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. Multiple regression with matrix approach, with EXCEL and R
6. Model selection: criteria derived from R² and log-likelihood
7. General linear models: aiming to do everything (including t-test, ANOVA, ANCOVA) by regression: I EXCEL file
8. Model selection: likelihood ratio test
9. Statistical distributions and significance tests
10. Bayesian inference with MCMC: Lecture slides and EXCEL+R
11. Confidence interval, credible interval and high density interval: slides
12. Model II and other types of regression and Resampling techniques (bootstrapping and jackknifing) for assessing variation of parameters: slides
13. Bayesian regression
14. Data transformation, EXCEL file for illustrating Box-Cox power translation
15. Nonlinear regression with least-square and maximum likelihood methods: Slides and EXCEL file
16. Categorical data analysis: PPT slides and EXCEL file
17. Generalized linear models: PPT and EXCEL
18. multivariate statistics: PPT, EXCEL for manual calculation, and EXCEL with PCA, correspondence analysis, etc.

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