Edel Garcia - Academia.edu (original) (raw)

Papers by Edel Garcia

This tutorial presents a new mnemonic describing the filling order of atomic orbitals according t... more This tutorial presents a new mnemonic describing the filling order of atomic orbitals according to the Rydberg Rule. The mnemonic accounts for the reordering of atomic orbitals and the large orbital energy gaps responsible for the periodicity of elements.

ArXiv, 2016

In this article we show how power transformations can be used as a common framework for the deriv... more In this article we show how power transformations can be used as a common framework for the derivation of local term weights. We found that under some parametric conditions, BM25 and inverse regression produce equivalent results. As a special case of inverse regression, we show that the largest increment in term weight occurs when a term is mentioned for the second time. A model based on inverse regression (BM25IR) is presented. Simulations suggest that BM25IR works fairly well for different BM25 parametric conditions and document lengths.

This is a tutorial on the cosine similarity measure. Its meaning in the context of uncorrelated a... more This is a tutorial on the cosine similarity measure. Its meaning in the context of uncorrelated and orthogonal variables is examined.

This is Part 3 of a tutorial series on the nonadditivity of correlation coefficients. The bias na... more This is Part 3 of a tutorial series on the nonadditivity of correlation coefficients. The bias nature of correlation coefficients, their transformations, and assumptions of normality are discussed. The risks of blindly transforming scores to ranks or arbitrarily converting r-to-Z values/Z-to-r values (Fisher Transformations) are discussed. Shifted up cosine approximations to normality are also covered. Did you know that score-to-rank transformations can change the sampling distribution of a statistic like a correlation coefficient, and that Fisher transformations are sensitive to normality violations? Combining both types of transformations is a recipe to a statistical disaster.

This is a tutorial on polynomial regression. Three different methods for fitting paired data to a... more This is a tutorial on polynomial regression. Three different methods for fitting paired data to a polynomial are presented. The first two methods are based on linear algebra while the last one is a graphic solution. These methods can be easily implemented with Excel, by writing a computer program, or with a programmable calculator.

A mnemonic for easily recalling the unicode entities of vowels with grave accents, acute accents,... more A mnemonic for easily recalling the unicode entities of vowels with grave accents, acute accents, and circumflexes is described.

This is a tutorial on quantile-quantile plots, a technique for determining if different data sets... more This is a tutorial on quantile-quantile plots, a technique for determining if different data sets originate from populations with a common distribution. The technique can be used to determine if a data set is normally distributed, and to optimize the transformation parameter of variance-stabilizing Box-Cox transformation models. An Excel link to a reproducible example is provided.

This fast track tutorial provides instructions for scoring queries and documents and for ranking ... more This fast track tutorial provides instructions for scoring queries and documents and for ranking results using a Singular Value Decomposition (SVD) calculator and the Term Count Model. The tutorial should be used as a quick reference for our SVD and LSI Tutorial series described ...

Communications in Statistics - Theory and Methods, 2012

In this brief article, we present the Self-Weighting Model (SWM), a new weighting model for stati... more In this brief article, we present the Self-Weighting Model (SWM), a new weighting model for statistical analysis. SWM allows within/between-set comparisons, producing estimates with a discriminatory power not found through current weighting strategies. The model is applicable to a wide range of statistical problems for which conditional weighted means are required.

Drafts by Edel Garcia

A mnemonic and heuristic for estimating spin-only magnetic moments of free atoms and ions, and ba... more A mnemonic and heuristic for estimating spin-only magnetic moments of free atoms and ions, and based on a continued fractions algorithm, are presented. Chemistry teachers and students might find these useful as problem-solving strategies for lectures and test sessions where calculators might not be permitted or available.

ArXiv, 2016

Communications in Statistics - Theory and Methods, 2012