Abstract
In factorial designs that are used in the development of new products or in other applications the response Y frequently has unequal variances depending on the factor levels. The response can be written as a function Y = f(x), where x = (t′, Z′), entails all factors influencing Y. t denotes the treatment, i. e. the levels of the controllable factors (design factors), while Z denotes the levels of the (non-observable) random factors. It is assumed that all components of Z are stochastically independent.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Box, G. E. P and Meyer, R. D. [1986], Dispersion effects from fractional designs, Technometrics 30, 1–17
Davidian, M. and Carroll, R. J. [1987], Variance function estimation. Journal of the American Statistical Association 82, 1079–1091
Ghosh, S. and Lagergren, E. S. [1990], Dispersion models and estimation of dispersion effects in replicated factorial experiments. Journal of statistical planning and inference 26, 253–262
Rao, C. R. [1979], MINQE theory and its relation to ML and MML estimation of variance components. Sankhya 41, 138–153
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Uhlig, S. (1993). Analysis of Dispersion Effects in Fractional Factorial Two-Level Designs. In: Karmann, A., Mosler, K., Schader, M., Uebe, G. (eds) Operations Research ’92. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-12629-5_109
Download citation
DOI: https://doi.org/10.1007/978-3-662-12629-5_109
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-0679-3
Online ISBN: 978-3-662-12629-5
eBook Packages: Springer Book Archive