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Table 4 Results from random intercept model: Measures of variation Variance Partition Coefficient (VPC) and Inter Class Correlation (ICC)

From: Why under five children are stunted in Pakistan? A multilevel analysis of Punjab Multiple indicator Cluster Survey (MICS-2014)

Models

Model 1

Model 2

Model 3

Model 4

Standard Deviation

−2 SD

−3 SD

−2 SD

− 3 SD

−2 SD

− 3 SD

-2 SD

-3 SD

Variance Partition Coefficient (VPC)

VPChh = \( \frac{\sigma_{hh}^2}{\sigma_{distt}^2+{\sigma}_{comm}^2+{\sigma}_{hh}^2+\uppi 2/3} \)

0.22

0.21

0.37

0.41

0.38

0.40

0.38

0.42

VPCcomm = \( \frac{\sigma_{comm}^2}{\sigma_{distt}^2+{\sigma}_{comm}^2+{\sigma}_{hh}^2+\uppi 2/3} \)

0.10

0.10

0.03

0.03

0.04

0.03

0.03

0.03

VPCdistt = \( \frac{\sigma_{distt}^2}{\sigma_{distt}^2+{\sigma}_{comm}^2+{\sigma}_{hh}^2+\uppi 2/3} \)

0.07

0.08

0.007

0.02

0.006

0.02

0.007

0.003

Intra Class Correlation (ICC)

ICCcomm = \( \frac{\sigma_{distt}^2+{\sigma}_{comm}^2}{\sigma_{distt}^2+{\sigma}_{comm}^2+{\sigma}_{hh}^2+\uppi 2/3} \)

0.17

0.19

0.03

0.05

0.03

0.05

0.03

0.03

ICCdistt = \( \frac{\sigma_{distt}^2}{\sigma_{distt}^2+{\sigma}_{comm}^2+{\sigma}_{hh}^2+\uppi 2/3} \)

0.07

0.08

0.007

0.02

0.006

0.02

0.007

0.003

  1. Note: total variance = \( {\sigma}_{distt}^2+{\sigma}_{comm}^2+{\sigma}_{hh}^2 \) + π2/3