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Nonparametric Multiple Comparison Procedures

非参数多重比较程序

A general nonparametric methodology for performing multiple comparisons of treatment effects in r-way mixed models is presented. Comparisons can be made among all treatments or for several treatments against a control. The methods can be used on either the raw data or ranked data. Essentially, we perform M permutations of the observations, consistent with our experimental design. For the comparison of all treatments, any “treatment differences” that are larger than 95…

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Nonparametric One-Sided Tests in Multivariate Analysis with Medical Applications

多元分析中的非参数单侧检验及医学应用

Permutation tests are applied to the maximal t statistic in two-sample, completely randomized designs, and in two-sample, matched-pair designs, where the response is a vector and the experimenter is interested in one specific direction in each component. Recommendations for subsampling are also included for cases when the number of permutations required to complete the test is prohibitive. These procedures are then applied to data from two medical trials.

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Two-way contingency tables for complex sampling schemes

复杂抽样方案下的二维列联表

Methods for testing independence, quasiindependence, and marginal symmetry in contingency tables are derived for a wide variety of sampling schemes including stratified multistage cluster sampling. The null hypothesis is a vector of linear and quadratic contrasts involving the probabilities. The asymptotic null distribution of the test statistic is chi-squared. The theory can also be used to test equality of failure distributions in a stratified prospective multiclinio…

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Comparison of Failure Rates Using Rank Tests

利用秩检验比较失效率

This article deals with tests of the hypothesis that the failure rates of two products are equal, against the alternative hypothesis that one failure rate dominates the other. The hypotheses are tested using the locally most powerful rank tests based on samples from the two products. Practical implications of such tests, with regard to used products, are discussed. Some numerical aspects of the use of the asymptotic results on small samples are also presented.

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