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The Mann–Whitney-Wilcoxon test shows that the E2SFCA measure is greater in median than the optimization composite measure with p-values less than 10−6 for small and medium counties, and 2.02 × 10−2 for large counties.
The F-test shows that for all groups of counties, the variance of the E2SFCA measure is higher (with p-value 1.88 × 10−4 for small counties, value less than 10−6 for medium counties, and 3.90 × 10−2 for large counties.
A pairwise t-test (1-tail) shows that for counties with more than 50 CF patients (127 "large" counties) or less than 5 CF patients (1289 "small" counties), the measure from the E2SFCA method is significantly higher than measures from the optimization method (respectively, with p-values 0.20 × 10−6 and 2.00 × 10−2); for counties of other sizes ("medium" counties), the test is inconclusive.
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