Reviewer’s report
Title: 
Anastrozole and Levonorgrestrel-Releasing Intrauterine Device in the
Treatment of Endometriosis: A Randomized Clinical Trial.
Version: 
2 
Date: 
18 Nov 2020
Reviewer's report:
Dear Authors, thank you very much for the revision of the work.
I will appoint the main issue of the work: the sample size.
I start from this sentence 
by the author: "Our purpose wasto analyze and try to
find a medical treatment that cure or significantly improve endometriosis without
the need for surgery!", this is the aim of the study, but can't be reported in a
generic way, when referring to detailed statistical plan I would assume that
authors report the mathematical process and the primary outcomes that is used to
calculate the sample size. Similarly, I am sking myself: will I be able to
reproduce the study without this? The answer is no. A practical example is to
establish a measurable outcome and to use the literature data to fetch the
prevalence of the event under exploration to decide the cut-off. For example let's
fix a decrease of 40% of the symptoms (measuread for example in a scale from 1
to 5, in an objective way) for method B versus method A. The probability was
95% that the study will detect a difference at a 2-sided 0.05 significance level if
the true difference between the two groups was at least 2 points, given a SD of
3.5 points with at least 160 patients enrolled in a 2-group parallel design study.
This is a reported statistical sample size calculation and this is for a two group
study (I used with hypothetical values), what about 4 groups... I can't even
imagine the type I and II error issues and how to deal with them. That's why I
suppose that the statistical analysis is not typical for a CRT.
Please refer to: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2680945/ 
Kind regards
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