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Table 4 Estimated regression coefficients and variance components for random effect model (Model 3)

From: Bayesian hierarchical analyses for entrepreneurial intention of students

 (a) Using classical approach(b) Using Bayesian approach
Coef. (Std. Err.)P > z[95% Conf. Interval]LengthMean (Std. Dev.)MCSEMedian[95% Cred. interval]Length
Fixed effect
 Student-level chxs
  Intercept0.2498 (0.0690)0.000[0.1146, 0.3850]0.27040.2451 (0.0592)0.00410.2459[0.1291, 0.3611]0.2320
  SP0.0322 (0.0876)0.713[− 0.1394, 0.2039]0.34320.0375 (0.0636)0.00580.0404[− 0.0837, 0.1594]0.2432
  GS0.5951 (0.0948)0.000[0.4093, 0.7810]0.37160.622 (0.0727)0.00930.619[0.48602, 0.7692]0.2832
  SCSE0.4139 (0.0933)0.000[0.2311, 0.5967]0.36560.401 (0.0707)0.00670.4004[0.26941, 0.5445]0.2751
  AIR0.8472 (0.0989)0.000[0.6532, 1.0410]0.38770.8487 (0.0687)0.00730.8469[0.7211, 0.9782]0.2571
  CPS0.3464 (0.0950)0.000[0.1602, 0.5327]0.37240.3873 (0.0773)0.010.3868[0.2292, 0.5327]0.3035
  IOS1.3411 (0.1203)0.000[1.1052, 1.5769]0.47171.3399 (0.055)0.01121.339[1.2348, 1.4469]0.2122
  RTC (1)0.2016 (0.2381)0.397[− 0.265, 0.6682]0.93320.2229 (0.1265)0.01120.2283[− 0.0212, 0.4651]0.4863
  CFBI (1)0.3502 (0.2005)0.081[− 0.0428, 0.7433]0.78610.3406 (0.1114)0.01580.3385[0.1397, 0.5605]0.4208
  IG (1)0.4594 (0.2376)0.053[− 0.0063, 0.9250]0.93130.4588 (0.124)0.00930.4617[0.2077, 0.7059]0.4981
  MFSB (1)1.1915 (0.4159)0.004[0.3762, 2.0068]1.63051.1868 (0.1075)0.01071.186[0.9823, 1.4027]0.4204
  (2)− 0.2700 (0.9143)0.768[− 2.0616, 1.5224]3.5841− 0.262 (0.1398)0.0263− 0.262[− 0.5344, 0.0267]0.5611
  (3)0.0563 (0.2955)0.849[− 0.5229, 0.6356]1.15850.0585 (0.1272)0.01220.0502[− 0.1599, 0.3254]0.4854
  AF (1)0.7919 (0.3114)0.011[0.1815, 1.4022]1.22070.8029 (0.0789)0.0150.8024[0.6377, 0.9566]0.3189
  BOC (1)0.0326 (0.2008)0.871[− 0.361, 0.4262]0.78720.0773 (0.1175)0.0110.0707[− 0.1306, 0.3188]0.4493
  PBE (1)0.3880 (0.1416)0.006[0.1040, 0.6600]0.55600.389 (0.1395)0.00210.000[0.1126, 0.6593]0.5467
  BOF (1)0.6088 (0.3263)0.000[0.5448, 0.6727]0.12790.6087 (0.0326)0.00040.6087[0.5450, 0.6729]0.1279
  NERK (1)− 0.3500 (0.2685)0.192[− 0.8765, 0.1760]1.0526− 0.354 (0.084)0.0132− 0.357[− 0.5166, − 0.184]0.3326
  (2)0.1893 (0.2990)0.527[− 0.3968, 0.7753]1.17210.1477 (0.1149)0.01890.1481[− 0.0858, 0.3738]0.4596
  (3)− 0.291 (0.2735)0.288[− 0.8268, 0.2451]1.0720− 0.306 (0.0952)0.0174− 0.306[− 0.4999, − 0.112]0.3879
  N_E (1)0.4943 (0.0970)0.000[0.3023, 0.6827]0.38040.4957 (0.0967)0.00090.4963[0.3043, 0.6835]0.3790
  PO (1)− 0.267 (0.3318)0.421[− 0.9171, 0.3835]1.3007− 0.25 (0.0772)0.0062− 0.253[− 0.3966, − 0.1018]0.2947
  (2)− 0.050 (0.3688)0.893[− 0.7726, 0.6731]1.4456− 0.014 (0.1141)0.0122− 0.011[− 0.2504, 0.1847]0.4352
  (3)− 0.035 (0.3668)0.923[− 0.7543, 0.6834]1.43770.0189 (0.0983)0.01370.0199[− 0.1640, 0.2092]0.3732
 University-level chxs
  EE (1)1.0426 (0.2928)0.000[0.4687, 1.6165]1.14781.0209 (0.2822)0.01431.0094[0.4943, 1.5903]1.0960
  BC (1)− 0.0042 (0.0683)0.951[− 0.1380, 0.1296]0.2676− 0.0034 (0.0671)0.0034− 0.0077[− 0.1349, 0.1281]0.2630
  ETIG (1)0.0185 (0.0689)0.788[− 0.1165, 0.1536]0.27010.0183 (0.0611)0.00280.0173[− 0.1380, 0.1015]0.2395
Random effect
 Var (intercept)0.2774 (0.0796) [0.1214, 0.4334]0.31200.2703 (0.0712)0.00150.2700[0.1307, 0.4099]0.2792
 Var (EE)0.1273 (0.0439) [0.0413, 0.2133]0.17200.1268 (0.0407)0.03960.1264[0.0470, 0.2066]0.1596