Topics in log-linear models

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Title: Topics in log-linear models
Author: Wickramasinghe, Indika Pradeep
Abstract: In this thesis we give a short introduction to log -linear models , which can be used to model higher dimensional contingency tables . Using this methodology , the logarithm of the expected frequency of each cell in a contingency table can be written in an ANOVA -type equation . Using ideas from the Ph .D . thesis of F . Rapallo (2003 ) , if q is the number of cells in the contingency table , we consider any linear subspace of the q -dimensional Euclidean space as a possible model for the vector of logarithms of expected frequencies of the contingency table . We consider all possible models for 2X2 tables for two binary variables , and all possible hierarchical models for 2X2X2 tables for three binary variables . Using the statistical package SAS , we estimate all possible hierarchichal log -linear models for a dataset with three categorical variables that was collected by Hoblyn and Palmer (1934 ) and was used by Bartlett in his classic 1935 statistical paper , where he discusses the testing of no second order interaction . The experimental data we used were based on an investigation for the propagation of plum root -stocks from root cuttings .
URI: http : / /hdl .handle .net /2346 /20089
Date: 2009-05

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Topics in log-linear models. Master's thesis, Texas Tech University. Available electronically from http : / /hdl .handle .net /2346 /20089 .

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