Problem-
A consumer product agency wants to evaluate the accuracy of determining the level of calcium in a food supplement. There are a large number of possible testing laboratories but only three assay methods of interest. The agency randomly selects three laboratories for use in the study. Each laboratory will use all three assays in the study. Eighteen samples containing 10 mg of calcium are prepared and each assay-laboratory combination is randomly assigned to two samples. The determinations of calcium content are given below.
|
Laboratory
|
|
Assay
|
1
|
2
|
3
|
|
1
|
10.9
10.9
|
10.5
9.8
|
9.7
10.0
|
|
2
|
11.3
11.7
|
9.4
10.2
|
8.8
9.2
|
|
3
|
11.8
11.2
|
10.0
10.7
|
10.4
10.7
|
Additional information-
This problem related to Basic Statistics and it discusses about two ways balancing using ANOVA for a randomized block design.