Question

For the following questions, identify the type of test that should be used. Simply use the corresponding letter: A) One-sample z test (for a mean); B) One-sample t-test; C) One-sample z-test for a proportion (or a chi-squared goodness-of-fit); D) Chi-square goodness of fit (and a z-test is not appropriate); E) Two-sample z-test for a difference between proportions (or a chi-squared test for independence); F) Chi-square test for independence (and a z-test is not appropriate); G) Simple regression; H) Multiple regression; I) Two-independent samples t-test (with homogeneity of variance); J) Two-independent samples t-test (without homogeneity of variance);       K) Two-related samples t-test; L) One-way (independent measures) ANOVA; M) One-way Repeated measures ANOVA; N) Two-way ANOVA (independent, mixed, or repeated measures); O) Mann-Whitney; P) Wilcoxon; Q) Kruskal-Wallis; R) Friedman; If you are going down the interval/ratio branch, it is safe to use parametric measures, unless something is directly stated that clearly indicates otherwise, or unless the data strongly and unambiguously indicates otherwise. Similarly, it is safe to assume homogeneity of variance unless it is clearly indicated otherwise. Do not try to analyze whether or not the experiment is tenable or practical or flawless. This is not your concern right now. Almost all of the below were written by students in this class.

7.         Judith wants to test whether or not people in Germany drink more than five beers a week. [Here’s a fact that is not a part of the question. It is only here for the curious. Germany is tied with Austria for third place in beer consumption at 104.7 liters per person.]

8.         Andrea wants to know if drinking milk affects amount of growth (in height). He measures how many ounces people drink per week and how much they grow in a year. He wants to know if the effect is significant.

9.         David wants to measure UC’s geographical knowledge. Specifically, he wants to know if there is a difference between campuses. He measures this by showing people a map of Europe and seeing whether or not they can tell her where Moravia is. The four UCs he tests are UCD, UCR, UCI, and UCSC.

Answer 1

7. I) Two-independent samples t-test (with homogeneity of variance)

8. G) Simple regression

9. D) Chi-square goodness of fit (and a z-test is not appropriate);