
Rotor-Gene Q MDx CE User Manual 02/2022
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15
Appendix B – Mathematical Techniques
This appendix describes the mathematical techniques used in more detail.
15.1
Quantitation
Calculated concentrations are obtained from a simple linear regression model, with the known
values the log concentrations (x) and the experimental values the CT values (y).
The log concentrations and CT values of the standards are used to construct a model in the form:
y = Mx + B
15.1.1
Confidence intervals for calculated concentrations
We use the following confidence interval 100(1-
α
)% for an estimate of a new observation x0 from
the standard curve.
This is the confidence interval for the concentration of a single unknown.
Suppose now we have k further observations at x = x0 and we denote their average by
. Then,
and arguments similar to above give
This formula determines how confidence intervals for concentrations of replicate unknowns are
determined.