Question: The given ANOVA table only has three values provided, but these can be used to find the missing values. Source of Variation Sum of Squares

The given ANOVA table only has three values provided, but these can be used to find the missing values.

Source of Variation Sum of Squares Degrees of Freedom Mean Square F p - value
Treatments 600 ____________ ____________ ____________ ____________
Blocks 800 ____________ ____________
Error ____________ ____________ ____________
Total 1,700 ____________

Use = 0.05 to test for any significant differences.

The ANOVA table for a randomized block design has the following form. Note that all the values within this table will be positive.

Source of Variation Sum of Squares Degrees of Freedom Mean Square F p - value
Treatments SSTR k - 1 MSTR = SSTR / k - 1 F = MSTR / MSE
Blocks SSBL b - 1 MSBL = SSBL / b - 1
Error SSE (k - 1)(b - 1) MSE = SSE / (k - 1)(b - 1)
Total SST nT 1

The values in the column for the degrees of freedom are based on the number of k population means, or treatments, the number of b blocks, and the total number of observations, nT = kb. The total degrees of freedom is the sum of the degrees of freedom for the treatments, blocks, and error.

In this design, there were four treatments with seven blocks. Therefore, k = ____________, b = ____________, and nT=kb = ____________. Complete the column for the degrees of freedom in the ANOVA table.

Source of Variation Sum of Squares Degrees of Freedom Mean Square F p - value
Treatments 600 k - 1 = ____________
Blocks 800 b - 1 = ____________
Error 300 (k - 1)(b - 1) = ____________
Total 1,700 nT 1 = ____________

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