Dataset for analyzing the statistics of ensembles of matrices in the Linguistic Matrix Theory programme introduced in arxiv:1703.10252. A Python script (ratios.py) for testing the fit of the matrix data to the 13-parameter permutation invariant Gaussian matrix models introduced in arXiv:1809.07559 is given. Two Sage+Jupyter notebooks are provided that assist in the computation of theoretical higher-order moments based on permutation invariant matrix model along with a set of Python functions (MFunctions.py) that are useful for further Gaussianity tests as well as computational language tasks. The dataset was constructed by D. Kartsaklis for arXiv:1703.10252, ratios.py was developed for arXiv:1912.10839 and the Sage+Jupyter code was developed in arXiv:2104.03707. MFunctions.py was developed in arXiv:2202.06829.