By Alan Agresti

**Praise for the 1st Edition**

"This is a wonderful textual content from which to coach express facts research, at a number of degrees. . . [t]his booklet will be very hugely recommended."

—*Short e-book Reviews*

"Of nice curiosity to capability readers is the diversity of fields which are represented within the examples: healthiness care, monetary, executive, product advertising, and activities, to call a few."

—*Journal of caliber Technology*

"Alan Agresti has written one other outstanding account of the research of specific data."

—The Statistician

The use of statistical equipment for express info is ever expanding in today's international. *An creation to specific information research, moment Edition* offers an utilized creation to an important equipment for interpreting specific facts. This re-creation summarizes tools that experience lengthy performed a famous position in information research, reminiscent of chi-squared exams, and likewise areas distinctive emphasis on logistic regression and different modeling strategies for univariate and correlated multivariate express responses.

This moment version 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 line with generalized linear types* An emphasis on logistic regression modeling* An appendix that demonstrates using SAS(r) for all tools* An exciting old viewpoint at the improvement of the tools* really expert tools for ordinal information, small samples, multicategory facts, and coupled pairs* greater than a hundred analyses of genuine information units and approximately three hundred exercises

Written in an utilized, nontechnical variety, the booklet illustrates tools utilizing a large choice of genuine information, together with scientific medical trials, drug use via young ones, basketball taking pictures, horseshoe crab mating, environmental critiques, correlates of happiness, and masses more.

*An advent to specific information research, moment Edition* is a useful instrument for social, behavioral, and biomedical scientists, in addition to researchers in public wellbeing and fitness, advertising and marketing, schooling, organic and agricultural sciences, and commercial quality controls.

**Read Online or Download An Introduction to Categorical Data Analysis (Wiley Series in Probability and Statistics) PDF**

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

**Sample text**

Let X denote the true state of a person, with categories 1 = diseased, 2 = not diseased, and let Y = outcome of diagnostic test, with categories 1 = positive, 2 = negative. Then, sensitivity = P (Y = 1|X = 1), speciﬁcity = P (Y = 2|X = 2) The higher the sensitivity and speciﬁcity, the better the diagnostic test. In practice, if you get a positive result, what is more relevant is P (X = 1|Y = 1). Given that the diagnostic test says you have the disease, what is the probability you truly have it?

B. 50. c. 0 for the mid P -value? 15 If Y is a variate and c is a positive constant, then the standard deviation of the distribution of cY equals cσ (Y ). Suppose Y is a binomial variate, and let p = Y /n. a. √ Based on the binomial standard deviation for Y , show that σ (p) = [π(1 − π)/n]. b. 50. 16 Using calculus, it is easier to derive the maximum of the log of the likelihood function, L = log , than the likelihood function itself. Both functions have maximum at the same value, so it is sufﬁcient to do either.

Note that the test with mid P -value can be “conservative” [having actual P (type I error) below the desired value] or “liberal” [having actual P (type I error) above the desired value]. The test with the ordinary P -value cannot be liberal. 96) is a solution to the equation (1 + √ z02 /n)π02 + (−2p − z02 /n)π0 + p 2 = 0. 4 for the probability of success when a clinical trial has nine successes in 10 trials. 1 cross classiﬁes a sample of Americans according to their gender and their opinion about an afterlife.