Lecture & Examples
Topic 2: Completely Randomized Design
The completely randomized design is the simplest form of
experimental designs. In a completely randomized design,
each treatment is applied to each experimental unit
completely by chance. Although the completely
randomized design is very simple, it has many
advantages:
(1) It is very flexible. Any number of treatments and any
number of experimental units can be used.
(2) The statistical analysis is easy even if the number of
experimental units in different treatments is different.
(3) The statistical analysis remains simple in the presence
of missing values. We can actually prove that the relative
loss of information due to missing data is smaller than any
other experimental designs. Completely randomized
design is extremely attractive in the case when
experimental units are homogeneous. For example, it is
the method of choice for many laboratory experiments,
e.g., in physics, chemistry, or cookery, where a quantity
of material, after through mixing, is divided into small
samples or batches to which the treatments are applied.
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Steps for Conducting an Analysis of Variance
(ANOVA) for a Completely Randomized Design:
Step 1:
To make sure the data come from a completely
randomized design. This means that each treatment is
assigned to an experimental unit completely by chance.
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 Spring '08
 Staff
 Statistics

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