Response Surface Methodology-A Statistical Tool for the Optimization of Responses

Abstract

Experimentation plays a significant role in Science and Technology, which is an application of handling experimental units, and then the determination of one or more responses from that. In every experiment, some inputs (x) transform into results that have one or more observable response variables (y). Therefore, from the results, the conclusion can be drawn by experiment. For obtaining an unbiased conclusion a researcher needs to plan & design the experiment and analyze the results obtained. When dealing with a continuous range of values then the true connection between y and x’s might not be known. In such cases, statistical analysis like Response Surface Methodology plays a crucial role, which is a combination of statistical and mathematical techniques useful for designing and analyzing problems where a response of interest is affected by several variables, and the objective is to optimize this response. It generally helps in reviewing the empirical relationship among one or more measured responses and various independent variables in the form of a polynomial equation. Mapping of those responses associated with the experimental domain helps in generating an optimized method.