Category Theory and Statistics
Description: This quiz covers the intersection of Category Theory and Statistics, exploring the application of categorical concepts and structures in statistical theory and practice. | |
Number of Questions: 15 | |
Created by: Aliensbrain Bot | |
Tags: category theory statistics categorical data analysis bayesian statistics |
In category theory, a functor is a mapping between categories that preserves the structure of the categories. What is the statistical analog of a functor?
In statistics, a Bayesian network is a graphical model that represents the conditional dependencies among a set of random variables. What is the categorical analog of a Bayesian network?
In category theory, a natural transformation is a morphism between functors that preserves the structure of the functors. What is the statistical analog of a natural transformation?
In statistics, a sufficient statistic is a statistic that contains all the information about a parameter of interest in a sample. What is the categorical analog of a sufficient statistic?
In category theory, a limit is a way of combining a collection of objects and morphisms into a single object. What is the statistical analog of a limit?
In statistics, a statistical test is a procedure for making a decision about a parameter of interest based on a sample. What is the categorical analog of a statistical test?
In category theory, a colimit is a way of combining a collection of objects and morphisms into a single object. What is the statistical analog of a colimit?
In statistics, a Markov chain is a sequence of random variables in which the value of each random variable depends only on the value of the previous random variable. What is the categorical analog of a Markov chain?
In category theory, a monoid is a category with a single object and a single morphism from that object to itself. What is the statistical analog of a monoid?
In statistics, a chi-squared test is a statistical test that is used to test the independence of two categorical variables. What is the categorical analog of a chi-squared test?
In category theory, a group is a category with a single object and a single morphism from that object to itself that is invertible. What is the statistical analog of a group?
In statistics, a t-test is a statistical test that is used to test the mean of a normally distributed population. What is the categorical analog of a t-test?
In category theory, a ring is a category with two objects and two morphisms between those objects that satisfy certain axioms. What is the statistical analog of a ring?
In statistics, an analysis of variance (ANOVA) is a statistical method that is used to compare the means of two or more groups. What is the categorical analog of an ANOVA?
In category theory, a topos is a category that satisfies certain axioms. What is the statistical analog of a topos?