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

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.

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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.

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