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joint strategic needs assessment foundation profile - JSNA

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Interative Hull Atlas: www.hullpublichealth.org/Pages/hull_atlas.htm More information: www.jsnaonline.org and www.hullpublichealth.org<br />

important and the fact that both areas report high levels of poor health may be more<br />

important. One such test is the 2 test which compares the percentages between different<br />

groups (with the original assumption that the percentages are the same for all groups).<br />

The<br />

2 test for trend compares the percentages across different groups with ordered<br />

categories, such as deprivation, and assesses whether there is an increasing or<br />

decreasing trend in the percentages across the ordered categories. McNemar‟s test can<br />

be used to compare paired percentages. Paired data occurs when responses from the<br />

same individual are compared, paired analyses generally occur when the aim is<br />

compare changes over time (see evaluation of Community Physical Activity Survey in<br />

section 8.6.9 on page 319).<br />

Another test is the t-test which compares the mean or average of a parameter between two<br />

groups. A paired test is used<br />

12.5 Confidence Intervals<br />

A confidence interval (CI), calculated using statistical methods, gives a range of likely<br />

values for the parameter of interest. Since one cannot generally survey all people for all<br />

years within all geographical areas of interest, it is common practice to obtain necessary<br />

data from a sample of the population. However, different samples will result in different<br />

estimates for the measure of interest due to natural variation of measurement data<br />

(assuming all other influences remain constant). Therefore, it is useful to have a range<br />

of values for the measure of interest (e.g. percentage or mean, difference between two<br />

means or measure of risk, etc) rather than a single value to get an idea of the range of<br />

likely values. The usual CI calculated is the 95% CI, in which we are 95% confident that<br />

the interval obtained (from the sample) will contain the true underlying measure of<br />

interest. Having a range of values for which the population statistic/measure lies is<br />

much more useful than having a single value. The interval also takes into consideration<br />

the number of people on which the estimate is based, so that if there are many people<br />

surveyed the interval tends to be narrower (and therefore more useful). The 95% CI for<br />

a difference in a percentage or mean between two groups that does not include the<br />

value zero (i.e. the percentage or mean is not the same for both groups) will have a pvalue<br />

less than 0.05 72 (see section 12.4 on page 774). If the CI is wide then this<br />

suggests uncertainty regarding the underlying statistic.<br />

For example, if the standardised mortality ratio is 140 then it implies there is an increase<br />

of 40% in the mortality rate locally compared to that in the standard population (which<br />

may be national population). This raises immediate concern. However, if the 95% CI<br />

ranges from 50 to 230 then it implies that the true underlying ratio lies between 50 and<br />

230, i.e. half the mortality locally compared to nationally through to more than twice the<br />

mortality rate locally compared to that observed nationally. Since this is a wide range,<br />

we are less confident in saying that there is an increased mortality rate locally as it could<br />

very easily have occurred by natural variation of measurements rather than representing<br />

72 In rare cases this is not the case depending on the way in which the statistical test is undertaken and<br />

the assumptions made, however, if it is not true then the p-value will be close to 0.05.<br />

Joint Strategic Needs Assessment Foundation Profile – Hull Health Profile: Release 3. March 2011. 775

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