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Math and StatisticsNumerical Mathematics

Sensitivity Analysis for Pearson-Lawley Corrections in the Context of Nonignorable Missingness

Authors: Guanghan Liu; Bengt Muthen; JOHNS HOPKINS UNIV BALTIMORE MD
Abstract:
We consider a model sensitivity problem of a dependent variable on several exogenous variables while the dependent variable has some missing data. Under certain assumptions on the model of selected sample and on the selection mechanism, a mixture model is derived and some statistical properties are discussed. This model gives a way to derive Pearson Lawley (PL) correction formula for the covariance matrix and leads to a modification when the missingness is not ignorable. A sensitivity analysis is then discussed for the PL method. Finally, this modified PL method is applied to a real data set from Project A of Office of Naval Research. The results show some difference from that of using Pearson-Lawley method or of using listwise deletion.

Limitations: APPROVED FOR PUBLIC RELEASE
Pages: 32
Report Date: 29 AUG 94
Contract Number: N00014-93-1-0619
Report Number: A222323
Keywords relating to this report:
*MATHEMATICAL MODELS
*SENSITIVITY
*STATISTICAL ANALYSIS
*VARIABLES
CORRECTIONS
COVARIANCE
DATA BASES
FORMULAS_MATHEMATICS_
MATRICES_MATHEMATICS_
MIXTURES
SELECTION
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