Test matrices 16.621 Prof earl murman
Test Matrices 16.621 Prof. Earll Murman
Variables o Independent Variable: a quantity that you will vary and control E. G. angle of attack, chamber pressure or temperature, coefficient in algorithm, luminosity, gain O Parameter: a quantity that is set or otherwise determined which you will not vary but which needs to be recorded E. G. atmospheric pressure, constant in algorithm, battery voltage,… O Dependent Variable: A measureable output quantity of your experiment which is a function of the input variables and parameters E. G. reaction time, force, energy consumed temperature
2 Variables z Independent Variable: A quantity that you will vary and control – E.G.; angle of attack, chamber pressure or temperature, coefficient in algorithm, luminosity, gain, ... z Parameter: A quantity that is set or otherwise determined, which you will not vary but which needs to be recorded – E.G.; atmospheric pressure, constant in algorithm, battery voltage,... z Dependent Variable: A measureable output quantity of your experiment which is a function of the input variables and parameters – E.G.; reaction time, force, energy consumed, temperature
Exercise With your partner, write down your expected variables and parameters o Independent variables ● Parameters ● Dependent variables
3 Exercise z With your partner, write down your expected variables and parameters. z Independent Variables z Parameters z Dependent variables
Test matrices A graphical display of your experimental independent variables to help Covey the scope of your experiment to your audience Plan and execute your experiment e Each cell represents a data point for your experiment for which you will collect values for the dependent variables Propeller RPM TVS O RPM 1000 RPM 2000 RPM 3000 RPM 4000 RPM eeds 0 mph mp KDVs 10 mph 15 mph Courtesy of Cyndi vongvanith and Lester McCoy 4
4 Test Matrices z A graphical display of your experimental independent variables to help: – Covey the scope of your experiment to your audience – Plan and execute your experiment z Each cell represents a “data point” for your experiment for which you will collect values for the dependent variables. 4000 RPM 0 mph 5 mph 10 mph 15 mph 0 RPM 1000 RPM 2000 RPM 3000 RPM Propeller RPM Speed . Courtesy of Cyndi Vongvanith and Lester McCoy IVs DVs
Multi-Variable experiments Factor= Number of independent variables Four-Factor experiment has 4 independent variables Level a given value of an independent variable Numerical -200 300 400 Qualitative- Brand x, brand y, brand z Full-Factorial Experiment All factors at all levels May lead to a huge number of data points Fractional-Factorial Experiment Expert judgement: carefully selected subset Adaptive: decide as you get some data Design of Experiments Taguchi, orthogonal arrays Beyond scope of 16.62X
5 Multi-Variable Experiments – Factor = Number of independent variables • Four-Factor experiment has 4 independent variables – Level = A given value of an independent variable • Numerical – 200, 300, 400 … • Qualitative – Brand x, Brand y, Brand z … – Full-Factorial Experiment • All factors at all levels • May lead to a huge number of data points. – Fractional-Factorial Experiment • Expert judgement: carefully selected subset • Adaptive: decide as you get some data • Design of Experiments: Taguchi, orthogonal arrays – Beyond scope of 16.62X