Exam 19: Further Non-Parametric Tests

The Kruskal-Wallis rank test for differences in more than two medians is a nonparametric alternative to ____

Instruction 19-5 The director of the MBA program of a university wanted to know if a one week orientation would change the proportion among potential incoming students who would perceive the program as being good. Given below is the result from 215 students' view of the program before and after the orientation. After the Orientation Before the Orientation Good Not Good Total Good 93 37 130 Not Good 71 14 85 Total 164 51 215 -Referring to Instruction 19-5,the null hypothesis for the Friedman rank test for the difference in the means should be rejected at a 0.01 level of significance.

Instruction 19-1 The director of transportation of a large company is interested in the usage of her van pool. She considers her routes to be divided into local and non-local. She is particularly interested in learning if there is a difference in the proportion of males and females who use the local routes. She takes a sample of a day's riders and finds the following: Male Female Total Local 27 44 71 Non-Local 33 25 5 Total 60 69 129 She will use this information to perform a chi-square hypothesis test using a level of significance of 0.05. -Referring to Instruction 19-1,the director now wants to know if the proportion of users who are male and the proportion of users who use the local routes are the same.She should reject the null hypothesis using a 5% level of significance.

Instruction 19-5 The director of the MBA program of a university wanted to know if a one week orientation would change the proportion among potential incoming students who would perceive the program as being good. Given below is the result from 215 students' view of the program before and after the orientation. After the Orientation Before the Orientation Good Not Good Total Good 93 37 130 Not Good 71 14 85 Total 164 51 215 -Referring to Instruction 19-5,the Friedman rank test is valid only if there is no interaction between the five blocks and the three treatment levels.

The ____ finds whether multiple sample groups have been selected from populations with equal medians.

Instruction 19-3 A perfume manufacturer is trying to choose between two magazine advertising layouts. An expensive layout would include a small package of the perfume. A cheaper layout would include a 'scratch-and-sniff' sample of the product. The manufacturer would use the more expensive layout only if there is evidence that it would lead to a higher approval rate. The manufacturer presents both layouts to five groups and determines the approval rating from each group on both layouts. The data are given below. Use this to test whether the median difference in approval rating is different from zero in favour of the more expensive layout with a level of significance of 0.05. Padkage Scratch 52 37 68 43 43 53 48 39 56 47 -Referring to Instruction 19-3,what is the value of the test statistic?

For the Wilcoxon rank sum test,the quantity T₁ is defined as _______.

If the sample sizes in each group are more than five,the Kruskal-Wallis rank test statistic can be approximated by a chi-square distribution.

The McNemar test is approximately chi-square distributed.

The sum of ranks in a Wilcoxon rank sum test must equal _______.

One reason for using the Wilcoxon rank sum test rather than the t test is if you cannot assume that the populations from which the samples came are normally distributed.

Instruction 19-1 The director of transportation of a large company is interested in the usage of her van pool. She considers her routes to be divided into local and non-local. She is particularly interested in learning if there is a difference in the proportion of males and females who use the local routes. She takes a sample of a day's riders and finds the following: Male Female Total Local 27 44 71 Non-Local 33 25 5 Total 60 69 129 She will use this information to perform a chi-square hypothesis test using a level of significance of 0.05. -Referring to Instruction 19-1,the director now wants to know if the proportion of users who are male and the proportion of users who use the local routes are the same.She should reject the null hypothesis using a 5% level of significance.

Instruction 19-3 A perfume manufacturer is trying to choose between two magazine advertising layouts. An expensive layout would include a small package of the perfume. A cheaper layout would include a 'scratch-and-sniff' sample of the product. The manufacturer would use the more expensive layout only if there is evidence that it would lead to a higher approval rate. The manufacturer presents both layouts to five groups and determines the approval rating from each group on both layouts. The data are given below. Use this to test whether the median difference in approval rating is different from zero in favour of the more expensive layout with a level of significance of 0.05. Padkage Scratch 52 37 68 43 43 53 48 39 56 47 -Referring to Instruction 19-3,the hypotheses that should be used are

Instruction 19-2 The director of a university's MBA program wanted to know if a one week orientation would change the proportion among potential incoming students who would perceive the program as being good. Given below is the result from 215 students' view of the program before and after the orientation. After the Orientation Before the Orientation Good Not Good Total Good 93 37 130 Not Good 71 14 85 Total 164 51 215 -Referring to Instruction 19-2,the director should reject the null hypothesis using a 1% level of significance.

When the normality assumption is not met in a randomised block design,which of the following tests should be used?

Instruction 19-1 The director of transportation of a large company is interested in the usage of her van pool. She considers her routes to be divided into local and non-local. She is particularly interested in learning if there is a difference in the proportion of males and females who use the local routes. She takes a sample of a day's riders and finds the following: Male Female Total Local 27 44 71 Non-Local 33 25 5 Total 60 69 129 She will use this information to perform a chi-square hypothesis test using a level of significance of 0.05. -Referring to Instruction 19-1,the director now wants to know if the proportion of users who are male and the proportion of users who use the local routes are the same.Which test should she use?

Instruction 19-3 A perfume manufacturer is trying to choose between two magazine advertising layouts. An expensive layout would include a small package of the perfume. A cheaper layout would include a 'scratch-and-sniff' sample of the product. The manufacturer would use the more expensive layout only if there is evidence that it would lead to a higher approval rate. The manufacturer presents both layouts to five groups and determines the approval rating from each group on both layouts. The data are given below. Use this to test whether the median difference in approval rating is different from zero in favour of the more expensive layout with a level of significance of 0.05. Padkage Scratch 52 37 68 43 43 53 48 39 56 47 -Referring to Instruction 19-3,the perfume manufacturer will ____.

Instruction 19-1 The director of transportation of a large company is interested in the usage of her van pool. She considers her routes to be divided into local and non-local. She is particularly interested in learning if there is a difference in the proportion of males and females who use the local routes. She takes a sample of a day's riders and finds the following: Male Female Total Local 27 44 71 Non-Local 33 25 5 Total 60 69 129 She will use this information to perform a chi-square hypothesis test using a level of significance of 0.05. -Referring to Instruction 19-1,the director now wants to know if the proportion of users who are male and the proportion of users who use the local routes are the same.What is the p-value of the test statistic using a 5% level of significance?

Instruction 19-5 The director of the MBA program of a university wanted to know if a one week orientation would change the proportion among potential incoming students who would perceive the program as being good. Given below is the result from 215 students' view of the program before and after the orientation. After the Orientation Before the Orientation Good Not Good Total Good 93 37 130 Not Good 71 14 85 Total 164 51 215 -Referring to Instruction 19-5,the decision made at a 0.01 level of significance on the Friedman rank test for the difference in medians implies that the three medians are not all the same.

The Journal of Business Venturing reported on the activities of entrepreneurs during the organisation creation process.As part of a designed study,a total of 71 entrepreneurs were interviewed and divided into three groups: those that were successful in founding a new firm (n₁ = 34),those still actively trying to establish a firm (n₂ = 21),and those who tried to start a new firm but eventually gave up (n₃ = 16).The total number of activities undertaken (e.g.,developed a business plan,sought funding,looked for facilities)by each group over a specified time period during organisation creation was measured.The objective is to compare the mean number of activities of the three groups of entrepreneurs.Because of concerns over necessary assumption of the parametric analysis,it was decided to use a nonparametric analysis.Identify the nonparametric method that would be used to analyse the data.