In this article, we suggest using the sample entropy to fit the structural measurement error model. Using sample entropy in data analysis can be considered as a data screening to avoid problem in the data such as heteroscedasticity and co-linearity. The measurement error model is fitted under the assumption that the intercept is known. The mathematical derivation of the slope and its properties are given. An illustration using real data analysis to fit the relationship between happiness rate and human development index is given. The data analysis showed that there is a positive effect of human development index on happiness rate.
Structural Measurement Error Model, Sample Entropy, Happiness Rate, Human Development
Index, Taylor Expansion.