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Table 3 Estimated regression coefficients and variance components for fixed effect model (Model 2)

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
  Intercept0.2570 (0.0697)0.000[0.1203, 0.3937]0.27340.2553 (0.0703)0.00220.2558[0.1149, 0.3869]0.2720
  SP0.0333 (0.0875)0.703[− 0.138, 0.2049]0.34310.018 (0.0664)0.00980.0124[− 0.105, 0.1619]0.2670
  GS0.5967 (0.0948)0.000[0.4109, 0.7824]0.37150.6147 (0.0718)0.00780.6150[0.4729, 0.7521]0.2792
  SCSE0.4159 (0.0931)0.000[0.2334, 0.5985]0.36510.3684 (0.0858)0.01970.3613[0.2216, 0.5658]0.3442
  DEE0.0700 (0.096)0.466[− 0.118, 0.2582]0.37640.0957 (0.086)0.01590.0968[− 0.076, 0.2666]0.3425
  AIR0.8484 (0.0991)0.000[0.6541, 1.0426]0.38850.8483 (0.0698)0.00470.8473[0.7151, 0.9934]0.2783
  CPS0.3515 (0.0949)0.000[0.1655, 0.5376]0.37210.3799 (0.0618)0.00840.3780[0.2609, 0.5033]0.2424
  IOS1.3379 (0.1203)0.000[1.1022, 1.5737]0.47151.3673 (0.114)0.02061.3729[1.139, 1.5734]0.4344
  RTC (1)0.2079 (0.2383)0.383[− 0.259, 0.6750]0.93420.2546 (0.1093)0.01550.2617[0.037, 0.4566]0.4195
  CFBI (1)0.3409 (0.2005)0.089[− 0.052,0.7338]0.78600.3256 (0.1393)0.02170.3227[0.0595, 0.6053]0.5458
  IG (1)0.4517 (0.2379)0.058[− 0.015, 0.9180]0.93260.5487 (0.1204)0.01820.5442[0.3144, 0.7884]0.4740
  MFSB (1)1.1817 (0.4158)0.004[0.3668, 1.9966]1.62981.2457 (0.1339)0.01851.2427[0.9863, 1.5150]0.5287
  (2)− 0.384 (0.9024)0.708[− 2.107, 1.4302]3.5372− 0.338 (0.174)0.0103− 0.3410[− 0.688− , 0.0020]0.6861
  (3)0.0564 (0.2956)0.849[− 0.523, 0.6358]1.1589− 0.03 (0.1584)0.0214− 0.0350[− 0.343, 0.2930]0.6358
  AF (1)0.7801 (0.3121)0.012[0.1684, 1.3917]1.22340.7969 (0.0734)0.0090.7984[0.6504, 0.9413]0.2910
  BOC (1)0.0310 (0.2005)0.877[− 0.362, 0.4240]0.78590.0042 (0.1429)0.03180.0155[− 0.289, 0.2483]0.5371
  PBE (1)0.3880 (0.1416)0.006[0.1040, 0.6600]0.55600.389 (0.1395)0.00210.0000[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)− 0.410 (0.2628)0.119[− 0.925, 0.1048]1.0300− 0.44 (0.1023)0.0173− 0.4430[− 0.635, − 0.233]0.4017
  (2)0.1624 (0.2975)0.585[− 0.421, 0.7455]1.16610.1204 (0.1411)0.02230.1196[− 0.152, 0.3997]0.5520
  (3)− 0.325 (0.2715)0.231[− 0.857, 0.2067]1.0642− 0.375 (0.1398)0.0287− 0.3690[− 0.638, − 0.114]0.5243
  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)− 0.286 (0.3312)0.388[− 0.935, 0.3633]1.2983− 0.246 (0.138)0.0107− 0.2440[− 0.523, 0.0237]0.5467
  (2)− 0.087 (0.3669)0.813[− 0.806, 0.6320]1.4381− 0.071 (0.1267)0.0216− 0.074[− 0.300, 0.1838]0.4834
  (3)− 0.077 (0.3639)0.832[− 0.791, 0.6360]1.42650.0214 (0.1629)0.01820.018[− 0.279, 0.3536]0.6330
Random effect
 Var (intercept)0.2802 (0.0863) [0.1111, 0.4493]0.33820.2781 (0.0805)0.00530.2800[0.1203, 0.4359]0.3156