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. 2018 Oct 12;13(10):e0204819. doi: 10.1371/journal.pone.0204819

Table 1. Results of multilevel modeling for perceived mental exertion (ME).

ME0: Intercept Only ME1: + Level 1 Predictors ME2: + Level 2 Predictors ME3: + Random Coefficients ME4: + Cross-level Interactions
Fixed Componentsa,b
Predictor ß [S.E.] df p ß [S.E.] df p ß [S.E.] df p ß [S.E.] df p ß [S.E.] df p
1. Intercept 0.02 [0.15] 54 .90 -0.23 [0.18] 50 .21 -0.23 [0.17] 50 .20 -0.10 [0.18] 49 .58 -0.19 [0.17] 48 .26
2. Environmental noise in patient rooms - - - 0.28 [0.12] 50 .02 0.27 [0.12] 50 .02 0.27 [0.10] 49 .008 0.30 [0.10] 48 .003
3. Time outside of main work areas - - - 0.87 [0.67] 50 .20 0.73 [0.66] 50 .27 -0.16 [0.81] 49 .84 0.23 [0.76] 48 .76
4. Activity level outside of main work areas - - - -0.33 [0.20] 50 .11 -0.36 [0.19] 50 .07 -0.30 [0.18] 49 .09 -0.32 [0.17] 48 .08
5. Time outside of main work areas x Activity level outside of main work areas - - - 2.01 [0.84] 50 .02 2.10 [0.81] 50 .01 2.34 [0.75] 49 .003 2.24 [0.73] 48 .004
6. Burstiness of speaking - - - - - - - - 0.08 [0.12] 49 .54 0.03 [0.11] 48 .78
7. Patients on an insulin drip - - - - - 0.30* [0.12] 33 .01 0.05 [0.12] 33 .68 0.05 [0.11] 33 .64
8. Patients on an insulin drip x Burstiness of speaking - - - - - - - - - - - 0.19 [0.07] 48 .01
Random Components
Between-shift variance (σ2e) 0.64 [0.80] 0.46 [0.68] 0.36 [0.60] 0.22 [0.47] 0.17 [0.41]
Within-shift / residual variance (σ2u0) 0.38 [0.62] 0.35 [0.59] 0.35 [0.59] 0.35 [0.59] 0.36 [0.60]
Slope variation (Burstiness of speaking) 0.08 [0.29] 0.02 [0.15]
Variance Modelledc
Level 1: R2Within Shift 0.08 0.05 0.05 0.05
Level 2: R2Between Shift 0.28 0.44 0.66 0.73
Ran. Coef.: R2slope: Burstiness of speaking 0 .75
Model Fit
Deviance (-2 * Log likelihood ratio)d 224.2 210.00 203.40 195.47 190.43
L. Ratio χ2(1) = 27.30,
p < .001
χ2(4) = 14.27,
p < .01
χ2(1) = 6.60,
p < .05
χ2(3) = 7.93,
p = .05
χ2(1) = 5.04,
p < .05

aThere were 89 shift segments nested within 35 shifts.

bTerms 2–4, and 6 are Level 1 main effects; Term 5 is a Level 1 interaction; Term 7 is a Level 2 main effect; term 8 is a cross-level interaction.

cProportion of variance explained for Level 1 (within shifts) and Level 2 (between shifts) were calculated relative to ME0, the model with only a grouping variable; Proportion of slope variation explained was calculated relative to ME3, the model with random coefficients, but no cross-level interactions.

d Reduction in model deviance was tested as follows: ME0 contained only the shift grouping variable and was tested against a model without the grouping variable; ME1 included Level 1 sensor-based measures and was tested against ME0; ME2 included Level 2 task demand fixed effects and was compared to ME1; ME3 included random coefficients for Level 1 sensor-based measures and was evaluated relative to ME2, the model without random coefficients; ME4 included cross level interactions between Level 1 and Level 2 predictors and was evaluated relative to ME3.