Research Article

Impact of Global Value Chain Embedding on Total-Factor Energy Productivity of Chinese Industrial Sectors

Table 2

Linear test and residual nonlinear test results.

Test typesStatisticsGVCGVC_SGVC_S

Linear test:LM16.91612.33814.573
H0: r = 0(0.005)(0.030)(0.012)
H1: r = 1LMF3.2482.3172.767
(0.008)(0.045)(0.019)
LRT17.60112.69715.078
(0.003)(0.026)(0.010)
Residual nonlinear test:LM6.1186.7014.614
H0: r = 1(0.295)(0.244)(0.465)
H1: r = 2LMF1.0581.1620.793
(0.385)(0.329)(0.556)
LRT6.2046.8054.663
(0.287)(0.236)(0.458)

Note. Null hypothesis H0: r = 0, nonlinear effect. LM obeys χ2 distribution, LMF obeys F(mK, TN-N-m(K + 1)) distribution, and r is the number of transfer functions. p values in parentheses, .