Your research team is interested in studying how factors how gender and alcohol consumption are related to grip strength, and how these factors interact. SO you have 3 questions:
Does gender influence grip strength?
Does alcohol consumption influence grip strength?
Do gender and alcohol consumption influence grip strength
Alcohol is dichotomized as those who consume alcohol at least weekly, and those who do not
So now you have:
“Gender” main effect
H0: No difference in strength of grip between man and women
H1: You fill in_____________________________________________
Main effect for “alcohol”
H0: _______________________________________________________
H1: _______________________________________________________
“Interaction” for gender and alcohol
H0: Influence of alcohol consumption on grip strength is the same for men and women
H1: ______________________________________________________________
N= 50/Here is a table of 12 of them. Look at the table
Gender/Alcohol/GripStrength
F/Y/19 M/Y/31
F/Y/20 M/Y/30
F/Y/21 M/Y/35
FN/30 M/N/32
F/N/25 M/N/35
F/N/28 M/N/32
The Experimenters made an ANOVA testing differences in grip strength for gender and alcohol consumption. They Found:
Source Sum of Squares df Mean Square F Sig.
Corrected 733.085 3 244.362 20.03 .001
Gender 504.806 1 504.806 41.39 .001
Alcohol 148.325 1 148.35 12.16 .001
Gender*Alch 80.769 1 80.769 6.622 .001
It looks like both main effects and interaction are significant
What does that mean?
What Does that Mean for:
Gender: F (1,46) =41.385 p less than .001_____________________________
Alcohol: F (1.46) = 12.160 p = .001___________________________________
Gender x Alcohol: F (1.46) = 6.622 p =.0131 __________________________
In case of Gender: F (1,46)= 41.385 p is less than .001. The value of p is less than.05 significance level.We reject the null hypothesis.There exists a difference in the strength of grip between men and women.
In case of Alcohol: F (1.46) = 12.160 p = .001 The value of p is less than .05 significance level. We reject the null hypothesis.There exists no difference between the grip strength of people who consume alcohol at least weekly or not.
In case of interaction level. We reject the null hypothesis that influence of alcohol consumption on grip strength is the same for men and women
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