
Accession Number : AD0727130
Title : Some Aspects of Estimators in Analysis of Variance Model II.
Descriptive Note : Master's thesis,
Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF
Personal Author(s) : Green,Gary Allen
Report Date : MAR 1971
Pagination or Media Count : 36
Abstract : It is well known that the standard estimator for variance components in analysis of variance, Model 2, (sigma squared, sub a) can be negative with positive probability. In practice, when such an estimator is found to be negative it is taken to be zero. Very little is known about the properties of the corresponding truncated estimator. This thesis investigates the variance and bias of the positive truncated estimator. A method of selecting the number of classes is presented that produces maximum power for a test of the hypothesis that (sigma squared, sub a) = 0 while keeping the variance and bias as small as possible. (Author)
Descriptors : (*ANALYSIS OF VARIANCE, MATHEMATICAL PREDICTION), STATISTICAL TESTS, DECISION THEORY, SAMPLING, COMPUTER PROGRAMS, THESES
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE