description | example
| calculator (will open in another
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", "x12",
"x3", and "x32"
- 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,
- 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 formula
- Practice by creating your own data and then check your work with the Virtual
Statistician One-Way ANOVA Calculator
(will open in another window) (Only works with n = 8)
- A description of the One-Way Analysis of