Modeling a Set of Variables with Different Attributes on a Quantitative Dependent Variable: An Application of Dichotomous Variables

This study outlines the methodology employed to model the relationship among a set of dichotomous variables, which represent attributes, on a nominal scale. The objective is to elucidate their influence on a quantitative dependent variable measured on a ratio scale. This approach allows for the quan...

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Main Authors: Gerardo Covarrubias, Xuedong Liu
Format: Article
Language:English
Published: MDPI AG 2024-07-01
Series:Engineering Proceedings
Subjects:
Online Access:https://www.mdpi.com/2673-4591/68/1/9
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author Gerardo Covarrubias
Xuedong Liu
author_facet Gerardo Covarrubias
Xuedong Liu
author_sort Gerardo Covarrubias
collection DOAJ
description This study outlines the methodology employed to model the relationship among a set of dichotomous variables, which represent attributes, on a nominal scale. The objective is to elucidate their influence on a quantitative dependent variable measured on a ratio scale. This approach allows for the quantification of the impact of these attributes and their significance in shaping the behavior of the entity possessing them. The resolution method employed for the estimation is ordinary least squares. However, it is crucial to note that interpreting the estimators in the resulting model requires a nuanced perspective, distinguishing it from the conventional interpretation of slope or rate of change in a classic model. To clarify, these estimators align with the average behavior of the dependent variable concerning binary characteristics, and the outcomes are consistent with the analysis of variance.
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spelling doaj-art-24e7a5ea56484293a54584129bc22beb2025-08-20T02:11:17ZengMDPI AGEngineering Proceedings2673-45912024-07-01681910.3390/engproc2024068009Modeling a Set of Variables with Different Attributes on a Quantitative Dependent Variable: An Application of Dichotomous VariablesGerardo Covarrubias0Xuedong Liu1Faculty of Higher Studies Aragon, National Autonomous University of Mexico, Netzahualcóyotl 57000, MexicoFaculty of Higher Studies Aragon, National Autonomous University of Mexico, Netzahualcóyotl 57000, MexicoThis study outlines the methodology employed to model the relationship among a set of dichotomous variables, which represent attributes, on a nominal scale. The objective is to elucidate their influence on a quantitative dependent variable measured on a ratio scale. This approach allows for the quantification of the impact of these attributes and their significance in shaping the behavior of the entity possessing them. The resolution method employed for the estimation is ordinary least squares. However, it is crucial to note that interpreting the estimators in the resulting model requires a nuanced perspective, distinguishing it from the conventional interpretation of slope or rate of change in a classic model. To clarify, these estimators align with the average behavior of the dependent variable concerning binary characteristics, and the outcomes are consistent with the analysis of variance.https://www.mdpi.com/2673-4591/68/1/9dichotomous variablesattributesquantitative dependent variablemodeling
spellingShingle Gerardo Covarrubias
Xuedong Liu
Modeling a Set of Variables with Different Attributes on a Quantitative Dependent Variable: An Application of Dichotomous Variables
Engineering Proceedings
dichotomous variables
attributes
quantitative dependent variable
modeling
title Modeling a Set of Variables with Different Attributes on a Quantitative Dependent Variable: An Application of Dichotomous Variables
title_full Modeling a Set of Variables with Different Attributes on a Quantitative Dependent Variable: An Application of Dichotomous Variables
title_fullStr Modeling a Set of Variables with Different Attributes on a Quantitative Dependent Variable: An Application of Dichotomous Variables
title_full_unstemmed Modeling a Set of Variables with Different Attributes on a Quantitative Dependent Variable: An Application of Dichotomous Variables
title_short Modeling a Set of Variables with Different Attributes on a Quantitative Dependent Variable: An Application of Dichotomous Variables
title_sort modeling a set of variables with different attributes on a quantitative dependent variable an application of dichotomous variables
topic dichotomous variables
attributes
quantitative dependent variable
modeling
url https://www.mdpi.com/2673-4591/68/1/9
work_keys_str_mv AT gerardocovarrubias modelingasetofvariableswithdifferentattributesonaquantitativedependentvariableanapplicationofdichotomousvariables
AT xuedongliu modelingasetofvariableswithdifferentattributesonaquantitativedependentvariableanapplicationofdichotomousvariables