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Table 2 Nonparametric fuzzy regression discontinuity (RD) estimates

From: The effect of retirement on physical and mental health in China: a nonparametric fuzzy regression discontinuity study

 

Without covariates

With covariates

MMSE

ADL

IADL

Total Recall Score

MMSE

ADL

IADL

Total recall score

MSE Optimal

 Bandwidth

3.6

4.0

2.8

3.9

3.5

3.2

4.1

3.4

 Point Estimate

-0.4198

0.0404

-0.1869

2.2990

-0.5379

0.0601

-0.0852

1.4656

 Conventional 95% CI

[-2.0137, 1.174]

[-0.3660, 0.4469]

[-0.6746, 0.3009]

[-1.1485, 5.7464]

[-2.3773, 1.3014]

[-0.4417, 0.5619]

[-0.5434, 0.3731]

[-2.6275, 5.5586]

 Robust Point Estimate

-0.4843

0.0425

-0.2771

3.0466

-0.6752

0.0600

-0.1155

1.9259

 Robust 95% CI

[-2.3391, 1.3704]

[-0.4302, 0.5152]

[-0.8337, 0.2795]

[-1.0749, 7.1681]

[-2.8381, 1.4878]

[-0.5203, 0.6403]

[-0.6489, 0.4179]

[-2.9926, 6.8443]

 Effective obs L|R

953|952

1274|1248

778|806

1098|1104

953|952

1035|1003

1146|1217

934|938

CER Optimal

 Bandwidth

2.3

2.6

1.8

2.6

2.3

2.1

2.6

2.2

 Point Estimate

-1.1555

0.0534

-0.3394

2.7662

-1.4773

0.2240

-0.2310

1.8908

 Conventional 95% CI

[-3.2495, 0.9386]

[-0.3880, 0.4948]

[-0.9972, 0.3183]

[-1.4922, 7.0245]

[-3.8748, 0.9201]

[-0.3397, 0.7877]

[-0.7984, 0.3365]

[-3.0897, 6.8713]

 Robust Point Estimate

-1.165

0.0549

-0.3789

3.0688

-1.5217

0.2248

-0.2439

2.0632

 Robust 95% CI

[-3.3811, 1.0511]

[-0.4210, 0.5309]

[-1.0807, 0.3230]

[-1.5006, 7.6381]

[-4.0704, 1.0270]

[-0.3844, 0.8340]

[-0.8533, 0.3656]

[-3.2850, 7.4114]

 Effective obs L|R

659|619

845|796

541|573

727|691

659|619

664|623

752|773

609|582

Obs L|R

2733|2541

3122|2923

2720|2872

2803|2657

2733|2541

3122|2923

2720|2872

2803|2657

  1. (i) All estimates are computed using a triangular Kernel and nearest neighbor heteroskedasticity-robust variance estimator as suggested by CCT framework. (ii) Effective number of observations depends on the size of the data-driven selected bandwidth
  2. All the p-values > 0.05