res 342 week 2 supplement reading material

# res 342 week 2 supplement reading material - RES 342...

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RES 342 Research and Evaluation II RES/342 Week Two TWO OR MORE SAMPLE HYPOTHESIS TESTING Introduction Last week, we reviewed the 5-step procedure for performing a simple hypothesis test of a single mean. In this week, we examine hypothesis testing under several other conditions including large and small samples, comparing two independent samples, two dependent samples, Analysis of Variance (ANOVA), and proportions. This Week in Relation to the Course “Hypothesis testing refers to a general class of procedures for weighing the strength of statistical evidence-more specifically, for determining whether the evidence supporting one hypothesis over the other is sufficiently strong” (Glasserman, 2001, ¶1). While the 5-step procedure for performing various types of hypothesis tests is the same, the selection of the test statistic (step 3) depends on the nature of the hypothesis and the test data. Here we study how various test conditions alter the determination of the test statistic. Hypothesis Testing Conditions Two large, independent samples It is common to sample from two different populations to determine if the populations have the same mean. In this condition, when the sample size is sufficiently large (30 or more), and the samples are independent. The test statistic is the z statistic, calculated as: Because the sample size is large enough, this formula works effectively with the standard deviation of the sample. This is fortunate because we usually do not know the standard deviation of the population from which the sample was drawn The formula uses the difference between the

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