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Quality and Reliability Methods - SAS

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Chapter 19 <strong>Reliability</strong> <strong>and</strong> Survival Analysis 361<br />

Univariate Survival Analysis<br />

For the exponential, Weibull, <strong>and</strong> lognormal Fits, hold down the Shift key, click the red triangle of the<br />

Product-Limit Survival Fit menu, <strong>and</strong> then click on the desired fit. The following Options window<br />

appears. (In this example, LogNormal Fit was selected.)<br />

Figure 19.13 Options Window<br />

You can set the confidence level for the limits; the constrained value for theta (in the case of an<br />

exponential fit), sigma (in the case of a lognormal fit) or beta (in the case of a Weibull fit); <strong>and</strong> request a<br />

Confidence Contour Plot for the Weibull <strong>and</strong> lognormal fits. For details on using constrained values, see<br />

“WeiBayes Analysis” on page 366. An example of a contour plot is shown in Figure 19.14.<br />

Figure 19.14 Confidence Contour Plot<br />

Fitted Distribution Plots is available in conjunction with the fitted distributions to show three plots<br />

corresponding to the fitted distributions: Survival, Density, <strong>and</strong> Hazard. No plot will appear if you<br />

haven’t done a Fit comm<strong>and</strong>. An example is shown in the next section.<br />

Competing Causes prompts for a column in the data table that contains labels for causes of failure.<br />

Then for each cause, the estimation of the Weibull model is performed using that cause to indicate a<br />

failure event <strong>and</strong> other causes to indicate censoring. The fitted distribution is shown by the dashed line<br />

in the Survival Plot.<br />

Estimate Survival Probability brings up a dialog allowing you to enter up to ten time values. The<br />

survival probabilities are estimated for the entered times.<br />

Estimate Time Quantile brings up a dialog allowing you to enter up to ten survival probabilities. A time<br />

quantile is estimated for each entered probability.

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