An Improvement on Some Approximate Solutions to Dalenius Equation
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Date
2016
Journal Title
Journal ISSN
Volume Title
Publisher
College of Natural Sciences, Al-Hikmah University, Ilorin, Nigeria
Abstract
Dalenius researched into the problem of strata boundary determination and came up with some sets of general equations that must be satisfied to reach optimum points of stratification (OPS). These equations met a lot of criticism in terms of its difficulty and time involved in solving them as well as its practical adaptability. Thus, for easy application, sets of approximate solutions were suggested. Deficiencies in the suggested solutions include unavailability of a theory to guide the choice of class interval in their application, use of Approximate Boundary Value (ABV) and overlapping within strata. This study developed the Exact Boundary Value (EBV) approach which places the boundaries at their exact value, eliminates overlapping within strata and produces more strata formation than the ABV. In terms of the precision of the two approaches, the EBV approach was found to be much more precise than the ABV approach for both optimum and proportional allocation.
Description
Keywords
Precision, Stratified sampling, Approximate boundary value, Exact boundary value
Citation
Al-Hikmah Journal of Pure and Applied Sciences