Stat 567:Statistical Reliability
Midterm Exam (September 29, 1997)

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Useful Information about the midterm exam

• The exam covers all material:
  • In Chapters Two of your textbook
  • Covered in class up to September 22
    
• The exam is:
  • Closed book
  • Closed notes
    
• You should bring to class a calculator
  
• You should bring to class up to four pages of personal notes.
  Your notes should contain information that includes but is not limited to the following:
  • Formulas for the distribution, failure rate, and density of each of the following models
    • Exponential
    • Weibull
    • Gumbel
    • Lognormal
    • Generalized Gamma
      • Relationship to the models above
  • Interpretation of the parameters of the models above, e.g.,
    • What in one interpretation of the Weibull scale parameter?
    • What information about the hazard rates in contained in the Weibull shape parameter?
    • Relationships among the parameters of the Weibull for the data and Gumbel for the log data.
  • Origins of other models such as the Gamma model
  • Formulas for method of moments estimators
  • Formulas used in conjunction with the empirical survivor function and the Product-Limit estimator
    • Survivor function estimator
    • Plotting points
    • Standard errors and confidence limits for the survivor function
    • Standard errors and confidence limits for the integrated hazard
  • Formulas used to draw QQ plots and to obtain graphical estimates of model parameters
    • Exponential
    • Weibull
    • Gumbel
    • Lognormal
  • Interpretations of the slope of the empirical integrated hazard (exponential QQ) plot
  • Competing risks
    • Model
    • Assumptions
    • Interpretations
    • Practical significance
      
• Other recommendations
  • Know how to interpret all JMP output that you have seen in class
  • Know how to interpret all graphs and tables in the book
  • Review the study questions at the end of the class summaries provided in this course homepage
  • Be prepared to discuss the relative merits of the different procedures discussed in class.

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