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Table 5 Meta-regression analysis of publication selection bias

From: Gender wage gap in China: a large meta-analysis

(a) FAT-PET test (Equation: t = γ0 + γ1(1/SE) + v)

Estimator

OLS

Cluster-robust OLS

Multi-level mixed-effects RML

Cluster-robust random-effects panel GLS

Cluster-robust fixed-effects panel LSDV

Model

[1]

[2]

[3]

[4]a

[5]b

Intercept (FAT: H0: γ0 = 0)

− 2.8691*** (0.480)

− 2.8691*** (0.870)

− 2.7968*** (0.820)

− 2.7870*** (0.832)

− 2.7526*** (1.013)

1/SE (PET: H0: γ1 = 0)

− 0.0721*** (0.008)

− 0.0721*** (0.015)

− 0.0721*** (0.013)

− 0.0722*** (0.013)

− 0.0737*** (0.014)

K

1472

1472

1472

1472

1472

R2

0.335

0.335

–

0.335

0.335

(b) PEESE approach (Equation: t =γ 0SE + γ1(1/SE) + v)

Estimator

OLS

Cluster-robust OLS

Multi-level mixed-effects RML

Random-effects panel ML

Population-averaged panel GEE

Model

[6]

[7]

[8]

[9]

[10]

SE

− 35.4277*** (6.747)

− 35.4277** (14.107)

2.2418 (7.122)

2.2418 (10.274)

− 16.4359*** (6.397)

1/SE (H0: γ1 = 0)

− 0.0885*** (0.006)

− 0.0885*** (0.012)

− 0.0797*** (0.012)

− 0.0797*** (0.003)

− 0.0843*** (0.012)

K

1472

1472

1472

1472

1472

R2

0.605

0.605

–

–

–

  1. aBreusch-Pagan test: χ2 = 1301.60, p = 0.0000
  2. bHausman test: χ2 = 0.55, p = 0.4598
  3. Figures in parentheses beneath the regression coefficients are standard errors. Except for Model [9], robust standard errors are estimated. *** and ** denote statistical significance at the 1% and 5% levels, respectively