Nonparametric estimation of normal ranges given one-way ANOVA random effects assumptions

Alan D. Hutson

Statistics & Probability Letters, 2003, vol. 64, issue 4, 415-424

Abstract: In this note, we compare three strategies that are commonly used in practice for estimating quantiles and quantile functions when data are assumed generated from a standard balanced one-way ANOVA random effects model, e.g. data from repeated assays, where the goal is to nonparametrically estimate/define a normal range. Strategy 1 consists of averaging the within subject values and then estimating quantiles based upon the averaged values in a standard fashion. Strategy 2 consists of estimating quantiles within each replication and then averaging the marginal quantiles over the replications. Strategy 3 consists of estimating quantiles and ignoring the repeated measures mechanism all together. We show that Strategy 1 is generally a poor choice when the goal is to refine the quantile estimation from a single replication through the application of repeated repetitions of an experiment. Strategy 2 and 3 are shown to be asymptotically equivalent.

Keywords: Order; statistics; Quantile; function; Quantiles; Random; effects; Repeated; measures (search for similar items in EconPapers)
Date: 2003
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(03)00207-4
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:64:y:2003:i:4:p:415-424

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 ().