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

Questions
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1

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"}]

2659Untitled.png
2659Untitled.png1077×590 11.1 KB

2

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.

3

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?

4

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