Noncentral F Probability Calculator - Quick Tab

Power Analysis

The Quick tab of the Noncentral F Probability Calculator contains options to compute the cumulative probability and percentage points of the noncentral F distribution. Additionally, you can calculate a noncentrality parameter that corresponds to a particular value at a particular percentage point.

1 - Cumulative p. Select the 1 - Cumulative p box to show calculations in terms of 1 - Cumulative p, i.e., the probability of obtaining a value greater than the observed F. This can be useful when using the probability calculator to obtain upper rejection points for a hypothesis test, or in computing power.

Parameters. The options in the Parameters group box represent five quantities related to the noncentral F distribution. Three of these quantities (Observed F, Delta, Cum. p) can each be calculated as a function of the remaining four quantities, depending on the currently selected alternative in the Compute group box (see below). For example, if p is selected in the Compute group box, then clicking the Compute button will cause the program to compute Cum. p for the current values of Observed F, Numerator df, Denom. df, and Delta.

Observed F. Enter the value of the F-statistic in the Observed F field if F is one of the input variables in the calculation. If the result of the calculation is an F value, it appears in this field.

Numerator df. Enter the numerator degrees of freedom of the F-statistic in the Numerator df field.

Denom. df. Enter the denominator degrees of freedom of the F-statistic in the Denom. df field.  

Delta. Enter the value of the noncentrality parameter (delta) in the Delta field if δ is one of the input variables in the calculation. If the result of the calculation is a Delta value, it appears in this field after the Compute button is clicked.

Cum. p. Enter the value of p in the Cum. p field if p is one of the input variables in the calculation. If the p option button is selected in the Compute group box, then the cumulative probability function (cdf) is evaluated at the Observed F, Numerator df, Denominator df, and Delta currently displayed. Cum. p can also be used as the input variable for a calculation.  If the 1 - Cumulative p box is checked, then the label on this field switches to 1 - Cum. p, and calculations are altered accordingly.

Compute. Use the option buttons in the Compute group box to specify which quantity is to be the result of the calculation. When the Compute button is clicked, this quantity is computed as a function of the other four quantities in the Parameters group box, and the result is displayed in the appropriate field.

F. Select the F option button to compute a value of F as a function of Delta, Numerator df, Denominator df, and Cum. p. (or 1 - Cum. p.)

p (or 1 - p). Select the p (or 1 - p) option button to compute a value of Cum. p (or 1 - Cum p) as a function of F, Numerator df, Denominator df, and Delta.

Delta. Select the Delta option button to compute a value of delta as a function of F, Numerator df, Denominator df, and Cum. p (or 1 - Cum. p).