One of the primary advantages of a repeated-measures design, compared to an independent-measures design, is that it reduces the overall variability by removing variance caused by individual differences. The following data are from a research study comparing three treatment conditions. Treatments Person I II III Totals A 6 8 10 P = 24 B 5 5 5 P = 15 C 1 2 3 P = 6 D 0 1 2 P = 3   M = 3 M = 4 M = 5 N = 12   T = 12 T = 16 T = 20 G = 48   SS = 26 SS = 30 SS = 38 ∑X² = 294   A. Now assume that the data are from a repeated-measures study using the same sample of n = 4 participants in all three treatment conditions. Use a repeated-measures ANOVA with α = .05 to test the significance of the mean differences. Source SS df MS F Between treatments         Within treatments         Between subjects         Error         Total           B. F critical =      C. Explain why the two analyses lead to different conclusions. The repeated-measures ANOVA   ___   the error variance by removing individual differences. This   ___   the likelihood that the

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter4: Equations Of Linear Functions
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One of the primary advantages of a repeated-measures design, compared to an independent-measures design, is that it reduces the overall variability by removing variance caused by individual differences. The following data are from a research study comparing three treatment conditions.
Treatments
Person
I
II
III
Totals
A 6 8 10 P = 24
B 5 5 5 P = 15
C 1 2 3 P = 6
D 0 1 2 P = 3
  M = 3 M = 4 M = 5 N = 12
  T = 12 T = 16 T = 20 G = 48
  SS = 26 SS = 30 SS = 38 ∑X² = 294
 
A. Now assume that the data are from a repeated-measures study using the same sample of n = 4 participants in all three treatment conditions. Use a repeated-measures ANOVA with α = .05 to test the significance of the mean differences.
Source
SS
df
MS
F
Between treatments
 
 
 
 
Within treatments
 
 
   
Between subjects
 
 
   
Error
 
 
 
 
Total
 
 
   
 
B. F critical = 
 
 
C. Explain why the two analyses lead to different conclusions.
The repeated-measures ANOVA   ___   the error variance by removing individual differences. This   ___   the likelihood that the
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