BOOTSTRAPPING ANALOGS OF THE ONE WAY MANOVA TEST

The classical one way MANOVA model is used to test whether the mean measurements are the same or differ across p groups, and assumes that the covariance matrix of each group is the same. This work suggests using the Olive (2017abc) bootstrap technique to develop analogs of one way MANOVA test. A large sample theory test has also been developed. The bootstrap tests can have considerable outlier resistance, and the tests do not need the population covariance matrices to be equal. The two sample Hotelling's T^2 test is the special case of the one way MANOVA model when p =2.

Name thesis:degree_name

Doctor of Philosophy

Level thesis:degree_level

Campus Only Dissertation

Discipline thesis:degree_discipline

Mathematics

Year

2017

Author dc:creator

• Rupasinghe Arachchige Don, Hasthika Sriyantha

Contributors dc:contributor

• Olive, David

• Behrens--Fisher problem
• bootstrap
• coordinatewise median
• Hotelling's T^2 Test
• MANOVA
• prediction region

Repository record dc:identifier

https://opensiuc.lib.siu.edu/dissertations/1425

OAI identifier oai:identifier

oai:opensiuc.lib.siu.edu:dissertations-2429