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. 2025 Jan 3;90(1):304–330. doi: 10.1017/psy.2024.17

Table 3.

Average bias (between-item Inline graphic in parentheses) and RMSE (between-item Inline graphic in parentheses) on Inline graphic parameters across all items per condition

Design Bias ( Inline graphic ) RMSE ( Inline graphic )
L Inline graphic structure Inline graphic m Lasso (obli) Lasso (ortho) Rotate Lasso (obli) Lasso (ortho) Rotate
3 Simple 0 3 0.001 (0.002) 0.001 (0.002) Inline graphic 0.001 (0.002) 0.011 (0.002) 0.011 (0.002) 0.011 (0.002)
3 Simple 0 5 0.002 (0.003) 0.002 (0.003) Inline graphic 0.001 (0.002) 0.012 (0.004) 0.012 (0.004) 0.012 (0.004)
3 Simple .3 3 0.002 (0.002) Inline graphic 0.000 (0.001) Inline graphic 0.001 (0.001) 0.012 (0.003) 0.012 (0.003) 0.012 (0.003)
3 Simple .3 5 0.003 (0.003) 0.000 (0.002) Inline graphic 0.001 (0.002) 0.014 (0.004) 0.013 (0.004) 0.013 (0.004)
3 Complex 0 3 0.002 (0.002) 0.002 (0.002) 0.001 (0.002) 0.011 (0.002) 0.011 (0.002) 0.011 (0.002)
3 Complex 0 5 0.000 (0.002) 0.002 (0.002) Inline graphic 0.000 (0.002) 0.013 (0.004) 0.013 (0.004) 0.013 (0.004)
3 Complex .3 3 0.003 (0.001) Inline graphic 0.000 (0.001) Inline graphic 0.001 (0.001) 0.013 (0.003) 0.012 (0.003) 0.012 (0.003)
3 Complex .3 5 0.002 (0.002) 0.000 (0.002) Inline graphic 0.000 (0.002) 0.014 (0.003) 0.012 (0.003) 0.012 (0.003)
4 Simple 0 3 0.006 (0.005) 0.006 (0.004) 0.002 (0.003) 0.013 (0.004) 0.014 (0.003) 0.013 (0.002)
4 Simple 0 5 0.006 (0.002) 0.009 (0.003) 0.004 (0.002) 0.014 (0.003) 0.016 (0.003) 0.015 (0.003)
4 Simple .3 3 0.008 (0.006) 0.005 (0.004) 0.003 (0.003) 0.015 (0.005) 0.014 (0.003) 0.013 (0.003)
4 Simple .3 5 0.007 (0.003) 0.006 (0.002) 0.005 (0.002) 0.015 (0.003) 0.014 (0.002) 0.014 (0.002)
4 Complex 0 3 0.005 (0.003) 0.005 (0.004) 0.003 (0.003) 0.014 (0.004) 0.013 (0.004) 0.013 (0.004)
4 Complex 0 5 0.006 (0.002) 0.008 (0.002) 0.005 (0.002) 0.015 (0.003) 0.016 (0.003) 0.014 (0.002)
4 Complex .3 3 0.007 (0.002) 0.005 (0.003) 0.005 (0.003) 0.015 (0.003) 0.014 (0.003) 0.014 (0.003)
4 Complex .3 5 0.003 (0.003) 0.005 (0.003) 0.004 (0.003) 0.018 (0.003) 0.017 (0.004) 0.016 (0.004)

Note: Note that rotated models have the same Inline graphic estimates regardless of rotation methods as those only affect Inline graphic . obli = oblique (latent traits are a priori assumed to be correlated). ortho = orthogonal (latent traits are a priori assumed to be orthogonal). L = number of latent traits. Inline graphic = true latent trait correlation. m = number of items per trait.