Skip to main content

Table 2 Standard errors of α and β under different missing functions and different sample sizes obtained by two different methods for the simulated data

From: Estimation in a partially linear single-index model with missing response variables and error-prone covariates

  

Complete

Imputation

Missing rate

n

\(\boldsymbol{\hat{\alpha}_{1}}\)

\(\boldsymbol{\hat{\alpha}_{2}}\)

\(\boldsymbol{\hat{\alpha}_{3}}\)

\(\boldsymbol{\hat{\beta}}\)

\(\boldsymbol{\breve{\alpha}_{1}}\)

\(\boldsymbol{\breve{\alpha}_{2}}\)

\(\boldsymbol{\breve{\alpha}_{3}}\)

\(\boldsymbol{\breve{\beta}}\)

0.30

50

0.1011

0.0883

0.0969

0.1108

0.0694

0.0586

0.0684

0.0778

 

100

0.0470

0.0467

0.0471

0.0662

0.0282

0.0288

0.0288

0.0448

 

150

0.0333

0.0331

0.0334

0.0512

0.0212

0.0215

0.0214

0.0348

0.20

50

0.0813

0.0782

0.0845

0.0995

0.0433

0.0416

0.0429

0.0626

 

100

0.0438

0.0438

0.0443

0.0601

0.0242

0.0247

0.0251

0.0369

 

150

0.0315

0.0315

0.0313

0.0475

0.0184

0.0191

0.0186

0.0291

0.10

50

0.0711

0.0731

0.0753

0.0937

0.0345

0.0327

0.0345

0.0515

 

100

0.0405

0.0399

0.0412

0.0560

0.0200

0.0204

0.0210

0.0306

 

150

0.0293

0.0290

0.0292

0.0441

0.0155

0.0159

0.0156

0.0239