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

Table 4.

Average bias ( Inline graphic in parentheses) and RMSE ( 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 Inline graphic 0.007 (0.013) Inline graphic 0.007 (0.014) 0.007 (0.017) 0.084 (0.029) 0.084 (0.029) 0.082 (0.030)
3 Simple 0 5 Inline graphic 0.006 (0.009) Inline graphic 0.010 (0.027) Inline graphic 0.004 (0.031) 0.060 (0.018) 0.062 (0.022) 0.061 (0.022)
3 Simple 0.3 3 Inline graphic 0.007 (0.014) 0.010 (0.012) 0.013 (0.013) 0.071 (0.020) 0.075 (0.025) 0.076 (0.026)
3 Simple 0.3 5 Inline graphic 0.013 (0.022) Inline graphic 0.002 (0.020) Inline graphic 0.001 (0.022) 0.061 (0.023) 0.060 (0.019) 0.060 (0.019)
3 Complex 0 3 0.006 (0.013) 0.012 (0.015) 0.015 (0.015) 0.075 (0.023) 0.076 (0.022) 0.077 (0.022)
3 Complex 0 5 Inline graphic 0.005 (0.008) Inline graphic 0.010 (0.021) Inline graphic 0.005 (0.019) 0.056 (0.013) 0.058 (0.017) 0.055 (0.014)
3 Complex 0.3 3 Inline graphic 0.007 (0.012) 0.011 (0.010) 0.013 (0.011) 0.068 (0.018) 0.074 (0.025) 0.075 (0.024)
3 Complex 0.3 5 Inline graphic 0.014 (0.019) Inline graphic 0.001 (0.012) Inline graphic 0.000 (0.011) 0.059 (0.018) 0.056 (0.015) 0.056 (0.014)
4 Simple 0 3 Inline graphic 0.076 (0.148) Inline graphic 0.106 (0.214) Inline graphic 0.071 (0.165) 0.126 (0.134) 0.156 (0.194) 0.132 (0.144)
4 Simple 0 5 Inline graphic 0.069 (0.095) Inline graphic 0.077 (0.104) Inline graphic 0.068 (0.106) 0.095 (0.087) 0.102 (0.096) 0.098 (0.095)
4 Simple 0.3 3 Inline graphic 0.077 (0.142) Inline graphic 0.064 (0.147) Inline graphic 0.057 (0.138) 0.125 (0.124) 0.122 (0.129) 0.115 (0.120)
4 Simple 0.3 5 Inline graphic 0.059 (0.098) Inline graphic 0.049 (0.088) Inline graphic 0.048 (0.089) 0.093 (0.088) 0.085 (0.075) 0.086 (0.075)
4 Complex 0 3 Inline graphic 0.068 (0.135) Inline graphic 0.073 (0.209) Inline graphic 0.066 (0.206) 0.120 (0.122) 0.133 (0.186) 0.132 (0.182)
4 Complex 0 5 Inline graphic 0.064 (0.093) Inline graphic 0.065 (0.093) Inline graphic 0.064 (0.096) 0.097 (0.081) 0.096 (0.081) 0.096 (0.082)
4 Complex 0.3 3 Inline graphic 0.067 (0.146) Inline graphic 0.060 (0.173) Inline graphic 0.060 (0.173) 0.122 (0.131) 0.126 (0.151) 0.126 (0.150)
4 Complex 0.3 5 Inline graphic 0.059 (0.080) Inline graphic 0.053 (0.076) Inline graphic 0.053 (0.076) 0.091 (0.071) 0.086 (0.064) 0.086 (0.064)

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.