Economic conditions of crofting: survey 2019 to 2022
This report provides a detailed outline of the uses and financial situation of crofts in the years between 2019 and 2022.
Annex 2: Interpreting results
The results of the research are based upon a sample survey, therefore all figures quoted are estimates rather than precise percentages. We have included analysis by all Local Authorities, but the numbers are very small for some so not statistically significant. This is the case for Orkney and Argyll and Bute, but these are included for completeness. The reader should interpret the local authority data with statistical significance in mind.
All tables have a descriptive and numerical base, showing the population examined in it.
All proportions produced in a survey have a degree of error associated with them because they are generated from a sample of the population rather than the population as a whole. Any proportion measured in the survey has an associated confidence interval (within which the 'true' proportion of the whole population is likely to lie), usually expressed as ±x%. It is possible with any survey that the sample achieved produces estimates that are outside this range. The number of times out of 100 surveys when the result achieved would lie within the confidence interval is also quoted; conventionally the level set is 95 out of 100, or 95%. Technically, all results should be quoted in this way. However, it is less cumbersome to simply report the percentage as a single percentage, the convention adopted in this report.
| 50 | 75 | 100 | 150 | 200 | 250 | 300 | 400 | 500 | 942 | ||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Sample Estimate (lookup to nearest multiple of 5%) | 5% | 6.0 | 4.9 | 4.3 | 3.5 | 3.0 | 2.7 | 2.4 | 2.1 | 1.9 | 1.3 |
| 10% | 8.3 | 6.8 | 5.9 | 4.8 | 4.1 | 3.7 | 3.4 | 2.9 | 2.6 | 1.8 | |
| 15% | 9.9 | 8.1 | 7.0 | 5.7 | 4.9 | 4.4 | 4.0 | 3.4 | 3.1 | 2.2 | |
| 20% | 11.1 | 9.0 | 7.8 | 6.4 | 5.5 | 4.9 | 4.5 | 3.9 | 3.4 | 2.5 | |
| 25% | 12.0 | 9.8 | 8.5 | 6.9 | 6.0 | 5.3 | 4.8 | 4.2 | 3.7 | 2.7 | |
| 30% | 12.7 | 10.3 | 9.0 | 7.3 | 6.3 | 5.6 | 5.1 | 4.4 | 3.9 | 2.8 | |
| 35% | 13.2 | 10.8 | 9.3 | 7.6 | 6.6 | 5.9 | 5.3 | 4.6 | 4.1 | 2.9 | |
| 40% | 13.6 | 11.1 | 9.6 | 7.8 | 6.7 | 6.0 | 5.5 | 4.7 | 4.2 | 3.0 | |
| 45% | 13.8 | 11.2 | 9.7 | 7.9 | 6.8 | 6.1 | 5.6 | 4.8 | 4.3 | 3.1 | |
| 50% | 13.8 | 11.3 | 9.8 | 8.0 | 6.9 | 6.1 | 5.6 | 4.8 | 4.3 | 3.1 | |
| 55% | 13.8 | 11.2 | 9.7 | 7.9 | 6.8 | 6.1 | 5.6 | 4.8 | 4.3 | 3.1 | |
| 60% | 13.6 | 11.1 | 9.6 | 7.8 | 6.7 | 6.0 | 5.5 | 4.7 | 4.2 | 3.0 | |
| 65% | 13.2 | 10.8 | 9.3 | 7.6 | 6.6 | 5.9 | 5.3 | 4.6 | 4.1 | 2.9 | |
| 70% | 12.7 | 10.3 | 8.9 | 7.3 | 6.3 | 5.6 | 5.1 | 4.4 | 3.9 | 2.8 | |
| 75% | 12.0 | 9.8 | 8.5 | 6.9 | 6.0 | 5.3 | 4.8 | 4.2 | 3.7 | 2.7 | |
| 80% | 11.1 | 9.0 | 7.8 | 6.4 | 5.5 | 4.9 | 4.5 | 3.9 | 3.4 | 2.5 | |
| 85% | 9.9 | 8.1 | 7.0 | 5.7 | 4.9 | 4.4 | 4.0 | 3.4 | 3.1 | 2.2 | |
| 90% | 8.3 | 6.8 | 5.9 | 4.8 | 4.1 | 3.7 | 3.4 | 2.9 | 2.6 | 1.8 | |
| 95% | 6.0 | 4.9 | 4.3 | 3.5 | 3.0 | 2.7 | 2.4 | 2.1 | 1.9 | 1.3 |
Above is a worked example that explains how to interpret results presented in the analysis of the survey. The percentage of respondents who said their rent was reviewed was 76%, with a base of 442.
Using the statistical significance table above to find the 95% confidence intervals for each value, we can see that a base of 500 the lower limit of the 95% confidence interval is (75%-4.2%) 70.8% and the upper limit is (75%+4.2%) 79.2%.
How to access background or source data
The data collected for this
☐ are available in more detail through Scottish Neighbourhood Statistics
☐ are available via an alternative route
☐ may be made available on request, subject to consideration of legal and ethical factors. Please contact
☐ cannot be made available by Scottish Government for further analysis as Scottish Government is not the data controller.
Contact
Email: socialresearch@gov.scot
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