Question

Trying to build what I believe to be a contingency table, please consider the following :

dist = Parallelize[Table[RandomVariate[NormalDistribution[]], {100000}]];

dist2 = Rest@FoldList[0.95 # + #2 &, 0, dist];

dist3 = Rest@FoldList[0.95 # + Abs[#2] &, 0, dist];

dist4 = {dist2, dist3}\[Transpose]

q1 = Flatten[{Quantile[dist2, {1/3, 2/3}], Quantile[dist3, {1/3, 2/3}]}]

{-1.39001, 1.33851, 15.0327, 16.6757}

What I need to do : For each element of dist4 I need to see with of the 9 box below it belongs to :

for example : {1.55191, 15.7189} belongs to 2   
                            1.55 belongs to 1 and 
                           15.71 belongs to 8  
So the intersection is 2.  

I have tried If, or Switch but it is to long to write. Is there an automatic way to do this ?

Answer 1

If I understand the question, I think this does it:

{a, b, c, d} = q1;
tbl = Range@9 ~Partition~ 3;

f[{x_, y_}] := tbl[[
  Which[x > b, 1, x > a, 2, x <= a, 3],
  Which[y < c, 1, y < d, 2, y >= d, 3]
  ]]

f /@ dist4 // Short