SEQUENTIAL ONE-SAMPLE RANK TESTS.
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
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The paper is based on several more detailed reports. Sequential, one-sample, rank tests have been developed with the referenced papers dealing with basic methodology, modified tests and Monte Carlo studies, respectively. The Wilcoxon signed rank method is reviewed. Sequential methods are developed for observations taken in groups of size N, the groups taken sequentially. Within-group, signed ranks are used and a model developed that permits calculation of group probability ratios for two procedures, one based on the within-group configurations of signed ranks and one based on the within-group rank sums. Modified tests with observations taken singly are also described when new sets of signed ranks are obtained as each new observation is taken. Walds method of sequential analysis is used. Monte Carlo studies of the sequential grouped procedures have been conducted. Calculations are described and examples of results given. Author
- Statistics and Probability