borderline significancep = 0.059
The exploratory quadratic-term analysis for PTA at 8 kHz showed borderline significance for both the centered linear altitude term (β = 4.50, p = 0.059) and the quadratic term (β = −5.64, p = 0.061), suggesting that the relationship between residential altitude and PTA at 8 kHz may not be simply linear and may instead be non-monotonic ( Supplementary Figure S1 ; Supplementary Table S1 ).