Table A: [Confidence limits] 95% confidence limits for estimates, based on SHS sub-samples sizes
26 September 2017 - Transport and Travel in Scotland 2016
Table A: [Confidence limits] 95% confidence limits for estimates, based on SHS sub-samples sizes
| Sub-sample size (=100%) | Estimate | |||||||||
| 5% or 95% |
10% or 90% |
15% or 85% |
20% or 80% |
25% or 75% |
30% or 70% |
35% or 65% |
40% or 60% |
45% or 55% |
50% | |
| percentage points ( + / - ) | ||||||||||
| 100 | 5.0 | 6.8 | 8.1 | 9.1 | 9.8 | 10.4 | 10.8 | 11.1 | 11.3 | 11.4 |
| 200 | 3.5 | 4.8 | 5.7 | 6.4 | 7.0 | 7.4 | 7.7 | 7.9 | 8.0 | 8.0 |
| 300 | 2.9 | 3.9 | 4.7 | 5.3 | 5.7 | 6.0 | 6.3 | 6.4 | 6.5 | 6.6 |
| 400 | 2.5 | 3.4 | 4.1 | 4.5 | 4.9 | 5.2 | 5.4 | 5.6 | 5.7 | 5.7 |
| 500 | 2.2 | 3.1 | 3.6 | 4.1 | 4.4 | 4.7 | 4.8 | 5.0 | 5.1 | 5.1 |
| 600 | 2.0 | 2.8 | 3.3 | 3.7 | 4.0 | 4.3 | 4.4 | 4.5 | 4.6 | 4.6 |
| 700 | 1.9 | 2.6 | 3.1 | 3.4 | 3.7 | 3.9 | 4.1 | 4.2 | 4.3 | 4.3 |
| 800 | 1.8 | 2.4 | 2.9 | 3.2 | 3.5 | 3.7 | 3.8 | 3.9 | 4.0 | 4.0 |
| 900 | 1.7 | 2.3 | 2.7 | 3.0 | 3.3 | 3.5 | 3.6 | 3.7 | 3.8 | 3.8 |
| 1,000 | 1.6 | 2.2 | 2.6 | 2.9 | 3.1 | 3.3 | 3.4 | 3.5 | 3.6 | 3.6 |
| 1,200 | 1.4 | 2.0 | 2.3 | 2.6 | 2.8 | 3.0 | 3.1 | 3.2 | 3.3 | 3.3 |
| 1,400 | 1.3 | 1.8 | 2.2 | 2.4 | 2.6 | 2.8 | 2.9 | 3.0 | 3.0 | 3.0 |
| 1,600 | 1.2 | 1.7 | 2.0 | 2.3 | 2.5 | 2.6 | 2.7 | 2.8 | 2.8 | 2.8 |
| 1,800 | 1.2 | 1.6 | 1.9 | 2.1 | 2.3 | 2.5 | 2.6 | 2.6 | 2.7 | 2.7 |
| 2,000 | 1.1 | 1.5 | 1.8 | 2.0 | 2.2 | 2.3 | 2.4 | 2.5 | 2.5 | 2.5 |
| 2,500 | 1.0 | 1.4 | 1.6 | 1.8 | 2.0 | 2.1 | 2.2 | 2.2 | 2.3 | 2.3 |
| 3,000 | 0.9 | 1.2 | 1.5 | 1.7 | 1.8 | 1.9 | 2.0 | 2.0 | 2.1 | 2.1 |
| 3,500 | 0.8 | 1.2 | 1.4 | 1.5 | 1.7 | 1.8 | 1.8 | 1.9 | 1.9 | 1.9 |
| 4,000 | 0.8 | 1.1 | 1.3 | 1.4 | 1.6 | 1.6 | 1.7 | 1.8 | 1.8 | 1.8 |
| 5,000 | 0.7 | 1.0 | 1.1 | 1.3 | 1.4 | 1.5 | 1.5 | 1.6 | 1.6 | 1.6 |
| 6,000 | 0.6 | 0.9 | 1.0 | 1.2 | 1.3 | 1.3 | 1.4 | 1.4 | 1.5 | 1.5 |
| 7,000 | 0.6 | 0.8 | 1.0 | 1.1 | 1.2 | 1.2 | 1.3 | 1.3 | 1.4 | 1.4 |
| 8,000 | 0.6 | 0.8 | 0.9 | 1.0 | 1.1 | 1.2 | 1.2 | 1.2 | 1.3 | 1.3 |
| 9,000 | 0.5 | 0.7 | 0.9 | 1.0 | 1.0 | 1.1 | 1.1 | 1.2 | 1.2 | 1.2 |
| 10,000 | 0.5 | 0.7 | 0.8 | 0.9 | 1.0 | 1.0 | 1.1 | 1.1 | 1.1 | 1.1 |
| 12,000 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 |
| 14,000 | 0.4 | 0.6 | 0.7 | 0.8 | 0.8 | 0.9 | 0.9 | 0.9 | 1.0 | 1.0 |
| 16,000 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.8 | 0.9 | 0.9 | 0.9 | 0.9 |
| 18,000 | 0.4 | 0.5 | 0.6 | 0.7 | 0.7 | 0.8 | 0.8 | 0.8 | 0.8 | 0.8 |
| 20,000 | 0.4 | 0.5 | 0.6 | 0.6 | 0.7 | 0.7 | 0.8 | 0.8 | 0.8 | 0.8 |
| 25,000 | 0.3 | 0.4 | 0.5 | 0.6 | 0.6 | 0.7 | 0.7 | 0.7 | 0.7 | 0.7 |
| 30,000 | 0.3 | 0.4 | 0.5 | 0.5 | 0.6 | 0.6 | 0.6 | 0.6 | 0.7 | 0.7 |
| 35,000 | 0.3 | 0.4 | 0.4 | 0.5 | 0.5 | 0.6 | 0.6 | 0.6 | 0.6 | 0.6 |
| 40,000 | 0.2 | 0.3 | 0.4 | 0.5 | 0.5 | 0.5 | 0.5 | 0.6 | 0.6 | 0.6 |
| 45,000 | 0.2 | 0.3 | 0.4 | 0.4 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 |
| 50,000 | 0.2 | 0.3 | 0.4 | 0.4 | 0.4 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 |
e.g. an estimate of 55% that is based on a sample of 800 has 95% confidence limits of 55% ± 4.1% points
2013 Design factor = 1.16
Formula used is CI = 1.16 x 1.96 x SQRT((% x (1-%)) / n )