17d-Design layouts

17d-Design layouts - EXST7015 : Statistical Techniques II...

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Geaghan Analysis of Variance - Design Supplemental Design Layouts 1 17d-Design layouts.doc Schematic layouts of some CRD experiments. 1) CRD: Treatment levels are t=5 where each treatment occurs in 3 cells (experimental units : n=3) and each cell is sampled once. CRD with experimental error. Model Y ij = µ + τ i + ε ij Source Expected Mean Squares Treatments σ 2 + n σ 2 τ Error σ 2 2) CRD: Treatment levels are t=5 where each treatment occurs in 3 cells (experimental units : n=3) and each cell is sampled twice (sampling units : d=2). CRD with both experimental error and sampling error. Model Y ijk = µ + τ i + δ ij + ε ijk Source Expected Mean Squares Treatment σ 2 + n σ 2 δ + nd σ 2 τ Experimental Error σ 2 + n σ 2 δ Sampling Error σ 2 3) CRD?: Treatment levels=5; each treatment occurs in one cell (experimental unit) and each cell is sampled three times. CRD with no experimental error, this experiment has sampling error only (Pseudo-replication). Model Y ijk = µ + τ i + ε ijk Source Expected Mean Squares Treatments σ 2 + n σ 2 δ + nd σ 2 τ Sampling Error σ 2 A A D B C B D A E E D C B E C A A A A D D
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This note was uploaded on 12/29/2011 for the course EXST 7087 taught by Professor Wang,j during the Fall '08 term at LSU.

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17d-Design layouts - EXST7015 : Statistical Techniques II...

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