**Models for ANOVA**

There
are three types of models used in the analysis of variance,thus are.

**1.Fixed-effects models or Model 1**

The
fixed-effects model of analysis of variance applies to situations in which the
experimenter applies one or more treatments to the subjects of the experiment
to see if the response variable values change. This allows the experimenter to estimate the
ranges of response variable values that the treatment would generate in the
population as a whole.

**2.Random-effects models or Model 2**

Random
effects models are used when the treatments are not fixed. This occurs when the
various factor levels are sampled from a larger population. Because the levels
themselves are random variables, some assumptions and the method of contrasting the
treatments differ from ANOVA model 1.

**3.Mixed-effects models or Model 3**

A
mixed-effects model contains experimental factors of both fixed and
random-effects types, with appropriately different interpretations and analysis
for the two types.

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