Table 1 Random intercept model with a binary logistic regression function and fixed effects on score

Fixed effects on score

Variable

Model 1 (VC)

Model 2

Model 3

Model 4

Coef.

SE

Coef.

SE

Coef.

SE

Coef.

SE

Intercept

0.471*

0.183

1.147***

0.262

0.426

0.330

0.831

0.435

Question (s)

-

-

− 0.009

0.010

− 0.006

0.010

− 0.004

0.011

Distractor (s)

-

-

− 0.356***

0.059

− 0.296***

0.060

− 0.414**

0.120

Attractor (s)

-

-

0.151***

0.038

0.157***

0.039

0.149*

0.072

Confidence¹

 1

-

-

-

-

0.086

0.272

− 0.389

0.489

 2

-

-

-

-

1.221***

0.290

0.231

0.497

Conf. × Att. ¹

 1

-

-

-

-

-

-

− 0.053

0.085

 2

-

-

-

-

-

-

0.453**

0.166

Conf. × Dist. ¹

 1

-

-

-

-

-

-

0.202

0.137

 2

-

-

-

-

-

-

− 0.109

0.180

Random effects and fit indices

LL

-326.974

-300.675

-280.823

-272.753

Particip. (var)

0.306

0.379

0.342

0.335

Item (var)

0.212

0.021

0.040

0.076

AIC/BIC

659.948/672.592

613.350/638.626

577.645/611.134

569.508/619.742