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

Table 2. Results of multilevel modeling for perceived physical exertion (PE).

PE0: Intercept Only PE1: + Level 1 Predictors PE2: + Level 2 Predictorse PE3: + Random Coefficients PE4: + 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 -0.01 [0.14] 54 .97 -0.01 [0.11] 42 .92 - - - -0.01 [0.11] 43 .9 -0.04 [0.11] 43 .70
2. Entropy of transitions 0.15 [0.10] 42 .11 - - - 0.14 [0.09] 43 .11 0.15 [0.08] 43 .06
3. Burstiness of transitions -0.07 [0.12] 42 .57 - - - -0.6 [0.10] 43 .58 -0.03 [0.09] 43 .76
4. Time speaking outside of main work areas -0.02 [0.10] 42 .84 - - - 0.03 [0.09] 43 .71 0.03 [0.09] 43 .78
5. Volume while speaking at nursing stations 0.07 [0.09] 42 .44 - - - 0.02 [0.14] 43 .87 0.05 [0.13] 43 .68
6. Time at nursing stations 0.16 [0.10] 42 .14 - - - 0.16 [0.10] 43 .10 0.17 [0.09] 43 .08
7. Environmental noise in service areas 0.19 [0.09] 42 .04 - - - 0.19 [0.08] 43 .03 0.18 [0.08] 43 .03
8. Time walking in patient rooms 0.09 [0.10] 42 .36 - - - 0.12 [0.09] 43 .18 0.12 [0.09] 43 .18
9. Temperature in service areas -0.04 [0.09] 42 .62 - - - -0.04 [0.09] 43 .65 -
10. Entropy of transitions x Burstiness of transitions 0.19 [0.09] 42 .04 - - - 0.23 [0.07] 43 .004 0.22 [0.07] 43 .003
11. Time speaking outside of main work areas x Time at nursing stations 0.38 [0.11] 42 < .001 - - - 0.38 [0.10] 43 < .001 0.37 [0.09] 43 < .001
12. Environmental noise in service areas x Time walking in patient rooms -0.23 [0.10] 42 .02 - - - -0.21 [0.08] 43 .01 -0.19 [0.08] 43 .02
13. Volume while speaking at nursing stations x Temperature in service areas -0.14 [0.07] 42 .04 - - - -0.02 [0.08] 43 .86 - -
14. Average patient load -0.05 [0.11] 33 .68
15. Average patient load x Volume while speaking at nursing stations 0.30 [0.13] 43 .02
Random Components
Between shift variance (σ2e) 0.55 [0.74] 0.19 [0.45] - - 0.26 [0.51] 0.25 [0.50]
Within shift / residual variance (σ2u0) 0.42 [0.65] 0.32 [0.56] - - 0.16 [0.40] 0.20 [0.45]
Slope variation (Volume while speaking at nursing stations) 0.27 [0.52] 0.16 [0.40]
Variance Modelledc
Level 1: R2Within Shift 0.24 - - 0.62 0.52
Level 2: R2Between Shift 0.65 - - 0.53 0.55
Ran. Coef.: R2 Slope: Volume spkng at RN statns 0 0.41
Model Fit
Deviance (-2 * Log likelihood ratio)d 226.59 183.34 174.25 168.55
L. Ratio χ2(1) = 24.98,
p < .001
χ2(12) = 43.25,
p < .001
χ2(2) = 9.08,
p < .05
f

aThere were 89 shift segments nested within 35 shifts.

b Terms 2–9 are Level 1 main effects; Terms 10–13 are level 1 interactions; Term 14 is a Level 2 main effect; Term 15 is a cross-level interaction.

cProportion of variance explained for Level 1 (within shifts) and Level 2 (between shifts) were calculated relative to PE0, th model with only a grouping variable; Proportion of slope variation explained was calculated relative to PE3, the model with random coefficients, but no cross-level interactions.

dReduction in model deviance was tested as follows: PE0 contained only the shift grouping variable and was tested against a model without the grouping variable; PE1 included Level 1 sensor-based measures and was tested against PE0; PE2 included Level 2 task demand fixed effects and was compared to PE1; PE3 included random coefficients for Level 1 sensor-based measures and was evaluated relative to PE2, the model without random coefficients; PE4 included cross level interactions between Level 1 and Level 2 predictors and was evaluated relative to PE3.

eNo Level 2 task demand variables were retained as significant in PE2. Therefore, PE2 = PE1.

fFor PE4, model deviance was reduced, but model complexity (due to the loss of degrees of freedom by the inclusion of nonsignificant main effects for significant interactions) precluded significance testing