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

Homework Answers

Answer #1

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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