Quoting advice from others in a paper Sorry, I believe that the title of this post is a little misleading, but can't understand what the best keywords are.

For my thesis, I have asked some help for a statistical analysis to a faculty member, getting more or less a 3-hours tutorial on the analysis. After my thesis, I have written an article on a broader topic that includes some preliminary data taken from that experiment. My article has been accepted, and I would like to mention the involvement of the faculty member that has advised me on the analysis. What are the possible methods? 

I would like to ask you for different ways to do this, so to discuss this with the faculty member mentioned. As written in this article (http://www.labtimes.org/labtimes/issues/lt2013/lt02/lt_2013_02_40_40.pdf), the role of this advisor has been significant - otherwise I wouldn't have been able to complete my thesis -, but really too little in relation to the theme and scope of the article.

In any case, this is showing preliminary data (very basic), and I have written it completely by myself, with half the article covering a different topic. I am actively working with this advisor right now on a proper analysis to be published in a journal with this advisor as a coauthor.
If the paper has been already accepted, I am not sure that you are even allowed to add co-authors at this stage. So, the only option that you have is to mention his/her contribution in the acknowledgment (e.g., "I am grateful to XYZ for his/her help on data analysis"). Anyway, if I understood you correctly, the help was limited to 3 hours consultation. For such contribution a person usually will not expect to be part of the paper (unless you promised this explicitly).