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Updated: May 19, 2026

Neuro-rehabilitation Approach for Sudden Sensorineural Hearing Loss
Published on: January 25, 2016
[Two formulas for exact calculation of hearing loss for numbers]
T Braun1, M Wimmer, J M Hempel
1Klinik und Poliklinik für Hals-Nasen-Ohrenheilkunde, Ludwig-Maximilians-Universität München, Deutschland. thomas.braun@med.uni-muenchen.de
This study introduces two new formulas for precisely calculating hearing loss for numbers using speech audiometry data. These formulas offer an exact mathematical alternative to traditional graphical methods, improving accuracy in audiological assessments.
Area of Science:
- Audiology
- Speech Perception
- Hearing Loss Assessment
Background:
- Hearing loss for numbers is crucial in German audiology for calculating speech audiometry loss and validating pure-tone thresholds.
- Current practice relies on graphical estimation from speech audiograms, which can be imprecise.
- A need exists for a more accurate, mathematical method to determine hearing loss for numbers.
Purpose of the Study:
- To develop precise mathematical formulas for calculating hearing loss for numbers.
- To provide an exact alternative to graphical estimation methods.
- To enhance the accuracy of audiological assessments, particularly in expert evaluations.
Main Methods:
- Analytical methods based on the standard curve following DIN 45626-1 were employed.
- Two distinct formulas were derived for calculating hearing loss for numbers.
- The formulas utilize measured number intelligibility (v) at specific sound pressure levels (p).
Main Results:
- Two formulas were developed: one for two measured values and another for a single measurement.
- The formulas are applicable when number intelligibility falls between 30% and 70% for linear approximation.
- Calculated hearing loss for numbers is rounded to the nearest 5 dB, consistent with graphical methods.
Conclusions:
- The presented formulas enable exact calculation of hearing loss for numbers from Freiburg number test data.
- These mathematical formulas provide a more objective and precise method compared to graphical estimations.
- The formulas are particularly valuable in expert opinions where unambiguous results are essential.
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