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. 2018 Aug 17;8:12395. doi: 10.1038/s41598-018-30318-8

Table 4.

Final model (Model C) fixed-effect parameters.

i xi(j) B i SE(Bi) β i SE(βi) c i SE(ci)
0 Intercept 6.287 0.585 NA NA −5.393 0.502
1 Beep-track accuracy −8.448 0.611 −1.217 0.088 7.247 0.524
2 Displacement direction 0.671 0.130 NA NA −0.576 0.112

Notes. i is a generic index. xi(j) denotes the ith element of vector x(j) (equation (3)), and corresponds to the ith item feature. Bi denotes the unstandardised regression coefficient for the corresponding fixed effect in the mixed-effects logistic regression model. SE(Bi) denotes the standard error associated with the estimation of Bi, and analogous definitions hold for SE(βi) and SE(ci). βi denotes a partially standardised logistic regression coefficient, where standardisation is achieved by multiplying the unstandardised coefficient by the standard deviation of the predictor variable. ci denotes the ith element of vector c (equation (3)), and identifies the contribution that item feature xi(j) makes to item difficulty. x2(j) (displacement direction) is coded with 1 denoting ‘behind-the-beat’ and 0 denoting ‘before-the-beat’.