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The design of experiments (DOE), [1] also known as experiment design or experimental design, is the design of any task that aims to describe and explain the variation of information under conditions that are hypothesized to reflect the variation.
If the factor levels are simply categories, the correspondence might be different; for example, it is natural to represent "control" and "experimental" conditions by coding "control" as 0 if using 0 and 1, and as 1 if using 1 and −1. [note 1] An example of the latter is given below. That example illustrates another use of the coding +1 and −1.
Experimental design is the design of all information-gathering exercises where variation is present, whether under the full control of the experimenter or an observational study. The experimenter may be interested in the effect of some intervention or treatment on the subjects in the design.
Experimental Design Diagram (EDD) is a diagram used in science to design an experiment.This diagram helps to identify the essential components of an experiment. It includes a title, the research hypothesis and null hypothesis, the independent variable, the levels of the independent variable, the number of trials, the dependent variable, the operational definition of the dependent variable and ...
In the design of experiments, optimal experimental designs (or optimum designs [2]) are a class of experimental designs that are optimal with respect to some statistical criterion. The creation of this field of statistics has been credited to Danish statistician Kirstine Smith .
The utilization of the between-group experimental design has several advantages. First, multiple variables, or multiple levels of a variable, can be tested simultaneously, and with enough testing subjects, a large number can be tested. Thus, the inquiry is broadened and extended beyond the effect of one variable (as with within-subject design).
(where ! denotes factorial) possible run sequences (or ways to order the experimental trials). Because of the replication, the number of unique orderings is 90 (since 90 = 6!/(2!*2!*2!)). An example of an unrandomized design would be to always run 2 replications for the first level, then 2 for the second level, and finally 2 for the third level.
This is a workable experimental design, but purely from the point of view of statistical accuracy (ignoring any other factors), a better design would be to give each person one regular sole and one new sole, randomly assigning the two types to the left and right shoe of each volunteer. Such a design is called a "randomized complete block design."