Figure 2.

Boxplots of ${\widehat{\beta }}_X$ from B = 250 simulated data sets, for chi-square X₁ and X₂ and P(Y = 1|X₁, X₂) = F(β₀ + β₁X₁ + β₂X₂), with true values β=(β₀, β₁, β₂) =(1.5, 0.5, 0.5) denoted by a horizontal line. Reliability ratios for X₁ and X₂ are 0.50 and 0.75, respectively, ρ = 0.50 and n = 1000 or n = 9000. Method: W, naive; M2 and M4, multivariate MAI with M=2 and 4, respectively; RC, regression calibration; MR, moment reconstruction.