The One-Way Analysis of Variance (ANOVA) calculator computes the ANOVA F score and degrees of freedom for a number of groups.
INSTRUCTIONS: Enter the following in comma separated lists:
ANOVA F-Score: The calculator returns the F-score and degrees of freedom for the null hypothesis. Note: there has to be an equal number of observations in the three groups. The calculator also returns the following support statistics:
A school administrator want to know if the time / day of taking tests significantly affect test scores. Let's consider four groups of students taking pop quizzes. Group 1 only gets tested on Mondays first period. Group 2 only gets tested Wednesday after lunch. Group 3 only gets tested in the last period on Fridays, and Group 4 on random days and times. The quiz has 12 questions with a range of potential scores from 0 to 12.
|Group 1||Group2||Group3||Group 4|
The above data would be entered into this calculator as follows:
How many degrees of freedom(DF) do you see?
What is the F-Score?
Based on that, compare it to the chosen alpha level (see below) and determine if you accept or reject the hypothesis.
In ANALYSIS of VARIANCE (ANOVA), the formula for the sample variance is:
`s^2 = (sum y^2 - (sumy)^2/n)/(n-1)`
DF Among = a - 1
DF Within = a(n-1)
Total DF = an-1