Search results for "Distance correlation"
showing 2 items of 2 documents
Integrating Computational Linguistic Analysis of Multilingual Learning Data and Educational Measurement Approaches to Explore Learning in Higher Educ…
2017
This chapter develops a computational linguistic model for analyzing and comparing multilingual data as well as its application to a large body of standardized assessment data from higher education. The approach employs both an automatic and a manual annotation of the data on several linguistic layers (including parts of speech, text structure and content). Quantitative features of the textual data are explored that are related to both the students’ (domain-specific knowledge) test results and their level of academic experience. The respective analysis involves statistics of distance correlation, text categorization with respect to text types (questions and response options) as well as lang…
Kullback-Leibler distance as a measure of the information filtered from multivariate data
2007
We show that the Kullback-Leibler distance is a good measure of the statistical uncertainty of correlation matrices estimated by using a finite set of data. For correlation matrices of multivariate Gaussian variables we analytically determine the expected values of the Kullback-Leibler distance of a sample correlation matrix from a reference model and we show that the expected values are known also when the specific model is unknown. We propose to make use of the Kullback-Leibler distance to estimate the information extracted from a correlation matrix by correlation filtering procedures. We also show how to use this distance to measure the stability of filtering procedures with respect to s…