Critical Mean Difference
Given the comparison of multiple groups, the Critical Mean Difference (CMD) is the minimum difference between any two of these group means that are significant at the given level of alpha. Four methods are available: Tukey, Bonferroni, Scheffe or unprotected t-tests.
- k is the number of Groups or Tests
- MSE is the Mean Square Error term
- n1 is the first group sample size
- n2 is the second group sample size
- Q is the Studentized Range Statistic
- File provides the ability Save or Print the output, or return to the Main Form.
- Edit allows Editing Output Text by cutting, copying, pasting, and undoing entry.
- View provides the ability to enlarge/reduce the Form size for easier viewing.
- Help provides access to this Website.
These buttons provide quick access to the following tasks.
- Returns to last Form or the Main Form.
- Saves the output to a file.
- Prints the Text.
- Copies Selection to the clipboard.
- Pastes Text from the clipboard
- Enlarges/Reduces Form size for easier viewing.
- Brings up the Main Form.
- Brings up the Help file.
- Hides the form.
Performs calculations and displays output.
The calculation output is displayed here when is clicked. You may save, print, edit, cut, copy, and paste text in this area.
Decimal Place Change
Changes the number of decimal places, from 0 to 9. Change may be made by selecting and typing in the number, or by using the incrementing buttons.
Enter the level of Alpha here.
Enter the number of Groups in the comparison (or Tests for Bonferroni) here.
Enter the Mean-Square Error term here.
Enter the Degrees of Freedom for the Mean-Square Error Term here.
Enter the first sample size for one of the groups in the comparison here.
Enter the second sample size for one of the groups in the comparison here.
Select Tukey, Bonferroni, Scheffe or t-test Critical Mean Differences to be calculated.