1. ## Overlapping confidence intervals

I have run an experiment looking at how repeatable urban and rural birds are in response to a stimulus (i.e. do they behave in the same way each time or change their behaviours). I have tested this using the rptR pacakage in R and found a significant result for rural birds (they are consistent) but not for urban birds (they are not consistent).

These results are interesting. However, the 95% confidence intervals for the two groups overlap which I think suggests no significant difference between groups.

So my question is, how do I interpret overlapping confidence intervals when one group is significant and the other is not? I can't say there is a statistical difference between populations, but one population shows significant repeatability and the other doesn't.

The attached graph shows my results.

Thanks!

2. ## Re: Overlapping confidence intervals

So the whiskers represent 95% confidence intervals? It sounds like you are blending to procedures together. How is repeatability defined to get a significant results?

So would this be like you testing that a value is not equal to zero, so you slap 95% CI on it, then you use that interval to compare it to another group? I think you are probably better off just actually testing your secondary hypothesis. Does rptR stand for Raptor?

3. ## The Following User Says Thank You to hlsmith For This Useful Post:

shardman (10-11-2016)

4. ## Re: Overlapping confidence intervals

This is a common misunderstanding. Confidence interval may overlap up to 25-30% and still be significant. See the linked article from Cornell University entitled Overlapping Confidence Intervals and Statistical Significance.

5. ## The Following User Says Thank You to Miner For This Useful Post:

shardman (10-11-2016)

6. ## Re: Overlapping confidence intervals

Hi hlsmith,

Thanks for your answer. rptR is the name of a package for measuring repeatability using R. Repeatability is defined as

between individual variance / between individual variance + residual variance

This gives a score from 0 to 1 where 1 means that individuals always respond in exactly the same way when they are measured and 0 means no consistency at all in responses. If the result includes 0 then it is non-significant. This is essentially the same as intra-class correlation (ICC) tests. rptR extracts these variances from GLMM models.

The plot in my post shows two separate tests one for urban and one for rural birds. Whether it even makes sense to compare confidence intervals from independent tests I don't know. The behaviour measured is the same in urban and rural birds but this is not directly a test to see if urban and rural are different from each other, just to see if either group shows significant repeatability. What I'm not sure of now is if I can say that urban and rural birds are different because rural birds show significant repeatability (P =<0.0001) and urban birds don't.

7. ## Re: Overlapping confidence intervals

Thanks for the link Miner, that's interesting!

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