A chi-square test is used to determine if there is a significant difference between the observed and expected frequencies in a contingency table. If the observed frequencies are O1, O2, O3 and expected frequencies are E1, E2, E3, what is the formula for calculating the chi-square statistic?
A chi-square test is used to determine if there is a significant difference between the observed and expected frequencies in a contingency table. If the observed frequencies are O1, O2, O3 and expected frequencies are E1, E2, E3, what is the formula for calculating the chi-square statistic?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A chi-square test is used to determine if there is a significant difference between the observed and expected frequencies in a contingency table. If the observed frequencies are O1, O2, O3 and expected frequencies are E1, E2, E3, what is the formula for calculating the chi-square statistic?
Expert Solution
Step 1
The formula for calculating the chi-square statistic is:
χ2 = Σ((Oi - Ei)^2 / Ei), where i = 1,2,3.... (the number of categories)
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