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Flick Tail Study

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Experimental unit: mouse. Each mouse may or may not flick the tail after receiving heat stimulus. Number of mice flicking tails in each treatment (out of 10) was ... – PowerPoint PPT presentation

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Title: Flick Tail Study


1
Flick Tail Study
  • Statistical Analysis
  • by Yulia Tsutsa and Jin Zhang
  • McMaster University
  • March 23rd, 2006

2
Content
  • Introduction
  • Experiment
  • Logistic model
  • Conclusion

3
Introduction
  • Morphine and Marijuana
  • pain relief medication
  • Motivation
  • is any combination better than each drug alone?
  • Objective
  • whether interaction effect exists

4
Experiment
  • Dosage
  • Morphine 9 levels
  • 0, 1, 2, , 8 (mg/kg)
  • Marijuana 6 levels
  • 0, 1, 2, 4, 8, 16 (mg/kg)
  • Combinations/Treatments
  • Control
  • Morphine alone
  • Marijuana alone
  • Both morphine and marijuana

5
Experiment
  • Experimental unit mouse
  • Each mouse may or may not flick the tail after
    receiving heat stimulus
  • Number of mice flicking tails in each treatment
    (out of 10) was recorded

6
Treatment Arrangement
7
Logistic Model
  • Model with interaction
  • Logit(p)log(p/(1-p))
  • ß0ß1Drug1ß2Drug2ß3Drug1Drug2,
  • where p is the probability of response, Drug1
    is the dose of morphine, and
  • Drug2 is the dose of marijuana

8
Logistic Model
  • R output
  • Coefficients
  • Estimate Pr(gtz)
  • (Intercept) -3.2832 2.39e-11
  • morphine 0.7604 4.93e-11
  • del9 0.9703 1.43e-06
  • morphinedel9 0.2588 0.0548

9
Conclusion
  • Strong effect of each drug
  • Interaction effect most likely exists
  • Small range of drug combinations
  • Suggestion perform new trials at enlarged scope
    of combinations
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