This is the summary table for the ANOVA test: S.S.d.f.M.S.Between22.61223958333337.5374131944444Within198.058958333331881.0535050975177TOTAL220.67119791667191From this table, you obtain the necessary statistics for the ANOVA:F-ratio: 7.154605338127p-value: 0.00014η2=η2= 0.10247028065653Use a significance level of α=0.01α=0.01. Explain what this tells us about the equality of means? Let's look at the boxplot for each treatment:See Attached ImageHow could boxplots refine our conclusion in an ANOVA test? Your answer should address this specific problem. ModeratelyHighModerateLowModerateSevereSevere1.10.12.82.831.62.23.10.12.63.31.7This is the summary table for the ANOVA test:S.S.d.f. || M.S.Between 22.61223958333337.5374131944444Within198.058958333331881.0535050975177TOTAL220.67119791667 191From this table, you obtain the necessary statistics for the ANOVA:F-ratio: 7.154605338127p-value: 0.00014n? = 0.10247028065653What is your final conclusion? Use a significance level of a = 0.01.There is a significant difference between treatmentsThese data do not provide evidence of a difference between the treatmentsExplain what this tells us about the equality of means.Let's look at the boxplot for each treatment:SevereModerately SevereHigh ModerateLow Moderate236Depression ScoresHow could boxplots refine our conclusion in an ANOVA test? Your answer should address this specificproblem.Question Help: Message instructor

F-ratio: 7.154605338127p-value: 0.00014η2= 0.10247028065653Use a significance level of α=0.01

Answered: This is the summary table for the ANOVA…

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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Question

This is the summary table for the ANOVA test:

	S.S.	d.f.	M.S.
Between	22.612239583333	3	7.5374131944444
Within	198.05895833333	188	1.0535050975177
TOTAL	220.67119791667	191

From this table, you obtain the necessary statistics for the ANOVA:
F-ratio: 7.154605338127
p-value: 0.00014
η2=η2= 0.10247028065653

Use a significance level of α=0.01α=0.01.

Explain what this tells us about the equality of means?

Let's look at the boxplot for each treatment:

See Attached Image

How could boxplots refine our conclusion in an ANOVA test? Your answer should address this specific problem.

Moderately
High
Moderate
Low
Moderate
Severe
Severe
1.1
0.1
2.8
2.8
3
1.6
2.2
3.1
0.1
2.6
3.3
1.7
This is the summary table for the ANOVA test:
S.S.
d.f. || M.S.
Between 22.612239583333
3
7.5374131944444
Within
198.05895833333
188
1.0535050975177
TOTAL
220.67119791667 191
From this table, you obtain the necessary statistics for the ANOVA:
F-ratio: 7.154605338127
p-value: 0.00014
n? = 0.10247028065653
What is your final conclusion? Use a significance level of a = 0.01.
There is a significant difference between treatments
These data do not provide evidence of a difference between the treatments
Explain what this tells us about the equality of means.
Let's look at the boxplot for each treatment:
Severe
Moderately Severe
High Moderate
Low Moderate
2
3
6
Depression Scores
How could boxplots refine our conclusion in an ANOVA test? Your answer should address this specific
problem.
Question Help: Message instructor

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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