Affiliation:
1. Department of Mathematical and Statistical Methods , Poznań University of Life Sciences , Wojska Polskiego 28, Poznań , Poland
Abstract
Summary
Data arranged in a two-way contingency table can be obtained as a result of many experiments in the life sciences. In some cases the categorized trait is in fact conditioned by an unobservable continuous variable, called liability. It may be interesting to know the relationship between the Pearson correlation coefficient of these two continuous variables and the entropy function measuring the corresponding relation for categorized data. After many simulation trials, a linear regression was estimated between the Pearson correlation coefficient and the normalized mutual information (both on a logarithmic scale). It was observed that the regression coefficients obtained do not depend either on the number of observations classified on a categorical scale or on the continuous random distribution used for the latent variable, but they are influenced by the number of columns in the contingency table. In this paper a known measure of dependency for such data, based on the entropy concept, is applied.
Reference19 articles.
1. Bilow M., Crespo F., Pan Z., Eskin E., Eyheramendy S. (2017): Simultaneous modeling of disease status and clinical phenotypes to increase power in GWAS. Genetics 205: 1041-1047.10.1534/genetics.116.198473
2. Bakinowska E., Kala R. (2007): An application of logistic models for comparison of varieties of seed pea with respect to lodging. Biometrical Letters 44(2): 143-154.
3. Dobek A., Steppa R., Moliński K., Ślósarz P. (2013): Use of entropy in the analysis of nominal traits in sheep. Journal of Applied Genetics 54: 97-102.10.1007/s13353-012-0123-z
4. Dobek A., Szydłowski M., Szwaczkowski T., Skotarczak E., Moliński K. (2003): Bayesian estimates of genetic variance of fertility and hatchability under a threshold animal model. Journal of Animal and Feed Sciences 12: 307-314.10.22358/jafs/67709/2003
5. Falconer D.S. (1989): Introduction to Quantitative Genetics. Ed.3. Longmans Green/John Wiley & Sons, Harlow, Essex, UK/New York.
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献