8.2 REIG and prescription targets

The audiologist’s verification question is: does the device, in this patient’s actual ear, produce the gain the prescription algorithm requires? The measurement that answers it is the real-ear insertion gain (REIG) — the dB-by-dB difference between the patient’s aided and unaided real-ear responses, plotted against the prescription target.

2505001k2k4k8k0102030405060NAL-NL2 targetcoupler gainREIG (measured)frequency (Hz)gain (dB)fit statusOUT OF TARGETmax deviation: 14.5 dBRECD shift+0 dB(0 = adult average; +10 = small ear)per-band deviation250 Hz: +2.5 dB500 Hz: +6.3 dB1k Hz: +9.3 dB1.5k Hz: +6.3 dB2k Hz: +4.8 dB3k Hz: -3.3 dB4k Hz: -5.0 dB6k Hz: -7.5 dB8k Hz: -14.5 dB
audiogram:
coupler gain:

The audiogram (left input row) drives a NAL-NL2-like prescription target (green dashed) that the audiologist is trying to hit at each audiometric frequency. The manufacturer's coupler-gain spec (brown) is what the device delivers into a standardised 2cc coupler — *not* into a real ear. The actual real-ear insertion gain (red, the REIG) differs from coupler gain by the patient's RECD (small ears amplify high frequencies more than the coupler does) and by ear-canal resonance effects. The audiologist's goal in REM verification: bring REIG within ±5 dB of target across the audiometric range. Adjust the device's programmed gain until the red curve sits inside the green band. Without REM, the audiologist is fitting blind — applying the manufacturer's coupler spec to an ear it does not match.

What REIG is

The REIG at each frequency is

REIG(f)=REAR(f)REUR(f),\text{REIG}(f) = \text{REAR}(f) - \text{REUR}(f),

where REAR is the real-ear aided response (probe-tube SPL with the device on) and REUR is the real-ear unaided response (probe-tube SPL with the ear empty). REIG is therefore how much extra SPL the device delivers at this patient’s eardrum, beyond what the patient’s natural ear was doing on its own.

REIG is independent of:

REIG depends only on:

This is what makes REIG the clinically appropriate verification quantity: it measures what the device adds, normalised away from individual ear-canal differences that the manufacturer can’t predict from the spec sheet alone.

Prescription targets

The prescription target is the REIG (or, increasingly, the REAR at calibrated input levels) the algorithm computes for this patient at this audiometric configuration. NAL-NL2 and DSL v5 differ in their philosophies (see Lesson 7.2), but both produce per-frequency targets at three input levels:

A modern REM system measures REAR at the three input levels in quick succession and compares each to the corresponding target. A good fitting shows REIG within ±5 dB of target at every audiometric frequency (250, 500, 1000, 1500, 2000, 3000, 4000, 6000 Hz) at every input level.

NAL-NL2 vs DSL v5 in detail

NAL-NL2 prescribes less low-frequency gain than DSL v5 for the same audiogram, on the principle that low-frequency gain disproportionately raises perceived loudness without contributing to intelligibility (low-frequency speech components are not the most information-dense). NAL-NL2’s targets at 500 Hz might be 10 dB lower than DSL v5’s; at 4 kHz they might be similar.

DSL v5 prescribes more low-frequency gain on the principle of audibility — making the long-term average speech spectrum (LTASS) audible across the full audiometric range. DSL v5 also has explicit pediatric variants that prescribe more gain than the adult version, reflecting the evidence that audibility during language acquisition matters more than loudness normalisation.

The clinical default in US practice:

Both algorithms are non-proprietary; both are implemented in essentially every hearing-aid fitting software. The choice between them is a clinical judgment, not a technological constraint.

Targets at non-standard frequencies

Modern REM systems target at audiometric frequencies (octave and inter-octave: 250, 500, 1000, 1500, 2000, 3000, 4000, 6000, 8000 Hz) because that’s what the audiogram is measured at. Hearing aids deliver gain at all frequencies (not just at the audiometric frequencies); the actual gain curve is a smooth function determined by the device’s filterbank. A clinically good fitting matches the target at every measured audiometric frequency and the in-between frequencies follow a smooth interpolation — meaning the audiologist should look at the shape of the REIG curve as well as the per-frequency match, ensuring no narrow notches or spikes.

The ±5 dB match criterion

Why ±5 dB? Three reasons:

  1. Within-patient variability of REM measurements is about ±2 dB per frequency (test-retest, same audiologist, same patient, different sessions). Sub-5 dB precision is achievable but the practical precision of any hearing-aid fitting is limited at this level.
  2. Behavioural noticeability of gain changes is about 5 dB across most of the audiometric range. A patient cannot reliably distinguish a 3 dB gain difference; they can distinguish a 5 dB difference; they readily notice 10 dB differences. Tolerating ±5 dB of fitting error keeps the patient’s perception within the just-noticeable region of optimal.
  3. Clinical outcomes data (Aazh and Moore 2007, Valente et al. 2018) show that fittings within ±5 dB of NAL-NL2 across the audiometric range produce significantly better speech-in-noise outcomes and aided-listening satisfaction than fittings with larger deviations.

A fitting that is within ±5 dB at 6 of 8 frequencies but >10 dB off at one frequency is not a verified fitting — it’s a fitting with a localised deviation that needs adjustment. The ±5 dB criterion is per-frequency, not aggregate.

What deviation patterns mean

Deviations from target, viewed as a function of frequency, often have characteristic clinical interpretations:

The diagnostic skill of REM is reading these patterns and adjusting the device gain (per-channel, per-input-level) to bring the REIG into target. A practiced audiologist can do a full bilateral REM verification of soft, average, and loud inputs in 10–15 minutes.

Next lesson: the standard verification workflow, common deviations, and how REM integrates with the broader hearing-aid fitting process.