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Modeling and Multivariate Methods - SAS

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Chapter 3 Fitting St<strong>and</strong>ard Least Squares Models 77<br />

Estimates<br />

7. Replace the Delta values with 3,6, <strong>and</strong> 1 as shown in Figure 3.17.<br />

8. Replace the Number values with 20, 60, <strong>and</strong> 10 as shown in Figure 3.17.<br />

9. Select Solve for Power <strong>and</strong> Solve for Least Significant Number.<br />

10. Click Done.<br />

For details about the power results shown in Figure 3.17, see “Text Reports for Power Analysis” on<br />

page 78. For details about the Power Details options, see “Power Details Window” on page 77.<br />

Power Details Window<br />

In the Alpha, Sigma, Delta, <strong>and</strong> Number columns, you can enter a single value, two values, or the start,<br />

stop, <strong>and</strong> increment for a sequence of values. Power calculations are done on all possible combinations of<br />

the values that you specify.<br />

Table 3.9 Description of the Power Details Window<br />

Alpha (α)<br />

Sigma (σ)<br />

Delta (δ)<br />

Number (n)<br />

Solve for Power<br />

Solve for Least<br />

Significant Number<br />

Solve for Least<br />

Significant Value<br />

Represents the significance level between 0 <strong>and</strong> 1, usually 0.05, 0.01, or<br />

0.10. Initially, Alpha automatically has a value of 0.05. Click in one of the<br />

three boxes to enter one, two, or a sequence of values.<br />

Represents the st<strong>and</strong>ard error of the residual error in the model. Initially,<br />

RMSE (the square root of the mean square error) is in the first box. Click in<br />

one of the three boxes to enter one, two, or a sequence of values.<br />

Represents the raw effect size. See “Effect Size” on page 78, for details.<br />

Initially, the square root of the sum of squares for the hypothesis divided by<br />

n is in the first box. Click in one of the three boxes to enter or edit one, two,<br />

or a sequence of values.<br />

Represents the sample size. Initially, the actual sample size is in the first box.<br />

Click in one of the three boxes to enter or edit one, two, or a sequence of<br />

values.<br />

Solves for the power (the probability of a significant result) as a function of<br />

α, σ, δ, <strong>and</strong> n.<br />

Solves for the number of observations expected to achieve significance alpha<br />

given α, σ, <strong>and</strong> δ.<br />

Solves for the value of the parameter or linear test that produces a p-value of<br />

alpha. This is a function of α, σ, <strong>and</strong> n.This option is available only for<br />

one-degree-of-freedom tests <strong>and</strong> is used for individual parameters.

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