Date of Award:
1966
Document Type:
Thesis
Degree Name:
Master of Science (MS)
Department:
Mathematics and Statistics
Department name when degree awarded
Applied Statistics
Advisor/Chair:
David White
Abstract
The main objective of this work will be to examine the hypothesis that all the treatment means are the same and equal to some unknown quantity, when we know that the variance is the same for each sample, and to determine if the conventional method for making this test (the F-test) applicable when the sample sizes are assumed to be random variables. This hypothesis can be tested by using a likelihood-ration test. To do this, a density function or distribution has to be found for this ratio, thus permitting us to make probability statements about the occurrence of this ration under the null hypothesis.
Checksum
6d6a9c1fbd8dc044ab5903f1e9dfd15e
Recommended Citation
Neville, Raymond H., "A density for a Generalized Likelihood-Ratio Test When the Sample Size is a Random Varible" (1966). All Graduate Theses and Dissertations. 6804.
https://digitalcommons.usu.edu/etd/6804
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