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Table 2 Estimated test size of the jackknife estimator based on 500 simulations. Size of the test & Monte Carlo Error ( \(\times 10^3\)). RSFvCOX and RSFvZOM correspond to the comparison between RSF and COX, and between RSF and ZOM respectively

From: Model selection for survival individualized treatment rules using the jackknife estimator

  

n = 200

n = 400

n = 800

Scenario

Censoring

RSFvCOX

RSFvZOM

RSFvCOX

RSFvZOM

RSFvCOX

RSFvZOM

1

0 %

0.052 (9.9)

0.064 (11.0)

0.044 (9.2)

0.048 (9.6)

0.020 (6.3)

0.020 (6.3)

\(\approx 10\) %

0.056 (10.3)

0.090 (12.8)

0.088 (12.7)

0.110 (14.0)

0.050 (9.7)

0.050 (9.7)

\(\approx 20\) %

0.046 (9.4)

0.070 (11.4)

0.080 (12.1)

0.100 (13.4)

0.062 (10.8)

0.064 (10.9)

\(\approx 40\) %

0.052 (9.9)

0.074 (11.7)

0.064 (10.9)

0.110 (14.0)

0.060 (10.6)

0.066 (11.1)

2

0 %

0.032 (7.9)

0.044 (9.2)

0.034 (8.1)

0.068 (11.2)

0.04 (8.8)

0.038 (8.5)

\(\approx 10\) %

0.080 (12.1)

0.070 (11.4)

0.066 (11.1)

0.088 (12.7)

0.052 (9.9)

0.044 (9.2)

\(\approx 20\) %

0.080 (12.1)

0.088 (12.7)

0.076 (11.8)

0.098 (13.3)

0.076 (11.8)

0.110 (14.0)

\(\approx 40\) %

0.116 (14.3)

0.100 (13.4)

0.154 (16.1)

0.148 (15.9)

0.170 (16.8)

0.170 (16.8)

3

0 %

0.040 (8.8)

0.066 (11.1)

0.062 (10.8)

0.118 (14.4)

0.088 (12.7)

0.098 (13.3)

\(\approx 10\) %

0.052 (9.9)

0.044 (9.2)

0.054 (10.1)

0.100 (13.4)

0.082 (12.3)

0.082 (12.3)

\(\approx 20\) %

0.034 (8.1)

0.036 (8.3)

0.042 (9.0)

0.092 (12.9)

0.048 (9.6)

0.048 (9.6)

\(\approx 40\) %

0.040 (8.8)

0.044 (9.2)

0.028 (7.4)

0.070 (11.4)

0.050 (9.7)

0.060 (10.6)