0000000000213924

AUTHOR

Vicente A. Núñez Antón

showing 3 related works from this author

The Tax Justice Network-Africa v Cabinet Secretary for National Treasury & 2 Others: A Big Win for Tax Justice Activism?

2019

This paper develops an optimization model for selecting a large subsample that improves the representativeness of a simple random sample previously obtained from a population larger than the population of interest. The problem formulation involves convex mixed-integer nonlinear programming (convex MINLP) and is therefore NP-hard. However, the solution is found by maximizing the “constant of proportionality” – in other words, maximizing the size of the subsample taken from a stratified random sample with proportional allocation – and restricting it to a p-value high enough to achieve a good fit to the population of interest using Pearson’s chi-square goodness-of-fit test. The beauty of the m…

education.field_of_studyPopulationStatisticsChi-square testSample (statistics)p-valueeducationSimple random sampleRepresentativeness heuristicStratified samplingMathematicsNonlinear programmingSSRN Electronic Journal
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Automatic regrouping of strata in the goodness-of-fit chi-square test

2019

Pearson’s chi-square test is widely employed in social and health sciences to analyze categorical data and contingency tables. For the test to be valid, the sample size must be large enough to provide a minimum number of expected elements per category. This paper develops functions for regrouping strata automatically no matter where they are located, thus enabling the goodness-of-fit test to be performed within an iterative procedure. The functions are written in Excel VBA (Visual Basic for Applications) and in Mathematica. The usefulness and performance of these functions is illustrated by means of a simulation study and the application to different datasets. Finally, the iterative use of …

Contingency tableComputer scienceContinuous Sample of Working Lives62G10 62P25MathematicaSample (statistics):62 Statistics::62P Applications [Classificació AMS]Visual Basic for ApplicationsEconomiaTest (assessment):62 Statistics::62G Nonparametric inference [Classificació AMS]Goodness of fitFinancesSample size determination:Matemàtiques i estadística::Estadística matemàtica [Àrees temàtiques de la UPC]StatisticsVisual Basic for ApplicationsChi-square testGoodness-of-fit chi-square test statistical software Visual Basic for Applications Mathematica Continuous Sample of Working Livesstatistical softwareGoodness-of-fit chi-square testEconometríaCategorical variable
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Improving the Representativeness of a Simple Random Sample: An Optimization Model and Its Application to the Continuous Sample of Working Lives

2020

This paper proposes an optimization model for selecting a larger subsample that improves the representativeness of a simple random sample previously obtained from a population larger than the population of interest. The problem formulation involves convex mixed-integer nonlinear programming (convex MINLP) and is, therefore, NP-hard. However, the solution is found by maximizing the size of the subsample taken from a stratified random sample with proportional allocation and restricting it to a p-value large enough to achieve a good fit to the population of interest using Pearson&rsquo

General MathematicsPopulation0211 other engineering and technologiessubsamplingSample (statistics)02 engineering and technologyRepresentativeness heuristic:CIENCIAS ECONÓMICAS [UNESCO]Nonlinear programming0502 economics and businessStatisticsComputer Science (miscellaneous)Chi-square testchi-square testp-value050207 economicseducationEngineering (miscellaneous)Mathematicseducation.field_of_study021103 operations researchlcsh:Mathematics05 social sciencesUNESCO::CIENCIAS ECONÓMICASp-valueSimple random samplelcsh:QA1-939Stratified samplingOptimización matemáticacontinuous sample of working livesEconomía públicaoptimizationMathematics
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