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- W2487665216 abstract "This chapter focuses on the properties of test procedures. A statistical assessment of the different test procedures for the customary null hypothesis may be made in terms of their power functions. The power properties are of two kinds, namely, intrinsic and comparative. Statistics that are used for purposes of tests of significance in uniresponse problems, for example, a mean square or a t -statistic, have important value, apart from their formal use, as interpretable summaries of facets of the structure underlying a body of data. By contrast, in the multiresponse situation, the statistics proposed for carrying out significance tests, for example, various functions of certain latent roots, are complex derivatives from the data that do not generally provide a direct insight into the latent structure of the data. For the multivariate analysis of variance (MANOVA), even with the imposition of the requirement of affine invariance, one is led to a class of statistics whose members are not in general statistically equivalent and each statistic is a function of certain latent roots that are the basic invariants." @default.
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- W2487665216 date "1971-01-01" @default.
- W2487665216 modified "2023-09-23" @default.
- W2487665216 title "PROPERTIES OF THE TEST PROCEDURES" @default.
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- W2487665216 doi "https://doi.org/10.1016/b978-0-08-006917-3.50009-9" @default.
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