Table 4 Relationship of Pupil Response magnitude to 1/f Slope.

From: Aperiodic spectral slope tracks the effects of brain state on saliency responses in the human auditory cortex

Model

Model coefficients

Fixed effect

Estimate

Adj-P-value

Aperiodic Slope (Oddball)

P ~ (S + I(S^2)) + (1|Sub)

(Intercept)

− 6.35

0.154

Slope

− 5.24

0.030*

(Slope)^2

− 0.78

0.019*

Aperiodic Slope (Standard)

P ~ S + (1|Sub)

(Intercept)

2.83

0.013*

Slope

0.74

0.009*

  1. Statistical significance (after correction for multiple comparisons): *P < 0.05, **P < 0.01, ***P < 0.001. Critical P-value after FDR correction for multiple correction (Benjamini-Hochberg) is shown. Asterisks have been removed if no longer significant after correction. Estimates reflect the modeled differences between factors within each fixed effect: P = Pupil Response Size (% of Max Change), Condition (Oddball – Standard), S = Aperiodic 1/f slope estimate, D = Delta Power Fraction, Sub = subject identifier, I = polynomial constant.