Table 2 Fit indices for latent profile analysis for Discovery Set (n = 661) and LPA-Replication Set (n = 169)

Discovery

1

44,000.794

44,081.682

44,024.531

2

43,174.626

43,300.452

43,211.551

0.791

833.335

 < 0.001

 − 21,982.397

 < 0.001

0.31/0.69

3

42,967.633

43,138.396

43,017.745

0.747

223.551

 < 0.001

 − 21,559.313

 < 0.001

0.15/0.29/0.56

4

42,932.819

43,148.519

42,996.117

0.645

53.983

0.48

 − 21,445.817

 < 0.001

0.16/0.30/0.28/0.26

5

42,888.194

43,148.831

42,964.680

0.660

63.645

0.12

 − 21,418.409

 < 0.001

0.21/0.06/0.33/0.22/0.18

LPA-Replication

(T1)

1

11,678.640

11,734.979

11,677.985

2

11,476.226

11,563.863

11,475.207

0.853

218.162

 < 0.001

 − 5821.320

 < 0.001

0.25/0.75

3

11,434.379

11,553.315

11,432.996

0.766

60.665

0.07

 − 5710.113

 < 0.001

0.19/0.54/0.27

4

11,419.953

11,570.188

11,418.206

0.798

33.768

0.50

 − 5679.189

 < 0.001

0.52/0.20/0.13/0.15

5

11,415.366

11,596.901

11,413.256

0.808

24.116

0.59

 − 5661.976

0.29

0.06/0.15/0.12/0.50/0.16

LPA-Replication

(T2)

1

11,666.054

11,722.392

11,665.399

2

11,494.283

11,581.920

11,493.264

0.707

188.104

0.13

 − 5815.027

 < 0.001

0.47/0.53

3

11,436.208

11,555.144

11,434.825

0.832

76.582

0.03

 − 5719.141

 < 0.001

0.09/0.61/0.30

4

11,426.091

11,576.326

11,424.344

0.808

29.542

0.51

 − 5680.104

0.04

0.11/0.11/0.52/0.26

5

11,420.235

11,601.770

11,418.125

0.830

25.361

0.46

 − 5665.045

0.24

0.03/0.13/0.51/0.10/0.23

LPA-Replication

(T3)

1

11,737.553

11,793.892

11,736.898

2

11,515.588

11,603.225

11,514.569

0.762

237.339

0.14

 − 5850.777

 < 0.001

0.43/0.57

3

11,423.722

11,542.658

11,422.339

0.851

109.727

 < 0.001

 − 5729.794

 < 0.001

0.07/0.57/0.36

4

11,416.320

11,566.555

11,414.573

0.796

26.878

0.72

 − 5673.861

0.07

0.07/0.50/0.20/0.23

5

11,399.125

11,580.659

11,397.014

0.793

36.484

0.11

 − 5660.160

 < 0.001

0.06/0.29/0.22/0.30/0.13

Discovery + LPA-Replication

(T1)

1

55,688.616

55,773.602

55,716.440

2

54,660.445

54,792.645

54,703.727

0.795

1032.806

 < 0.001

 − 27,826.308

 < 0.001

0.28/0.72

3

54,410.132

54,589.546

54,468.871

0.740

266.351

 < 0.001

 − 27,302.222

 < 0.001

0.15/0.59/0.26

4

54,358.213

54,584.841

54,432.410

0.639

70.864

0.27

 − 27,167.066

 < 0.001

0.17/0.28/0.32/0.23

5

54,304.098

54,577.941

54,393.754

0.669

73.028

0.04

 − 27,131.106

 < 0.001

0.04/0.21/0.19/0.20/0.36