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Table 5 Item fit statistics for RM and GLLRM respectively

From: Measurement of alienation among adolescents: construct validity of three scales on powerlessness, meaninglessness and social isolation

  

RM

GLLRM

Alienation dimension & item

Observed gamma coefficients

Expected gamma coefficients

sd

p

Expected gamma coefficients

sd

p

Powerlessness

       

Cannot overcome problems

0.702

0.633

0.024

< 0.001*

0.696

0.021

0.761

Cannot manage things

0.674

0.631

0.024

0.0781

0.694

0.021

0.363

Feeling helpless

0.493

0.633

0.025

< 0.0001*

0.489

0.032

0.903

Meaninglessness

       

Things have no meaning

0.570

0.462

0.020

< 0.0001*

0.563

0.018

0.686

Not knowing what is going on

0.570

0.456

0.020

< 0.0001*

0.575

0.018

0.807

School is not preparing me for the future

0.242

0.454

0.021

< 0.0001*

0.240

0.024

0.937

Social isolation

       

Feeling left out

0.684

0.547

0.024

< 0.0001*

0.682

0.019

0.922

Not feeling close to family

0.533

0.563

0.027

0.265

0.514

0.029

0.518

No support when unhappy

0.587

0.586

0.029

0.974

0.602

0.029

0.603

Feeling lonely

0.618

0.535

0.022

< 0.001*

0.613

0.020

0.770

Not belonging

0.385

0.550

0.021

< 0.0001*

0.397

0.025

0.625

  1. *Significant differences between the expected and actually observed gamma coefficients on a 1% level of significance