Abstract
In this dissertation the following problems I the area of regression and discriminant analysis have been discussed. (1) Suppose there are m groups or populations and the regression lines of y on k independent variables x₁,..., x(subscript k) in these m groups are concurrent, the problem of statistical inference about this point of concurrence is investigated. Exact tests of significance for the goodness of fit of a proposed point of concurrence and departure from concurrence have been derived. (2) Discrimination between two multivariate populations π₁ and π₂ can be done with the same discriminant function as that between π₃ and π₄ if the vector of mean difference between π₁ and π₂ is proportional to the vector mean difference between π₃ and π₄. A likelihood ratio test is derived for testing this hypothesis. (3) The problem of analysis of association between two attributes A and B in a contingency table can be handled with the help of canonical analysis of two vectors. Whether this association is linear or not and if it is linear, whether a proposed set of scores are adequate for this purpose can be tested by using the classical multivariate criteria like Wilks' λ, Pillai's V, Hotelling generalized T²(subscript o). Pillai's V and Hotelling's T²(subscript o) have not yet been considered in the literature. This is done in this discretion.
Sonvico, Violeta Amelia (1976). Some problems of statistical inference in regression and discriminant analysis. Texas A&M University. Texas A&M University. Libraries. Available electronically from
https : / /hdl .handle .net /1969 .1 /DISSERTATIONS -617724.