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Likelihood ratio

A method to assess whether an added parameter improves

the fit sufficiently

It is always true that:

The question is if L(X,b) is

sufficiently

larger:

Test with χ

2

distribution with df=difference in # of parameters

1

) , ( max

)

( max

,

bX

L

X

L

bX

X







) , (

max

) (

max

ln2

,

2

bXL

XL

bX

X