goodness to fit

[laurenhosking]

How would I interoperate this goodness to fit

[laurenhosking]

@PaigeMiller @Rick_SAS 

[Rick_SAS · Accepted solution]

You can check a textbook for precise language. What I would say would depend on my audience.  If I want to be casual, I would say "the GOF tests indicate that the data are approximately normal with the given mean and standard deviation."  If I am talking to a colleague, I might say, "there is not sufficient evidence to reject the null hypothesis at the 0.05 significance level," where the "null hypothesis" is that the data are generated from a N(75.008, 13.925) distribution.

[laurenhosking]

Thank you rick. can I see that I can jeject the null hypothesis from the small table below too?

[PGStats]

From your output, there is no evidence that variable wt isn't normally distributed.

[laurenhosking]

thank you! how do you know this from the small table?

[Rick_SAS]

Yes, because the p values for the GOF tests are greater than 0.05.

[PGStats]

@Rick_SAS I guess you meant No: you can't reject the null hypothesis that the data is distributed normally.

[Rick_SAS]

Right. Thanks, PGStats. To clarify, the OP asked, "can I see that I can reject the null hypothesis from the small table below too?"

But she should have asked, "can I see from the table that the GOF tests FAIL TO reject the null hypothesis."

The answer is yes, you can see that from the table because the p values less than 0.05.