PubMed · 5816205
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N Tachibana. 1969. [Statistical method. 10].. https://pubmed.ncbi.nlm.nih.gov/5816205/
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The precision of instrumental measurements, usually expressed by SD (standard deviation) or RSD (relative standard deviation) is of importance in a society as well as in a world of analytical chemistry. For example, the detection limit and confidence intervals of calibration lines which are based on the precision are inevitable for regulatory science. As is well-known in statistics, however, a small number of repetitive experiments (e.g., 5) lead to a poor reliability of the precision. This presentation shows a method (called FUMI theory) which can provide a precision from a single measurement of noise and signal without any repetitive measurements. The statistical reliability of the precision from the FUMI theory corresponds to that from the repetitive method of 50 experiments.