# Thread: homoscedastic: interpret the results?????

1. ## homoscedastic: interpret the results?????

Hi all

How can I interpret the result of homoscedastic regression??
The null is that model homoscedastic: constant
and prob >Chi2 is 0.0971
chi2(1) = 2.75

if (prob >Chi2) is greater than 0.05 (5%), do I accept the null ?
or do I compare the Chi from the test to a critical Chi?
and where do I get the critical values of Chi ??
(results is attached)

Thanks

2. ## Re: homoscedastic: interpret the results?????

Compare p value to 0.05 is equivalent to compare the critical value (under p = 0.05) and the observed chi2.

Using a control of type I error 0.05, null hypothesis is accepted if p-value > 0.05.

Originally Posted by Mareah
Hi all

How can I interpret the result of homoscedastic regression??
The null is that model homoscedastic: constant

and prob >Chi2 is 0.0971
chi2(1) = 2.75

if (prob >Chi2) is greater than 0.05 (5%), do I accept the null ?
or do I compare the Chi from the test to a critical Chi?
and where do I get the critical values of Chi ??
(results is attached)

Thanks

3. ## Re: homoscedastic: interpret the results?????

Yes, in other words the critical value is 2.75 with 1 degree of freedom, which translate to a p-value 0.0971. The p-value is > than the 0.05 level of significance, so you fail to reject the null hypothesis. You can also look up the p-value or critical value using a chi-square table, as long as you know the degrees of freedom.

4. ## Re: homoscedastic: interpret the results?????

Thank you all. That is very helpful.
I hope you can also help me about how should I present this finding in proper academic sentences (in a research paper), to show my understanding of these figures and to explain that I made my judgments of accepting the null on the basis of p-value and chi2.

is it correct to say:
null hypothesis is accepted as p-value is greater than 0.05.
or: as p-value is 0.097.
or: as p-value > chi-squared equals to 0.079

5. ## Re: homoscedastic: interpret the results?????

I wouldn't say it's accepted, it's just not rejected at the 5% level.

6. ## Re: homoscedastic: interpret the results?????

Yup,

Failed to reject the null hypothesis at 0.05 level of significance.

7. ## Re: homoscedastic: interpret the results?????

You typically use this phraseology because your test could have been underpowered or there could be sample characteristic issues

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