Two Factor ANOVA How do i fill in the missing values on the chart and find out if the interaction is significant?
Two Factor ANOVA How do i fill in the missing values on the chart and find out if the interaction is significant?
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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Two Factor ANOVA
How do i fill in the missing values on the chart and find out if the interaction is significant?

Transcribed Image Text:Q1. Dr. Ballard obtained 30 participants who were students at his college. He gave each
a mental alertness task 1 hour after waking (higher scores on this test indicate more
mental alertness.) The participants were randomly assigned into six groups. Half the
participants consumed a standard cup of coffee (150 mg of caffeine) 30 minutes after
waking and half did not. One third of the participants were allowed a full night's sleep
(0-hours sleep deprivation), one third were awakened an hour early (1 hours sleep
deprivation), and the final third were awakened 2 hours early (2 hours sleep deprivation).
The following table summarizes the results. There are two levels of caffeine intake
(caffeine and no caffeine), which is designated as factor A (Rows) and three levels of
sleep deprivation (0-, 1-, 2-hours sleep deprivation), which is designated as factor B
(Columns).
Complete the F-table below and evaluate the significance of the main effects and the
interaction using a .05 level of significance.
Source of Variation
SS
df
MS
F
Between Treatments
Factor A
3630
Factor B
1340
AxB
980
Within Treatments
748
Total
Below is the table that shows means for each cell.
Sleep deprivation (Factor B)
1-hour sleep
deprivation
0-hours sleep
deprivation
88
2-hours sieep
deprivation
86
Caffeine
(Factor A)
Caffeine
90
No Caffeine
80
68
50
If the interaction is significant
1D draw a graph showing the interaction.
2) describe the interaction in one or two sentences, including the independent and
dependent variables.
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