A new method

a modified EM algorithm based on the mean interpolation method

was proposed to estimate the missing data

which was caused by the zerosor rounded zerosin compositional after the log-ration transformation.This method first used a Bootstrap sampling technique in the data of the columns which contained missing data.Then missing data were estimated by applying the EM Algorithm with the mean of the samples as its initial value.Finally original zeros were estimated in compositional dada using the inverse transformation of log-ration transformation into the estimation of missing data.The experimental results illustrate that modified EM algorithms based on the mean interpolation has less computation and simple operation.So it can be considered as a good imputation method when the size of sample or the rate of missing is large.