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Single-Factor Experimental
          Designs
      Brian J. Piper, Ph.D.
Goals
• Single Factor: 2 levels
  – Independent groups
  – Matched groups
  – Non-equivalent groups
  – Repeated measures (2)
• Single Factor: 3+ levels
• Control Group Designs
Really?
• “Single factor studies using only two levels are
  not as common as you might think. Most
  researchers prefer to use more complex
  designs, which produce more elaborate and
  intriguing outcomes.”
2 Independent Groups
• Independent variable (IV) manipulated
• Equivalent groups created by randomization
• Does insecurity increase materialism?
  – Participants: undergraduate students (N=60)
  – IV:
     • Control: write essay about listening to music
     • Experimental: write essay about own death




                     Kasser & Sheldon (2000) Psychological Science, 11, 348-351.
t-test
    • Student’s (Between Subjects) t-test
    t = (Mean1 – Mean2)/Variability12 if SD1 ≈SD2
    Degrees of Freedom = N - 2

William S. Gosset




                             O




 1876-1937
Assumptions of t-test
1) Data is interval or ratio
2) Data is normally distributed
3) For two-groups, homogeneity of variance
Logic
If p > .05 assumption is met
If p < .05 than assumption not met.
Overview

           t = Signal / Noise

           +∞         to - ∞
2 Independent Groups
   • Dependent Variable (DV): economic value




Mean (SD)
t (degrees of freedom) = # , p <> .05
Matched Groups Example
• Some variable is measured & then group
  assignment
• Sleep deprivation & suggestibility example
  – Sleep length recorded before assigning to
    deprivation (+ or - )
  – Long-story presented following by leading questions
    (Were assailants armed with gun or knife?)



                            Blagrove (1996) J Exp Psychol: Applied, 2, 48-59.
Matched Groups Example
• Some variable is measured & then group
  assignment
• Sleep deprivation & suggestibility example
• Results: 43, but not 21, hour deprivation
  increased suggestibility




                         Blagrove (1996) J Exp Psychol: Applied, 2, 48-59.
Non-Equivalent Groups
• He quit because his “body forgot the urge to
  smoke”
• Comparison of brain damage to insula (N=19)
  versus damage to other areas (N=50)
Comparing
             Groups
     • Smoking following brain
       damage was examined in
       patients with or without
       insula damage.




Naqvi et al. (2007). Science, 315, 531-534.
Results




Naqvi et al. (2007). Science, 315, 531-534.
Repeated Measures

• If same subjects get both treatments, there is
  a concern about order effects (fatigue,
  practice, etc.)
Repeated Measures

• If same subjects get both treatments, there is
  a concern about order effects (fatigue,
  practice, etc.)
• Solution: Counterbalance!
Mental Effects of Steroids
• Men (N=56) received:
  – steroids, placebo
  – Placebo, steroids




                 Pope et al. (2000) Archives General Psychiatry, 57, 133-140.
Repeated Measures: Example 2
   • Do toddlers use visual feedback for balance or
     only mechanical feedback?




Lee & Aronson (1974) Perception & Psychophysics, 15, 529-532.
Repeated Measures Design
   • Within-Subjects: order alternating
        – Forward – Backward – Forward – Backward
        – Backward – Forward – Backward - Forward




Lee & Aronson (1974) Perception & Psychophysics, 15, 529-532.
Repeated Measures Design
    • Within-Subjects: order alternating
         – Forward – Backward – Forward – Backward
         – Backward – Forward – Backward - Forward




Lee & Aronson (1974) Perception & Psychophysics, 15, 529-532.
Paired t-test
• Comparison of Novel Faces & Places Response
  Times (msec) for correct versus incorrect
  decisions
• Degrees of Freedom = N - 2
2-Level Design          Statistic
Independent groups      Two-sample t-test
Matched groups          Paired t-test
Non-equivalent groups   Two-sample t-test
Repeated measures (2)   Paired t-test
3+ Levels
• Provide more information than 2 levels
3+ Levels
• Provide more information than 2 levels

                                   Hermann Ebbinghaus




                                       1850-1909
Data Presentation
• Whenever possible figures
• If you must …………..tables
3+ Groups Analysis
• Analysis of Variance (ANOVA)
  – Signal / noise
  – Range: 0 to infinity, ≈3.0+ is statistically significant




                  1
ANOVA
• Step 1: Is there a difference     1915-2000
  (somewhere)?


• Degrees of freedom:
   – between groups = # groups -1
   – Error = total N – dfBG -1
• Step 2: Where is the
  difference?
   – T-test
   – Post-hoc tests (Tukey HSD)
Control Group Designs
• Placebo Group (aka negative control)
  – Alcohol flavored Jello shots
  – THC free cigarettes
• Wait List Control Group: depression example
Control Example
 • Women (N=47) were randomly assigned to:
      – Subliminal: tapes consistent with labeling
      – Placebo: tapes inconsistent with labeling
      – Wait List: received tapes at end of 6 week study




Mirikle & Skanes (1992) J Applied Psychology, 77, 772-776.
Yoked Control
• Participant groups matched based on prior trauma
  (moderate), sex, and age
• Eye Movement Desensitization & Reprocessing: imagine trauma + follow therapists
  rapidly moving finger
• Control: imagine trauma while staring at stationary object (same duration as
  experimental


                                                                   *
                                                        *




Dunn et al. (1996). J Behav Therapy Exp Psychiatry, 27, 231-239.
Yoked Control
• Part I:
   – Experimental: no barrier, light than jump
   – Yoked: barrier, gets same # of shocks
• Part II (no barrier)
   – Experimental: learned to avoid footshock
   – Yoked: learned to not avoid footshock
Summary
              t-test                    ANOVA
assumptions   Interval/ratio, normal,   Interval/ratio, normal,
              homogeneity of variance   homogeneity of variance
groups        2                         3+
statistic     t, p < .05                F, p < .05
variations    between, within           between, within

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Research Methods: Experimental Design I (Single Factor)

  • 1. Single-Factor Experimental Designs Brian J. Piper, Ph.D.
  • 2. Goals • Single Factor: 2 levels – Independent groups – Matched groups – Non-equivalent groups – Repeated measures (2) • Single Factor: 3+ levels • Control Group Designs
  • 3. Really? • “Single factor studies using only two levels are not as common as you might think. Most researchers prefer to use more complex designs, which produce more elaborate and intriguing outcomes.”
  • 4. 2 Independent Groups • Independent variable (IV) manipulated • Equivalent groups created by randomization • Does insecurity increase materialism? – Participants: undergraduate students (N=60) – IV: • Control: write essay about listening to music • Experimental: write essay about own death Kasser & Sheldon (2000) Psychological Science, 11, 348-351.
  • 5. t-test • Student’s (Between Subjects) t-test t = (Mean1 – Mean2)/Variability12 if SD1 ≈SD2 Degrees of Freedom = N - 2 William S. Gosset O 1876-1937
  • 6. Assumptions of t-test 1) Data is interval or ratio 2) Data is normally distributed 3) For two-groups, homogeneity of variance
  • 7. Logic If p > .05 assumption is met If p < .05 than assumption not met.
  • 8. Overview t = Signal / Noise +∞ to - ∞
  • 9. 2 Independent Groups • Dependent Variable (DV): economic value Mean (SD) t (degrees of freedom) = # , p <> .05
  • 10. Matched Groups Example • Some variable is measured & then group assignment • Sleep deprivation & suggestibility example – Sleep length recorded before assigning to deprivation (+ or - ) – Long-story presented following by leading questions (Were assailants armed with gun or knife?) Blagrove (1996) J Exp Psychol: Applied, 2, 48-59.
  • 11. Matched Groups Example • Some variable is measured & then group assignment • Sleep deprivation & suggestibility example • Results: 43, but not 21, hour deprivation increased suggestibility Blagrove (1996) J Exp Psychol: Applied, 2, 48-59.
  • 12. Non-Equivalent Groups • He quit because his “body forgot the urge to smoke” • Comparison of brain damage to insula (N=19) versus damage to other areas (N=50)
  • 13. Comparing Groups • Smoking following brain damage was examined in patients with or without insula damage. Naqvi et al. (2007). Science, 315, 531-534.
  • 14. Results Naqvi et al. (2007). Science, 315, 531-534.
  • 15. Repeated Measures • If same subjects get both treatments, there is a concern about order effects (fatigue, practice, etc.)
  • 16. Repeated Measures • If same subjects get both treatments, there is a concern about order effects (fatigue, practice, etc.) • Solution: Counterbalance!
  • 17. Mental Effects of Steroids • Men (N=56) received: – steroids, placebo – Placebo, steroids Pope et al. (2000) Archives General Psychiatry, 57, 133-140.
  • 18.
  • 19. Repeated Measures: Example 2 • Do toddlers use visual feedback for balance or only mechanical feedback? Lee & Aronson (1974) Perception & Psychophysics, 15, 529-532.
  • 20. Repeated Measures Design • Within-Subjects: order alternating – Forward – Backward – Forward – Backward – Backward – Forward – Backward - Forward Lee & Aronson (1974) Perception & Psychophysics, 15, 529-532.
  • 21. Repeated Measures Design • Within-Subjects: order alternating – Forward – Backward – Forward – Backward – Backward – Forward – Backward - Forward Lee & Aronson (1974) Perception & Psychophysics, 15, 529-532.
  • 22. Paired t-test • Comparison of Novel Faces & Places Response Times (msec) for correct versus incorrect decisions • Degrees of Freedom = N - 2
  • 23. 2-Level Design Statistic Independent groups Two-sample t-test Matched groups Paired t-test Non-equivalent groups Two-sample t-test Repeated measures (2) Paired t-test
  • 24. 3+ Levels • Provide more information than 2 levels
  • 25. 3+ Levels • Provide more information than 2 levels Hermann Ebbinghaus 1850-1909
  • 26. Data Presentation • Whenever possible figures • If you must …………..tables
  • 27. 3+ Groups Analysis • Analysis of Variance (ANOVA) – Signal / noise – Range: 0 to infinity, ≈3.0+ is statistically significant 1
  • 28. ANOVA • Step 1: Is there a difference 1915-2000 (somewhere)? • Degrees of freedom: – between groups = # groups -1 – Error = total N – dfBG -1 • Step 2: Where is the difference? – T-test – Post-hoc tests (Tukey HSD)
  • 29. Control Group Designs • Placebo Group (aka negative control) – Alcohol flavored Jello shots – THC free cigarettes • Wait List Control Group: depression example
  • 30. Control Example • Women (N=47) were randomly assigned to: – Subliminal: tapes consistent with labeling – Placebo: tapes inconsistent with labeling – Wait List: received tapes at end of 6 week study Mirikle & Skanes (1992) J Applied Psychology, 77, 772-776.
  • 31. Yoked Control • Participant groups matched based on prior trauma (moderate), sex, and age • Eye Movement Desensitization & Reprocessing: imagine trauma + follow therapists rapidly moving finger • Control: imagine trauma while staring at stationary object (same duration as experimental * * Dunn et al. (1996). J Behav Therapy Exp Psychiatry, 27, 231-239.
  • 32. Yoked Control • Part I: – Experimental: no barrier, light than jump – Yoked: barrier, gets same # of shocks • Part II (no barrier) – Experimental: learned to avoid footshock – Yoked: learned to not avoid footshock
  • 33. Summary t-test ANOVA assumptions Interval/ratio, normal, Interval/ratio, normal, homogeneity of variance homogeneity of variance groups 2 3+ statistic t, p < .05 F, p < .05 variations between, within between, within