Latin Square Designs

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# Latin Square Designs - PowerPoint PPT Presentation

Latin Square Designs. KNNL – Sections 28.3-28.7. Description. Experiment with r treatments, and 2 blocking factors: rows ( r levels) and columns ( r levels) Advantages: Reduces more experimental error than with 1 blocking factor

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### Latin Square Designs

KNNL – Sections 28.3-28.7

Description
• Experiment with r treatments, and 2 blocking factors: rows (r levels) and columns (r levels)
• Reduces more experimental error than with 1 blocking factor
• Small-scale studies can isolate important treatment effects
• Repeated Measures designs can remove order effects
• Each blocking factor must have r levels
• Assumes no interactions among factors
• With small r, very few Error degrees of freedom; many with big r
• Randomization more complex than Completely Randomized Design and Randomized Block Design (but not too complex)
Randomization in Latin Square
• Determine r , the number of treatments, row blocks, and column blocks
• Select a Standard Latin Square (Table B.14, p. 1344)
• Use Capital Letters to represent treatments (A,B,C,…) and randomly assign treatments to labels
• Randomly assign Row Block levels to Square Rows
• Randomly assign Column Block levels to Square Columns
• 4x4 Latin Squares (all treatments appear in each row/col):