Statistics Review - Mathematics and Statistics for the Environment - page 146

Columns

1 2 3 4 5

1 C 13 A 21 B 16 E 16 D 14

2 A 18 B 15 D 17 C 17 E 15

3 D 17 C 15 E 15 A 15 B 18

E 18 D 18 C 16 B 14 A 16

4

B 17 E 16 A 25 D 19 C 14

5

Row ∑ Column ∑ Treatment ∑ X

1 80 1 83 A 95 19

2 82 2 85 B 80 16

3 80 3 89 C 75 15

4 82 4 81 D 85 16

Total 415 415 415 16.6

The partitioning of degrees of freedom, the calculation of sums of squares, and the subsequent
analysis follow much the same pattern illustrated previously for randomized blocks.

2

25

X
n

2

415
25

172 225
25

,

CT = = = = 6889 0 .

25

∑

2

Total SS = XCT − = 7041 − CT = 152 0 .

24 df

5

∑ (

2

Rowtotals
No.ofplots perr

)
ow

34 529
5

,

Row S df = −= −= CT CT 16 8 .

4

5

∑ (

2

Column totals
No.ofplots

)
percolumn

34 525
5

,

Column S df = −= −= CT CT 16 0 .

4

5

∑ (

2

Species totals
No.ofplo

)
ts perspecies

34 675
5

,

Species S df = −= −= CT CT 46 0 .

4

Error SS = Total SS − Row SS − olumn SS − Species SS = 73 2 .

12 df 24 df 4 df 4 df 4 df