Exam 19: Nonparametric Statistics

We can use the Friedman test to determine whether two populations differ.The conclusion will be the same as that produced from the sign test.

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} Can we conclude at the 1% significance level that the general managers' claim is false?

The alternative hypothesis of the Kruskal-Wallis test is that ____________________ population locations differ.

H₀ in the Wilcoxon rank sum test is that the two population ____________________ are the same.

The test statistic F_r for the Friedman test has what distribution?

In the case of comparing two population locations,the Friedman test can only determine whether a difference exists.To determine which population,for example,has a higher location requires the use of the ____________________ test.

If both variables are ordinal,the value of the Spearman rank correlation coefficient is equal to the value of Pearson's correlation coefficient.

The Wilcoxon signed rank sum test is applied to compare two populations,when the samples are matched pairs and the data are interval but not normally distributed.

The Spearman rank-correlation coefficient can only take on values between:

The data for analysis by a Friedman test are either ordinal or interval,but they do not have a(n)____________________ distribution.

Movie Scripts ​ In general,before a producer agrees to make a movie,each script is thoroughly reviewed by movie editors.Suppose that the Big-Screen Film Company has recently received two scripts for new movies.To help them decide which one to produce,both are sent to 30 editors who rate the scripts to judge which one is better.Suppose that 10 editors rate script 1 better and 20 rate script 2 better. ​ ​ -{Movie Scripts Narrative} Which test is appropriate for this situation?

To determine if a relationship exists between two variables,the hypotheses to be tested are H₀: r_s = 0 vs.H₁: r_s≠ 0.

The alternative hypothesis for the Wilcoxon rank sum test is that the two populations are the same.

Advertisement ​ In a Kruskal-Wallis test to determine whether differences exist among three different advertisements,the following statistics were obtained: T₁ = 884,n₁ = 20,T₂ = 756,n₂ = 28,T₃ = 1061,n₃ = 25. ​ ​ -{Advertisement Narrative} Conduct the test at the 5% significance level.

If the test statistic F_r for the Friedman test is ____________________,we do not reject H₀.

When the data are interval,how does the Wilcoxon signed rank sum test compare to the sign test?

The ____________________ correlation coefficient is used to look for a relationship between x and y when both variables are interval but do not have normal distributions.

The Kruskal-Wallis test is applied to compare two or more populations,when the samples are independent and the data are either ordinal or interval but not normal.

Which of the following distributions approximate Kruskal-Wallis test statistic H when the problem objective is to compare k populations (k > 2)where the sample sizes are greater than or equal to 5?

In a Wilcoxon signed rank sum test,the test statistic is calculated as T = 75.If there are n = 15 observations for which D≠ 0,and a two-tail test is performed at the 5% significance level,then: