I am surveying the use of statistical significance testing (SST) to validate the results of cluster analysis. I have found several papers around this topic, such as
- "Statistical Signiﬁcance of Clustering for High-Dimension, Low–Sample Size Data" by Liu, Yufeng et al. (2008)
- "On some significance tests in cluster analysis", by Bock (1985)
But I am interested in finding some literature arguing that SST is NOT appropriate to validate results of cluster analysis. The only source I have found claiming this is a web page of a software vendor
I am interested in testing whether a significant cluster structure has been found as a result of cluster analysis, so, I'd like to know of papers supporting or refuting the concern "about the possibility of post-hoc testing of the results of exploratory data analysis used to find clusters".
I've just found a paper from 2003, "Clustering and classification methods" by Milligan and Hirtle saying, for example, that using ANOVA would be an invalid analysis since data have not have random assignments to the groups.