Abstract
Two-level factorial or fractional factorial experimental designs are used for obtaining a first-order approximation to the response function. They are particularly useful for selecting a smaller subset of potential input factors with which to formulate a better approximation equation. In this chapter, we will discuss some classes of experimental designs useful for fitting second-order (Quadratic) approximating equations.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Box, G. E. P., Hunter, W. G., & Hunter, J. S. (1978). Statistics for experimenters. New York: Wiley.
Conover, W. J. (1999). Practical nonparametric statistics (3rd ed.). New York: Wiley.
Draper, N. R., & Smith, H. (1998). Applied regression analysis (3rd ed.). New York: Wiley.
Grant, E. L., & Leavenworth, R. S. (1980). Statistical quality control (5th ed.). New York: McGraw-Hill.
Johnson, N. L. (1949). Systems of frequency curves generated by translation. Biometrika, 36, 149–176.
Johnson, N. L., Kotz, S., & Balakrishnan, N. (1995). Continuous univariate distributions (2nd ed., Vol. 2). New York: Wiley.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Pardo, S.A. (2016). Higher Order Approximations. In: Empirical Modeling and Data Analysis for Engineers and Applied Scientists. Springer, Cham. https://doi.org/10.1007/978-3-319-32768-6_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-32768-6_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-32767-9
Online ISBN: 978-3-319-32768-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)