In an agricultural experiment using barley, the effects of various commercial fertilizers and planting densities on yield were studied. Six different commercial fertilizers were used and the barley was planted in three different densities. The plots used were quite uniform with respect to soil characteristics
In an agricultural experiment using barley, the effects of various commercial fertilizers and planting densities on yield were studied. Six different commercial fertilizers were used and the barley was planted in three different densities. The plots used were quite uniform with respect to soil characteristics, drainage, etc. The yields in kilograms per plot are recorded in the following table. Analyze these data completely as a Factorial Design Two-Way ANOVA. Discuss the results in terms of interactions and main effects. What combination of fertilizer and planting density would you recommend to barley growers? Why? (You do not need to calculate by hand, use SAS program)
|
Plant density |
|
|
Commercial fertilizer |
|
|
|
|
A |
I |
II |
III |
VI |
V |
VI |
|
|
27 |
26 |
31 |
30 |
25 |
30 |
|
|
29 |
25 |
30 |
27 |
25 |
32 |
|
|
26 |
24 |
30 |
33 |
26 |
28 |
|
|
26 |
29 |
33 |
30 |
24 |
30 |
|
|
|
|
|
|
|
|
|
B |
30 |
28 |
31 |
32 |
28 |
31 |
|
|
30 |
29 |
31 |
35 |
29 |
30 |
|
|
28 |
30 |
30 |
29 |
28 |
32 |
|
|
32 |
25 |
32 |
32 |
27 |
31 |
|
|
|
|
|
|
|
|
|
C |
33 |
33 |
35 |
34 |
30 |
32 |
|
|
33 |
30 |
33 |
34 |
29 |
30 |
|
|
34 |
34 |
37 |
33 |
31 |
30 |
|
|
32 |
35 |
35 |
35 |
30 |
34 |
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