Statistics 4870/6870: Homework

Homework 5:

  • Stat 4860
    • Read the ISVEE Workshop presentation: Isvee3-Logistic-Regr1.ppt
    • Run the two O-ring WinBUGS scripts.  See the Handouts page.  Interpret the results.  Which model fits the data better?
    • Read the Stats Magazine paper: Elementary Uses of the Gibbs Sample: Medical Screening Tests Gibbs.pdf  Run the S code.  Interpret the results.
    • Read the 2005 JSM paper: Classroom Simulation: Understanding One-Way Random-Effects ANOVA JSM05Anova22.pdf  Run the WinBUGS code.  Interpret the results.
    • Run the WinBUGS code for the One-Way Random-Effects ANOVA.  Interpret the results.
  • Stat 6860
    • Read the ISVEE Workshop presentation: Isvee3-Logistic-Regr1.ppt
    • Run the two O-ring WinBUGS scripts.  See the Handouts page.  Interpret the results.  Which model fits the data better?
    • Read the Stats Magazine paper: Elementary Uses of the Gibbs Sample: Medical Screening Tests Gibbs.pdf Run the S code.  Interpret the results.
    • Read the 2005 JSM paper: Classroom Simulation: Understanding One-Way Random-Effects ANOVA JSM05Anova22.pdf
    • Run the WinBUGS code for the One-Way Random-Effects ANOVA.  Interpret the results.

Homework 4:

  • Stat 4860:
    • Read  the paper A Primer on Hierarchical Models. Hierarchical.pdf
    • Read the paper on Gibbs Sampling. Gibbs.pdf
    • Read Ch. 9, do Exercises 9.2, 9.3
    • Read Ch. 11, do Exercises 11.3
    • Read Ch. 12, do Exercise 12.1, 12.5
    • Read Ch. 13, do Exercise 13.2, 13.4
    • Run the WinBUGS programs for simple linear regression.  RegressionBugs.odc RegressionDoodle.odc
  • Stat 6860:

Homework 3:

  • Stat 4860:
    • Read Ch. 8, do Exercises 8.1, 8.3, 8.5 and do Computer Exercises 8.1, 8.2, 8.3 a,b,c,e and use R qbeta( ) function.
    • Read Ch. 10, do Exercise 10.5 and do Computer Exercise 10.5, 10.6, 10.7
  • Stat 6860:
    • Continue to Read Ch. 2, do Exercises 2 (use the NormalNormal.odc WinBUGS program to produce a Bayesian Estimate and 95% Posterior Credible Interval for the parameter of interest), 9, 10 (use the NormalNormal2.odc WinBUGS program to produce a Bayesian Estimate and 95% Posterior Credible Interval for the parameter of interest)
    • Continue to Read Ch. 3, do Exercises 7, 8
    • Complete the following exercise to show the complete the square formula.  completethesquare.pdf

Homework 2:

  • Read Suess and Trumbo, Ch.8, Introduction to Bayesian Estimation, do problem 3.  Ch8Ex2.r (Note this is the program from a previous numbering of this chapter and its exercises.)
  • Stat. 4860:
    • Read Ch. 5, do Exercises 5.2, 5.4, 5.5
    • Install the R package Bolstad.  See appendix D for the instructions.  And see page 321 for instructions for Ch. 6
    • Read Ch. 6, do Exercises 6.1, 6.2, 6.3 and do Computer Exercises 6.1, 6.2
    • Read Ch. 7, do Exercises 7.1, 7.3, 7.5, 7.7
  • Stat. 6860
    • Read Ch. 2, pages 31-47, do Exercises 1, 2, 3
    • Read Ch. 3, pages 73-81, do Exercises 2, 3, 4

Homework 1: 

  • Read the paper A Primer on the Bayesian Approach to Statistical Inference by Stephenson and Stern, see Bayesian.pdf
  • Stat. 4870:
    • Read over Chapters 1- 3
    • Read Ch. 4, do Exercises 4.8, 4.9, 4.10
    • Answer the following question: What is the difference between deductive logic and inductive logic?  See link: Deduction & Induction
    • Complete the following exercises.  simplebayes.pdf
    • Use the R-program bayes.r to check your answers to the exercises in simplebayes.pdf
  • Stat. 6870:
    • Read Ch. 1, do Exercises 3, 4, 6, 18
    • Answer the following question: What is the difference between deductive logic and inductive logic?  See link: Deduction & Induction
    • Complete the following exercises.  simplebayes.pdf
    • Use the R-program bayes.r to check your answers to the exercises in simplebayes.pdf