9.2-9.3

# 9.2-9.3 - Inference for two-way tables Hypothesis of no...

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Analysis of two-way tables Inference for two-way tables

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Inference for two-way tables Hypothesis of no association Two sampling designs and the associated models Testing for homogeneity Testing for independence The chi-square test The Chi-square distribution
We can use the chi-square test to Models for two-way tables

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Testing for independence We have now a single random sample from a single population. Each individual in this SRS of size n is classified according to two categorical variables. The results are then summarized in a two-way table. The null hypothesis is that the row and column variables are independent . The alternative hypothesis is that they are dependent.
Successful firms Franchise businesses are sometimes given an exclusive territory by contract. This means that the new outlet will not have to compete with other outlets of the same chain within its own territory. How does the presence of an exclusive-territory clause in the contract relate to the survival of the business? A random sample of 170 new franchises recorded two categorical variables each: (1) whether it was successful or not (based on economic criteria) and (2) whether it had an exclusive-territory contract. This is a 2x2 table (two levels for success, yes/no; two levels for exclusive territory, yes/no). We will test H 0 : The variables exclusive clause and success are independent.

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Music and wine purchase decision Does background music in supermarkets influence customer purchasing decisions?
Wine purchased for each kind of music played (column percents) Music played for each kind of wine purchased (row percents)

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11 p 12 p 1c p 21 p 22 p 2c ….. p
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## This note was uploaded on 09/04/2010 for the course STAT 131 taught by Professor Isber during the Spring '08 term at Berkeley.

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9.2-9.3 - Inference for two-way tables Hypothesis of no...

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