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Dor
STAT 427
Assignment 7
Spring 2005
ANOVA Table for Model (1)
Source of Variation
Degrees of freedom
Sum of Squares
Mean Square
Among the 5 Groups
4
165113.8303
41278.4576
Within the 5 Groups
54
168449.3900
3119.4331
Total
58
333563.2203
ANOVA Table for Model (2)
Source of Variation
Degrees of freedom
Sum of Squares
Mean Square
Among the 4 Groups
3
160009.1407
53336.3802
Within the 4 Groups
55
173554.0796
3155.5287
Total
58
333563.2203
The ANOVA table for comparing model (1) and model (2), which is provided below, can
be constructed from the information in the preceding ANOVA tables.
The only
computation required is to subtract the reduced model among groups sum of squares from
the full model among groups sum of squares to get SS(full model / reduced model) =
165113.8303 160009.1407 = 5104.689560, with 43 = 1 degrees of freedom.
ANOVA Table for Comparing Model (1) and Model (2).
Source of Variation
Degrees of freedom
Sum of Squares
Mean Square
Reduced Model
3
160009.1407
53336.3802
Full Model after
Reduced Model
1
5104.689560
5104.689560
Within the 5 Groups
54
168449.3900
3119.4331
Total
58
333563.2203
The calculated Fstatistic for comparing model (1) and model (2) is Fcalc =
5104.689560/3119.4331 = 1.64 with a Pvalue of .2063.
This Pvalue is not small
enough to allow us to reject the hypothesis that uL = uS so we conclude that the four
means (uH, uV, uM, and uC) of the reduced model (2) will suffice and we do not need
the five means of the full model (1).
We now proceed to compare the current full model
(2) to the reduced model (3).
The ANOVA table for model (3) is given below.
ANOVA Table for Model (3).
Source of Variation
Degrees of freedom
Sum of Squares
Mean Square
Among the 3 Groups
2
147506.5317
73753.2659
Within the 3 Groups
56
186056.6886
3322.4409
Total
58
333563.2203
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View Full Document We can produce the ANOVA table for comparing model (2) and model (3) as before.
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This note was uploaded on 10/27/2009 for the course STAT 427 taught by Professor Staff during the Spring '09 term at University of Louisiana at Lafayette.
 Spring '09
 Staff
 Degrees Of Freedom

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