Cell suppression in a special class of linked tables - unece
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Cell suppression in a special class of linked tables - unece
Dec 17, 2007 - 5-digit NACE code à high level region. 2-digit NACE code à detailed region ... Notes. Hierarchies. Need way to define set of linked tables ...
Cell suppression in a special class of linked tables Peter-Paul de Wolf Statistics Netherlands December 17, 2007 Manchester, Great Brittain
Contents Introduction Hierarchies Trees Pure sub Covering Linking Problems Example Notes
Introduction Contents Introduction Hierarchies Trees Pure sub Covering Linking
Problems
Cell suppression Stand alone table
Example Notes
Hierarchically linked tables
Introduction Contents Introduction Hierarchies Trees Pure sub Covering Linking
Problems
Cell suppression Stand alone table
Example Notes
Hierarchically linked tables Subset of generally linked tables
Introduction Contents Introduction Hierarchies Trees Pure sub Covering Linking
Problems
Cell suppression Stand alone table
Example Notes
Hierarchically linked tables Subset of generally linked tables Hierarchically linked Different detail of same hierarchy
Introduction Contents Introduction Hierarchies Trees Pure sub Covering Linking
Problems
Cell suppression Stand alone table
Example Notes
Hierarchically linked tables Subset of generally linked tables Hierarchically linked Different detail of same hierarchy 5-digit NACE code × high level region 2-digit NACE code × detailed region
Introduction Contents Introduction Hierarchies Trees Pure sub Covering Linking
Problems
Cell suppression Stand alone table
Example Notes
Hierarchically linked tables Subset of generally linked tables Hierarchically linked Different detail of same hierarchy 5-digit NACE code × high level region 2-digit NACE code × detailed region 5-digit NACE code × detailed region
Introduction Contents Introduction Hierarchies Trees Pure sub Covering Linking
Problems
Cell suppression Stand alone table
Example Notes
Hierarchically linked tables Subset of generally linked tables Hierarchically linked Different detail of same hierarchy 5-digit NACE code × high level region 2-digit NACE code × detailed region 5-digit NACE code × detailed region
Hierarchies Contents Introduction Hierarchies Trees Pure sub Covering Linking
Problems Example Notes
Need way to define set of linked tables
Hierarchies as trees Contents Introduction Hierarchies Trees Pure sub Covering Linking
S
A
A1 A2
Problems Example Notes
B
B1 B2
B21 B22
C
C1 C2
C21 C22
Pure sub hierarchies Contents Introduction
G
Hierarchies Trees Pure sub
S
A
H1 S
A1
H2 S
A
H3 A1
S
A
Covering Linking
Problems Example
B
A2
B
B1
C
A2 C1
B1
C2
B2
Notes
B2
B21 B22
C
C1 C2
C1 C2
C21 C22
B
Pure sub hierarchies Contents Introduction
G
Hierarchies Trees Pure sub
S
A
H1 S
A1
H2 S
A
H3 A1
S
A
Covering Linking
Problems Example
B
A2
B
B1
C
A2 C1
B1
C2
B2
Notes
B2
B21 B22
C
C1
C1 C2
C2 C21 C22
H1 G
H2 6 G
H3 6 G
B
Covering hierarchies Contents Introduction Hierarchies Trees Pure sub Covering Linking
Problems Example
G covers the set of hierarchies (H1 , . . . , HK )
Notes
if G is the smallest hierarchy with Hi G
∀i = 1, . . . , K
Defining linked tables Contents Introduction Hierarchies Trees Pure sub Covering Linking
Problems Example
User specifies N tables to be protected Tables can be hierarchical
Notes
Tables have M different spanning variables Define M-dimensional table with hierarchies covering user defined hierarchies Use modular approach, disregarding subtables not in user set of tables
Defining linked tables Contents Introduction Hierarchies Trees Pure sub Covering Linking
Problems Example
User specifies N tables to be protected Tables can be hierarchical
Notes
Tables have M different spanning variables Define M-dimensional table with hierarchies covering user defined hierarchies Use modular approach, disregarding subtables not in user set of tables
Defining linked tables Contents Introduction Hierarchies Trees Pure sub Covering Linking
Problems Example Notes
User specifies N tables to be protected Tables can be hierarchical All hierarchies of same variable should be coverable! Tables have M different spanning variables Define M-dimensional table with hierarchies covering user defined hierarchies Use modular approach, disregarding subtables not in user set of tables
Defining linked tables Contents Introduction Hierarchies Trees Pure sub Covering Linking
Problems Example Notes
User specifies N tables to be protected Tables can be hierarchical All hierarchies of same variable should be coverable! Tables have M different spanning variables Define M-dimensional table with hierarchies covering user defined hierarchies Use modular approach, disregarding subtables not in user set of tables
Defining linked tables Contents Introduction Hierarchies Trees Pure sub Covering Linking
Problems Example Notes
User specifies N tables to be protected Tables can be hierarchical All hierarchies of same variable should be coverable! Tables have M different spanning variables Define M-dimensional table with hierarchies covering user defined hierarchies Use modular approach, disregarding subtables not in user set of tables
Defining linked tables Contents Introduction Hierarchies Trees Pure sub Covering Linking
Problems Example Notes
User specifies N tables to be protected Tables can be hierarchical All hierarchies of same variable should be coverable! Tables have M different spanning variables Define M-dimensional table with hierarchies covering user defined hierarchies Use modular approach, disregarding subtables not in user set of tables
Problems Contents Introduction Hierarchies Trees Pure sub Covering Linking
Problems Example Notes
Implicitly defined structure is not protected explicitly
Problems Contents Introduction Hierarchies Trees Pure sub Covering Linking
Problems Example Notes
Implicitly defined structure is not protected explicitly Set of tables completely determines interior of higher dimensional table
Example of problem Contents Introduction Hierarchies Trees Pure sub Covering Linking
Problems Example
A1 A2 Total
B1 30 270 300
B2 150 110 260
B3 70 255 325
Total 250 635 885
A1 A2 Total
C1 140 85 225
C3 100 170 130 400
Total 300 260 325 885
Notes
B1 B2 B3 Total
C1 110 40 75 225
C2 90 50 120 260
C2 50 210 260
C3 60 340 400
Total 250 635 885
Example of problem Contents Introduction Hierarchies Trees Pure sub Covering Linking
Problems Example Notes
A1 A2 Total
B1 30 270 300
B2 B3 150 70 110 255 260 325 Safe!
B1 B2 B3 Total
Total 250 635 885
C1 110 40 75 225
C2 90 50 120 260 Safe!
A1 A2 Total
C1 C2 140 50 85 210 225 260 Safe!
C3 100 170 130 400
Total 300 260 325 885
C3 60 340 400
Total 250 635 885
Example of problem Contents Introduction Hierarchies Trees Pure sub Covering Linking
Problems Example Notes
A1 A2 Total
B1 30 270 300
B2 B3 150 70 110 255 260 325 Safe!
B1 B2 B3 Total
Total 250 635 885
C1 110 40 75 225
C2 90 50 120 260 Safe!
A1 A2 Total
C1 C2 140 50 85 210 225 260 Safe!
C3 100 170 130 400
Total 300 260 325 885
However: interior A × B × C is unique! Any unsafe cell in interior is implicitly disclosed!
C3 60 340 400
Total 250 635 885
Contents Introduction Hierarchies Trees Pure sub Covering Linking
Problems Example Notes
Similarly: suppression pattern can be broken
Contents Introduction Hierarchies Trees Pure sub Covering Linking
Similarly: suppression pattern can be broken
Problems Example Notes
Problem may also occur in current situation Used hierarchy not complete detail
