International Journal of Mathematics and Mathematical Sciences / 2024 / Article / Tab 1 / Research Article
Gaussian Copula Regression Modeling for Marker Classification Metrics with Competing Risk Outcomes Table 1 Empirical bias, standard error (SE), and mean square error (MSE) of the estimators of the parametric Gaussian copula regression model for simulations generated from a Gaussian copula, with sample sizes 200 and 400 and censoring distributions
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.Sample size and censoring Parameters Bias SE MSE censoring −0.0078 0.9158 0.8387 −0.0030 0.0878 0.0077 0.0094 0.0977 0.0096 −0.1236 0.6693 0.4632 −0.0009 0.0627 0.0039 −0.0928 0.4011 0.1695 −0.0250 0.0822 0.0074 0.0270 0.2416 0.0591 −0.0393 0.2946 0.0883 −0.0101 0.0772 0.0061 0.0234 0.0565 0.0037 0.0013 0.1080 0.0117 censoring −0.0634 0.6162 0.3838 0.0028 0.0593 0.0035 0.0083 0.0718 0.0052 −0.0394 0.4825 0.2344 0.0066 0.0393 0.0016 −0.0431 0.2895 0.0857 −0.0176 0.0638 0.0044 0.0143 0.1670 0.0281 −0.0024 0.2003 0.0401 0.0017 0.0488 0.0024 0.0209 0.0472 0.0027 −0.0066 0.0668 0.0045 censoring −0.0731 0.9864 0.9783 −0.0025 0.0943 0.0089 0.0098 0.1173 0.0139 −0.1441 0.8617 0.7633 −0.0006 0.0660 0.0044 −0.1841 0.4170 0.2078 −0.0544 0.0881 0.0107 −0.0143 0.2482 0.0618 0.0069 0.3008 0.0905 0.0021 0.0742 0.0055 0.0177 0.0653 0.0046 −0.0060 0.1032 0.0107 censoring 0.1473 0.7044 0.5178 −0.0214 0.0689 0.0052 −0.0081 0.0773 0.0060 −0.0741 0.5356 0.2924 0.0083 0.0441 0.0020 −0.2557 0.3006 0.1558 −0.0746 0.0635 0.0096 −0.0260 0.1569 0.0253 0.0161 0.1885 0.0358 −0.0012 0.0571 0.0033 0.0184 0.0473 0.0026 −0.0088 0.0710 0.0051