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Longitudinal Categorical Data Analysis

Part of the Springer Series in Statistics Book Series

DOI: 10.1007/978-1-4939-2137-9

ISBN: 978-1-4939-2136-2

Publisher: Springer New York - Springer Journals

Oct 11, 2014

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Chapter 1Introduction

Sutradhar, Brajendra C.

Pages: 1 –6

[In univariate binary regression analysis, it is of interest to assess the possible dependence of the binary response variable upon an explanatory or regressor variable. The regressor variables are also known as covariates which can be dichotomized or multinomial (categorical) or can take values...
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Chapter 2Overview of Regression Models for Cross-Sectional Univariate Categorical Data

Sutradhar, Brajendra C.

Pages: 7 –87

[Let there be K individuals and an individual responds to one of the J categories. For j = 1, …, J, let πj denote the marginal probability that the response of an individual belongs to the jth category so that ∑j=1Jπj=1\documentclass[12pt]{minimal} \usepackage{amsmath}...
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Chapter 3Regression Models For Univariate Longitudinal Stationary Categorical Data

Sutradhar, Brajendra C.

Pages: 89 –246

[Note that the multinomial model discussed in Chap. 2 and the inferences therein for this model are described for a cross-sectional study, where the multinomial responses with corresponding covariates are collected from a large number of independent individuals at a single point of time. There...
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Chapter 4Regression Models For Univariate Longitudinal Non-stationary Categorical Data

Sutradhar, Brajendra C.

Pages: 247 –280

[In Chap. 3, specifically in Sects. 3.4.1 and 3.4.2, we have studied covariates free LDCMP (linear dynamic conditional multinomial probability) and MDL (multinomial dynamic logit) models. Because the models were free from covariates, the underlying correlation structures (see (3.157) for LDCMP...
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Chapter 5Multinomial Models for Cross-Sectional Bivariate Categorical Data

Sutradhar, Brajendra C.

Pages: 281 –338

[Let Yi and Zi denote the two multinomial response variables. Suppose that Yi from the ith (i = 1, …, K) individual belongs to one of J categories, and Zi belongs to one of R categories (J ≥ 2, R ≥ 2). For example, in a diabetic retinopathy (DR) study, when left and right eyes retinopathy status...
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Chapter 6Multinomial Models for Longitudinal Bivariate Categorical Data

Sutradhar, Brajendra C.

Pages: 339 –366

[Recall from Chap. 4, specifically from Sect. 4.4 that the marginal probability at initial time (t = 1) and all possible lag 1 conditional probabilities for a multinomial response repeated over time were modeled as:]

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