Some problems of statistical inference in regression and discriminant analysis /
| Main Author: | |
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| Other Authors: | , , |
| Format: | Thesis Book |
| Language: | English |
| Published: |
[College Station, Tex.] :
Sonvico,
1976.
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| Subjects: | |
| Online Access: | Link to ProQuest copy Link to OAKTrust copy |
| 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. |
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| Item Description: | "Major subject: Statistics." Vita. |
| Physical Description: | ix, 128 leaves ; 28 cm |
| Bibliography: | Includes bibliographical references (leaves 125-127). |