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BIO8102L: Statitical thinking

Syllabus

Topics

  1. Introduction to statistical thinking
  2. The least-square principle in regression and beyond (and a briefing on the maximum likelihood method): EXCEL file
  3. Various types of regression approaches with LAD, and LS criteria and Model II regression EXCEL file
  4. Maximum likelihood criterion and its application
  5. Bayesian inference: maximum posterior probability criterion and its application
  6. Statistical distributions and significance tests
  7. Linear regression
  8. General linear models: aiming to do everything (including t-test, ANOVA, ANCOVA) by regression: I
  9. Model II regression
  10. General linear models: aiming to do everything by regression: II
  11. Nonlinear regression
  12. Model selection: criteria derived from R2
  13. Model selection: likelihood ratio test
  14. Model selection: Information-theoretic criteria
  15. Data transformation
  16. Categorical data analysis
  17. Spatial statistics
  18. Generalized linear models
  19. Linear models expanded to multivariate statistics.
  20. Resampling methods: bootstrapping and jackknifing

R and data files

  1. Describe.R
  2. StatsGroupData.R
  3. DarwinPlantBreeding.txt
  4. DarwinPlantBreeding.txt
  5. ChestData.txt
  6. WranglerData.txt
  7. Mercury2Gr_A.txt
  8. Mercury2Gr_B.txt
  9. Mercury3Gr_A.txt
  10. RandCompleteBlock.txt
  11. TwoWayANOVA.txt
  12. DataTransformTwoWayANOVA.txt
  13. TwoWayANOVAInteraction.txt
  14. ThreeWayANOVA.txt
  15. RepeatedMeasures.txt
  16. OrganGeneExpression.txt
  17. LakeBiomass.txt
  18. LakeIronBiomass.txt
  19. BartlettTest.txt
  20. BeetleWtLoss.txt
  21. WasteCost.txt
  22. Stepwise.txt
  23. poly1.txt
  24. ElephantWt.txt
  25. Pesticide.txt
  26. PowerTransform.txt
  27. nlinGESE.txt
  28. nlinLogistic.txt
  29. AncovaEx1Drug.txt
  30. AncovaEx2TeachingEval.txt
  31. DiffSlopeMuscle.txt
  32. PCAex1.txt
  33. Crime.txt
  34. MANOVAex1.txt
  35. MANOVAex2.txt
  36. XYZ.txt
  37. Cancor.csv
  38. Cancor.txt
  39. KidneyStoneLumped.txt
  40. KidneyStone.txt
  41. HairColor.txt
  42. Titanic.txt
  43. ThreeD.txt
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