Temario

Plan semanal

Datos y análisis exploratorio

Referencias: (W. S. Cleveland 1994), (Chihara and Hesterberg 2018)

  1. Visualización1

  2. Análisis exploratorio

  3. Tipos de datos o estudios

    • Muestras diseñadas y muestras naturales
    • Experimentos y datos observacionales

Introducción a Pruebas de Hipótesis

Referencias: (Chihara and Hesterberg 2018)

  1. Introducción a pruebas de hipótesis. Pruebas de permutaciones
  2. Muestras pareadas y otros ejemplos

Estimación y distribución de muestreo

Referencias: (Chihara and Hesterberg 2018), (Tim C. Hesterberg 2015b)

  1. Estimadores y su distribución de muestreo
  2. Repaso de probabilidad y Teorema del límite central

Introducción a estimación por intervalos

Referencias: (Chihara and Hesterberg 2018), (Efron and Tibshirani 1993), (Tim C. Hesterberg 2015b)

  1. El método plugin y el boostrap
  2. Bootstrap e Intervalos de confianza. Ejemplos.

Estimación

Referencias: (Chihara and Hesterberg 2018), (Wasserman 2013)

  1. Estimación por máxima verosimilitud
  2. Ejemplos de estimación por máxima verosimilitud y Bootstrap paramétrico
  3. Propiedades de estimadores de máxima verosimilitud

Más de pruebas de hipótesis

Referencias: (Chihara and Hesterberg 2018), (Wasserman 2013)

  1. Pruebas de hipótesis para medias y proporciones: una y dos poblaciones.

Introducción a inferencia bayesiana

Referencias: (Kruschke 2015)

  1. Introducción a inferencia bayesiana
  2. Ejemplos de distribuciones conjugadas
  3. Introducción a métodos computacionales básicos: Muestreadores Metrópolis y Gibbs

Evaluación

Se evaluará mediante tareas semanales y dos exámenes:

  • Tareas semanales (20%)
  • Examen parcial en clase y a casa (40%)
  • Examen final a casa (40%)

0.1 Referencias

Box, George EP, William H Hunter, Stuart Hunter, et al. 1978. Statistics for Experimenters. Vol. 664. John Wiley; sons New York.
Chihara, Laura M., and Tim C. Hesterberg. 2018. Mathematical Statistics with Resampling and r. 2nd ed. Hoboken, NJ: John Wiley & Sons. https://sites.google.com/site/chiharahesterberg/home.
Chowdhury, Niladri Roy, Dianne Cook, Heike Hofmann, Mahbubul Majumder, Eun-Kyung Lee, and Amy L Toth. 2015. “Using Visual Statistical Inference to Better Understand Random Class Separations in High Dimension, Low Sample Size Data.” Computational Statistics 30 (2): 293–316.
Cleveland, W. S. 1994. The Elements of Graphing Data. AT&T Bell Laboratories. https://books.google.com.mx/books?id=KMsZAQAAIAAJ.
Cleveland, William S. 1979. “Robust Locally Weighted Regression and Smoothing Scatterplots.” Journal of the American Statistical Association 74 (368): 829–36.
Cleveland, William S. 1993. Visualizing Data. Hobart Press.
Cleveland, William S., and Robert McGill. 1984. “Graphical Perception: Theory, Experimentation, and Application to the Development of Graphical Methods.” Journal of the American Statistical Association 79 (387): pp. 531–554. http://www.jstor.org/stable/2288400.
Davison, A. C., and D. V. Hinkley. 1997. Bootstrap Methods and Their Applications. Cambridge: Cambridge University Press. http://statwww.epfl.ch/davison/BMA/.
Efron, Bradley, and Robert J. Tibshirani. 1993. An Introduction to the Bootstrap. Monographs on Statistics and Applied Probability 57. Boca Raton, Florida, USA: Chapman & Hall/CRC.
Gelman, Andrew, and Jennifer Hill. 2006. Data Analysis Using Regression and Multilevel/Hierarchical Models. 1st ed. Cambridge University Press. http://www.amazon.com/Analysis-Regression-Multilevel-Hierarchical-Models/dp/052168689X/ref=sr_1_1?s=books&ie=UTF8&qid=1313405184&sr=1-1.
Gelman, Andrew, Jennifer Hill, and Masanao Yajima. 2012. “Why We (Usually) Don’t Have to Worry about Multiple Comparisons.” Journal of Research on Educational Effectiveness 5 (2): 189–211. https://doi.org/10.1080/19345747.2011.618213.
Guber, D. 1999. “Getting What You Pay for: The Debate over Equity in Public School Expenditures.” Journal of Statistics Education 7 (2).
Hesterberg, Tim C. 2015a. “What Teachers Should Know about the Bootstrap: Resampling in the Undergraduate Statistics Curriculum.” The American Statistician 69 (4): 371–86.
Hesterberg, Tim C. 2015b. “What Teachers Should Know about the Bootstrap: Resampling in the Undergraduate Statistics Curriculum.” The American Statistician 69 (4): 371–86. https://doi.org/10.1080/00031305.2015.1089789.
Hofmann, Heike, Lendie Follett, Mahbubul Majumder, and Dianne Cook. 2012. “Graphical Tests for Power Comparison of Competing Designs.” IEEE Transactions on Visualization and Computer Graphics 18 (12): 2441–48.
INEGI. 2018. “Encuesta Nacional de Ingresos y Gastos de Los Hogares (ENIGH-2018). Diseño Muestral.” http://internet.contenidos.inegi.org.mx/contenidos/Productos/prod_serv/contenidos/espanol/bvinegi/productos/nueva_estruc/702825070359.pdf.
Ioannidis, John PA. 2005. “Why Most Published Research Findings Are False.” PLoS Medicine 2 (8): e124.
Kruschke, John. 2015. Doing Bayesian Data Analysis (Second Edition). Academic Press.
Lê, Sébastien, Julie Josse, François Husson, et al. 2008. “FactoMineR: An r Package for Multivariate Analysis.” Journal of Statistical Software 25 (1): 1–18.
Little, Roderick. 2011. “Calibrated Bayes, for Statistics in General, and Missing Data in Particular.” Statist. Sci. 26 (2): 162–74. https://doi.org/10.1214/10-STS318.
Ramsey, Fred, and Daniel Schafer. 2012. The Statistical Sleuth: A Course in Methods of Data Analysis. Cengage Learning.
Rao, Jon NK, and CFJ Wu. 1988. “Resampling Inference with Complex Survey Data.” Journal of the American Statistical Association 83 (401): 231–41.
Tufte, Edward R. 1986. The Visual Display of Quantitative Information. Cheshire, CT, USA: Graphics Press.
———. 2006. Beautiful Evidence. Cheshire, CT: Graphics Press.
Tukey, J. W. 1977. Exploratory Data Analysis. Addison-Wesley Series in Behavioral Science. Addison-Wesley Publishing Company. https://books.google.com.mx/books?id=UT9dAAAAIAAJ.
Wasserman, Larry. 2013. All of Statistics: A Concise Course in Statistical Inference. Springer Science & Business Media.
Wickham, Hadley, Dianne Cook, Heike Hofmann, and Andreas Buja. 2010. “Graphical Inference for Infovis.” IEEE Transactions on Visualization and Computer Graphics 16 (6): 973–79.
Wickham, H, NR Chowdhury, and D Cook. 2012. “Nullabor: Tools for Graphical Inference.” R Package Version 0.2 1: 213.

References

Chihara, Laura M., and Tim C. Hesterberg. 2018. Mathematical Statistics with Resampling and r. 2nd ed. Hoboken, NJ: John Wiley & Sons. https://sites.google.com/site/chiharahesterberg/home.
Cleveland, W. S. 1994. The Elements of Graphing Data. AT&T Bell Laboratories. https://books.google.com.mx/books?id=KMsZAQAAIAAJ.
Efron, Bradley, and Robert J. Tibshirani. 1993. An Introduction to the Bootstrap. Monographs on Statistics and Applied Probability 57. Boca Raton, Florida, USA: Chapman & Hall/CRC.
Hesterberg, Tim C. 2015b. “What Teachers Should Know about the Bootstrap: Resampling in the Undergraduate Statistics Curriculum.” The American Statistician 69 (4): 371–86. https://doi.org/10.1080/00031305.2015.1089789.
Kruschke, John. 2015. Doing Bayesian Data Analysis (Second Edition). Academic Press.
Wasserman, Larry. 2013. All of Statistics: A Concise Course in Statistical Inference. Springer Science & Business Media.

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