The nonorthogonal estimator

Matthew Haner

Statistics & Probability Letters, 2005, vol. 73, issue 4, 347-356

Abstract: Classical fractional factorial designs yield biased estimates of a set of parameters when aliased parameters are nonzero. In the early 1960s Ehrenfeld and Zacks constructed Randomization Procedures I and II to remove this bias from estimation of a subset of parameters of a full factorial experiment. The subset of parameters to be estimated using either of these randomization procedures must have a certain group structure and the sample size must be a multiple of the group size. In this paper, we discuss the nonorthogonal estimator which removes these restrictions while producing unbiased estimates in the case of a two-level experiment. Examples are provided.

Keywords: Fractional; replications; Unbiased; estimators; Randomized; estimators (search for similar items in EconPapers)
Date: 2005
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(05)00130-6
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:73:y:2005:i:4:p:347-356

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().