An experiment was conducted to examine the performance (as measured by the number of errors made) on a motor skills task. Twenty-four subjects (12 young and 12 old) were assigned to either an easy or hard motor skills task.  There were two 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 b

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 17E
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An experiment was conducted to examine the performance (as measured by the number of errors made) on a motor skills task. Twenty-four subjects (12 young and 12 old) were assigned to either an easy or hard motor skills task.  There were two 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


I need the partial η2 scores for this, they are all bellow 

 

F(1, 20) = 21.16, p (= 0.00017) < 0.05, partial η 2 = ?

Young (M = 5.92, SD = 2.23) Old (M = 9.5, SD = 4.21)

F(1, 20) = 42.57, p (= 0.000002) < 0.05, partial η 2 = ?

Easy (M = 5.17 SD = 1.95) Hard (M = 10.25, SD = 3.44)

F(1, 20) = F(1, 20) = 6.05, p (= 0.0231) < 0.05, p ?, partial η 2 = ?

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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