Skip to main content
Social Sci LibreTexts

9.6: Effect Size (Exercises)

  • Page ID
    19084
  • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)

    General Questions

    Q1

    If the probability of a disease is \(0.34\) without treatment and \(0.22\) with treatment then what is the

    1. Absolute risk reduction
    2. Relative risk reduction
    3. Odds ratio
    4. Number needed to treat

    Q2

    When is it meaningful to compute the proportional difference between means?

    Q3

    The mean for an experimental group is \(12\), the mean for the control group were \(8\), the \(MSE\) from the ANOVA is \(16\), and \(N\), the number of observations is \(20\), compute \(g\) and \(d\).

    Q4

    Two experiments investigated the same variables but one of the experiment had subject who differed greatly from each other where as the subjects in the other experiment were relatively homogeneous. Which experiment would likely have the larger value of \(g\)?

    Q5

    Why is \(ω^2\) preferable to \(η^2\)?

    Q6

    What is the difference between \(η^2\) and partial \(η^2\)?

    Questions from Case Studies

    The following questions are from the Teacher Ratings case study.

    Q7

    What are the values of \(d\) and \(g\)?

    Q8

    What are the values of \(ω^2\) and \(η^2\)?

    The following question is from the Smiles and Leniency case study.

    Q9

    What are the values of \(ω^2\) and \(η^2\)?

    The following question is from the Obesity and Bias case study.

    Q10

    For compute \(ω^2\) and partial \(ω^2\)for the effect of "Weight" in a "Weight x Relatedness" ANOVA.


    This page titled 9.6: Effect Size (Exercises) is shared under a Public Domain license and was authored, remixed, and/or curated by David Lane.

    • Was this article helpful?