description | example
| calculator
Create six columns:
"x_{1}",
"x_{1}^{2}", "x_{2}",
"x_{2}^{2}", "x_{3}",
and "x_{3}^{2}" - Put the raw data, according to group, in
*"*x_{1}*", "*x_{2}*",*and*"*x_{3}*"* - Calculate the sum for group 1.
- Calculate (Sx)
^{2}for group 1. - Calculate the mean for group 1
- Calculate Sx
^{2}for group 1. - Repeat steps 2-5 for groups 2 and 3
- Set up SS
_{total}and SS_{among}formulas and calculate - Calculate SS
_{within} - Enter sums of squares into the ANOVA table, and complete the table
by calculating: df
_{among}, df_{within}, MS_{among}, and MS_{within}, 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 formula
- 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 of Variance
was created by Richard
Hall in 1998 and is covered by a creative commons (by-nc) copyright Psychology World |