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Means Tests

Hypothesis Testing. Assumptions Testing (Normality). Means Tests. Normality Tests. Many Statistical Tests require normal data You must verify normality with a test. Testing for Normality. How do we test for normality?

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Means Tests

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  1. Hypothesis Testing Assumptions Testing (Normality) Means Tests

  2. Normality Tests Many Statistical Tests require normal data You must verify normality with a test

  3. Testing for Normality How do we test for normality? Compute the linear correlation coefficient between the sample data and normal scores

  4. Hypothesis Testing Normality Test H0: (null hypothesis): data normally distributed Ha: (alternative hypothesis): Data not normal

  5. Hypothesis Testing Normality Test Test Statistic P-value Critical Value (Alpha ɑ) = ??

  6. How to we use p? Compare p-value from test to specified significance level (alpha, α=0.05) If the p-value is less than or equal to α=0.05, reject the null hypothesis, Otherwise, do not reject (fail to) the null hypothesis

  7. Hypothesis Testing Normality Test P-value: <0.01 Alpha (ɑ) = 0.05 Since p is < ɑ Reject the null hypothesis

  8. Hypothesis Testing Normality Test Since we reject the null hypothesis H0: (null hypothesis): data normally distributed We accept the alternative hypothesis Ha: (alternative hypothesis): Data not normal …and determine that data are not normally distributed

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