Complete the following ANOVA summary table. There are 5 groups with 4 samples each. Use a signifcance level of 0.01 Ho: All population means are equal Ha: At least one population mean is different from the others (claim) Round all values to 2 decimal places df MS Between 28.44 Within TOTAL 82.77 One Way Analysis of Variance (ANOVA) ANOVA Table Degrees of Freedom df Sum of Squares SS Mean of F-Test Squares MS Statistic SS MS = dfe MS Between SSg = (Numerator) =k-1 MS Within dfr = dfp SS SSw = = SK d fwr 3D'SS =N-k (Denominator) df- = df + dfw Total SS- = SS, + SS Definitions
Complete the following ANOVA summary table. There are 5 groups with 4 samples each. Use a signifcance level of 0.01 Ho: All population means are equal Ha: At least one population mean is different from the others (claim) Round all values to 2 decimal places df MS Between 28.44 Within TOTAL 82.77 One Way Analysis of Variance (ANOVA) ANOVA Table Degrees of Freedom df Sum of Squares SS Mean of F-Test Squares MS Statistic SS MS = dfe MS Between SSg = (Numerator) =k-1 MS Within dfr = dfp SS SSw = = SK d fwr 3D'SS =N-k (Denominator) df- = df + dfw Total SS- = SS, + SS Definitions
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
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![Complete the following ANOVA summary table. There are 5 groups with 4 samples each. Use a signifcance
level of 0.01
Ho: All population means are equal
Ha:At least one population mean is different from the others (claim)
Round all values to 2 decimal places
SS
df
MS
Between
28.44
Within
TOTAL
82.77
One Way Ana
of Variance (ANOVA)
ANOVA Table
Degrees of
Freedom df
Sum of Squares SS
Mean of
F-Test
Squares MS
Statistic
SS
MS =
dfs
MS
d fa = dfx
= k - 1
Between
SS, = > n, (5-5)F
MSw
(Numerator)
SS
d fwr
Within
(x - ,)
d fw = dfp
='SS
=N-k
(Denominator)
df-
= df + dfw
Total
SS = SS, + SS
Definitions
Mean of
data noints](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fafbb34f7-6cc7-4027-b1ef-aba15d7abbe8%2F9719afdd-985c-44f2-b71b-c903466f9a00%2Fcwoce5l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Complete the following ANOVA summary table. There are 5 groups with 4 samples each. Use a signifcance
level of 0.01
Ho: All population means are equal
Ha:At least one population mean is different from the others (claim)
Round all values to 2 decimal places
SS
df
MS
Between
28.44
Within
TOTAL
82.77
One Way Ana
of Variance (ANOVA)
ANOVA Table
Degrees of
Freedom df
Sum of Squares SS
Mean of
F-Test
Squares MS
Statistic
SS
MS =
dfs
MS
d fa = dfx
= k - 1
Between
SS, = > n, (5-5)F
MSw
(Numerator)
SS
d fwr
Within
(x - ,)
d fw = dfp
='SS
=N-k
(Denominator)
df-
= df + dfw
Total
SS = SS, + SS
Definitions
Mean of
data noints
![One Way Analysis of Variance (ANOVA)
ANOVA Table
Degrees of
Freedom df
Sum of Squares SS
Mean of
F-Test
Squares MS
Statistic
SS
MS3
dfs
MSB
F =
MSw
dfa = dfN
Between
%3D
SSB =
%3D
(Numerator)
= k- 1
Σ
SSw
MSw =
d fw
Within
d fw = dfp
SSw =
(x-
%3D
(Denominator)
= N-k
dfr
= dfs + dfw
Total
SS SSg + SSw
Definitions
Mean of each group
Grand Mean: Mean of all data points
Sum of Squares between groups
Degrees of Freedom between groups
Total number of data points in all groups
Mean of the Squares between groups
SSw
d fw
k
MSw
Sum of Squares within each group
Degrees of Freedom within each group
Number of groups
Mean of the Squares within each group
SSa
dfs
MSg
Use the F distribution table to find the critical value Fo =
(3 decimal places)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fafbb34f7-6cc7-4027-b1ef-aba15d7abbe8%2F9719afdd-985c-44f2-b71b-c903466f9a00%2Fxxxeldt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:One Way Analysis of Variance (ANOVA)
ANOVA Table
Degrees of
Freedom df
Sum of Squares SS
Mean of
F-Test
Squares MS
Statistic
SS
MS3
dfs
MSB
F =
MSw
dfa = dfN
Between
%3D
SSB =
%3D
(Numerator)
= k- 1
Σ
SSw
MSw =
d fw
Within
d fw = dfp
SSw =
(x-
%3D
(Denominator)
= N-k
dfr
= dfs + dfw
Total
SS SSg + SSw
Definitions
Mean of each group
Grand Mean: Mean of all data points
Sum of Squares between groups
Degrees of Freedom between groups
Total number of data points in all groups
Mean of the Squares between groups
SSw
d fw
k
MSw
Sum of Squares within each group
Degrees of Freedom within each group
Number of groups
Mean of the Squares within each group
SSa
dfs
MSg
Use the F distribution table to find the critical value Fo =
(3 decimal places)
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