The following data are from an experiment comparing three different treatment conditions.  A B C   0 1 2   2 5 5 N = 15 1 2 6 ΣX2 = 354 5 4 9   2 8 8   T = 10 T = 20 T = 30   SS = 14 SS = 30 SS = 30   If the experiment uses an independent-measures design, can the research conclude that the treatments are significantly different? Test at the .05 level of significance.  If the experiment is done with a repeated-measures design, should the researcher conclude that the treatments are significantly different? Set alpha at .05 again. Explain why the analyses in parts a and b lead to different conclusions.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 3SE: What is an experiment?
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The following data are from an experiment comparing three different treatment conditions. 

A

B

C

 

0

1

2

 

2

5

5

N = 15

1

2

6

ΣX2 = 354

5

4

9

 

2

8

8

 

T = 10

T = 20

T = 30

 

SS = 14

SS = 30

SS = 30

 

  1. If the experiment uses an independent-measures design, can the research conclude that the treatments are significantly different? Test at the .05 level of significance. 
  2. If the experiment is done with a repeated-measures design, should the researcher conclude that the treatments are significantly different? Set alpha at .05 again.
  3. Explain why the analyses in parts a and b lead to different conclusions. 



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