Biostatistics and Microbiology: A Survival Manual by Daryl S. Paulson

Author:Daryl S. Paulson [Paulson, Daryl S.]
Language: eng
Format: azw3
Publisher: Springer New York
Published: 2008-11-23T05:00:00+00:00

Treatments

n

1

2

3

Replicates

1

7

3

8

2

12

13

4

3

9

1

11

4

14

2

15

5

10

5

6

N=15

In the randomized block design, randomization occurs only over the three treatments within in each block (Table 4.13).

Table 4.13Randomized block design

Treatments

1

2

3

Block 1

1

3

2

Block 2

2

1

3

Block 3

2

3

1

Block 4

3

1

2

Block 5

3

2

1

The randomized block design is usually the more powerful design, for it isolates differences in blocks (hospitals) to get a more accurate computation of the treatment effect (surgical preparation product). So, the randomized block model requires the computation of the sum of squares for the blocks, or SS B .

The sum of squares for treatment effect is , and the mean square treatment ,where b = number of blocks and a = number of treatments. The sum of squares for blocks is , and the mean square blocks . The sum of squares total is . The mean square total is not computed. The sum of squares error is , and the mean square error . The complete model for the randomized block design is:

=

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