Responses
A response can be considered the output, design objective, or measurement of interest. In a
Design of Experiment (DOE), you monitor or measure the response after each
Trial evaluation. After adequate trials have been completed, you attempt to numerically establish a function relationship between the inputs (factors) of the system and the outputs (responses) of the system.
If successful, a response evaluates to some function and the independent variables are the factors or inputs to the system. A scalar response is a type of response which returns a single value of interest.
Response 01 = R_01 (f1, f2, f3, ... fn)
This function could be a linear function or a higher-order function. The following example demonstrates a quadratic response with three factors. The Adams Insight fit utility computes the constant and coefficients
R_01 (f1, f2, f3) = a | + (b * f1) + (c * f2) + (d * f3) |
| + (e * f1 * f2) + (f * f1 * f3) + (g * f2 * f3) |
| + (h * f1^2) + (i * f2^2) + (j * f3^2) |
where a = Constant and b ... j are the coefficients.