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Hacettepe Journal of Mathematics and Statistics
Article . 2024 . Peer-reviewed
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The t-test of a regression coefficient for imprecise data

Authors: Muhammad Aslam;

The t-test of a regression coefficient for imprecise data

Abstract

The existing t-test for testing the significance of the regression coefficient is applied when cent percent observations of the data are precise, exact and certain. In practice, the measurement data or data recorded in an uncertain environment do not have all precise observations. The imprecise data cannot be analyzed using the existing t-test for testing the significance of the regression coefficient. In this paper, we will present the design of a t-test for testing the significance of the regression coefficient under neutrosophic statistics. The proposed t-test for testing the significance of the regression coefficient can be applied to imprecise data. The effect of the degree of uncertainty on the power of the test will be studied. The proposed t-test for testing the significance of the regression coefficient will be applied using the imprecise data. From the analysis, it is concluded that the proposed t-test for testing the significance of the regression coefficient will be informative, flexible and adequate to be applied to imprecise data.

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Keywords

t-test;inference;power of the test;simulation;level of significance, Forensic Evaluation, Inference and Statistics, Büyük ve Karmaşık Veri Teorisi, Adli Değerlendirme, Çıkarım ve İstatistik, Large and Complex Data Theory, Esnek Hesaplama, Soft Computing

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Top 10%
Average
Top 10%
gold