STAT5602 Analysis of Categorical Data
STAT5602 Categorical Data Analysis
Categorical Response Data
A categorical variable is one whose measurement scale consists of a set of categories or
levels.
Categorical variables where levels do not have a natural or
STAT5602
Mills 2015
page 88
Loglinear Models for Three-Way Tables
In studying the relationship between a response variable and an explanatory variable, there
are times when we would need to control covariates that might influence the relationship we
are
STAT5602
Mills 2015
page 82
Loglinear Models - Estimating Parameters in Loglinear Models
Consider now a 2x2 table for categorical response variables X and Y , based on Poisson
sampling (Recall here that we have count data in the cells and the overall sam
STAT5602
S. Mills
page 61
Loglinear Models
Loglinear models are one way to describe association or interaction patterns among
categorical variables. They are used to model cell counts in contingency tables. They
specify how a cell count is related to the
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Mills 2015
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Two-Way Contingency Tables
Joint, Marginal and Conditional Distributions
Suppose X and Y are two categorical response variables, with X having I levels and Y having J levels and that
we classify each item in a popu
STAT5602
S. Mills (2015)
page 38
The Cross-Sectional Study: Test of Independence
The previous lectures considered a prospective study and a case-control retrospective
study. Now we will consider the situation of a cross-sectional study. In such a study o
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Mills (2015)
page 47
General IxJ Contingency Tables
We can now generalize the results from the prospective, retrospective and cross-sectional
studies and the Poisson sampling case to IxJ contingency tables. For such tables, the test
of hypothesi
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Mills 2015
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33
There will be occasions when we need to make use of the relationship between the odds ratio
(O.R.) and the relative risk (R.R.). In particular, when we wish to evaluate the relative risk
but cannot calculate it, we c
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S. Mills
page 67
Loglinear Models for Two-way Tables (continued)
Recall that the study investigating an association between smoking status and sleep
problems was conducted as a cross-sectional study was conducted, so that the cell counts
n ij fol