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Navigable Slide Index

1. Introduction
2. Outline
3. Introduction (1)
4. Introduction (2)
5. Introduction (3)
6. Nonparametric ANOVA
7. The hypothesis of interest
8. The hypothesis of no average treatment effect
9. The hypothesis of no simple treatment effect
10. Testing the hypotheses
11. Nonparametric ACNOVA modeling
12. Possible hypotheses (1)
13. Possible hypotheses (2)
14. Possible hypotheses (3)
15. Testing hypothesis of no average treatment effect
16. Testing in the nonparametric ACNOVA model
17. Describing the test statistic
18. The hypothesis corresponds to contrast matrix C
19. Results of simulation study
20. Data sets: the Penn state YWH study (1)
21. Data sets: the Penn state YWH study (2)
22. YWHS: data analysis
23. Data sets: etiology of crime study (1)
24. Data sets: etiology of crime study (2)
25. Etiology of crime: data analysis (1)
26. Etiology of crime: data analysis (2)
27. Etiology of crime :plot of effects (1)
28. Etiology of crime: plot of effects (2)
29. Standardized relative treatment effects
30. References

Topics Covered

• Common parametric and semiparametric approaches for adjusting for covariates, including analysis of variance (ANOVA) and analysis of covariance (ANCOVA)
• The assumptions underlying their validity
• The nonparametric version of the ANOVA model which formulates hypotheses in terms of the cumulative distribution functions as a useful, assumption-free, alternative
• Statistics for testing such hypotheses are extensions of the rank-sum statistic to the ANOVA setting and are implemented with the FANOVA and PROC MIXED procedures in SAS
• An extension of the nonparametric ANOVA methodology to continuous covariates (ANCOVA)
• Simulation results
• Analysis of data examples: the Penn State Young Women's Health Study (YWHS) and the Etiology of Crime Study

Links

Series:

• Design and Analysis of Randomized Clinical Trials

Categories:

• Methods
• Pharmaceutical Sciences

Talk Citation

Publication History

• Published on October 1, 2007
• Reviewed on September 26, 2017

Financial Disclosures

• Prof. Michael Akritas has not informed HSTalks of any commercial/financial relationship that it is appropriate to disclose.