statistics.bgwoodruff.com : ANOVA Hub

Analysis of Variance
ANOVA: What does it do and how does it do it?


Analysis of Variance ( aka "AOV" or "ANOVA") is an inferential statistical procedure.

ANOVA is used to determine whether or not the independent variable in an experiment was effective.


What you should know before continuing.


The data set

Two or more columns of numbers (observations). Each column contains the data that was collected under one level of the independent variable.


There are several strands of knowledge that must be braided to understand the rationale of ANOVA.

1. How will the data be different when the independent variable is effective than when it is NOT effective?

How statistical theory models an experiment:

2. How is this difference (how the data differ when the IV is or is not effective) used to create the test statistic, F ?

3. What is the sampling distribution of F if the Ho is true.

4. How is the test statistic, F, calculated from a data set.

5. How does the sampling distribution of F differ when Ho is true and when it is false.

6. Examples using ANOVA


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