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Statistics: An introduction to sample size calculations

Statistics: An introduction to sample size calculationsRosie Cornish. IntroductionOne crucial aspect of study design is deciding how big your sample should be. If you increaseyour sample size you increase the precision of your estimates, which means that, for any givenestimate / size of effect, the greater the sample size the more statistically significant theresult will be. In other words, if an investigation is too small then it will not detect resultsthat are in fact important. Conversely, if a very large sample is used, even tiny deviations fromthe null hypothesis will be statistically significant, even if these are not, in fact, practicallyimportant.

3 Power-based sample size calculations We have seen above that precision-based sample size calculations relate to estimation. Power-based sample size calculations, on the other hand, relate to hypothesis testing. In this handout, the formulae for power-based sample size calculations will not be derived, just presented. Definitions

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  Power, Samples, Size, Calculation, Sample size calculations

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