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NONPARAMETRIC TESTS. When to use. When data is clearly ordinal or nominal. When we have a very skewed distribution. Chi Square Χ 2. Goodness of fit (One sample case) . H o : there is no difference in the expected number of winners starting from each post position . df = C - 1 = 7.
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When to use • When data is clearly ordinal or nominal. • When we have a very skewed distribution.
Chi SquareΧ 2 Goodness of fit (One sample case)
Ho: there is no difference in the expected number of winners starting from each post position.
Two classification variables • Contingency Table analysis • CROSSTAB In SPSS
Chi Square Assumptions • Independence • Small expected frequencies
Potential Misuses of Chi square • Using percentages • Failing to include non-occurrences
Chi square:Effect Size • Measure of association • phi coefficient • Cramer’s phi or Cramer’s V
Wilcoxon Rank-sum test Wilcoxon W = 21 Mann-Whitney U test
Wilcoxon Matched-Pairs Signed-Rank test T-= -9 T+ = 27