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  1. Racket makes learning fun...
    --- apologies to Fleetwood Mac

    I started translating (improving?) the Statistics classes R graphics with Racket plotting and math/distribution.

    codeberg.org/bsmall2/racket-di

    #RacketLang #RacketPlot #StatisticsRacket
    #RacketStatistics

  2. I was talking with the teacher of the statistics class today and trying to convince him (along with myself, so: convince us) that we could teach everything with one language: Racket. So I got distracted trying to learn enough statistics to tranlsate R-code into Racket Code.



    #lang racket
    (require plot)
    (require math/distributions)
    ;; R to Racket
    ;; ; Ztable, ZScore ??
    ;; ; (curve(dnorm(x, mean=0, sd=1), from=-4 to=4)
    ;; ; abline(v=qnorm(p=0.025, mean=0, sd=1)) ;; a=0.05(5%)とした場合
    ;; ; abline(v=qnorm(p=0.975, mean=0, sd=1))

    (define n-d-0-1 (normal-dist 0 1))
    (cdf n-d-0-1 0.025) ;; https://docs.racket-lang.org/math/dist_dist-objects.html
    ;; ; 0.509972518195238
    (inv-cdf n-d-0-1 0.025) ;; https://docs.racket-lang.org/math/dist_dist-objects.html
    ;; ; -1.9599639845400538
    (inv-cdf n-d-0-1 0.975) ;; 1.9599639845400536
    #;(define (n-d-0-1-pdf x)
      ((distribution-pdf n-d-0-1) x))
    ;; (n-d-0-1-pdf -4) ;; 0.00013383022576488534
    ;; (n-d-0-1-pdf 4)  ;; 0.00013383022576488534
    #;(plot (function n-d-0-1-pdf)
          #:x-min -4
          #:x-max 4)
    (define cdf-inv-0025 (inv-cdf (normal-dist 0 1) 0.025))
    (define cdf-inv-00975 (inv-cdf (normal-dist 0 1) 0.975))

    (plot (list
          (function (distribution-pdf (normal-dist 0 1)))
          (lines (list (vector cdf-inv-0025 0) (vector cdf-inv-0025 .4)))
          (lines (list (vector cdf-inv-00975 0) (vector cdf-inv-00975 .4)))
          ); end list of plot functions
          #:x-min -4 #:x-max 4
          #:out-file "norm-dist-inv-cdf-1.png")

    ;; ; https://www.medi-08-data-06.work/entry/2018/12/18/232204
    ;; ; https://r-coder.com/normal-distribution-r/
    ;; ; https://www.statology.org/dnorm-pnorm-rnorm-qnorm-in-r/
    ;; ; cdf, inverse-cdf https://docs.racket-lang.org/math/dist_dist-objects.html

    ;; (require math/statistics) ;; quantile
    ;;(quantile 0.025 < n-d-0-1) ;; no good, how to get xs from normal-dist??





    #racket-lang #DrRacket #StatisticsRacket