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here - TIMSS and PIRLS Home - Boston College

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appendix a: overview of pirls 2006 procedures<br />

for each country, four attributes of the populations sampled in 2001 <strong>and</strong><br />

2006: number of years of formal schooling, average student age, the score on<br />

the United Nations Development Programme’s (UNDP) human development<br />

index, <strong>and</strong> the percentage of students in the national desired population<br />

excluded from the assessment. Most countries <strong>and</strong> provinces were very<br />

similar with regard to these attributes across the two assessments, although it<br />

is noteworthy than the Russian Federation <strong>and</strong> Slovenia underwent structural<br />

changes in the age at which children enter schools that are reflected in their<br />

samples. In 2001, the Russian sample contained third-grade students from<br />

some regions <strong>and</strong> fourth-grade students from others, w<strong>here</strong>as all students<br />

were in fourth grade in 2006. Slovenia is in transition toward having all<br />

children begin school at an earlier age so that they all will have four years of<br />

primary schooling instead of three years, as was the case in 2001. However,<br />

the transition was not complete in 2006.<br />

For analysis <strong>and</strong> reporting, students’ questionnaire data, along with<br />

questionnaire data from their parents, teachers, <strong>and</strong> school principals, were<br />

linked to students’ achievement data. Exhibit A.9 shows the percentage of<br />

students with available student, parent, teacher, <strong>and</strong> principal questionnaire<br />

data. Although the vast majority of students in <strong>PIRLS</strong> 2006 were taught by a<br />

single teacher, t<strong>here</strong> were some students in some countries taught by more<br />

than one teacher. The percentage of students in each country taught by one,<br />

two, or three teachers is presented in Exhibit A.10. Only Scotl<strong>and</strong>, Sweden,<br />

<strong>and</strong> the Canadian province of British Columbia had more than 10 percent of<br />

students with more than one teacher—21 percent, 13 percent, <strong>and</strong> 13 percent,<br />

respectively. If a student had more than one teacher, the student’s data<br />

record was replicated so that t<strong>here</strong> were as many student records as t<strong>here</strong><br />

were teacher records. Then each teacher record was merged with one of the<br />

student records. So as not to over count the student in analyses, the sampling<br />

weight for each student record was divided by the number of records that the<br />

student had. For example, if a student had two teachers, the student’s record<br />

was replicated so that t<strong>here</strong> were two records, <strong>and</strong> the first was merged with<br />

one teacher record <strong>and</strong> the second with the other teacher record. Each of the<br />

two student records was given half of the original student’s weight.<br />

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