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Table 2 Compositional means of complete dataset and datasets with replaced zeros

From: Zero problems with compositional data of physical behaviors: a comparison of three zero replacement methods

  

Compositional mean in minutes/day

Replacement method

SB

Standing

Walking

Running

Stairs

TIB

Complete dataset

 

516.04

350.54

124.63

1.53

6.14

441.12

20% zeros, Replacement value of 0.5 minA

SR

514.01

350.52

124.62

1.62

6.14

441.09

MR

516.01

350.53

124.62

1.60

6.14

441.10

lrEM

516.04

350.54

124.63

1.54

6.14

441.12

20% zeros, Considering observation thresholdB

SR

516.04

350.54

124.63

1.53

6.14

441.12

MR

516.04

350.54

124.63

1.54

6.14

441.12

lrEM

516.05

350.54

124.63

1.53

6.14

441.12

10% zeros, Replacement value of 0.5 minA

SR

516.03

350.53

124.62

1.58

6.14

441.10

MR

516.01

350.52

124.62

1.62

6.14

441.09

lrEM

516.04

350.54

124.63

1.54

6.14

441.12

10% zeros, Considering observation thresholdB

SR

516.04

350.54

124.63

1.53

6.14

441.12

MR

516.04

350.54

124.63

1.53

6.14

441.12

lrEM

516.05

350.54

124.63

1.53

6.14

441.12

  1. MR Multiplicative replacement method, lrEM log-ratio Expectation-Maximization replacement method, SB sedentary behavior, SR simple replacement method, TIB time in bed. ASR and MR use 0.5 min for replacement, whereas lrEM estimates a value below the observation threshold. BSR and MR use 65% the observation threshold for replacement, whereas lrEM estimates a value below the observation threshold