CONTRIBUTIONS TO MULTIVARIATE ANALYSIS INCLUDING UNIVARIATE AND MULTIVARIATE VARIANCE COMPONENTS ANALYSIS AND FACTOR ANALYSIS

摘要

The main emphasis throughout this dissertation is on confi-dence bounds, simultaneous and/or individual, on parameters or parametric functions which are natural measures of departure from certain usual null hypotheses.nAll parent populations, from which our random samples are drawn, are assumed to be univariate or multivariate normal, as the case may be. On this assumption of the underlying distributions being normal, first certain general results ar6 obtained and, then, a more detailed discussion is m3de of various problems in the sectors of various ance components (both univariate and multivariate) and factor analysis.