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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]

Length

Mean (Std. Dev.)

MCSE

Median

[95% cred. Interval]

Length

Fixed effect

 Student-level chxs

  Intercept

0.2570 (0.0697)

0.000

[0.1203, 0.3937]

0.2734

0.2553 (0.0703)

0.0022

0.2558

[0.1149, 0.3869]

0.2720

  SP

0.0333 (0.0875)

0.703

[− 0.138, 0.2049]

0.3431

0.018 (0.0664)

0.0098

0.0124

[− 0.105, 0.1619]

0.2670

  GS

0.5967 (0.0948)

0.000

[0.4109, 0.7824]

0.3715

0.6147 (0.0718)

0.0078

0.6150

[0.4729, 0.7521]

0.2792

  SCSE

0.4159 (0.0931)

0.000

[0.2334, 0.5985]

0.3651

0.3684 (0.0858)

0.0197

0.3613

[0.2216, 0.5658]

0.3442

  DEE

0.0700 (0.096)

0.466

[− 0.118, 0.2582]

0.3764

0.0957 (0.086)

0.0159

0.0968

[− 0.076, 0.2666]

0.3425

  AIR

0.8484 (0.0991)

0.000

[0.6541, 1.0426]

0.3885

0.8483 (0.0698)

0.0047

0.8473

[0.7151, 0.9934]

0.2783

  CPS

0.3515 (0.0949)

0.000

[0.1655, 0.5376]

0.3721

0.3799 (0.0618)

0.0084

0.3780

[0.2609, 0.5033]

0.2424

  IOS

1.3379 (0.1203)

0.000

[1.1022, 1.5737]

0.4715

1.3673 (0.114)

0.0206

1.3729

[1.139, 1.5734]

0.4344

  RTC (1)

0.2079 (0.2383)

0.383

[− 0.259, 0.6750]

0.9342

0.2546 (0.1093)

0.0155

0.2617

[0.037, 0.4566]

0.4195

  CFBI (1)

0.3409 (0.2005)

0.089

[− 0.052,0.7338]

0.7860

0.3256 (0.1393)

0.0217

0.3227

[0.0595, 0.6053]

0.5458

  IG (1)

0.4517 (0.2379)

0.058

[− 0.015, 0.9180]

0.9326

0.5487 (0.1204)

0.0182

0.5442

[0.3144, 0.7884]

0.4740

  MFSB (1)

1.1817 (0.4158)

0.004

[0.3668, 1.9966]

1.6298

1.2457 (0.1339)

0.0185

1.2427

[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]

1.2234

0.7969 (0.0734)

0.009

0.7984

[0.6504, 0.9413]

0.2910

  BOC (1)

0.0310 (0.2005)

0.877

[− 0.362, 0.4240]

0.7859

0.0042 (0.1429)

0.0318

0.0155

[− 0.289, 0.2483]

0.5371

  PBE (1)

0.3880 (0.1416)

0.006

[0.1040, 0.6600]

0.5560

0.389 (0.1395)

0.0021

0.0000

[0.1126, 0.6593]

0.5467

  BOF (1)

0.6088 (0.3263)

0.000

[0.5448, 0.6727]

0.1279

0.6087 (0.0326)

0.0004

0.6087

[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]

1.1661

0.1204 (0.1411)

0.0223

0.1196

[− 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]

0.3804

0.4957 (0.0967)

0.0009

0.4963

[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]

1.4265

0.0214 (0.1629)

0.0182

0.018

[− 0.279, 0.3536]

0.6330

Random effect

 Var (intercept)

0.2802 (0.0863)

 

[0.1111, 0.4493]

0.3382

0.2781 (0.0805)

0.0053

0.2800

[0.1203, 0.4359]

0.3156