D-optimal strain sensor placement for mechanical load estimation in the presence of nuisance loads and thermal strain
2025, Iriarte, Xabier, Bacaicoa, Julen, Aginaga, Jokin, Plaza, Aitor, Szczepańska-Alvarez, Anna
Notes on parametric functions in the linear model
2023, Szczepańska-Alvarez, Anna
Summary Starting from a simple Gauss–Markov model, this paper presents notes about criteria for the estimability of parametric functions of the vector of interest in linear models. The results obtained for the transformed models are compared with known results from the literature.
Biochemical Properties of Bioactive Compounds in the Oil from Polish Varieties of Camelina sativa Cultivated in 2019–2022
2024, Przybylska-Balcerek, Anna, Kurasiak-Popowska, Danuta, Graczyk, Małgorzata, Szczepańska-Alvarez, Anna, Rzyska, Katarzyna, Stuper-Szablewska, Kinga
AbstractCold‐pressed Camelina oil is a traditional oil registered as a traditional food in Poland. Camelina oil has health‐promoting properties and high oxidative stability. This may be due to the presence of various bioactive antioxidant compounds such as carotenoids, sterols and polyphenols. Bioactive compounds content in Camelina oil depends mainly on the varieties and on the conditions under which the crop was grown therefore the aim of the research was to analyse antioxidant bioactive compounds in oil from different cultivars of Camelina sativa seeds and to determine their relationship with oil parameters.
Testing Correlation in a Three-Level Model
2023, Szczepańska-Alvarez, Anna, Álvarez, Adolfo, Szwengiel, Artur, von Rosen, Dietrich
AbstractIn this paper, we present a statistical approach to evaluate the relationship between variables observed in a two-factors experiment. We consider a three-level model with covariance structure $${\varvec{\Sigma }} \otimes {\varvec{\Psi }}_1 \otimes {\varvec{\Psi }}_2$$ Σ ⊗ Ψ 1 ⊗ Ψ 2 , where $${\varvec{\Sigma }}$$ Σ is an arbitrary positive definite covariance matrix, and $${\varvec{\Psi }}_1$$ Ψ 1 and $${\varvec{\Psi }}_2$$ Ψ 2 are both correlation matrices with a compound symmetric structure corresponding to two different factors. The Rao’s score test is used to test the hypotheses that observations grouped by one or two factors are uncorrelated. We analyze a fermentation process to illustrate the results. Supplementary materials accompanying this paper appear online.