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