101108u - AGENDA Nonparametric Test Concepts U-Test H-Test...

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Sheet1 Page 1 AGENDA Nonparametric Test Concepts U-Test H-Test NON-PARAMETRIC TEST CONCEPTS Used when the sample data is either Non-normal (from goodness of fit test) Sample is too small to determine normality Rank sum tests Based on the rank order of sorted data sample rather than using the mean and standard deviation Equivalent sets of data with have similar ranks U Test° H Test° RANK SUM U-TEST Compares two different samples When n1 and n2 are each >8 Non-parametric alternative to either: Independent t test Smith-Satherwaithe test Procedure Very algorithmic HYPOTHESES TEST PROCEDURE Identify Ho and Ha Determine level of significance (generally 0.05 or 0.01) Determine B critical value± criterion from level of significance Calculate B test statistic ± Make decision Fail to reject Ho Reject Ho HYPOTHESES Ho The samples come from identical populations Ha The samples do not come from identical populations CRITICAL VALUE Standard normal distribution chart Two sided test Alpha typically 0.05 CRITICAL VALUE
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