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

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The Impact <strong>of</strong> Missing Data on Subgroup Estimation<br />

Leslie Rutkowski, Indian Universiy, USA<br />

TIMSS and PIRLS use a sophisticated assessment design whereby each individual student<br />

is only administered a small number <strong>of</strong> the total possible cognitive items. In particular<br />

TIMSS and PIRLS use a rotated booklet design that ensures that each cognitive item<br />

receives sufficient exposure and that each examinee receives a sufficient number <strong>of</strong> items<br />

to estimate population-level achievement in a number <strong>of</strong> domains and sub-domains. While<br />

this method <strong>of</strong> item delivery is efficient from an administration perspective, the approach<br />

poses intractable challenges for precisely estimating individual student achievement. To<br />

overcome the methodological challenges associated with multiple-matrix sampling,<br />

international LSA programs adopted plausible value methods that use marginal estimation<br />

techniques to generate population level achievement estimates (Mislevy, 1991; Mislevy,<br />

Beaton, Kaplan & Sheehan, 1992; Mislevy, Johnson & Muraki, 1992). While the plausible<br />

value methodology has been well established theoretically and empirically, a paucity <strong>of</strong><br />

literature appears to exist regarding the effect <strong>of</strong> poor quality background data on<br />

subpopulation achievement estimates. In the current paper, we seek to examine the impact<br />

<strong>of</strong> missing background data used to estimate subpopulation achievement. First, we reason<br />

that group differences will be underestimated when background variables used to optimize<br />

subpopulation achievement differences have high rates <strong>of</strong> missing (at random) data.<br />

Second, we examine the impact <strong>of</strong> background data that are systematically missing or<br />

missing not at random. Data are simulated using TIMSS 2007 item parameters and a<br />

variety <strong>of</strong> conditions.<br />

Keywords: TIMSS; plausible values; subgroup achievement estimation<br />

On the Degree <strong>of</strong> Comparability in Trend Studies as a Function <strong>of</strong><br />

Differences in Age and Schooling<br />

Monica Rosén, <strong>University</strong> <strong>of</strong> Gothenburg, Sweden<br />

Rolf Strietholt, Dortmund <strong>University</strong> <strong>of</strong> Technology, Germany<br />

<br />

Linking IEA-studies on reading literacy <strong>of</strong> 9-10 year-old students via IRT-technique<br />

provides an extensive source for trend analyses from 1970 to 2006. Comparison derives<br />

from the assumption <strong>of</strong> having comparable groups in respective studies and countries.<br />

Regarding this, students’ age and time <strong>of</strong> schooling play a crucial role since the subsamples<br />

cover students that differ in terms <strong>of</strong> age, grade and test months. Therefore, the<br />

comparability can be considered as a function <strong>of</strong> differences in age and schooling. The<br />

main purpose <strong>of</strong> our analysis is highlight issues <strong>of</strong> study design that appear in trend<br />

analysis and affect the comparability. We discuss miscellaneous strategies to handle such<br />

differences and address limitations <strong>of</strong> these approaches.<br />

Keywords: age effect; comparative study; reading literacy; schooling effect<br />

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