Toward the Applicability of Statistics: A Representational View

The problem of understanding how statistical inference is, and can be, applied in  empirical sciences is important for the methodology of science. It is the objective of this paper  to gain a better understanding of the role of statistical methods in scientific modeling. The  important question of w...

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Main Authors: Mahdi Ashoori, S. Mahmoud Taheri
Format: Article
Language:English
Published: Universidade Federal de Santa Catarina 2019-04-01
Series:Principia: An International Journal of Epistemology
Subjects:
Online Access:https://periodicos.ufsc.br/index.php/principia/article/view/50386
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author Mahdi Ashoori
S. Mahmoud Taheri
author_facet Mahdi Ashoori
S. Mahmoud Taheri
author_sort Mahdi Ashoori
collection DOAJ
description The problem of understanding how statistical inference is, and can be, applied in  empirical sciences is important for the methodology of science. It is the objective of this paper  to gain a better understanding of the role of statistical methods in scientific modeling. The  important question of whether the applicability reduces to the representational properties  of statistical models is discussed. It will be shown that while the answer to this question  is positive, representation in statistical models is not purely structural. In spite of the fact  that representation in statistical models is based on the structural similarities between the  statistical model and the empirical systems under study, these relationships are shown to be  appropriate for representing relations in the target system by agent function, too. A second  aspect of the paper involves the claim that agent-based components of statistical modeling  are: a) interpretation of random variables, b) selection of the goal of statistical research, and  c) selection of estimator properties. To justify these claims, a preliminary discussion will be  presented on the role of statistics in modeling, as in regression and other structural models.  This role will be explored and realized using a structural viewpoint. Also the role of statistical  estimation in statistical modeling is discussed to explain the representational role of models  and the inferential role of the agent in modeling.
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spelling doaj.art-95ac1342709b4cde8fde7f20cc04ecf32022-12-21T18:51:50ZengUniversidade Federal de Santa CatarinaPrincipia: An International Journal of Epistemology1414-42471808-17112019-04-0123111312910.5007/1808-1711.2019v23n1p11331984Toward the Applicability of Statistics: A Representational ViewMahdi Ashoori0S. Mahmoud Taheri1Iranian Institute of PhilosophyTehran UniversityThe problem of understanding how statistical inference is, and can be, applied in  empirical sciences is important for the methodology of science. It is the objective of this paper  to gain a better understanding of the role of statistical methods in scientific modeling. The  important question of whether the applicability reduces to the representational properties  of statistical models is discussed. It will be shown that while the answer to this question  is positive, representation in statistical models is not purely structural. In spite of the fact  that representation in statistical models is based on the structural similarities between the  statistical model and the empirical systems under study, these relationships are shown to be  appropriate for representing relations in the target system by agent function, too. A second  aspect of the paper involves the claim that agent-based components of statistical modeling  are: a) interpretation of random variables, b) selection of the goal of statistical research, and  c) selection of estimator properties. To justify these claims, a preliminary discussion will be  presented on the role of statistics in modeling, as in regression and other structural models.  This role will be explored and realized using a structural viewpoint. Also the role of statistical  estimation in statistical modeling is discussed to explain the representational role of models  and the inferential role of the agent in modeling.https://periodicos.ufsc.br/index.php/principia/article/view/50386applicabilitystatisticsscientific representationstructural modelstatistical methods
spellingShingle Mahdi Ashoori
S. Mahmoud Taheri
Toward the Applicability of Statistics: A Representational View
Principia: An International Journal of Epistemology
applicability
statistics
scientific representation
structural model
statistical methods
title Toward the Applicability of Statistics: A Representational View
title_full Toward the Applicability of Statistics: A Representational View
title_fullStr Toward the Applicability of Statistics: A Representational View
title_full_unstemmed Toward the Applicability of Statistics: A Representational View
title_short Toward the Applicability of Statistics: A Representational View
title_sort toward the applicability of statistics a representational view
topic applicability
statistics
scientific representation
structural model
statistical methods
url https://periodicos.ufsc.br/index.php/principia/article/view/50386
work_keys_str_mv AT mahdiashoori towardtheapplicabilityofstatisticsarepresentationalview
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