Deck 14: Do My Data Fit the Expected Frequencies Chi Square

Question 1

You ask 200 people which type of novel they prefer to read: crime, romance, science fiction, or historical. What would your expected frequencies be for each category?

A) 25
B) 50
C) 100
D) 4

Answer 1

B
Explanation: 200 / 4 = 50

Question 2

You ask 200 people whether they would prefer which type of novel they prefer to read (crime, romance, science fiction or historical). You also ask them whether they own a television or not. How would you describe the suitable method of analysis?

A) 6 x 1 chi square test of association
B) 6 x 1 chi square goodness of fit
C) 4 x 2 chi square test of association
D) 4 x 2 chi square goodness of fit

Answer 2

C
Explanation: See page 225 to revise the chi square test of association.

Question 3

When calculating a chi square goodness of fit, within one cell the observed value is 12 and the expected value is 3. What would the residual value be?

A) 15
B) 12
C) 9
D) 4

Answer 3

C
Explanation: Residual = Observed - Expected. 9 = 12 - 3.

Question 4

Once you have calculated a residual value, what is the next computation you need to perform on that value?

A) Square it
B) Square root
C) Divide it by the expected value
D) Add it to the observed value

Question 5

You have calculated a chi square goodness of fit where there are four categories. What are the degrees of freedom?

A) 1
B) 2
C) 3
D) 4

Question 6

You have calculated a chi square goodness of fit where you have 5 degrees of freedom. What is the critical value when α = .001?

A) 12.833
B) 15.086
C) 16.750
D) 20.515

Question 7

What is wrong with the presentation of this chi square result? χ² (3) = 10.25, p < .025

A) The df should be after the calculated value
B) The N are not given
C) The χ2 value should be after the p value
D) The p value should be given after the df

Question 8

You ask 200 people which type of novel they prefer to read (crime, romance, science fiction or historical) and whether they own a television or not. How many degrees of freedom would you have?

A) 3
B) 8
C) 4
D) 6

Question 9

You have run a chi square test of association where the df has been calculated as 8. You know that you have five categories in one of your variables. How many categories are in the other variable?

A) 2
B) 3
C) 4
D) 5

Question 10

You run a 3 x 4 chi square test of association. You have noticed that the expected frequencies are less than 5 in three of the cells. What percentage of the cells does this represent, and would you expect this analysis to be robust?

A) 25%, robust
B) 25%, not robust
C) 15%, robust
D) 15%, not robust

Question 11

In the eye gaze example, what is the calculated χ² statistic for the goodness of fit analysis?

A) 4.2667
B) 2.1333
C) 30
D) 8

Question 12

In the eye gaze goodness of fit example, what is the critical value when α = .050?

A) 5.991
B) 5.024
C) 7.378
D) 3.841

Question 13

In the eye gaze test of association example, what is the grand total that is used to calculate the expected frequencies?

A) 60
B) 25
C) 35
D) 20

Question 14

In the eye gaze test of association example, which cell has the highest (O - E)² / E value?

A) Away from target, stimuli detected
B) Away from target, stimuli not detected
C) Towards target, stimuli detected
D) Towards target, stimuli not detected

Question 15

In the eye gaze example, what is the calculated χ² statistic for the test of association analysis?

A) 0.053
B) 1.614
C) 1.153
D) 6.720