Test For Goodness Fit

Question 1

What is test of goodness fit

Answer 1

Test for Goodness of Fit
Here, we wish to ascertain whether a given data follows a known distribution
For this type of problem, the test statistic is always Chi-square

Question 2

Solution Procedure

Answer 2

Compute the expected value of the data (mean)
Employ the Pdf of the desired distribution to compute probabilities for each random variable (0, 1, 2, . . n)
Compute the expected frequencies as: f_e = Np

Question 3

What does the table look like

Answer 3

Fo 
Fx
P(X=x)
Fe=np
Fe
Fo
(Fo-fe)^2

(Fo-fe)^2
————-
Fe

Population mean= total of fo/total of fx

P(X=x) = lamda^x e^- lamda
—————————
e!

Question 4

How do you find chi tabulated

Answer 4

If no parameters are stated
Chi tabulated = chi^2¥,k-1

If m parameters are estimated

Chi tabulated = chi^2¥,k-m-1
Where m is 1