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. Author manuscript; available in PMC: 2013 Jun 4.
Published in final edited form as: Am J Kidney Dis. 2010 Jul;56(1):39–49. doi: 10.1053/j.ajkd.2010.02.347

Table 2.

Accuracy of models for estimating reference mGFRs for all observations and for consistent mGFRs only

MDRD Study AASK MDRD Study + AASK
1-P30 RMSE 1-P30 RMSE 1-P30 RMSE
All GFRs Consiste
nt
mGFRs^
All
GFRs
Consisten
t mGFRs^
All GFRs Consisten
t mGFRs^
All GFRs Consiste
nt
mGFRs^
All GFRs Consiste
nt
mGFRs^
All GFRs Consisten
t mGFRs^
Single mGFR as reference test
Sample Size 1046 906 1046 906 949 840 949 840 1995 1746 1995 1746
MDRD Study eqn* 8.8% 7.6%,b 0.180 0.174,b 15.8% 14.9% 0.193 0.186 12.1% 11.1%,b 0.196 0.188,b
CKD-EPI SCysC eqn** 17.2% 14.7%‡‡,b 0.219 0.209,b 17.2% 15.4%‡‡,b 0.196 0.190 17.1% 15.0%‡‡,b 0.223 0.211,b
CKD-EPI SCr & SCysC eqn*** 6.7% 4.7%‡‡,b 0.165 0.157,b 10.1% 8.8%,b 0.173 0.163 8.3% 6.7%‡‡,b 0.180 0.169‡‡,b
Prerandomization mGFR eqn 8.9% ---1 0.170 ---1 6.9% ---1 0.146 ---1 8.0% ---1 0.167 ---1
Average of 2 mGFRs as reference test
Sample Size 1046 906 1046 906 949 840 949 840 1995 1746 1995 1746
MDRD Study eqn 9.1% 7.7%‡‡,b 0.173,a 0.168,a 14.6% 13.5%,b 0.188 0.184,b 11.7% 10.5%‡‡,b 0.186††,a 0.181††,a,,b
CKD-EPI SCysC eqn 13.7%††,a 13.1%,a 0.201††,a 0.198††,a 15.4%,a 14.3%,b 0.193 0.190 14.5%††,a 13.7%,a,
,b
0.206††,a 0.203††,a,,b
CKD-EPI SCr & SCysC eqn 5.3%,a 4.3%,b 0.155††,a 0.149††,a,,
b
8.3%,a 7.0%,a,‡‡,b 0.166,a 0.160,b 6.7%,a 5.6%,a,‡‡,b 0.166††,a 0.160††,a,‡‡,
b
Average of 3 mGFRs as reference test
Sample Size 764 632 764 632 504 341 504 341 1268 973 1268 973
MDRD Study eqn 6.9% 5.4%,b 0.162,a 0.155,b 14.7% 12.9% 0.189 0.176 10.0% 8.0%‡‡,b 0.179,a 0.168,b
CKD-EPI SCysC eqn 12.0% 11.4% 0.187,a 0.181,a 15.7% 14.7% 0.197 0.186 13.5% 12.5% 0.196††,a 0.189
CKD-EPI SCr & SCysC eqn 4.2% 3.3%,b 0.144,a 0.136,a,,b 7.9% 5.0%,a,,b 0.168 0.149 5.7% 3.9%‡‡,b 0.159††,a 0.146,a,,b
1

Biased estimate because the pre-randomization mGFR (non-reference visit) was also used to define consistent GFRs.

p< 0.05

††

p< 0.001

a

P values measured in a paired test compared to the same model when a single mGFR is used as the reference in the same population sample. 1-P30 tested using McNemar chisquare for paired proportions (for example using the CKD-EPI SCysC equation model in the combined population, 1-P30=14.5% when the average of 2 mGFRs is the reference test versus 17.1% when single mGFR is the reference test [p<0.0001]; when using the CKD-EPI SCysC model in the combined population, 1-P30=13.5% when the average of 3 mGFRs is the reference test versus 10.6% in the CKD-EPI SCysC model limited to the 1268 participants with 3 GFRs and for which a single mGFR is the reference test [P=0.07]). RMSE tested using paired t-test of the squared residuals

p< 0.05

‡‡

p< 0.001

b

Comparison of individuals with consistent and inconsistent mGFRs. 1-P30 tested using chi-square (for example, when the average of 2 mGFRs is the reference test, using the CKD-EPI SCysC equation model in the combined population, 1-P30=13.7% when limited to the 1746 with consistent mGFRs versus 20.1% in the 249 participants with the inconsistent GFRs [p=0.02], leading to an overall 1-P30 of 14.5% in all GFRs). RMSE tested using unpaired t-test of the squared residuals. Symbols are placed in the consistent mGFRs’ column.

*

The MDRD Study equation is eGFRMDRD =175×standardized Scr −1.154×age−0.203×1.212[if black]×0.742[if female]

**

CKD-EPI SCysC equation is eGFRCKD-EPIcys = 127.7 × SCysC−1.17 × age-0.13 × 0.91 [if female] × 1.06 [if black]

***

the CKD-EPI SCr-SCysC is eGFRCKD-EPI Scr+SCysC= 177.6 × Scr−0.65 × SCysC−0.57 × Age−0.20 × 0.82 [if female] and 1.11 [if black])

^

consistent mGFRs excludes those which differed from the reference mGFR by 25% or more

Abbreviations and definitions: eqn, equation; P30, percentage of estimated GFR within 30% of the gold standard reference test; root mean squared error (RMSE); measured glomerular filtration rate (mGFR); Modification of Diet in Renal Disease (MDRD) Study; Chronic Kidney Disease Epidemiology Collaboration (CKD-EPI); AASK, African American Study of Kidney Disease