Skip to main content
. 2020 Jul 4;27(30):38287–38299. doi: 10.1007/s11356-020-09859-x

Table 5.

Short- and long-run estimates and diagnostic statistics of nonlinear ARDL

Malaysia UAE Thailand Indonesia Turkey Iran Saudi Arabia Japan India China
Panel A: short-run estimates
  ΔGexpt+ − 0.119** (1.990) − 0.217** (2.910) 0.332** (2.191) 0.482** (4.170) − 0.168 (1.300) 0.170** (2.010) − 0.006 (1.110) − 0.402** (4.460) 0.471** (5.970) − 0.572** (2.460)
  ΔGexpt − 1+ 0.131 (1.600) − 0.253** (2.370) 0.101 (1.480) − 0.099 (1.630) 0.280** (2.630) − 0.275* (1.870)
  ΔGexpt − 2+ 0.063 −0.287**
(0.990) (2.600)
  ΔGexpt − 0.082 (1.190) 0.302** (2.000) − 0.178** (1.991) − 0.082 (1.040) 0.072 (1.080) − 0.052** (3.000) 0.044 (0.990) 0.095** (2.290) − 0.144* (1.710) 0.147 (1.340)
  ΔGexpt − 1 0.293** (4.310) 0.095 (1.420) 0.007 (1.130) 0.082 (1.400) 0.067* (1.930)
  ΔGexpt − 2 0.143* (1.750) 0.154** (1.980)
  ΔGrevt+ − 0.093 (1.470) 0.007 (1.370) 0.168 (1.570) 0.300** (2.250) 0.326** (2.590) 0.095** (2.830) − 0.271** (3.090) − 0.321** (4.880) 0.226** (2.390) − 0.279** (2.620)
  ΔGrevt − 1+ − 0.203** (2.070) − 0.081* (1.910) 0.283** (2.670) − 0.134* (1.850) 0.309** (2.280)
  ΔGrevt − 2+ − 0.112** (2.300) 0.355** (4.100) 0.073 (0.660)
  ΔGrevt 0.183 (0.880) 0.106* (1.770) − 0.082** (2.060) 0.127* (1.760) − 0.247** (1.990) − 0.074** (4.510) 0.078** (2.170) 0.163** (2.780) − 0.033 (1.410) 0.222 (0.940)
  ΔGrevt − 1 0.082 (1.010) 0.027 (1.040) − 0.086* (1.750) 0.096 (0.600)
  ΔGrevt − 2 0.045
(0.820)
  ΔEGt 0.271** (2.580) 0.663** (3.210) 0.700** (5.850) 0.374** (2.430) 0.418** (2.520) 0.293* (1.950) 0.688** (4.370) 0.601** (5.080) 0.727** (6.030) 0.449** (3.180)
  ΔEGt − 1 0.203* (1.890) 0.509** (5.330)
Panel B: long-run estimates
  Gexp+ 0.172* (1.730) 0.231** (2.840) 0.307** (2.301) 0.471* (1.710) 0.178** (2.160) 0.093** (3.980) − 0.244 (1.590) − 0.352** (4.120) 0.366** (5.370) 0.188** (2.240)
  Gexp − 0.062 (1.110) − 0.181* (1.740) − 0.092** (1.990) − 0.280** (2.530) − 0.042** (2.800) − 0.031 (1.500) 0.099 (1.138) 0.174** (2.030) − 0.178* (1.940) 0.106 (0.970)
  Grev+ 0.281** (2.440) 0.043** (2.110) 0.226** (2.480) 0.236** (3.750) 0.266** (2.330) 0.138** (3.130) − 0.155 (0.920) − 0.260* (1.710) 0.208** (2.170) 0.207** (5.630)
  Grev − 0.100** (3.010) − 0.008* (1.700) − 0.115** (3.550) − 0.154** (1.960) − 0.088 (1.610) − 0.012** (2.100) 0.074 (1.330) 0.095** (3.650) − 0.013 (1.070) − 0.083* (1.740)
  EG 0.381** (4.010) 0.492** (4.010) 0.410** (6.920) 0.499** (2.180) 0.552** (4.070) 0.522** (5.880) 0.571** (3.360) 0.628** (2.080) 0.881** (2.480) 0.391** (2.850)
  C 6.911** (2.990) 7.021** (3.650) 11.06** (4.940) 5.832** (4.500) 8.091** (3.860) 7.443** (4.270) 7.992** (4.930) 9.043** (5.770) 7.112** (6.270) 5.061** (4.610)
Panel C: diagnostic tests
  Adj R2 0.97 0.98 0.99 0.99 0.99 0.99 0.99 0.98 0.99 0.99
  ECM − 0.473**(2.88) − 0.633**(4.01) − 0.815**(3.34) − 0.406**(2.74) − 0.701**(3.90) − 0.537**(4.58) − 0.737**(3.99) − 0.800**(5.00) − 0.501**(2.38) − 0.916**(5.34)
  LM 1.06 1.20 0.81 1.50 0.78 1.64 1.19 0.70 1.46 0.87
  LM test with one break 1.47 1.11 2.49 1.45 1.76 2.01 0.04 0.82 0.77 1.59
  RESET 0.63 0.86 0.90 1.47 1.36 0.97 1.20 1.64 0.94 0.39
  CUSUM S S US S S S S S S S
  CUSUMQ S S S S S US S S S S
  WALD LR-  Gexp 1.503 3.544* 0.700 3.822* 4.400** 3.442* 3.141* 3.532* 2.454 2.221
  WALD SR-Gexp 2.141 1.875 3.860** 1.707 0.532 2.583 3.843** 2.508 1.071 3.102*
  WALD LR-Grev 2.729* 3.951** 2.431 3.370* 1.530 1.053 1.001 3.489* 2.632 1.005
  WALD SR-Grev 3.055* 0.012 3.114* 0.916 2.238 4.116** 1.622 0.163 3.999** 2.385*

The critical value of t-ratio is the significance level at the (10%) and (5%) level is (1.64) and (1.96). * and ** denote 10% and 5% level of significance, respectively. T-ratio is given in parentheses. The critical values of RESET, LM, and Wald tests at the 10% level of significance is 2.70 and at 5% level 3.84