Skip to main content

table - Nice presentation of correlation matrix


IO have those data as a text file


tmp = {

{"Canada", 57.9, 14.5, 25.7, 2., 0.966},
{"USA", 6.3, 19.1, 71.7, 2.4, 0.956},
{"Mexique", 10.6, 3.8, 81.7, 4., 0.854},
{"Bresil", 83.9, 2.8, 9.3, 4., 0.813},
{"Allemagne", 4.3, 21.9, 62.3, 10.8, 0.947},
{"Belgique", 1.9, 54.4, 40.2, 2.7, 0.953},
{"Espagne", 9.9, 17.8, 61.7, 10., 0.955},
{"Finlande", 17.4, 28.8, 40.6, 12.9, 0.959},
{"France", 11.2, 77., 9.9, 1.5, 0.961},
{"Pays-Bas", 0.1, 4.3, 86.9, 7.2, 0.964},

{"Royaume-Uni", 2.3, 15.6, 76.8, 4.1, 0.947},
{"Suede", 44.7, 44.7, 3.9, 6.1, 0.963},
{"Suisse", 53.9, 41., 1.5, 1.7, 0.96},
{"Tchequie", 2.9, 29.6, 66.5, 1., 0.903},
{"Hongrie", 0.5, 36.7, 54.3, 8.1, 0.879},
{"Russie", 18.7, 15.9, 65., 0., 0.817},
{"Ukraine", 6.4, 48.1, 45.5, 0.1, 0.796},
{"Afrique.du.Sud", 2.3, 4.3, 93.3, 0.1, 0.683},
{"Chine", 14.2, 2., 83.5, 0.3, 0.772},
{"Japon", 7.5, 24.2, 65.6, 2.2, 0.96},

{"Inde", 15.2, 2.6, 80.4, 1.8, 0.612},
{"Nouvelle-Zelande", 54.4, 0., 34.2, 11.5, 0.95}
}

And I Imported it as a text file with option "data".


Then I can select only the data by


 tmp1 = Rest[tmp[[All, 2 ;; 6]]]

Then I can calculate the matrix of correlations


 Correlation[tmp1]


No problem and easy done. But I want to make a nice presentation of the correlation coefficient in a grid or a table with the name of the items as entry in line and column and positive correlation in blue - or the background of its cell in LightBlue and in LightRed the negative correlations.


At the end, I would like to conduct an acp and make presentation as in R. One can find an example here.


How can I do this ?




Comments

Post a Comment

Popular posts from this blog

front end - keyboard shortcut to invoke Insert new matrix

I frequently need to type in some matrices, and the menu command Insert > Table/Matrix > New... allows matrices with lines drawn between columns and rows, which is very helpful. I would like to make a keyboard shortcut for it, but cannot find the relevant frontend token command (4209405) for it. Since the FullForm[] and InputForm[] of matrices with lines drawn between rows and columns is the same as those without lines, it's hard to do this via 3rd party system-wide text expanders (e.g. autohotkey or atext on mac). How does one assign a keyboard shortcut for the menu item Insert > Table/Matrix > New... , preferably using only mathematica? Thanks! Answer In the MenuSetup.tr (for linux located in the $InstallationDirectory/SystemFiles/FrontEnd/TextResources/X/ directory), I changed the line MenuItem["&New...", "CreateGridBoxDialog"] to read MenuItem["&New...", "CreateGridBoxDialog", MenuKey["m", Modifiers-...
Post a Comment
Read more

How to thread a list

I have data in format data = {{a1, a2}, {b1, b2}, {c1, c2}, {d1, d2}} Tableform: I want to thread it to : tdata = {{{a1, b1}, {a2, b2}}, {{a1, c1}, {a2, c2}}, {{a1, d1}, {a2, d2}}} Tableform: And I would like to do better then pseudofunction[n_] := Transpose[{data2[[1]], data2[[n]]}]; SetAttributes[pseudofunction, Listable]; Range[2, 4] // pseudofunction Here is my benchmark data, where data3 is normal sample of real data. data3 = Drop[ExcelWorkBook[[Column1 ;; Column4]], None, 1]; data2 = {a #, b #, c #, d #} & /@ Range[1, 10^5]; data = RandomReal[{0, 1}, {10^6, 4}]; Here is my benchmark code kptnw[list_] := Transpose[{Table[First@#, {Length@# - 1}], Rest@#}, {3, 1, 2}] &@list kptnw2[list_] := Transpose[{ConstantArray[First@#, Length@# - 1], Rest@#}, {3, 1, 2}] &@list OleksandrR[list_] := Flatten[Outer[List, List@First[list], Rest[list], 1], {{2}, {1, 4}}] paradox2[list_] := Partition[Riffle[list[[1]], #], 2] & /@ Drop[list, 1] RM[list_] := FoldList[Transpose[{First@li...
Post a Comment
Read more

mathematical optimization - Minimizing using indices, error: Part::pkspec1: The expression cannot be used as a part specification

I want to use Minimize where the variables to minimize are indices pointing into an array. Here a MWE that hopefully shows what my problem is. vars = u@# & /@ Range[3]; cons = Flatten@ { Table[(u[j] != #) & /@ vars[[j + 1 ;; -1]], {j, 1, 3 - 1}], 1 vec1 = {1, 2, 3}; vec2 = {1, 2, 3}; Minimize[{Total@((vec1[[#]] - vec2[[u[#]]])^2 & /@ Range[1, 3]), cons}, vars, Integers] The error I get: Part::pkspec1: The expression u[1] cannot be used as a part specification. >> Answer Ok, it seems that one can get around Mathematica trying to evaluate vec2[[u[1]]] too early by using the function Indexed[vec2,u[1]] . The working MWE would then look like the following: vars = u@# & /@ Range[3]; cons = Flatten@{ Table[(u[j] != #) & /@ vars[[j + 1 ;; -1]], {j, 1, 3 - 1}], 1 vec1 = {1, 2, 3}; vec2 = {1, 2, 3}; NMinimize[ {Total@((vec1[[#]] - Indexed[vec2, u[#]])^2 & /@ R...
Post a Comment
Read more