What is the meaning (eq) of the formula L in the question (f)?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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What is the meaning (eq) of the formula L in the question (f)?
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 - MB.
(f) Estimate and comment on the contrast of the treatment means : L =
With a 90% confidence interval.
MA + MB
2
eq
uc + UD
2
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