# 11_13_09 - STAT 409 Examples for 11/13/2009 The 2 Test of...

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STAT 409 Examples for 11/13/2009 Fall 2009 The χ 2 Test of Homogeneity ( one margin fixed ) Independent random samples from r populations. Each sample classified in c response categories. H 0 : In each response category, the probabilities are equal for all r populations. The χ 2 Test of Independence ( neither margin fixed ) A random sample of size n is simultaneously classified with respect to two characteristics, one has r categories and the other c categories. H 0 : The two classifications are independent; that is, each cell probability is the product of the row and column marginal probabilities. Test Statistic: ( 29 - = cells E E O Q 2 × = = total grand total column total row E frequency cell observed O Rejection Region: Reject H 0 if Q 2 α χ , d.f. = ( No. of rows – 1 ) × ( No. of columns – 1 ) = ( r – 1 ) × ( c – 1 )

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1. A group of 500 children (250 boys and 250 girls) were asked to identify their

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## This note was uploaded on 10/12/2011 for the course STATISTICS stat 410 taught by Professor Stepanov during the Spring '11 term at University of Illinois, Urbana Champaign.

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11_13_09 - STAT 409 Examples for 11/13/2009 The 2 Test of...

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