Concept explainers
Explain each term: (a) explained variation; (b) unexplained variation; (c) factor; (d) treatment.
a.
Explain the term explained variation.
Explanation of Solution
ANOVA is a technique that compares several means. There are three assumptions under which the ANOVA is performed.
Explained variation:
ANOVA deals with dependent and independent variables. The variations in the response are either explained variation or unexplained variation. Explained variations are those variations which are explained by factors.
b.
Explain the term unexplained variation.
Explanation of Solution
Unexplained variation:
ANOVA deals with dependent and independent variables. The variations in the response are either explained variation or unexplained variation. Unexplained variations are those variations which are random. One cannot explain this variation using factors.
c.
Explain the term factor.
Explanation of Solution
Factor:
The factor is the variable which will affect the responses variable. The independent variable in the ANOVA is also termed as factors.
d.
Explain the term Treatment.
Explanation of Solution
Treatment:
The independent variable in the ANOVA is1 termed as factors. The values taken by factors are called treatments. Therefore, the values taken by factors or combination of factors are called treatments.
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