Analysis for heteroscedastic crossed unbalanced random effects model using pigeonhole bootstrap

Date of Publication

2008

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Statistics Major in Actuarial Science

Subject Categories

Physical Sciences and Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Thesis Adviser

Arturo Y. Pacificador, Jr.

Defense Panel Chair

Frumencio F. Co

Defense Panel Member

Shirlee R. Ocampo
Regina M. Tresvalles

Abstract/Summary

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.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU15427

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

vii, 129 p. ; ill. (some col.) ; 28 cm.

Keywords

Analysis of variance; Experimental design

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