[
 {"id":"C1","text":"At n=30, rho=0.8 the OLS estimator with intercept is downward biased by about -0.124 (MC SE 0.001).","results_keys":["bias_mc","bias_mc_se","rho_hat_mean"],"status":"supported","caveat":"Specific to this single design point."},
 {"id":"C2","text":"The Marriott-Pope/Kendall approximation gives -0.113, understating the magnitude of the bias by about 8%, a discrepancy of about -9.9 MC standard errors.","results_keys":["bias_analytical","discrepancy_se_units","relative_error_analytical_vs_mc"],"status":"supported","caveat":"Formula is a leading-order O(1/n) asymptotic approximation; discrepancy reflects neglected O(n^-2) terms, not a refutation."},
 {"id":"C3","text":"Using the effective sample size n-1=29 in the formula reduces but does not eliminate the discrepancy (-6.1 MC SEs).","results_keys":["bias_analytical_effective_n_minus_1","discrepancy_se_units_n_minus_1"],"status":"supported","caveat":"Sensitivity analysis only."},
 {"id":"C4","text":"The bias is of the same size as the asymptotic standard error (about 1.13x), and the finite-sample sd of rho_hat exceeds the asymptotic SE by about 36%.","results_keys":["bias_mc","se_asymptotic","rho_hat_sd_mc","rho_hat_sd_ratio_to_asymptotic"],"status":"supported","caveat":"Design-specific."}
]