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S3 Topic 4: Goodness of fit and contingency tables
Fitting a Binomial distribution 1 backmore
Enter some figures (each should be greater than 5 but definitely bigger than 1) for Observed data in the top row of this table. Estimates of the mean and probability p of an assumed Binomial distribution B(8,p) are then found from this data, together with the Expected data and the calculation of S[O-E]²/E.
H0: A Binomial distribution is a suitable model for the observed data
H1: A Binomial distribution is not a suitable model for the observed data
If S[O-E]²/E is greater than 14.067 then you can be 95% certain that your Observed data is not, in fact, from a Binomial distribution.
x 0 1 2 3 4 5 6 7 8
Observed data
mean =
p =
Expected data
[O-E]²/E =
S[O-E]²/E =

Summary
graphic calculatorIf you have a graphic calculator, follow this link to find out more about using it to do a Goodness of fit test: graphic calculator
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