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Re: Trend analysis with different number of 'PSU' and 'Strata' [message #24602 is a reply to message #24590] Mon, 06 June 2022 16:16
 Janet-DHS Messages: 816Registered: April 2022 Senior Member
Following is a response from DHS Research & Data Analysis Director, Tom Pullum:

You are correct. Two means (or proportions) can be significantly different even if the confidence intervals overlap. The reason for this is that the standard error of a difference is less than the sum of the two standard errors (the widths of the confidence intervals are proportional to the standard errors). In most situations, the standard error of a difference is equal to the square root of the sum of the squares of the two standard errors. It's like a right triangle, in which the hypotenuse is always shorter than the sum of the other two sides. Check a statistics text on tests and confidence intervals for a difference.

 Trend analysis with different number of 'PSU' and 'Strata' By: Mason92 on Mon, 07 March 2022 06:59 Re: Trend analysis with different number of 'PSU' and 'Strata' By: Bridgette-DHS on Mon, 07 March 2022 10:45 Re: Trend analysis with different number of 'PSU' and 'Strata' By: Mason92 on Mon, 07 March 2022 15:38 Re: Trend analysis with different number of 'PSU' and 'Strata' By: Bridgette-DHS on Tue, 08 March 2022 10:41 Re: Trend analysis with different number of 'PSU' and 'Strata' By: Mason92 on Wed, 09 March 2022 08:36 Re: Trend analysis with different number of 'PSU' and 'Strata' By: David34 on Sat, 04 June 2022 07:01 Re: Trend analysis with different number of 'PSU' and 'Strata' By: Janet-DHS on Mon, 06 June 2022 16:16 Re: Trend analysis with different number of 'PSU' and 'Strata' By: David34 on Tue, 07 June 2022 12:24 Re: Trend analysis with different number of 'PSU' and 'Strata' By: jayevid on Thu, 14 July 2022 04:18
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