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Table 4 Comparisons of proposed weight, global weight and local weight to estimate the overall hazard ratio in the simulations, heterogeneous design and treatment assignment generated with \(X_{1}\)~\(X_{4}\)

From: Covariate balance-related propensity score weighting in estimating overall hazard ratio with distributed survival data

   

\(\boldsymbol K\boldsymbol=\mathbf{5}\)

  

\(\boldsymbol K\boldsymbol=\mathbf{10}\)

  

\(\boldsymbol K\boldsymbol=\mathbf{20}\)

 
  

Global weight

Local weight

Proposed weight

Global weight

Local weight

Proposed weight

Global weight

Local weight

Proposed weight

\({n}_{k}=500\)

Bias

-0.098

-0.140

-0.119

-0.064

-0.098

-0.079

-0.035

-0.073

-0.049

 

RMSE

0.287

0.254

0.239

0.208

0.226

0.188

0.171

0.178

0.139

 

r-RMSE

1.200

1.062

1.000 (Ref)

1.106

1.201

1.000 (Ref)

1.232

1.283

1.000 (Ref)

\({n}_{k}=1000\)

Bias

-0.071

-0.073

-0.071

-0.040

-0.049

-0.046

-0.031

-0.028

-0.028

 

RMSE

0.221

0.247

0.206

0.178

0.174

0.147

0.124

0.144

0.101

 

r-RMSE

1.071

1.197

1.000 (Ref)

1.215

1.188

1.000 (Ref)

1.231

1.430

1.000 (Ref)

\({n}_{k}=2000\)

Bias

-0.040

-0.031

-0.038

-0.034

-0.017

-0.025

-0.033

-0.019

-0.019

 

RMSE

0.210

0.199

0.170

0.128

0.142

0.112

0.106

0.100

0.078

 

r-RMSE

1.235

1.170

1.000 (Ref)

1.142

1.267

1.000 (Ref)

1.351

1.274

1.000 (Ref)

  1. Bias Absolute bias. RMSE Root mean squared error, r-RMSE Ratio of RMSE of global weight or local weight against proposed weight