Question

In: Statistics and Probability

If you want to conduct 2*2 latin Square Design (LSD) what problem you will have to...

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?

Solutions

Expert Solution

The Latin square design is used to eliminate two nuisance sources of variability; that is, it systematically allows blocking in two directions.

Analysis

  • Set up a two-way table and compute the row and column means and deviations
  • Compute a table of treatment means and deviationsSet up an ANOVA table divided into sources of variation

RowsColumnsTreatmentsErrorSignificance tests

  • FT tests difference among treatment means
  • FR and FC test if row and column groupings are effective

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.


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