Designs for Minimum Bias Estimation


Draper, Norman R.; Sanders, Elizabeth R.   (1988, ASQC and the American Statistical Association)   University of Wisconsin, Madison, WI; McLean, VA

Technometrics    Vol. 30    No. 3
QICID: 9361    August 1988    pp. 319-325
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Article Abstract

Minimum bias estimation was suggested as an alternative to least squares for polynomial fits by Karson, Manson, and Hader (1969). To use this alternative, a combination of least squares estimates of coefficients of the model order fitted, and of the additional model order whose bias is being guarded against, needs to be calculated. Individual estimation of the higher-order coefficients is usually not necessary, and the question of finding parsimonious designs that provide only those combinations of estimated coefficients that are needed is explored. Some specific types of designs are suggested, including a new type of second-order rotatable design consisting of combinations (in k dimensions) of two-dimensional equiradial point sets.


Response surfaces,Rotatability

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