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Cross-sectional Unbiasedness of the Distorted Data

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The distribution of the infused noise is symmetric, and allocation of the noise factors is random. The data distribution resulting from the noise infusion should thus be unbiased. We compute the bias ΔX in each cell kt, expressed in percentage terms:

Table 2.1 Distribution of errors Δr in first-order serial correlation, QWI.

Variable Median Semi-interquartile range
Accessions −0.000 542 0.026 314
Beginning-of-quarter employment 0.000 230 0.021 775
Full-quarter employment 0.000 279 0.018 830
Net job flows −0.000 025 0.002 288
Separations 0.000 797 0.025 539

Evidence of unbiasedness is provided by Figure 2.2, which shows the distribution of the bias for X = B. 11 The distribution of ΔB has most mass around the mode at 0%. Also, as is to be expected, secondary spikes are present around ±c, the inner bound of the noise distribution.

Administrative Records for Survey Methodology

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