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lecture_09

# lecture_09 - Two-Way Contingency Tables Lecture 09 ILRST...

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Two-Way Contingency Tables Lecture 09 ILRST 411

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Exact inference for small   samples A small sample probability distribution for  the cell counts is defined for the set of  tables having the same row and column  totals as the observed data. The distribution is hypergeometric, which  applies to this restricted set of tables having  fixed row and column totals.
Hypergeometric Distribution Hypergeometric distribution is similar to binomial  distribution except that the trials are not  independent Let us consider a set of N elements of which k are  looked upon as successes and the other N-k as  failures.  Like binomial distribution we are interested in the  probability of getting x successes in n trials. We are choosing, without replacement ,n of the N  elements contained in the set.

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Hypergeometric Distribution -  Example As a part of an air pollution survey, an  inspector decides to examine the exhaust of  6  of a company’s  24  trucks. If  4  of the  company’s truck emit excessive amounts of  pollutants, what is the probability that  none   of them will be included in the inspector’s  sample?
Hypergeometric distribution So Let’s say we have  N

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• Spring '06
• DAS,T.
• Null hypothesis, Cumulative distribution function, Discrete probability distribution, Fisher's exact test, Hypergeometric Distribution

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