
HLSQ12^{a}

HLSF12 [26]

HLSEUQ16 [11]


Onedimensional

Threedimensional

Onedimensional

Threedimensional

Onedimensional

Threedimensional


Unidimensionality

Proportion (%) of significant ttests (lower CIprop)

8.78% (0.07)
 
8.01% (0.07)
 
10.44% (0.09)
 
PSI

0.767
 
0.759
 
0.830
 
PSI^{b}

0.687
 
0.668
 
0.703
 
Fractal indexes
 
na
 
na
 
na

c

0.50
 
0.39
 
0.46
 
A

0.90
 
0.91
 
0.85
 
r

0.80
 
0.87
 
0.82
 
Total item chi square (df), probability

112.61 (108), 0.361
 
130.21 (108), 0.072
 
208.90 (144), 0.00034
 
Loglikelihoods

Deviance (ep)

18,590 (37)

18,556 (42)

18,707 (37)

18,696 (42)

22,964 (49)

22,815 (54)

AIC (ep)

18,664 (37)

18,640 (42)

18,781 (37)

18,780 (42)

23,062 (49)

22,923 (54)

Reliability

PSR (MLE)

0.762

0.537/0.517/0.575

0.758

0.501/0.497/0.564

0.825

0.713/0.619/0.545

 Note. The table shows the results of the tests of unidimensionality based on paired ttests of personlocation estimates for subsets of items. It also reports fractal indexes, c, A and r. The person separation index (PSI) and fractal indexes were estimated for the complete dataset (HLSQ12 n = 696, HLSF12 n = 680, HLSEUQ47 n = 670). Significant ttests ≤5% (or lower confidence interval [CI] proportion ≤ 5%), small drops in PSI (^{b} after adjusting for violations of local independence due to subtest structure), high values of A and r, and low values of c could indicate unidimensionality. Analyses were performed by using RUMM2030 software
 Loglikelihoods and person separation reliability (PSR) were estimated for the one and threedimensional approaches to the short versions by using ConQuest4 software. Lower values of deviance and AIC indicate a better fit
 AIC: Akaike’s information criterion, ep: number of estimated parameters, na: not applicable, PSR (MLE): person separation reliability based on a marginal maximum likelihood estimate
 All the short versions are developed on the basis of the HLSEUQ47
 ^{a}HLSQ12 developed through the present study