Exam 19: Nonparametric Statistics

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The nonparametric counterpart of the parametric one-way analysis of variance F-test is the:

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When the relationship between two variables is very strong and decreasing in a linear way,the Spearman rank-correlation coefficient will be close to:

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Coffee ​ A supermarket chain has its own house brand of coffee.The general manager claims that their coffee is better than the coffee sold by a well-known Coffee Shop chain.To test the claim 40 individuals are randomly selected to participate in the following experiment.Each respondent is given the two brands of coffee to taste (without any identification)and asked to judge which one is better.Suppose that 25 people judge the Coffee Shop chain brand better,four say that the brands taste the same,and the rest claim that the supermarket brand is better. ​ ​ -{Coffee Narrative} Which test is appropriate for this situation?

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Frozen TV Dinner The general manager of a frozen TV dinner maker must decide which one of four new dinners to introduce to the market.He decides to perform an experiment to help make a decision.Each dinner is sampled by ten people who then rate the product on a 7-point scale,where 1 = poor,and 7 = excellent.The results are shown below. Frozen TV Dinner  The general manager of a frozen TV dinner maker must decide which one of four new dinners to introduce to the market.He decides to perform an experiment to help make a decision.Each dinner is sampled by ten people who then rate the product on a 7-point scale,where 1 = poor,and 7 = excellent.The results are shown below.   ​ ​ -{Frozen TV Dinner Narrative} Which statistical technique can the general manager use to help him make a decision? ​ ​ -{Frozen TV Dinner Narrative} Which statistical technique can the general manager use to help him make a decision?

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When n is greater than or equal to 10,the sign test statistic has an approximate ____________________ distribution.

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To apply the Wilcoxon rank sum test to determine whether the location of population 1 is different from the location of population 2,the samples must be independent.

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When n > 30,rs has an approximate normal distribution with mean ____________________.

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The Spearman rank correlation coefficient is equal to Pearson's correlation coefficient based on the ____________________ of the data.

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When data are interval,but not normal,and you want to analyze matched pairs differences,use the ____________________ test.

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When the sample size n is greater than 30,the Spearman rank correlation coefficient rs is approximately normally distributed with:

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The Wilcoxon signed rank sum test incorporates not only the sign of each difference,but the ____________________ of the difference as well.

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When the Friedman test is used to test for a difference between two populations,it will produce the same outcome as the ____________________ test.

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The Kruskal-Wallis test is always:

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The general manager of a chain of Pet stores believes that experience is the most important factor in determining the level of success of a salesperson.To examine this belief she records last month's sales (in $1,000s)and the years of experience of 10 randomly selected salespeople.These data are listed below. The general manager of a chain of Pet stores believes that experience is the most important factor in determining the level of success of a salesperson.To examine this belief she records last month's sales (in $1,000s)and the years of experience of 10 randomly selected salespeople.These data are listed below.   Can we conclude at the 5% significance level that experience of the salesperson and sales are linearly related? (Note we cannot assume either variable has a normal distribution.) ​ ​ Can we conclude at the 5% significance level that experience of the salesperson and sales are linearly related? (Note we cannot assume either variable has a normal distribution.) ​ ​

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Nonparametric tests are methods of inference that make no assumptions whatsoever about the nature of underlying population distributions or their parameters.

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Statistical methods that require,among other assumptions,that the populations be normally distributed are known as:

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The sign test statistic is approximately normally distributed whenever the sample sizes are larger than:

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Frozen TV Dinner The general manager of a frozen TV dinner maker must decide which one of four new dinners to introduce to the market.He decides to perform an experiment to help make a decision.Each dinner is sampled by ten people who then rate the product on a 7-point scale,where 1 = poor,and 7 = excellent.The results are shown below. Frozen TV Dinner  The general manager of a frozen TV dinner maker must decide which one of four new dinners to introduce to the market.He decides to perform an experiment to help make a decision.Each dinner is sampled by ten people who then rate the product on a 7-point scale,where 1 = poor,and 7 = excellent.The results are shown below.   ​ ​ -{Frozen TV Dinner Narrative} Can the general manager infer at the 5% significance level that there are differences in the taste ratings of the four dinners? ​ ​ -{Frozen TV Dinner Narrative} Can the general manager infer at the 5% significance level that there are differences in the taste ratings of the four dinners?

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The Spearman rank correlation coefficient is calculated by first ranking the data values,and then calculating the Pearson correlation coefficient of the ranks.

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The nonparametric tests discussed in your book (Wilcoxon rank sum test,sign test,Wilcoxon signed rank sum test,Kruskal-Wallis test,and Friedman test)all require that the probability distributions be:

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