Testing Methods of Minimum Distance. Controlled Tabular Adjustment

Transcription

1 Testg Methods of Mmum Dstace Cotrolled Tabular Adjustmet Jord Castro, Uversty of Cataluya Departmet of Statstcs ad Operatos Research Sarah GIESSING, Federal Statstcal Offce of Germay Dvso Mathematcal Statstcal Methods

2 Cotrolled Tabular Adjustmet Chage cell value of sestve cells suffcetly, ad adjust values of o-sestve cells mmally to mata addtve table structure: m x subject to x a Ax = b L a x a = 1,, x a lpl or x a + upl Ρ

3 Cotrolled Tabular Adjustmet Chage cell value of sestve cells suffcetly, ad adjust values of o-sestve cells mmally to mata addtve table structure: m x subject to x a Ax = b L a x a = 1,, x a lpl or x a + upl Ρ

4 Cotrolled Tabular Adjustmet Chage cell value of sestve cells suffcetly, ad adjust values of o-sestve cells mmally to mata addtve table structure: m x subject to x a Ax = b L a x a = 1,, x a lpl or x a + upl Ρ

5 Varats tested m + z, z = 1 + ( + ) + ( z ) subject to Az = w z z + z z = 1,, z z = 1,, + z upl z lpl or + z = z = Ρ -dstace m z = 1 subject to Az = wz 2 z z z = 1,, z lpl or z upl Ρ -dstace

6 Cotrolled Tabular Adjustmet Chage cell value of sestve cells suffcetly, ad adjust values of o-sestve cells mmally to mata addtve table structure: m x subject to x a Ax = b L a x a = 1,, x a lpl or x a + upl Ρ ( ) ( β ) 1 a a x 1+ = 1,, Restrcted CTA method

7 Qualty Crtera It should be possble to combe CTA ad cell suppresso procedures CTA must be able to provde a feasble soluto, also whe chages are allowed oly a gve subset of cells.

8 Qualty Crtera It should be possble to combe CTA ad cell suppresso procedures CTA must be able to provde a feasble soluto, also whe chages are allowed oly a gve subset of cells CTA procedure should produce as much accurate formato as cell suppresso, cosderg the data s relevace ad sgfcace Overall, few cells wth relatve chages exceedg fxed threshold (lke 5%, 1%, ) O hgh herarchcal levels: few relatve chages > O(1/), or, or.

9 Test Results Weght Dstace Rage N > Number of hgh-level cells wth large relatve devato Cell suppresso: 888 (2 hgh-level) secodary suppressos 4 1/a CTA Varats Sup cost /log(a) Number of cells by rages of relatve devato adapted to herarchy

10 Test Results Weght Dstace Rage N > Number of hgh-level cells wth large relatve devato Cell suppresso: 888 (2 hgh-level) secodary suppressos 4 1/a CTA Varats Sup cost /log(a) Number of cells by rages of relatve devato adapted to herarchy

11 Devatos to orgal cell values l1 l2 Sup8+CTA prot-sese Heur

12 Test Results Weght Dstace Rage N > Number of hgh-level cells wth large relatve devato Cell suppresso: 888 (2 hgh-level) secodary suppressos 4 1/a CTA Varats Sup cost /log(a) Number of cells by rages of relatve devato adapted to herarchy

13 Test Results Weght Dstace Rage N > Number of hgh-level cells wth large relatve devato Cell suppresso: 888 (2 hgh-level) secodary suppressos 4 1/a CTA Varats Sup cost /log(a) Number of cells by rages of relatve devato adapted to herarchy

14 Test Results Weght Dstace Rage N > Number of hgh-level cells wth large relatve devato Cell suppresso: 888 (2 hgh-level) secodary suppressos 4 1/a CTA Varats Sup cost /log(a) Number of cells by rages of relatve devato adapted to herarchy

15 Test Results Weght Dstace Rage N > Number of hgh-level cells wth large relatve devato Cell suppresso: 888 (2 hgh-level) secodary suppressos 4 1/a CTA Varats Sup cost /log(a) Number of cells by rages of relatve devato adapted to herarchy

16 Future Work Cotue work o weghts Restrcted CTA: develop sutable method to determe adjustmet seses for sestve cells Processg of multvarate data CTA for Table Server

17 Thaks for your atteto

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19 Results