Date of Award:
Master of Science (MS)
Mathematics and Statistics
Department name when degree awarded
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.
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.