SlideShare a Scribd company logo
1 of 33
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

More Related Content

What's hot

Experimental research
Experimental researchExperimental research
Experimental research
izzajalil
 
Analysis of covariance
Analysis of covarianceAnalysis of covariance
Analysis of covariance
mikko656
 
Reliability
ReliabilityReliability
Reliability
Roi Xcel
 

What's hot (20)

Completely randomized design
Completely randomized designCompletely randomized design
Completely randomized design
 
Two way ANOVA
Two way ANOVATwo way ANOVA
Two way ANOVA
 
Basic Concepts of Experimental Design & Standard Design ( Statistics )
Basic Concepts of Experimental Design & Standard Design ( Statistics )Basic Concepts of Experimental Design & Standard Design ( Statistics )
Basic Concepts of Experimental Design & Standard Design ( Statistics )
 
Experimental research
Experimental researchExperimental research
Experimental research
 
Sources & criteria of selection
Sources & criteria of selectionSources & criteria of selection
Sources & criteria of selection
 
Pca analysis
Pca analysisPca analysis
Pca analysis
 
Experimental research design
Experimental research designExperimental research design
Experimental research design
 
Experimental design.pptx
Experimental design.pptxExperimental design.pptx
Experimental design.pptx
 
Analysis of covariance
Analysis of covarianceAnalysis of covariance
Analysis of covariance
 
Two sample t-test
Two sample t-testTwo sample t-test
Two sample t-test
 
Analysis of Variance (ANOVA)
Analysis of Variance (ANOVA)Analysis of Variance (ANOVA)
Analysis of Variance (ANOVA)
 
Quasi Experimental Research Design
Quasi Experimental Research DesignQuasi Experimental Research Design
Quasi Experimental Research Design
 
Chi square
Chi squareChi square
Chi square
 
Anova, ancova
Anova, ancovaAnova, ancova
Anova, ancova
 
Quantitative Data Analysis
Quantitative Data AnalysisQuantitative Data Analysis
Quantitative Data Analysis
 
Classical Test Theory and Item Response Theory
Classical Test Theory and Item Response TheoryClassical Test Theory and Item Response Theory
Classical Test Theory and Item Response Theory
 
Quasi Experimental Method
Quasi Experimental MethodQuasi Experimental Method
Quasi Experimental Method
 
Experimental Design | Statistics
Experimental Design | StatisticsExperimental Design | Statistics
Experimental Design | Statistics
 
Reliability
ReliabilityReliability
Reliability
 
Experimental Design
Experimental DesignExperimental Design
Experimental Design
 

Similar to Research Methods: Experimental Design I (Single Factor)

8 a class slides one way anova part 1
8 a class slides   one way anova part 18 a class slides   one way anova part 1
8 a class slides one way anova part 1
mjb70
 
Research design, laboratory experiment
Research design, laboratory experimentResearch design, laboratory experiment
Research design, laboratory experiment
leannacatherina
 
Applied statistics lecture_3
Applied statistics lecture_3Applied statistics lecture_3
Applied statistics lecture_3
Daria Bogdanova
 
Experiments
ExperimentsExperiments
Experiments
Tha UOey
 
The effects of green exercise on stress, anxiety and mood
The effects of green exercise on stress, anxiety and moodThe effects of green exercise on stress, anxiety and mood
The effects of green exercise on stress, anxiety and mood
James Neill
 
Bradford mvsu fall 2012 lecture 3 methods
Bradford mvsu fall 2012 lecture 3 methodsBradford mvsu fall 2012 lecture 3 methods
Bradford mvsu fall 2012 lecture 3 methods
John Bradford
 

Similar to Research Methods: Experimental Design I (Single Factor) (20)

Swayam
SwayamSwayam
Swayam
 
Rm week 8
Rm week 8Rm week 8
Rm week 8
 
Psyc 321_09 within groups
Psyc 321_09 within groupsPsyc 321_09 within groups
Psyc 321_09 within groups
 
ANOVA 2023 aa 2564896.pptx
ANOVA 2023  aa 2564896.pptxANOVA 2023  aa 2564896.pptx
ANOVA 2023 aa 2564896.pptx
 
Statistics using SPSS
Statistics using SPSSStatistics using SPSS
Statistics using SPSS
 
8 a class slides one way anova part 1
8 a class slides   one way anova part 18 a class slides   one way anova part 1
8 a class slides one way anova part 1
 
Cs comp&experiemental2011 12
Cs comp&experiemental2011 12Cs comp&experiemental2011 12
Cs comp&experiemental2011 12
 
Research Methods: Multifactorial Design
Research Methods: Multifactorial DesignResearch Methods: Multifactorial Design
Research Methods: Multifactorial Design
 
1 ANOVA.ppt
1 ANOVA.ppt1 ANOVA.ppt
1 ANOVA.ppt
 
24 25
24 2524 25
24 25
 
Workshop on Data Analysis and Result Interpretation in Social Science Researc...
Workshop on Data Analysis and Result Interpretation in Social Science Researc...Workshop on Data Analysis and Result Interpretation in Social Science Researc...
Workshop on Data Analysis and Result Interpretation in Social Science Researc...
 
Research design, laboratory experiment
Research design, laboratory experimentResearch design, laboratory experiment
Research design, laboratory experiment
 
Applied statistics lecture_3
Applied statistics lecture_3Applied statistics lecture_3
Applied statistics lecture_3
 
Experiments
ExperimentsExperiments
Experiments
 
The neuroscience of social learning: Brain-to-Brain Synchrony in Groups
The neuroscience of social learning: Brain-to-Brain Synchrony in GroupsThe neuroscience of social learning: Brain-to-Brain Synchrony in Groups
The neuroscience of social learning: Brain-to-Brain Synchrony in Groups
 
3.1 non parametric test
3.1 non parametric test3.1 non parametric test
3.1 non parametric test
 
The effects of green exercise on stress, anxiety and mood
The effects of green exercise on stress, anxiety and moodThe effects of green exercise on stress, anxiety and mood
The effects of green exercise on stress, anxiety and mood
 
Bradford mvsu fall 2012 lecture 3 methods
Bradford mvsu fall 2012 lecture 3 methodsBradford mvsu fall 2012 lecture 3 methods
Bradford mvsu fall 2012 lecture 3 methods
 
Analyzing quantitative
Analyzing quantitative  Analyzing quantitative
Analyzing quantitative
 
Experimental Studies
Experimental StudiesExperimental Studies
Experimental Studies
 

More from Brian Piper

More from Brian Piper (20)

Current recreational drugs: RX462 Drug Abuse & Society, Spring 2015 Class pre...
Current recreational drugs: RX462 Drug Abuse & Society, Spring 2015 Class pre...Current recreational drugs: RX462 Drug Abuse & Society, Spring 2015 Class pre...
Current recreational drugs: RX462 Drug Abuse & Society, Spring 2015 Class pre...
 
Drug Abuse & Society (RX 462) Presentations-Spring 2014
Drug Abuse & Society (RX 462) Presentations-Spring 2014Drug Abuse & Society (RX 462) Presentations-Spring 2014
Drug Abuse & Society (RX 462) Presentations-Spring 2014
 
electronic cigarettes
electronic cigaretteselectronic cigarettes
electronic cigarettes
 
Examination of Sexually Dimorphic Behavior on the Novel-Image Novel-Location ...
Examination of Sexually Dimorphic Behavior on the Novel-Image Novel-Location ...Examination of Sexually Dimorphic Behavior on the Novel-Image Novel-Location ...
Examination of Sexually Dimorphic Behavior on the Novel-Image Novel-Location ...
 
Drug abuse and society drug presentations: Spring 2013
Drug abuse and society drug presentations: Spring 2013Drug abuse and society drug presentations: Spring 2013
Drug abuse and society drug presentations: Spring 2013
 
Sedative & Hypnotic Drugs Part II
Sedative & Hypnotic Drugs Part IISedative & Hypnotic Drugs Part II
Sedative & Hypnotic Drugs Part II
 
Sedative & Hypnotic Agents Part I
Sedative & Hypnotic Agents Part ISedative & Hypnotic Agents Part I
Sedative & Hypnotic Agents Part I
 
Agents for Bipolar
Agents for BipolarAgents for Bipolar
Agents for Bipolar
 
Psychopharmacology of Anxiety: Part II OCD & PTSD
Psychopharmacology of Anxiety: Part II OCD & PTSDPsychopharmacology of Anxiety: Part II OCD & PTSD
Psychopharmacology of Anxiety: Part II OCD & PTSD
 
Psychopharmacology of Anxiety Disorders I: GAD & SAD
Psychopharmacology of Anxiety Disorders I: GAD & SADPsychopharmacology of Anxiety Disorders I: GAD & SAD
Psychopharmacology of Anxiety Disorders I: GAD & SAD
 
Antipsychotics Part II
Antipsychotics Part IIAntipsychotics Part II
Antipsychotics Part II
 
Antipsychotics I
Antipsychotics IAntipsychotics I
Antipsychotics I
 
Anti Inflammation agents for CNS
Anti Inflammation agents for CNSAnti Inflammation agents for CNS
Anti Inflammation agents for CNS
 
Antidepressants Part II
Antidepressants Part IIAntidepressants Part II
Antidepressants Part II
 
Antidepressants Part I
Antidepressants Part IAntidepressants Part I
Antidepressants Part I
 
Anticonvulsants Part II
Anticonvulsants Part IIAnticonvulsants Part II
Anticonvulsants Part II
 
Anticonvulsants Part I
Anticonvulsants Part IAnticonvulsants Part I
Anticonvulsants Part I
 
Agents for Brain Injury
Agents for Brain InjuryAgents for Brain Injury
Agents for Brain Injury
 
ADHD Drugs
ADHD DrugsADHD Drugs
ADHD Drugs
 
Pathophysiology: Myasthenia Gravis & Restless Leg Syndrome
Pathophysiology: Myasthenia Gravis & Restless Leg SyndromePathophysiology: Myasthenia Gravis & Restless Leg Syndrome
Pathophysiology: Myasthenia Gravis & Restless Leg Syndrome
 

Recently uploaded

Recently uploaded (20)

Axa Assurance Maroc - Insurer Innovation Award 2024
Axa Assurance Maroc - Insurer Innovation Award 2024Axa Assurance Maroc - Insurer Innovation Award 2024
Axa Assurance Maroc - Insurer Innovation Award 2024
 
Apidays New York 2024 - The value of a flexible API Management solution for O...
Apidays New York 2024 - The value of a flexible API Management solution for O...Apidays New York 2024 - The value of a flexible API Management solution for O...
Apidays New York 2024 - The value of a flexible API Management solution for O...
 
Boost PC performance: How more available memory can improve productivity
Boost PC performance: How more available memory can improve productivityBoost PC performance: How more available memory can improve productivity
Boost PC performance: How more available memory can improve productivity
 
Top 5 Benefits OF Using Muvi Live Paywall For Live Streams
Top 5 Benefits OF Using Muvi Live Paywall For Live StreamsTop 5 Benefits OF Using Muvi Live Paywall For Live Streams
Top 5 Benefits OF Using Muvi Live Paywall For Live Streams
 
Boost Fertility New Invention Ups Success Rates.pdf
Boost Fertility New Invention Ups Success Rates.pdfBoost Fertility New Invention Ups Success Rates.pdf
Boost Fertility New Invention Ups Success Rates.pdf
 
Understanding Discord NSFW Servers A Guide for Responsible Users.pdf
Understanding Discord NSFW Servers A Guide for Responsible Users.pdfUnderstanding Discord NSFW Servers A Guide for Responsible Users.pdf
Understanding Discord NSFW Servers A Guide for Responsible Users.pdf
 
Powerful Google developer tools for immediate impact! (2023-24 C)
Powerful Google developer tools for immediate impact! (2023-24 C)Powerful Google developer tools for immediate impact! (2023-24 C)
Powerful Google developer tools for immediate impact! (2023-24 C)
 
TrustArc Webinar - Stay Ahead of US State Data Privacy Law Developments
TrustArc Webinar - Stay Ahead of US State Data Privacy Law DevelopmentsTrustArc Webinar - Stay Ahead of US State Data Privacy Law Developments
TrustArc Webinar - Stay Ahead of US State Data Privacy Law Developments
 
presentation ICT roal in 21st century education
presentation ICT roal in 21st century educationpresentation ICT roal in 21st century education
presentation ICT roal in 21st century education
 
Automating Google Workspace (GWS) & more with Apps Script
Automating Google Workspace (GWS) & more with Apps ScriptAutomating Google Workspace (GWS) & more with Apps Script
Automating Google Workspace (GWS) & more with Apps Script
 
Connector Corner: Accelerate revenue generation using UiPath API-centric busi...
Connector Corner: Accelerate revenue generation using UiPath API-centric busi...Connector Corner: Accelerate revenue generation using UiPath API-centric busi...
Connector Corner: Accelerate revenue generation using UiPath API-centric busi...
 
Repurposing LNG terminals for Hydrogen Ammonia: Feasibility and Cost Saving
Repurposing LNG terminals for Hydrogen Ammonia: Feasibility and Cost SavingRepurposing LNG terminals for Hydrogen Ammonia: Feasibility and Cost Saving
Repurposing LNG terminals for Hydrogen Ammonia: Feasibility and Cost Saving
 
AWS Community Day CPH - Three problems of Terraform
AWS Community Day CPH - Three problems of TerraformAWS Community Day CPH - Three problems of Terraform
AWS Community Day CPH - Three problems of Terraform
 
Artificial Intelligence Chap.5 : Uncertainty
Artificial Intelligence Chap.5 : UncertaintyArtificial Intelligence Chap.5 : Uncertainty
Artificial Intelligence Chap.5 : Uncertainty
 
GenAI Risks & Security Meetup 01052024.pdf
GenAI Risks & Security Meetup 01052024.pdfGenAI Risks & Security Meetup 01052024.pdf
GenAI Risks & Security Meetup 01052024.pdf
 
Top 10 Most Downloaded Games on Play Store in 2024
Top 10 Most Downloaded Games on Play Store in 2024Top 10 Most Downloaded Games on Play Store in 2024
Top 10 Most Downloaded Games on Play Store in 2024
 
How to Troubleshoot Apps for the Modern Connected Worker
How to Troubleshoot Apps for the Modern Connected WorkerHow to Troubleshoot Apps for the Modern Connected Worker
How to Troubleshoot Apps for the Modern Connected Worker
 
Polkadot JAM Slides - Token2049 - By Dr. Gavin Wood
Polkadot JAM Slides - Token2049 - By Dr. Gavin WoodPolkadot JAM Slides - Token2049 - By Dr. Gavin Wood
Polkadot JAM Slides - Token2049 - By Dr. Gavin Wood
 
ProductAnonymous-April2024-WinProductDiscovery-MelissaKlemke
ProductAnonymous-April2024-WinProductDiscovery-MelissaKlemkeProductAnonymous-April2024-WinProductDiscovery-MelissaKlemke
ProductAnonymous-April2024-WinProductDiscovery-MelissaKlemke
 
2024: Domino Containers - The Next Step. News from the Domino Container commu...
2024: Domino Containers - The Next Step. News from the Domino Container commu...2024: Domino Containers - The Next Step. News from the Domino Container commu...
2024: Domino Containers - The Next Step. News from the Domino Container commu...
 

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