canonical correlation coefficient
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2021 ◽  
Vol 11 (7) ◽  
pp. 258-269
Author(s):  
Valeriy Babelyuk ◽  
Ruslan Tserkovnyuk ◽  
Sofiya Ruzhylo ◽  
Galyna Dubkova ◽  
Nazariy Babelyuk ◽  
...  

Background. Previously we have been shown that between parameters of GDV and principal neuroendocrine factors of adaptation exist strong canonical correlation. In the next study, we detected very strong (R=0,994) integral canonical correlation between the parameters of GDV and Immunity. This study, conducted in the same contingent, will analyze the relationships between GDV parameters, on the one hand, and Phagocytosis and Leukocytogram parameters, on the other. Material and Methods. We observed twice ten women and ten men aged 33-76 years without clinical diagnose. In the morning in basal conditions at first registered kirlianogram by the method of GDV by the device “GDV Chamber” (“Biotechprogress”, SPb, RF). Than we counted up the Leukocytogram and determined Interleukin-1 serum level. Results processed by method of canonical analysis, using the software package “Statistica 5.5”. Results. According to the value of the canonical correlation coefficient R with GDV parameters, the components of the Leukocytogram are arranged in this order: proportion of monocytes (0,769) and eosinophils (0,703), entropy of Leukocytogram (0,636), total leukocytes level (0,558), proportion of lymphocytes (0,492), stub neutrophils (0,374) and polymorphonuclear neutrophils (0,307). Coefficient of canonical correlation between parameters of GDV, on the one hand, and, on the other hand, Leukocytogram, makes 0,904; Leukocytary Strain&Adaptation Indices-1 – 0,756; Leukocytary Strain&Adaptation Indices-2 – 0,783; Interleukin-1 – 0,798. Conclusion. The above data, taken together with the previous ones, state that between parameters of Neuroendocrine-Immune complex and GDV exist strong canonical correlation suggesting suitability of the latter method.


2021 ◽  
Vol 11 (6) ◽  
pp. 268-276
Author(s):  
Valeriy Babelyuk ◽  
Anatoliy Gozhenko ◽  
Galyna Dubkova ◽  
Nazariy Babelyuk ◽  
Walery Zukow ◽  
...  

Background. Previously we have been shown that between parameters of GDV and principal neuroendocrine factors of adaptation exist strong canonical correlation. In the next study, we detected very strong (R=0,994) integral canonical correlation between the parameters of GDV and Immunity. This study, conducted in the same contingent, will analyze the relationships between GDV parameters, on the one hand, and Phagocytosis parameters, on the other. Material and Methods. We observed twice ten women and ten men aged 33-76 years without clinical diagnose. In the morning in basal conditions at first registered kirlianogram by the method of GDV by the device “GDV Chamber” (“Biotechprogress”, SPb, RF). Than we estimated the parameters of Phagocytic function of neutrophils. Results processed by method of canonical analysis, using the software package “Statistica 5.5”. Results. According to the value of the canonical correlation coefficient R with GDV parameters, the registered Phagocytosis parameters are arranged in the following order: activity (0,616), bactericidal capacity (0,493), completeness (0,489) and intensity (0,484) of Phagocytosis of E. coli; completeness (0,482), bactericidal capacity (0,448), activity (0,364) and intensity (0,338) of Phagocytosis of Staph. aureus. Coefficient of canonical correlation between parameters of GDV, on the one hand, and Phagocytosis, on the other hand, makes 0,847. Conclusion. The above data, taken together with the previous ones, state that between parameters of Neuroendocrine-Immune complex and GDV exist strong canonical correlation suggesting suitability of the latter method.


2021 ◽  
Author(s):  
Linda Douw ◽  
Ida A. Nissen ◽  
Sophie M.D.D. Fitzsimmons ◽  
Fernando A.N. Santos ◽  
Arjan Hillebrand ◽  
...  

ABSTRACTTemporal lobe epilepsy patients are heterogeneous regarding cognitive functioning, with predominant risk of memory deficits. Despite major advances within cellular neuroscience, neuroimaging, and neuropsychology, it remains challenging to integrate memory performance with cellular characteristics and brain network topology. In a unique dataset, we investigate these cross-scale individual differences. Preoperatively, drug-resistant temporal lobe epilepsy patients (n = 31, 15 females) underwent functional magnetic resonance imaging, magnetoencephalography and/or memory testing. Macro-scale network centrality was determined, since the number of integrative functional connections a region has is crucial for memory functioning. Subsequently, non-pathological cortical tissue resected from the lateral middle temporal gyrus (default mode network) was used for single cell morphological (total dendritic length) and electrophysiological patch-clamp analysis (action potential rise speed). We expected greater macro-scale centrality to relate to longer micro-scale dendritic length and faster action potentials, and greater centrality to relate to better memory performance. Greater macro-scale centrality correlated with longer dendritic length and faster action potentials (canonical correlation coefficient = 0.329, p < 0.001). Moreover, greater macro-scale centrality was related to better memory performance (canonical correlation coefficient = 0.234, p = 0.013). We conclude that more complex neuronal morphology and faster action potential kinetics are mirrored by more integrative functional network topology of the middle temporal gyrus, which in turn is associated with better memory functioning. Thus, our cross-scale analyses reveal a significant relationship between cellular and imaging measures of network topology in the brain, which support cognitive performance in these patients.


2017 ◽  
Vol 62 (5) ◽  
pp. 19-37
Author(s):  
Karol Deręgowski ◽  
Mirosław Krzyśko ◽  
Łukasz Waszak ◽  
Waldemar Wołyński

The article aims to examine the relations between expenditure on alcoholic beverages and tobacco and other consumer expenditure of households in 27 European countries within 2000—2010. The choice of countries and time series was determined by the availability and completeness of Eurostat data. The years were analysed collectively not separately, which is a novelty presented in this paper. Such an approach was possible due the transformation of primary data into multivariate functional ones, and then the construction of correlations and canonical variables for transformed data. The study shows that expenditure on alcoholic beverages and tobacco is strongly correlated with other consumption expenditure (the canonical correlation coefficient between the two first functional canonical variables is 0.99). The expenditure on alcoholic beverages and tobacco has almost the same contribution to the construction of the functional canonical U1 variable, while the expenditure on food and non-alcoholic beverages and expenditure on clothing and footwear has the largest impact on the development of the functional canonical V1 variable.


2013 ◽  
Vol 50 (2) ◽  
pp. 95-105 ◽  
Author(s):  
Mirosław Krzyśko ◽  
Łukasz Waszak

Summary Classical canonical correlation analysis seeks the associations between two data sets, i.e. it searches for linear combinations of the original variables having maximal correlation. Our task is to maximize this correlation, and is equivalent to solving a generalized eigenvalue problem. The maximal correlation coefficient (being a solution of this problem) is the first canonical correlation coefficient. In this paper we propose a new method of constructing canonical correlations and canonical variables for a pair of stochastic processes represented by a finite number of orthonormal basis functions.


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