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Spectral change or Jensen gap? Log-ratio baseline correction for time-frequency M/EEG is negatively biased
Isaac Kinley1, Reece P Roberts2, Jed A Meltzer3
1Rotman Research Institute, Baycrest Academy for Research and Education, North York, Canada.
Log-ratio baseline correction in M/EEG data introduces negative bias, falsely indicating decreased spectral power. An alternative "mean-log-ratio" method provides an unbiased approach for accurate spectral change analysis.
Area of Science:
- Neuroscience
- Signal Processing
Background:
- Time-frequency analysis of M/EEG data commonly uses baseline correction to assess spectral changes.
- Log-ratio baseline correction, widely used in software, divides spectral power by baseline power and log-transforms the ratio.
Purpose of the Study:
- To identify and address the negative bias inherent in log-ratio baseline correction.
- To propose and validate an unbiased alternative for M/EEG spectral analysis.
Main Methods:
- Introduced a
- mean-log-ratio
- correction method by subtracting mean log-transformed baseline power from target window log-transformed power.
- Evaluated methods using real and simulated M/EEG data.
Main Results:
- Log-ratio correction demonstrated a negative bias, misrepresenting true spectral power increases as decreases.
- This bias was observed across different software implementations.
- The proposed mean-log-ratio method and simple mean-subtraction correction did not exhibit bias.
Conclusions:
- Log-ratio baseline correction is not recommended due to its inherent negative bias.
- The mean-log-ratio correction offers a viable, unbiased alternative for M/EEG spectral analysis.
- Accurate baseline correction is crucial for reliable interpretation of M/EEG results.
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