Exam 15: Non-Parametric Tests

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Why might a spearman correlation be appropriate for a given dataset?

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If using a two-tailed spearman correlation with 10 pairs and an alpha level of .05, what is the critical value?

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A researcher hypothesizes that individuals' interest in politics is related to the amount of television they watch. He asks participants to rate on a scale from 1 (not interested at all) to 10 (extremely interested) the extent to which they are interested in politics, and also asks for the amount of television they watch. Below are the data Interest TV 6 45 5 79 7 110 7 75 9 163 3 60 4 85 1 64 7 80 2 30 8 40 9 90 3 120 5 90 What is the conclusion?

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With regards to skewed distributions, which best describes them?

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A researcher has 16 matched pairs for a Wilcoxon Signed-Rank test. For this two-tailed Wilcoxon Signed-Rank test to be significant at α\alpha = .05, the test statistic must be…

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A researcher hypothesizes that individuals' interest in politics is related to the amount of television they watch. He asks participants to rate on a scale from 1 (not interested at all) to 10 (extremely interested) the extent to which they are interested in politics, and also asks for the amount of television they watch. Below are the data Interest TV 6 45 5 79 7 110 7 75 9 163 3 60 4 85 1 64 7 80 2 30 8 40 9 90 3 120 5 90 What is the critical value, assuming a two-tailed test and alpha of .05?

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The data below that records the number of inches of snowfall in different parts of the country Score 22 24 26 47 52 36 44 26 35 59 21 Rank the data.

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Ranked data is best described to be on an ordinal scale.

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Explain why non-parametric tests are important. Be sure to discuss when they are used, and any important controversies that might influence their use.

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A researcher hypothesizes that individuals' interest in politics is related to the amount of television they watch. He asks participants to rate on a scale from 1 (not interested at all) to 10 (extremely interested) the extent to which they are interested in politics, and also asks for the amount of television they watch. Below are the data Interest TV 6 45 5 79 7 110 7 75 9 163 3 60 4 85 1 64 7 80 2 30 8 40 9 90 3 120 5 90 What is the observed correlation?

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The null hypothesis for a Mann-Whitney U-test states that the distributions of ranked data for both groups are different.

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Supporters of eugenics would likely agree that…

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The Wilcoxon Signed-Rank test produces a t value. If the observed t -value is greater than the critical value, then the results are deemed to be statistically significant.

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A researcher has two independent groups with ranked data with 20 participants in each group. When using a Mann-Whitney U test (assume assuming α = 0.05), the researcher has data that is statistically significant if…

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Why is it the case that skewed data poses a problem for parametric tests?

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Consider the following data: 6, 8, 10, 10, 10, 11, 12, 15, 18, 18, 19, 20, 24, 25. The data in rank 4 is ___ and rank 11 is ____.

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In 2017, Nintendo (a Japanese video game company) released a new console called the Nintendo Switch. Nintendo was interested to see how existing customers with their previous generation console (i.e., the Wii U) rate the new product. Below are data of individuals who rated the first console and now rated the Nintendo Switch. Nintendo decided that given the small sample and ranked data, they would use a Wilcoxon Ranked-Sign test. Wii U Switch 7 8 5 9 6 7 4 2 8 6 9 10 2 9 4 8 7 9 7 8 What is the test statistic after calculating the Wilcoxon Signed Rank test?

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Statistics can be manipulated for the author's benefit, so sometimes we must be careful how must we trust them.

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