2013
DOI: 10.1590/s0100-40422013000600025
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Least squares regression with errors in both variables: case studies

Abstract: Recebido em 29/8/12; aceito em 3/2/13; publicado na web em 4/6/13Analytical curves are normally obtained from discrete data by least squares regression. The least squares regression of data involving significant error in both x and y values should not be implemented by ordinary least squares (OLS). In this work, the use of orthogonal distance regression (ODR) is discussed as an alternative approach in order to take into account the error in the x variable. Four examples are presented to illustrate deviation be… Show more

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Cited by 16 publications
(3 citation statements)
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References 11 publications
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“…Nesse método, os coeficientes linear (b0) e angular (b1), assim como outros valores relacionados podem ser calculados usando as eq. 2 -6 (Oliveira;Aguiar, 2013).…”
Section: Comparação Entre Metodologiasunclassified
“…Nesse método, os coeficientes linear (b0) e angular (b1), assim como outros valores relacionados podem ser calculados usando as eq. 2 -6 (Oliveira;Aguiar, 2013).…”
Section: Comparação Entre Metodologiasunclassified
“…As search queries and social media statistics are likely measured with errors, ordinary least squares (in short, OLS) results may be biased [26]. We thus report search and social media elasticity estimates based on adjustment from the technique of orthogonal distance regressions (in short, ODR) [19,30]. 11 The Anova significance F tests are all strongly significant, and goodness of fit as measured by the R-square statistic is at least 70 higher order of auto-correlation in residuals for each product.…”
Section: Co-integrationmentioning
confidence: 99%
“…O grafeno pode ser obtido pelo processo de esfoliação mecânica da grafite, entretanto, é um método com baixíssimo rendimento [51] . Outro método relatado na literatura é a deposição química em fase vapor (CVD), que permite o crescimento de monocamadas de grafeno com poucos defeitos, entretanto, apresenta algumas limitações, como elevado custo de produção, com a formação de um material com a área superficial limitada pelo substrato utilizado [52,53] .…”
Section: Métodos De Obtenção E óXido De Grafeno Reduzidounclassified