Analysis for heteroscedastic crossed unbalanced random effects model using pigeonhole bootstrap

• Main Author: Dizon, Vinson Marion S.
• Format: text
• Language: English
• Published: Animo Repository 2008
• Subjects: Analysis of variance; Experimental design; Physical Sciences and Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/2299
• Institution: De La Salle University

This thesis is an exposition of the article The Pigeonhole Bootstrap , by Art B. Owen from the journal The Annals of Applied Statistics (2007) vol. 1 no. 2 which talks about heteroscedastic crossed unbalanced random effects model. The problems in analysis of heteroscedastic crossed unbalanced random effects model are some of the parameters are unestimable. The use bootstrap is appropriate in the analysis of heteroscedastic crossed unbalanced random effects model. The Naive bootstrap fails because of inconsistency and biasness of estimators. Another method is the pigeonhole bootstrap which satisfies mean consistency. The pigeonhole bootstrap is applied to a sample of DLSU students versus television programs selected by the researcher and a sample of Pangasinan residents versus the same television programs. The researcher compared those data based on the preferred television shows of the respondents. The result is that culture and living status affect the preferred programs of the people of the sampled respondents.