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

Accepted Answer

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

Accepted Answer

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

Accepted Answer

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

Accepted Answer

See the steps for calculating the chi squared test of association on p226

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

Accepted Answer

df = 4 - 1, so df = 3.

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

Accepted Answer

The critical value for a chi-square goodness of fit test with 5 degrees of freedom at the α = .001 significance level is 20.515. This value can be found in chi-square distribution tables or calculated using statistical software.

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

Accepted Answer

See Figure 14.2 for the APA standard for the reporting of a chi squared goodness of fit test

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

Accepted Answer

df = (4-1) * (2-1)

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

Accepted Answer

df = (5-1) * (3-1)

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

Accepted Answer

Three cells from twelve represents 25% of the cells, which is more than the accepted 20% and therefore the analysis may not be 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

Accepted Answer

See the steps for calculating the chi squared goodness of fit on p222

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

Accepted Answer

See Figure 14.1 for the section of the critical values table for the chi squared test

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

Accepted Answer

The grand total in the context of calculating expected frequencies in an eye gaze test of association or any similar test is the sum of all observations across all categories and conditions. If the provided option A is 60, it implies that the total number of observations or instances recorded in the study is 60, which is used as the basis for calculating expected frequencies under the assumption of independence between variables.

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

Accepted Answer

The largest value is 2.253 in the "towards target, stimuli not detected" cell.

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

Accepted Answer

Revise the steps for calculating the chi square test of association on p226

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

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?

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?

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?

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

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

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

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

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?

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?

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?

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

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

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

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

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