Geoscience Reference
In-Depth Information
Source of Variation
Degrees of Freedom
Major plots
7
Dates
5
Remainder
35
Subplots (= Total)
47
In this analysis, the remainder is made up of two components. One of these is the burning-date
interaction, with five degrees of freedom. The rest, with 30 degrees of freedom, is called the
subplot
error
. Thus, the complete breakdown of the split-plot design is as follows:
Degrees of
Freedom
Source of Variation
Blocks
3
Burning
1
Major plot error
3
Total major plot
7
Date
5
Total date
5
Burning
X
date
5
Subplot error
30
Total remainder
35
Total
47
The various sums of squares are obtained in an analogous manner. We first compute the following:
8
∑
( )
of subplotsper majorplot
2
Majorplottotals
Majorplot
S
df
=
−
CT
No.
7
(
)
−=
2
2
8070
++
…
6230
=
CT
647 498
,
6
4
∑
(
2
Blocktotals
No.ofsubplot
)
ssper block
Block
S
df
=
−
CT
3
(
)
−=
2
2
13 920
,
++
…
14 100
,
=
CT
68
56
12
2
∑
( )
No.ofsubplotsper burning treatment
2
Burningtreatment totals
Burning
S
df
=
−
CT
1
(
)
−=
2
2
29 970
,
25 760
24
+
,
=
CT
369 252
,
Majorploterror
SS
=
ajor plot
SS
−
Blo
ck
SS
−
Burning
SS
=
271 390
,
3
df
7
df
3
df
1
df
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