Weighted averaging in spectroscopic studies improves statistical power

In vivo MRS is often characterized by a spectral signal-to-noise ratio (SNR) that varies highly between experiments. A common design for spectroscopic studies is to compare the ratio of two spectral peak amplitudes between groups, e.g. individual PCr/γ-ATP ratios in 31 P-MRS. The uncertainty on this ratio is often neglected. We wished to explore this assumption.The canonical theory for the propagation of uncertainty on the ratio of two spectral...