Deck 8: Testing Associations Between Categorical Variables

Question 1

Questions are based on a fictional dataset addressing the association of being a regular sports player and having attended accident and emergency with an unintentional injury.

How many injured sports players took part in the study?

A)1305
B)59
C)95
D)600

Answer 1

59

Question 2

Questions are based on a fictional dataset addressing the association of being a regular sports player and having attended accident and emergency with an unintentional injury.

What should we conclude from this study?

A)Sports players are significantly less likely to attend accident and emergency
B)Sports players are significantly more likely to attend accident and emergency
C)There is no association between playing sport and attending accident and emergency
D)None of the above

Answer 2

Sports players are significantly more likely to attend accident and emergency

Question 3

In the study described in Question 2, the following preferences were observed: flavour A - 12 flavour B - 217 flavour C - 100 flavour D - 171
Which test could you use to test whether this distribution differs significantly from chance?

A)One variable χ² test
B)Cramer's V
C)Fisher's Exact Test
D)None of the above

Answer 3

One variable χ² test

Question 4

Questions are based on a fictional dataset addressing the association of being a regular sports player and having attended accident and emergency with an unintentional injury.

What will the degrees of freedom be for a χ² test of a 56 contingency table?

A)11
B)1
C)30
D)20

Question 5

Questions are based on a fictional dataset addressing the association of being a regular sports player and having attended accident and emergency with an unintentional injury.

What number should replace the '?' in contingency table?

A)2000
B)1400
C)754
D)1846

Question 6

Questions are based on a fictional dataset addressing the association of being a regular sports player and having attended accident and emergency with an unintentional injury.

How should the significance level for the χ² test be reported?

A)p=.019
B)p>.05
C)p=.000
D)p<.001

Question 7

The χ² test may be used for

A)2 × 2 tables
B)2 × 3 tables
C)one variable tests
D)any of the above

Question 8

500 participants are recruited to a study assessing patient preference for 4 different flavours of cough medicine.If all the medicines are equally palatable, how many participants would you expect to prefer each medicine?

A)100
B)500
C)125
D)0

Question 9

When working with categorical variables it is fine to collapse categories together if:

A)The resulting category is theoretically meaningful
B)You have only a few people in some categories
C)You have violated the assumptions of the χ² test if you do not
D)Categories may never be collapsed

Question 10

Questions are based on a fictional dataset addressing the association of being a regular sports player and having attended accident and emergency with an unintentional injury.

What percentage of sports players have been injured?

A)6.8%
B)9.8%
C)11.0%
D)78.3%