Question

# An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of...

An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table (to 2 decimals, if necessary and p-value to 4 decimals). If your answer is zero enter "0".

 Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 900 Blocks 400 Error Total 1,700

Solution:-

Number of Block(r) = 8

Number of treatment (k) = 4

The complete ANOVA table be:

 Source of Variance Sum of Squares Degrees of Freedom Mean Square F P Value Treatment 900 k-1 = 4-3 = 3 900/3 =300 MST/MSE = 300/14.29=20.99 0.0000* [For df1=3, df2=21] Blocks 400 r-1 = 8-1 = 7 400/7 = 57.14 MSB/MSE =57.14/14.29= 4.00 Error 1,700-(900+400) = 1700-1300 = 400 (r-1)*(k-1) =(4-1)*(8-1) = 3*7 = 21 400/21 = 19.05 Total 1,700 3+ 7 +21 = 31

*The P- Value for test of treatment for (3,21) degrees of freedom is P-value = P(F>Fr) = 0.0000 is equivalent to 0.

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