Deck 18: Tests for Categorical Variables and Frequency Tables

Question 1

A $\chi$ ² analysis can be one-tailed when:

A) There are two columns and two rows
B) There is more than one column and more than one row
C) There is one row with two cells
D) There is any number of rows and columns

Answer 1

There is one row with two cells

Question 2

The expected frequencies in a $\chi$ ² analysis are:

A) The frequencies expected to occur in the observation
B) The frequencies expected under the null hypothesis
C) The frequencies expected under the research hypothesis
D) The frequencies actually observed in the research study

Answer 2

The frequencies expected under the null hypothesis

Question 3

The only kind of data that can occur in the cells of a $\chi$ ² analysis are:

A) Percentages
B) Ratios
C) Frequencies
D) All of the above

Answer 3

Frequencies

Question 4

Data for a $\chi$ ² analysis must come from:

A) An unrelated design
B) A related design
C) A matched pairs design
D) A single subject design

Question 5

Twenty children are given several sessions of guided play with liquids and containers, while another 20 children serve as controls. Each child is tested on a liquid conservation task and it is found that 15 of the guided play children show conservation on the task whereas only 8 of the control children do so.
-5) The expected frequency for control children conserving is:

A) 12.5
B) 8
C) 11.5
D) 15

Question 6

Twenty children are given several sessions of guided play with liquids and containers, while another 20 children serve as controls. Each child is tested on a liquid conservation task and it is found that 15 of the guided play children show conservation on the task whereas only 8 of the control children do so.

-A $\chi$ ² analysis on the data above gives:

A) $\chi$ ² = 5.013 with p < .01 and1 df
B) $\chi$ ² = 5.013 with p < .05 and I df
C) $\chi$ ² = 5.013 with p < .01 and 2 df
D) $\chi$ ² = 5.013 with p < .05 and 2 df

Question 7

A 2 x 3 $\chi$ ² analysis is not very safe if:

A) Any expected frequency cell value is less than 5
B) Any observed frequency cell value is less than 5
C) More than 20% of observed frequency cell values are less than 5
D) More than 20% of expected frequency cell values are less than 5

Question 8

8) In a loglinear analysis which looks at the association between gender, age (old/young), housing (own house or not) and whether people keep their dental appointment or not there would be:

A) One 4-way interaction, four 3-way interactions and six 2-way interactions
B) One 4-way interaction, three 3-way interactions and four 2-way interactions
C) Three 4-way interactions, four 3-way interactions and six 2-way interactions
D) One 4-way interaction, three 3-way interactions and six 2-way interactions

Question 9

A goodness of fit $\chi$ ² analysis:

A) Tests the fit of frequencies on a single variable to a theoretical distribution
B) Tests the fit of frequencies on two variables to a theoretical distribution
C) Tests the fit of frequencies on several variables to a theoretical distribution
D) Tests the fit of frequencies on a single variable only to a normal distribution

Question 10

The effect size in a $\chi$ ² analysis can be estimated using:

A) Spearman's correlation coefficient
B) A t test
C) Cramer's phi
D) Loglinear analysis