Table 8 Nonparametric fuzzy regression discontinuity (RD) estimates for different kernel functions and polynomial orders

Self-reported Health

 MSE estimate

0.0713

0.1223

0.2073

0.1343

0.1901

 MSE 95% CI (Robust)

[-0.4271, 0.6522]

[-0.2614, 0.6626]

[-0.2856, 0.7152]

[-0.3595, 0.6707]

[-0.3174, 0.6993]

 CER estimate

0.1908

0.1789

0.3071

0.3366

0.3141

 CER 95% CI (Robust)

[-0.2410, 0.6460]

[-0.2556, 0.6721]

[-0.1479, 0.7624]

[-0.1336, 0.8088]

[-0.1583, 0.7839]

Life Satisfaction

 MSE estimate

-0.0388

-0.0523

-0.0096

-0.0073

0.0097

 MSE 95% CI (Robust)

[-0.2922, 0.3659]

[-0.3056, 0.2627]

[-0.4308, 0.4240]

[-0.4178, 0.4471]

[-0.2526, 0.4002]

 CER estimate

0.0012

-0.0208

0.0334

0.1603

0.0200

 CER 95% CI (Robust)

[-0.3538, 0.4252]

[-0.3238, 0.3073]

[-0.6207, 0.6912]

[-0.4646, 0.8023]

[-0.3862, 0.4592]

CESD Scale

 MSE estimate

1.7267

1.5256

1.1630

0.4545

0.8932

 MSE 95% CI (Robust)

[-4.7193, 7.9906]

[-4.6008, 7.2318]

[-6.6795, 8.2401]

[-7.0290, 6.4456]

[-6.7963, 7.2877]

 CER estimate

2.8464

1.8994

1.9409

2.4735

1.5403

 CER 95% CI (Robust)

[-4.0598, 9.5874]

[-5.1994, 8.7478]

[-9.0435, 12.6964]

[-9.1326, 13.5295]

[-8.7563, 11.4628]

MMSE

 MSE estimate

-0.3424

-0.3061

-1.7019

-0.4279

-0.3921

 MSE 95% CI (Robust)

[-2.1276, 1.9789]

[-2.1753, 1.4746]

[-5.2345, 0.6942]

[-2.7139, 1.9867]

[-2.4645, 1.7147]

 CER estimate

-1.5067

-1.1695

-3.2320

-2.7495

-2.0925

 CER 95% CI (Robust)

[-3.9406, 1.2202]

[-3.3806, 1.0451]

[-8.5216, 1.6584]

[-6.6328, 1.1822]

[-5.1854, 1.0456]

ADL

 MSE estimate

-0.0503

-0.0162

0.1017

-0.0118

0.0094

 MSE 95% CI (Robust)

[-0.6303, 0.4657]

[-0.5466, 0.4804]

[-0.4426, 0.7244]

[-0.7176, 0.6824]

[-0.5437, 0.6063]

 CER estimate

0.0883

0.0850

0.7578

0.6323

0.5535

 CER 95% CI (Robust)

[-0.5406, 0.6817]

[-0.4462, 0.6005]

[-0.3303, 1.8812]

[-0.5150, 1.7795]

[-0.3358, 1.4601]

IADL

 MSE estimate

-0.1860

-0.2023

-0.3310

-0.2916

-0.3179

 MSE 95% CI (Robust)

[-0.8677, 0.3169]

[-0.8619, 0.2796]

[-1.178, 0.3632]

[-1.1526, 0.3478]

[-1.1766, 0.3118]

 CER estimate

-0.4416

-0.3909

-0.2941

-0.4515

-0.3638

 CER 95% CI (Robust)

[-1.1999, 0.2409]

[-1.1604, 0.3011]

[-1.2559, 0.6350]

[-1.6777, 0.7101]

[-1.2994, 0.518]

Total Recall Score

 MSE estimate

2.3618

2.3359

3.003

3.6381

3.2775

 MSE 95% CI (Robust)

[-1.6244, 7.0584]

[-0.9632, 7.2064]

[-3.0597, 8.8719]

[-2.1318, 10.2123]

[-2.6941, 9.1793]

 CER estimate

5.0619

2.9857

1.0830

3.3154

1.5234

 CER 95% CI (Robust)

[-0.9115, 11.2045]

[-1.1902, 7.7865]

[-6.4441, 8.5652]

[-3.3895, 10.2133]

[-5.5864, 8.6324]