In general usage, design of experiments (DOE) or experimental design is the design of any information-gathering exercises where variation is present, whether under the full control of the experimenter or not. However, in statistics, these terms are usually used for controlled experiments. Design of experiments (DOE) is a series of tests in which purposeful changes are made to the input variables of a process so that we may observe and identify corresponding changes in the output response.
It is a valuable tool to optimise product and process designs, accelerate the development cycle, reduce development costs, improve the transition of products from research and development to manufacturing and effectively troubleshoot manufacturing problems. Today, the Design of Experiments is viewed as a quality technology to achieve product excellence at the lowest possible overall cost.
Comparing Alternatives. It helps us to compare two or more alternatives and choose the best one. For instance, choose the best vendor who supplies the raw material.
Determining which input variables are most influential on the output or response variable. For example, what are the significant factors amongst raw material, temperature, process time, operator and etc.?
Determining where to set the influential controllable input variables so that output is near the nominal requirement. For instance, If temperature is the most influential factor, what is the temperature which results in the best quality product.
Determining where to set the influential input variables so that variability in the response variable is small.
Determining where to set the influential input variables so that the effects of the input variables which are out of our control are minimised.
A typical experiment that is usually used to show the advantage of DEO is called the Catapult experiment. The main questions in this experiment are that how far does the catapult throw the ball? How can we adjust the catapult to hit a target? Which one is more important? Stop angle, Rubberband tension, hook, …?
As a result of a simple DOE, it is reported that it took about 200 man-hours and the experimental results showed that predicting the ball landing site was accurate within 15 inches, whereas the design of the experiment approach requires 6 man-hours and it was accurate within 3 inches. It shows how DOE can save resources to hit the target sooner, more precise, and more efficient.
The main steps to implement an experimental design are as follows.
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