An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table.
An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table.

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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