sensortoolkit.calculate._rmse

This module computes the root mean square error for quantifying the error between sensor and FRM/FEM measurements.

U.S. EPA’s Performance Targets Reports recommend the root mean square error (RMSE), where RMSE is calculated as

\[RMSE = \sqrt{\frac{1}{N\times M}\sum_{j=1}^{M}\left[ \sum_{d=1}^{N}\left(x_{dj}-R_{d}\right)^2\right]}\]
where:

\(RMSE\) = root mean square error

\(N\) = number of 1-hour/24-hour periods during which all identical instruments are operating and returning valid averages over the duration of the field test

\(N\) = number of identical sensors operated simultaneously during a field test

\(x_{pj}\) = valid 1-hour/24-hour averaged sensor PM2.5 concentration for averaging interval p and instrument j

\(R_{p}\) = valid 1-hour/24-hour averaged FRM/FEM PM2.5 concentration for averaging interval p

This equation assumes only one FRM/FEM instrument will be running. If multiple FRM/FEM instruments are running, separate testing reports can be generated for each.


@Author:
Samuel Frederick, NSSC Contractor (ORAU)
U.S. EPA / ORD / CEMM / AMCD / SFSB
Created:

Wed Sep 8 10:34:51 2021

Last Updated:

Wed Sep 8 10:34:51 2021

Functions

rmse

Compute the root mean square error for concurrent sensor measurements in each testing deployment groups.