An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table.

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An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table.
 
 
 
The given ANOVA table only has three values provided, but these can be used to find the missing values.
Source
of Variation
Sum
Degrees
of Freedom
Mean
of Squares
F
Square
p-value
Treatments
600
Blocks
400
Error
Total
1,300
The ANOVA table for a randomized block design has the following form. Note that all the values within this
table will be positive.
Source
of
Sum
Degrees
of Freedom
Mean
P-
value
of
Square
Variation
Squares
SSTR
MSTR
Treatments
SSTR
k - 1
MSTR =
F =
k - 1
MSE
SSBL
Blocks
SSBL
b - 1
MSBL =
ь — 1
SE
MSE =
(k - 1)(b – 1)
Error
SSE
(k - 1)(b - 1)
Total
ST
n-- 1
The total sum of squares is the sum of the sum of squares for the treatments, blocks, and error. Therefore,
the missing value for SSE can be calculated as SSE = ST - SSTR - SBL. The given values in the table are
SST =
SSE = SST - SSTR – SSBL
1, and SSBL =
. Thus, we have the following.
SSTR =
Place this value in the ANOVA table.
Source
Sum
Degrees
of Freedom Square
Mean
F p-value
of Variation
of Squares
Treatments
600
Blocks
400
Error
Total
1,300
Transcribed Image Text:The given ANOVA table only has three values provided, but these can be used to find the missing values. Source of Variation Sum Degrees of Freedom Mean of Squares F Square p-value Treatments 600 Blocks 400 Error Total 1,300 The ANOVA table for a randomized block design has the following form. Note that all the values within this table will be positive. Source of Sum Degrees of Freedom Mean P- value of Square Variation Squares SSTR MSTR Treatments SSTR k - 1 MSTR = F = k - 1 MSE SSBL Blocks SSBL b - 1 MSBL = ь — 1 SE MSE = (k - 1)(b – 1) Error SSE (k - 1)(b - 1) Total ST n-- 1 The total sum of squares is the sum of the sum of squares for the treatments, blocks, and error. Therefore, the missing value for SSE can be calculated as SSE = ST - SSTR - SBL. The given values in the table are SST = SSE = SST - SSTR – SSBL 1, and SSBL = . Thus, we have the following. SSTR = Place this value in the ANOVA table. Source Sum Degrees of Freedom Square Mean F p-value of Variation of Squares Treatments 600 Blocks 400 Error Total 1,300
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