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Appendix B.
This Appendix contains tables of the probability-weighted number and percentage of data zones classified as highly deprived (within most deprived 15% according to the SIMD rank) for each local authority under the original SIMD algorithm in comparison with groups of alternative methods, with probabilities of each data zone being severely deprived estimated from application of each method to 1,000 simulated indicator datasets.
Local Authority | Total | Shrinkage Method |
|---|
Original | None | National | IG | Rural Group |
|---|
N | N (%) | N (%) | N (%) | N (%) | N (%) |
|---|
Glasgow City | 694 | 369.8 (53.3) | 362.4 (52.2) | 362.2 (52.2) | 362.4 (52.2) | 365.0 (52.6) |
|---|
Inverclyde | 110 | 36.0 (32.7) | 35.3 (32.1) | 35.3 (32.1) | 36.3 (33.0) | 35.0 (31.8) |
|---|
Dundee City | 179 | 52.8 (29.5) | 52.2 (29.2) | 51.9 (29.0) | 53.9 (30.1) | 53.2 (29.7) |
|---|
West Dunbartonshire | 118 | 32.0 (27.2) | 31.3 (26.5) | 31.4 (26.6) | 31.9 (27.0) | 31.7 (26.9) |
|---|
North Lanarkshire | 418 | 102.8 (24.6) | 98.4 (23.5) | 100.6 (24.1) | 95.7 (22.9) | 101.4 (24.3) |
|---|
Renfrewshire | 214 | 41.8 (19.5) | 42.4 (19.8) | 42.2 (19.7) | 42.5 (19.8) | 43.2 (20.2) |
|---|
North Ayrshire | 179 | 33.5 (18.7) | 33.5 (18.7) | 33.5 (18.7) | 33.5 (18.7) | 33.1 (18.5) |
|---|
East Ayrshire | 154 | 26.8 (17.4) | 27.3 (17.7) | 26.7 (17.3) | 27.5 (17.9) | 25.5 (16.5) |
|---|
South Lanarkshire | 398 | 65.7 (16.5) | 65.2 (16.4) | 66.4 (16.7) | 63.2 (15.9) | 66.0 (16.6) |
|---|
Clackmannanshire | 64 | 10.3 (16.0) | 10.1 (15.7) | 10.3 (16.0) | 9.4 (14.6) | 10.0 (15.6) |
|---|
Edinburgh, City of | 549 | 60.3 (11.0) | 61.7 (11.2) | 61.0 (11.1) | 62.4 (11.4) | 61.8 (11.3) |
|---|
South Ayrshire | 147 | 13.2 (9.0) | 14.5 (9.8) | 13.8 (9.4) | 15.3 (10.4) | 13.2 (9.0) |
|---|
Fife | 453 | 32.1 (7.1) | 33.2 (7.3) | 33.6 (7.4) | 33.7 (7.4) | 32.8 (7.2) |
|---|
Argyll & Bute | 122 | 8.6 (7.0) | 9.2 (7.5) | 9.0 (7.4) | 9.2 (7.5) | 8.8 (7.2) |
|---|
Falkirk | 197 | 14.0 (7.1) | 14.2 (7.2) | 14.1 (7.1) | 13.4 (6.8) | 14.0 (7.1) |
|---|
Aberdeen City | 267 | 17.4 (6.5) | 19.8 (7.4) | 18.4 (6.9) | 20.7 (7.8) | 19.3 (7.2) |
|---|
Stirling | 110 | 6.5 (5.9) | 6.9 (6.2) | 6.9 (6.3) | 6.7 (6.1) | 6.4 (5.8) |
|---|
Dumfries & Galloway | 193 | 9.8 (5.1) | 11.4 (5.9) | 11.1 (5.8) | 10.6 (5.5) | 9.7 (5.0) |
|---|
West Lothian | 211 | 9.7 (4.6) | 9.2 (4.3) | 10.1 (4.8) | 9.2 (4.4) | 9.6 (4.6) |
|---|
East Renfrewshire | 120 | 5.5 (4.6) | 6.2 (5.2) | 6.3 (5.3) | 6.1 (5.1) | 6.4 (5.3) |
|---|
East Dunbartonshire | 127 | 3.4 (2.7) | 3.8 (3.0) | 3.8 (3.0) | 3.7 (2.9) | 3.7 (2.9) |
|---|
Highland | 292 | 9.7 (3.3) | 10.7 (3.7) | 10.6 (3.6) | 11.4 (3.9) | 10.0 (3.4) |
|---|
Angus | 142 | 3.4 (2.4) | 4.4 (3.1) | 4.1 (2.9) | 4.4 (3.1) | 4.0 (2.8) |
|---|
Perth & Kinross | 175 | 3.6 (2.0) | 4.1 (2.3) | 4.0 (2.3) | 4.1 (2.3) | 3.9 (2.3) |
|---|
Scottish Borders | 130 | 2.0 (1.6) | 2.4 (1.8) | 2.3 (1.8) | 2.6 (2.0) | 2.2 (1.7) |
|---|
Midlothian | 112 | 1.1 (1.0) | 1.1 (1.0) | 1.1 (1.0) | 1.2 (1.0) | 1.1 (1.0) |
|---|
Aberdeenshire | 301 | 2.6 (0.9) | 3.7 (1.2) | 3.5 (1.2) | 3.6 (1.2) | 3.4 (1.1) |
|---|
East Lothian | 120 | 0.6 (0.5) | 0.7 (0.5) | 0.7 (0.6) | 0.5 (0.4) | 0.6 (0.5) |
|---|
Eilean Siar | 36 | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) |
|---|
Moray | 116 | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) |
|---|
Orkney Islands | 27 | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) |
|---|
Shetland Islands | 30 | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) |
|---|
Table B.1.Number of data zones in each LA, and probability-weighted number (%) of data zones amongst the 15% most deprived data zones nationally, according to the SIMD calculated using the original method and alternative univariate shrinkage options
Local Authority | Total | Transformation used prior to Factor Analysis |
|---|
None | Rank +Normal | Rank | Rank +Exponential |
|---|
N | N (%) | N (%) | N (%) | N (%) |
|---|
Glasgow City | 694 | 369.8 (53.3) | 367.0 (52.9) | 368.2 (53.0) | 371.5 (53.5) |
|---|
Inverclyde | 110 | 36.0 (32.7) | 35.7 (32.4) | 36.3 (33.0) | 35.6 (32.3) |
|---|
Dundee City | 179 | 52.8 (29.5) | 52.8 (29.5) | 52.8 (29.5) | 52.4 (29.3) |
|---|
West Dunbartonshire | 118 | 32.0 (27.2) | 31.3 (26.5) | 32.6 (27.6) | 31.3 (26.6) |
|---|
North Lanarkshire | 418 | 102.8 (24.6) | 103.5 (24.8) | 103.4 (24.7) | 101.3 (24.2) |
|---|
Renfrewshire | 214 | 41.8 (19.5) | 41.9 (19.6) | 42.5 (19.9) | 41.1 (19.2) |
|---|
North Ayrshire | 179 | 33.5 (18.7) | 33.4 (18.6) | 33.7 (18.8) | 33.0 (18.4) |
|---|
East Ayrshire | 154 | 26.8 (17.4) | 27.0 (17.6) | 27.1 (17.6) | 26.9 (17.5) |
|---|
South Lanarkshire | 398 | 65.7 (16.5) | 65.5 (16.4) | 66.8 (16.8) | 64.7 (16.3) |
|---|
Clackmannanshire | 64 | 10.3 (16.0) | 10.1 (15.8) | 10.2 (16.0) | 9.9 (15.5) |
|---|
Edinburgh, City of | 549 | 60.3 (11.0) | 60.4 (11.0) | 59.9 (10.9) | 61.4 (11.2) |
|---|
South Ayrshire | 147 | 13.2 (9.0) | 14.1 (9.6) | 12.7 (8.6) | 13.9 (9.4) |
|---|
Fife | 453 | 32.1 (7.1) | 31.4 (6.9) | 32.7 (7.2) | 31.4 (6.9) |
|---|
Argyll & Bute | 122 | 8.6 (7.0) | 8.8 (7.2) | 8.5 (6.9) | 8.8 (7.2) |
|---|
Falkirk | 197 | 14.0 (7.1) | 13.6 (6.9) | 14.0 (7.1) | 13.9 (7.1) |
|---|
Aberdeen City | 267 | 17.4 (6.5) | 18.1 (6.8) | 16.3 (6.1) | 18.9 (7.1) |
|---|
Stirling | 110 | 6.5 (5.9) | 6.7 (6.1) | 6.5 (5.9) | 6.7 (6.0) |
|---|
Dumfries & Galloway | 193 | 9.8 (5.1) | 10.4 (5.4) | 9.3 (4.8) | 10.1 (5.3) |
|---|
West Lothian | 211 | 9.7 (4.6) | 9.3 (4.4) | 9.9 (4.7) | 9.2 (4.3) |
|---|
East Renfrewshire | 120 | 5.5 (4.6) | 5.6 (4.7) | 5.6 (4.6) | 5.6 (4.6) |
|---|
East Dunbartonshire | 127 | 3.4 (2.7) | 3.3 (2.6) | 3.5 (2.8) | 3.3 (2.6) |
|---|
Highland | 292 | 9.7 (3.3) | 10.9 (3.7) | 9.3 (3.2) | 10.3 (3.5) |
|---|
Angus | 142 | 3.4 (2.4) | 3.8 (2.7) | 3.5 (2.4) | 3.7 (2.6) |
|---|
Perth & Kinross | 175 | 3.6 (2.0) | 3.8 (2.1) | 3.4 (2.0) | 3.7 (2.1) |
|---|
Scottish Borders | 130 | 2.0 (1.6) | 2.1 (1.6) | 2.0 (1.5) | 2.1 (1.6) |
|---|
Midlothian | 112 | 1.1 (1.0) | 1.1 (1.0) | 1.1 (1.0) | 1.1 (1.0) |
|---|
Aberdeenshire | 301 | 2.6 (0.9) | 3.0 (1.0) | 2.6 (0.9) | 2.8 (0.9) |
|---|
East Lothian | 120 | 0.6 (0.5) | 0.4 (0.3) | 0.6 (0.5) | 0.4 (0.4) |
|---|
Eilean Siar | 36 | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) |
|---|
Moray | 116 | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) |
|---|
Orkney Islands | 27 | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) |
|---|
Shetland Islands | 30 | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) |
|---|
Table B.2.Number of data zones in each LA, and probability-weighted number (%) of data zones amongst the 15% most deprived data zones nationally, according to the SIMD calculated using the original method (Rank + Normal transformation) and methods using factor analysis applied to alternative transformations of component indicator variables
Local Authority | Total | Original | Transformation used prior to PCA |
|---|
Rank + Normal | None | Rank | Rank + Exponential |
|---|
N | N (%) | N (%) | N (%) | N (%) | N (%) |
|---|
Glasgow City | 694 | 369.8 (53.3) | 374.4 (54.0) | 374.2 (53.9) | 372.0 (53.6) | 376.7 (54.3) |
|---|
Inverclyde | 110 | 36.0 (32.7) | 35.3 (32.1) | 31.2 (28.4) | 35.7 (32.5) | 34.9 (31.7) |
|---|
Dundee City | 179 | 52.8 (29.5) | 55.2 (30.9) | 55.7 (31.1) | 55.2 (30.9) | 54.3 (30.3) |
|---|
West Dunbartonshire | 118 | 32.0 (27.2) | 32.0 (27.2) | 30.0 (25.4) | 32.6 (27.7) | 31.4 (26.6) |
|---|
North Lanarkshire | 418 | 102.8 (24.6) | 101.8 (24.3) | 111.7 (26.7) | 102.8 (24.6) | 100.7 (24.1) |
|---|
Renfrewshire | 214 | 41.8 (19.5) | 41.4 (19.3) | 40.4 (18.9) | 41.9 (19.6) | 40.6 (19.0) |
|---|
North Ayrshire | 179 | 33.5 (18.7) | 32.2 (18.0) | 31.1 (17.3) | 32.6 (18.2) | 31.7 (17.7) |
|---|
East Ayrshire | 154 | 26.8 (17.4) | 25.4 (16.5) | 24.5 (15.9) | 25.6 (16.6) | 25.6 (16.6) |
|---|
South Lanarkshire | 398 | 65.7 (16.5) | 65.6 (16.5) | 66.9 (16.8) | 66.8 (16.8) | 64.7 (16.3) |
|---|
Clackmannanshire | 64 | 10.3 (16.0) | 9.9 (15.4) | 8.6 (13.5) | 9.9 (15.4) | 9.9 (15.4) |
|---|
Edinburgh, City of | 549 | 60.3 (11.0) | 62.1 (11.3) | 59.7 (10.9) | 61.9 (11.3) | 62.3 (11.3) |
|---|
South Ayrshire | 147 | 13.2 (9.0) | 12.9 (8.8) | 9.6 (6.6) | 12.5 (8.5) | 13.4 (9.1) |
|---|
Fife | 453 | 32.1 (7.1) | 31.7 (7.0) | 31.9 (7.0) | 32.1 (7.1) | 31.2 (6.9) |
|---|
Argyll & Bute | 122 | 8.6 (7.0) | 8.2 (6.8) | 7.5 (6.2) | 8.0 (6.6) | 8.6 (7.0) |
|---|
Falkirk | 197 | 14.0 (7.1) | 14.6 (7.4) | 21.2 (10.8) | 14.3 (7.3) | 14.8 (7.5) |
|---|
Aberdeen City | 267 | 17.4 (6.5) | 17.9 (6.7) | 15.5 (5.8) | 17.1 (6.4) | 18.7 (7.0) |
|---|
Stirling | 110 | 6.5 (5.9) | 5.8 (5.3) | 5.9 (5.4) | 5.8 (5.3) | 6.1 (5.6) |
|---|
Dumfries & Galloway | 193 | 9.8 (5.1) | 8.9 (4.6) | 7.2 (3.7) | 8.5 (4.4) | 9.0 (4.7) |
|---|
West Lothian | 211 | 9.7 (4.6) | 8.9 (4.2) | 10.4 (4.9) | 8.9 (4.2) | 8.6 (4.1) |
|---|
East Renfrewshire | 120 | 5.5 (4.6) | 4.9 (4.1) | 5.7 (4.7) | 4.9 (4.1) | 5.3 (4.4) |
|---|
East Dunbartonshire | 127 | 3.4 (2.7) | 3.2 (2.5) | 3.3 (2.6) | 3.3 (2.6) | 3.1 (2.4) |
|---|
Highland | 292 | 9.7 (3.3) | 9.7 (3.3) | 10.1 (3.4) | 9.4 (3.2) | 9.9 (3.4) |
|---|
Angus | 142 | 3.4 (2.4) | 3.3 (2.3) | 3.9 (2.7) | 3.4 (2.4) | 3.5 (2.4) |
|---|
Perth & Kinross | 175 | 3.6 (2.0) | 3.4 (1.9) | 3.2 (1.9) | 3.3 (1.9) | 3.4 (1.9) |
|---|
Scottish Borders | 130 | 2.0 (1.6) | 1.9 (1.5) | 1.3 (1.0) | 1.8 (1.4) | 2.0 (1.6) |
|---|
Midlothian | 112 | 1.1 (1.0) | 1.1 (1.0) | 1.0 (0.9) | 1.1 (1.0) | 1.1 (1.0) |
|---|
Aberdeenshire | 301 | 2.6 (0.9) | 2.8 (0.9) | 2.4 (0.8) | 2.7 (0.9) | 2.9 (1.0) |
|---|
East Lothian | 120 | 0.6 (0.5) | 0.7 (0.6) | 0.9 (0.8) | 0.6 (0.5) | 0.6 (0.5) |
|---|
Eilean Siar | 36 | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) |
|---|
Moray | 116 | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) |
|---|
Orkney Islands | 27 | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) |
|---|
Shetland Islands | 30 | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) | 0.0 (0.0) |
|---|
Table B.3.Number of data zones in each LA, and probability-weighted number (%) of data zones amongst the 15% most deprived data zones nationally, according to the SIMD calculated using the original method and methods using alternative transformations of indicator variables prior to principal components analysis ( PCA)
Local Authority | Total | Original | Simple Standardisation |
|---|
N | N (%) | N (%) |
|---|
Glasgow City | 694 | 369.8 (53.3) | 366.8 (52.9) |
|---|
Inverclyde | 110 | 36.0 (32.7) | 35.2 (32.0) |
|---|
Dundee City | 179 | 52.8 (29.5) | 53.3 (29.8) |
|---|
West Dunbartonshire | 118 | 32.0 (27.2) | 33.1 (28.1) |
|---|
North Lanarkshire | 418 | 102.8 (24.6) | 103.2 (24.7) |
|---|
Renfrewshire | 214 | 41.8 (19.5) | 41.3 (19.3) |
|---|
North Ayrshire | 179 | 33.5 (18.7) | 34.3 (19.2) |
|---|
East Ayrshire | 154 | 26.8 (17.4) | 27.2 (17.7) |
|---|
South Lanarkshire | 398 | 65.7 (16.5) | 67.1 (16.9) |
|---|
Clackmannanshire | 64 | 10.3 (16.0) | 10.1 (15.8) |
|---|
Edinburgh, City of | 549 | 60.3 (11.0) | 58.5 (10.6) |
|---|
South Ayrshire | 147 | 13.2 (9.0) | 12.9 (8.8) |
|---|
Fife | 453 | 32.1 (7.1) | 34.0 (7.5) |
|---|
Argyll & Bute | 122 | 8.6 (7.0) | 8.4 (6.9) |
|---|
Falkirk | 197 | 14.0 (7.1) | 14.3 (7.3) |
|---|
Aberdeen City | 267 | 17.4 (6.5) | 16.1 (6.0) |
|---|
Stirling | 110 | 6.5 (5.9) | 6.7 (6.1) |
|---|
Dumfries & Galloway | 193 | 9.8 (5.1) | 8.7 (4.5) |
|---|
West Lothian | 211 | 9.7 (4.6) | 10.2 (4.8) |
|---|
East Renfrewshire | 120 | 5.5 (4.6) | 5.9 (5.0) |
|---|
East Dunbartonshire | 127 | 3.4 (2.7) | 3.6 (2.8) |
|---|
Highland | 292 | 9.7 (3.3) | 10.5 (3.6) |
|---|
Angus | 142 | 3.4 (2.4) | 3.5 (2.5) |
|---|
Perth & Kinross | 175 | 3.6 (2.0) | 3.8 (2.2) |
|---|
Scottish Borders | 130 | 2.0 (1.6) | 2.1 (1.6) |
|---|
Midlothian | 112 | 1.1 (1.0) | 1.0 (0.9) |
|---|
Aberdeenshire | 301 | 2.6 (0.9) | 2.7 (0.9) |
|---|
East Lothian | 120 | 0.6 (0.5) | 0.5 (0.4) |
|---|
Eilean Siar | 36 | 0.0 (0.0) | 0.0 (0.0) |
|---|
Moray | 116 | 0.0 (0.0) | 0.0 (0.0) |
|---|
Orkney Islands | 27 | 0.0 (0.0) | 0.0 (0.0) |
|---|
Shetland Islands | 30 | 0.0 (0.0) | 0.0 (0.0) |
|---|
Table B.4.Number of data zones in each LA, and probability-weighted number (%) of data zones amongst the 15% most deprived data zones nationally, according to the SIMD calculated using the original method and an alternative using simple standardisation of domain scores (subtracting mean and dividing by standard deviation) prior to combination to form the SIMD score
Local Authority | Total | Original | Transformation of Health, Education & Access domains followed by simple standardisation |
|---|
N | N (%) | N (%) |
|---|
Glasgow City | 694 | 369.8 (53.3) | 372.1 (53.6) |
|---|
Inverclyde | 110 | 36.0 (32.7) | 35.6 (32.4) |
|---|
Dundee City | 179 | 52.8 (29.5) | 53.9 (30.1) |
|---|
West Dunbartonshire | 118 | 32.0 (27.2) | 31.5 (26.7) |
|---|
North Lanarkshire | 418 | 102.8 (24.6) | 101.3 (24.2) |
|---|
Renfrewshire | 214 | 41.8 (19.5) | 41.9 (19.6) |
|---|
North Ayrshire | 179 | 33.5 (18.7) | 33.5 (18.7) |
|---|
East Ayrshire | 154 | 26.8 (17.4) | 26.7 (17.3) |
|---|
South Lanarkshire | 398 | 65.7 (16.5) | 64.9 (16.3) |
|---|
Clackmannanshire | 64 | 10.3 (16.0) | 10.3 (16.0) |
|---|
Edinburgh, City of | 549 | 60.3 (11.0) | 60.8 (11.1) |
|---|
South Ayrshire | 147 | 13.2 (9.0) | 13.3 (9.1) |
|---|
Fife | 453 | 32.1 (7.1) | 31.5 (7.0) |
|---|
Argyll & Bute | 122 | 8.6 (7.0) | 8.7 (7.1) |
|---|
Falkirk | 197 | 14.0 (7.1) | 13.8 (7.0) |
|---|
Aberdeen City | 267 | 17.4 (6.5) | 18.0 (6.7) |
|---|
Stirling | 110 | 6.5 (5.9) | 6.5 (5.9) |
|---|
Dumfries & Galloway | 193 | 9.8 (5.1) | 9.9 (5.1) |
|---|
West Lothian | 211 | 9.7 (4.6) | 9.4 (4.5) |
|---|
East Renfrewshire | 120 | 5.5 (4.6) | 5.4 (4.5) |
|---|
East Dunbartonshire | 127 | 3.4 (2.7) | 3.4 (2.7) |
|---|
Highland | 292 | 9.7 (3.3) | 9.4 (3.2) |
|---|
Angus | 142 | 3.4 (2.4) | 3.4 (2.4) |
|---|
Perth & Kinross | 175 | 3.6 (2.0) | 3.6 (2.0) |
|---|
Scottish Borders | 130 | 2.0 (1.6) | 2.0 (1.5) |
|---|
Midlothian | 112 | 1.1 (1.0) | 1.1 (0.9) |
|---|
Aberdeenshire | 301 | 2.6 (0.9) | 2.6 (0.9) |
|---|
East Lothian | 120 | 0.6 (0.5) | 0.6 (0.5) |
|---|
Eilean Siar | 36 | 0.0 (0.0) | 0.0 (0.0) |
|---|
Moray | 116 | 0.0 (0.0) | 0.0 (0.0) |
|---|
Orkney Islands | 27 | 0.0 (0.0) | 0.0 (0.0) |
|---|
Shetland Islands | 30 | 0.0 (0.0) | 0.0 (0.0) |
|---|
Table B.5. Number of data zones in each LA, and probability-weighted number (%) of data zones amongst the 15% most deprived data zones nationally, according to the SIMD calculated using the original method and an alternative where the health, education and access domains scores were transformed by
and then all domains were standardised by subtracting the mean and dividing by the standard deviation prior to weighted combination
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