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Biometrika 2002 89(4):841-850; doi:10.1093/biomet/89.4.841
© 2002 by Biometrika Trust
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Testing ignorable missingness in estimating equation approaches for longitudinal data

Annie Qu1 and Peter X.-K.Song2

1 Department of Statistics, Oregon State University, Corvallis, Oregon 97331, U.S.Aqu{at}stat.orst.edu 2 Department of Mathematics and Statistics, York University, Toronto, Ontario, Canada M3J 1P3 song{at}mathstat.yorku.ca

We address the matter of determining whether or not missing data in longitudinal studies are ignorable with regard to quasilikelihood or estimating equations approaches.This involves testing for whether or not the zero-mean property of estimating equations holds true. Chen & Little (1999) proposed testing for significant differences among parameter estimators calculated from sample subsets with different patterns of missing data, whereas we propose a more unified generalised score-type test. This avoids exhaustive estimation of parameters for each missing-data pattern, testing instead with a single quadratic score test statistic whether or not there is a common parameter under which the means of all the pattern-specific estimating equations are zero. Comparisons are made for the two approaches with both simulations and real data examples.

Key Words: Generalised estimating equation; Goodness-of-fit test; Ignorable missingness; Quadratic inference function; Schizophrenia trial


Received June 2001. Revised February 2002


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