Stat 567: Statistical Reliability
Class Information
Fall 96

Class calendar and Class index: For each class period find:

• Class Objectives
• Homework Assignments
• Class Outline and Main Points
• Study Questions
• Instructions on using JMP
• JMP files to download for class examples and homework

Homework log: Assignments and when they are due.

Midterm and Final exam information

Past exams

Data files to download :

• Instructions for downloading JMP Mac format files
• JMP Mac format data files
  • Appliance multiple failure data: Nelson (1982)
  • Ball Bearing data: Lieblein and Zelen (1956)
  • Aircraft component data: Mann and Fertig (1973)
  • Cord strength data: Crowder, Kimber, Smith, and Sweeting (1991)
  • Rat study data: Lee (1980)
  • Failure stresses of single carbon fibers: Watson and Smith (1995)
  • Failure stresses of cabon fiber bundles: Watson and Smith (1995)
  • Failure stresses of Tungsten Carbide Alloy: Green (1984)
  • Failure stresses of Kevlar 49 Fibers: Gerstle and Kunz (1983)
  • Insulating fluid accelerated life test
• References

Classes with instructions on using JMP for:

• Product-Limit estimator of the survivor function: Survival platform
• QQ plots: Weibull, lognornal, and exponential: Survival platform
• Obtaining parameter estimates for a Weibull model: Survival platform
• Competing risks: Survival platform
• Maximum likelihood estimation of the parameters of the exponential, Weibull, Gumbel, and lognormal : Survival platform
• Probability (PP) and Stabilized Probability (SP) Plots: Calculator and Fit Y by X platform
• Maximizing the likelihood functions: Nonlinear Fit platform
• Verifying that the likelihood function has been maximized by JMP's Nonlinear Fit platform using contour and spinning plots
• Simple linear regression using JMP's Nonlinear Fit platform
• Weibull Regression with a single covariate: JMP's Survival platform
• Proportional hazards model with a single covariate: JMP's Survival platform

JMP Webouts

• Simple Weibull Regression Model
• Accelerate Life Model: Plots at the different values of the stress of the survivor functions versus log time should be horizontally shifted copies of each other
• Accelerate Life Model: Plots of log quantiles at each load versus the log of the average of the quantiles should be parallel lines with slope one
• Proportion Hazards Model: Plots of the log integrated hazards versus time at the different stresses should be vertically shifted copies of each other, and the horizontal scale can be transformed with a monotone transformation, e.g., log t, for a tidier plot
• Proportion Odds Model: Plots at the different stresses of the log (distribution/survival) versus time should be vertically shifted copies of each other, and the horizontal scale can be transformed with a monotone transformation, e.g., log t, for a tidier plot.
• Residuals in the Weibull Regression case
• Accelerated Life Test Analysis
• Variance-Covariance matrix in lognormal regression

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