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Table 4 Comparisons of relative model fit indices between LPA models

From: Identifying profiles of students’ school climate perceptions using PISA 2015 data

Model

k

LL

Npar

SCF

AIC

BIC

aBIC

Entropy

p(VLMR-LRT)

p(LMR-LRT)

One profile

1

− 51,597

14

1.8694

103,221

103,317

103,268

1.000

Two profiles

2

− 49,946

22

2.0768

99,937

100,082

100,012

0.845

0.0000

0.0000

Three profiles

3

− 49,111

30

1.6317

98,281

98,479

98,383

0.884

0.0000

0.0000

Four profiles

4

− 48,634

38

1.6838

97,344

97,593

97,473

0.880

0.0000

0.0000

Five profiles

5

− 47,677

46

1.7727

95,446

95,748

95,602

0.839

0.0000

0.0000

Six profiles

6

− 46,288

54

1.4844

92,683

93,038

92,867

0.870

0.0000

0.0000

Seven profiles

7

− 46,073

62

1.4800

92,270

92,678

92,481

0.869

1.0000

1.0000

  1. k number of profiles, LL Loglikelihood, Npar Number of parameters, SCF scaling correction factor (Satorra and Bentler 2010), AIC Akaike’s information criterion, BIC Bayesian information criterion, aBIC sample-size adjusted Bayesian information criterion, VLMR-LRT Vuong-Lo Mendell-Rubin Likelihood Ratio test, LMR-LRT Lo-Mendell-Rubin Likelihood Ratio test