Question

One former Stat 216 student project investigated how well MSU students perceive their own attractiveness. Twenty MSU students were recruited to participate in the study. As part of the study, each student rated their own attractiveness on a scale from 1 - 10. Each of the 20 participants also agreed to have their picture taken. All pictures were taken in similar lighting. In the second part of the study, a group of 79 MSU student volunteers (who were not part of the original group of 20) agreed to rate the attractiveness of each of the 20 people in the pictures on a scale of 1 - 10. The student researchers then averaged the attractiveness rating of the 79 "raters" (here on referred to as the societal rating) to compare to the self-rating in order to determine whether or not MSU students are accurate in their self-perceptions.

Why should these data be treated as paired measurements rather than independent groups?

Question 2 options:

	The same 79 raters gave attractiveness scores for all 20 people pictured.
	The self and societal ratings are both on a scale of 1 - 10.
	We would expect a person's self-rating and the societal rating for that person to be related.
	The pictures were all taken in similar lighting.

Answer 1

Question:

Why should these data be treated as paired measurements rather than independent groups?

Correct option:

We would expect a person's self-rating and the societal rating for that person to be related.

Explanation:

Here, the 2 measurements: Measurement 1: each student rated their own attractiveness and Measurement 2: a group of 79 MSU student volunteers (who were not part of the original group of 20) agreed to rate the attractiveness of each of the 20 people are related.