Graduate Thesis Or Dissertation

Testing equality of two regressions

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  • This thesis addresses the problem of deciding whether or not two disjoint random samples that are fitted by the same regression equation emanate from the same parental population. Two situations are considered. The first situation is where the two disjoint samples are individually fitted with the regression equation. The second situation is where one sample and the union of the two disjoint samples are fitted. For the first situation three cases are considered. Each case involves different assumptions about the residual variances for the populations from which the samples are drawn. For the second situation two cases are considered. The first case requires knowledge of all the sums of squares and factors in the normal equations associated with the regression. The second case requires the knowledge of two sums of squares and results in a conservative approximation to an F statistic used for testing a hypothesis about the equality of the two coefficient vectors.
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