Calculating Standard Error for Sample Size: A Guide

[vky]

hi, just wondering if there different ways to calculate the standard error for large and small sample size and if its so wats the formula we use? please give me a hand, hope this question makes sense.
cheers

 

[EnumaElish]

Are there multiple estimators of standard deviation with different small sample properties? Yes.

http://en.wikipedia.org/wiki/Standa...dard_deviation_from_sample_standard_deviation

 

[tacman]

Hello,

Calculating the standard error for sample size can be done using the following formula:

Standard Error = Standard Deviation / √(Sample Size)

This formula is applicable for both large and small sample sizes. However, for large sample sizes (usually above 30), the standard error tends to approach the population standard deviation and the formula becomes:

Standard Error = Population Standard Deviation / √(Sample Size)

In general, the larger the sample size, the smaller the standard error will be. This means that larger sample sizes provide more precise estimates of the population mean.

It's important to note that the standard error is a measure of the variability of the sample mean, not the individual data points. It tells us how much the sample mean is likely to vary from the true population mean.

I hope this helps clarify things. Let me know if you have any further questions. Best of luck with your calculations!