Chi-Square (Χ²) Distributions | variance chi square distribution
Achi-square(Χ2)distributionisacontinuousprobabilitydistribution[1]thatisusedinmanyhypothesistests.Theshapeofachi-squaredistributionisdeterminedbytheparameterk.Thegraphbelowshowsexamplesofchi-squaredistributionswithdifferentvaluesofk.Whatisachi-squaredistribution?Chi-square(Χ2)distributionsareafamilyofcontinuousprobabilitydistributions.They’rewidelyusedinhypothesistests[2],includingthechi-squaregoodnessoffittestandthechi-squaretestofindependence.Theshapeofachi-squaredistributionisdeterminedby...
A chi-square (Χ2) distribution is a continuous probability distribution[1] that is used in many hypothesis tests.
The shape of a chi-square distribution is determined by the parameter k. The graph below shows examples of chi-square distributions with different values of k.
What is a chi-square distribution?Chi-square (Χ2) distributions are a family of continuous probability distributions. They’re widely used in hypothesis tests[2], 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[3] k, which represents the degrees of freedom[4].
Very few real-world observations follow a chi-square distribution. The main purpose of chi-square distributions is hypothesis testing, not describing real-world distributions.
In contrast, most other widely used distributions, like normal distributions[5] or Poisson distributions[6], can describe useful thin...