Download data.beergoggles.csv. The hypothesis is that after alcohol had been con

Question

Download data.beergoggles.csv. The hypothesis is that after alcohol had been consumed, subjective perceptions of physical attractiveness would become more inaccurate (beer-goggles effect). There were 48 participants: 24 males, 24 females. The researcher took 3 groups of 8 participants to a night club. One group got no alcohol, one group 2 pints, and one group 4 pints. At the end of the evening the researcher took a photograph of the person the participant was chatting up. The attractiveness of the person on the photo was then rated (0 - 100) by independent judges. Use a 0.03 significance level and apply the methods of two-way analysis of variance. Was there an interaction between the two factors? What is your conclusion?

Female None 65 Female None 70 Female None 60 Female None 60 Female None 60 Female None 55 Female None 60 Female None 55 Female 2 Pints 70 Female 2 Pints 65 Female 2 Pints 60 Female 2 Pints 70 Female 2 Pints 65 Female 2 Pints 60 Female 2 Pints 60 Female 2 Pints 50 Female 4 Pints 55 Female 4 Pints 65 Female 4 Pints 70 Female 4 Pints 55 Female 4 Pints 55 Female 4 Pints 60 Female 4 Pints 50 Female 4 Pints 50 Male None 50 Male None 55 Male None 80 Male None 65 Male None 70 Male None 75 Male None 75 Male None 65 Male 2 Pints 45 Male 2 Pints 60 Male 2 Pints 85 Male 2 Pints 65 Male 2 Pints 70 Male 2 Pints 70 Male 2 Pints 80 Male 2 Pints 60 Male 4 Pints 30 Male 4 Pints 30 Male 4 Pints 30 Male 4 Pints 55 Male 4 Pints 35 Male 4 Pints 20 Male 4 Pints 45 Male 4 Pints 40

Explanation / Answer

We can apply the Rcode to obtain the anova table.

Here is the R code

data=read.csv("data.beergoggles.csv",head=T)

attach(data)

summary(aov(ratings~sex*alcohol))

Here is the anova table:-

Df Sum Sq Mean Sq F value Pr(>F)   
sex 1 169 168.8 2.032 0.161   
alcohol 2 3332 1666.1 20.065 7.65e-07 ***
sex:alcohol 2 1978 989.1 11.911 7.99e-05 ***
Residuals 42 3488 83.0
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

As the p-value for the interaction affect between sex and alcohol (7.99e-05) is very less than 0.03, we shall say that there is an interaction affect between sex and alcohol. Also there is a significant effect due to alcohol because the corresponding p-value= 7.65e-07 is also very small.

Thus the conclusion is that hypothesis is true that after alcohol had been consumed, subjective perceptions of physical attractiveness would become more inaccurate and also that beergogle effect varies with gender.

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