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Binomial distribution

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Exploring Confidence Intervals In The Case Of Binomial And Hypergeometric Distributions, Irene Mojica Jan 2011

Exploring Confidence Intervals In The Case Of Binomial And Hypergeometric Distributions, Irene Mojica

Electronic Theses and Dissertations

The objective of this thesis is to examine one of the most fundamental and yet important methodologies used in statistical practice, interval estimation of the probability of success in a binomial distribution. The textbook confidence interval for this problem is known as the Wald interval as it comes from the Wald large sample test for the binomial case. It is generally acknowledged that the actual coverage probability of the standard interval is poor for values of p near 0 or 1. Moreover, recently it has been documented that the coverage properties of the standard interval can be inconsistent even if …


Statistical Inference For The Risk Ratio In 2x2 Binomial Trials With Stuctural Zero, Suzhong Tian Jan 2004

Statistical Inference For The Risk Ratio In 2x2 Binomial Trials With Stuctural Zero, Suzhong Tian

Electronic Theses and Dissertations

In some statistical analyses, researchers may encounter the problem of analyzing correlated 2x2 table with a structural zero in one of the off diagonal cells. Structural zeros arise in situation where it is theoretically impossible for a particular cell to be observed. For instance, Agresti (1990) provided an example involving a sample of 156 calves born in Okeechobee County, Florida. Calves are first classified according to whether they get a pneumonia infection within certain time. They are then classified again according to whether they get a secondary infection within a period after the first infection clears up. Because subjects cannot, …