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. 2015 May 19;10(5):e0126158. doi: 10.1371/journal.pone.0126158

Table 6. The values of SCC, SCI, PSCC and determination coefficients of the 29 Chinese regions (2000–2013).

Year 2000 2005 2006 2007 2008 2009 2010 2011 2012 2013
SCC R 0 0.9142 0.9451 0.9447 0.9470 0.9523 0.9512 0.9577 0.9520 0.9457 0.9428
SCI R c 0.0995 0.1382 0.1409 0.1415 0.1521 0.1550 0.1566 0.1575 0.1566 0.1556
PSCC R p 0.8147 0.8068 0.8038 0.8056 0.8001 0.7962 0.8011 0.7945 0.7891 0.7872
R 2 (x-y) 0.1704 0.2940 0.3031 0.3015 0.3431 0.3499 0.3750 0.3756 0.3710 0.3623
R 2 (y-x) 0.1540 0.2450 0.2544 0.2576 0.2846 0.2975 0.3056 0.3133 0.3139 0.3189
R 2 (x-y)+ R 2 (y-x) 0.3244 0.5391 0.5575 0.5591 0.6277 0.6474 0.6807 0.6889 0.6848 0.6813
F (x-y) 5.7531 11.6628 12.1773 12.0834 14.6235 15.0728 16.8033 16.8437 16.5136 15.9081
δ (x-y) 0.0415 0.0405 0.0404 0.0407 0.0398 0.0399 0.0382 0.0384 0.0385 0.0390
P (x-y) 0.0234 0.0020 0.0016 0.0017 0.0007 0.0006 0.0003 0.0003 0.0004 0.0004
F (y-x) 5.0965 9.0879 9.5518 9.7173 11.1373 11.8579 12.3233 12.7729 12.8075 13.1127
δ (y-x) 0.0441 0.0459 0.0456 0.0454 0.0456 0.0450 0.0446 0.0441 0.0438 0.0430
P (y-x) 0.0320 0.0054 0.0045 0.0042 0.0024 0.0018 0.0015 0.0013 0.0013 0.0011

Note: The statistical data of the level of urbanization from 2001 to 2004 are absent in the website of China’s NBS. The statistic R 2 (x-y) denotes the goodness of fit for the regression of nWy depending on x, and R 2 (y-x) refers to the goodness of fit for the regression of nWx depending on y. Based on the R 2 values, the F statistics, t statistics, and parameter standard errors δ can be calculated with the formulae such as F = t 2 = (n-1)R 2/(1-R 2) and δ = R c[(1/R 2-1)/(n-1)]1/2. Further, the significance, P, can be reckoned using the F distribution function of MS Excel.