Geoscience Reference
In-Depth Information
Subplot
SS
=
Total
SS
−
ajor plot
SS
= 8 692 150
,
,
40
df
47
df
7
d
f
6
(
)
−=
∑
(
2
2
2
Date totals
No.ofsubplots
)
perdate
−=
++
7490
…
3800
Date
S
df
=
CT
CT
7 500 086
,
,
8
5
To get the sum of squares for the interaction between date and burning we resort to a factorial
experiment device—the two-way table of the treatment combination totals:
Date
Burning
Subtotals
Burning
a
b
c
d
e
f
A
3510
4020
5620
7820
6420
2580
29,970
B
3980
4520
4810
5630
5600
1220
25,760
Date subtotals
7490
8540
10,430
13,450
12,020
3800
55,730
12
∑
2
(
Date-burning
combinationtotals
)
Date-burning subclass
S
df
=
−
CT
No.ofsubplotsper
date-burning combination
11
(
)
−=
2
2
3510
++
…
1220
=
CT
8 555 723
,
,
4
Date-burning interaction
S
df
=
ate-burning
subclass
SS
−
Date
SS
−
Burning
SS
= 686 385
,
5
11
df
5
df
1
df
Subplot error
SS
=
Subplot
SS
−
Date
SS
−
Date-burning interaction
SS
=
505 679
,
30
df
40
df
5
df
5
df
Thus the completed analysis table is
Source of Variation Degrees of Freedom Sums of Squares Mean Squares
Blocks 3 6856 —
Burning 1 369,252 369,252
Major plot error 3 271,390 90,463
-----------------------------------------------------------------------------------------------------------
Date
5
7,500,086
1,500,017
Date-burning interaction
5
686,385
137,277
Subplot error
30
505,679
16,856
Total
47
9,339,648
The
F
test for burning is
Burningmean square
Majorploterror mean square
369 252
90 463
,
,
F
=
=
=
4 082
.
(not signi
ficantat 0.05 level)
13
/
df
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