Sage Journals: Discover world-class research

Abstract

A procedure is described for calculating empirical models based on the combined data collected in a series of sequential experiments. A hypothetical example involving ten independent variables is used to illustrate these procedures. Issues related to the comparability of data from several experiments, the use of both continuous and discrete variables in the model, the specification of additional data needed to calculate a second-order polynomial, and the procedure for determining the optimal combination of variables are discussed. Necessary rules for combining data from several studies are suggested. Mathematical criteria of efficiency, variance of coefficients, and orthogonality are used to evaluate this procedure.

Get full access to this article

View all access options for this article.

References

Box

G.E.P.

Draper

N.R.

(1987). Empirical model building and response surfaces. New York: Wiley.

Dykstra

Jr. (1971). The augmentation of experimental data to maximize |X'X|. Technometrics, 13(3), 682–688.

Lazimy

(1985). Improved algorithm for mixed-integer quadratic programs and a computational study. Mathematical Programming, 32, 100–113.

Lucas

J.M.

(1976). Which response surface design is best? Technometrics, 18, 411–417.

Myers

R.H.

(1986). Classical and modern regression with applications. Boston: Duxbury Press.

Simon

C.W.

(1973). Economical multifactor designs for human factors engineering experiments. Culver City, CA, Hughes Aircraft Company, Technical Report No. P73–326A.

Smith

L.L.

(1987). Whyfore human factors? In Human Factors Society Bulletin (pp. 6–7). 30(2), Santa Monica, CA: Human Factors Society.

Williges

R.C.

(1981). Development and use of research methodologies for complex system/simulation experimentation. In Moraal

Kraiss

(Eds.), Manned system design (pp. 59–87). New York: Plenum.

Williges

R.C.

(1987). The use of models in human-computer interface design. Ergonomics. 30, 491–502.

10.

Williges

R.C.

Williges

B.H.

(1982). Modeling the human operator in computer based data entry. Human Factors, 24, 285–299.

11.

Williges

R.C.

Williges

B.H.

(1989). Integrated research paradigm for complex experimentation. In Proceedings of the Human Factors Society Annual Meeting, (pp. 606–610). Santa Monica, CA: Human Factors Society.

Empirical Models Based on Data from Several Experiments

Abstract

Get full access to this article

References