Buys-Ballot Estimates for Overall Sample Variances and Their Statistical Properties: A Mixed Model

This item proposes an belief procedure of overall sample variances for the assorted model while comparing bureaucracy with those of the supplement and multiplicative models. The estimation process is based on the row, line and overall means and variances of time order data organized in a Buys-Ballot table. The procedure acquires that (1) the underlying allocation of the variable, X i j , i = 1, 2, ..., m , j = 1, 2, ..., s , substitute is normal. (2) the likely curve is either linear or four-sided and (3) the decomposition plan is either multiplicative or mixed. Statistical possessions of the overall sample variances of the Buys-Ballot table are also deliberate in this study. Result signifies that, under the stated presumption, the expected value of the overall sample variances include sum of square and cross-produce of trend parameters and migratory indices.

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