DISCRETE VARIABLE ANALYSIS FOR INDIVIDUALS GROUPED INTO FAMILIES

成果类型:
Article
署名作者:
ALTHAM, PME
署名单位:
University of Cambridge
刊物名称:
BIOMETRIKA
ISSN/ISSBN:
0006-3444
DOI:
10.1093/biomet/63.2.263
发表日期:
1976
页码:
263269
关键词:
摘要:
When categorical data arise from individuals grouped into families, because of the within-family dependence the conventional methods of inference, which are based on multinomial sampling, are generally inappropriate, for example in testing simple or complex hypotheses about the unknown cell probabilities. Inequalities for the appropriate chi-squared statistics are derived under very weak assumptions about the nature of the within-family dependence. Cohen (1976) introduced the problem in a demographic context for families of size 2, and his results are extended. The approach used has something in common with that of Wedderburn (1974) in that the data are analyzed without actually having to write down the extract form of the likelihood function. Only the 1st-and 2nd-order properties of the distribution are used. An example is given using data on diagnosis of schizophrenia and sex of hospitalized [human] sibling pairs.
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