Statistical analysis of rounded data: measurement errors vs rounding errors

We examine estimation of a model of producer behavior in the presence of correlated measurement errors in the regressors. Scale economies and price-cost margins are estimated from a

The second uses cross section data, thus neglecting the panel aspect, but focuses on errors in variables and identifies and estimates a distribution of latent total

The latter uses cross section data, thus neglecting the panel aspect, but focuses on the errors of measurement and identifies and estimates a distribution of latent total

Proportion of fusion errors among single-token non-word misspellings, by essay score, for NS and NNS populations in GRE data (panel A) and NNS TOEFL data (panel B).. Fusion errors

Estimated intention to treat (ITT) and average treatment effects on the treated (ATET) of welfare conditionality (standard errors in parentheses). Standard errors are clustered at

The key idea in our identification strategy has been to estimate the variance of the measurement errors in order to deduce the variance of the companion true variable.

Mean errors, mean absolute errors, maximum absolute errors, and root-mean-square errors relative to the aug-cc-pV5Z level for the cc-pVXZ basis sets and the extrapolation scheme

Measurement errors together with seasonal and spatial gaps in the data used to identify the empirical relationships are considered as two main sources for uncertainties, and