onlinetwodcorrelation:   Correlation coefficient of a discrete joint probability distribution P(x,y)


Formulas

P(x|y) = P(x,y)/P(y)

P(y|x) = P(x,y)/P(x)

s2x = Σ(x-x̄)2f(x)

s2y = Σ(y-ȳ)2f(y)

sx,y = Σ(x-x̄)(y-ȳ)f(x,y)

rx,y = sx,y/(sxsy)

Reference


INPUT DATA:

Enter size of square array n (number n of x equal to number n of y):     

Enter n Px(j) values (in any consistent units; separate each value with a comma):
[Px (j, k) = Py (j, k) ]:

Enter n2 Px,y(j,k) values (j varying first, k varying second; separate each value with a comma)
[The sum of Px,y (j, k) values should equal 1]:


ECHO OF INPUT:

n =  




OUTPUT:

Variance sx = 0

Variance sy = 0

Covariance sx,y = 0

Correlation coefficient rx,y = 0


            

  Your request was processed at  01:00:43 pm on September 26th, 2017   [ 170926  13:00:43 ].


Thank you for running onlinetwodcorrelation.   Please call again.   [151030]

Count