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In probability theory and statistics, the chi-squared distribution (also chi-square or -distribution) with degrees of freedom is the distribution of a sum of the squares of independent standard normal random variables.
May 20, 2022 · Chi-square (Χ 2) distributions are a family of continuous probability distributions. They’re widely used in hypothesis tests, including the chi-square goodness of fit test and the chi-square test of independence. The shape of a chi-square distribution is determined by the parameter k, which represents the degrees of freedom.
- As the degrees of freedom ( k ) increases, the chi-square distribution goes from a downward curve to a hump shape. As the degrees of freedom incr...
- A chi-square distribution is a continuous probability distribution . The shape of a chi-square distribution depends on its degrees of freedom ,...
- The two main chi-square tests are the chi-square goodness of fit test and the chi-square test of independence .
The Chi-square distribution explained, with examples, simple derivations of the mean and the variance, solved exercises and detailed proofs of important results. Stat Lect Index > Probability distributions
Apr 2, 2023 · The chi-square distribution is a useful tool for assessment in a series of problem categories. These problem categories include primarily (i) whether a data set fits a particular distribution, (ii) whether the distributions of two populations are the same, (iii) whether two events might be independent, and (iv) whether there is a different ...
Jan 8, 2024 · A chi-square ( χ2) statistic is a measure of the difference between the observed and expected frequencies of the outcomes of a set of events or variables. Chi-square is useful for analyzing such...
Chi-Square Distribution. The distribution of the chi-square statistic is called the chi-square distribution. In this lesson, we learn to compute the chi-square statistic and find the probability associated with the statistic. And we'll work through some chi-square examples to illustrate key points.
In this video, we'll just talk a little bit about what the chi-square distribution is, sometimes called the chi-squared distribution. And then in the next few videos, we'll actually use it to really test how well theoretical distributions explain observed ones, or how good a fit observed results are for theoretical distributions.
- 10 min
- Sal Khan
