MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Please help finish solving the ANOVA summary table at the bottom. Please show work to find the MS: between, within, and total; and then the SS: between, within, and total.
Name
One-Way ANOVA
1. You are testing the effectiveness of three pain medications- A, B, and C- and
also using a placebo control. People are randomly assigned to each group -A, B,
C, and placebo. There are three people in each group. Pain is assessed by
measuring how long (in seconds) a person can withstand a hot stimulus before
stopping it (it is controlled by a button). NOTE: When considering the number
of groups in this experiment, don't forget to include the placecbo group.
N=12
What is the null hypothesis in symbols?
a.
He: M,= M2= M3= My
What is the alternative hypothesis in words?
b.
H, : H,7 MzZ Muz+ My
What is the dfivetween?
4-1=3
d. What is the dfwithin?
12-4-4
e. Using your answers to c. and d., find the critical value of F in the F table.
Use an alpha level of .05.
4.07
f. You lab assistant runs the experiment, and then gives you an ANOVA
summary table. However, she spilled her coffee on it and now some of the
numbers cannot be read. Use your knowledge of the ANOVA procedure
to complete the table. YOU DO NOT NEED TO USE ANY COMPLEX
FORMULAS.
HINT: Fill in the df spaces 1st and work from there.
SECOND HINT: Look at the MS formulas.
SOURCE
SS
df
MS
F=4.07
Between
18
Within
Total
70
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Transcribed Image Text:Name One-Way ANOVA 1. You are testing the effectiveness of three pain medications- A, B, and C- and also using a placebo control. People are randomly assigned to each group -A, B, C, and placebo. There are three people in each group. Pain is assessed by measuring how long (in seconds) a person can withstand a hot stimulus before stopping it (it is controlled by a button). NOTE: When considering the number of groups in this experiment, don't forget to include the placecbo group. N=12 What is the null hypothesis in symbols? a. He: M,= M2= M3= My What is the alternative hypothesis in words? b. H, : H,7 MzZ Muz+ My What is the dfivetween? 4-1=3 d. What is the dfwithin? 12-4-4 e. Using your answers to c. and d., find the critical value of F in the F table. Use an alpha level of .05. 4.07 f. You lab assistant runs the experiment, and then gives you an ANOVA summary table. However, she spilled her coffee on it and now some of the numbers cannot be read. Use your knowledge of the ANOVA procedure to complete the table. YOU DO NOT NEED TO USE ANY COMPLEX FORMULAS. HINT: Fill in the df spaces 1st and work from there. SECOND HINT: Look at the MS formulas. SOURCE SS df MS F=4.07 Between 18 Within Total 70
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