## The Analysis of Covariance (ANCOVA)
- Controls variation in an experiment by measuring an independent factor on each experimental subject.
- Otherwise is laid out using a traditional design with traditional arrangements of treatments
Note: the example here is of a CRD
A1 B1 C1 A2 D1 A3 D2 C2 B2 D3 C3 B3 C4 A4 B4 D4
PROC GLM; CLASS TREATS; MODEL WHATEVER = COV TREATS / SOLUTION ; LSMEANS TREATS; RUN; Note: the SAS LSMEANS statement produces means adjusted for the covariate. These are the treatment means as if each treatment was applied to average subjects
- Randomized Complete Block (RCB): variation is controlled by randomly assigning each treatment once to each block
- Two-way Factorial arrangement on a CRD: the treatments are combinations of two sets of treatments.
- Regression--comparing trends from different treatments: a set of treatments from a quantitative range are crossed on treatments from a qualitative set.
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