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Multivariate Statistics

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Multivariate statistics is a branch of statistics that deals with the analysis of data involving multiple variables simultaneously. It encompasses various techniques for understanding relationships, patterns, and structures within multidimensional datasets, enabling researchers to draw insights from complex data interactions.
We consider computational methods for evaluating and approximating multivariate chisquare probabilities in cases where the pertaining correlation matrix or blocks thereof have a low-factorial representation. To this end, techniques from... more
Based on the theory of multiple statistical hypothesis testing, we elaborate simultaneous statistical inference methods in dynamic factor models. In particular, we employ structural properties of multivariate chi-squared distributions in... more
Based on the theory of multiple statistical hypothesis testing, we elaborate simultaneous statistical inference methods in dynamic factor models. In particular, we employ structural properties of multivariate chi-squared distributions in... more
Epigenetic research leads to complex data structures. Since parametric model assumptions for the distribution of epigenetic data are hard to verify we introduce in the present work a nonparametric statistical framework for two-group... more
We consider computational methods for evaluating and approximating multivariate chisquare probabilities in cases where the pertaining correlation matrix or blocks thereof have a low-factorial representation. To this end, techniques from... more
] breeding material based on multiple crucial characters is important towards the possible formation of homogeneous groups of genotypes and groups that can be exploited in the identification of parents for use in a breeding program. The... more
Given a data set arising from a series of observations, an outlier is a value that deviates substantially from the natural variability of the data set as to arouse suspicions that it was generated by a different mechanism. We call an... more
Geostatistical methods are grouped in two main divisions: univariate and multivariate. When there is adequate amount of primary data, univariate methods such as kriging and SGS give a good representation of property distribution in the... more
Geostatistical methods are grouped in two main divisions: univariate and multivariate. When there is adequate amount of primary data, univariate methods such as kriging and SGS give a good representation of property distribution in the... more
How can process-based researchers bridge the gap between individuals and groups? Discover the dynamic p-technique,
Most of the existing data mining approaches to time series prediction use data preparation techniques involving an embed of the most recent values of the time series, following the traditional linear auto-regressive methodologies.... more
Physically disabled people experience more restrictions in social activities than healthy people, which are associated with lower level of well-being and poor quality of life (QoL). A cross-sectional study was conducted METHODS: This... more
Analyzing the propagation of uterine electrical activity is poised to become a powerful tool in labor detection and for the prediction of preterm labor. Several methods have been proposed to investigate the relationship between signals... more
The possibility of identifying the provenance of classical marbles and solving related questions, such as the joining fragments problem, via electron spin resonance spectroscopy has been reexamined. The method is based on characterization... more
Alzheimer's disease (AD) is known as one of the major causes of dementia and is characterized by slow progression over several years, with no treatments or available medicines. In this regard, there have been efforts to identify the risk... more
Alzheimer's disease (AD) is a progressive and irreversible neurodegenerative disorder that has recently seen serious increase in the number of affected subjects. In the last decade, neuroimaging has been shown to be a useful tool to... more
Alzheimer's disease (AD) is a progressive and irreversible neurodegenerative disorder that has recently seen serious increase in the number of affected subjects. In the last decade, neuroimaging has been shown to be a useful tool to... more
Sources of trace elements identification in drinking water of Rangpur district, Bangladesh and their potential health risk following multivariate techniques and Monte-Carlo simulation,
Anomalies in univariate time series often refer to abnormal values and deviations from the temporal patterns from majority of historical observations. In multivariate time series, anomalies also refer to abnormal changes in the... more
This study checks the hypothesis that sustainable well-being is a determinant factor of fertility through the application of a multiversal method based on the assumptions of Vibration of Effects (VoE) model of multiversal sampling on the... more
This study checks the hypothesis that sustainable well-being is a determinant factor of fertility through the application of a multiversal method based on the assumptions of Vibration of Effects (VoE) model of multiversal sampling on the... more
Deoxyribonucleic acid, more commonly known as DNA, is a fundamental genetic material in all living organisms, containing thousands of genes, but only a subset exhibit differential expression and play a crucial role in diseases. Microarray... more
The study examines the dynamic dependence structure between the Indian market and other emerging and developed Asia-Pacific markets, a symbol of India's growing economic connectivity with the global. We used the Copulabased Multivariate... more
Diabetes Mellitus is a metabolic disease caused by increased levels of glucose or blood sugar. Diabetes Mellitus is divided into three different types: type I diabetes, type II diabetes, and gestational diabetes or diabetes during... more
This study aims to identify the spatial variation of air pollutant and its pattern in the northern part of Peninsular Malaysia for four years monitoring observation (2008-2011) based on the seven air monitoring stations. Air pollutant... more
Objective: To establish a noticeable and a justifiable identification system to assess the impact of shodhana (processing) on various levels of Baliospermum montanum (Danti) root samples obtained through shodhana (processing technique) in... more
When testing and recording water quality data from treatment plants, errors arise. The errors are in the form of recordings left blank (missing values), obvious errors in writing or typing, or they can be as a result of values being very... more
This study evaluated the multivariate relationship among the crude protein (CP) intake and digestibility, the neutral detergent fiber (NDF) intake and digestibility, and the nitrogen excretion in hair sheep fed Mombasa grass silage mixed... more
High-field 31 P NMR (202.2 MHz) spectroscopy was applied to the analysis of 59 samples from three grades of olive oils, 34 extra virgin olive oils from various regions of Greece, and from different olive varieties, namely, 13 samples of... more
The statistical analysis of circular, multivariate circular, and spherical data is very important in different areas, such as paleomagnetism, astronomy and biology. The use of nonnegative trigonometric sums allows for the construction of... more
Loss functions proposed for nonmetric unfolding are discussed critically. Practical experience suggests that they do not work, mathematical reasons are sought why this is. Although the loss functions are constructed in such a way that... more
Polynomial component and factor analysis are defined. Algorithms, based on multidimensional array approximation methods, to fit a model with a single common factor to observed multivariate cumulants are described and applied to a... more
Matrix techniques for various types of diagonalizations of matrices and three-dimensinal arrays are implemented in R using Jacobi plane rotations.
In this paper it is argued that all multivariate estimation methods, such as OLS regression, simultaneous linear equations systems and, more widely, what are known as LISREL methods, have merit as geometric approximation methods, even if... more
Polynomial component and factor analysis are de-fined. Algorithms, based on multidimensional array approxi-mation methods, to fit a model with a single common factor to observed multivariate cumulants are described and applied to a... more
A model for predicting student performance on introductory programming modules is presented. The model uses attributes identified in a study carried out at four third-level institutions in the Republic of Ireland. Four instruments were... more
Objetivo: analizar a través de la producción científica el perfil de los cuidadores familiares de ancianos y su calidad de vida. Métodos: estudio descriptivo-discursivo de revisión integrativa. La búsqueda de
Degree of morphological difference between queens and workers is an important characteristic used to infer the mechanism of caste determination and levels of reproductive conflict in insect societies. In the polistine wasps, the degree of... more
A quantitative structure-property relationship (QSPR) study is suggested for the prediction of retention times of volatile organic compounds. Various kinds of molecular descriptors were calculated to represent the molecular structure of... more
A new implemented quantitative structure-property relationships (QSPR) method, whose descriptors achieved from bidimensional images, was suggested for the predicting of acidity constant (pK a ) of various acid. The resulted descriptors... more
The emphasis of this review is particularly on multivariate statistical methods currently used in quantitative structure–activity relationship (QSAR) studies.
In this paper it was investigated if any genotypic footprints from the fat mass and obesity associated (FTO) SNP could be found in 600 MHz 1 H CPMG NMR profiles of around 1,000 human plasma samples from healthy Danish twins. The problem... more
Chemometrics has been used for some 30 years but there is still need for disseminating the potential benefits to a wider audience. In this paper, we claim that proper analytical chemistry (1) must in fact incorporate a chemometric... more
Parallel factor analysis 2 (PARAFAC2) has been shown to be a powerful tool for resolution of complex overlapping peaks in chromatographic analyses. It is particularly useful because of its ability to handle shifts in the elution time mode... more
Hydrological resource management, including crop watering and irrigation scheduling, relies on reliable estimates of reference evapotranspiration (ETo). However, previous studies of forecasting ETo have not dealt with comparing single and... more
Accurate demand forecasting in the retail industry is a critical determinant of financial performance and supply chain efficiency. As global markets become increasingly interconnected, businesses are turning towards advanced prediction... more
Health impact assessment (HIA) focuses on minimizing inequities when studying the effects of a policy on the population's health. Nevertheless, it is seldom simultaneously quantified, multivariate, and visually graphically comprehensible... more
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