2 An experiment was conducted using a randomized block desig

2) An experiment was conducted using a randomized block design. The data from the experiment are displayed in the following table. TREATM ENT BLOCK1 2 3 1 492 2 3 12 2 3 6 8 3 Fill in the missing entries for an A NOVA table.

Solution

Total

4

9

2

15

3

12

2

17

6

8

3

17

Total

13

29

7

49

n1=n2=n3=3

GT=Grand total 49

correction factor = CF=49*49/9=266.78

SQUARES OF THE VALUES

Total

16

81

4

101

9

144

4

157

36

64

9

109

GT=

367

SSTotal = 367-CF=367-266.78 =100.22

SStreatments = ( 13²+29²+7²)/3 -266.78 =86.22

SS blocks =   = ( 15²+17²+17²)/3 -266.78 =0.887

SS error = 100.22-86.22-0.887 = 13.113

DF for total =9-1=8

DF for treatment =3-1 = 2

DF for blocks =3-1 = 2

DF for error = 8-2-2=4

MS treat = 86.22/2=43.11

MS blocks = 0.887/2 =0.444

MS error = 13.113/4=3.278

F for treatment =43.11/3.278 =13.15

				Total
	4	9	2	15
	3	12	2	17
	6	8	3	17
Total	13	29	7	49