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# expdesign1 - Experimental Design and Analysis of Variance...

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Experimental Design and Analysis of Variance Factorial Experiments Elements of a designed experiment Completely Randomized Designs Randomized Block Design Multiple comparison of means

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Elements of experimental design Statistical studies can be classified as being either experimental or observational. In a designed experimental , the analyst controls the specification of the treatments and the method of assigning the experimental unites to treatment. In an observational experiment , no attempt is made to control the factors. The analyst simply observes the treatments and the response. Cause-and-effect relationships are easier to establish in designed experiments than in observational experiments.
An Introduction to Experimental Design A factor is a variable whose effect on the response is of interest to the experimenter. Also called independent variable. The response variable is the variable of interest. Also called dependent variable. The treatments of an experiment are the factor level combinations used. Experimental units are the objects on which response and factors are collected. A completely randomized design is an experimental design in which the treatments are randomly assigned to the experimental units. The factor levels are the values of the factor utilized in the experiment.

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An Introduction to Experimental Design Populations of experimental units Sample of experimental units Treatment 1 sample Apply factor level comb 1 Apply factor level comb 2 Apply factor level comb k Treatment 2 sample Treatment k sample Responses for treatment one Responses for treatment two Responses for treatment k
Two factor golf experiment Suppose the USGA is interested in comparing the mean distances the four brands of golf balls travel when struck by a five-iron and by a driver. Ten ball of each brand are randomly selected, and five to be struck by a five-iron and five to be struck by the driver. Identify the elements of the experiment, and construct a schematic diagram to provide an overview of this experiment.

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Two factor golf experiment Populations of experimental units Sample of 40 golf ball-hitting Treatment 1 sample Brand A driver Brand A five-iron Brand D five-iron Treatment 2 sample Treatment k sample 5 distance measures 5 distance measures 5 distance measures
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