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The latter are provided by the non-linear regression procedure, together with the corresponding estimators of the width of the Confidence Intervals (i.e., the Asymptotic Standard Errors; ASEs). We tested, for two different assembling procedures, whether the range of values identified by the ASE actually correspond to the 95% Confidence Interval. Ten O<jats:sub>2<\/jats:sub> uptake responses were acquired on 10 healthy volunteers performing a square-wave moderate-intensity exercise. Kinetic parameters were estimated running the non-linear regression with a mono-exponential model on an increasingly greater number of responses (Nr, from 1 to 10), assembled together using the \u201cstacking\u201d and the \u201c1-s-bins\u201d procedures. Kinetic values obtained assembling together the 10 repetitions were assumed as \u201ctrue\u201d values. The time constant was not affected by Nr or by the assembling procedure (ANOVA; <jats:italic>p<\/jats:italic>&gt;0.54 and <jats:italic>p<\/jats:italic>&gt;0.16, respectively). The corresponding ASE decreased according to Nr (ANOVA; <jats:italic>p<\/jats:italic>=0.000), being significantly smaller for the \u201c1-s-bins\u201d procedure compared to the \u201cstacking\u201d one (ANOVA; <jats:italic>p<\/jats:italic>&lt;0.001). Excluding 20s at the start of the fitting window, the range of values identified with the ASE provided by the \u201c1-s-bins\u201d and the \u201cstacking\u201d procedures included the \u201ctrue\u201d value in 85% and in 95% of cases, respectively. The \u201cstacking\u201d procedure should be preferred since it yielded ASEs for the time constant that provided a range of values satisfying the statistical meaning of the width of the Confidence Intervals, at the given degree of probability.<\/jats:p>","DOI":"10.1007\/s00421-024-05629-6","type":"journal-article","created":{"date-parts":[[2024,10,17]],"date-time":"2024-10-17T15:03:54Z","timestamp":1729177434000},"page":"781-791","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Confidence intervals estimator of the kinetic parameters: do its reliability depend on the assembling method of the oxygen uptakes?"],"prefix":"10.1007","volume":"125","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7892-863X","authenticated-orcid":false,"given":"Maria Pia","family":"Francescato","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0577-1317","authenticated-orcid":false,"given":"Valentina","family":"Cettolo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,10,17]]},"reference":[{"key":"5629_CR1","doi-asserted-by":"publisher","first-page":"2253","DOI":"10.1152\/jappl.1987.63.6.2253","volume":"63","author":"TJ Barstow","year":"1987","unstructured":"Barstow TJ, Mol\u00e9 PA (1987) Simulation of pulmonary O2 uptake during exercise transients in humans. 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