In: Statistics and Probability
If you want to conduct 2*2 latin Square Design (LSD) what problem you will have to face to analysis the data? How will you overcome this problem?
The Latin square design is used to eliminate two nuisance sources of variability; that is, it systematically allows blocking in two directions.
Analysis
RowsColumnsTreatmentsErrorSignificance tests
1. The analysis of data in a LSD is conditional in the sense it depends on which Latin square is used for allocating the treatments. If the Latin square changes, the conclusions may also change.
Solution - We note that Latin squares play an important role is a LSD, so first we study more about these Latin squares before describing the analysis of variance.
2. one missing experimental data of any order
Solution - (the general regression significant test) for the K × K LSD with one replicate and one missing experimental data, where K is the order of the LSD.