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Dissertations / Theses on the topic 'Classical Linear Regression Model'

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1

Althubaiti, Alaa Mohammed A. "Dependent Berkson errors in linear and nonlinear models." Thesis, University of Manchester, 2011. https://www.research.manchester.ac.uk/portal/en/theses/dependent-berkson-errors-in-linear-and-nonlinear-models(d56c5e58-bf97-4b47-b8ce-588f970dc45f).html.

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Often predictor variables in regression models are measured with errors. This is known as an errors-in-variables (EIV) problem. The statistical analysis of the data ignoring the EIV is called naive analysis. As a result, the variance of the errors is underestimated. This affects any statistical inference that may subsequently be made about the model parameter estimates or the response prediction. In some cases (e.g. quadratic polynomial models) the parameter estimates and the model prediction is biased. The errors can occur in different ways. These errors are mainly classified into classical (
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2

Torrent, Hudson da Silva. "Estimação não-paramétrica e semi-paramétrica de fronteiras de produção." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2010. http://hdl.handle.net/10183/25786.

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Existe uma grande e crescente literatura sobre especificação e estimação de fronteiras de produção e, portanto, de eficiência de unidades produtivas. Nesta tese, o foco esta sobre modelos de fronteiras determinísticas, os quais são baseados na hipótese de que os dados observados pertencem ao conjunto tecnológico. Dentre os modelos estatísticos e estimadores para fronteiras determinísticas existentes, uma abordagem promissora e a adotada por Martins-Filho e Yao (2007). Esses autores propõem um procedimento de estimação composto por três estágios. Esse estimador e de fácil implementação, visto q
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3

Waterman, Megan Janet Tuttle. "Linear Mixed Model Robust Regression." Diss., Virginia Tech, 2002. http://hdl.handle.net/10919/27708.

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Mixed models are powerful tools for the analysis of clustered data and many extensions of the classical linear mixed model with normally distributed response have been established. As with all parametric models, correctness of the assumed model is critical for the validity of the ensuing inference. Model robust regression techniques predict mean response as a convex combination of a parametric and a nonparametric model fit to the data. It is a semiparametric method by which incompletely or incorrectly specified parametric models can be improved through adding an appropriate amount of a nonpara
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4

Bai, Xue. "Robust linear regression." Kansas State University, 2012. http://hdl.handle.net/2097/14977.

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Master of Science<br>Department of Statistics<br>Weixin Yao<br>In practice, when applying a statistical method it often occurs that some observations deviate from the usual model assumptions. Least-squares (LS) estimators are very sensitive to outliers. Even one single atypical value may have a large effect on the regression parameter estimates. The goal of robust regression is to develop methods that are resistant to the possibility that one or several unknown outliers may occur anywhere in the data. In this paper, we review various robust regression methods including: M-estimate, LMS estimat
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5

Hernandez, Erika Lyn. "Parameter Estimation in Linear-Linear Segmented Regression." Diss., CLICK HERE for online access, 2010. http://contentdm.lib.byu.edu/ETD/image/etd3551.pdf.

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6

Bunea, Florentina. "A model selection approach to partially linear regression /." Thesis, Connect to this title online; UW restricted, 2000. http://hdl.handle.net/1773/8971.

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7

Saleem, Aban, and Jacob Blomgren. "Modelling Pupils’ Grades with Multiple Linear Regression Model." Thesis, KTH, Matematisk statistik, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-275672.

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This thesis was based on the subjects of mathematical statistics and industrial economics and management in order to analyze the grades of pupils in the final year of elementary school. The purpose was to find out what variables had a statistically significant impact on pupils’ final grades so that municipalities and schools could better understand what variables are important when trying to improve the average school results. A multiple regression model was used on data, obtained from the database of Skolverket, in order to examine what variables were statistically important. The final regres
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8

Gustafsson, Alexander, and Sebastian Wogenius. "Modelling Apartment Prices with the Multiple Linear Regression Model." Thesis, KTH, Matematisk statistik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-146735.

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This thesis examines factors that are of most statistical significance for the sales prices of apartments in the Stockholm City Centre. Factors examined are address, area, balcony, construction year, elevator, fireplace, floor number, maisonette, monthly fee, penthouse and number of rooms. On the basis of this examination, a model for predicting prices of apartments is constructed. In order to evaluate how the factors influence the price, this thesis analyses sales statistics and the mathematical method used is the multiple linear regression model. In a minor case-study and literature review,
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9

Zhang, Hongyang. "Linear model selection based on extended robust least angle regression." Thesis, University of British Columbia, 2012. http://hdl.handle.net/2429/43060.

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In variable selection problems, when the number of candidate covariates is relatively large, the "two-step" model building strategy, which consists of two consecutive steps sequencing and segmentation, is often used. Sequencing aims to first sequence all the candidate covariates to form a list of candidate variables in which more "important" ones are likely to appear at the beginning. Then, in the segmentation step, the subsets of the first m (chosen by the user) candidate covariates which are ranked at the top of the sequenced list will be carefully examined in order to select the final predi
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10

Kalktawi, Hadeel Saleh. "Discrete Weibull regression model for count data." Thesis, Brunel University, 2017. http://bura.brunel.ac.uk/handle/2438/14476.

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Data can be collected in the form of counts in many situations. In other words, the number of deaths from an accident, the number of days until a machine stops working or the number of annual visitors to a city may all be considered as interesting variables for study. This study is motivated by two facts; first, the vital role of the continuous Weibull distribution in survival analyses and failure time studies. Hence, the discrete Weibull (DW) is introduced analogously to the continuous Weibull distribution, (see, Nakagawa and Osaki (1975) and Kulasekera (1994)). Second, researchers usually fo
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11

Brodbeck, William Joseph. "The Effect of Readability on Simple Linear Regression." Bowling Green State University / OhioLINK, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1591867761661656.

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12

Lin, Hui-Ling. "Jackknife Empirical Likelihood for the Variance in the Linear Regression Model." Digital Archive @ GSU, 2013. http://digitalarchive.gsu.edu/math_theses/129.

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The variance is the measure of spread from the center. Therefore, how to accurately estimate variance has always been an important topic in recent years. In this paper, we consider a linear regression model which is the most popular model in practice. We use jackknife empirical likelihood method to obtain the interval estimate of variance in the regression model. The proposed jackknife empirical likelihood ratio converges to the standard chi-squared distribution. The simulation study is carried out to compare the jackknife empirical likelihood method and standard method in terms of coverage pr
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13

Baffi, Giuseppe. "Non-linear projection to latent structures." Thesis, University of Newcastle Upon Tyne, 1998. http://hdl.handle.net/10443/893.

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This Thesis focuses on the study of multivariate statistical regression techniques which have been used to produce non-linear empirical models of chemical processes, and on the development of a novel approach to non-linear Projection to Latent Structures regression. Empirical modelling relies on the availability of process data and sound empirical regression techniques which can handle variable collinearities, measurement noise, unknown variable and noise distributions and high data set dimensionality. Projection based techniques, such as Principal Component Analysis (PCA) and Projection to La
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14

Kinns, David Jonathan. "Multiple case influence analysis with particular reference to the linear model." Thesis, University of Birmingham, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.368427.

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15

Ulgen, Burcin Emre. "Estimation In The Simple Linear Regression Model With One-fold Nested Error." Master's thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/3/12606171/index.pdf.

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In this thesis, estimation in simple linear regression model with one-fold nested error is studied. To estimate the fixed effect parameters, generalized least squares and maximum likelihood estimation procedures are reviewed. Moreover, Minimum Norm Quadratic Estimator (MINQE), Almost Unbiased Estimator (AUE) and Restricted Maximum Likelihood Estimator (REML) of variance of primary units are derived. Also, confidence intervals for the fixed effect parameters and the variance components are studied. Finally, the aforesaid estimation techniques and confidence intervals are applied to a real-life
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Zhang, Dongmin. "Open source software maturity model based on linear regression and Bayesian analysis." [College Station, Tex. : Texas A&M University, 2007. http://hdl.handle.net/1969.1/ETD-TAMU-1454.

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17

Shah, Smit. "Comparison of Some Improved Estimators for Linear Regression Model under Different Conditions." FIU Digital Commons, 2015. http://digitalcommons.fiu.edu/etd/1853.

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Multiple linear regression model plays a key role in statistical inference and it has extensive applications in business, environmental, physical and social sciences. Multicollinearity has been a considerable problem in multiple regression analysis. When the regressor variables are multicollinear, it becomes difficult to make precise statistical inferences about the regression coefficients. There are some statistical methods that can be used, which are discussed in this thesis are ridge regression, Liu, two parameter biased and LASSO estimators. Firstly, an analytical comparison on the basis o
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18

Liu, Yantong. "Robust mixture linear EIV regression models by t-distribution." Kansas State University, 2012. http://hdl.handle.net/2097/15157.

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Master of Science<br>Department of Statistics<br>Weixing Song<br>A robust estimation procedure for mixture errors-in-variables linear regression models is proposed in the report by assuming the error terms follow a t-distribution. The estimation procedure is implemented by an EM algorithm based on the fact that the t-distribution is a scale mixture of normal distribution and a Gamma distribution. Finite sample performance of the proposed algorithm is evaluated by some extensive simulation studies. Comparison is also made with the MLE procedure under normality assumption.
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19

Khajuria, Saket. "A Model to Predict Student Matriculation from Admissions Data." Ohio University / OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1167852960.

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20

Mays, James Edward. "Model robust regression: combining parametric, nonparametric, and semiparametric methods." Diss., Virginia Polytechnic Institute and State University, 1995. http://hdl.handle.net/10919/49937.

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In obtaining a regression fit to a set of data, ordinary least squares regression depends directly on the parametric model formulated by the researcher. If this model is incorrect, a least squares analysis may be misleading. Alternatively, nonparametric regression (kernel or local polynomial regression, for example) has no dependence on an underlying parametric model, but instead depends entirely on the distances between regressor coordinates and the prediction point of interest. This procedure avoids the necessity of a reliable model, but in using no information from the researcher, may fit t
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21

Manrique, Tito. "Functional linear regression models : application to high-throughput plant phenotyping functional data." Thesis, Montpellier, 2016. http://www.theses.fr/2016MONTT264/document.

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L'Analyse des Données Fonctionnelles (ADF) est une branche de la statistique qui est de plus en plus utilisée dans de nombreux domaines scientifiques appliqués tels que l'expérimentation biologique, la finance, la physique, etc. Une raison à cela est l'utilisation des nouvelles technologies de collecte de données qui augmentent le nombre d'observations dans un intervalle de temps.Les jeux de données fonctionnelles sont des échantillons de réalisations de fonctions aléatoires qui sont des fonctions mesurables définies sur un espace de probabilité à valeurs dans un espace fonctionnel de dimensio
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22

Tao, Jinxin. "Comparison Between Confidence Intervals of Multiple Linear Regression Model with or without Constraints." Digital WPI, 2017. https://digitalcommons.wpi.edu/etd-theses/404.

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Regression analysis is one of the most applied statistical techniques. The sta- tistical inference of a linear regression model with a monotone constraint had been discussed in early analysis. A natural question arises when it comes to the difference between the cases of with and without the constraint. Although the comparison be- tween confidence intervals of linear regression models with and without restriction for one predictor variable had been considered, this discussion for multiple regres- sion is required. In this thesis, I discuss the comparison of the confidence intervals between a
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23

Laird, Daniel T. "Analysis of Covariance with Linear Regression Error Model on Antenna Control Unit Tracking." International Foundation for Telemetering, 2015. http://hdl.handle.net/10150/596393.

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ITC/USA 2015 Conference Proceedings / The Fifty-First Annual International Telemetering Conference and Technical Exhibition / October 26-29, 2015 / Bally's Hotel & Convention Center, Las Vegas, NV<br>Over the past several years DoD imposed constraints on test deliverables, requiring objective measures of test results, i.e., statistically defensible test and evaluation (SDT&E) methods and results. These constraints force the tester to employ statistical hypotheses, analyses and perhaps modeling to assess test results objectively, i.e., based on statistical metrics, probability of confidence and
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24

Wesso, Gilbert R. "The econometrics of structural change: statistical analysis and forecasting in the context of the South African economy." University of the Western Cape, 1994. http://hdl.handle.net/11394/7907.

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Philosophiae Doctor - PhD<br>One of the assumptions of conventional regression analysis is I that the parameters are constant over all observations. It has often been suggested that this may not be a valid assumption to make, particularly if the econometric model is to be used for economic forecasting0 Apart from this it is also found that econometric models, in particular, are used to investigate the underlying interrelationships of the system under consideration in order to understand and to explain relevant phenomena in structural analysis. The pre-requisite of such use of econometrics is
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25

Izadi, Hooshang. "Censored regression and the Pearson system of distributions : an estimation method and application to demand analysis." Thesis, University of Essex, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.252929.

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26

Lundström, Ina. "Gymnasiebehörighet och sociala faktorer med linjär regression / The Influence of Social Factors on School Performance using the Linear Regression Model." Thesis, KTH, Matematisk statistik, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-105757.

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I det här arbetet har linjär regression använts för att undersöka om olika sociala faktorer påverkar om elever får gymnasiebehörighet. Unders ökningen gjordes med kommunvis aggregerad data och faktorerna som undersöktes var utländsk bakgrund, försörjningsstöd, utbildningsnivå, arbetsl öshet, disponibel inkomst, lärartäthet, andel lärare med pedagogisk examen och skolornas kostnad. Statistiskt signikanta resultat erhölls för utländsk bakgrund, försörjningsst öd, utbildningsnivå, disponibel inkomst och lärartäthet. Enligt undersökningen påverkar utländsk bakgrund och försörjningsstöd gymnasiebeh
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27

Alt, Raimund. "Multiple hypotheses testing in the linear regression model with applications to economics and finance /." Göttingen : Cuvillier, 2005. http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=013081924&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA.

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28

Azam, Mohammad Nurul 1957. "Modelling and forecasting in the presence of structural change in the linear regression model." Monash University, Dept. of Econometrics and Business Statistics, 2001. http://arrow.monash.edu.au/hdl/1959.1/9152.

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Yeasmin, Mahbuba 1965. "Multiple maxima of likelihood functions and their implications for inference in the general linear regression model." Monash University, Dept. of Econometrics and Business Statistics, 2003. http://arrow.monash.edu.au/hdl/1959.1/5821.

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Bhattacharjee, Sushanta Kumar. "Influence of variables in Bayesian prediction." Thesis, University of Sheffield, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.360463.

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31

Roualdes, Edward A. "New Results in ell_1 Penalized Regression." UKnowledge, 2015. http://uknowledge.uky.edu/statistics_etds/13.

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Here we consider penalized regression methods, and extend on the results surrounding the l1 norm penalty. We address a more recent development that generalizes previous methods by penalizing a linear transformation of the coefficients of interest instead of penalizing just the coefficients themselves. We introduce an approximate algorithm to fit this generalization and a fully Bayesian hierarchical model that is a direct analogue of the frequentist version. A number of benefits are derived from the Bayesian persepective; most notably choice of the tuning parameter and natural means to estimate
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32

Meng, Li. "Robust estimation of the number of components for mixtures of linear regression." Kansas State University, 2014. http://hdl.handle.net/2097/17856.

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Master of Science<br>Department of Statistics<br>Weixin Yao<br>In this report, we investigate a robust estimation of the number of components in the mixture of regression models using trimmed information criterion. Compared to the traditional information criterion, the trimmed criterion is robust and not sensitive to outliers. The superiority of the trimmed methods in comparison with the traditional information criterion methods is illustrated through a simulation study. A real data application is also used to illustrate the effectiveness of the trimmed model selection methods.
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Chen, Cuixian. "Asymptotic properties of the Buckley-James estimator for a bivariate interval censorship regression model." Diss., Online access via UMI:, 2007.

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34

Spaulding, Aleigha, Jessica R. Barbee, Nathan L. Hale, et al. "Analysis of Birth Rate and Predictors Using Linear Regression Model and Propensity Score Matching Method." Digital Commons @ East Tennessee State University, 2019. https://dc.etsu.edu/asrf/2019/schedule/35.

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Evaluating the effectiveness of an intervention can pose challenges if there is not an adequate control group. The effects of the intervention can be distorted by observable differences in the characteristics of the control and treatment groups. Propensity score matching can be used to confirm the outcomes of an intervention are due to the treatment and not other characteristics that may also explain the intervention effects. Propensity score matching is an advanced statistical technique that uses background information on the characteristics of the study population to establish matched pairs
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Fridgeirsdottir, Gudrun A. "The development of a multiple linear regression model for aiding formulation development of solid dispersions." Thesis, University of Nottingham, 2018. http://eprints.nottingham.ac.uk/52176/.

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As poor solubility continues to be problem for new chemical entities (NCEs) in medicines development the use and interest in solid dispersions as a formulation-based solution has grown. Solid dispersions, where a drug is typically dispersed in a molecular state within an amorphous water-soluble polymer, present a good strategy to significantly enhance the effective drug solubility and hence bioavailability of drugs. The main drawback of this formulation strategy is the inherent instability of the amorphous form. With the right choice of polymer and manufacturing method, sufficient stability ca
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Löwe, Rakel, and Ida Schneider. "Automatic Differential Diagnosis Model of Patients with Parkinsonian Syndrome : A model using multiple linear regression and classification tree learning." Thesis, Uppsala universitet, Tillämpad kärnfysik, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-413638.

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Parkinsonian syndrome is an umbrella term including several diseases with similar symptoms. PET images are key when differential diagnosing patients with parkinsonsian syndrome. In this work two automatic diagnosing models are developed and evaluated, with PET images as input, and a diagnosis as output. The two devoloped models are evaluated based on performance, in terms of sensitivity, specificity and misclassification error. The models consists of 1) regression model and 2) either a decision tree or a random forest. Two coefficients, alpha and beta, are introduced to train and test the mode
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Sladká, Vladimíra. "Statistická klasifikace pomocí zobecněných lineárních modelů." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2010. http://www.nusl.cz/ntk/nusl-229023.

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The goal of this thesis is introduce the theory of generalized linear models, namely probit and logit model. This models are especially used for medical data processing. In our concrete case these mentioned models are applied to data file obtained in teaching hospital Brno. The aim is statically analyzed immune response of child patients in dependence of twelve selected types of genes and find out which combinations of these genes influence septic state of patients.
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Metzger, Thomas Anthony. "Detection of Latent Heteroscedasticity and Group-Based Regression Effects in Linear Models via Bayesian Model Selection." Diss., Virginia Tech, 2019. http://hdl.handle.net/10919/93226.

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Standard linear modeling approaches make potentially simplistic assumptions regarding the structure of categorical effects that may obfuscate more complex relationships governing data. For example, recent work focused on the two-way unreplicated layout has shown that hidden groupings among the levels of one categorical predictor frequently interact with the ungrouped factor. We extend the notion of a "latent grouping factor'' to linear models in general. The proposed work allows researchers to determine whether an apparent grouping of the levels of a categorical predictor reveals a plausible h
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Théry, Clément. "Model-based covariable decorrelation in linear regression (CorReg) : application to missing data and to steel industry." Thesis, Lille 1, 2015. http://www.theses.fr/2015LIL10060/document.

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Les travaux effectués durant cette thèse ont pour but de pallier le problème des corrélations au sein des bases de données, particulièrement fréquentes dans le cadre industriel. Une modélisation explicite des corrélations par un système de sous-régressions entre covariables permet de pointer les sources des corrélations et d'isoler certaines variables redondantes. Il en découle une pré-sélection de variables sans perte significative d'information et avec un fort potentiel explicatif (la structure de sous-régression est explicite et simple). Un algorithme MCMC (Monte-Carlo Markov Chain) de rech
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Liu, Li. "Grouped variable selection in high dimensional partially linear additive Cox model." Diss., University of Iowa, 2010. https://ir.uiowa.edu/etd/847.

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In the analysis of survival outcome supplemented with both clinical information and high-dimensional gene expression data, traditional Cox proportional hazard model fails to meet some emerging needs in biological research. First, the number of covariates is generally much larger the sample size. Secondly, predicting an outcome with individual gene expressions is inadequate because a gene's expression is regulated by multiple biological processes and functional units. There is a need to understand the impact of changes at a higher level such as molecular function, cellular component, biological
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McGhee, Jay D. "Non-Linear Density Dependence in a Stochastic Wild Turkey Harvest Model." Diss., Virginia Tech, 2006. http://hdl.handle.net/10919/26164.

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Current eastern wild turkey (<I>Meleagris gallopavo silvestris</I>) harvest models assume density-independent population dynamics despite indications that populations are subject to a form of density dependence. I suggest that both density-dependent and independent factors operate simultaneously on wild turkey populations, where the relative strength of each is governed by population density. I attempt to estimate the form of the density dependence relationship in wild turkey population growth using the theta-Ricker model. Density-independent relationships are explored between production a
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Ondroušek, Jakub. "Ekonometrický model cen bytů v Brně." Master's thesis, Vysoké učení technické v Brně. Fakulta podnikatelská, 2019. http://www.nusl.cz/ntk/nusl-399645.

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The goal of the thesis „Econometric model of flat prices in Brno“ is to create econometric model based on data from housing market. The theoretical part of the thesis defines variables, and use descriptive statistics. The practical part of the thesis deals with creation econometric model and interactive calculator.
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Mahajan, Aprajit. "Three essays on non-classical measurement error in non-linear models /." 2004. http://www.gbv.de/dms/zbw/546703631.pdf.

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Burombo, Emmanuel Chamunorwa. "Statistical modelling of return on capital employed of individual units." Diss., 2014. http://hdl.handle.net/10500/19627.

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Return on Capital Employed (ROCE) is a popular financial instrument and communication tool for the appraisal of companies. Often, companies management and other practitioners use untested rules and behavioural approach when investigating the key determinants of ROCE, instead of the scientific statistical paradigm. The aim of this dissertation was to identify and quantify key determinants of ROCE of individual companies listed on the Johannesburg Stock Exchange (JSE), by comparing classical multiple linear regression, principal components regression, generalized least squares regression, and ro
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Mudzamiri, Kizito. "Determination of net interest margin drivers for selected financial institutions in South Africa : a comparison with other capital markets." Thesis, 2013. http://hdl.handle.net/10210/8331.

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M.Comm. (Financial Management)<br>There is a wide perception that bank net interest margins (NIMs) in Sub-Saharan Africa in general and South Africa in particular, are higher compared to other regions. The study investigates four commercial banks in South Africa with the aim of identifying the relevant factors affecting the behaviour of NIMs in commercial banking in South Africa, and draws comparisons with other markets. The study employs the Classical Linear Regression Model (CLRM) using the Ordinary Least Squares (OLS) data estimating technique to analyse net interest margins over the period
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CHIEN, CHIA-HUI, and 簡嘉惠. "Power Comparison of Hierarchical Linear Model and Ordinary Linear Regression." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/61840180668482846976.

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碩士<br>國立臺北大學<br>統計學系<br>98<br>Hierarchical data contains lower level data and higher level grouping factors, which lower level data have some degree of nonindependence due to group. Hierarchical Linear Model(HLM) is a statistical method that extends traditional regression model for multilevel data. In this paper, the comparision of HLM, and Ordinary Linear Regression(OLS) model on hierarchical data is discussed. This research conducts a simulation to contrast the probability of typeⅠerror and the power that test the fixed effect of lower level variable on HLM and OLS. The factors in the simula
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Liu, Chih-Hsiang, and 劉志祥. "Estimation Using Regression Calibration in Linear Model." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/08698555387648583884.

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碩士<br>淡江大學<br>數學學系<br>91<br>The estimations of regression parameters in linear model with measurement errors are considered. When some true covariate are availiable, the Regression Calibration (R.C.) is a convenient method to deal with the true but missing covariates. The conventional R.C. use only the surrogate to calibrate the true covariate, while Huang (2003) use response variable and surrogate together to calibrate the missing covariate. Huang (2003) has shown the R.C. with response variables is better than the conventional R.C. under the assumption of small errors. However, the derivati
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Zhao, Han-Tang, and 趙漢堂. "Trimmed scale estimation for linear regression model." Thesis, 1995. http://ndltd.ncl.edu.tw/handle/36483972251514719134.

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NIAN, YOU-REN, and 粘佑任. "Linear regression model with skew normal distribution." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/442cuc.

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碩士<br>國立臺北大學<br>統計學系<br>105<br>It is always the question that the data is independent. When the error terms is not independently following the normal distribution, the traditional linear regression model is not the appropriate model in the data. Considering the situation of data is dependent or data is no loner following the normal distribution, we try to use the skew normal distribution to replace the normal distribution as the assumption of the error. Therefore, we calculate the method of moment estimator, least squares estimator and maximum likelihood estimator. Besides, we try using the ab
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Chuang, Hung-Chang, and 莊弘昌. "Mallows Type Bounded Influence Regression Quantile for Linear Regression Model and Simultaneous Equations Model." Thesis, 1997. http://ndltd.ncl.edu.tw/handle/82744581685532404320.

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碩士<br>國立交通大學<br>統計學系<br>85<br>We present asymptotic distributions of the Mallows type bounded-influencereg ression quantile for the linear regression model and also the simultaneousequa tions model. Monte Carlo simulation comparing mean squared errors showsthat th e bounded-influence one is more efficient than the unbounded- influence one(Koe nker and Bassett(1978))when gross errors occur in the independent-variables-s pace.
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