Alternative Split-plot Models

As can be seen from Figure 2 of Split-plot Tools, the Split-plot data analysis tool supports two other RCBD models (RCB 1 and RCB 2) and a CRD model.

The RCB 1 model is the same as the RCB model, except that Whole plot × Subplot is used as the error term for the Subplot factor, and so the formula in cell W8 is =V8/V9 (instead of =V8/V10).

The analysis for the RCB 2 model of Example 1 of Split-plot Tools is shown in Figure 1.

Split-plot RCB2

Figure 1 – RCB 2 Split-plot Model

In this model, the Block × Split term is separated out from the Split-plot Error term. Cell W8 contains the formula =V8/V9 and W10 contains the formula =V10/V11. This is the model used in Montgomery (2001).

The final model is the Complete Randomized Design (CRD) Split-plot model as described in Split-plot Design. For Example 1 of Split-plot Tools, the analysis is as shown in Figure 2.

Split-plot CRD

Figure 2 – CRD Split-plot Model

Cell W5 contains the formula =V5/V6, cell W6 contains the formula =V6/V9, cell W7 contains the formula =V7/V9 and cell W8 contains the formula =V8/V9.

2 thoughts on “Alternative Split-plot Models”

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