The best open source alternative to RapidMiner is R (programming language), which is both free and Open Source. If that doesn't suit you, our users have ranked more than 25 alternatives to RapidMiner and eight of them is open source so hopefully you can find a suitable replacement. Other interesting open source alternatives to RapidMiner are Orange (Free, Open Source), KNIME (Free, Open Source), WEKA (Free, Open Source) and Analance (Paid, Open Source).
Orange is an open-source, cross-platform data mining and machine learning suite. It features visual programming as intuitive means of combining data analysis and interactive visualization methods into powerful workflows.
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Most users think Orange is a great alternative to RapidMiner.
MonteCarlito is a free Excel-add-in to do Monte-Carlo-simulations. Apart from these it can also do statistical analysis like mean, median, standard error, variance, skewness, kurtosis. It can create histograms. The code is open source.
ELKI: "Environment for Developing KDD-Applications Supported by Index-Structures" is a development framework for data mining algorithms written in Java. It includes a large variety of popular data mining algorithms, distance functions and index structures.