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The ?2 test statistic is...

The ?2 test statistic is a random variable that is based on frequencies.

A) True

B) False

2

The chi-square test for independence is a non-parametric statistical test because no parameters are estimated.

A) True

B) False

3

Observed frequencies in a chi-square goodness-of-fit test for normality may be less than 5 or even 0 in some cells, so long as the expected frequencies are large enough.

A) True

B) False

4

If two variables are independent you would expect the ?2 test statistic to be close to zero.

A) True

B) False

5

The null hypothesis for a chi-square contingency test of independence for two variables always assumes the variables are independent.

A) True

B) False

Use the following Scenario answer questions 6 to 8.

800 employees of OxCo Mfg. were surveyed to evaluate the company's pension plan. The table below displays some of the results of the survey.

6

The expected frequency for the shaded cell in the table would be:

A) 163

B) 158

C) 165

D) none of these

7

Degrees of freedom for this test (shaded cell below the table) would be

A) 6

B) 7

C) 799

D) 12

8

We would reject H0 at:

A) a =.10

B) a =.05

C) a =.01

D) none of these

9

The critical value in a chi-square goodness-of-fit test depends on the

A) number of categories of the variables.

B) variance of the data.

C) normality of the data.

D) all of the above.

10

For a chi-square test, a 4x3 contingency table will have degrees of freedom of

A) 12

B) 8

C) 9

D) 6

11

We sometimes combine two categories in a chi-square test if the

A) observed frequencies are less than 15.

B) observed frequencies are more than 5.

C) expected frequencies are less than 5.

D) expected frequencies are more than 5.

12

Three coins are tossed 160 times apiece. The distribution obtained is

Under the null hypothesis of a uniform distribution, the expected number of times we would get 0 heads is

A) 10

B) 20

C) 30

D) 40

Nonparametric tests generally are more powerful than parametric tests when normality cannot be assumed.

A) True

B) False

2.

Rejection of a hypothesis using a nonparametric test is more convincing than using an equivalent parametric test when the data are badly skewed.

A) True

B) False

3.

Most nonparametric tests assume ordinal data.

A) True

B) False

4.

The one-sample runs test compares medians of two or more groups.

A) True

B) False

5.

The Mann-Whitney test can be used as a test for equality of two population medians.

A) True

B) False

6.

The Kruskal-Wallis test is a test for randomness in sequential data.

A) True

B) False

7.

Which nonparametric test is analogous to a parametric two-sample t-test for means?

A) Wald-Wolfowitz test.

B) Wilcoxon signed rank test.

C) Mann-Whitney test.

D) Kruskal-Wallis test.

8.

Which nonparametric test is analogous to a two-factor ANOVA without replication?

A) Kruskal-Wallis test.

B) Friedman test.

C) Mann-Whitney test.

D) Kruskal-Wallis test.

9.

Which nonparametric test is analogous to a parametric one-sample t-test for differences in paired data?

A) Wald-Wolfowitz test.

B) Wilcoxon signed rank test.

C) Mann-Whitney test.

D) Kruskal-Wallis test.

10.

Which parametric test resembles the nonparametric Spearman's rank test?

A) t-test of a correlation coefficient.

B) t-test of two sample means.

C) t-test of one sample mean.

D) None of the above.

11.

Which is not true of the one-sample runs test?

A) It is also called the Wald-Wolfowitz test after its inventors

B) Its purpose is to detect non-randomness.

C) It cannot be applied to sequential observations.

D) It is similar to test for autocorrelation.

12.

Which nonparametric test is used to compare one sample median with a benchmark?

A) Wald-Wolfowitz test.

B) Wilcoxon signed rank test.

C) Mann-Whitney test.

D) Kruskal-Wallis test.

A) True

B) False

2

The chi-square test for independence is a non-parametric statistical test because no parameters are estimated.

A) True

B) False

3

Observed frequencies in a chi-square goodness-of-fit test for normality may be less than 5 or even 0 in some cells, so long as the expected frequencies are large enough.

A) True

B) False

4

If two variables are independent you would expect the ?2 test statistic to be close to zero.

A) True

B) False

5

The null hypothesis for a chi-square contingency test of independence for two variables always assumes the variables are independent.

A) True

B) False

Use the following Scenario answer questions 6 to 8.

800 employees of OxCo Mfg. were surveyed to evaluate the company's pension plan. The table below displays some of the results of the survey.

6

The expected frequency for the shaded cell in the table would be:

A) 163

B) 158

C) 165

D) none of these

7

Degrees of freedom for this test (shaded cell below the table) would be

A) 6

B) 7

C) 799

D) 12

8

We would reject H0 at:

A) a =.10

B) a =.05

C) a =.01

D) none of these

9

The critical value in a chi-square goodness-of-fit test depends on the

A) number of categories of the variables.

B) variance of the data.

C) normality of the data.

D) all of the above.

10

For a chi-square test, a 4x3 contingency table will have degrees of freedom of

A) 12

B) 8

C) 9

D) 6

11

We sometimes combine two categories in a chi-square test if the

A) observed frequencies are less than 15.

B) observed frequencies are more than 5.

C) expected frequencies are less than 5.

D) expected frequencies are more than 5.

12

Three coins are tossed 160 times apiece. The distribution obtained is

Under the null hypothesis of a uniform distribution, the expected number of times we would get 0 heads is

A) 10

B) 20

C) 30

D) 40

Nonparametric tests generally are more powerful than parametric tests when normality cannot be assumed.

A) True

B) False

2.

Rejection of a hypothesis using a nonparametric test is more convincing than using an equivalent parametric test when the data are badly skewed.

A) True

B) False

3.

Most nonparametric tests assume ordinal data.

A) True

B) False

4.

The one-sample runs test compares medians of two or more groups.

A) True

B) False

5.

The Mann-Whitney test can be used as a test for equality of two population medians.

A) True

B) False

6.

The Kruskal-Wallis test is a test for randomness in sequential data.

A) True

B) False

7.

Which nonparametric test is analogous to a parametric two-sample t-test for means?

A) Wald-Wolfowitz test.

B) Wilcoxon signed rank test.

C) Mann-Whitney test.

D) Kruskal-Wallis test.

8.

Which nonparametric test is analogous to a two-factor ANOVA without replication?

A) Kruskal-Wallis test.

B) Friedman test.

C) Mann-Whitney test.

D) Kruskal-Wallis test.

9.

Which nonparametric test is analogous to a parametric one-sample t-test for differences in paired data?

A) Wald-Wolfowitz test.

B) Wilcoxon signed rank test.

C) Mann-Whitney test.

D) Kruskal-Wallis test.

10.

Which parametric test resembles the nonparametric Spearman's rank test?

A) t-test of a correlation coefficient.

B) t-test of two sample means.

C) t-test of one sample mean.

D) None of the above.

11.

Which is not true of the one-sample runs test?

A) It is also called the Wald-Wolfowitz test after its inventors

B) Its purpose is to detect non-randomness.

C) It cannot be applied to sequential observations.

D) It is similar to test for autocorrelation.

12.

Which nonparametric test is used to compare one sample median with a benchmark?

A) Wald-Wolfowitz test.

B) Wilcoxon signed rank test.

C) Mann-Whitney test.

D) Kruskal-Wallis test.

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