Answered: To study the effectiveness of possible…

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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To study the effectiveness of possible treatments for insomnia, a sleep researcher conducted a study in which four participants were instructed to count sheep (the Sheep Condition), four were told to concentrate on their breathing (the Breathing Condition), and four were not given any special instructions (the Control Condition). The average number of minutes taken for participants to fall asleep over the next seven days were 39, 33, 42, and 38 minutes for the Sheep condition; 33, 25, 31, and 27 minutes for the Breathing condition; and 44, 41, 38, and 41 for the Control condition. The researcher obtained this omnibus one-way ANOVA result: F (2, 9) = 14.04, p < .01 where Sheep: M = 38, S² = 14; Breathing: M = 29, S² = 13.33; Control: M = 41, S² = 6,

Explain what that result means in relation to the researcher’s original question.
Further, the researcher conducted a planned contrast between the means for those in the Sheep Condition versus those in the Breathing Condition and found F = (1,9) = 14.58, p < .01; Reject null hypothesis. In simple terms, what is a planned contrast and what does this result mean?

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