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Quality and Reliability Methods - SAS

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Chapter 13 Lifetime Distribution 221<br />

Additional Examples of the Life Distribution Platform<br />

Table 13.1 Comparison Criteria (Continued)<br />

Criterion Formula a Description<br />

AICc<br />

n<br />

AICc = -2loglikelihood + 2k-------------------<br />

<br />

n<br />

– k – 1<br />

Corrected Akaike’s Information<br />

Criterion<br />

AICc = AIC<br />

+ ---------------------- 2k( k+<br />

1)<br />

n – k – 1<br />

a. k =The number of estimated parameters in the model; n = The number of observations in the data set.<br />

For all three criteria, models with smaller values are better. The comparison criterion that you select should<br />

be based on knowledge of the data as well as personal preference. Burnham <strong>and</strong> Anderson (2004) <strong>and</strong><br />

Akaike (1974) discuss using AICc <strong>and</strong> BIC for model selection.<br />

Additional Examples of the Life Distribution Platform<br />

This section includes examples of omitting competing causes <strong>and</strong> changing the distribution scale.<br />

Omit Competing Causes<br />

This example illustrates how to decide on the best fit for competing causes.<br />

1. Open the Blenders.jmp sample data table.<br />

2. Select Analyze > <strong>Reliability</strong> <strong>and</strong> Survival > Life Distribution.<br />

3. Select Time Cycles <strong>and</strong> click Y, Time to Event.<br />

4. Select Causes <strong>and</strong> click Failure Cause.<br />

5. Select Censor <strong>and</strong> click Censor.<br />

6. Select Individual Best as the Distribution.<br />

7. Make sure that AICc is the Comparison Criterion.<br />

8. Click OK.<br />

On the Competing Cause report, JMP shows the best distribution fit for each failure cause.

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