I have some time time series data which I aim to analyse against 0. To do this I intend to use a one samples t-test whilst chopping the data into interval windows. I will likely use a Bonferonni correction to strictly control for the multiple comparisons.

The research question would likely benefit from changing the sampling method to a sliding window, however, I'm aware of the huge amount of correlation I will get rendering anything which requires statistical independence useless. Is there an established method to overcome this issue?

Cheers

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