Word Count : 790

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To carry out ANOVA (Analysis of Variance) for a Randomized Block Design (RBD), we need to analyze the total variation in the data and partition it into: * Variation due to treatments (FYM levels), * Variation due to blocks (replications), * Error (residual) variation. --- ### Step 1: Notation and Data Let’s denote: * t = 6 (number of treatments, i.e., FYM levels) * r = 4 (number of replications) * Total number of observations (n) = 24 Let’s denote the observations as $Y_{ij}$, where: * $i = 1 \text{ to } t = 6$ (treatments), * $j = 1 \text{ to } r = 4$ (replications) --- ### Step 2: Data Summary Let’s compute row totals (T\_i) and column totals (R\_j). | FYM Level | R1 | R2 | R3 | R4 | Row Total (Tᵢ) | Row Mean | | ------------------ | ----- | ----- | ----- | ----- | ------------------------ | ------------ | | 1 | 6.90 | 4.60 | 4.40 | 4.81 | 20.71 | 5.1775 | | 2 | 6.48 | 5.57 | 4.28 | 4.45 | 20.78 | 5.195 | | 3 | 6.52 | 7.60 | 5.30 | 4.45 | _______ ___ ________ ___ ____ _______ _____ _________ ___ _____ _________ ______.
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