The Scottish Government

Table 20

"95% confidence limits" for estimates which are based on SHS sub-samples of various sizes

e.g. an estimate of 55% which is based on a sample of 800
(I.e. the n corresponding to "100%" is 800) has 95% confidence limits of 55% +/- 3.8%-points
(i.e. 51.2% to 58.8%)

Estimate

Sub- sample size.
(i.e the "n=" value corresp onding to 100%)

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

4.7

6.5

7.7

8.6

9.3

9.9

10.3

10.6

10.7

10.8

200

3.3

4.6

5.4

6.1

6.6

7.0

7.3

7.5

7.6

7.6

300

2.7

3.7

4.4

5.0

5.4

5.7

5.9

6.1

6.2

6.2

400

2.3

3.2

3.8

4.3

4.7

4.9

5.1

5.3

5.4

5.4

500

2.1

2.9

3.4

3.9

4.2

4.4

4.6

4.7

4.8

4.8

600

1.9

2.6

3.1

3.5

3.8

4.0

4.2

4.3

4.4

4.4

700

1.8

2.4

2.9

3.3

3.5

3.7

3.9

4.0

4.1

4.1

800

1.7

2.3

2.7

3.0

3.3

3.5

3.6

3.7

3.8

3.8

900

1.6

2.2

2.6

2.9

3.1

3.3

3.4

3.5

3.6

3.6

1,000

1.5

2.0

2.4

2.7

3.0

3.1

3.3

3.3

3.4

3.4

1,200

1.4

1.9

2.2

2.5

2.7

2.9

3.0

3.0

3.1

3.1

1,400

1.3

1.7

2.1

2.3

2.5

2.6

2.7

2.8

2.9

2.9

1,600

1.2

1.6

1.9

2.2

2.3

2.5

2.6

2.6

2.7

2.7

1,800

1.1

1.5

1.8

2.0

2.2

2.3

2.4

2.5

2.5

2.5

2,000

1.1

1.4

1.7

1.9

2.1

2.2

2.3

2.4

2.4

2.4

2,500

0.9

1.3

1.5

1.7

1.9

2.0

2.1

2.1

2.1

2.2

3,000

0.9

1.2

1.4

1.6

1.7

1.8

1.9

1.9

2.0

2.0

3,500

0.8

1.1

1.3

1.5

1.6

1.7

1.7

1.8

1.8

1.8

4,000

0.7

1.0

1.2

1.4

1.5

1.6

1.6

1.7

1.7

1.7

5,000

0.7

0.9

1.1

1.2

1.3

1.4

1.5

1.5

1.5

1.5

6,000

0.6

0.8

1.0

1.1

1.2

1.3

1.3

1.4

1.4

1.4

7,000

0.6

0.8

0.9

1.0

1.1

1.2

1.2

1.3

1.3

1.3

8,000

0.5

0.7

0.9

1.0

1.0

1.1

1.1

1.2

1.2

1.2

9,000

0.5

0.7

0.8

0.9

1.0

1.0

1.1

1.1

1.1

1.1

10,000

0.5

0.6

0.8

0.9

0.9

1.0

1.0

1.1

1.1

1.1

12,000

0.4

0.6

0.7

0.8

0.9

0.9

0.9

1.0

1.0

1.0

14,000

0.4

0.5

0.7

0.7

0.8

0.8

0.9

0.9

0.9

0.9

16,000

0.4

0.5

0.6

0.7

0.7

0.8

0.8

0.8

0.8

0.9

18,000

0.4

0.5

0.6

0.6

0.7

0.7

0.8

0.8

0.8

0.8

20,000

0.3

0.5

0.5

0.6

0.7

0.7

0.7

0.7

0.8

0.8

25,000

0.3

0.4

0.5

0.5

0.6

0.6

0.7

0.7

0.7

0.7

30,000

0.3

0.4

0.4

0.5

0.5

0.6

0.6

0.6

0.6

0.6

35,000

0.3

0.3

0.4

0.5

0.5

0.5

0.5

0.6

0.6

0.6

40,000

0.2

0.3

0.4

0.4

0.5

0.5

0.5

0.5

0.5

0.5

45,000

0.2

0.3

0.4

0.4

0.4

0.5

0.5

0.5

0.5

0.5

50,000

0.2

0.3

0.3

0.4

0.4

0.4

0.5

0.5

0.5

0.5