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The Design of
Experiment: Examples
    Yiming Chen, Oct. 22, 2010
Design of Experiment

   Phenomena                Hypothesis



               Experiment




                 Theory
Examples


• Detonation Test, in World War II
• Controlled Experimentation on Scurvy
Detonation Test
   in WW II
1. E.B. Wilson, The analysis of experimental data,
An Introduction to Scientific Research, McGraw-
Hill, New York (1952)

2. http://en.wikipedia.org/wiki/Explosive_material
Detonation Test
• Factors of Explosion
   • Chemical composition;
   • Initiator;
   • Shape of explosive shell;
   • Material of explosive shell;
   • ………………
Detonation Test


Too Complicated to study!
Detonation Test
Cylinder Expansion Test: An Simplified Model


  • Standard amount of explosive is loaded
     into a long hollow cylinder;
  • Detonated at one end;
  • Data is collected concerning the rate of
     radial expansion of the cylinder wall;
Cylinder Expansion Test
Simplified Ideal Model


• Simplification: Remove variables by ideal Model;
• Standardization: Comparative and Repeatable;
Simplified Ideal Model


Powerful tool to study fundamental mechanism in detail.
Experiment on
    Scurvy
1. http://en.wikipedia.org/wiki/
Design_of_experiments

2. http://en.wikipedia.org/wiki/Scurvy

3. James Lind (1716-94) of Edinburgh and the
treatment of scurvy, Arch Dis Child Fetal
Neonatal Ed 1997;76:F64-F65
Experiment on Scurvy
• Scurvy was at one time common among
  sailors due to lacking of fresh vegetables &
  fruits;
• Described by Hippocrates (460 BC–380
  BC), and partially cured by herbal in many
  native cultures;
• Killing large numbers of the passengers and
  crew on long-distance voyages.
Experiment on Scurvy

• James Lind carried out a controlled
  experiment to develop a cure for scurvy.
  -   12 men selected, all suffering from scurvy;
  -   Divided into six pairs, giving different
      additions to their basic diet for a period
      of two weeks;
Experiment on Scurvy
Experiment on Scurvy
Pair                      Additional Food
 1          A quart of cider
 2       Drops of Sulfuric Acid
 3         1.5 pint of seawater
 4     Garlic, mustard, horseradish
 5         Spoons of Vinegar
 6        Oranges and Lemons
Experiment on Scurvy
Pair                      Additional Food
 1          A quart of cider
 2       Drops of Sulfuric Acid
 3         1.5 pint of seawater
 4     Garlic, mustard, horseradish
 5         Spoons of Vinegar
 6        Oranges and Lemons
Experiment on Scurvy
Pair                      Additional Food
 1          A quart of cider
 2       Drops of Sulfuric Acid
 3         1.5 pint of seawater
 4     Garlic, mustard, horseradish
 5         Spoons of Vinegar
 6        Oranges and Lemons
Experiment on Scurvy
Pair                      Additional Food
 1          A quart of cider
 2       Drops of Sulfuric Acid
 3         1.5 pint of seawater
 4     Garlic, mustard, horseradish
 5         Spoons of Vinegar
 6        Oranges and Lemons
Experiment on Scurvy
Pair                      Additional Food
 1          A quart of cider
 2       Drops of Sulfuric Acid
 3         1.5 pint of seawater
 4     Garlic, mustard, horseradish
 5         Spoons of Vinegar
 6        Oranges and Lemons
Experiment on Scurvy
Pair                      Additional Food
 1          A quart of cider
 2       Drops of Sulfuric Acid
 3         1.5 pint of seawater
 4     Garlic, mustard, horseradish
 5         Spoons of Vinegar
 6        Oranges and Lemons
Experiment on Scurvy
Pair                      Additional Food
 1          A quart of cider
 2       Drops of Sulfuric Acid
 3         1.5 pint of seawater
 4     Garlic, mustard, horseradish
 5         Spoons of Vinegar
 6        Oranges and Lemons
Experiment on Scurvy
Pair                      Additional Food
 1          A quart of cider        No comparable improvement

 2       Drops of Sulfuric Acid     No comparable improvement

 3         1.5 pint of seawater     No comparable improvement

 4     Garlic, mustard, horseradish No comparable improvement
 5         Spoons of Vinegar        No comparable improvement

 6        Oranges and Lemons        Recovered within week
Scurvy Experiment

• Conclusion: Scurvy could be cured by Citrus
  fruits;
• Mechanism: resulting from a deficiency of
  vitamin C, which is required for the synthesis
  of collagen in humans.
Scurvy Experiment


      But ......
Scurvy Experiment

• He fed patients with H SO , seawater: lacking
                         2   4
  of proper knowledge;
• Additional foods are pre-assigned to patients:
  missing randomized allocation of subjects to
  treatments.
Controlled
     Experimentation
• Compare experimental sample against
  controlled sample;
• Controlled sample is identical to
  experimental sample except the variable
  need to be tested (independent variable);
Don’t Leave


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Design of Experiment

  • 1. The Design of Experiment: Examples Yiming Chen, Oct. 22, 2010
  • 2. Design of Experiment Phenomena Hypothesis Experiment Theory
  • 3. Examples • Detonation Test, in World War II • Controlled Experimentation on Scurvy
  • 4. Detonation Test in WW II 1. E.B. Wilson, The analysis of experimental data, An Introduction to Scientific Research, McGraw- Hill, New York (1952) 2. http://en.wikipedia.org/wiki/Explosive_material
  • 5. Detonation Test • Factors of Explosion • Chemical composition; • Initiator; • Shape of explosive shell; • Material of explosive shell; • ………………
  • 7. Detonation Test Cylinder Expansion Test: An Simplified Model • Standard amount of explosive is loaded into a long hollow cylinder; • Detonated at one end; • Data is collected concerning the rate of radial expansion of the cylinder wall;
  • 9. Simplified Ideal Model • Simplification: Remove variables by ideal Model; • Standardization: Comparative and Repeatable;
  • 10. Simplified Ideal Model Powerful tool to study fundamental mechanism in detail.
  • 11. Experiment on Scurvy 1. http://en.wikipedia.org/wiki/ Design_of_experiments 2. http://en.wikipedia.org/wiki/Scurvy 3. James Lind (1716-94) of Edinburgh and the treatment of scurvy, Arch Dis Child Fetal Neonatal Ed 1997;76:F64-F65
  • 12. Experiment on Scurvy • Scurvy was at one time common among sailors due to lacking of fresh vegetables & fruits; • Described by Hippocrates (460 BC–380 BC), and partially cured by herbal in many native cultures; • Killing large numbers of the passengers and crew on long-distance voyages.
  • 13. Experiment on Scurvy • James Lind carried out a controlled experiment to develop a cure for scurvy. - 12 men selected, all suffering from scurvy; - Divided into six pairs, giving different additions to their basic diet for a period of two weeks;
  • 15. Experiment on Scurvy Pair Additional Food 1 A quart of cider 2 Drops of Sulfuric Acid 3 1.5 pint of seawater 4 Garlic, mustard, horseradish 5 Spoons of Vinegar 6 Oranges and Lemons
  • 16. Experiment on Scurvy Pair Additional Food 1 A quart of cider 2 Drops of Sulfuric Acid 3 1.5 pint of seawater 4 Garlic, mustard, horseradish 5 Spoons of Vinegar 6 Oranges and Lemons
  • 17. Experiment on Scurvy Pair Additional Food 1 A quart of cider 2 Drops of Sulfuric Acid 3 1.5 pint of seawater 4 Garlic, mustard, horseradish 5 Spoons of Vinegar 6 Oranges and Lemons
  • 18. Experiment on Scurvy Pair Additional Food 1 A quart of cider 2 Drops of Sulfuric Acid 3 1.5 pint of seawater 4 Garlic, mustard, horseradish 5 Spoons of Vinegar 6 Oranges and Lemons
  • 19. Experiment on Scurvy Pair Additional Food 1 A quart of cider 2 Drops of Sulfuric Acid 3 1.5 pint of seawater 4 Garlic, mustard, horseradish 5 Spoons of Vinegar 6 Oranges and Lemons
  • 20. Experiment on Scurvy Pair Additional Food 1 A quart of cider 2 Drops of Sulfuric Acid 3 1.5 pint of seawater 4 Garlic, mustard, horseradish 5 Spoons of Vinegar 6 Oranges and Lemons
  • 21. Experiment on Scurvy Pair Additional Food 1 A quart of cider 2 Drops of Sulfuric Acid 3 1.5 pint of seawater 4 Garlic, mustard, horseradish 5 Spoons of Vinegar 6 Oranges and Lemons
  • 22. Experiment on Scurvy Pair Additional Food 1 A quart of cider No comparable improvement 2 Drops of Sulfuric Acid No comparable improvement 3 1.5 pint of seawater No comparable improvement 4 Garlic, mustard, horseradish No comparable improvement 5 Spoons of Vinegar No comparable improvement 6 Oranges and Lemons Recovered within week
  • 23. Scurvy Experiment • Conclusion: Scurvy could be cured by Citrus fruits; • Mechanism: resulting from a deficiency of vitamin C, which is required for the synthesis of collagen in humans.
  • 24. Scurvy Experiment But ......
  • 25. Scurvy Experiment • He fed patients with H SO , seawater: lacking 2 4 of proper knowledge; • Additional foods are pre-assigned to patients: missing randomized allocation of subjects to treatments.
  • 26. Controlled Experimentation • Compare experimental sample against controlled sample; • Controlled sample is identical to experimental sample except the variable need to be tested (independent variable);
  • 27. Don’t Leave It'll be more appealing later!

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