Accuracy and Precision Improvement of Temperature Measurement Using Statistical Analysis/Central Limit Theorem

Francisco Antônio Belo; Manoel Brasileiro Soares; Abel Cavalcante Lima Filho; Thyago Leite de Vasconcelos Lima; Marceu Oliveira Adissi

doi:10.3390/s23063210

Accuracy and Precision Improvement of Temperature Measurement Using Statistical Analysis/Central Limit Theorem

Sensors (Basel). 2023 Mar 17;23(6):3210. doi: 10.3390/s23063210.

Authors

Francisco Antônio Belo¹, Manoel Brasileiro Soares¹, Abel Cavalcante Lima Filho², Thyago Leite de Vasconcelos Lima³, Marceu Oliveira Adissi⁴

Affiliations

¹ Research Group on Instrumentation and Control in the Study of Energy and Environment, Department of Electrical Engineering, Federal University of Paraiba, João Pessoa 58051-900, Paraiba, Brazil.
² Department of Mechanical Engineering, Federal University of Paraiba, João Pessoa 58051-900, Paraiba, Brazil.
³ Department of Electrical Engineering, Federal Institute of Paraiba, Itabaian 58100-263, Paraiba, Brazil.
⁴ Department of Electrical Engineering, Federal Institute of Paraiba, Cabedelo 58360-000, Paraiba, Brazil.

Abstract

This paper describes a method for increasing the accuracy and precision of temperature measurements of a liquid based on the central limit theorem. A thermometer immersed in a liquid exhibits a response with determined accuracy and precision. This measurement is integrated with an instrumentation and control system that imposes the behavioral conditions of the central limit theorem (CLT). The oversampling method exhibited an increasing measurement resolution. Through periodic sampling of large groups, an increase in the accuracy and formula of the increase in precision is developed. A measurement group sequencing algorithm and experimental system were developed to obtain the results of this system. Hundreds of thousands of experimental results are obtained and seem to demonstrate the proposed idea's validity.

Keywords: accuracy improvement; central limit theorem; temperature measurement.

Grants and funding

This research was supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) and Fundação de Apoio à Pesquisa do Estado da Paraíba (FAPESQ).