JSM 2004 - Toronto

Abstract #300352

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Activity Number: 372
Type: Topic Contributed
Date/Time: Wednesday, August 11, 2004 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract - #300352
Title: A New Two-stage Sampling Design for Estimating the Latest Flowering Time
Author(s): Nitis Mukhopadhyay*+
Companies: University of Connecticut
Address: Department of Statistics, U 4120, CLAS Bldg, Storrs , CT, 06269-4120,
Keywords: largest mean ; fixed-width ; confidence interval ; implementation ; data analysis
Abstract:

A horticulturist was considering the number of days (X) each variety took from planting seeds to reach the stage when the first bud appeared for three local marigold varieties. The data X could be recorded with accuracy of one-half day. The primary interest was to estimate the maximum waiting time between "seeding" and "first budding" among three varieties under consideration. The information that was made available guided us to use unequal pilot sample sizes. So, a new two-stage sampling design had to be developed and implemented. Important exact as well as some large-sample properties of the methodology are highlighted. The present approach is proven theoretically superior to the existing methodology that works only with equal pilot sample sizes. With the help of the data gathered from our designed experiment, the advantages of the new methodology will be indicated. This presentation will include some joint work with professors Mun S. Son and Y.C. Ko.


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