. 2023 Jun 2;55:36. doi: 10.1186/s12711-023-00804-3

Table 2.

Estimate and 95% confidence interval for the concordance correlation coefficient ( ${\hat{ρ}}_{c}$ ) between the true and estimated statistic, and point estimates for the Pearson correlation coefficient ( $\hat{ρ}$ ); bias correction factor ( ${\hat{C}}_{b}$ ); and root mean square deviation (RMSD) in each case within scenario

Scenario	Statistic	Concordance correlation			$\hat{ρ}$	${\hat{C}}_{b}$	RMSD
Scenario	Statistic	${\hat{ρ}}_{c}$	Lower	Upper	$\hat{ρ}$	${\hat{C}}_{b}$	Est.	Lower	Upper
Medium accuracy	$μ_{a_{t}}$ vs. $E ({\hat{a}}_{t})$	1.00	1.00	1.00	1.00	1.00	0.10	0.08	0.15
Medium accuracy	$σ_{a_{t}}^{2}$ vs. $V a r ({\hat{a}}_{t})$	0.95	0.93	0.96	0.96	0.99	0.11	0.09	0.14
High accuracy	$μ_{a_{t}}$ vs. $E ({\hat{a}}_{t})$	1.00	1.00	1.00	1.00	1.00	0.15	0.11	0.20
High accuracy	$σ_{a_{t}}^{2}$ vs. $V a r ({\hat{a}}_{t})$	0.87	0.83	0.90	0.97	0.89	0.18	0.15	0.21