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Experimental Designs (Introduction)

Experimental Designs (Introduction). By Fan Shenghua, Kelly. Example: What are the factors affecting the taste of a soft drink beverage?. Type of sweetener Ratio of syrup to water Carbonation level Temperature Others??. What is an experiment?.

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Experimental Designs (Introduction)

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  1. Experimental Designs (Introduction) By Fan Shenghua, Kelly

  2. Example: What are the factors affecting the taste of a soft drink beverage? • Type of sweetener • Ratio of syrup to water • Carbonation level • Temperature • Others??

  3. What is an experiment? • An inquiry in which an investigator chooses the levels (values) of input or independent variables and observes the values of the output or dependent variable(s).

  4. What is a statistical experimental design? Determine the levels of independent variables (factors) and the number of experimental units at each combination of these levels according to the experimental goal. • What is the output variable? • Which (input) factors should we study? • What are the levels of these factors? • What combinations of these levels should be studied? • How should we assign the studied combinations to experimental units? Experimental unit: the unit we apply the factors on to get the response.

  5. Example (Cont.): soft drink beverage • What is the output variable? Taste of the drink; score 1 to 10 (from poor to good) • What factors and at which levels should we study? A, B • Type of sweetener • Ratio of syrup to water • Carbonation level • Temperature Low, High

  6. Example (Cont.): soft drink beverage • What combinations of factors should be studied? All 2x2x2x2 combinations. • How should we assign the studied combinations to • experimental units? Assign equal number of units to each combination. (unit: the “null” beverage or say the plain water)

  7. The Six Steps of Experimental Design • Plan the experiment. • Design the experiment. • Perform the experiment. • Analyze the data from the experiment. • Confirm the results of the experiment. • Evaluate the conclusions of the experiment.

  8. Plan the Experiment • Identify the dependent or output variable(s). • Translate output variables to measurable quantities. • Determine the factors (input or independent variables) that potentially affect the output variables that are to be studied. • Identify potential combined actions between factors.

  9. Example: Which brand of battery should we buy? Three available brands; Prices etc. • What is the output variable? Battery life. (in hours) • What are the input variables (factors)?

  10. Design topics vs. variable types

  11. Prior experimental information

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