Deck 17: What to Do When You’re Not Normal: Chi-Square and Some Other Nonparametric Tests

Question 1

If you have 30 respondents identifying their political preference (i.e., Democrat, Republican, Independent), what would be the expected frequency for each category?

A) 10
B) 20
C) 30
D) 40

Answer 1

A

Question 2

Which of the following nonparametric tests is used to determine if the number of occurrences across categories is random?

A) McNemar
B) Fisher's exact
C) Chi-square
D) Spearman rank

Answer 2

C

Question 3

Which of the following nonparametric tests is used to compare the magnitude and direction of differences between two groups?

A) Mann-Whitney
B) Wilcoxon rank
C) Spearman rank
D) Fisher's exact

Answer 3

B

Question 4

If you have 100 respondents identifying their gender, what would be the expected frequency for each category?

A) 25
B) 50
C) 75
D) 100

Question 5

What is a two-sample chi-square test also known as?

A) Goodness of fit test
B) Test of independence
C) Wilcoxon rank
D) Mann-Whitney

Question 6

If there are three categories for which you are calculating a one-sample chi-square, what are the degrees of freedom?

A) 0
B) 1
C) 2
D) 3

Question 7

Which of the following is the correct formula for calculating the degrees of freedom for a one-sample chi-square?

A) n - 1
B) n - 3
C) r - 1
D) r - 3

Question 8

In order to meet the sample assumption associated with parametric statistics, how many subjects do you need?

A) 20
B) 30
C) 50
D) 100

Question 9

Which of the following nonparametric tests is used to examine the correlation between ranks?

A) Mann-Whitney
B) Wilcoxon rank
C) Spearman rank
D) Fisher's exact

Question 10

Which of the following nonparametric tests is used to determine if scores from a sample came from a specified population?

A) Mann-Whitney
B) Fisher's exact
C) Kolmogorov-Smirnov
D) Spearman rank

Question 11

What types of statistics are not governed by the parameters of the population?

A) Parametric
B) Nonparametric
C) Population
D) Distribution

Question 12

Which of the following is the correct formula for the one-sample chi-square?

Question 13

A one-sample chi-square is also known as which of these?

A) Goodness of fit test
B) Test of independence
C) Wilcoxon rank
D) Mann-Whitney

Question 14

Which of the following is the Greek symbol chi?

Question 15

Which of the following is the symbol for summation?

Question 16

The obtained value must be compared against which of the following?

A) Test value
B) Critical value
C) Expected value
D) Observed value

Question 17

What is the level of risk associated with the null hypothesis called?

A) Type II error
B) Type III error
C) Power
D) Type I error

Question 18

Which of the following Excel functions is used for the chi-square test of independence?

A) CHIDIST
B) CHISQUARE
C) CHITEST
D) CHI

Question 19

Which of the following nonparametric tests is used to compare two independent samples?

A) Mann-Whitney
B) Wilcoxon rank
C) Spearman rank
D) Kolmogorov-Smirnov

Question 20

Which of the following is the most commonly used nonparametric test?

A) t test
B) ANOVA
B) Chi-square
C) Mann-Whitney

Question 21

How is a nonparametric test different from a parametric test?

Question 22

What is the formula for calculating a one-sample chi-square?

Question 23

Name two other nonparametric procedures, and explain when they would be used.

Question 24

Explain when you would want to use a one-sample chi-square?

Question 25

How are the degrees of freedom associated with the one-sample chi-square calculated?

Question 26

What is a parametric test?

Question 27

Why is "goodness of fit" a commonly used name for the one-sample chi-square test?

Question 28

Calculate a one-sample chi-square for the following set of data:

Question 29

What do the symbols in the one-sample chi-square test represent?

Question 30

What does the CHIDIST function in Excel compute?