Regression with Life Data

Overview | How to | Example

 


 

Overview

The Regression with Life Data is used to assess whether predictors affect failure time and ultimately develop a model that can be used to predict failure time. The model can include single factor, single covariate, interaction terms and nested terms.

You can use ProcessMA Regression with Life Data to model uncensored/right censored data with one of the seven distributions (Weibull, Exponential, Normal, Lognormal, Logistic, Loglogistic, Smallest Extreme Value).

ProcessMA uses maximum likelihood estimates to model parameters.

 


 

How to

At the Excel Menu (For Excel 2007, go to Add-ins first)

  1. Choose ProcessMA > Reliability and Survival > Regression with Life Data

  2. In Response, select the column containing the response data

  3. In Term 1 to Term 10 , select the column containing data for the respective model terms and choose if the term is a covariate or a factor (Covariate: Numeric)

  4. In Model, enter the terms to be included in the model. The Model can include factors, covariates, interactions and nested term. Multiple terms must be separated by commas. Use * to represent interactions and () to represent nesting. The model must be hierachical, if an interaction term is included, all lower order interactions and main terms must also be included.

  5. In Assumed Distribution, choose the distribution to fit

  6. In Censor, select the column containing censoring indicator (Optional, Exactly 2 distinct values - censored and uncensored)

  7. In Censor Value, choose the indicator you use to indicate censoring

  8. Check Standardized Residuals, if you want to display a probability plot for standardized residuals

  9. Check Cox-Snell Residuals, if you want to display a probability plot for Cox-Snell residuals

  10. Check Show Confidence Interval, if you want to display confidence interval in the above plots

  11. In Confidence Level, enter the desired confidence level (Numeric, >0 & <1)

  12. Click OK

  13.  

 

 

Example

You work in a manufacturing plant making widgets and you want to find out the deterioration of widgets. You want to know if you can predict failure times for widgets based on the temperature and the chamber it operates in. It is known that the relationship between temperature and failure time follows the Arrhenius relationship.

  1. Open data worksheet by choosing ProcessMA > Tools > Data

  2. Choose ProcessMA > Reliability and Survival > Regression with Life Data

  3. In Response, select CL - Times2

  4. In Term 1, select BN - Temp2 and choose Covariate

  5. In Term 2, select BO - Chamber and choose Factor

  6. In Model, enter Temp2, Chamber

  7. In Assumed Distribution, choose Weibull

  8. Under Censor Tab, in Censor, select CM - Cen2

  9. Under Censor Tab, in Censor Value, choose C

  10. Click OK

 

Results & Interpretation

From the regression table, you can obtain the coefficients for the regression model.

 


 

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