On the heterogeneity of proportions

The comparison amongmproportions can be viewed as the clustering of the means of Bernoulli trials. By introducing a distribution which is supported on the means of Bernoulli trials, we suggest a moment method approach to determine the center of the clusters. We also suggest using model selection cri...

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Bibliographic Details
Published inJournal of statistical computation and simulation Vol. 67; no. 2; pp. 173 - 188
Main Author LAU, Tai-Shing
Format Journal Article
LanguageEnglish
Published Abingdon Gordon and Breach Science Publishers 01.09.2000
Taylor and Francis
Subjects
Canonical moments
clustering
Exact sciences and technology
Linear inference, regression
Mathematics
model selection
multiple comparisons
Multivariate analysis
Parametric inference
Probability and statistics
Sciences and techniques of general use
Statistics
Rank statistic
Discriminant analysis
Data analysis
Parameter estimation
Bernoulli trial
Paired comparison
Moment method
Cluster
Statistical estimation
Multivariate analysis
Variance analysis
Statistical regression
Selection problem
Classification
Homogeneity
Bootstrap
Linear estimation
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Summary:The comparison amongmproportions can be viewed as the clustering of the means of Bernoulli trials. By introducing a distribution which is supported on the means of Bernoulli trials, we suggest a moment method approach to determine the center of the clusters. We also suggest using model selection criteria rather than the usual testing hypothesis approach to determine the grouping of the means. The discrepancy function for all possible models are compared based on the bootstrap results.
ISSN:0094-9655
1563-5163
DOI:10.1080/00949650008812040