description | example
One-Way ANOVA Steps
SSwithin = SStotal
dfamong = r-1
dfwithin = N-r
|x = individual observation
r = number of groups
N = total number of observations (all groups)
n = number of observations in group
Steps (assuming three groups)
Create six columns: "x1",
- Put the raw data, according to group, in "x1",
"x2", and "x3"
- Calculate the sum for group 1.
- Calculate (Sx)2 for group 1.
- Calculate the mean for group 1
- Calculate Sx2 for group 1.
- Repeat steps 2-5 for groups 2 and 3
- Set up SStotal and SSamong formulas and calculate
- Calculate SSwithin
- Enter sums of squares into the ANOVA table, and complete the table
by calculating: dfamong, dfwithin, MSamong,
and MSwithin, and F
- Check to see if F is statistically significant on probability table
with appropriate degrees of freedom and p < .05.
- An example of the application of this
- Practice by creating your own data and then check your work with the
Virtual Statistician One-Way ANOVA Calculator
(Only works with n = 8)
- A description of the One-Way Analysis
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