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An Introduction to Categorical Data Analysis, Second Edition by Alan Agresti

By Alan Agresti

The 1st variation of this article has offered over 19,600 copies. in spite of the fact that, using statistical equipment for express information has elevated dramatically lately, relatively for functions within the biomedical and social sciences. A moment version of the introductory model of the booklet will go well with it properly. Wiley additionally released a second variation of Categorical info Analysis, that's a sophisticated, extra technical textual content, in 2003.

 Content:
Chapter 1 advent (pages 1–20):
Chapter 2 Contingency Tables (pages 21–64):
Chapter three Generalized Linear types (pages 65–98):
Chapter four Logistic Regression (pages 99–136):
Chapter five development and using Logistic Regression types (pages 137–172):
Chapter 6 Multicategory Logit versions (pages 173–203):
Chapter 7 Loglinear types for Contingency Tables (pages 204–243):
Chapter eight types for Matched Pairs (pages 244–275):
Chapter nine Modeling Correlated, Clustered Responses (pages 276–296):
Chapter 10 Random results: Generalized Linear combined types (pages 297–324):
Chapter eleven A historic travel of express info research (pages 325–331):

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Extra info for An Introduction to Categorical Data Analysis, Second Edition

Example text

Usually, {πi+ } and {π+j } are unknown, as is this expected value. To estimate the expected frequencies, substitute sample proportions for the unknown marginal probabilities, giving μˆ ij = npi+ p+j = n ni+ n n+j n = ni+ n+j n This is the row total for the cell multiplied by the column total for the cell, divided by the overall sample size. The {μˆ ij } are called estimated expected frequencies. They have the same row and column totals as the observed counts, but they display the pattern of independence.

We then expect to observe four successes for every one failure. When odds = 1/4, a failure is four times as likely as a success. We then expect to observe one success for every four failures. 8. 3 THE ODDS RATIO In 2 × 2 tables, within row 1 the odds of success are odds1 = π1 /(1 − π1 ), and within row 2 the odds of success equal odds2 = π2 /(1 − π2 ). 3) is the odds ratio. Whereas the relative risk is a ratio of two probabilities, the odds ratio θ is a ratio of two odds. 1 Properties of the Odds Ratio The odds ratio can equal any nonnegative number.

05. 08. a. 05. b. 08. c. 04. 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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