An Introduction to Categorical Data Analysis (Wiley Series by Alan Agresti

By Alan Agresti

Praise for the 1st Edition
"This is an excellent textual content from which to coach specific information research, at a number of degrees. . . [t]his publication could be very hugely recommended."
Short booklet Reviews
"Of nice curiosity to strength readers is the diversity of fields which are represented within the examples: well-being care, monetary, govt, product advertising, and activities, to call a few."
Journal of caliber Technology
"Alan Agresti has written one other amazing account of the research of express data."
—The Statistician
The use of statistical tools for express facts is ever expanding in today's international. An advent to express info research, moment Edition offers an utilized advent to an important equipment for reading express information. This new version summarizes tools that experience lengthy performed a trendy function in facts research, similar to chi-squared assessments, and likewise locations distinct emphasis on logistic regression and different modeling innovations for univariate and correlated multivariate specific responses.
This moment variation features:* new chapters at the tools for clustered info, with an emphasis on generalized estimating equations (GEE) and random results versions* A unified point of view in keeping with generalized linear versions* An emphasis on logistic regression modeling* An appendix that demonstrates using SAS(r) for all equipment* An enjoyable historic point of view at the improvement of the equipment* really expert tools for ordinal information, small samples, multicategory info, and paired pairs* greater than a hundred analyses of actual info units and approximately three hundred exercises
Written in an utilized, nontechnical type, the e-book illustrates tools utilizing a large choice of genuine facts, together with clinical medical trials, drug use by way of children, basketball taking pictures, horseshoe crab mating, environmental evaluations, correlates of happiness, and lots more and plenty more.
An creation to specific information research, moment Edition is a useful instrument for social, behavioral, and biomedical scientists, in addition to researchers in public health and wellbeing, advertising, schooling, organic and agricultural sciences, and business qc.

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Additional resources for An Introduction to Categorical Data Analysis (Wiley Series in Probability and Statistics)

Example text

The study was “blind” – the physicians in the study did not know which type of pill they were taking. 3 as independent binomial samples. 0171. 0094. 0077. 011). Since this interval contains only positive values, we conclude that π1 − π2 > 0, that is, π1 > π2 . For males, taking aspirin appears to result in a diminished risk of heart attack. 3 Relative Risk A difference between two proportions of a certain fixed size usually is more important when both proportions are near 0 or 1 than when they are near the middle of the range.

Using the difference of proportions alone to compare two groups can be misleading when the proportions are both close to zero. The sampling distribution of the sample relative risk is highly skewed unless the sample sizes are quite large. 15). 30). 30 times the proportion of MI cases for male physicians taking aspirin. This indicates that the risk of MI is at least 43% higher for the placebo group. The ratio of failure probabilities, (1 − π1 )/(1 − π2 ), takes a different value than the ratio of the success probabilities.

For a sample of size n with cell counts {nij }, the values {μij = nπij } are expected frequencies. They represent the values of the expectations {E(nij )} when H0 is true. This notation refers to two-way tables, but similar notions apply to a set of counts for a single categorical variable or to multiway tables. To illustrate, for each of n observations of a binary variable, let π denote the probability of success. 50, the expected frequency of successes equals μ = nπ = n/2, which also equals the expected frequency of failures.

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