Design and Analysis of Experiments

Mason, R. L. Gunst, R. F. Hess, J. L. Statistical Design and Analysis of Experiments. Wiley New York, 1989. 

D.C. Montgomery, Design and Analysis of Experiments, second edition, WUey, New York,... 

There are many books that address experimental design and present factorial experimental design in detail (for example Design and Analysis of Experiments by Montgomery (1997) or Design of Experiments by Anderson and McLean (1974)). As engineers, we are faced quite often with the need to design a set of preliminary experiments for a process that very little or essentially no information is available. 

Experiments that will be used to estimate the behavior of a system should not be chosen in a whimsical or unplanned way, but rather, should be carefully designed with a view toward achieving a valid approximation to a region of the true response surface [Cochran and Cox (1950), Youden (1951), Wilson (1952), Mandel (1964), Fisher (1971)]. In the next several chapters, many of the important concepts of the design and analysis of experiments are introduced at an elementary level for the single-factor single-response case. In later chapters, these concepts will be generalized to multifactor, multiresponse systems. 

Mendenhall, W. (1968), Introduction to Linear Models and the Design and Analysis of Experiments, Wadsworth, Belmont, CA. 

I.N. Vuchkov and L.N. Boyadjieva, The robustness against tolerances of performance characteristics described by second order polynomials, paper presented at First international conference-work-shop on optimal design and analysis of experiments, Neuchatel, Switzerland, July 25-28, 1988. 

D. Montgomery, Design and Analysis of Experiments. 5th ed. (New York, Wiley, 2001) C. F. Wu and M. Hamada, Experiments Planning, Analysis, and Parameter Design Optimization (New York Wiley, 2000) M. Anderson and... 

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