Chapter 13 formulas

# Chapter 13 formulas - Formulas Chapter Thirteen:...

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Formulas Chapter Thirteen: Categorical Data Analysis Randall Miller Key Symbols o ,0 i p Value of multinomial probability 1 p hypothesized in 0 H o 2 χ Chi-square test statistic used in analysis of categorical data o i n Number of observed outcomes in cell i of a one-way table o i E Expected number of outcomes in cell i of a one-way table o ij p Probability of an outcome in row i and column j of a two-way table o ij n Number of observed outcomes in row i and column j of a two-way table o ij E Expected number of observed outcomes in row i and column j of a two-way table o i R Total number of outcomes in row i of a two-way table o j C Total number of outcomes in column j of a two-way table Formulas A Test of a Hypothesis about Multinomial Probabilities: One-Way Table 0 1 1,0 2 2,0 : , ,..., kk Hp pp p p p = = Where 1,0 , ,..., k pp p represent the hypothesized values of the multinomial probabilities : a H At least one of the multinomial probabilities does not equal its hypothesized value Test statistic : [ ] 2

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## This note was uploaded on 07/23/2011 for the course STA 3123 taught by Professor Staff during the Fall '08 term at FIU.

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Chapter 13 formulas - Formulas Chapter Thirteen:...

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