Appendix C Formulas for calculating revision summary statistics

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The formulas for the summary statistics are calculated using the following terminology:

j=1...n: number of reference time points in the analysis period
F: final estimate for reference period t
P: initial (earlier) estimate for reference period t
R: F − P, value of revision (over a specified interval being analyzed)

Mean revision = ΣR_j / N

Mean absolute revision = Σ ABS(R_j) / N

Median revision = Me(R_j)

Median absolute revision = Me(ABS(R_j))

Relative mean absolute revision = { Σ ABS(R_j) / Σ ABS(F_j) } × 100
(also called relative dispersion)

Variance = (1/N) { Σ[R_j − (Σ R_j / N)]² }

Standard deviation = [(1/N) { Σ[R_j − (Σ R_j / N)]² }] ^1/2

Skewness = 3(µ − Me) / SDR