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On Calculations Involving the Maximum Cell Frequency |
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| Authors: | Bruce Levin |
| Institution: | Division of Biostatisties , Columbia University School of Public Health and the G.Sergievsky Center , New York, New York, 10032 |
| Abstract: | We describe a method of computing the cumulative distribution function of the maximum and minimum cell frequencies in sampling distributions commonly encountered in the analysis of categorical data.The procedure is efficient for exact or approximate calculation in both homogeneous and non-homogeneous cases, is non-recursive, and does not require Dirichlet integrals.Some related statistical problems are also discussed. |
| Keywords: | maximum cell frequency distribution conditional distributions multinomial multiple hyper-geometric compound distributions spike detection sequential selection procedures |