How to calculate confidence intervals around threshold

[steffejr]

Hello,
How can I calculate the 95% confidence intervals around a threshold estimate?
Thank you

[kurokida]

Thank you for your interest in our library.

I’m afraid I don’t have much knowledge about statistics itself. I only rewrote QUEST+, a well-known method, as a JavaScript library.

One possible idea is to estimate the threshold for each participant as a point estimate, treat the collection of these estimates as a sample, and fit it to a t-distribution. In other words, it’s the same as calculating the confidence interval for the population mean. I’m not very confident whether this is the appropriate approach.

Best,
Daiichiro

[tpronk]

Alternatively, if you are unsure of the population distribution of your estimate, consider a bootstrapped confidence interval. A nice R-package for this purpose is https://cran.r-project.org/package=boot