"In the case of the linear statistical model, it has been shown that under certain conditions the confidence intervals obtained by considering the parameters one at a time are conservative when used as a joint confidence region, using the product of confidences as the confidence. However, nothing had been known of how conservative they are. This research provides accurate estimates of the true confidence for these cases.
Also, it has not yet been proved that they are indeed conservative for all cases. It is thought that they are, and the results of this research support this conjecture"--Abstract, page ii.
Antle, Charles E.
Oetting, R. B.
Bain, Lee J., 1939-
Richards, Earl F., 1923-
Mathematics and Statistics
M.S. in Applied Mathematics
University of Missouri at Rolla
v, 31 pages
© 1965 Roger Alan Chapin, All rights reserved.
Thesis - Open Access
Library of Congress Subject Headings
Confidence intervals -- Mathematical models
Linear models (Statistics)
Print OCLC #
Electronic OCLC #
Link to Catalog Record
Chapin, Roger Alan, "A study of certain conservative sets for parameters in the linear statistical model" (1965). Masters Theses. 5696.