Article

Statistically Significant Linear Regression Coefficients Solely Driven by Outliers in Finite-Sample Inference

2025-05-19

Abstract excerpt

In this paper, we investigate the impact of outliers on the statistical significance of coefficients in linear regression. We demonstrate, through numerical simulation using R, that a single outlier can cause an otherwise insignificant coefficient to appear statistically significant. We compare this with robust Huber regression, which reduces the effects of outliers. Afterwards, we approximate the influence of a s...

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Literature Corpus work: a3604a11-651b-53b1-afbc-b3584807983f
DOI: 10.32388/kszxtm

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