Exam 14: Nonparametric Inferential Statistics

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The nonparametric equivalent to the one-way repeated measures ANOVA is the _____ test.

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C

Imagine I conducted the following experiment: I used gender as a nonmanipulated independent variable and measured performance in my class. I measured performance by ranking everyone in the class, giving the person with the highest grade a 1, the person with the 2nd highest grade a 2, and so forth. Which statistic would I use to determine any differences in performance between these two groups?

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Because the data are ordinal (ranked) you would use a Wilcoxon test. Furthermore, because the nonmanipulated independent variable is between-subjects (gender), the exact test would be the Wilcoxon Rank-Sum Test.​

You notice that in your introductory psychology class, it appears that more men tend to sit near the door and more women opposite the door. In order to determine whether this difference is significant, you collect data on the seating preferences for the students in your class. The data appear below. You notice that in your introductory psychology class, it appears that more men tend to sit near the door and more women opposite the door. In order to determine whether this difference is significant, you collect data on the seating preferences for the students in your class. The data appear below.    a) What statistical test should be used to analyze these data?  b) Identify H0 and Ha for this study. c) Conduct the appropriate analysis. ? d) Should H0 be rejected? What should the researcher conclude? a) What statistical test should be used to analyze these data? b) Identify H0 and Ha for this study. c) Conduct the appropriate analysis. ? d) Should H0 be rejected? What should the researcher conclude?

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a) The chi-square test of independence should be used.
b) H0: There are no differences in seating preference. Ha: There are differences in seating preference.
c) 2 (1, N = 71) = 4.99, p < .05.
d) Yes, H0 should be rejected. The researcher should conclude that significantly more males sit near the door and significantly more females sit opposite the door. 1

The nonparametric equivalent to the one-way randomized ANOVA is the _____ test.

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Chi-square tests are to _____ data as Wilcoxon tests are to _____ data.

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Nonparametric is to parametric as _____ is to _____.

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Wilcoxon rank-sum test is to _____ as Wilcoxon matched-pairs signed-ranks T test is to _____.

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The _____ is a nonparametric inferential test for comparing sample medians of two dependent or related groups of scores.

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The calculation of the df for the χ2 test of independence is

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What are the assumptions of the Wilcoxon rank-sum test?

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The Wilcoxon tests are used with _____ data.

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When using the Wilcoxon tests, the obtained value must be ______ the critical value in order to establish statistical significance.

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A researcher is interested in comparing the self-esteem of students who volunteer for community service versus those who do not. The researcher assumes that those who complete community service will have higher self-esteem scores. Self-esteem scores tend to be skewed (not normally distributed). The self-esteem scores appear below. Higher scores indicate higher self-esteem levels. No Community Service Community Service A researcher is interested in comparing the self-esteem of students who volunteer for community service versus those who do not. The researcher assumes that those who complete community service will have higher self-esteem scores. Self-esteem scores tend to be skewed (not normally distributed). The self-esteem scores appear below. Higher scores indicate higher self-esteem levels. No Community Service Community Service    a) What statistical test should be used to analyze these data?  b) Identify H0 and Ha for this study. c) Conduct the appropriate analysis. d) Should H0 be rejected? What should the researcher conclude? a) What statistical test should be used to analyze these data? b) Identify H0 and Ha for this study. c) Conduct the appropriate analysis. d) Should H0 be rejected? What should the researcher conclude?

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The _____ is a nonparametric inferential test for comparing sample medians of two independent groups of scores.

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Chi-square is calculated by summing the [(_____ - _____)2 divided by _____].

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What are the assumptions of the χ2 test?

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Which of the following is not an assumption of the Wilcoxon matched-pairs signed-ranks T test?

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Explain when you would use the Kruskal-Wallis test versus the Friedman test.

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Which of the following is not an assumption of the Wilcoxon rank-sum test?

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Which of the following is not an assumption of the χ2 goodness-of-fit test?

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