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Quality and Reliability Methods - SAS

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Chapter 19 <strong>Reliability</strong> <strong>and</strong> Survival Analysis 365<br />

Univariate Survival Analysis<br />

Table 19.2 Various Weibull parameters in terms of JMP’s alpha <strong>and</strong> beta (Continued)<br />

Kalbfleisch <strong>and</strong> Prentice lambda = 1/alpha p = beta<br />

JMP Extreme Value lambda=log(alpha) delta=1/beta<br />

Meeker <strong>and</strong> Escobar s.e.v. mu=log(alpha) sigma=1/beta<br />

Interval Censoring<br />

With interval censored data, you only know that the events occurred in some time interval. The Turnbull<br />

method is used to obtain non-parametric estimates of the survival function.<br />

In this example from Nelson (1990, p. 147), microprocessor units are tested <strong>and</strong> inspected at various times<br />

<strong>and</strong> the failed units are counted. Missing values in one of the columns indicate that you don't know the<br />

lower or upper limit, <strong>and</strong> therefore the event is left or right censored, respectively. The data may be found in<br />

the sample data files at Microprocessor Data.jmp, <strong>and</strong> are shown in Figure 19.17.<br />

Figure 19.17 Microprocessor Data<br />

When you launch the Survival platform, specify the lower <strong>and</strong> upper time limits as two Y columns, count as<br />

Freq <strong>and</strong> check Plot Failure instead of Survival, as shown in Figure 19.18.<br />

Figure 19.18 Interval Censoring Launch Dialog

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