# Analysis of variance

Perform a one-way independent -samples ANOVA test to determine:

1- what is the value of the mean square for error (the "within groups" mean square) that would be reported in the ANOVA test

2- What is the value of the mean square for treatments (the "between groups" mean square) that would be reported in the ANOVA test

please show calculations

HOW TO CALCULATE THE SAMPLE VARIANCE OF THE SAMPLE SIZE.

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#### Solution Preview

I have taken random values and shown calculations in excel file.

This is the simplest way to calculate.

Following are the steps for calculations .

1) Calculate the correction factor. It is given by ( ∑yij )^2 / number of values

For the values in excel file correction factor is given by 388*388 / 17 = 8855.529412

2) Treatment sum of squares is given by ∑ ( Yi.)^2 / ni - Correction factor calculated in step 1

For the values in excel file ...

#### Solution Summary

The expert examines the analysis of variance for independent samples.