Abstract #3002

# The use of weighted averaging in spectroscopy studies improves statistical power

Jack Julian James Jenkins Miller1,2,3, Lowri E Cochlin1,4, Damian John Tyler1,2, and Kieran Clarke1

1Department of Physiology, Anatomy & Genetics, University of Oxford, Oxford, United Kingdom, 2Oxford Centre for Clinical Magnetic Resonance Research, University of Oxford, Oxford, United Kingdom, 3Department of Physics, University of Oxford, Oxford, United Kingdom, 4PulseTeq Limited, Surrey, United Kingdom

In vivo MR spectroscopy is often characterised by a spectral signal-to-noise ratio (SNR) that varies highly between experiments, particularly when investigating non-proton nuclei. A common design for spectroscopic studies is to compare the ratio of two spectral peak amplitudes between groups, e.g. individual PCr/$$\gamma$$$-ATP ratios in phosphorus MRS, or bicarbonate-to-pyruvate ratios in hyperpolarized $$^{13}$$$C MRS. The uncertainty on this ratio is often neglected. We show that the correct propagation of this uncertainty improves statistical power.

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