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Table 4 Model selection for PRLT performance, including SOGS severity

From: Decision-making inflexibility in a reversal learning task is associated with severity of problem gambling symptoms but not with a diagnosis of substance use disorder

Model

Fixed factors

df

AIC

χ2

p

 

Model

Fixed factors

df

AIC

χ2

p

Sat. (0.b)

Model 3 plus SOGS and its interactions with Phase and Log-trial

19

10,418

   

Sat

(0.c)

Model 3 plus Group and Group × Phase plus SOGS and its interactions with Phase and Log-trial

23

10,421

  

4b

0.b minus SOGS × Phase × Log-trial

16

10,415

2.81

0.422

(4 ≥ 0.b)

 

6b

0.c minus SOGS × Phase × Log-trial

20

10,418

0.82

0.420

(6 ≥ 0.c)

5.1a,b

Model 4 minus SOGS × Log-trial

15

10,414

0.59

0.443 (5.1 ≥ 4)

 

7.1a,b

Model 6 minus SOGS × Log-trial

19

10,417

0.59

0.444 (7.1 ≥ 6)

5.2b

Model 4 minus Phase × Log-trial

13

10,428

19.05

 < 0.001 (4 > 5.2)

 

7.2b

Model 6 minus Phase × Log-trial

17

10,431

19.05

 < 0.001 (6 > 7.2)

5.3b

Model 4 minus Phase × SOGS

13

10,418

8.34

0.039

(4 ≥ 5.3)

 

7.3b

Model 6 minus Phase × SOGS

17

10,421

8.43

0.038

(6 ≥ 7.3)

  1. Significant p values are in italics
  2. aBest fitting model
  3. bAlmost-singular fit: given the risk of overfitting, parameters will be estimated in both best-fitting and saturated (0.b and 0.c) models. See also footnote 2
  4. Sat Saturated