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Table 2
The impact of selection effects on the observed fractions of SCCs, WCCs, and NCCs and the LX − Tvir relations.
| Case | Category | Input fractions | Output fractions | Input LX − Tvir relations | Output LX − Tvir relations |
| α, β | α, β | ||||
|
|
|||||
| No scatter, observed α, β fixed to 3.33 | SCC | 0.310 | 0.432 ± 0.040 | 3.82, 3.33 | 3.82, 3.33 |
| WCC | 0.335 | 0.286 ± 0.038 | 2.30, 3.33 | 2.30, 3.33 | |
| NCC | 0.355 | 0.282 ± 0.039 | 2.10, 3.33 | 2.10, 3.33 | |
| No scatter, observed α and β | SCC | 0.340 | 0.437 ± 0.040 | 3.82, 3.33 | 3.82, 3.33 |
| WCC | 0.350 | 0.276 ± 0.034 | 2.30, 3.25 | 2.30, 3.25 | |
| NCC | 0.310 | 0.287 ± 0.038 | 2.10, 2.42 | 2.12, 2.42 | |
| Scatter included, observed α and β | SCC | 0.340 | 0.438 ± 0.038 | 3.82, 3.33 | 4.31 ± 0.08, 3.35 ± 0.01 |
| WCC | 0.355 | 0.281 ± 0.037 | 2.30, 3.25 | 2.43 ± 0.02, 3.27 ± 0.01 | |
| NCC | 0.305 | 0.281 ± 0.038 | 2.10, 2.42 | 2.56 ± 0.07, 2.51 ± 0.01 | |
| Scatter included, observed β | SCC | 0.340 | 0.432 ± 0.042 | 3.40, 3.33 | 3.85 ± 0.06, 3.35 ± 0.01 |
| WCC | 0.355 | 0.291 ± 0.038 | 2.15, 3.25 | 2.30 ± 0.02, 3.27 ± 0.01 | |
| NCC | 0.305 | 0.277 ± 0.042 | 1.75, 2.42 | 2.13 ± 0.05, 2.51 ± 0.01 | |
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