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1. ### Relationship of precision of mean of repeated measurements and precision of single measurement

Am I just being obtuse about this? I was thinking that the standard error of the mean (SEM) is based on the SD of the sample, and I wasn't sure if it's valid to combine a previously established SD with the number of observations in a new sample to find the SEM of that new sample, but I took...
2. ### How to calculate the precision of the mean of univariate time series data, based on the precision of the discrete measurements it consists of

I haven't had much luck getting an answer to the question I asked a week ago, so here's a simpler question that I hope somebody will be able to answer: If I have measurements of some variable collected at a regular frequency for some period of time, how can I calculate the precision of the mean...
3. ### Relationship of precision of mean of repeated measurements and precision of single measurement

The random error of the mean of repeated measurements of the same physical quantity decreases in proportion to the number of measurements. My question is, if I know the standard deviation or 95% CI for a single measurement with a given instrument (in other words, the precision of the instrument...
4. ### Aggregate precision of a measurement instrument based on a sample of measurements whose true errors are known

I want to estimate the accuracy and precision of aggregate data from an instrument that measures a variable that fluctuates over time by comparing a sample of its measurements to concurrent measurements made by a reference instrument. For this purpose, assume that the reference instrument...