Programming the statistical procedures from SAS

Sample size n and significance

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Frequent Contributor
Posts: 131

Sample size n and significance

Hi Sir,

I have a very large dataset (>500k records) and will use it to run linear regression. The large sample size makes the power of statistical tests also very large. This means that any tiny little effect will cause the null hypothesis H0 to be rejected. It becomes very impractical to judge the significance of a variable simply based on p-value.

Is there any reference or rule which provides a guideline for the sample size and significance level alpha? For example, rather than treat 5% as significance level for small sample, do I use 0.1% as significance level? So if the p-value for a variable is 2%, it is treated as not significant.

Thanks for your clarification and suggestion.

Super User
Posts: 9,769

Sample size n and significance

I recommend you to use Confidence interval .

Ksharp

Super User
Posts: 18,542

Sample size n and significance

Confidence interval and cut offs are related so essentially the same test.

I recommend a multistep model building approach.

1. Hold back a set of data, ie use 250k for model fitting and 250k as model testing

2. Use a cutoff of 0.025 or less to test if a variable is significant

3. Test in the hold back dataset for significance.

4. Repeat with different hold back samples to ensure there is actually an effect. You'll also want to differentiate between statistically significant results and practically significant.

Contributor
Posts: 52

Re: Sample size n and significance

Hi, Ksharp, and Reeza, I also want to understand this bit. Quite good knowledge.

Can I ask why confidence interval is a good option when the sample size is large? Confidence interval only tells if it contains the point of zero. If the sample size is large, then the confidence interval should be very narrow. Any more information from confidence interval that i don't know?

Frequent Contributor
Posts: 104

Re: Sample size n and significance

You are right that as sample size increases, the ability to resolve increases, and you are able to split hair if you have huge data volume.  Regression with multi-million records are being done routinely, something that's just not imaginable not that long ago.  At some point one need to stop asking only statistical significance (is it really there or not?) and start asking context significance (so that 0.00001% difference is truly there, so what?).  Ruth's point #4 last sentence is absolutely bang-on.

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