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How to apply ANOVA test to K-Means clustering

I'm generally looking for how to apply ANOVA test to neural networks.I'm particularly interested in ANOVA tests for clustering function estimation below is the code taken from K-means clustering ...
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How to predict some constant number of values with NeuralNetworks

Example: << NeuralNetworks` data = {Sin[#]} & /@ Range[0, 4 Pi, 0.5]; learn = data[[1 ;; 15]]; Now, lets fit our neural network: ...