Hybrid Neutrosophic Regression ANOVA (HNRA): An Uncertainty-Aware Statistical Inference Framework Under Measurement Imprecision
This paper introduces Hybrid Neutrosophic Regression ANOVA (HNRA), a novel statistical framework that models measurement imprecision as neutrosophic intervals to provide a bounded, uncertainty-aware decomposition of sums of squares and a formally guaranteed F-statistic, thereby extending classical regression ANOVA to scenarios with instrument calibration errors and biological variability without requiring prior distributional assumptions.