Exam 16: Nonparametric Methods: Analysis of Ordinal Data

The sign test is an appropriate nonparametric test for dependent samples.

Twenty economists were sampled and asked to predict if the national economy would improve during the next 12 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. The null hypothesis is:

Twenty economists were sampled and asked to predict if the national economy would improve during the next 12 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. The test statistic is _______.

The following are the ratings (0 to 4) given by 12 individuals for two possible new flavors of soft drinks. Wilcoxon rank-sum is to be used. What is the sum of the ranks for flavor #2?

To use the sign test with paired data, trials must:

This nonparametric test requires at least ordinal level data. t is used if the assumptions required for the paired t test cannot be met. Which test is it?

A nonparametric equivalent of a version of the ANOVA test, which tests the hypothesis that several population means are equal is known as the:

In a market research study involving 11 people, 7 preferred Product X, 3 preferred Product Y, and 1 expressed no preference. A sign test is selected using the 0.05 level of significance. What is the decision rule if the test statistic is the number of people preferring Product X?

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 the value of the sum of the differences?

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 are the degrees of freedom?

For small samples, the test statistic for the sign test is the z statistic.

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: What is the value of chi-square at the 5% level of significance?

For the rank correlation coefficient, what test statistic is used to test the null hypothesis that the correlation is zero?

A data set has six values: 10, 12, 21, 26, 26, and 26. What ranks would be assigned to 26?

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: What is the sum of the ranks for Formula B?

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: What is the number of degrees of freedom?

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 the sum of the differences in ranks?

A two-tailed test of hypothesis was conducted and 60 values were above the median. The computed z = 1.90. At the 0.05 level, what is the decision regarding the null hypothesis?

In the Kruskal-Wallis test for the following data, what is the sum of the ranks for Sample 1?

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?