Given these data, we can define a statistic, called chi-square, using the following equation: χ2 = [ ( n - 1 ) * s2 ] / σ2 The distribution of the chi-square statistic is called the chi-square distribution. The chi-square distribution is defined by the following probability density...
in Chi-square distribution tables, where is tabulated for several values of and (see the lecture entitledChi-square distribution values). More details In the following subsections you can find more details about the Chi-square distribution. The sum of independent chi-square random variables is a ...
卡方分布(Chi-Square Distribution): 定义: 如果我们的随机变量是标准正态分布(详见以前博客的高斯分布),那么多个随机变量的平方和服从的分布即为卡方分布。 X=Y12+Y22+⋯+Yn2 其中,Y1,Y2,⋯,Yn均为服从标准正态分布的随机变量,那么XX服从卡方分布,值得注意的是其中的nn即随机变量的个数成为卡方分布的自由度...
Chi-square distribution." Wikipedia, the free encyclopedia. Viewed Febru- ary - 2006. http://en.wikipedia.org/wiki/Chi-square_distribution.Lancaster, H.O.: `The chi-square distribution' (John Wiley & Sons Inc., New York, 1969)James W. Stoutenborough and Paul E. Johnson, Chi- Square ...
The left-hand side of this equation has a chi-square distribution with n degrees of freedom. Also, since (X¯−μ)/(σ|n)∼N(0,1) by Theorem 4.2.6 we have [(X¯−μ)|(σ|n)]2∼χ2(1). Now from Theorem 4.2.4, (n–1) S2/σ2 ∼ χ2 (n–1). (b) We wi...
The chi-square (χ2) distribution is a one-parameter family of curves. The chi-square distribution is commonly used in hypothesis testing, particularly the chi-square test for goodness of fit. Statistics and Machine Learning Toolbox™ offers multiple ways to work with the chi-square distribut...
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Chi-Square Distribution The chi-square distribution is commonly used in hypothesis testing, particularly the chi-square test for goodness of fit. Why did you choose this rating? How useful was this information? Unrated1 star2 stars3 stars4 stars5 stars...
4、The Chi-Square Distribution 卡方分布(也称为卡方分布)是gamma distribution的一种特殊情况;卡方分布与n自由度等于伽马分布= n / 2和b = 0.5(或β= 2)。 The chi-square distribution (also called the chi-squared distribution)isa special case of the gamma distribution; A chi square distribution with...
The Chi-Square Distribution Main Concept The Chi-Square ( 2 ) distribution is the distribution of the sum of squares of a number of independent normal random variables. The Chi-Square distribution can be used to test for goodness of fit of observed...