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NONPARAMETRIC TESTS

NONPARAMETRIC TESTS

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NONPARAMETRIC TESTS

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  1. NONPARAMETRIC TESTS

  2. When to use • When data is clearly ordinal or nominal. • When we have a very skewed distribution.

  3. Chi SquareΧ 2 Goodness of fit (One sample case)

  4. Ho: there is no difference in the expected number of winners starting from each post position.

  5. df = C - 1 = 7

  6. Two classification variables • Contingency Table analysis • CROSSTAB In SPSS

  7. Ho: Littering and message about littering are independent.

  8. df: = (r-1)(c-1)

  9. Chi Square Assumptions • Independence • Small expected frequencies

  10. Potential Misuses of Chi square • Using percentages • Failing to include non-occurrences

  11. Chi square:Effect Size • Measure of association • phi coefficient • Cramer’s phi or Cramer’s V

  12. Effect size continued

  13. Wilcoxon Rank-sum test Wilcoxon W = 21 Mann-Whitney U test

  14. Wilcoxon Matched-Pairs Signed-Rank test T-= -9 T+ = 27