Thanks Sean, really appreciated!!
you can consider Fréchet distance
The problem is not trivial at all (it has to do with patent recognition). If your y values are at the same x for each curve, you can still try some non-parametric statistical tests. The problem is when the curves come at non coherent x sets. Of course the easiest way is to replace the curves with some characteristics (like area underneath suggested before, moments of distribution, etc.) and then run multivariate ANOVA on them. If you really want to asses the similarity between the curves, you may want to check theses papers:http://citeseerx.ist.psu.edu/viewdoc/download;jsessionid=1E626E76AA499B64ED0D34C40C524B62?doi=10.1.1.118.5078&rep=rep1&type=pdfhttp://onlinelibrary.wiley.com/doi/10.2307/3316142/pdf
Maria Margarida Silva R S Ferreira
Escola Superior de Enfermagem do Porto
Anju Priya Toolaram
Leuphana University Lüneburg
Norwegian School of Veterinary Science
Mudhir Sabir Shekha
Salahaddin University - Erbil
Ilia State University
University of Alberta
University of Michigan
Virginia Polytechnic Institute and State University
Pelagic Research Group LLC
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