# Thread: Power calculation vs Power of the study

1. ## Power calculation vs Power of the study

Hi everybody,

first of all, thanks for accepting me in your forum and sorry for my bad English.

I have a problem. I have sent a research article to be published in a medical journal.
My sample size is of 76 individuals and the control group 157. I have analyzed the results by using the suitable tests (Chi-squared or Fisher when necessary).
I have obtained a very significant p values with very good Odds ratios.

The reviewers have considered this paper as very interesting but one of them ask me the following:
"Since the sample size is small, power calculation can be performed and the power of the study should be presented"

1. Is power calculation and power of the study the same thing?
I have used the PS Power and Sample Size Calculations, Version 2.1.30 software (http://www.mc.vanderbilt.edu/prevmed/ps/index.htm), and I have calculated the power calculation for each analysed parameter. In spite of the small sample size, the power calculation of each one of the comparisons is really acceptable (70-95%)

2. How can I calculate the power of the study?
Have I to do a mean of all the calculated powers of each analysed parameters?.

Please, This subject is urgent, because I have one week to answer the reviewer.

Sincerely yours,

Nice2U

2. 1. Power calculation and power of the study are the same thing.

2. All you need to do is determine the power of each statistical test in your study, based on the sample size and the effect size you want to detect, and then present them in some fashion in your paper. No need to "average" all of the powers.

3. ## Power calculation vs Power of the study

Thank you very much JohnM.

When you say "All you need to do is determine the power of each statistical test in your study, based on the sample size and the effect size you want to detect", I don´t understand you, because each analysed parameter gives me a different OR.
I have used Chi-squared test for almost all the comparisons and Fisher`s exact test when the number of affected cases or controls were equal or lower than 10.

For Instance: cases (n=76), controls (n=157)

genotype 1 cases 43 controls 116
Chi-square test gives an OR of 0.46
The power calculation (alfa 0.05, probability of exposure in controls 0.7389) is 74.88%

genotype 2 cases 56 controls 141
Chi-square test gives an OR of 0.32
The power calculation (alfa 0.05, probability of exposure in controls 0.8981) is 85.82%

and the same with other genotypes, haplotypes, alleles, etc. I have done several comparisons and each one gives a different OR and a different probability of exposure in controls,

Please, help me with this matter because I am inexpert

4. OK - it looks like you already did the power calculations - did you include them in the article?

5. No, I don't know how I must do it.
One thing is the power calculation of one comparison (genotipe 1 for example) and the other is the power of the study considering that I have performed the comparison on 2 alleles, 6 genotypes, 4 haplotypes and 9 diplotypes).
Each one gives a different power calculation because of the different OR and probability of exposure in controls.
Thus, I have 2+6+4+9 = 21 different power calculations. I'm desolated.

6. I think you're making a bigger deal out of this than is necessary - just report the 21 different power calculations......

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