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. 2021 May 20;8(3):2170–2182. doi: 10.1109/TNSE.2021.3081759

TABLE IV. The Expected Relative Cost of the Dorfman Two-Stage Algorithm With Its Optimal Group Size in Table III, and the Lowest Expected Relative Cost of Inline graphic-Regular in [15]. The Numbers Given in Boldface are the Expected Relative Costs of Dorfman's Two-Stage Algorithm of the Smallest Values of Inline graphic That Outperform Those of the Inline graphic-Regular Pooling Matrices Under the Same Prevalence Rate Inline graphic.

The Dorfman Two-stage Algorithm with Positively Correlated Samples Inline graphic-regular
Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Lowest Cost
1% 0.1956 0.1865 0.1771 0.1670 0.1559 0.1438 0.1303 0.1147 0.0961 0.0715 0.1218
2% 0.2742 0.2620 0.2496 0.2356 0.2209 0.2046 0.1862 0.1652 0.1397 0.1057 0.1881
3% 0.3337 0.3198 0.3044 0.2888 0.2708 0.2516 0.2299 0.2048 0.1744 0.1337 0.2545
4% 0.3839 0.3675 0.3507 0.3333 0.3131 0.2916 0.2673 0.2388 0.2045 0.1585 0.3147
5% 0.4262 0.4098 0.3921 0.3717 0.3509 0.3267 0.3003 0.2693 0.2317 0.1810 0.3678
6% 0.4661 0.4472 0.4279 0.4082 0.3841 0.3595 0.3304 0.2972 0.2568 0.2022 0.4166
7% 0.5043 0.4831 0.4615 0.4393 0.4162 0.3884 0.3586 0.3234 0.2803 0.2221 0.4627
8% 0.5336 0.5148 0.4939 0.4694 0.4443 0.4165 0.3847 0.3476 0.3025 0.2411 0.5035
9% 0.5643 0.5437 0.5227 0.4985 0.4712 0.4431 0.4091 0.3707 0.3237 0.2595 0.5416
10% 0.5939 0.5718 0.5492 0.5261 0.4973 0.4669 0.4328 0.3932 0.3437 0.277 0.5760