Analysis of
Variance
Analysis of variance is the procedure used when we want to investigate situations where
there are more than two levels of the independent variable. Stated another way,
when there are more than two groups, and we would like to compare their
performance across a dependent variable use ANOVA. Using ANOVA, we determine if
the groups differ on some continuous variable of interest. An example of a
situation where ANOVA would be used is a teacher who wants to find out if three
different reading texts (Holt, Ginn, Lippincott) produces different reading
levels in children. Another example requiring the ANOVA technique would be,
"Are the survival rates different for five different groups of AIDS
patients when the five groups are defined by different dosage levels of a new
experimental drug?"
Objectives of Analysis of Variance
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It identifies the causes of
variation and sort out corresponding components of variation with associated
degrees of freedom.
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It provides far test of significance
based on
distribution.

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