The sampling distribution of the difference

9-1: Understand the purpose and characteristics of the sampling distribution of the difference.

9-2: Understand the difference between the sampling distribution of the mean (Ch 7) and the sampling distribution of the difference.

9-3: Understand the difference between the standard error of the mean (Ch 7) and the standard error of the difference.

Inferential statistics: Testing the difference between two sample means

9-4: Understand, in testing the difference between two sample means, what is represented by the null and alternative hypotheses (H0 and H1).

9-5: Understand the differences between the test of one sample mean (Ch 7) and the difference between two sample means.

9-6: Calculate and interpret the degrees of freedom (df), the standard error of the difference () and the t-test for independent means.

9-7: Understand mathematical assumptions related to the t-test for independent means.

9-8: Understand what it means to violate the assumption of heterogeneity of variance. 

9-9: Understand what it means for a statistic to be ‘robust’.

Inferential statistics: Testing the difference between two sample means (unequal sample sizes)

9-10: Understand how the calculation of the t-test for the difference between two sample means changes when the sample sizes of the two groups are unequal.

Inferential statistics: Testing the difference between paired means

9-11: Understand the differences between between-subjects and within-subjects research designs.

9-12: Describe types of research situations where one might use a within-subjects design.

9-13: Calculate and interpret the t-test for dependent means.