MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

Question
For the preceding problem you should find that there are significant differences among the three treatments. One reason for the significance is that the sample variances are relatively small. The following data have the same sample means that appeared in the preceding question, but the SS values within each sample are doubled.
I II III  
n = 6 n = 6 n = 6 N = 18
M = 1 M = 2 M = 6 G = 54
SS = 120 SS = 130 SS = 80 ∑X² = 576
 
Calculate the sample variance for each of the three samples.
I II III
s² = 24.00    s² = 26.00    s² = 16.00   
 
These values aremuch larger than   the variances in the previous question (12.00, 13.00, and 8.00).
 
Predict how the increase in sample variance should influence the outcome of the analysis. That is, how will the F-ratio for these data compare with the value obtained in the previous problem?
Larger sample variances shoulddecrease   the F-ratio.
 
Use an ANOVA with α = .05 to determine whether there are any significant differences among the three treatment means.
Source
SS
df
MS
F
Fcriticalcritical
Between treatments 84                       
Within treatments 330                 
Total 414              
 
 

F Distribution

Numerator Degrees of Freedom = 6

Denominator Degrees of Freedom = 16

   
   
0.01.02.03.04.05.06.07.08.09.010.011.012.0F
 
Conclusion:
Fail to reject the null hypothesis; there are no significant differences among the three treatments.
 
Reject the null hypothesis; there are no significant differences among the three treatments.
 
Fail to reject the null hypothesis; there are significant differences among the three treatments.
 
Reject the null hypothesis; there are significant differences among the three treatments.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Similar questions
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman