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This lab exercise focuses on the design and implementation of a Latin square for experimental purposes. Participants will create a random order of treatment levels (e.g., BACD for a four-level independent variable) and sequentially number the levels based on this order. The first order in the Latin square will be established by placing the last level in the third position. The process will be demonstrated using series of treatments and random allocation, ensuring proper control in experiments testing various treatments.
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Lab K An exercise in experimental design and implementation
To make a Latin square… • Create a random order of the levels, (e.g. BACD for a four-level IV) • Sequentially number the levels in this random order starting with 1. (e.g. B=1, A=2, C=3 and D=4) • To create the first order in the Latin square, put the last number/level in the 3rd position, (e.g. 1, 2, 4, 3). If we had more than four levels, N say, then every subsequent unevenly numbered position (e.g. 5, 7, and so on) would have one less than the previous unevenly numbered position as shown in the following table.
Labeling of the treatment levels in the random order 1 = C 2 = D 3 = B 4 = A Latin Square of labels Latin square of treatments