Cramér-Rao Lower Bounds (CRLBs) have become the routine method to approximate standard deviations for magnetic resonance spectroscopy. CRLBs are theoretically a lower bound on the standard deviation. Realistic synthetic 3 Tesla spectra were used to investigate the relationship between estimated CRLBs, true CRLBs and standard deviations. It was demonstrated that although the CRLBs are theoretically truly a lower bound on the standard deviation this approximation is valid only as long as the model properly characterizes the data. In the case when the basis set deviates from the measured data it was shown that the CRLBs deviate substantially from standard deviations.
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