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OPTIMUM ALLOCATION IN MULTIPHASE OR SUCCESSIVE SAMPLING INVESTIGATIONS WITH TWO-STAGE SAMPLING

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Title OPTIMUM ALLOCATION IN MULTIPHASE OR SUCCESSIVE SAMPLING INVESTIGATIONS WITH TWO-STAGE SAMPLING
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Creator M.G. Mittal
 
Subject Matched Sampling
Two stage sampling
Three Phase sampling
 
Description Not Available
The following problems have been attempted in the present work.
I. Investigation of optimum design in tow stage sampling when the survey is to be conducted on two successive occasions.
II. To determine the estimation procedure and investigation of an optimum design in three-phase sampling. As regards problem I, attempt has been made to obtain expression for optimum allocation and sampling fraction for a two-stage sampling design when the survey is to be conducted on two successive occasions and the expenditure to be incurred does not change from one occasion to another. For the sake of simplicity the discussion is confined to a two-stages were drawn with equal probability and without replacement and out of the primary stage units examined at the first occasion a fraction ‘P’ was retained for the second occasion.
As regards problem II, the concept of three-phase sampling has been introduced where use has been made of stratification as well as regression method. The estimation procedure and optimum design in three-phase sampling has been obtained under two sampling designs.

(1) When sample at each phase is drawn with equal probability.
(2) When sampling units at third phase are drawn with varying probability.
Tables have been prepared to show the efficiency of estimates developed here to compare with the regression estimate developed by Neymen (1938) for two-phase sampling, the total cost to be incurred in both the cases being same. Form tables it is clear that percentage gain in efficiency in the case of estimate with equal probability at each phase varies from 54% to 63% depending upon various values of ‘cost’ constants & the percentage gain in efficiency in the case of estimate with varying probability at third phase varies from 57% to 67% depending upon various values of ‘cost’ constants.
It has also been shown that the underestimation of the variance of regression estimate of the population mean of the character under study when the regression coefficient is assumed to be constant when in fact it is subject to sampling fluctuations is negligible when sample size is large specially when ‘X’ (auxiliary character) and ‘Y’ (character under study) are normally distributed.
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Date 2018-07-06T10:43:10Z
2018-07-06T10:43:10Z
1966-01-01
 
Type Dissertation/Thesis
 
Identifier M.G. Mittal (1966), OPTIMUM ALLOCATION IN MULTIPHASE OR SUCCESSIVE SAMPLING INVESTIGATIONS WITH TWO-STAGE SAMPLING , Unpublished Diploma in Agricultural and Animal Husbandry Statistics, IASRI, New Delhi
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http://krishi.icar.gov.in/jspui/handle/123456789/6101
 
Language English
 
Relation Not Available;
 
Publisher ICAR-IASRI (Erstwhile IARS), New Delhi