[A method for knowing the statistical reliability of instrumental measurements]

Area of Science:

• Analytical Chemistry
• Statistics

Context:

• Measurement precision, expressed as standard deviation (SD) or relative standard deviation (RSD), is crucial in analytical chemistry and regulatory science.
• Reliable precision estimation typically requires numerous repetitive experiments, which can be resource-intensive.
• Existing statistical methods offer limited reliability when based on a small number of trials.

Purpose:

• To present FUMI theory, a novel method for estimating measurement precision.
• To demonstrate that FUMI theory can derive precision from a single measurement of noise and signal.
• To show that FUMI theory achieves a statistical reliability equivalent to 50 repetitive experiments.

Summary:

• FUMI theory enables the calculation of measurement precision using only a single data set, encompassing both noise and signal components.
• This method bypasses the need for multiple experimental runs, significantly streamlining the precision assessment process.
• The statistical robustness of precision determined by FUMI theory is comparable to that obtained from conducting 50 traditional repetitive experiments.

Impact:

• Provides a highly reliable method for precision estimation without the need for repeated measurements.
• Enhances the efficiency and reduces the cost associated with determining instrumental measurement precision.
• Improves the reliability of critical analytical parameters like detection limits and confidence intervals in regulatory science.