Interval-Based Hypothesis Testing and Its Applications to Economics and Finance

This paper presents a brief review of interval-based hypothesis testing, widely used in bio-statistics, medical science, and psychology, namely, tests for minimum-effect, equivalence, and non-inferiority. We present the methods in the contexts of a one-sample <i>t</i>-test and a test for...

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Main Authors: Jae H. Kim, Andrew P. Robinson
Format: Article
Language:English
Published: MDPI AG 2019-05-01
Series:Econometrics
Subjects:
Online Access:https://www.mdpi.com/2225-1146/7/2/21
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author Jae H. Kim
Andrew P. Robinson
author_facet Jae H. Kim
Andrew P. Robinson
author_sort Jae H. Kim
collection DOAJ
description This paper presents a brief review of interval-based hypothesis testing, widely used in bio-statistics, medical science, and psychology, namely, tests for minimum-effect, equivalence, and non-inferiority. We present the methods in the contexts of a one-sample <i>t</i>-test and a test for linear restrictions in a regression. We present applications in testing for market efficiency, validity of asset-pricing models, and persistence of economic time series. We argue that, from the point of view of economics and finance, interval-based hypothesis testing provides more sensible inferential outcomes than those based on point-null hypothesis. We propose that interval-based tests be routinely employed in empirical research in business, as an alternative to point null hypothesis testing, especially in the new era of big data.
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spelling doaj.art-b4bc2810dc62408cac2e9026dbecc5912022-12-22T04:10:30ZengMDPI AGEconometrics2225-11462019-05-01722110.3390/econometrics7020021econometrics7020021Interval-Based Hypothesis Testing and Its Applications to Economics and FinanceJae H. Kim0Andrew P. Robinson1Department of Economics and Finance, La Trobe University, Bundoora, VIC 3086, AustraliaSchool of Mathematics and Statistics, University of Melbourne, Parkville, VIC 3010, AustraliaThis paper presents a brief review of interval-based hypothesis testing, widely used in bio-statistics, medical science, and psychology, namely, tests for minimum-effect, equivalence, and non-inferiority. We present the methods in the contexts of a one-sample <i>t</i>-test and a test for linear restrictions in a regression. We present applications in testing for market efficiency, validity of asset-pricing models, and persistence of economic time series. We argue that, from the point of view of economics and finance, interval-based hypothesis testing provides more sensible inferential outcomes than those based on point-null hypothesis. We propose that interval-based tests be routinely employed in empirical research in business, as an alternative to point null hypothesis testing, especially in the new era of big data.https://www.mdpi.com/2225-1146/7/2/21equivalenceminimum-effectnon-inferioritypoint-null hypothesis testingzero probability paradox
spellingShingle Jae H. Kim
Andrew P. Robinson
Interval-Based Hypothesis Testing and Its Applications to Economics and Finance
Econometrics
equivalence
minimum-effect
non-inferiority
point-null hypothesis testing
zero probability paradox
title Interval-Based Hypothesis Testing and Its Applications to Economics and Finance
title_full Interval-Based Hypothesis Testing and Its Applications to Economics and Finance
title_fullStr Interval-Based Hypothesis Testing and Its Applications to Economics and Finance
title_full_unstemmed Interval-Based Hypothesis Testing and Its Applications to Economics and Finance
title_short Interval-Based Hypothesis Testing and Its Applications to Economics and Finance
title_sort interval based hypothesis testing and its applications to economics and finance
topic equivalence
minimum-effect
non-inferiority
point-null hypothesis testing
zero probability paradox
url https://www.mdpi.com/2225-1146/7/2/21
work_keys_str_mv AT jaehkim intervalbasedhypothesistestinganditsapplicationstoeconomicsandfinance
AT andrewprobinson intervalbasedhypothesistestinganditsapplicationstoeconomicsandfinance