A study was conducted to examine the effect of heat and duration of stretching on the extensibility of hamstring muscles and their electromyographic responses to passive stretch in children with hypertonia and severe mental retardation. Twenty subjects were randomly assigned to the following four treatments with five subjects per treatment: (A) 10-second stretching, (B) 30-second stretching, (C) hot pack followed by 10-second stretching and (D) hot pack followed by 30-second stretching. The outcome measure is the increase in hamstring extensibility (Y) and the data are given in Table 4. Table 4 Treatment A B C 0.07 -0.19 1.11 0.57 1.24 0.5 1.28 2.19 (b) Obtain the ANOVA table. Y 0.62 0.64 1.08 1.25 0.34 0.48 2.03 1.11 1.12 0.64 1.08 1.79 Consider a one-way ANOVA to study the effects of the four treatments. Denote μA to μD as the means of increase in hamstring extensibility under treatments A to D respectively. (a) Estimate the parameters for the ANOVA model. (6) Using a = 0.05 to test whether or not the mean increase in hamstring extensibility is the

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
Question
A study was conducted to examine the effect of heat and duration of stretching on the
extensibility of hamstring muscles and their electromyographic responses to passive stretch in
children with hypertonia and severe mental retardation. Twenty subjects were randomly
assigned to the following four treatments with five subjects per treatment: (A) 10-second
stretching, (B) 30-second stretching, (C) hot pack followed by 10-second stretching and (D) hot
pack followed by 30-second stretching. The outcome measure is the increase in hamstring
extensibility (Y) and the data are given in Table 4.
Table 4
Treatment
A
B
C
D
0.07
-0.19
1.11
0.57
1.24
0.5
1.28
2.19
(b) Obtain the ANOVA table.
Y
0.62
0.64
1.08
1.25
0.34
0.48
2.03
1.11
Consider a one-way ANOVA to study the effects of the four treatments. Denote μA to μD as the
means of increase in hamstring extensibility under treatments A to D respectively.
(a) Estimate the parameters for the ANOVA model.
(d) Obtain 95% confidence interval for μA.
(c) Using a = 0.05 to test whether or not the mean increase in hamstring extensibility is the
same for the four treatments. State the hypotheses, decision rule and conclusion.
1.12
0.64
1.08
1.79
(e) Obtain and comment on the 95% confidence interval for μA - μB.
(f) Estimate and comment on the contrast of the treatment means : L =
With a 90% confidence interval.
MA + MB
2
eq
μc + UD
2
Transcribed Image Text:A study was conducted to examine the effect of heat and duration of stretching on the extensibility of hamstring muscles and their electromyographic responses to passive stretch in children with hypertonia and severe mental retardation. Twenty subjects were randomly assigned to the following four treatments with five subjects per treatment: (A) 10-second stretching, (B) 30-second stretching, (C) hot pack followed by 10-second stretching and (D) hot pack followed by 30-second stretching. The outcome measure is the increase in hamstring extensibility (Y) and the data are given in Table 4. Table 4 Treatment A B C D 0.07 -0.19 1.11 0.57 1.24 0.5 1.28 2.19 (b) Obtain the ANOVA table. Y 0.62 0.64 1.08 1.25 0.34 0.48 2.03 1.11 Consider a one-way ANOVA to study the effects of the four treatments. Denote μA to μD as the means of increase in hamstring extensibility under treatments A to D respectively. (a) Estimate the parameters for the ANOVA model. (d) Obtain 95% confidence interval for μA. (c) Using a = 0.05 to test whether or not the mean increase in hamstring extensibility is the same for the four treatments. State the hypotheses, decision rule and conclusion. 1.12 0.64 1.08 1.79 (e) Obtain and comment on the 95% confidence interval for μA - μB. (f) Estimate and comment on the contrast of the treatment means : L = With a 90% confidence interval. MA + MB 2 eq μc + UD 2
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 2 images

Blurred answer
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