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University of Oslo Workshops June 29-30 Conference July 1-3 ...

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Track D TIMSS/PIRLS - Session 2<br />

Sampling strategies<br />

1 <strong>July</strong><br />

13:<strong>30</strong>-15:<strong>30</strong><br />

Room: AK 2135<br />

Chair: Chair: Petra Lietz<br />

Discussant: Ingrid Munck<br />

Examining the Components <strong>of</strong> Linking Error <strong>of</strong> Trend Estimation in PIRLS<br />

Gabrielle Stanco, Boston College, USA<br />

Michael Martin, Boston College, USA<br />

Ina Mullis, Boston College, USA<br />

This study explores the issue <strong>of</strong> linking error in estimating trends, or changes in<br />

achievement over time. TIMSS and PIRLS, as well as other large-scale assessments,<br />

measure trends through linking successive assessments. As part <strong>of</strong> documenting the<br />

changes in student achievement from each assessment cycle to the next, the results are<br />

reported together with their standard errors. Typically, the standard errors incorporate a<br />

component due to sampling variance and a smaller component resulting from the use <strong>of</strong><br />

plausible values and conditioning (imputation variance). More recently, there has been<br />

research investigating the variance resulting from updating the item pool from assessment<br />

to assessment. This research examines the variance components in linking the 2001 and<br />

2006 PIRLS assessments focusing on the variance due to changes in the items from one<br />

assessment to the next. Since many items were in common between the two PIRLS<br />

assessments, this represents a relatively small change, and the associated variance is<br />

expected to be correspondingly small.<br />

Keywords: linking error; trend estimation; international<br />

The Design Effect <strong>of</strong> Two-Stage Stratified Cluster Sampling<br />

Tsung-Hau Jen, National Taiwan Normal <strong>University</strong>, Chinese Taipei<br />

Hak Tam, National Taiwan Normal <strong>University</strong>, Chinese Taipei<br />

Margaret Wu, ARC, The <strong>University</strong> <strong>of</strong> Melbourne, Australia<br />

<br />

In this study, a mathematical formula was provided to estimate the lower boundary <strong>of</strong> the<br />

error variance for the population mean. In order to verify the validity <strong>of</strong> the formula, we<br />

used the formula to estimate the error variances <strong>of</strong> science achievement for 8th graders in<br />

seven TIMSS 2007 participating countries and compared the results with those estimated<br />

by using the jackknife replication technique as discussed in the international report. The<br />

preliminary results indicated that the standard errors estimated by using the formula<br />

provided in this study are very close to those that were estimated by using the jackknife<br />

replications technique. Detailed derivation <strong>of</strong> the formula and future direction <strong>of</strong> study will<br />

be presented in the full paper.<br />

26

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