1 / 7

Binomial Effect Size Display

Binomial Effect Size Display. What is it? How do I prepare it?. What is It?. An interesting way to look at a magnitude of effect estimate. A 2 x 2 contingency table Total N = 200 For each row N = 100 For each column N = 100 Treat the cell entries as conditional percentages.

Download Presentation

Binomial Effect Size Display

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. Binomial Effect Size Display What is it? How do I prepare it?

  2. What is It? • An interesting way to look at a magnitude of effect estimate. • A 2 x 2 contingency table • Total N = 200 • For each row N = 100 • For each column N = 100 • Treat the cell entries as conditional percentages

  3. Calculating the Cell Entries • Obtain the r for the effect of interest. • On one diagonal the cell entries are 100(.5 + r/2) • On one diagonal the cell entries are 100(.5 - r/2)

  4. Physicians’ Aspirin Study • φ2 = .0011 • r = φ = .034 • 100(.5 + r/2) = 100(.5 + .017) = 51.7 • 100(.5 – r/2) = 100(.5 - .017) = 48.3

  5. Interpretation • The treatment explains 0.11% of the variance in heart attacks. • This is equivalent to a treatment that reduces the rate of heart attacks from 51.7% to 48.3%. • Odds ratios can be revealing too. Here the odds ratio is (189/10,845)/(104/10,933) = 1.83. • The odds of a heart attack were 1.83 time higher in the placebo group than in the aspirin group.

  6. Predicting College Grades From SAT (Verbal and Quantitative) • Multiple R = 0.41 • 100(.5 + r/2) = 100(.5 + .205) = 70.5 • 100(.5 – r/2) = 100(.5 - .205) = 29.5

  7. Effect from ANOVA • η2 = .06 (medium-sized effect) • 100(.5 + r/2) = 100(.5 + .12) = 62 • 100(.5 – r/2) = 100(.5 - .12) = 38

More Related