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Calcuate the error between two histograms and also p-value?

Posted 5 months ago
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Dear all,

Is it possible calculate the error between the two smooth histograms and p-value for the model values?

data = {1.2803`, 1.3201`, 1.3293`, 1.3218`, 1.3083`, 1.3173`, 1.3199`,
    1.3199`, 1.3003`, 1.302`, 1.2893`, 1.3005`, 1.3155`, 1.3138`, 
   1.3186`, 1.3194`, 1.3127`, 1.3114`, 1.3335`, 1.3437`};

model = {1.30276835568204`, 1.28597164114136`, 1.30781887157607`, 
   1.32399857112606`, 1.3125415849624`, 1.33466340860532`, 
   1.34154207756901`, 1.33888043871135`, 1.29826352017477`, 
   1.29423486081725`, 1.29031985739288`, 1.29343024958048`, 
   1.29583849802769`, 1.28302041907369`, 1.25946083824112`, 
   1.26819316624496`, 1.2553816286335`, 1.26094249800321`, 
   1.22202625825362`, 1.20903091640703`};

SmoothHistogram[{data, model}, 
 PlotStyle -> {{Dashed, Thickness[.004]}, {Orange, Thickness[.002]}}, 
 LabelStyle -> {17, GrayLevel[0]}, ImageSize -> 700, PlotRange -> All,
  PlotLegends -> {"data", "model"}, 
 AxesLabel -> {"EUR/USD", "SmoothHistogram"}]

enter image description here

3 Replies
Posted 5 months ago

What do you mean by "error" ? Maximum difference between the CDF's? Area between the PDF's? Difference in means? You might want to ask this question first on CrossValidated and then back here for implementation in Mathematica.

Posted 5 months ago

Dear Jim,

I meant to calculate the area difference between the two curves as below: Error= Area der model -Area under data Fortunately, I found the solution.Thank you .

If possible, please let me know, it is possible to estimate the p-value?

Posted 5 months ago

You should wean yourself from relying solely on P-values. See the statement from the American Statistical Association.

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