MÍNIMOS CUADRADOS PONDERADOS APLICADOS AL ESTUDIO DE LA PRESIÓN SANGUÍNEA DIASTÓLICA SEGÚN LA EDAD EN MUJERES

ISADORE NABI

SUPUESTOS DEL MODELO CLÁSICO DE REGRESIÓN LINEAL Y DE LOS MODELOS LINEALES GENERALIZADOS

isadore nabi

REFERENCIAS

Banerjee, A. (29 de Octubre de 2019). Intuition behind model fitting: Overfitting v/s Underfitting. Obtenido de Towards Data Science: https://towardsdatascience.com/intuition-behind-model-fitting-overfitting-v-s-underfitting-d308c21655c7

Bhuptani, R. (13 de Julio de 2020). Quora. Obtenido de What is the difference between linear regression and least squares?: https://www.quora.com/What-is-the-difference-between-linear-regression-and-least-squares

Cross Validated. (23 de Marzo de 2018). Will log transformation always mitigate heteroskedasticity? Obtenido de StackExchange: https://stats.stackexchange.com/questions/336315/will-log-transformation-always-mitigate-heteroskedasticity

Greene, W. (2012). Econometric Analysis (Séptima ed.). Harlow, Essex, England: Pearson Education Limited.

Guanga, A. (11 de Octubre de 2018). Machine Learning: Bias VS. Variance. Obtenido de Becoming Human: Artificial Intelligence Magazine: https://becominghuman.ai/machine-learning-bias-vs-variance-641f924e6c57

Gujarati, D., & Porter, D. (8 de Julio de 2010). Econometría (Quinta ed.). México, D.F.: McGrawHill Educación. Obtenido de Homocedasticidad.

McCullagh, P., & Nelder, J. A. (1989). Generalized Linear Models (Segunda ed.). London: Chapman and Hall.

MIT Computer Science & Artificial Intelligence Lab. (6 de Mayo de 2021). Solving over- and under-determined sets of equations. Obtenido de Articles: http://people.csail.mit.edu/bkph/articles/Pseudo_Inverse.pdf

Nabi, I. (27 de Agosto de 2021). MODELOS LINEALES GENERALIZADOS. Obtenido de El Blog de Isadore Nabi: https://marxianstatistics.files.wordpress.com/2021/08/modelos-lineales-generalizados-isadore-nabi.pdf

Penn State University, Eberly College of Science. (2018). 10.4 – Multicollinearity. Obtenido de Lesson 10: Regression Pitfalls: https://online.stat.psu.edu/stat462/node/177/

Penn State University, Eberly College of Science. (24 de Mayo de 2021). Introduction to Generalized Linear Models. Obtenido de Analysis of Discrete Data: https://online.stat.psu.edu/stat504/lesson/6/6.1

Perezgonzalez, J. D. (3 de Marzo de 2015). Fisher, Neyman-Pearson or NHST? A tutorial for teaching data testing. frontiers in PSYCHOLOGY, VI(223), 1-11.

ResearchGate. (10 de Noviembre de 2014). How it can be possible to fit the four-parameter Fedlund model by only 3 PSD points? Obtenido de https://www.researchgate.net/post/How_it_can_be_possible_to_fit_the_four-parameter_Fedlund_model_by_only_3_PSD_points

ResearchGate. (28 de Septiembre de 2019). s there a rule for how many parameters I can fit to a model, depending on the number of data points I use for the fitting? Obtenido de https://www.researchgate.net/post/Is-there-a-rule-for-how-many-parameters-I-can-fit-to-a-model-depending-on-the-number-of-data-points-I-use-for-the-fitting

Salmerón Gómez, R., Blanco Izquierdo, V., & García García, C. (2016). Micronumerosidad aproximada y regresión lineal múltiple. Anales de ASEPUMA(24), 1-17. Obtenido de https://dialnet.unirioja.es/descarga/articulo/6004585.pdf

Simon Fraser University. (30 de Septiembre de 2011). THE CLASSICAL MODEL. Obtenido de http://www.sfu.ca/~dsignori/buec333/lecture%2010.pdf

StackExchange Cross Validated. (2 de Febrero de 2017). “Least Squares” and “Linear Regression”, are they synonyms? Obtenido de What is the difference between least squares and linear regression? Is it the same thing?: https://stats.stackexchange.com/questions/259525/least-squares-and-linear-regression-are-they-synonyms

Wikipedia. (18 de Marzo de 2021). Overdetermined system. Obtenido de Partial Differential Equations: https://en.wikipedia.org/wiki/Overdetermined_system

Zhao, J. (9 de Noviembre de 2017). More features than data points in linear regression? Obtenido de Medium: https://medium.com/@jennifer.zzz/more-features-than-data-points-in-linear-regression-5bcabba6883e

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ENCUESTA NACIONAL SOBRE LOS ASPECTOS DE LA VIRTUALIDAD VINCULADOS CON LA PANDEMIA DEL COVID-19 (ENAVIRPA 2021)

ISADORE NABI

VII. REFERENCIAS

Aldrich, J. H., & Nelson, F. D. (1984). Linear Probability, Logit, and Probit Models. Beverly Hills: Sage University Papers Series. Quantitative Applications in the Social Sciences.

Allen, M. (2017). The SAGE Encyclopedia of COMMUNICATION RESEARCH METHODS. London: SAGE Publications, Inc.

AMERICAN PSYCHOLOGICAL ASSOCIATION. (2021, Julio 15). level. Retrieved from APA Dictionary of Pyschology: https://dictionary.apa.org/level

AMERICAN PYSCHOLOGICAL ASSOCIATION. (2021, Julio 15). factor. Retrieved from APA Dictionary of Pyschology: https://dictionary.apa.org/factor

AMERICAN PYSCHOLOGY ASSOCIATION. (2021, Julio 15). logistic regression (LR). Retrieved from APA Dictionary of Pyschology: https://dictionary.apa.org/logistic-regression

Barrios, J. (2019, Julio 19). La matriz de confusión y sus métricas . Retrieved from Health BIG DATA: https://www.juanbarrios.com/la-matriz-de-confusion-y-sus-metricas/

Bhuptani, R. (2020, Julio 13). Quora. Retrieved from What is the difference between linear regression and least squares?: https://www.quora.com/What-is-the-difference-between-linear-regression-and-least-squares

Birnbaum, Z. W., & Sirken, M. G. (1950, Marzo). Bias Due to Non-Availability in Sampling Surveys. Journal of the American Statistical Association, 45(249), 98-111.

Burrus, C. S. (2021, Julio 7). Iterative Reweighted Least Squares. Retrieved from https://cnx.org/exports/92b90377-2b34-49e4-b26f-7fe572db78a1@12.pdf/iterative-reweighted-least-squares-12.pdf

Centro Centroamericano de Población. (2021, Abril 28). Variables y escalas de medición. Retrieved from Universidad de Costa Rica: https://ccp.ucr.ac.cr/cursos/epidistancia/contenido/2_escmed.html

Cochran, W. G. (1991). Técnicas de Muestreo. México, D.F.: Compañía Editorial Continental.

Departamento Administrativo Nacional de Estadística. (2003). Metodología de Diseño Muestral. Bogotá: Dirección Sistema Nacional de Información Estadística. Retrieved from https://www.dane.gov.co/files/EDI/anexos_generales/Metodologia_diseno_muestral_anexo1.pdf?phpMyAdmin=a9ticq8rv198vhk5e8cck52r11

Díaz-Narváez, V. P. (2017). Regresión logística y decisiones clínicas. Nutrición Hospitalaria, 34(6), 1505-1505. Retrieved from https://scielo.isciii.es/pdf/nh/v34n6/36_diaz.pdf

Google Developers. (2021, Julio 19). Clasificación: Exactitud. Retrieved from https://developers.google.com/machine-learning/crash-course/classification/accuracy

Greene, W. (2012). Econometric Analysis (Séptima ed.). Harlow, Essex, England: Pearson Education Limited.

Gujarati, D., & Porter, D. (2010, Julio 8). Econometría (Quinta ed.). México, D.F.: McGrawHill Educación. Retrieved from Homocedasticidad.

Haskett, D. R. (2014, Octubre 10). “Mitochondrial DNA and Human Evolution” (1987), by “Mitochondrial DNA and Human Evolution” (1987), by Rebecca Louise Cann, Mark Stoneking, and Allan Charles Wilson. Retrieved from The Embryo Project Encyclopedia: https://embryo.asu.edu/pages/mitochondrial-dna-and-human-evolution-1987-rebecca-louise-cann-mark-stoneking-and-allan

Hastie, T., Tibshirani, R., & Friedman, J. (2017). The Elements of Statistical Learning. Data Mining, Inference, and Prediction (Segunda ed.). New York: Springer.

Instituto dei Sistemi Complessi. (2021, Febrero 27). Topolical vs Metric Distance. Retrieved from Biological Systems: https://www.isc.cnr.it/research/topics/physical-biology/biological-systems/topological-vs-metric-distance/

Instituto Nacional de Estadística y Censos de Costa Rica. (2016, Julio). Manual de Clasificación Geográfica con Fines Estadísticos de Costa Rica. Retrieved from Biblioteca Virtual: https://www.inec.cr/sites/default/files/documetos-biblioteca-virtual/meinstitucionalmcgfecr.pdf

Instituto Nacional de Estadística y Censos de Costa Rica. (2019). ENIGH. 2018. Cuadros sobre ingresos de los hogares. San José: INEC. Retrieved from https://www.inec.cr/sites/default/files/documetos-biblioteca-virtual/reenigh2018-ingreso.xlsx

Instituto Nacional de Estadística y Censos de Costa Rica. (2021, 7 14). Factor de Expansión. Retrieved from INEC: https://www.inec.cr/sites/default/files/_book/F.html

Instituto Nacional de Estadística y Censos de la República Argentina. (2019). Encuesta de Actividades de Niños, Niñas y Adolescentes 2016-2017. Factores de expansión, estimación y cálculo de los errores por muestra para el dominio rural. Buenos Aires: Ministerio de Hacienda. Retrieved from https://www.indec.gob.ar/ftp/cuadros/menusuperior/eanna/anexo_bases_eanna_rural.pdf

James, G., Witten, D., Hastie, T., & Tibshirani, R. (2013). An Introduction to Statistical Learning with Applications in R. New York: Springer.

Jose, K. (2020, Junio 27). Graph Theory | Isomorphic Trees. Retrieved from Towards Data Science: https://towardsdatascience.com/graph-theory-isomorphic-trees-7d48aa577e46

Köhler, T. (2016). Income and Wealth Poverty in Germany. SOEP papers on Multidisciplinary Panel Data Research, 1-48. Retrieved from https://www.diw.de/documents/publikationen/73/diw_01.c.540534.de/diw_sp0857.pdf

Kolmogórov, A. N., & Fomin, S. V. (1978). Elementos de la Teoría de Funciones y del Análisis Funcional (Tercera ed.). (q. e.-m. Traducido del ruso por Carlos Vega, Trans.) Moscú: MIR.

Liao, T. F. (1994). INTERPRETING PROBABILITY MODELS. Logit, Probit, and Other Generalized Linear Models. Iowa: Sage University Papers Series. Quantitative Applications in the Social Sciences.

Lipschutz, S. (1992). Álgebra Lineal. Madrid: McGraw-Hill.

Lohr, S. L. (2019). Sampling: Design and Analysis (Segunda ed.). Boca Raton: CRC Press.

Lohr, S. L. (2019). Sampling: Design and Analysis (Segunda ed.). Boca Raton: CRC Press.

McCullagah, P., & Nelder, J. A. (1989). Generalized Linear Models (Segunda ed.). London: Chapman and Hall.

McCullagh, P., & Nelder, J. A. (1989). Generalized Linear Models (Segunda ed.). London: Chapman and Hall.

Nelder, J. A., & Wedderburn, R. W. (1972). Generalized Linear Models. Journal of the Royal Statistical Society, 135(3), 370-384.

Online Stat Book. (2021, Julio 15). Levels of an Independent Variable. Retrieved from Independent and dependent variables: https://onlinestatbook.com/2/introduction/variables.html

Patil, G. P., & Shorrock, R. (1965). On Certain Properties of the Exponential-type Families. Journal of the Royal Statistical, 27(1), 94-99.

Perry, J. (2014, Abril 2). NORM TO/FROM METRIC. Retrieved from The University of Southern Mississippi: https://www.math.usm.edu/perry/old_classes/mat681sp14/norm_and_metric.pdf

Ritchey, F. (2002). ESTADÍSTICA PARA LAS CIENCIAS SOCIALES. El potencial de la imaginación estadística. México, D.F.: McGRAW-HILL/INTERAMERICANA EDITORES, S.A. DE C.V.

Samuels, S. (2014, 11 19). Can I get to an approximation of the population with knowledge of the expansion factor? Retrieved from Cross Validated. StackExchange: https://stats.stackexchange.com/questions/124750/can-i-get-to-an-approximation-of-the-population-with-knowledge-of-the-expansion

StackExchange Cross Validated. (2017, Febrero 2). “Least Squares” and “Linear Regression”, are they synonyms? Retrieved from What is the difference between least squares and linear regression? Is it the same thing?: https://stats.stackexchange.com/questions/259525/least-squares-and-linear-regression-are-they-synonyms

StackExchange Data Science. (2016, Junio 19). Is GLM a statistical or machine learning model? Retrieved from https://datascience.stackexchange.com/questions/488/is-glm-a-statistical-or-machine-learning-model

StackOverFlow. (2014, Marzo 15). Supervised Learning, Unsupervised Learning, Regression. Retrieved from https://stackoverflow.com/questions/22419136/supervised-learning-unsupervised-learning-regression

TalkStats. (2011, Noviembre 29). SPSS. Retrieved from Forums: http://www.talkstats.com/threads/what-is-the-difference-between-a-factor-and-a-covariate-for-multinomial-logistic-reg.21864/

UNITED NATIONS ECONOMIC COMMISSION FOR EUROPE. (2017). Guide on Poverty Measure. New York and Geneva: UNITED NATIONS. Retrieved from https://ec.europa.eu/eurostat/ramon/statmanuals/files/UNECE_Guide_on_Poverty_Measurement.pdf

van den Berg, R. G. (2021, Julio 15). Measurement Levels – What and Why? Retrieved from SPSS Tutorials: https://www.spss-tutorials.com/measurement-levels/

Weisstein, E. W. (2021, Julio 15). Sigmoid Function. Retrieved from MathWorld – A Wolfram Web Resource: https://mathworld.wolfram.com/SigmoidFunction.html

Weisstein, E. W. (2021, Mayo 21). Sigmoid Function. Retrieved from MathWorld – A Wolfram Web Resource: https://mathworld.wolfram.com/SigmoidFunction.html

Weisstein, E. W. (2021, Mayo 18). Smooth Function. Retrieved from Wolfram MathWorld – A Wolfram Web Resource: https://mathworld.wolfram.com/SmoothFunction.html

Wikimedia. (2021, Abril 6). Commons. Retrieved from Wikipedia: https://upload.wikimedia.org/wikipedia/commons/b/bf/Undirected.svg

Wikipedia. (2021, Julio 6). Graph isomorphism. Retrieved from Morphism: https://en.wikipedia.org/wiki/Graph_isomorphism

Wikipedia. (2021, Mayo 21). Iterative proportional fitting. Retrieved from Statistical algorithms: https://en.wikipedia.org/wiki/Iterative_proportional_fitting

Wikipedia. (2021, Febrero 25). Iteratively reweighted least squares. Retrieved from Least squares: https://en.wikipedia.org/wiki/Iteratively_reweighted_least_squares

Wikipedia. (2021, Julio 13). Logistic function. Retrieved from Growth curves: https://en.wikipedia.org/wiki/Logistic_function

Wikipedia. (2021, Mayo 22). Logistic regression. Retrieved from Regression models: https://en.wikipedia.org/wiki/Logistic_regression

Wikipedia. (2021, Junio 14). Logit. Retrieved from Special functions: https://en.wikipedia.org/wiki/Logistic_function

Wikipedia. (2021, Julio 8). Lp space. Retrieved from Measure theory: https://www.wikiwand.com/en/Lp_space

Wikipedia. (2021, Abril 15). Odds. Retrieved from Wagering: https://en.wikipedia.org/wiki/Odds

Wikipedia. (2021, Julio 10). Precision and recall. Retrieved from Bioinformatics: https://en.wikipedia.org/wiki/Precision_and_recall

Wooldridge, J. (2010). Econometric Analysis of Cross Section and Panel Data (Segunda ed.). Cambridge, Massachusetts: MIT Press.

MODELOS LINEALES GENERALIZADOS

isadore nabi

RESUMEN DEL FUNCIONAMIENTO DEL ALGORITMO IRLS

Fuente: https://www.semanticscholar.org/paper/Iterative-and-recursive-least-squares-estimation-Hu/1d19140f9aed669127df0302cdf16a8f3ec04c26

IV. Referencias

Allen, M. (2017). The SAGE Encyclopedia of COMMUNICATION RESEARCH METHODS. London: SAGE Publications, Inc.

AMERICAN PSYCHOLOGICAL ASSOCIATION. (15 de Julio de 2021). level. Obtenido de APA Dictionary of Pyschology: https://dictionary.apa.org/level

AMERICAN PYSCHOLOGICAL ASSOCIATION. (15 de Julio de 2021). factor. Obtenido de APA Dictionary of Pyschology: https://dictionary.apa.org/factor

AMERICAN PYSCHOLOGY ASSOCIATION. (15 de Julio de 2021). logistic regression (LR). Obtenido de APA Dictionary of Pyschology: https://dictionary.apa.org/logistic-regression

Bhuptani, R. (13 de Julio de 2020). Quora. Obtenido de What is the difference between linear regression and least squares?: https://www.quora.com/What-is-the-difference-between-linear-regression-and-least-squares

Burrus, C. S. (7 de Julio de 2021). Iterative Reweighted Least Squares. Obtenido de https://cnx.org/exports/92b90377-2b34-49e4-b26f-7fe572db78a1@12.pdf/iterative-reweighted-least-squares-12.pdf

Centro Centroamericano de Población. (28 de Abril de 2021). Variables y escalas de medición. Obtenido de Universidad de Costa Rica: https://ccp.ucr.ac.cr/cursos/epidistancia/contenido/2_escmed.html

Greene, W. (2012). Econometric Analysis (Séptima ed.). Harlow, Essex, England: Pearson Education Limited.

Gujarati, D., & Porter, D. (8 de Julio de 2010). Econometría (Quinta ed.). México, D.F.: McGrawHill Educación. Obtenido de Homocedasticidad.

Haskett, D. R. (10 de Octubre de 2014). “Mitochondrial DNA and Human Evolution” (1987), by “Mitochondrial DNA and Human Evolution” (1987), by Rebecca Louise Cann, Mark Stoneking, and Allan Charles Wilson. Obtenido de The Embryo Project Encyclopedia: https://embryo.asu.edu/pages/mitochondrial-dna-and-human-evolution-1987-rebecca-louise-cann-mark-stoneking-and-allan

Kolmogórov, A. N., & Fomin, S. V. (1978). Elementos de la Teoría de Funciones y del Análisis Funcional (Tercera ed.). (q. e.-m. Traducido del ruso por Carlos Vega, Trad.) Moscú: MIR.

Lipschutz, S. (1992). Álgebra Lineal. Madrid: McGraw-Hill.

McCullagh, P., & Nelder, J. A. (1989). Generalized Linear Models (Segunda ed.). London: Chapman and Hall.

Nelder, J. A., & Wedderburn, R. W. (1972). Generalized Linear Models. Journal of the Royal Statistical Society, 135(3), 370-384.

Online Stat Book. (15 de Julio de 2021). Levels of an Independent Variable. Obtenido de Independent and dependent variables: https://onlinestatbook.com/2/introduction/variables.html

Patil, G. P., & Shorrock, R. (1965). On Certain Properties of the Exponential-type Families. Journal of the Royal Statistical, 27(1), 94-99.

Perry, J. (2 de Abril de 2014). NORM TO/FROM METRIC. Obtenido de The University of Southern Mississippi: https://www.math.usm.edu/perry/old_classes/mat681sp14/norm_and_metric.pdf

Ritchey, F. (2002). ESTADÍSTICA PARA LAS CIENCIAS SOCIALES. El potencial de la imaginación estadística. México, D.F.: McGRAW-HILL/INTERAMERICANA EDITORES, S.A. DE C.V.

StackExchange Cross Validated. (2 de Febrero de 2017). “Least Squares” and “Linear Regression”, are they synonyms? Obtenido de What is the difference between least squares and linear regression? Is it the same thing?: https://stats.stackexchange.com/questions/259525/least-squares-and-linear-regression-are-they-synonyms

TalkStats. (29 de Noviembre de 2011). SPSS. Obtenido de Forums: http://www.talkstats.com/threads/what-is-the-difference-between-a-factor-and-a-covariate-for-multinomial-logistic-reg.21864/

van den Berg, R. G. (15 de Julio de 2021). Measurement Levels – What and Why? Obtenido de SPSS Tutorials: https://www.spss-tutorials.com/measurement-levels/

Wikipedia. (21 de Mayo de 2021). Iterative proportional fitting. Obtenido de Statistical algorithms: https://en.wikipedia.org/wiki/Iterative_proportional_fitting

Wikipedia. (25 de Febrero de 2021). Iteratively reweighted least squares. Obtenido de Least squares: https://en.wikipedia.org/wiki/Iteratively_reweighted_least_squares

Wikipedia. (8 de Julio de 2021). Lp space. Obtenido de Measure theory: https://www.wikiwand.com/en/Lp_space