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Table 4 Simulation results for model 3

From: Sparse sliced inverse regression for high dimensional data analysis

Model 3

(\(\rho\), p)

 

CISESIR

CISELDA

MGSDA

PLDA

MSDA

(0.5, 50)

\(\Delta\)

0.590

0.489

0.690

0.215

0.677

MSR

0.208

0.086

0.111

0.080

0.100

TPR

0.960

0.994

0.956

0.998

0.950

FPR

0.357

0.102

0.090

0.204

0.118

(0.5, 500)

\(\Delta\)

0.438

0.536

0.746

0.241

0.683

MSR

0.091

0.092

0.122

0.085

0.100

TPR

0.978

0.990

0.924

1.000

0.942

FPR

0.030

0.017

0.013

0.076

0.011

(0.5, 1000)

\(\Delta\)

0.322

0.302

0.751

0.218

0.749

MSR

0.080

0.081

0.119

0.076

0.096

TPR

0.994

1.000

0.922

1.000

0.900

FPR

0.019

0.014

0.010

0.023

0.008

(0.9, 50)

\(\Delta\)

0.514

0.602

1.050

0.126

0.833

MSR

0.070

0.069

0.097

0.067

0.077

TPR

0.920

0.970

0.660

1.000

0.874

FPR

0.292

0.082

0.077

0.335

0.059

(0.9, 500)

\(\Delta\)

0.273

0.390

1.048

0.229

0.814

MSR

0.064

0.069

0.095

0.067

0.073

TPR

0.988

1.000

0.638

1.000

0.868

FPR

0.021

0.033

0.009

0.291

0.004

(0.9, 1000)

\(\Delta\)

0.492

0.228

1.047

0.185

0.772

MSR

0.068

0.065

0.096

0.064

0.066

TPR

1.000

1.000

0.652

1.000

0.850

FPR

0.033

0.017

0.003

0.131

0.006

  1. \(\Delta\) is as defined in (10); TPR is the true positive rate; FPR is the false positive rate; MSR is the misclassification rate over a test set of 900 observations. Note again, TPR and FPR are with respect to variable selection. The reported numbers are averages over 50 repetitions