Table 3.

Estimated unconstrained and constrained linear phenotypic selection indices (LPSI and CLPSI, respectively) correlation coefficients when the genotypic covariance matrix is known (${\tilde{\rho }}_{max}$ and ${\tilde{\rho }}_{maxC}$) and estimated (${\widehat{r}}_{max}$ and ${\widehat{r}}_{maxC}$); standard deviation ($S{D}_{{\tilde{\rho }}_{max}}$, $S{D}_{{\tilde{\rho }}_{maxC}}$, $S{D}_{{\widehat{r}}_{max}}$ and $S{D}_{{\widehat{r}}_{maxC}}$) and 95% confidence interval (CI, LCL lower confidence limit, UCL upper confidence limit) for the true unknown correlation (${\rho }_{max}$ and ${\rho }_{maxC}$) for seven simulated selection cycles

	LPSI correlation coefficient
	Genotypic covariance matrix known				Estimated Genotypic covariance matrix
Cycle	${\tilde{\rho }}_{max}$	$S{D}_{{\tilde{\rho }}_{max}}$	LCL	UCL	${\widehat{r}}_{max}$	$S{D}_{{\widehat{r}}_{max}}$	LCL	UCL
1	0.894	0.009	0.875	0.911	0.906	0.008	0.875	0.911
2	0.864	0.011	0.840	0.885	0.883	0.010	0.840	0.885
3	0.865	0.011	0.841	0.885	0.866	0.011	0.841	0.885
4	0.845	0.013	0.818	0.869	0.863	0.011	0.818	0.869
5	0.859	0.012	0.834	0.881	0.855	0.012	0.834	0.881
6	0.843	0.013	0.816	0.867	0.830	0.014	0.816	0.867
7	0.868	0.011	0.845	0.888	0.832	0.014	0.845	0.888
Average	0.863	0.011	0.839	0.884	0.862	0.011	0.839	0.884

	CLPSI correlation coefficient
	Genotypic covariance matrix known				Estimated genotypic covariance matrix
Cycle	${\tilde{\rho }}_{maxC}$	$S{D}_{{\tilde{\rho }}_{maxC}}$	LCL	UCL	${\widehat{r}}_{maxC}$	$S{D}_{{\widehat{r}}_{maxC}}$	LCL	UCL
1	0.800	0.016	0.766	0.829	0.803	0.016	0.769	0.832
2	0.819	0.015	0.788	0.846	0.842	0.013	0.815	0.866
3	0.804	0.016	0.771	0.833	0.827	0.014	0.797	0.853
4	0.748	0.020	0.707	0.785	0.744	0.020	0.702	0.781
5	0.779	0.018	0.742	0.812	0.803	0.016	0.769	0.832
6	0.779	0.018	0.742	0.811	0.775	0.018	0.738	0.808
7	0.765	0.019	0.727	0.800	0.805	0.016	0.772	0.834
Average	0.785	0.017	0.749	0.817	0.800	0.016	0.766	0.829