# Thread: Building confidence intervals using Coefficient of variation

1. ## Building confidence intervals using Coefficient of variation

Hi
I have a doubt and i need to understand it.
At my work, my colleagues use the coefficient of variation for doing confidence intervals.
Not directly, obvious.
They used this formula for the lower interval
Code:
``X-Z(95%)*X*Coefficient of variation/100``
.
And i just don't get it.
I've played with it and tried to take it to the class familiar way
Code:
``X-Z(95%)*Standard Deviation/Square Root(n)``
So, can you guide me?
What am i forgetting to assimilate this new way of creating intervals?
Thanks a lot for your replies and time.

2. ## Re: Building confidence intervals using Coefficient of variation

Yeah, I am also not quite following. Are these data coming from a regression model or not?

3. ## Re: Building confidence intervals using Coefficient of variation

It's a survey.

4. ## Re: Building confidence intervals using Coefficient of variation

Just using data for a singe variable or is this from a more complex model?

5. ## Re: Building confidence intervals using Coefficient of variation

For a single variable.

6. ## Re: Building confidence intervals using Coefficient of variation

Well if I am following:

X-Z(95%)*X*Coefficient of variation/100

If Coefficient was calculated (x/sd)*100, then the above would give you:

mean -(zscore*sd), which would be different from your standard approach since it would not directly address the sample size.

7. ## Re: Building confidence intervals using Coefficient of variation

That's right. Where is the "Square root(n)"?
If i am working with a population or a sample, does it make a difference in "Square root(n)"?

8. ## Re: Building confidence intervals using Coefficient of variation

You will have to verify this, but isn't the SE of a population the SD.

Are you treating your data as a sample or population?

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