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Algorithms for Detecting and Resolving Obvious Inconsistencies in Business Survey Data. Sander Scholtus Statistics Netherlands UN ECE Work Session on Statistical Data Editing April 22, 2008. Overview. Selective editing at Statistics Netherlands Sign errors Rounding errors.
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Algorithms for Detecting and Resolving Obvious Inconsistencies in Business Survey Data Sander Scholtus Statistics Netherlands UN ECE Work Session on Statistical Data Editing April 22, 2008
Overview • Selective editing at Statistics Netherlands • Sign errors • Rounding errors
Editing SBS at SN • Selective editing • SLICE • Automatic correction of systematic errors (obvious inconsistencies)
Systematic errors • Currently implemented: • ‘Thousand-error’ • Wrongfully negative value • Empty total with non-empty component items
Obvious inconsistencies • Correcting (obvious) systematic errors in a separate step… • makes the editing process more efficient • makes SLICE more effective
Results block (SBS ≤ 2005) operating returns + operating results + operating costs – financial revenues + operating surplus + financial expenditure – provisions rescinded + balance of provisions + provisions addes – + exceptional income exceptional result + – exceptional expenses pre-tax results
Results block (example 1) 2,100 + 150 + 1,950 – 0 + 10 + 10 – 20 + 15 + 5 – + 50 40 + – 10 195
Results block (example 1) 2,100 + 150 + 1,950 – 0 + 10 + 10 – 20 + 15 + 5 – + 50 40 + – 10 195
Results block (example 1) 2,100 + 150 + 1,950 – 0 + –10 + 10 – 20 + 15 + 5 – + 50 40 + – 10 195
Results block (example 2) 5,100 + 450 + 4,650 – 0 + 130 + 130 – 20 + 20 + 0 – + 15 10 + – 25 610
Results block (example 2) 5,100 + 450 + 4,650 – 0 + 130 + 130 – 20 + 20 + 0 – + 15 10 + – 25 610
Results block (example 2) 5,100 + 450 + 4,650 – 130 + 130 + 0 – 20 + 20 + 0 – + 25 10 + – 15 610
Definition • Sign error / interchanged returns and costs: • at least one edit rule is violated • it is possible to obtain a consistent results block by only changing the signs of balance variables and/or interchanging the values of returns items and costs items
Mathematical formulation • Edit rules: • Find the solution to: • if then change the sign of • if then interchange and
Rounding errors • Linear equalities • Smallest possible violation of edit rule • Virtually no influence on publication figures • SLICE • Separate step