BUCHI NIRCal - Manual (Page 164)

NIRCal 5.5 Software Manual
164 NIRCal 5.5 Manual, Version A
RMSEP (Root Mean Square Error of Prediction): The RMSEP is an estimate of the random and
systematic errors in the predictions.
SEP (Standard Error of Prediction): The SEP is an estimate of the random error.
Slope and offset: The slope and offset of the regression line are both indicated in the figure above.
They are found as a linear model of the form y = ax+b, where y is the reference value, a is the slope, x
is the predicted value and b is the offset:
where X is the a n x 2 matrix with 1 in the first column and ŷ in the second column; y is a column vector
of reference values and
̂ is a two element column vector with the offset and slope.
RSD (Residual Standard Deviation): This estimates the random error corrected with the slope.
RMSEP vs SEP vs RSD: The three estimates of random errors each include

RMSEP: Random error + systematic slope + bias

SEP: Random error + systematic slope

RSD: Random error
Slope and bias correction
If the prediction protocol is based on an independent test set, then the slope and offset calculated in
the prediction protocol can be used directly in the management console to make slope and bias
correction. Notice that the offset value from the prediction protocol must be entred in the bias
field.