Exam 18: Nonparametric Methods: Analysis of Ranked Data

Two movie reviewers gave their ratings (0 to 4 stars) to ten movies released this past month as follows: The rank order correlation is to be used. What is your decision regarding the null hypothesis?

The test statistic for the null hypothesis that the correlation among the ranks is equal to zero is a chi-square statistic.

A nonparametric test requires that the data can be

What test statistic is used to test the significance of the Spearman coefficient of rank correlation? _______________

A study was conducted on the percent of total advertising dollars spent by ten local firms for advertising in the press and on cable television. Results were ranked with a resulting sum of squared differences equal to 128. What is Spearman's coefficient of rank correlation?

The Wilcoxon rank-sum test compares two dependent populations.

The decision rule for a small sample sign test is based on a:

When are nonparametric methods best applied?

Why is the nonparametric sign test appropriate for testing a hypothesis about the median?

A hypothesis test that a rank correlation coefficient is zero is conducted at the 5% level of significance. If the correlation coefficient is 0.50 for a sample of 15 observations, what is the computed value of the t statistic?

The Kruskal-Wallis method tests the hypothesis that ____________ or more population means are equal.

Using the following data, the Wilcoxon Signed-Rank hypothesis test is used to test the hypothesis that the test results of a treatment after training are greater than the test results before the treatment. The Wilcoxon critical value is 3 for n=7 with a 0.05 significance level. What decision should be made regarding the null hypothesis?

A soap manufacturer is experimenting with several formulas of soap powder. Three of the formulas were selected for further testing by a panel of homemakers. The ratings for the three formulas are as follows: If H is less than the critical value, what is our decision rule?

20 economists were sampled and asked to predict if the national economy would improve during the next twelve months. Eleven of the economists predicted an increase, two economists predicted no change, and seven economists predicted a decrease in the economy. Conduct a hypothesis test at the 0.10 significance level to determine if the majority of economists predict an increase. Based on the analysis, we would conclude that:

Two movie reviewers gave their ratings (0 to 4 stars) to seven movies released this past month as follows: The Wilcoxon signed-rank test of difference is to be used. What is the larger sum of the ranks?

A nonparametric test is also called a __________ test.

The Spearman coefficient of rank correlation requires that observations be _______.

What difference between "before and after" measurements is evaluated in a sign test? __________

For the coefficient of rank correlation, what scale is used to measure the data?

We can apply non-parametric tests to problems involving interval or ratio data.