Instrumentation & Measurement Magazine 24-6 - 34

34
IEEE Instrumentation & Measurement Magazine
September 2021
Table 2 - Comparison of the MLMM results
Null model
MLMM A
Fixed-Effect Parameter
β0 (Intercept)
β1
β2
β3
β4
β6
(Number of sessions)
(Game level)
(Affect)
(Disturbances)
β5 (Prev Exp Comp Games)
(Cognitive impairment)
β7 (Type of game)
Covariance Parameter
εti (Residuals repeated measures)
ρ (Auto correlation)
φ0i (Intercept-Variance)
ICC (Between groups)
Variance of intercepts (θD
)
Residual variance (θR
Model Information Criteria
-2 RE/ML log-likelihood
AIC
BIC
)
Estimate (SE)
7.22 (0.78)
0.21 (0.07)
9.55 (4.01)
p-value
0.000
0.008
0.017
9.55/(9.55+7.22)=56%
Diagonal
Autoregressive (AR(1))
Model A
(Null model)
1090.307
1096.307
1106.488
Estimate (SE)
7.22 (0.78)
0.21 (0.07)
9.55 (4.01)
p-value
0.000
0.008
0.017
9.55/(9.55+7.22)= 56%
Diagonal
Autoregressive (AR(1))
Model B
(Time)
1093.50
1099.50
1109.66
Estimate (SE)
5.17 (0.63)
0.07 (0.10)
5.20 (2.66)
p-value
0.000
0.466
0.050
5.20/(5.20+5.17)=50%
Diagonal
Autoregressive (AR(1))
Model C
(Fixed effects Level 1)
727.944
733.944
742.976
Estimate (SE)
+26.68 (0.85)
p-value
0.000
MLMM: Objectives and subjective independent variables
MLMM B
(Time)
Estimate (SE)
+26.32 (0.92)
+0.04 (0.04)
p-value
0.000
0.297
MLMM C
(Fixed effects Level 1)
Estimate (SE)
+19.79 (1.41)
-0.03 (0.04)
+0.18 (0.06)
+0.166 (0.02)
-1.18 (0.51)
p-value
0.000
0.403
0.005
0.000
0.023
MLMM D
Estimate (SE)
+17.78 (1.75)
-0.03 (0.04)
+0.12 (0.056)
+0.15 (0.02)
-1.13 (0.53)
+3.77 (0.86)
+1.34 (1.31)
-0.20 (1.22)
Estimate (SE)
5.27 (0.68)
0.08 (0.10)
0.77 (0.84)
(Fixed effects Levels 1 and 2)
p-value
0.000
0.550
0.041
0.000
0.036
0.008
0.360
0.878
p-value
0.000
0.415
0.363
0.77/(0.77+5.27)=12.7%
Diagonal
Autoregressive (AR(1))
Model D
(Fixed effects Level 2)
639.652
645.652
654.300
MLMM: Subjective
independent variables
MLMM E
Estimate (SE)
18.48 (0.97)
0.04 (0.03)
+0.18 (0.02)
+3.73 (0.66)
1.37 (0.98)
-0.32 (0.52)
Estimate (SE)
5.29 (0.55)
0.08 (0.08)
0.66 (0.51)
(Fixed effects Levels 1 and 2)
p-value
0.000
0.262
0.000
0.000
0.19
0.54
p-value
0.000
0.312
0.192
0.66/(0.66+5.29)=11.09%
Diagonal
Autoregressive (AR(1))
Model E
(Fixed effects Level 2)
942.36
948.36
948.49

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