A clarification on the level of confidence for a Chi-squared distributionSuppose we have χ1−α,292=45.22, where the Chi-squared distribution has 29 degrees of freedom and (1−α)% level of confidence. How then do we compute 1−α? The notation of χ2. I've found in books and online sources all come in the form of χc2, where c is the degrees of freedom.I know this question seems trivial, but I'm still relatively new to Statistics.. Some clarification will be great!

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A clarification on the level of confidence for a Chi-squared distributionSuppose we have χ1−α,292=45.22, where the Chi-squared distribution has 29 degrees of freedom and (1−α)% level of confidence. How then do we compute 1−α? The notation of χ2. I&#039;ve found in books and online sources all come in the form of χc2, where c is the degrees of freedom.I know this question seems trivial, but I&#039;m still relatively new to Statistics.. Some clarification will be great!

ofisu2n3 · Accepted Answer

Recall that for X∼ChiSquare⁡(ν), that is to say χν2, we havefX(x)=xν2−1e−x22ν2Γ(ν2),x&amp;gt;0,hence, Pr[X≤χ1−α,ν2]=1−α.In other words, χ1−α,ν2 is the 1−α quantile of the chi-square distribution with ν degrees of freedom. Given this value and ν, the computation for α involves computing an integral; in your case, numeric evaluation of ∫x=045.22fX(x),dx≈0.971992,or a≈0.028.

A clarification on the level of confidence for a Chi-squared distribution Suppose we have \ch

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