Exam 17: Chi-Square and Other Nonparametric Tests

If n 1 = 5, n 2 = 4, and a = 0.01 2 tail , the power of the Mann-Whitney U test equals _________.

A researcher conducts a one-way ANOVA involving three groups. When she analyzes the data she realizes the data seriously violate the assumptions underlying parametric ANOVA. Therefore, she decides to use the Kruskal-Wallis test to conclude with regard to H 0. The data are given below. What is the appropriate conclusion concerning H 0 ?

In a 2 x 2 table there are ( r - 1)( c - 1) degrees of freedom.

A designer of electronic equipment wants to develop a calculator which will have market appeal to high school students. Past marketing surveys have shown that the color of the numeric display is important in terms of market preference. The designer makes up 210 sample calculators and then has a random sample of students from the area high schools rate which calculator they prefer. The calculators are identical except for the color of the display. The results of the survey were that 96 students preferred red, 82 preferred blue, and 32 preferred green.

If the ranking has been done correctly for the Wilcoxin signed ranks test, the sum of the unsigned ranks should equal n ( n +1)/2.

The c 2 test answers questions about population proportions.

What are the assumptions underlying the Kruskal-Wallis test?

In a 2 x 2 contingency table, if we keep the marginals at their observed values, how many f o scores are free to vary?

The proper use of the Wilcoxin signed ranks test requires that both the raw scores and the difference between the raw scores be of at least ordinal scaling.

When evaluating c 2obt , the critical region for rejection of H 0 _________.

A researcher conducts a one-way ANOVA involving three groups. When she analyzes the data she realizes the data seriously violate the assumptions underlying parametric ANOVA. Therefore, she decides to use the Kruskal-Wallis test to conclude with regard to H 0. The data are given below. Using a = 0.05, H crit = _________.

A group of clients requesting marital therapy were given communication skills training and then rated by independent observers before and after therapy on their ability to resolve problems in a series of hypothetical conflict situations. The results are shown below. A higher score indicates better performance on the task. a. What is the value of T obt ? b. What do you conclude using a = 0.05 2 tail ?

One of the important assumptions underlying the use of parametric statistics is that the sample is randomly selected from a normally distributed population. Consider a sample of N = 500. A sample mean and standard deviation is calculated and we find that the following is true. Between the mean and - 1 s there are 150 scores. Between the mean and +1 s there are 130 scores. Between - 1 s and -2 s there are 70 scores. Between +1 s and +2 s there are 82 scores. Beyond +2 standard deviations are 30 scores. Beyond - 2 standard deviations are 38 scores.

The computation of f e _________.

Define Wilcoxon matched pairs signed ranks test.

Parametric tests are always more desirable than nonparametric tests.

If T _obt ≥ T _crit , reject H₀ .

A Mann-Whitney U value of zero indicates _________.

Prior to a recent gubernatorial election, a survey was conducted to determine whether there was a relationship between sexual gender and preference for the Democratic or Republican candidate. The following data were recorded. Assume the data will be analyzed with Chi-square. Using a = 0.05, c 2crit = _________.

Define contingency table.