## Two way Factorial arrangement on a RCB
- Treatments are combinations of two factors, such as chemical compositions and methods of applying chemicals. This is an arrangement of treatments within a RCB design.
- Treatments are assigned at random within blocks of adjacent subjects, each treatment once per block.
- The number of blocks is the number of replications.
- Any treatment can be adjacent to any other treatment, but not to the same treatment within the block.
Block IV Aa Ba Ab Bb Block III Bb Aa Ba Ab Block II Ba Bb Ab Aa Block I Ab Aa Ba Bb
PROC GLM; CLASS BLOCKS FIRST SECOND; MODEL WHATEVER = BLOCKS FIRST SECOND FIRST*SECOND; RUN;
- Randomized Complete Block (RCB): Treatments are from a single set.
- Two-way Factorial arrangement on a CRD: treatments are assigned completely at random to subjects.
- Three-way Factorial arrangement on a RCB: treatments are combinations of three sets of factors.
- Split Plot on a RCB: one set of treatments is assigned at random to experimental units; a second set is assigned to at random to sub-units.
- Split-block design: one set of treatments is randomized in one directios; a second set is randomized in a second direction.
- Regression--comparing trends from different treatments: a set of treatments from a quantitative range are crossed on treatments from a qualitative set.
- RCB repeated at more than one location one set of treatments is examined at several different locations.
- RCB repeated in time: one set of treatments is examined at different times.
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