Publication - Statistics

Scottish Health and Care Experience Survey 2013/14 - Technical Report

Published: 17 Mar 2015
Part of:
Health and social care
ISBN:
9781785442070

Scottish Health and Care Experience Survey 2013/14. This is a postal survey which was sent to a random sample of patients who were registered with a GP in Scotland in October 2013. This report contains details of the survey design and development.

Scottish Health and Care Experience Survey 2013/14 - Technical Report
Annex E Significance Testing

Annex E Significance Testing

a. Comparison of results at National, NHS Board and CHP over the two survey periods (2011/12 and 2013/14)

For each question (where comparison is possible), the test statistic can be calculated as follows:

Formula

For a result in 2013/14 to be not statistically significantly different from 2011/12, then

Formula

To illustrate this, let the:

  • percentage positive score in 20011/12 and 2013/14 for Scotland, an NHS Board or CHP be denoted by p1 and p2 respectively.
  • number of valid responses in 2011/12 and 2013/14 be denoted by n1 and n2 respectively.
  • design effect in years 2011/12 and 2013/14 be denoted as deff1 and deff2 respectively.

Then the standard error can be calculated as:

Formula

b. Comparison of results for NHS Board and CHP with Scotland

For each question (where comparison is applicable), the test statistic can be calculated as follows:

Formula

For the NHS Board or CHP to be not statistically significantly different from Scotland results, then

Formula

To illustrate this, let the:

  • percentage positive score for NHS Board or CHP be denoted by pgeog.
  • percentage positive score for Scotland be denoted by pScotland.
  • number of valid responses for NHS Board or CHP (geography) be denoted by ngeog.
  • number of valid responses for Scotland be denoted by nScotland.
  • design effect for NHS Board or CHP and Scotland be denoted by deffgeog and deffScotland respectively.

Then the standard error can be calculated as

Formula

Contact

Email: Andrew Paterson