In: Statistics and Probability
An experiment on rice variety IRS at six seeding rates was conducted in an RCBD with four replications. The results of the experiment are shown below:
Treatment, Kg
Grain Yield, Kg/ha
Seed/ha
R1
R2
R3
R4
25
5113
5398
5307
4678
50
5346
5952
4719
4264
75
5272
5713
5483
4749
100
5164
4831
4986
4410
125
4804
4848
4432
4748
150
5254
4542
4919
4098
Construct an ANOVA table for the Experiment.
Interpret the results of the ANOVA.
Estimate the Coefficient of Variation and state the importance of
it.
Write the model of the experiment.
25 | 50 | 75 | 100 | 125 | 150 | |
R1 | 5113 | 5346 | 5272 | 5164 | 4804 | 5254 |
R2 | 5398 | 5952 | 5713 | 4831 | 4848 | 4542 |
R3 | 5307 | 4719 | 5483 | 4986 | 4432 | 4919 |
R4 | 4678 | 4264 | 4749 | 4410 | 4748 | 4098 |
SD | Mean | Coefficient of variation | ||||
192.3168 | 5158.833333 | 3.7279134 | ||||
558.5213 | 5214 | 10.7119536 | ||||
382.6035 | 4974.333333 | 7.69155405 | ||||
275.7248 | 4491.166667 | 6.13926899 | ||||
ANOVA | ||||||
Source | SS | df | MS | F | ||
Sample | 19,44,361.00 | 3.00 | 6,48,120.28 | 65,535.00 | ||
Columns | 11,98,331.00 | 5.00 | 2,39,666.17 | 65,535.00 | ||
Interaction | 16,58,376.00 | 15.00 | 1,10,558.41 | 65,535.00 | ||
Within | - | - | 65,535.00 | |||
Total | 48,01,068.00 | 23.00 | 10,63,879.86 | 1,96,605.00 |