The following data are from an experiment comparing three different treatment conditions    Treatment          I II III P     6 9 12 27 N = 18   8 8 8 24 G = 108   5 7 9 21 ΣX2 = 800   0 4 8 12     2 3 4 9     3 5 7 15     M = 4 M = 6 M = 8       T = 24 T = 36 T = 48       SS =42 SS = 28 SS = 34       Assume that the data are from an independent- measures study using three separate samples, each with n = 6 participants. Ignore the column of P totals and use an between-subjects ANOVA with α = .05 to test the significance of the mean differences. (follow the four-step procedure) Now assume that the data are from a repeated- measures study using the same sample of n = 6 participants in all three treatment conditions. Use a repeated-measures ANOVA with α = .05 to test the significance of the mean differences. (follow the four-step procedure) Explain why the two analyses lead to different conclusions Compute partial eta square for problem 2. Report your results of the hypothesis test and effect size in APA format Conduct a post hoc analysis for Problem 2 using HSD.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

The following data are from an experiment comparing three different treatment conditions

 

 Treatment

 

 

 

 

 I

II

III

P

 

 

6

9

12

27

N = 18

 

8

8

8

24

G = 108

 

5

7

9

21

ΣX2 = 800

 

0

4

8

12

 

 

2

3

4

9

 

 

3

5

7

15

 

 

M = 4

M = 6

M = 8

 

 

 

T = 24

T = 36

T = 48

 

 

 

SS =42

SS = 28

SS = 34

 

 

 

  1. Assume that the data are from an independent- measures study using three separate samples, each with n = 6 participants. Ignore the column of P totals and use an between-subjects ANOVA with α = .05 to test the significance of the mean differences. (follow the four-step procedure)

  2. Now assume that the data are from a repeated- measures study using the same sample of n = 6 participants in all three treatment conditions. Use a repeated-measures ANOVA with α = .05 to test the significance of the mean differences. (follow the four-step procedure)

  3. Explain why the two analyses lead to different conclusions

  4. Compute partial eta square for problem 2. Report your results of the hypothesis test and effect size in APA format

  5. Conduct a post hoc analysis for Problem 2 using HSD.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 11 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman