911 -1.4730 2.2064 -0.5615 1.8304 0.3556 -0.1655 -0.9381 0.7595 -2.5308 0.6273 -2.7951 Dimension 1 sqcorr 0.7302 0.0030 0.7553 0.7053 0.0176 0.7660 0.3559 0.8948 0.8961 0.7996 0.7996 0.9659 0.9659 0.8672 0.8672 0.8509 0.8509 0.7710 0.7710 0.8823 0.8823 0.7088 0.7088 0.7530 0.7530 0.9008 0.9008 0.7338 0.7338 0.7503 0.7503 0.9462 0.9462 0.8542 0.8542 0.9357 0.3238 0.1099 0.9563 0.7601 0.7601 0.7277 0.7277 contrib 0.0201 0.0000 0.0425 0.0183 0.0002 0.0395 0.0002 0.0068 0.0014 0.0345 0.0019 0.0075 0.0207 0.0325 0.0039 0.0233 0.0022 0.0192 0.0032 0.0268 0.0033 0.0019 0.0217 0.0070 0.0551 0.0581 0.0224 0.0711 0.0098 0.0642 0.0092 0.0171 0.0365 0.0520 0.0132 0.0364 0.0013 0.0002 0.0211 0.0233 0.0778 0.0169 0.0754 coord 0.0645 -1.8530 1.6746 0.0469 -1.7880 1.2709 0.0684 -0.5282 0.1045 4.0906 -0.2252 -0.2059 0.5702 2.3840 -0.2890 1.8269 -0.1707 2.2831 -0.3835 1.0576 -0.1290 -0.3076 3.5153 -0.4932 3.8922 1.1621 -0.4468 3.7660 -0.5207 3.5351 -0.5074 -0.3589 0.7649 1.8440 -0.4693 1.1403 -1.3771 -1.0757 0.4145 -0.7382 2.4600 -0.7034 3.1345 Dimension 2 sqcorr 0.0005 0.4098 0.0721 0.0003 0.3702 0.0521 0.0002 0.0371 0.0353 0.1236 0.1236 0.0246 0.0246 0.1000 0.1000 0.0636 0.0636 0.1837 0.1837 0.0244 0.0244 0.1979 0.1979 0.1422 0.1422 0.0355 0.0355 0.1085 0.1085 0.1118 0.1118 0.0296 0.0296 0.0692 0.0692 0.0421 0.5634 0.5388 0.0217 0.0833 0.0833 0.1062 0.1062 contrib 0.0001 0.0420 0.0350 0.0001 0.0349 0.0232 0.0000 0.0024 0.0005 0.0460 0.0025 0.0016 0.0045 0.0323 0.0039 0.0150 0.0014 0.0395 0.0066 0.0064 0.0008 0.0046 0.0523 0.0114 0.0897 0.0197 0.0076 0.0907 0.0125 0.0826 0.0118 0.0046 0.0098 0.0363 0.0092 0.0141 0.0201 0.0083 0.0041 0.0221 0.0735 0.0213 0.0948 25 Table A4: MCA for School facilities index Principal Cummulation Percent inertia percent dim1 0.043530 62.92 62.92 dim2 0.007214 10.43 73.35 dim3 0.000758 1.10 74.44 dim4 0.000030 0.04 74.49 Total 0.069183 100.00 Source: Authors' calculations based on the YLs School Survey 2011 Dimension Table A5: MCA Statistics of columns - School facilities index mass Major repairs needed No 0.0814 Yes 0.0186 Separate room for G5 No 0.0022 Yes 0.0978 Have library No 0.0230 Yes 0.0770 Computers for students No 0.0580 Yes 0.0420 Internet for students No 0.0601 Yes 0.0399 Electricity No 0.0008 Yes 0.0992 Working electricity today No 0.0042 Yes 0.0958 Latrines for students No 0.0028 Yes 0.0972 Separate latrines for boys/girls No 0.0117 Yes 0.0883 Clean drinking water for students No 0.0817 Yes 0.0183 Source: Authors' calculations based on School Survey 2011 Overall quality 0.8740 0.8740 0.6273 0.6273 0.8092 0.8092 0.7155 0.7155 0.7197 0.7197 0.5742 0.5742 0.6756 0.6756 0.7740 0.7740 0.7851 0.7851 0.6327 0.6327 %inert 0.0036 0.0156 0.0207 0.0005 0.1206 0.0361 0.0955 0.1320 0.0878 0.1320 0.0434 0.0004 0.0535 0.0024 0.0611 0.0018 0.1270 0.0169 0.0091 0.0403 coord 0.1804 -0.7906 -2.8603 0.0656 -2.5556 0.7646 -1.3108 1.8113 -1.2377 1.8608 -5.6986 0.0468 -3.1637 0.1391 -4.7584 0.1380 -3.5429 0.4703 0.0430 -0.1915 Dimension 1 sqcorr 0.4688 0.4688 0.5569 0.5569 0.7846 0.7846 0.6567 0.6567 0.6592 0.6592 0.3842 0.3842 0.4958 0.4958 0.6570 0.6570 0.7290 0.7290 0.0105 0.0105 contrib 0.0026 0.0116 0.0183 0.0004 0.1504 0.0450 0.0997 0.1377 0.0920 0.1383 0.0265 0.0002 0.0422 0.0019 0.0638 0.0019 0.1471 0.0195 0.0002 0.0007 coord 0.4120 -1.8052 2.4969 -0.0573 1.1102 -0.3322 -0.9637 1.3318 -0.9215 1.3854 9.8453 -0.0809 4.6798 -0.2058 4.9329 -0.1431 2.4155 -0.3206 0.8132 -3.6204 Dimension 2 sqcorr 0.4052 0.4052 0.0703 0.0703 0.0245 0.0245 0.0588 0.0588 0.0606 0.0606 0.1900 0.1900 0.1798 0.1798 0.1170 0.1170 0.0562 0.0562 0.6222 0.6222 contrib 0.0138 0.0605 0.0140 0.0003 0.0284 0.0085 0.0539 0.0745 0.0510 0.0767 0.0790 0.0006 0.0922 0.0041 0.0686 0.0020 0.0684 0.0091 0.0540 0.2404 Table A6: School facilities index by facility Facility No Yes Major repairs needed -0.0087 -0.6770 Separate room for G5 -2.3537 -0.0924 Have library -1.6952 0.3552 Computers for students -0.9065 0.8829 Internet for students -0.8651 0.9841 Electricity -3.8004 -0.0540 Working electricity today -2.5800 0.0094 Latrines for students -2.7507 0.0675 Separate latrines for boys/girls -1.5159 0.2523 Clean drinking water for students -0.1639 -0.1592 Source: Authors' calculations based on the YLs School Survey 2011 26 Table A7: MCA for Class facilities index Dimension Principal inertia Percent Cummulation percent 50.60 62.63 69.01 69.06 69.06 dim1 0.013994 50.60 dim2 0.003327 12.03 dim3 0.001765 6.38 dim4 0.000013 0.05 dim5 0.000000 0.00 Total 0.040056 100.00 Source: Authors' calculations based on the YLs School Survey 2011 Table A8: MCA Statistics of columns - Class facilities index Overall mass quality Black board or white board No 0.0005 0.1064 Yes 0.0828 0.1064 Wall map No 0.0252 0.8983 Yes 0.0581 0.8983 Teacher's cabinet No 0.0109 0.8406 Yes 0.0725 0.8406 Teacher’s desks No 0.0008 0.7895 Yes 0.0825 0.7895 Sufficient electric lights No 0.0025 0.7803 Yes 0.0809 0.7803 Electric fan No 0.0074 0.8269 Yes 0.0759 0.8269 TV No 0.0762 0.4830 Yes 0.0071 0.4830 Video player or DVD No 0.0828 0.1064 Yes 0.0005 0.1064 Radio No 0.0819 0.5150 Yes 0.0015 0.5150 Overhead projector No 0.0779 0.3372 Yes 0.0055 0.3372 Computer No 0.0748 0.5498 Yes 0.0086 0.5498 Books other than text books No 0.0209 0.7757 Yes 0.0624 0.7757 Source: Authors' calculations based on School Survey 2011 %inert 0.0304 0.0002 0.0345 0.0150 0.0976 0.0146 0.0669 0.0007 0.1174 0.0036 0.0696 0.0068 0.0121 0.1293 0.0002 0.0304 0.0001 0.0051 0.0064 0.0907 0.0191 0.1665 0.0621 0.0208 coord 1.1121 -0.0068 -1.5174 0.6596 -3.8067 0.5705 -10.5465 0.1038 -8.1539 0.2482 -3.8683 0.3789 -0.3096 3.3218 -0.0068 1.1121 -0.0113 0.6281 -0.1575 2.2489 -0.4096 3.5701 -2.0254 0.6795 Dimension 1 sqcorr 0.0105 0.0105 0.8529 0.8529 0.8157 0.8157 0.6831 0.6831 0.7057 0.7057 0.8086 0.8086 0.3067 0.3067 0.0105 0.0105 0.0573 0.0573 0.1540 0.1540 0.3323 0.3323 0.6995 0.6995 contrib 0.0006 0.0000 0.0581 0.0253 0.1574 0.0236 0.0903 0.0009 0.1636 0.0050 0.1113 0.0109 0.0073 0.0784 0.0000 0.0006 0.0000 0.0006 0.0019 0.0276 0.0125 0.1093 0.0859 0.0288 coord 6.9081 -0.0423 0.7181 -0.3121 1.3636 -0.2043 8.5399 -0.0840 5.4397 -0.1656 1.1921 -0.1168 -0.4814 5.1643 -0.0423 6.9081 0.0655 -3.6405 -0.3525 5.0323 -0.6796 5.9237 1.3712 -0.4600 Dimension 2 sqcorr 0.0959 0.0959 0.0454 0.0454 0.0249 0.0249 0.1065 0.1065 0.0747 0.0747 0.0183 0.0183 0.1762 0.1762 0.0959 0.0959 0.4577 0.4577 0.1833 0.1833 0.2175 0.2175 0.0762 0.0762 contrib 0.0242 0.0001 0.0130 0.0057 0.0202 0.0030 0.0592 0.0006 0.0728 0.0022 0.0106 0.0010 0.0177 0.1895 0.0001 0.0242 0.0004 0.0195 0.0097 0.1382 0.0345 0.3010 0.0394 0.0132 27 Table A9: Class facilities index by facility Class facilities No Yes Black board or white board 0.4870 -0.0030 Wall map -0.6645 0.2888 Teacher's cabinet -1.6670 0.2498 Teacher’s desks -4.6185 0.0454 Sufficient electric lights -3.5707 0.1087 Electric fan -1.6940 0.1659 TV -0.1356 1.4547 Video player or DVD -0.0030 0.4870 Radio -0.0049 0.2751 Overhead projector -0.0690 0.9848 Computer -0.1794 1.5634 Books other than text books -0.8869 0.2976 Source: Authors' calculations based on the YLs School Survey 2011 Table A10: Description of variables Description of variables Obs. Mean SD Min Max Attend FDS 3 264 0.41 0.49 0 1 FDS x Social background 3 264 0.07 0.56 -3.54 2.37 Social background 3 264 -0.01 1.01 -3.54 2.37 Boy 3 264 0.52 0.50 0 1 Minority 3 264 0.13 0.33 0 1 Number of siblings 3 233 0.89 0.74 0 2 Number of older siblings 3 235 0.79 0.79 0 2 Math retest score 3 185 545 99 258 814 Math test score 3 244 500 100 185 750 Vietnamese retest score 3 186 517 96 214 759 Vietnamese test score 3 254 500 100 192 727 School facilities 3 244 -0.16 1.19 -4.63 1.03 Class facilitites 3 264 0.00 1.00 -5.86 1.78 Teacher's years of education 3 244 18.96 1.96 11 21 Urban areas 3 264 0.83 0.38 0 1 28 Table A11: Multicollinearity tests MATH VIETNAMESE No interaction Variables Social background Class facilities School facilities Minority Vietnamese test score Math test score FDS Urban areas Teacher's years of education Number of siblings Number of older siblings Boy Mean VIF VIF 1.60 1.47 1.43 1.42 1.36 1.23 1.19 1.12 1.07 1.04 1.03 1.02 1.25 1/VIF 0.6252 0.6817 0.6983 0.7055 0.7371 0.8106 0.8401 0.8904 0.9384 0.9620 0.9668 0.9758 MATH No interaction Variables Social background Class facilities School facilities Minority Vietnamese test score Math test score FDS Urban areas Teacher's years of education Number of siblings Number of older siblings Boy Mean VIF VIF 1.59 1.46 1.43 1.41 1.36 1.23 1.19 1.12 1.07 1.04 1.03 1.02 1.25 1/VIF 0.6280 0.6828 0.6983 0.7090 0.7327 0.8133 0.8397 0.8913 0.9383 0.9636 0.9674 0.9767 VIF 2.31 1.61 1.48 1.45 1.44 1.37 1.23 1.23 1.13 1.07 1.04 1.04 1.03 1.34 1/VIF 0.4333 0.6221 0.6777 0.6882 0.6964 0.7306 0.8126 0.8154 0.8880 0.9366 0.9572 0.9627 0.9745 VIETNAMESE With interaction Variables Social background FDS x Social background Class facilities Minority School facilities Vietnamese test score Math test score FDS Urban areas Teacher's years of education Number of siblings Number of older siblings Boy Mean VIF VIF 2.31 1.60 1.48 1.46 1.44 1.36 1.23 1.22 1.13 1.07 1.05 1.04 1.03 1.34 1/VIF 0.4333 0.6247 0.6771 0.6843 0.6964 0.7347 0.8101 0.8163 0.8871 0.9366 0.9555 0.9612 0.9735 With interaction Variables Social background FDS x Social background Class facilities Minority School facilities Vietnamese test score Math test score FDS Urban areas Teacher's years of education Number of siblings Number of older siblings Boy Mean VIF 29 Table A12: VA models of learning achievement (robustness check) Attend FDS Social background FDS x Social background Model 1 (FDS= attending at least 30 periods/week) Math Vietnamese No With No With interaction Interaction interaction Interaction -22.3391*** -23.6983*** -24.0159*** -25.7633*** (3.0526) (3.0886) (3.3296) (3.4054) 1.9378** -1.0720 10.3063*** 6.4459*** (1.7651) (2.2009) (1.9301) (2.3087) 8.2084*** 10.4311*** (3.1412) (3.4457) FDS - attending at least 35 periods/week Model 2 (FDS= attending at least 35 periods/week) Math Vietnamese No With No With interaction Interaction interaction Interaction 2.0062** (1.7704) 1.4111** (2.0082) 10.4090*** (1.9493) 9.1247*** (2.1972) -14.2838*** (3.3124) -14.9302*** (3.4419) 2.5074** (3.5879) -15.1998*** (3.5840) -16.6286*** (3.7562) 5.4316** (3.8891) FDS x Social background FDS - declared by teacher Model 3 ( Math No interaction In 1.7684** (1.7743) 1 -8.0333*** (2.8652) -8 FDS x Social background Boy 0.0605 -0.2938 (2.8028) (2.8088) Minority 15.9974*** 13.7276*** (4.9736) (5.0364) Number of siblings 1.5408** 1.1337 (1.9191) (1.9255) Number of older sisters/brothers -5.8800*** -6.2354*** (1.7920) (1.8039) Math test score 0.5542*** 0.5553*** (0.0181) (0.0181) Vietnamese test score 0.0481*** 0.0458*** (0.0166) (0.0166) School facilities 6.5002*** 6.6914*** (1.3600) (1.3619) Class facilities 6.9425*** 7.3009*** (1.6745) (1.6828) Teacher's years of education 0.7100** 0.6276** (0.6566) (0.6568) Urban areas -10.1042*** -10.7194*** (3.7740) (3.7868) Constant 250.2823*** 254.0716*** (17.7477) (17.7534) Number of observations 3,080 3,080 Adjusted R2 0.392 0.393 Note: standard error in parentheses; *** p<0.01, ** p<0.05, * p<0.1 -16.5946*** (3.0015) 18.9412*** (5.5608) 4.1751* (2.0550) -2.0808** (1.9146) 0.0464*** (0.0172) 0.4100*** (0.0186) 2.2217** (1.5338) 2.9253** (1.8536) 2.9808*** (0.7803) -8.0587* (4.0084) 253.2825*** (19.3574) 3,081 0.277 -17.0314*** (3.0008) 16.0769*** (5.5893) 3.6666* (2.0643) -2.4922** (1.9137) 0.0479*** (0.0171) 0.4071*** (0.0187) 2.4601** (1.5391) 3.4010* (1.8554) 2.8771*** (0.7753) -8.8391* (4.0204) 257.9335*** (19.3427) 3,081 0.279 0.4484 (2.8232) 18.7079*** (4.9537) 1.8482** (1.9303) -5.8235*** (1.8052) 0.5597*** (0.0181) 0.0600*** (0.0165) 5.3791*** (1.3617) 6.4779*** (1.6709) 0.9577** (0.6735) -2.4269 (3.7678) 224.1710*** (17.5410) 3,080 0.385 0.3725 (2.8321) 18.0866*** (5.0212) 1.7698** (1.9358) -5.8951*** (1.8119) 0.5596*** (0.0181) 0.0597*** (0.0165) 5.3783*** (1.3625) 6.5081*** (1.6727) 0.9579** (0.6736) -2.5038 (3.7707) 224.5809*** (17.5306) 3,080 0.385 -16.1472*** (3.0193) 21.8509*** (5.5969) 4.4648* (2.0599) -2.0020** (1.9288) 0.0524*** (0.0171) 0.4227*** (0.0184) 0.9854 (1.5226) 2.4116** (1.8674) 3.2381*** (0.8049) 0.1947 (3.9176) 225.3452*** (19.4778) 3,081 0.269 -16.2860*** (3.0210) 20.5205*** (5.6767) 4.3041* (2.0674) -2.1374** (1.9304) 0.0524*** (0.0170) 0.4222*** (0.0184) 0.9824 (1.5236) 2.4747** (1.8684) 3.2390*** (0.8053) 0.0435 (3.9254) 226.1132*** (19.4918) 3,081 0.269 Source: Authors' calculations based on the YLs School Survey 2011 30 0.2209 (2.8258) 21.6041*** (4.9665) 1.5997** (1.9315) -6.1027*** (1.8207) 0.5585*** (0.0182) 0.0582*** (0.0165) 4.2199*** (1.3153) 6.6870*** (1.6673) 0.5360** (0.6659) -5.9028** (3.7787) 236.7292*** (17.9265) 3,080 0.383 21 1 -6 0 0 4 6 0 - 23 ( Table A13: Number of periods by subject and teacher’s perception of class management by FDS status and quintile of social background Quintile of social background Number of periods in Vietnamese Number of periods in Mathematics Number of periods in all subjects Regular visits to pupil's home (%) Major problem of disciplines (%) 1 2 3 4 5 All No FDS 7.9 7.8 7.7 7.8 7.5 7.8 FDS 8.6 9 9.1 9.4 9.9 9.3 Diff. 0.7 1.2 1.4 1.6 2.4 1.5 No FDS 5 5 5 4.9 4.7 4.9 6.6 FDS 6.3 6.3 6.4 6.6 7.2 Diff. 1.2 1.3 1.4 1.7 2.6 1.7 No FDS 25 25 25.3 25.5 26.2 25.4 FDS 33.8 34.3 34.5 34.5 34.7 34.4 Diff. 8.7 9.3 9.2 8.9 8.5 9 No FDS 54.3 50.6 48.9 41.9 22.6 44.8 FDS 25.9 17.2 21.1 20 10.3 18.1 Diff. -28.4 -33.4 -27.8 -21.9 -12.3 -12.3 No FDS 5.8 4.5 7.3 11.1 0.9 5.9 FDS 19.6 28 35.6 34.6 28.9 30.5 Diff. 13.8 23.5 28.3 23.5 28.1 24.6 Major problem of poor attendance among pupils (%) No FDS 9.1 23.5 28.3 23.5 28.1 7 FDS 17.1 23.6 27.7 25.7 11.6 21.4 Diff. 8 0.1 -0.6 2.2 -16.5 14.4 Major problem of interruptions to teaching (%) No FDS 3.9 4.2 8.2 10.5 1.8 5.5 FDS 17.7 27.6 32.9 29.5 12.2 24.4 Diff. 13.8 23.4 24.7 19 10.5 18.9 Source : Authors’ calculations based on the YLs School Survey 2011 31 7.1. B. Figures Figure B1: Distribution of students across social background index Figure B2 Number of statutory teaching hours per year in public instutions by level of education (2003) Primary educa on Lower secondary educa on Upper secondary educa on 1,600 1,400 1,200 1,000 800 600 400 200 Vi et na m Ne w Ja pa n a Ze al an d Th ai la nd A Re us tr a pu bl lia ic of Ko re a M al ay sia La o PD R Ca m bo di a an c ia Sr iL In d on es ia Ph ilip pi ne s In d Ba ng la de sh 0 Source: Adapted from UNESCO 2006 32 Figure B3 Number of statutory teaching hours per year in public institutions, by educational level (2012) Primary education Lower secondary education Upper secondary education, general programmes Hours per year 1,400 1,300 1,200 1,100 1,000 900 800 700 600 500 400 300 200 Vietnam Greece Denmark Japan Russian Federation Iceland Norway Finland Israel Korea Turkey Poland Estonia Austria Slovenia Hungary Czech Republic Slovak Republic Italy Belgium France Portugal OECD average Spain England Germany Ireland Indonesia Luxembourg Canada Netherlands New Zealand Mexico Australia Chile Scotland 0 Argentina 100 Source: Adapted from OECD (2014) 33
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