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Chapter 17 Business Research Methods Donald Cooper Pamela Schindler Irwin/McGraw-Hill ©The McGraw-Hill Companies, Inc., 2001 Chapter 17 Hypothesis Testing Irwin/McGraw-Hill ©The McGraw-Hill Companies, Inc., 2001 Approaches to Click to edit Master title style Hypothesis Testing Slide 17 - 1 Classical Statistics sampling-theory approach objective view of probability decision making rests on analysis of available sampling data Bayesian Statistics extension of classical statistics consider all other available information Irwin/McGraw-Hill The McGraw-Hill Companies, Inc., 2001 ClickTypes to editof Master title style Hypotheses Slide 17 - 2 Null that no statistically significant difference exists between the parameter and the statistic being compared Alternative logical opposite of the null hypothesis that a statistically significant difference does exist between the parameter and the statistic being compared. Irwin/McGraw-Hill The McGraw-Hill Companies, Inc., 2001 Click to of editHypothesis Master titleTesting style Logic Slide 17 - 3 Two tailed test nondirectional test considers two possibilities One tailed test directional test places entire probability of an unlikely outcome to the tail specified by the alternative hypothesis Irwin/McGraw-Hill The McGraw-Hill Companies, Inc., 2001 Click to edit Errors Master in title style Decision Testing Slide 17 - 4 Type I error a true null hypothesis is rejected Type II error one fails to reject a false null hypothesis Irwin/McGraw-Hill The McGraw-Hill Companies, Inc., 2001 Testing for Statistical Click to edit Master title style Significance Slide 17 - 5 State the null hypothesis Choose the statistical test Select the desired level of significance Compute the calculated difference value Obtain the critical value Interpret the test Irwin/McGraw-Hill The McGraw-Hill Companies, Inc., 2001 Click to edit Master title style Classes of Significance Tests Slide 17 - 6 Parametric tests Z or t test is used to determine the statistical significance between a sample distribution mean and a population parameter Assumptions: independent observations normal distributions populations have equal variances at least interval data measurement scale Irwin/McGraw-Hill The McGraw-Hill Companies, Inc., 2001 Click to edit Master title style Classes of Significance Tests Slide 17 - 7 Nonparametric tests Chi-square test is used for situations in which a test for differences between samples is required Assumptions independent observations for some tests only normal distribution not necessary homogeneity of variance not necessary appropriate for nominal and ordinal data, may be used for interval or ratio data Irwin/McGraw-Hill The McGraw-Hill Companies, Inc., 2001 ClicktotoTest edit the Master style How Nulltitle Hypothesis Slide 17 - 8 Analysis of variance (ANOVA) the statistical method for testing the null hypothesis that means of several populations are equal Irwin/McGraw-Hill The McGraw-Hill Companies, Inc., 2001 Click to editComparison Master title style Multiple Tests Slide 17 - 9 Multiple comparison procedures test the difference between each pair of means and indicate significantly different group means at a specified alpha level (<.05) use group means and incorporate the MSerror term of the F ratio Irwin/McGraw-Hill The McGraw-Hill Companies, Inc., 2001 ClickHow to edittoMaster style Selecttitle a Test Slide 17 - 10 Which does the test involve? one sample, two samples k samples If two or k samples,are the individual cases independent or related? Is the measurement scale nominal, ordinal, interval, or ratio? Irwin/McGraw-Hill The McGraw-Hill Companies, Inc., 2001 Click to edit Master titleTest style K Related Samples Slide 17 - 11 Use when: The grouping factor has more than two levels Observations or subjects are matched . . . or the same subject is measured more than once Interval or ratio data Irwin/McGraw-Hill The McGraw-Hill Companies, Inc., 2001