Agriculture Reference
In-Depth Information
X
1
n
y
ij
y
med
Sustainability index SI
ð
9
Þ¼
y
i
j
where
y
i
th treatment over the entire time period,
y
med
is the median value of the
is the average of
i
i
th treatment over the time period
;
"
#
n
c
2
X
j
X
y
0
ij
y
ij
1
Sustainability index SI
ð
10
Þ¼
y
i
max
j
0
j
0
;
j
<
where
n
is the number of time periods,
y
ij
and
y
0
ij
are the value of the
i
th treatment in
j
th and
j
0
th year
;
respectively,
y
i
max
is the maximum value of the
i
th treatment over the time period
:
In all the last five measures, the lower the
value of the sustainability index, the higher the
sustainability.
nutrient treatments conducted over 17 years.
Using the measures of sustainability, find out
the most sustainable treatment in terms of yield.
Also find out whether or not the most sustainable
treatment is the best treatment.
Example 11.6.
The following table gives the
yield of wheat (q/ha) in response to five different
Obs.
T1
T2
T3
T4
T5
1
65.00
63.10
68.50
72.10
82.60
2
66.20
65.80
67.60
75.60
83.60
3
65.95
67.60
71.20
74.30
84.90
4
64.00
68.10
68.90
75.50
84.10
5
64.60
72.10
69.00
74.80
83.60
6
63.50
69.93
69.70
78.20
87.53
7
61.20
65.10
67.50
76.30
87.80
8
60.20
60.70
69.50
73.70
86.90
9
60.10
59.30
68.80
72.20
89.50
10
63.00
62.70
70.50
74.10
87.20
11
63.00
61.90
71.20
73.90
88.30
12
65.10
66.30
74.60
77.80
85.20
13
66.20
69.20
75.40
79.30
85.30
14
67.40
71.80
76.20
80.60
86.40
15
66.20
73.40
85.40
82.30
83.70
16
65.90
72.60
75.90
81.30
87.10
17
68.37
69.59
73.37
78.92
85.45
Solution. First, the average, the maximum, the
median, and the standard deviation from the
given data set for each treatment are worked out
separately. Using the method of regression
discussed earlier in Chap.
8
of this topic, the
regression coefficients for measures 2, 3, 4, and
5 are worked out. The regression coefficients
according to measures 2, 3, 4, and 5 are
b
i
; c
i
; b
0
i
;
c
0
i
, respectively.
and
