Complete the following ANOVA summary table. There are 4 groups with 5 samples each. Use a signifcance level of 0.10 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 F Between 29.4 Within TOTAL 72.55

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Complete the following ANOVA summary table. There are 4 groups with 5 samples each. Use a signifcance
level of 0.10
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
29.4
Within
TOTAL
72.55
One Way Analysis of Variance (ANOVA)
ANOVA Table
Degrees of
Freedom df
Sum of Squares SS
Mean of
F-Test
Squares MS
Statistic
SSg
MS =
dfe
MSB
M Sw
Between
n, (x
%D
=k-1
(Numerator)
d fay =dfp
- N-k
SSw
MSy =
dfw
Within
SSw =
SS, =
(x-)
(Denominator)
Total
SS- SSg + SSw
dfr
= dfs + dfw
Definitions
Transcribed Image Text:Complete the following ANOVA summary table. There are 4 groups with 5 samples each. Use a signifcance level of 0.10 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 29.4 Within TOTAL 72.55 One Way Analysis of Variance (ANOVA) ANOVA Table Degrees of Freedom df Sum of Squares SS Mean of F-Test Squares MS Statistic SSg MS = dfe MSB M Sw Between n, (x %D =k-1 (Numerator) d fay =dfp - N-k SSw MSy = dfw Within SSw = SS, = (x-) (Denominator) Total SS- SSg + SSw dfr = dfs + dfw Definitions
One Way Analysis of Variance (ANOVA)
ANOVA Table
Degrees of
Freedom df
Sum of Squares SS
Mean of
F-Test
Squares MS
Statistic
SS
MSg =
dfa
MS
F =
MSw
Between
%3D
(Numerator)
= k -1
SSw
MSw =
dfw
Within
SSw =
dfw = dfp
%3D
(Denominator)
= N-k
MSS+ "ss=5s
= dfs + dfw
Total
dfr
Definitions
Grand Mean: Mean of all data points
Mean of each group
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
dfv
k
MS
Sum of Squares within each group
Degrees of Freedom within each group
Number of groups
Mean of the Squares within each group
SS
dfs
MSg
Use the F distribution table to find the critical value F.
%3D
(3 decimal places)
ce level what is the decision regardingthe hypotbeses?
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 MSg = dfa MS F = MSw Between %3D (Numerator) = k -1 SSw MSw = dfw Within SSw = dfw = dfp %3D (Denominator) = N-k MSS+ "ss=5s = dfs + dfw Total dfr Definitions Grand Mean: Mean of all data points Mean of each group 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 dfv k MS Sum of Squares within each group Degrees of Freedom within each group Number of groups Mean of the Squares within each group SS dfs MSg Use the F distribution table to find the critical value F. %3D (3 decimal places) ce level what is the decision regardingthe hypotbeses?
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