I fit 2-dimensional binned likelihood fit to the data with uncorrelated 2 variables.
To show goodness-of-fit after fitting, I plot the data and fit function on each dimension.
Then I got -2log(LR),LR means Likelihood Ratio, using data points and function curve in each dimension and summed them. I took the number of bin in two dimensions minus the number of floated parameter from minuit as the number of degree of freedom(ndf). Finally I showed -2log(LR)/ndf as goodness-of-fit.
Is it reasonable?
Can we call 2-dimensional likelihood fit as simultaneous fit for 2-dimension if each dimension is not correlated?
Thanks in advance