lecture_chp10_2 - Lecture & Examples Topic 2: Completely...

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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. Step 2: Use a graphical procedure such as box-plots or dot-plots to visualize the equal variance assumption. The normality assumption is guaranteed if the data truly comes from a completely randomized design. Suppose
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This note was uploaded on 08/30/2011 for the course STA 4164 taught by Professor Staff during the Spring '08 term at University of Central Florida.

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lecture_chp10_2 - Lecture & Examples Topic 2: Completely...

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