Multiple R²: Power Calculation Parameters - Quick Tab
Select the Quick tab of the Multiple R²: Power Calculation Parameters dialog box to access options to enter baseline parameters for power calculations for the squared multiple correlation coefficient.
- Fixed Parameters
- The entries in the boxes under Fixed Parameters establish the fixed, or baseline, parameters for subsequent power calculations and graphs. Parameters that are not varied explicitly as the independent (X-axis) variables in a graphical analysis will be set equal to these values. Throughout what follows, we use R² to stand for the sample squared multiple correlation, and P² to stand for its population equivalent.
- P²
- In the P² box, enter the population squared multiple correlation.
- C² (Null P²)
- In the C² (Null P²) box, enter a constant between zero and one. This constant is the null hypothesized value of P². Using the Multiple R²: Probability Calculator and the Multiple R²: Interval Estimation dialog boxes that are included in this module, you can perform a variety of procedures on the multiple R² that are not available in standard statistics packages. Not only can you compare the multiple R² to a value of zero, but you can also perform a variety of other hypothesis tests to compare it to some value other than zero.
- Ind. Vars. (k).
- (k). In the Ind. Vars. (k) box, enter the number of independent variables in the multiple regression prediction equation.
- N
- In the N box, enter N, the sample size.
- Alpha
- In the Alpha box, enter the type I error rate for the overall significance test.
- Type of Hypothesis
- The choice of option buttons under Type of Hypothesis determines the type of null hypothesis tested.
- 2-tailed (P2 = C2)
- Select the 2-tailed (P2 = C2) option button to test null and alternative hypotheses of the form
H0: P2 = C2 H1: P2 ¹ C2
- 1-tailed (P2 <= C2)
- Select the 1-tailed (P2 <= C2) option button to test null and alternative hypotheses of the form
H0: P2 ≤; C2 H1: P2 > C2
- 1-tailed (P2 >= C2)
- Select the 1-tailed (P2 >= C2) option button to test null and alternative hypotheses of the form
H0: P2 ³ C2 H1: P2 < C2
- 1-tailed (P2 = 0)
- Select the 1-tailed (P2 = 0) option button to test null and alternative hypotheses of the form
H0: P2 = 0 H1: P2 > 0
(This is the hypothesis tested by the standard F-statistic for zero multiple correlation.)
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