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Management of rice production systems to increase productivity

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Rainfall data<br />

The model for analyzing the individual variables is as follows:<br />

Where:<br />

Yijkl = μ + Yri + Fertj + Vark + (Yr*Fert)ij + (Yr*Var)ik + (Fert*Var)jk +<br />

+ (Yr*Fert*Var)ijk + εijkl<br />

(i= 1,2,3; j = 1,2,3,4; k =1,2,3,4; l = 1,2,3,… ...,48)<br />

Yijkl – the response from l th plot in the j th block in the<br />

i th year using the k th treatment variety<br />

μ – overall mean<br />

Yri – effect <strong>of</strong> the i th year ‐ iid N(0, σ 2 Yr)<br />

Fertj – effect <strong>of</strong> j th fertilizer level ‐ iid N(0, σ 2 Fert)<br />

Vark – effect <strong>of</strong> k th variety treatment ‐ ∑Trt=0<br />

εijkl – experimental error ‐ iid N(0, σ 2 ε)<br />

All <strong>of</strong> the above are pairwise independent<br />

Significant differences among treatments were determined using a<br />

three‐fac<strong>to</strong>r analysis <strong>of</strong> variance (ANOVA) model. Comparison <strong>of</strong> treatment<br />

means was done using the least significant difference (LSD) test. Data points<br />

for all the measured variables were independent, normally distributed, with<br />

equal variance. No transformation <strong>of</strong> data was necessary. All results reported<br />

43

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