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| Keywords: Scaled chi squared.svg sample variance s<sup>2</sup> <math>s 2 \frac \;\sigma 2 \nu \; \chi_\nu 2</math> where s<sup>2</sup> is the mean of the squares of independent normal distributions of mean 0 and standard deviation ; plotted here for the case 1 0 Equivalently this is also a plot of the distribution of the variance ratio s<sup>2</sup>/ <sup>2</sup> for any value of As increases s<sup>2</sup>/ <sup>2</sup> becomes more sharply peaked close to 1 2012-10-21 10 43 59 own Created in R using the code fragment below Jheald Created with R v CairoSVG scaled_chi_squared svg width 3 height 3 pointsize 8 x <- seq 0 5 by 0 02 par mar c 5 4 2 2 + 0 1 plot x dchisq 2 x 2 2 ty 'l' col brown ylab f x lines x dchisq x 1 ty 'l' col blue lines x dchisq 3 x 3 3 ty 'l' col red lines x dchisq 6 x 6 6 ty 'l' col green lines x dchisq 10 x 10 10 ty 'l' col black legend topright legend expression nu 1 nu 2 nu 3 nu 6 nu 10 lty 1 col c blue brown red green black bty n dev off See also File Scaled chi squared cdf svg cc-zero Uploaded with UploadWizard Chi-square distribution | ||||
