1 / 24

Matrix Approach to 1-Way ANOVA

This study compares the sexual side effects of four antidepressants (Bupropion, Fluoxetine, Paroxetine, and Sertraline) using a matrix approach to 1-way ANOVA. The results show the estimated functions of the parameter vector and uniqueness of estimates for the brands of antidepressants.

tlheureux
Download Presentation

Matrix Approach to 1-Way ANOVA

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Matrix Approach to 1-Way ANOVA Comparison of Sexual Side Effects in 4 Antidepressants JG Modell, et al (1997). "Comparative Sexual Side Effects of Bupropion, Fluoxetine, Paroxetine, and Sertraline ", Clinical Pharmacology and Therapeutics, Vol.61(4),pp476-487.

  2. Model

  3. Matrix Approach with no constraints (t=3)

  4. Applying Constraint 1 – Part 1

  5. Applying Constraint 1 – Part 2

  6. Applying Constraint 1 – Part 3

  7. Applying Constraint 1 – Part 4

  8. Applying Constraint 2 – Part 1

  9. Applying Constraint 2 – Part 2

  10. Applying Constraint 2 – Part 3

  11. Applying Constraint 2 – Part 4

  12. Applying Constraint 3 – Part 1

  13. Applying Constraint 3 – Part 2

  14. Applying Constraint 3 – Part 3

  15. Applying Constraint 4

  16. S U M M A R Y

  17. Estimable Functions • A linear function of the parameter vector b, h’b is said to be estimable if h’=t’X. That is, if h’ can be written as a linear function of the rows of X

  18. Uniqueness of Estimates of Estimable Functions

  19. Application: Comparison of t=4 Antidepressants • Response: Y = Change in libido scores for patients on antidepressants • Treatments: t=4 Brands of antidepressants • Prozac (r1 = 37) • Paxil (r2 = 21) • Zoloft (r3 = 27) • Wellbutrin (r4 = 22) • N=107, t=4, Prozac, Paxil, Zoloft are SSRI’s, Wellbutrin not • Will make generalizations of case t=3

  20. Data and Analysis of Variance H0 : Brand Means are all equal Conclude brand means are not all equal Note: s2 = MSE = 0.96

  21. Parameter Estimates – Constraint 1

  22. Parameter Estimates – Constraint 2

  23. Parameter Estimates – Constraint 3

  24. Parameter Estimates – Constraint 4

More Related