Chi | chi-squared distribution
ProbabilitydistributionandspecialcaseofgammadistributionThisarticleisaboutthemathematicsofthechi-squareddistribution.Foritsusesinstatistics,seechi-squaredtest.Forthemusicgroup,seeChi2(band).Chi-squaredProbabilitydensityfunctionCumulativedistributionfunctionNotationχ2(k){displaystylechi{2}(k);}orχk2{displaystylechi_{k}{2}!}Parametersk∈N∗ {displaystylekinmathbb{N}{*}~~}(knownas"degreesoffreedom")Supportx∈(0,+∞){displaystylexin(0,+infty);}ifk=1{displaystylek=1},otherwisex∈[0,+∞){displaystylexi...
Probability distribution and special case of gamma distribution
This article is about the mathematics of the chi-squared distribution. For its uses in statistics, see chi-squared test. For the music group, see Chi2 (band). Chi-squaredProbability density function
Cumulative distribution function
Notation χ2(k){displaystyle chi {2}(k);} or χk2{displaystyle chi _{k}{2}!}Parameters k∈N∗ {displaystyle kin mathbb {N} {*}~~} (known as "degrees of freedom")Support x∈(0,+∞){displaystyle xin (0,+infty );} if k=1{displaystyle k=1}, otherwise x∈[0,+∞){displaystyle xin [0,+infty );}PDF 12k/2Γ(k/2)xk/2−1e−x/2{displaystyle {frac {1}{2{k/2}Gamma (k/2)}};x{k/2-1}e{-x/2};}CDF 1Γ(k/2)γ(k2,x2){displaystyle {frac {1}{Gamma (k/2)}};gamma left({frac {k}{2}},,{frac {x}{2}} ight);}Mean k{displaystyle k}Median ≈k(1−29k)3{displaystyle approx k{igg (}1-{frac {2}{9k}}{igg )}{3};}Mode max(k−2,0){displaystyle max(k-2,0);}Variance 2k{displaystyle 2k...取得本站獨家住宿推薦 15%OFF 訂房優惠
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A Comprehensive Guide to Chi Square Distribution. | chi-squared distribution
2023年7月11日 — The Chi-Square distribution, also written as χ2 distribution, is a continuous probability distribution that is widely used in statistical ... Read More
Chi Square Distribution | chi-squared distribution
The Chi Square distribution is the distribution of the sum of squared standard normal deviates. The degrees of freedom of the distribution is equal to the number of standard normal deviates being summed. ... The mean of a Chi Square distribution is its de Read More
Chi | chi-squared distribution
2022年5月20日 — A chi-square distribution (Χ² distribution) is a continuous probability distribution that is used in many hypothesis tests. Read More
Chi | chi-squared distribution
A chi-square distribution is a continuous distribution with k degrees of freedom. It is used to describe the distribution of a sum of squared random ... Read More
Chi-Square Distribution | chi-squared distribution
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Chi | chi-squared distribution
The Chi-square distribution is a theoretical distribution of values for a population that is shaped by the chosen alpha level and degrees of freedom. Read More
Chi-square distribution | Mean, variance | chi-squared distribution
Chi-square distribution ... A random variable has a Chi-square distribution if it can be written as a sum of squares of independent standard normal variables. Read More
Chi | chi-squared distribution
Simple explanation of chi-square statistic plus how to calculate the chi-square statistic. Free online calculators and homework help. Read More
Chi-square, t- | chi-squared distribution
We only note that: Chi-square is a class of distribu- tion indexed by its degree of freedom, like the t-distribution. In fact, chi-square has a relation with t. Read More
Chi | chi-squared distribution
independent standard normal random variables. The chi-squared distribution is a special case of the gamma distribution and is one of the most widely used ... Read More
Chi | chi-squared distribution
In probability theory and statistics, the chi-square distribution with k degrees of freedom is the distribution of a sum of the squares of k independent standard ... Read More
Chi-Squared Distribution | chi-squared distribution
with r=sum_(j=1)^(k)r_j degrees of freedom. ChiSquared ChiSquarePlots. The probability density function for the chi^2 distribution with r degrees of freedom is ... Read More
Noncentral chi | chi-squared distribution
In probability theory and statistics, the noncentral chi-square distribution is a generalization of the chi-square distribution. It often arises in the power analysis of ... Read More
卡方分布(Chi | chi-squared distribution
卡方分布(Chi-Square distribution). 卡方分布是由英國統計學家-卡爾‧皮爾生(Karl Pearson),於西元1900年所提出,他發展出的適合性檢定(goodness-of-fit test)就是 ... Read More
卡方分布 | chi-squared distribution
卡方分布(英語:chi-square distribution, χ²-distribution,或寫作χ²分布 ... Sanders. Characteristic function of the central chi-squared distribution (PDF). Read More
卡方分布 | chi-squared distribution
卡方分布(chi-square distribution, χ²-distribution,或寫作χ²分布)是機率論與統計學中常用的一種機率分布。k個獨立的標準常態分布變數的平方和服從自由度為k的卡 ... Read More
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