
A Course in Categorical Data Analysis
By: Thomas Leonard
Paperback | 22 November 1999 | Edition Number 1
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204 Pages
23.4 x 15.6 x 1.27
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Although t-tests, linear regression, and analysis of variance are useful, valid methods for analysis of measurement data, categorical data requires a different methodology and techniques typically not encountered in introductory statistics courses. Developed from long experience in teaching categorical analysis to a multidisciplinary mix of undergraduate and graduate students, A Course in Categorical Data Analysis presents the easiest, most straightforward ways of extracting real-life conclusions from contingency tables. The author uses a Fisherian approach to categorical data analysis and incorporates numerous examples and real data sets. Although he offers S-PLUS routines through the Internet, readers do not need full knowledge of a statistical software package.
In this unique text, the author chooses methods and an approach that nurtures intuitive thinking. He trains his readers to focus not on finding a model that fits the data, but on using different models that may lead to meaningful conclusions. The book offers some simple, innovative techniques not highighted in other texts that help make the book accessible to a broad, interdisciplinary audience. A Course in Categorical Data Analysis enables readers to quickly use its offering of tools for drawing scientific, medical, or real-life conclusions from categorical data sets.
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Preface -- Special Software -- 1 Sampling Distributions -- 1.1 Experimental design for a population proportion -- 1.2 Further properties of the binomial distribution -- 1.3 Statistical procedures for the binomial distribution -- 1.4 The Poisson distribution -- 1.5 Statistical procedures for the Poisson distribution -- 1.6 The multinomial distribution -- 1.7 Sir Ronald Fisherâs conditioning result -- 1.8 More general sampling models -- 1.9 Generalising the binomial distribution -- 1.10 The discrete exponential family of distributions -- 1.11 Generalising the multinomial distribution -- Exercises -- 2 Two-by-Two Contingency Tables -- 2.1 Conditional probability and independence -- 2.2 Independence of rows and columns -- 2.3 Investigating independence, given observational data -- 2.4 Edwardsâ theorem -- 2.5 Log-contrasts and the multinomial distribution -- 2.6 The log-measure-of-association test -- 2.7 The product binomial model -- 2.8 The independent Poisson model -- 2.9 Fisherâs exact test -- 2.10 Power properties of our test procedures -- Exercises -- 3 Simpsonâs Paradox and 23 Tables -- 3.1 Probability theory -- 3.2 The Cornish pixie/Irish leprechaun example -- 3.3 Interpretation of Simpsonâs paradox -- 3.4 The three-directional approach -- 3.5 Measure of association analysis for 23 tables -- 3.6 Medical example -- 3.7 Testing equality for two 2 x 2 tables -- 3.8 The three-directional approach to the analysis of 23 tables (summary) -- Exercises -- 4 The Madison Drug and Alcohol Abuse Study -- 4.1 Experimental design -- 4.2 Statistical results (phase 3) of study -- 4.3 Further validation of results -- Exercises -- 5 Goodmanâs Full-Rank Interaction Analysis -- 5.1 Introductory example (no totals fixed) -- 5.2 Methodological developments (no totals fixed) -- 5.3 Numerical example (a four-corners model) -- 5.4 Methodological developments (overall total fixed) -- 5.5 Business school example (overall total fixed) -- 5.6 Methodological developments (row totals fixed) -- 5.7 Advertising example (row totals fixed) -- 5.8 Testing for equality of unconditional cell probabilities -- 5.9 Analysis of Berkeley admissions data -- 5.10 Further data sets -- Exercises -- 6 Further Examples and Extensions -- 6.1 Hypertension, obesity, and alcohol consumption -- 6.2 The Bristol cervical screening data -- 6.3 The multiple sclerosis data -- 6.4 The Dundee dental health data -- Exercises -- 7 Conditional Independence Models for Two-Way Tables -- 7.1 Fixed zeroes and missing observations -- 7.2 Incomplete tables -- 7.3 Perfectly fitting further cells -- 7.4 Complete tables -- 7.5 Further data sets -- Exercises -- 8 Logistic Regression -- 8.1 Review of general methodology -- 8.2 Analysing your data using S plus -- 8.3 Analysis of the mice exposure data -- 8.4 Analysis of space shuttle failure data -- 8.5 Further data sets -- Exercises -- 9 Further Regression Models -- 9.1 Regression models for Poisson data -- 9.2 The California earthquake data -- 9.3 A generalisation of logistic regression -- 9.4 Logistic regression for matched case-control studies -- 9.5 Further data -- Exercises -- 10 Final Topics -- 10.1 Continuous random variables -- 10.2 Logistic discrimination analysis -- 10.3 Testing the slope and quadratic term -- 10.4 Extensions -- 10.5 Three-way contingency tables -- Exercises -- References -- Index.
ISBN: 9781584881803
ISBN-10: 1584881801
Series: Chapman & Hall/CRC Texts in Statistical Science
Published: 22nd November 1999
Format: Paperback
Language: English
Number of Pages: 204
Audience: Professional and Scholarly
Publisher: CRC PR INC
Country of Publication: GB
Edition Number: 1
Dimensions (cm): 23.4 x 15.6 x 1.27
Weight (kg): 0.3
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