The RELIABILITY Procedure
- Overview
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Getting Started
Analysis of Right-Censored Data from a Single PopulationWeibull Analysis Comparing Groups of DataAnalysis of Accelerated Life Test DataWeibull Analysis of Interval Data with Common Inspection ScheduleLognormal Analysis with Arbitrary CensoringRegression ModelingRegression Model with Nonconstant ScaleRegression Model with Two Independent VariablesWeibull Probability Plot for Two Combined Failure ModesAnalysis of Recurrence Data on RepairsComparison of Two Samples of Repair DataAnalysis of Interval Age Recurrence DataAnalysis of Binomial DataThree-Parameter WeibullParametric Model for Recurrent Events DataParametric Model for Interval Recurrent Events Data -
SyntaxPrimary StatementsSecondary StatementsGraphical Enhancement StatementsPROC RELIABILITY StatementANALYZE StatementBY StatementCLASS StatementDISTRIBUTION StatementEFFECTPLOT StatementESTIMATE StatementFMODE StatementFREQ StatementINSET StatementLOGSCALE StatementLSMEANS StatementLSMESTIMATE StatementMAKE StatementMCFPLOT StatementMODEL StatementNENTER StatementNLOPTIONS StatementPROBPLOT StatementRELATIONPLOT StatementSLICE StatementSTORE StatementTEST StatementUNITID Statement
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DetailsAbbreviations and NotationTypes of Lifetime DataProbability DistributionsProbability PlottingNonparametric Confidence Intervals for Cumulative Failure ProbabilitiesParameter Estimation and Confidence IntervalsRegression Model Statistics Computed for Each Observation for Lifetime DataRegression Model Statistics Computed for Each Observation for Recurrent Events DataRecurrence Data from Repairable SystemsODS Table NamesODS Graphics
- References
DISTRIBUTION Statement
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DISTRIBUTION probability distribution-name;
The ANALYZE , PROBPLOT , RELATIONPLOT , and MODEL statements require you to specify the probability distribution that describes your data. You can specify a probability distribution for lifetime data by using the DISTRIBUTION statement anywhere after the PROC RELIABILITY statement and before the RUN statement. If you do not specify a distribution in a DISTRIBUTION statement, the normal distribution is assumed. In addition, you can specify a parametric non-homogeneous Poisson process model for recurrent events data in a DISTRIBUTION statement. The probability distribution for lifetime data or the model for recurrent events data specified determines the distribution for which parameters are estimated from your data. The valid distributions and the statements to which they apply are shown in Table 17.6 and Table 17.7.
Table 17.6: Probability Distributions for Lifetime Data
|
Distribution |
Distribution-Name Specified |
Statement |
|---|---|---|
|
Binomial |
BINOMIAL |
ANALYZE |
|
Exponential |
EXPONENTIAL |
ANALYZE, PROBPLOT, |
|
RELATIONPLOT, MODEL |
||
|
Extreme value |
EXTREME | EV |
ANALYZE, PROBPLOT, |
|
RELATIONPLOT, MODEL |
||
|
Generalized gamma |
GAMMA |
MODEL |
|
Gompertz |
GOMPERTZ | G2 |
ANALYZE, PROBPLOT |
|
Three-parameter Gompertz |
GOMPERTZ3 | G3 |
ANALYZE, PROBPLOT |
|
Logistic |
LOGISTIC | LOGIT |
ANALYZE, PROBPLOT, |
|
RELATIONPLOT, MODEL |
||
|
Log-logistic |
LLOGISTIC | LLOGIT |
ANALYZE, PROBPLOT, |
|
RELATIONPLOT, MODEL |
||
|
Lognormal (base e) |
LOGNORMAL | LNORM |
ANALYZE, PROBPLOT, |
|
RELATIONPLOT, MODEL |
||
|
Lognormal (base 10) |
LOGNORMAL10 | LNORM10 |
ANALYZE, PROBPLOT, |
|
RELATIONPLOT, MODEL |
||
|
Normal |
NORMAL |
ANALYZE, PROBPLOT, |
|
RELATIONPLOT, MODEL |
||
|
Poisson |
POISSON |
ANALYZE |
|
Weibull |
WEIBULL | W2 |
ANALYZE, PROBPLOT, |
|
RELATIONPLOT, MODEL |
||
|
Three-parameter Weibull |
WEIBULL3 | W3 |
ANALYZE, PROBPLOT |
Table 17.7: Poisson Process Models for Recurrence Data
|
NHPP Model |
Distribution-Name Specified |
Statement |
|---|---|---|
|
Homogeneous |
HPP |
MODEL |
|
Crow-AMSAA |
NHPP(CA) | NHPP(CROWAMSAA) |
MODEL |
|
Log-linear |
NHPP(LOG) | NHPP(LOGLINEAR) |
MODEL |
|
Power |
NHPP(POW) | NHPP(POWER) |
MODEL |
|
Proportional intensity |
NHPP(PROP) | NHPP(PROPORTIONAL) |
MODEL |