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Biometrika 1987 74(1):1-12; doi:10.1093/biomet/74.1.1
© 1987 by Biometrika Trust
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Logistic regression analysis of sample survey data

G. ROBERTS, N. K. RAO and S. KUMAR

Social Survey Methods Division, Statistics Canada Ottawa K1A 0T6, Canada
Department of Mathematics and Statistics, Carleton University Ottawa K1S 5B6, Canada
Social Survey Methods Division Statistics Canada, Ottawa K1A 0T6, Canada

Standard chi-squared, X2 or likelihood ratio, G2, test statistics for logistic regression analysis, involving a binary response variable, are adjusted to take account of the survey design. These adjustments are based on certain generalized design effects. Logistic regression diagnostics to detect any outlying cell proportions in the table and influential points in the factor space are also developed, taking account of the survey design. Finally, the results are used to analyse some data from the October 1980 Canadian Labour Force Survey.

Key Words: Binary response data • Chi-squared test statistic • Design effect • Diagnostic • Satterthwaite's approximation


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