Researchers approached potential male and female participants at a number of bars. The researchers repeated this process at 9pm, 10:30pm and 12am. When a potential participant agreed to participate, they were asked to rate a set of pictures (of members of the opposite sex) on physical attractiveness (using a scale of 1-7).             Here are the ratings from the participants:   9pm 10:30pm 12am Males rating females 5.8 6.2 6.6 Females rating males 4.8 5.2 5.6                 Which is correct?     there is a main effect for time period only.     there are no main effects     there is a main effect for gender only     there are two main effects

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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  1. Researchers approached potential male and female participants at a number of bars. The researchers repeated this process at 9pm, 10:30pm and 12am. When a potential participant agreed to participate, they were asked to rate a set of pictures (of members of the opposite sex) on physical attractiveness (using a scale of 1-7).
                Here are the ratings from the participants:

 

9pm

10:30pm

12am

Males rating females

5.8

6.2

6.6

Females rating males

4.8

5.2

5.6


  1.  
     
                Which is correct?
   

there is a main effect for time period only.

   

there are no main effects

   

there is a main effect for gender only

   

there are two main effects

Expert Solution
Step 1
  9:00PM 10:30PM 12:00PM Total
Males rating females 5.8 6.2 6.6 18.6
Females rating males 4.8 5.2 5.6 15.6
Total 10.6 11.4 12.2 34.2

A: effect due to gender

B: effect due to time

yij : denotes ith gender and jth time.

p=2(no of genders)

q=3(no of timings)

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