A study of admission rates of men and women into graduate programs for several majors at a certain university was conducted. The study found that overall a higher percentage of men were admitted than women. However, when looking at each major program separately it was found that the rate of admission for women was higher than that for men.
Which of the following statements is true? Check all that apply.
This is an example of Simpson’s paradox.
This is an example of a negative association between variables.
“Type of major” may be a lurking variable in this study.
This situation is mathematically impossible.
A study of admission rates of men and women into graduate programs for several majors at a certain university was conducted. The study found that overall a higher percentage of men were admitted than women. However, when looking at each major program separately it was found that the rate of admission for women was higher than that for men.
Which of the following statements is true? Check all that apply.
This is an example of Simpson’s paradox.
This is an example of a negative association between variables.
“Type of major” may be a lurking variable in this study.
This situation is mathematically impossible.
A study of admission rates of men and women into graduate programs for several majors at a certain university was conducted. The study found that overall a higher percentage of men were admitted than women. However, when looking at each major program separately it was found that the rate of admission for women was higher than that for men.
Which of the following statements is true? Check all that apply.
This is an example of Simpson’s paradox.
This is an example of a negative association between variables.
“Type of major” may be a lurking variable in this study.
This situation is mathematically impossible.
For the given situation, there are two correct choices out of given 4.
1) Simpson\'s Paradox:
As per simpson\'s paradox, a trend may appear in different groups of data but disappears or reverses when these groups are combined and vice versa. This is exactly what is happening in the given statement. On a whole, the % of men who got admission are higher. But looking at individual major programs, it is the other way around. Therefore, this is an example of Simpson\'s Paradox.
3) Type of Major may be a lurking variable in the given study:
We know that a lurking variable can falsely identify a strong relationship between variables or it can hide the true relationship. So type of major may be unable to identify correct which gender had the higher admission rate, or it may be hiding the truth. Either way, it is possible for the given study to exist if the \'type of major\' is a lurking variable.
Therefore, the first and the third choices seem correct.
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