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Table 4 Model BIC values for considering different number and geometric features of clusters

From: Automated recognition of spontaneous facial expression in individuals with autism spectrum disorder: parsing response variability

A

Number of clusters

EII

VII

EEI

VEI

EVI

VVI

EEE

EVE

VEE

VVE

EEV

VEV

EVV

VVV

1

329.78

329.78

341.9

341.9

341.9

341.9

403.31

403.31

403.31

403.31

403.31

403.31

403.31

403.31

2

376.6

373.22

415.86

427.14

425.03

440.7

434.82

438.81

444.605

450.14

438.38

452.6205

437.93

453.95

3

406.28

411.32

413.85

429.21

440.04

440.02

421.63

443.24

434.301

411.5

450.51

436.6

442.15

434.24

4

404.88

433.3

443.2

433.52

428.52

430.11

441.53

427.6

431.14

433.36

438.25

430.14

425.19

418.89

5

398.21

426.21

440.49

427.24

411.01

408.63

427.07

423.25

440.24

414.86

431.7

414.98

422.75

400.51

6

389.66

425.29

426.22

417.25

391.91

401.25

412.56

420.74

424.87

395.56

416.85

398.13

405.2

394.02

7

376.13

410.3

411.71

395.8

392.15

386.09

406.97

417.57

400.4

384.73

409.35

385.69

394.08

369.96

8

393.65

403.24

403.08

390.8

389.57

373.56

414.45

413.31

394.81

375.29

404.46

378.46

384.64

354.54

9

386.29

386.79

392.99

386.61

373.08

352.27

402.13

395.38

381.66

358.28

390.7

357.03

371.26

328.17

B

Acronym of clusters and their corresponding geometric features are tabulated below:

Model

Σk

Distribution

Volume

Shape

EII

λI

Spherical

Equal

Equal

VII

λkI

Spherical

Variable

Equal

EEI

λA

Diagonal

Equal

Equal

VEI

λkA

Diagonal

Variable

Equal

EVI

λAk

Diagonal

Equal

Variable

VVI

λkAk

Diagonal

Variable

Variable

EEE

λDAD

Ellipsoidal

Equal

Equal

EVE

λDAkD

Ellipsoidal

Equal

Variable

VEE

λkDAD

Ellipsoidal

Variable

Equal

VVE

λkDAkD

Ellipsoidal

Variable

Variable

EEV

λDkADk

Ellipsoidal

Equal

Equal

VEV

λkDkA Dk

Ellipsoidal

Variable

Equal

EVV

λDkAkDk

Ellipsoidal

Equal

Variable

VVV

λkDkAkDk

Ellipsoidal

Variable

Variable