Exam 17: Nonparametric Statistics

Personnel specialist,Steve Satterfield,is assessing a new supervisor's ability to follow company standards for evaluating employees. Steve has the new supervisor rate five hypothetical employees on a scale of one to ten. He is interested in how the new supervisor's ratings correlate with company norms for these benchmark cases. The Spearman rank correlation coefficient is ___________.

The nonparametric counterpart of the t test to compare the means of two related samples is the _______.

Performance records for 18 salespersons are selected to investigate whether compensation methods are a significant motivational factor. A Kruskal-Wallis test performed with $\alpha$ = 0.01 will result in a decision to _____.

No assumptions on the distribution of the difference are needed for the use of the Wilcoxon matched-pairs signed rank.

What is the Spearman rank correlation coefficient for the following set of data?

A researcher wants to determine whether the means of two independent populations are the same.She has two independent random samples,one from each population,shown in the following table: She uses the Mann-Whitney U test and a significance level of 0.05.The sum of ranks for sample II is ______.

Correlation coefficients may be computed for parametric and nonparametric data. If the data are nonparametric,which of the following should be used?

Performance records for 18 salespersons are selected to investigate whether compensation methods are a significant motivational factor. A Kruskal-Wallis test is to be performed with $\alpha$ = 0.01.The calculated K value is _______.

The null hypothesis for a one-sample runs test is __________________.

Suppose a research uses the Mann-Whitney test to determine if there is a difference in the volume of text messages sent by a high school student living in a rural area versus an urban area during the month of December.Eight rural high school students and 9 urban high school students were included in the study. If,among all 17,the sum of the ranks W₂ produced from the urban high school is 88,the U test statistic is _____________

Statistical techniques based on assumptions about the population from which the sample data are selected are called _______.

A researcher wants to determine whether the means of two independent populations are the same.She has two independent random samples,one from each population,shown in the following table: She uses the Mann-Whitney U test and a significance level of 0.05.The appropriate Decision is ______.

A researcher wants to determine the efficacy of a training program directed at improving concentration,focus,and memory on college students.She selects a random sample of 16 individuals and have them take an assessment initial test before the training program,then the individuals complete the training program,and at the end they take a final test that's comparable to the initial test.The results are shown in the following table: The analyst uses a Wilcoxon matched-pairs signed rank test with a 0.05 significance level.The test statistic T₋ = ______.

A Kruskal-Wallis test is to be performed. There will be four categories,and alpha is chosen to be 0.10.The critical chi-square value is _______.

To compare the means of two populations which cannot be assumed to be normally distributed and only ordinal-level data is available from two independent samples,instead of the t-test for independent samples we should use the Mann-Whitney U test.

A local pediatrician office is interested in the 'no-show' appointment count for each of the 4 pediatricians.'No-show' appointments represent lost revenues because the physician will be Idle when patients do not show for their scheduled appointments.Using the data in the table Below and an alpha of .10,what is the observed value of χ²?

A Mann-Whitney U test was performed to determine if there were differences in the cost of tuition at a Texas state university versus an Oklahoma state university.The total cost,including room,board,and books for 24 freshman attending a Texas university were computed and compared to the total cost for 20 Oklahoma state university students.The U statistic was calculated to be 38.78 based on the sample sizes of 24 and 20.What is the z value for this test?

A Mann-Whitney U test was performed to determine if there were differences in the average compute time for Dallas residents versus Atlanta residents.The travel time for 22 commuters in Dallas was compared to the travel time for 28 commuters in Atlanta.The U statistic was calculated to be 58.0 based on the sample sizes of 22 and 28.What is the z value for this test?

The one-sample runs test is a ______________________.