The previous problem demonstrates that removing individual differences can substantially reduce variance and lower the standard error. However, this benefit occurs only if the individual differences are consistent across treatment conditions. In the previous problem, for example, the participants with the highest scores in the neutral-word condition also had the highest scores in the swear-word condition. Similarly, participants with the lowest scores in the neutral-word condition also had the lowest scores in the swear-word condition. The following data consist of the scores in the previous problem, but with the scores in the swear-word condition scrambled to eliminate the consistency of the individual differences. Complete the following table and find M and SS for each group of scores and for the differences. Participant Neutral Word X1 Swearing X2 Difference D = X2 - X1 A 5 В 9 2 9 4 10 E 10 8 F 9 G 6 7 H 10 5 I 6 8 Σ M = M = M = SS = SS = SS =

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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t-critical =     
 
t =     
 
Fail to reject H₀. The mean difference is not significant.
 
Reject H₀. The mean difference is not significant.
 
Reject H₀. The mean difference is significant.
 
Fail to reject H₀. The mean difference is significant.
 
 
Now assume that the data are from a repeated-measures study using the same sample of n = 9 participants in both treatment conditions. Compute the variance for the sample of difference scores and the estimated standard error for the mean difference. (Hint: This time you should find that removing the individual differences does not reduce the variance or the standard error.)
=     
sMDMD =     
 
Compute the repeated measures t statistic. Using α = .05, is there a significant difference between the two sets of scores?
t-critical =     
 
t =     
 
Fail to reject H₀. The mean difference is not significant.
 
Fail to reject H₀. The mean difference is significant.
 
Reject H₀. The mean difference is significant.
 
Reject H₀. The mean difference is not significant.
M =
M =
M =
SS =
SS =
SS =
Assume that the data are from an independent-measures study using two separate samples, each with n = 9 participants. Compute the pooled
variance and the estimated standard error for the mean difference. (Use three decimal places.)
SM1 – M2
Compute the independent measures t statistic. Using a = .05, is there a significant difference between the two sets of scores?
t Distribution
Degrees of Freedom = 11
O O
-3.0
-2.0
-1.0
0.0
1.0
2.0
3.0
Transcribed Image Text:M = M = M = SS = SS = SS = Assume that the data are from an independent-measures study using two separate samples, each with n = 9 participants. Compute the pooled variance and the estimated standard error for the mean difference. (Use three decimal places.) SM1 – M2 Compute the independent measures t statistic. Using a = .05, is there a significant difference between the two sets of scores? t Distribution Degrees of Freedom = 11 O O -3.0 -2.0 -1.0 0.0 1.0 2.0 3.0
21. Gravetter/Wallnau/Forzano, Essentials - Chapter 11 - End-of-chapter question 21
The previous problem demonstrates that removing individual differences can substantially reduce variance and lower the standard error. However, this
benefit occurs only if the individual differences are consistent across treatment conditions. In the previous problem, for example, the participants with
the highest scores in the neutral-word condition also had the highest scores in the swear-word condition. Similarly, participants with the lowest scores
in the neutral-word condition also had the lowest scores in the swear-word condition. The following data consist of the scores in the previous problem,
but with the scores in the swear-word condition scrambled to eliminate the consistency of the individual differences.
Complete the following table and find M and SsS for each group of scores and for the differences.
Participant
Neutral Word X1
Swearing X2
Difference D = X2 - X1
A
5
B
9
2
D
4
10
E
10
8
4
G
6
7
H
10
5
I
6
8
Σ
M =
M =
M =
SS =
SS =
SS =
Transcribed Image Text:21. Gravetter/Wallnau/Forzano, Essentials - Chapter 11 - End-of-chapter question 21 The previous problem demonstrates that removing individual differences can substantially reduce variance and lower the standard error. However, this benefit occurs only if the individual differences are consistent across treatment conditions. In the previous problem, for example, the participants with the highest scores in the neutral-word condition also had the highest scores in the swear-word condition. Similarly, participants with the lowest scores in the neutral-word condition also had the lowest scores in the swear-word condition. The following data consist of the scores in the previous problem, but with the scores in the swear-word condition scrambled to eliminate the consistency of the individual differences. Complete the following table and find M and SsS for each group of scores and for the differences. Participant Neutral Word X1 Swearing X2 Difference D = X2 - X1 A 5 B 9 2 D 4 10 E 10 8 4 G 6 7 H 10 5 I 6 8 Σ M = M = M = SS = SS = SS =
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