ment examines the performance, as measured by the number of errors made, on a motor skills task. 24 subjects, 12 young and 12 old were assigned to either an easy or hard motor skills task. There were 2 factors in the study: age (young/old) and difficulty of the motor skills task (easy/hard). The number of errors made on the motor skills task was recorded for each person and is presented in the table below.   Null and Alternative Hypotheses:

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I need more information. I have listed my conclusions below and relevant information. At the end of this post is my question.

This experiment examines the performance, as measured by the number of errors made, on a motor skills task. 24 subjects, 12 young and 12 old were assigned to either an easy or hard motor skills task.

There were 2 factors in the study: age (young/old) and difficulty of the motor skills task (easy/hard). The number of errors made on the motor skills task was recorded for each person and is presented in the table below.

 

Null and Alternative Hypotheses:

H0: There is not an interaction between young and old

H0: µYoung = µOld

H1: There is an interaction between young and old

H1: µYoung ≠ µOld

H0: There is not an interaction between easy and hard

H0: µEasy = µHard

H1: There is an interaction between young and old

H1: µEasy ≠ µHard

H0: There is not an interaction between age and difficulty

H0: µAge = µDifficulty

H1: There is an interaction between age and difficulty.

H1: µAge ≠ µDifficulty

Since the p-value for the factor age is 0.0002 which is less than 0.05, hence we can reject the null hypothesis and conclude that there is an interaction effect between young and old.

Since the p-value for the factor difficult level is 0 which is less than 0.05, hence we can reject the null hypothesis and conclude that there is an interaction effect between easy and hard.

Since the p-value for the factor interaction effect is 0.0231 which is less than 0.05, hence we can reject the null hypothesis and conclude that there is an interaction effect between the factor's age and difficulty level.

 

What I need:

I need a graph, labeled which will describe any significant interaction(s). (For this, it is fine to make it look like the plot shown in SPSS.) Use α = .05 for each test

ANOVA table
Source of Variation Sums of Squares Degrees of freedom
Mean Squares
MS
p-value
F
DF
77.0417
77.0417
SS, = 77.0417
a -1 =1
77.0417
A
MSR
1
3.6417
= 21.1556 0.0002
155.0417
155.0417
SSg = 155.0417
b-1 = 1
MS =
= 42.5744 0
= 155.0417
1
3.6417
22.0417
22.0417
SS AB = 22.0417 (a - 1)(b - 1) = 1
MS
= 22.0417
AB
= 6.0526 0.0231
AB
3.6417
72.8333
Error (residual)
SS; = 72.8333
rab - ab = 20
MSE
%3D
= 3.6417
%3D
20
Total
SS,= 326.9583
rab -1 = 23
%3D
Transcribed Image Text:ANOVA table Source of Variation Sums of Squares Degrees of freedom Mean Squares MS p-value F DF 77.0417 77.0417 SS, = 77.0417 a -1 =1 77.0417 A MSR 1 3.6417 = 21.1556 0.0002 155.0417 155.0417 SSg = 155.0417 b-1 = 1 MS = = 42.5744 0 = 155.0417 1 3.6417 22.0417 22.0417 SS AB = 22.0417 (a - 1)(b - 1) = 1 MS = 22.0417 AB = 6.0526 0.0231 AB 3.6417 72.8333 Error (residual) SS; = 72.8333 rab - ab = 20 MSE %3D = 3.6417 %3D 20 Total SS,= 326.9583 rab -1 = 23 %3D
Difficulty
Easy
Hard
5
7
3
5
8
Age
Young
9
4
9
6.
7
6
10
7
11
6
14
Age
Old
5
15
3
12
16
Transcribed Image Text:Difficulty Easy Hard 5 7 3 5 8 Age Young 9 4 9 6. 7 6 10 7 11 6 14 Age Old 5 15 3 12 16
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