TABLE III.

Phantom pooled sample standard deviations ± pooled standard errors of sample standard deviations, from optimized SPGR/DESS scan profiles. Each entry is a measure of uncertainty of a typical voxel’s T₁ or T₂ ML estimate. For sake of brevity, sample statistics corresponding only to phantom vials within (or nearly within) tight design range 𝒳_t (color-coded orange in Fig. S.7) are reported. ‘V#’ abbreviates vial numbers. All values are reported in milliseconds.

	(2SP,1DE)	(1SP,1DE)	(0SP,2DE)
V5 ${\widehat{\sigma }}_{{\widehat{T}}_1^{\text{ML}}}({\mathbf{P}}^{\ast })$	50 ± 12	40 ± 10.	39 ± 9.4
V6 ${\widehat{\sigma }}_{{\widehat{T}}_1^{\text{ML}}}({\mathbf{P}}^{\ast })$	70 ± 18	60 ± 15	70 ± 16
V7 ${\widehat{\sigma }}_{{\widehat{T}}_1^{\text{ML}}}({\mathbf{P}}^{\ast })$	60 ± 13	50 ± 13	50 ± 13
V8 ${\widehat{\sigma }}_{{\widehat{T}}_1^{\text{ML}}}({\mathbf{P}}^{\ast })$	23 ± 5.4	20. ± 4.7	18 ± 4.3

	(2SP,1DE)	(1SP,1DE)	(0SP,2DE)
V5 ${\widehat{\sigma }}_{{\widehat{T}}_2^{\text{ML}}}({\mathbf{P}}^{\ast })$	2.6 ± 0.63	6 ± 1.4	3.5 ± 0.84
V6 ${\widehat{\sigma }}_{{\widehat{T}}_2^{\text{ML}}}({\mathbf{P}}^{\ast })$	1.9 ± 0.46	5 ± 1.1	2.3 ± 0.54
V7 ${\widehat{\sigma }}_{{\widehat{T}}_2^{\text{ML}}}({\mathbf{P}}^{\ast })$	1.4 ± 0.34	3.4 ± 0.80	1.5 ± 0.35
V8 ${\widehat{\sigma }}_{{\widehat{T}}_2^{\text{ML}}}({\mathbf{P}}^{\ast })$	1.1 ± 0.26	3.5 ± 0.84	1.4 ± 0.33