Statistical Analysis of Categorical Data

by Lloyd, Chris J.

• ISBN13: 9780471290087
• ISBN10: 0471290084
• Edition: 1st
• Format: Hardcover
• Copyright: 1999-03-29
• Publisher: Wiley-Interscience

Summary

Supported by an ftp site, which describes the facilities important to a statistician wanting to analyze and report on categorical data, Statistical Analysis of Categorical Data is an excellent resource for students, practicing statisticians, and researchers with a special interest in count data.

Author Biography

<b>CHRIS J. LLOYD, PhD</b>, is Associate Professor at the Australian Graduate School of Management, University of New South Wales.

Table of Contents

The Tools of Statistical Inference	1	(67)
Statistical Models	2	(7)
Fitting Statistical Models	9	(10)
Large Sample Estimation Theory	19	(13)
Testing One Parameter	32	(8)
Testing Several Parameters	40	(11)
Transforming Data and Parameters	51	(8)
Exercises	59	(9)
Distribution Theory for Count Data	68	(51)
Categorical Data	68	(1)
Multinomial Models	69	(11)
Poisson Models	80	(4)
The Multinomial-Poisson Connection	84	(3)
Goodness-of-Fit	87	(14)
Confidence Intervals	101	(6)
Exercises	107	(12)
Binary Contingency Tables	119	(56)
Binomial Data	120	(4)
Comparing Two Binomial Samples	124	(7)
Comparing Several Binomial Samples	131	(12)
Analysis of Several 2 x 2 Tables	143	(7)
Inference Using Weighted Least Squares	150	(3)
Some Cautions and Qualifications	153	(10)
Exercises	163	(12)
Binomial Regression Models	175	(90)
Linear Binomial Models	175	(23)
Diagnosis of Model Inadequacy	198	(21)
Modeling Relative Risk	219	(7)
Modeling Over-Dispersion	226	(10)
Approximation by Normal GLM's	236	(12)
Inference on Generalized Linear Models	248	(4)
Exercises	252	(13)
Smoothing Binomial Data	265	(33)
Smoothing a Conditional Mean	265	(7)
Smoothing Binary Data	272	(11)
Estimating Attributable Response	283	(4)
Smoothing Residuals	287	(7)
Goodness-of-fit Against a Smooth	294	(2)
Exercises	296	(2)
Poisson Regression Models	298	(97)
Log-Linear Models	298	(13)
Multinomial Logit Models	311	(15)
Modeling Independence	326	(12)
Some Models for Ordinal Data	338	(14)
Models for Incomplete Tables	352	(15)
Multiple Record Systems	367	(17)
Exercises	384	(11)
Conditional Inference	395	(68)
Conditional Inferences for 2 x 2 Tables	396	(11)
Conditional Inferences for 2 x k Tables	407	(6)
Conditional Inferences on Linear Models	413	(5)
Conditional Inferences for r x c Tables	418	(4)
Conditional Inferences for 2 x 2 x k Tables	422	(5)
Conditional Inference for Three-Way Tables	427	(4)
Conditional Logistic Regression	431	(4)
Conditional Goodness-of-Fit Tests	435	(2)
Saddlepoint Approximation*	437	(26)
Index	463