## Two way Factorial arrangement on a CRD
- Treatments are combinations of two factors, such as chemical compositions and methods of applying chemicals. This is an arrangement of treatments within a CRD design.
- Replications of treatments are assigned completely at random to independent experimental subjects.
- Adjacent subjects could potentially have the same combination of treatments.
Aa1 Ba1 Ab1 Aa2 Bb1 Aa3 Bb2 Ab2 Ba2 Bb3 Ab3 Ba3 Ab4 Aa4 Ba4 Bb4
PROC GLM; CLASS FIRST SECOND; MODEL WHATEVER = FIRST SECOND FIRST*SECOND; RUN;
- Complete Randomized Design (CRD): Treatments are from a single set.
- Randomized Complete Block (RCB): Treatments are from a single set assigned at random once to each spatial block.
- Two-way Factorial arrangement on a RCB: combinations of treatments are assigned at random once to each block.
- Split Plot on a CRD: one set of treatments is assigned at random to experimental units; a second set is assigned to at random to sub-units.
- Regression--comparing trends from different treatments: A set of treatments from a quantitative range are crossed on treatments from a qualitative set.
- Analysis of covariance--controlling variation with a second measureable factor: additional variation is controlled by measuring a second variable on each subject.
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