Record Details

Testing equality of two regressions

ScholarsArchive at Oregon State University

Field Value
Title Testing equality of two regressions
Names Pugh, James Donald (creator)
Guthrie, Donald Jr (advisor)
Date Issued 1967-05-12 (iso8601)
Note Graduation date: 1967
Abstract 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.
Genre Thesis/Dissertation
Topic Statistics
Identifier http://hdl.handle.net/1957/47984

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