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. Author manuscript; available in PMC: 2008 Nov 25.
Published in final edited form as: J Cereb Blood Flow Metab. 2007 Jan 3;27(6):1262–1279. doi: 10.1038/sj.jcbfm.9600435

Table 5. Single- and multi-compartment model fits to experimental data.

In this table, we show the R-squared values (goodness-of-fit) for the model fits to the nine-stimulus conditions. Both the fits using the single- and multi-compartment models are shown. These R-squared values have been adjusted for the degrees-of-freedom in each model. For each condition, we calculated the partial R-squared value for the flow, volume and oxy-/deoxy-hemoglobin measurements (Devore 1995). This value indicates the explained model variance considering only that component of the measurements. The total R-squared indicates the fraction of the total variance accounted for by all measurements. The multi-compartment model significantly improved the fits to the data (p<8×10-5) [Z-transform/T-test; described in text]. The most notable improvements were observed in the modeling of deoxy-hemoglobin (p<8×10-6).

Stimulus Condition
1 2 3 4 5 6 7 8 9
Multi-compartment
 R2adj - HbO2 0.94 0.98 0.97 0.90 0.99 0.98 0.98 0.99 0.99
  HbR 0.81 0.98 0.98 0.95 0.96 0.98 0.97 0.99 0.98
  HbT 0.94 0.96 0.93 0.87 0.99 0.97 0.98 0.99 0.99
  CBF 0.92 0.73 0.86 0.92 0.99 0.96 0.98 0.92 0.97

  Total 0.91 0.95 0.95 0.89 0.98 0.98 0.98 0.98 0.99

Single-compartment
 R2adj - HbO2 0.94 0.96 0.93 0.85 0.98 0.97 0.95 0.98 0.98
  HbR 0.62 0.81 0.66 0.68 0.81 0.79 0.76 0.81 0.74
  HbT 0.94 0.95 0.90 0.87 0.98 0.95 0.97 0.98 0.98
  CBF 0.93 0.63 0.85 0.92 0.97 0.93 0.98 0.88 0.95

  Total 0.89 0.88 0.87 0.87 0.95 0.93 0.94 0.95 0.95