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Katherine M. Wright

Northwestern University



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John L. Gatta

Northwestern University



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Terri D. Pigott

Loyola University Chicago



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266 – SPEED: Statistical Computing and Sports, Part 2A

Effects of Missing Data on Student Growth Estimates

Sponsor: Section for Statistical Programmers and Analysts
Keywords: missing data, multiple imputation, growth model, maximum likelihood

Katherine M. Wright

Northwestern University

John L. Gatta

Northwestern University

Terri D. Pigott

Loyola University Chicago

One property of student growth data that is often overlooked despite widespread prevalence is incomplete or missing observations. As students migrate in and out of school districts, opt out of standardized testing, or are absent on test days, there are many reasons student records are fractured. Missing data in growth models can bias model estimates and growth inferences. This paper presents empirical explorations of how well missing data methodologies recover attributes of would-be complete student data used for teacher evaluation. Missing data methods are compared in the context of a Student Growth Percentiles (SGP) model used by several school systems for accountability purposes. Using a real longitudinal dataset, we evaluate the sensitivity of growth estimates to missing data and compare the following missing data methods: listwise deletion, likelihood-based imputation using an expectation-maximization algorithm, multiple imputation using a Markov Chain Monte Carlo method, multiple imputation using a predictive mean matching method, and inverse probability weighting. Methodological and practical consequences of missing data are discussed.

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