Extended ANOVA and Rank Transform Procedures

Extended Linear Models, Multivariate Splines and Anova

Extended Linear Models, Multivariate Splines and ANOVA by Mark Henry Hansen Doctor of Philosophy in Statistics University of California at Berkeley Professor Charles J. Stone, Chair In this dissertation, we pursue a theoretical investigation into several aspects of multivariate function estimation. In general, we con ne ourselves to estimators that are smooth, piecewise polynomial functions, or...

I I I . - I Simultaneous Test Procedures for One - Way Anova and Manova Based on Rank Scores

Combined Reduced-Rank Transform

We propose and justify a new approach to constructing optimal nonlinear transforms of random vectors. We show that the proposed transform improves such characteristics of rank-reduced transforms as compression ratio, accuracy of decompression and reduces required computational work. The proposed transform Tp is presented in the form of a sum with p terms where each term is interpreted as a part...

Sample Size Considerations for Multiple Comparison Procedures in ANOVA

Adequate sample sizes for omnibus ANOVA tests do not necessarily provide sufficient statistical power for post hoc multiple comparisons typically performed following a significant omnibus F test. Results reported support a comparison-of-most-interest approach for sample size determination in ANOVA based on effect sizes for multiple comparisons. Introduction The determination of an appropriate s...

· e RANK PROCEDURES FOR SOME TWO - POPULATIONS MULTIVARIATE EXTENDED CLASSIFICATION PROBLEMS

Given independent samples from three multivariate populations with cumulative distribution functions F(l)(e), F(2)(e), and F(O) (e) = e F(l) (x) + (l-e)F(2)(x), where 0 < e < I is unknown, the three-action-problem involving decision as to whether the value of e is high, low, or intermediate, is considered. A class of consistent procedures based on the relative spacing of three sample averages o...