1 / 15

Univariate Statistics PSYC*6060

Univariate Statistics PSYC*6060. Class 11 Peter Hausdorf University of Guelph. Agenda. Final Exam Details Howell Chapter 16 Group exercise Thesis Examples Cohen Article. Final Exam. 3 hours Questions 10 multiple choice 10 short answer 3 multiple answer 50/50:conceptual/practical.

linh
Download Presentation

Univariate Statistics PSYC*6060

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. Univariate Statistics PSYC*6060 Class 11 Peter Hausdorf University of Guelph

  2. Agenda • Final Exam Details • Howell Chapter 16 • Group exercise • Thesis Examples • Cohen Article

  3. Final Exam • 3 hours • Questions • 10 multiple choice • 10 short answer • 3 multiple answer • 50/50:conceptual/practical

  4. Howell Chapter 16 • Design matrices • Integrating ANOVA and regression • ANOVA with unequal Ns • One way ANCOVA • Factorial ANCOVA • Alternative experimental designs

  5. m A1 A2 A3 1 2 3 4 5 6 1 1 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 X = Design matrices Allows us to look at ANOVA in a multiple regression framework Y ij = m + tj + e ij y = Xb + e Y 11= m + t1 + e 11 Y21 = m + t1 + e 21 Y12 = m + t2 + e12 Y22 = m + t2 + e22 Y13 = m + t3 + e13 Y23 = m + t3 + e23

  6. ANOVA – Unequal ns Non-Drinking Drinking Row Means Michigan 13 15 14 16 12 18 20 22 19 21 23 17 18 22 20 X11 = 14 X12 = 20 X1. = 18 Arizona 13 15 18 14 10 24 25 17 16 18 12 16 17 51 10 14 X21 = 14 X22 = 20 X2. = 15.9 Column X .1 = 14 X.2 = 20 Means

  7. ANOVA – Unequal ns • Method I – each effect is adjusted for all other effects • Method II – defines interaction first and then main effects • Method III – assigns SS based on order in which you select the variables

  8. Linear Regression Blood sugar Sum of squares - regression Sum of squares - error Skin fold (cm)

  9. One Way ANCOVA Positive Thinking Weeks in Therapy Psychotherapy Depression Score

  10. Assumptions for ANCOVA • Linear relationship between Y and covariate • Homogeneity of regression

  11. Calculations • Calculating SS Treat(adj) • Run regression with covariate only • Run regression with treatments only • SS Treat(adj) = SS regt,c – SS regc • Calculating Adjusted means • Use regression equation and mean value of covariate and dummy codes for treatments

  12. Adjusted Means • Use regression equation with mean value of covariate

  13. Factorial ANCOVA • IV - 3X3 design with 1 covariate • Task • Pattern recognition • Cognitive • Driving Simulation • Smoking • Active • Delayed • Non • Distraction • DV - Number of errors

  14. Factorial ANCOVA Pattern Recognition NS: Errors 9 8 12 10 …….. Distract 107 133 123 94 ……. …… Driving Simulation AS: Errors 3 2 0 0 …… Distract 130 83 91 92 …… • C T1 T2 G1 G2 TG11 TG12 TG21 TG22 CTG11 CTG12 CTG21 CTG22 • 1 0 1 0 1 0 0 0 107 0 0 0 9 • 130 -1 -1 -1 -1 1 1 1 1 130 130 130 130 3

  15. Alternative Experimental Designs • Matched Samples • Difference Scores

More Related