Interpret the Estimated Beta1 Value — interpret

Classifies the pcov-to-variance power-law exponent into interpretable regimes based on the estimated beta1 and its credible interval.

Usage

interpret_beta1(beta1, beta1_lo = NA_real_, beta1_hi = NA_real_)

Arguments

beta1: Numeric: estimated beta1 (gamma_1 from the log-scale model).
beta1_lo: Numeric: lower bound of 95\ Default NA_real_.
beta1_hi: Numeric: upper bound of 95\ Default NA_real_.

Value

Character string describing the precision weighting regime:

"not identified (uniform precision)": beta1 is NA
"near-uniform weights": beta1 < 0.2
"compressed precision weighting": 0.2 <= beta1 < 0.8
"calibrated (pcov ~ residual SD)": CI contained within 0.8 to 1.2
"amplified precision weighting": beta1 > 1.2
"moderate precision weighting": all other cases

Details

The theoretical prediction from the delta method applied to the 4PL calibration curve is beta1 = 1 (pcov is a direct proxy for residual SD on the log10-concentration scale). Departures from 1 indicate that the assay's measurement precision maps to residual variance with a different power than theory predicts.

Examples

interpret_beta1(0.98, 0.85, 1.12)
#> [1] "calibrated (pcov ~ residual SD)"
interpret_beta1(2.01, 1.47, 2.57)
#> [1] "amplified precision weighting"
interpret_beta1(0.56, 0.30, 0.82)
#> [1] "compressed precision weighting"