Stat 567:Statistical Reliability
Midterm Exam 2 (November 3, 1997)

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Useful Information about the midterm exam

• The exam covers all material:
  • In Chapters Three of your textbook
  • Covered in class up to October 27
    
• The exam is:
  • Closed book
  • Closed notes
    
• You should bring to class a calculator
  
• You should bring to class the four pages of personal notes you prepared for the first midterm exam
  
• You should bring to class up to four new pages of personal notes. These notes should contain information that includes but is not limited to the following:
  • Formulas used in conjunction with maximum likelihood estimation
    • Information matrix
    • Variance-covariance matrix
  • Formulas for the MLEs and standard errors in the exponential model
    • Hazard rate
    • Mean time to failure
  • Delta Method formulas
    • Univariate
    • Bivariate
    • Trivariate
  • Particular functions of the parameters used in conjunction with the Delta Method to calculate standard errors of quantiles and survival probabilities for each of the following models
    • Exponential
    • Weibull
    • Gumbel
    • Lognormal
  • Formulas for Likelihood Ratio test and confidence regions
    • How to determine the degrees of freedom
    • How to interpret the distance between maximized log-likelihoods in nested models
  • Formulas for tests and confidence regions based on the variance-covariance matrix
    • Comparison to likelihood ratio methods
  • Formulas used to draw PP and SP plots
    • Exponential
    • Weibull
    • Gumbel
    • Lognormal
      
• 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.

Take a look at some of my old exams

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