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.

Keywords

• t-test
• inference
• power of the test
• simulation
• level of significance

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