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. 2025 Aug 23;15:31027. doi: 10.1038/s41598-025-14562-3

Table 1.

Community-level clustering (random effect) and model selection in the use of unimproved sanitation services among households in Ethiopia, 2019 EMDHS.

Variable Null model Model I Model II Model III
Random effect
 Variance 10.44 [8.19, 13.3] 4.95 [3.8, 6.43] 2.33 [1.79, 3.02] 2.2 [1.69, 2.85]
 ICC 0.76 [0.71, 0.80] 0.6 [0.54, 0.66] 0.41 [0.35, 0.48] 0.4 [0.34, 0.46]
 MOR 21.5 8.24 4.35 4.05
 PCV Ref 0.53 0.78 0.79
Model comparison
 Log-likelihood − 2914.6 − 2768.7 − 2741.9 − 2656.5
 Deviance 5829.2 5537.4 5483.8 5312
 Mean VIF – 2.07 3.96 4.17

N.B: ICC = Inter Cluster Correlation coefficient, MOR = Medians Odds Ratio, PCV = Proportional Change in Variance, and VIF = Variance Inflation Factor.