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In: Math

in the statistical analysis section, the authors write: “Post hoc power calculations of our sample size...

  1. in the statistical analysis section, the authors write: “Post hoc power calculations of our sample size with 107 per group was 95% (5% significance) to detect an increase readmission rate as found in the study;…..”.

Comment. [2 marks]

It's an open question and I have no idea what to answer, so u have any idea please feel free to answer!

Solutions

Expert Solution

The power of a statistical test analysis is defined as,

where is the probability of type II error. A Type II error is the probability of failing to reject the null hypothesis when the null hypothesis is actually FALSE such that there is a 5% chance that we did not reject a false null hypothesis.

Hence the probability of rejecting the null hypothesis when the null hypothesis is False is called power of the test which is 95% such that there is a 95% chance that we reject a false null hypothesis correctly.

In the statistical test analysis, the null hypothesis is defined as there is no increase in the readmission rate and the alternative hypothesis test the claim that the readmission rate increased significantly

Now, in this Post hoc power calculations study, we found that the power of the statistical analysis is 95% which means there is a 95% chance that the readmission rate increased significantly and we reject the null hypothesis.


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