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. 2011 Sep;179(3):1373–1384. doi: 10.1016/j.ajpath.2011.05.047

Table 3.

Summary of the Results from the AD and Control Cohorts

Variable AD cohort (n = 91)
AD + CTRL with plaques (n = 101)
AD + all CTRL (n = 106)
Linear One-phase exponential Linear One-phase exponential Linear One-phase exponential
Cortical thickness (μm)
 ΔAICc 1.804 NA NA
 Probability (%) 71.13 28.87 100 Not converged 100 Not converged
 Goodness (R2) 0.1797 0.1831 0.2130 NA 0.2296 NA
 Slope ≠ 0? (P) <0.0001 NA <0.0001 NA <0.0001 NA
 Spearman's r −0.3977 NA −0.4523 NA −0.4649 NA
 Spearman′s P <0.0001 NA <0.0001 NA <0.0001 NA
Amyloid burden (%)
 ΔAICc 4.347 10.83 18.23
 Probability (%) 10.22 89.78 0.44 99.56 0.01 99.99
 Goodness (R2) 0.0657 0.1093 0.2317 0.3099 0.3117 0.4205
 Slope ≠ 0? (P) 0.0142 NA <0.0001 NA <0.0001 NA
Total amyloid plaques
 ΔAICc 1.761 11.96 21.72
 Probability (%) 29.31 70.69 0.25 99.75 <0.01 >99.99
 Goodness (R2) 0.0391 0.0575 0.2101 0.2983 0.2952 0.4258
 Slope ≠ 0? (P) 0.0602 NA <0.0001 NA <0.0001 NA
Total astrocytes
 ΔAICc 0.7545 3.005 3.953
 Probability (%) 59.32 40.68 81.80 18.20 87.83 12.17
 Goodness (R2) 0.1951 0.1884 0.2433 0.2204 0.2705 0.2428
 Slope ≠ 0? (P) <0.0001 NA <0.0001 NA <0.0001 NA
 Spearman's r 0.4070 NA 0.5037 NA 0.5471 NA
 Spearman's P <0.0001 NA <0.0001 NA <0.0001 NA
Total microglia
 ΔAICc 5.171 33.18 42.25
 Probability (%) 92.99 7.01 >99.99 <0.01 >99.99 <0.01
 Goodness (R2) 0.0960 0.0431 0.1728 −0.1489 0.2109 −0.1755
 Slope ≠ 0? (P) 0.0028 NA <0.0001 NA <0.0001 NA
 Spearman's r 0.3545 NA 0.4326 NA 0.4728 NA
 Spearman's P 0.0006 NA <0.0001 NA <0.0001 NA

The probability of being correct and the goodness of fit (R2) of both the linear regression and the one-phase exponential association models (or decay, in the case of cortical thickness) are shown for the main neuropathological measures in the AD cohort alone, the AD cohort plus the controls without dementia and with plaques, and the AD cohort plus the entire control cohort. The best-fit model is boldfaced. In the linear regression model, P indicates whether the slope is significantly different from 0. When the linear regression model was the preferred-fit model, the correlation coefficient and the P value from the Spearman's rank correlation test are also shown. For the amyloid burden and the total number of amyloid plaques, the nonlinear model remains the best fit, despite the linear fit yielding a straight line with a slope significantly different from 0 (because of the anchoring effect of controls close to 0). Also, the R2 of the one-phase exponential association model is negative for some neuropathological measures, indicating that the best-fit curve fits the data even worse than a horizontal line. Statistics in Materials and Methods provides further details.

ΔAICc, magnitude of the difference between both fit models; CTRL, control without dementia; NA, not applicable.