In many situations in which the diffrence in variances is not toogreat, the results from the AOV comparisons of the population means of the transformed data are very similar to the results that would have been obtained using the original data. In these situations, the researcher is inclined to ignore the transfomations because the scale of the transformed data is not relevant to the researcher. Thus, confidence intervals constructed for the means using the transformed data may not be very relevant. One possiole remedy for this problem is to construct confidence intervals using the transformed data and then perform an inverse transformation of the endpoints of the intervals. Then we would obtain a confidence interval with values having the same units of measurement as the original data. Subject A, A Ag 3.0 1.8 1.3 1.2 6.3 12.6 3 1.0 5.2 10.0 0.7 3.7 10.5 1.1 5.4 10.8 0.6 2.9 5.9 17 1.2 6.0 12.1 0.1 0.3 0.6 0.7 13.6 18.6 10 1.9 9.3 18.7 11 0.6 2.8 5.5 12 0.0 0.0 0.0 13 1.6 8.1 18.2 14 4.0 19.9 22.3 15 0.1 0.3 0.6 Mean 1.19 5.04 9.85 St. Dev. 1.097 4.97 7.41 CV 93 99 75 a. Test the hypothesis that the mean hours of relief for atint from the threetreatments difersuing a = .05. Use the transformed data. b. Comment on any differences in the results of the test of hypotheses. C. Perform an inverse transformation on the endpaints of the ntervls constructed in part. Compare these intervals to the ones constructed in part (a).
In many situations in which the diffrence in variances is not toogreat, the results from the AOV comparisons of the population means of the transformed data are very similar to the results that would have been obtained using the original data. In these situations, the researcher is inclined to ignore the transfomations because the scale of the transformed data is not relevant to the researcher. Thus, confidence intervals constructed for the means using the transformed data may not be very relevant. One possiole remedy for this problem is to construct confidence intervals using the transformed data and then perform an inverse transformation of the endpoints of the intervals. Then we would obtain a confidence interval with values having the same units of measurement as the original data. Subject A, A Ag 3.0 1.8 1.3 1.2 6.3 12.6 3 1.0 5.2 10.0 0.7 3.7 10.5 1.1 5.4 10.8 0.6 2.9 5.9 17 1.2 6.0 12.1 0.1 0.3 0.6 0.7 13.6 18.6 10 1.9 9.3 18.7 11 0.6 2.8 5.5 12 0.0 0.0 0.0 13 1.6 8.1 18.2 14 4.0 19.9 22.3 15 0.1 0.3 0.6 Mean 1.19 5.04 9.85 St. Dev. 1.097 4.97 7.41 CV 93 99 75 a. Test the hypothesis that the mean hours of relief for atint from the threetreatments difersuing a = .05. Use the transformed data. b. Comment on any differences in the results of the test of hypotheses. C. Perform an inverse transformation on the endpaints of the ntervls constructed in part. Compare these intervals to the ones constructed in part (a).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:In many situations in which the diffrence in variances is not toogreat, the results from the AOV comparisons
of the population means of the transformed data are very similar to the results that would have been
obtained using the original data. In these situations, the researcher is inclined to ignore the transfomations
because the scale of the transformed data is not relevant to the researcher. Thus, confidence intervals
constructed for the means using the transformed data may not be very relevant. One possiole remedy for
this problem is to construct confidence intervals using the transformed data and then perform an inverse
transformation of the endpoints of the intervals. Then we would obtain a confidence interval with values
having the same units of measurement as the original data.
Subject A, A Ag
3.0 1.8 1.3
1.2 6.3 12.6
3
1.0 5.2 10.0
0.7 3.7 10.5
1.1 5.4 10.8
0.6 2.9 5.9
17
1.2 6.0 12.1
0.1 0.3 0.6
0.7 13.6 18.6
10
1.9 9.3 18.7
11
0.6 2.8 5.5
12
0.0 0.0 0.0
13
1.6 8.1 18.2
14
4.0 19.9 22.3
15
0.1 0.3 0.6
Transcribed Image Text:Mean
1.19
5.04
9.85
St. Dev.
1.097
4.97
7.41
CV
93
99
75
a. Test the hypothesis that the mean hours of relief for atint from the threetreatments difersuing a =
.05. Use the transformed data.
b. Comment on any differences in the results of the test of hypotheses.
C. Perform an inverse transformation on the endpaints of the ntervls constructed in part. Compare these
intervals to the ones constructed in part (a).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 3 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman