22 |
23 | ## Instalación
24 |
25 | Para realizar la instalación de R usted debe visitar la página del CRAN (Comprehensive R Archive Network) disponible en este [enlace](https://cran.r-project.org/). Una vez ingrese a la página encontrará un cuadro similar al mostrado en la siguiente figura donde encontrará los enlaces de la instalación para los sistemas operativos Linux, Mac y Windows.
26 |
27 |
28 |
29 |
30 |
31 | Supongamos que se desea instalar R en Windows, para esto se debe dar clic sobre el hiperenlace __Download R for Windows__. Una vez hecho esto se abrirá una página con el contenido mostrado en la siguiente figura. Luego se debe dar clic sobre el hiperenlace __install R for the first time__.
32 |
33 |
34 |
35 |
36 |
37 | Luego de esto se abrirá otra página con un encabezado similar al mostrado en la siguiente figura. Al momento de capturar la figura la versión actual de R era 3.2.5 pero con certeza usted tendrá disponible la versión actualizada. Una vez allí uste debe dar clic sobre __Download R 3.2.5 for Windows__ como es señalado por la flecha verde. Luego de esto se descargará el instalador R en el computador el cual deberá ser instalado con las opciones que vienen por defecto.
38 |
39 |
40 |
41 |
42 |
43 | Se recomienda observar el siguiente video didáctico de instalación de R disponible en este [enlace](https://youtu.be/rzw1E6HxBFY) para facilitar la tarea de instalación.
44 |
45 | ## Apariencia del programa
46 |
47 | Una vez que esté instalado R en su computador, usted podrá acceder a él por la lista de programas o por medio del acceso directo que quedó en el escritorio, en la siguiente figura se muestra la apariencia del acceso directo para ingresar a R.
48 |
49 |
50 |
51 |
52 |
53 | Al abrir R aparecerá en la pantalla de su computador algo similar a lo que está en la siguiente figura. La ventana izquierda se llama consola y es donde se ingresan las instrucciones, una vez que se construye un gráfico se activa otra ventana llamada ventana gráfica. Cualquier usuario puede modificar la posición y tamaños de estas ventanas, puede cambiar el tipo y tamaño de las letras en la consola, para hacer esto se deben explorar las opciones de __editar__ en la barra de herramientas.
54 |
55 |
56 |
57 |
58 |
59 |
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/04_input_data.Rmd:
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1 | # Ingresando datos a R
2 |
3 | En este capítulo se muestra como ingresar datos a R.
4 |
5 | ## Usando la consola
6 |
7 | La función `readline` básica de R sirve para escribir un mensaje en la consola y solicitar al usuario una información que luego se puede utilizar para realizar alguna operación.
8 |
9 | Abajo se muestra un código de R que el lector puede copiar y pegar en un script. El código se debe ejecutar línea por línea y no en bloque.
10 |
11 | La primera línea solicita el nombre del usuario y lo almacena automáticamente en la variable `my_name`. La segunda línea solicita la edad y la almacena en la variable `my_age`. La tercera se asegura que la edad se convierta a un número entero. La cuarta instrucción, escrita en varias líneas, saluda y entrega la edad del usuario en el próximo año.
12 |
13 | ```{r eval=FALSE}
14 | my_name <- readline(prompt="Ingrese su nombre: ")
15 | my_age <- readline(prompt="Ingrese su edad en años: ")
16 | my_age <- as.integer(my_age) # convert character into integer
17 |
18 | print(paste("Hola,", my_name,
19 | "el año siguiente usted tendra",
20 | my_age + 1,
21 | "años de edad."))
22 | ```
23 |
24 |
25 | ## Usando ventana emergente con __svDialogs__
26 |
27 | El paquete __svDialogs__ se puede utilizar para crear ventanas emergentes con un mensaje y solicitando información que luego se puede utilizar para realizar alguna operación.
28 |
29 | Abajo se muestra un código de R que el lector puede copiar y pegar en un script. El código se puede ejecutar en bloque.
30 |
31 | Este ejemplo hace lo mismo que el ejemplo anterior pero con la ventaja de abrir una ventana emergente para mostrar un mensaje y solicitar alguna información. Lo primero que se debe hacer es cargar el paquete __svDialogs__, si aún no lo ha instalado puede hacer escribiendo
32 |
33 | ```{r eval=FALSE}
34 | install.packages("svDialogs") # Para instalar el paquete
35 | library(svDialogs) # Para usar el paquete
36 |
37 | my_name <- dlgInput(message="Ingrese su nombre: ")$res
38 | my_age <- dlgInput(message="Ingrese su edad en años: ")$res
39 | my_age <- as.integer(my_age) # convert character into integer
40 |
41 | print(paste("Hola,", my_name,
42 | "el año siguiente usted tendá",
43 | my_age + 1,
44 | "años de edad."))
45 | ```
46 |
47 | En la siguiente figura se muestran las cajas solicitando la información.
48 |
49 |
50 |
51 |
52 |
53 | Abajo la salida luego de correr todo el código del ejemplo.
54 |
55 | ```{r echo=FALSE}
56 | print("Hola, Pedro el año siguiente usted tendr 26 años de edad.")
57 | ```
58 |
59 | ## Botones para responder
60 | La función `winDialog` del paquete básico __utils_ sirve para crear botones de diálogo en Windows solamente. A continuación se muestra la forma de generar los 4 tipos de botones.
61 |
62 | ```{r eval=FALSE}
63 | library(utils)
64 |
65 | winDialog(type="ok", message="¿Usted quiere BORRAR el archivo?")
66 | winDialog(type="okcancel", message="¿Usted quiere BORRAR el archivo?")
67 | winDialog(type="yesno", message="¿Usted quiere BORRAR el archivo?")
68 | winDialog(type="yesnocancel", message="¿Usted quiere BORRAR el archivo?")
69 | ```
70 |
71 | En la siguiente figura están las imágenes de los 4 tipos de botones.
72 |
73 |
74 |
75 |
76 |
77 | A continuación se muestra un ejemplo de cómo usar un botón para preguntar y luego imprimir en la consola un mensaje dependiendo de la respuesta. Copie todo el siguiente código en la consola y vea el resultado.
78 |
79 | ```{r eval=FALSE}
80 | answer <- winDialog(type="yesno", mess="¿Le sirvió mi sugerencia?")
81 | if (answer=='YES') {print('Excelente!')} else {print('Lástima')}
82 | ```
83 |
84 |
85 |
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1 | # Medidas de posición {#posi}
2 |
3 | En este capítulo se mostrará cómo obtener las diferentes medidas de posición con R.
4 |
5 | Para ilustrar el uso de las funciones se utilizará una base de datos llamada __medidas del cuerpo__, esta base de datos cuenta con 6 variables registradas a un grupo de 36 estudiantes de la universidad. Las variables son:
6 |
7 | 1. `edad` del estudiante (años),
8 | 2. `peso` del estudiante (kilogramos),
9 | 3. `altura` del estudiante (centímetros),
10 | 4. `sexo` del estudiante (Hombre, Mujer),
11 | 5. `muneca`: perímetro de la muñeca derecha (centímetros),
12 | 6. `biceps`: perímetro del biceps derecho (centímetros).
13 |
14 | A continuación se presenta el código para definir la url donde están los datos, para cargar la base de datos en R y para mostrar por pantalla un encabezado (usando `head`) de la base de datos.
15 |
16 | ```{r}
17 | url <- 'https://raw.githubusercontent.com/fhernanb/datos/master/medidas_cuerpo'
18 | datos <- read.table(file=url, header=T)
19 | head(datos) # Para ver el encabezado de la base de datos
20 | ```
21 |
22 | ## Cuantiles \index{cuantiles} \index{quantile} \index{cuartiles} \index{deciles} \index{percentiles}
23 |
24 | Para obtener cualquier cuantil (cuartiles, deciles y percentiles) se usa la función `quantile`. Los argumentos básicos de la función `quantile` son tres y se muestran a continuación.
25 |
26 | ```{r, eval=F}
27 | quantile(x, probs, na.rm = FALSE)
28 | ```
29 |
30 | En el parámetro `x` se indica la variable de interés para la cual se quieren calcular los cuantiles, el parámetro `probs` sirve para definir los cuantiles de interés y el parámetro `na.rm` es un valor lógico que en caso de ser `TRUE`, significa que se deben remover las observaciones con `NA`, el valor por defecto para este parámetro es `FALSE`.
31 |
32 | ### Ejemplo {-}
33 | Suponga que queremos obtener el percentil 5, la mediana y el decil 8 pa la altura del grupo de estudiantes.
34 |
35 | Se solicita el percentil 5, la mediana que es el percentil 50 y el decil 8 que corresponde al percentil 80, por lo tanto es necesario indicarle a la función `quantile` que calcule los cuantiles para las ubicaciones 0.05, 0.5 y 0.8, el código para obtener las tres medidas solicitadas es el siguiente.
36 |
37 | ```{r}
38 | quantile(x=datos$altura, probs=c(0.05, 0.5, 0.8))
39 | ```
40 |
41 |
42 |
43 |
44 |
45 |
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/51_Aprox_Int.Rmd:
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1 | # Aproximación de integrales {#aproxint}
2 |
3 | En este capítulo se mostrará cómo aproximar integrales en una y varias dimensiones.
4 |
5 | ## Aproximación de Laplace unidimensional
6 | Esta aproximación es útil para obtener el valor de una integral usando la expansión de Taylor para una función $f(x)$ unimodal en $\Re$, en otras palabras lo que interesa es:
7 | $$ I = \int_{-\infty}^{\infty} f(x) d(x)$$
8 | Al hacer una expansión de Taylor de segundo orden para $\log(f(x))$ en su moda $x_0$ el resultado es:
9 | $$ \log(f(x)) \approx \log(f(x_0)) + \frac{\log(f)^\prime(x_0)}{1!} (x-x_0) + \frac{\log(f)^{\prime \prime}(x_0)}{2!} (x-x_0)^2 $$
10 | El segundo término de la suma se anula porque $\log(f)^\prime(x_0)=0$ por ser $x_0$ el valor donde está el máximo de $\log(f(x))$. La expresión anterior se simplifica en:
11 | $$ \log(f(x)) \approx \log(f(x_0)) + \frac{\log(f)^{\prime \prime}(x_0)}{2!} (x-x_0)^2 $$
12 | al aislar $f(x)$ se tiene que
13 |
14 | \begin{equation}
15 | f(x) \approx f(x_0) \exp \left( -\frac{c}{2} (x-x_0)^2 \right)
16 | (\#eq:fx)
17 | \end{equation}
18 |
19 | donde $c=-\frac{d^2}{dx^2} \log(f(x)) \bigg|_{x=x_0}$.
20 |
21 | La expresión \@ref(eq:fx) se puede reescribir de manera que aparezca el núcleo de la función de densidad de la distribución normal con media $x_0$ y varianza $1/c$, a continuación la expresión
22 |
23 | $$
24 | f(x) \approx f(x_0) \frac{\sqrt{2 \pi / c}}{\sqrt{2 \pi / c}} \exp \left( -\frac{1}{2} \left( \frac{x-x_0}{1/\sqrt{c}} \right)^2 \right)
25 | $$
26 | Así al calcular la integral de $f(x)$ en $\Re$ se tiene que:
27 |
28 | \begin{equation}
29 | I = \int_{-\infty}^{\infty} f(x) d(x) = f(x_0) \sqrt{2 \pi / c}
30 | (\#eq:aproxlaplace)
31 | \end{equation}
32 |
33 | ### Ejemplo {-}
34 | Calcular la integral de $f(x)=\exp \left( -(x-1.5)^2 \right)$ en $\Re$ utilizando la aproximación de Laplace.
35 |
36 | Primero vamos a dibujar la función $f(x)$ para ver en dónde está su moda $x_0$.
37 |
38 | ```{r aprox1, fig.height=3, fig.width=4, fig.cap='Perfil de la función f(x).'}
39 | fun <- function(x) exp(-(x-1.5)^2)
40 | curve(fun, from=-5, to=5, ylab='f(x)', las=1)
41 | ```
42 |
43 | Visualmente se nota que la moda está cerca del valor 1.5 y para determinar numéricamente el valor de la moda $x_0$ se usa la función `optimize`, los resultados se almacenan en el objeto `res`. El valor de la moda corresponde al elemento `maximum` del objeto `res`.
44 |
45 | ```{r}
46 | res <- optimize(fun, interval=c(-10, 10), maximum=TRUE)
47 | res
48 | ```
49 |
50 | Para determinar el valor de $c$ de la expresión \@ref(eq:aproxlaplace) se utiliza el siguiente código.
51 |
52 | ```{r, message=FALSE}
53 | require("numDeriv")
54 | constant <- - as.numeric(hessian(fun, res$maximum))
55 | ```
56 |
57 | Para obtener la aproximación de la integral se usa la expresión \@ref(eq:aproxlaplace) y para tener un punto de comparación se evalua la integral usando la función `integrate`, a continuación el código.
58 |
59 | ```{r}
60 | fun(res$maximum) * sqrt(2*pi/constant)
61 |
62 | integrate(fun, -Inf, Inf) # Para comparar
63 | ```
64 | De los anteriores resultados vemos que la aproximación es buena.
65 |
66 |
67 |
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/81_EmpiricalDistributions.Rmd:
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1 | # Distribuciones empíricas {#empiricaldists}
2 |
3 | En este capítulo se muestra la forma de crear distribuciones empíricas a partir de datos observados.
4 |
5 | ## Una variable
6 |
7 | Las funciones para obtener la densidad empírica $f_n(x)$ y la función de distribución acumulada empírica $F_n(x)$ de una variable cuantitativa son `density` y `ecdf` del paquete básico **stats**. A continuación al estructura de las funciones.
8 |
9 | ```{r eval=FALSE}
10 | density(x, bw = "nrd0", adjust = 1,
11 | kernel = c("gaussian", "epanechnikov", "rectangular",
12 | "triangular", "biweight",
13 | "cosine", "optcosine"),
14 | weights = NULL, window = kernel, width,
15 | give.Rkern = FALSE, subdensity = FALSE,
16 | n = 512, from, to, cut = 3, na.rm = FALSE, ...)
17 |
18 | ecdf(x)
19 | ```
20 |
21 | ### Ejemplo {-}
22 |
23 | Supongamos que se obtener una distribución empírica para la variable altura de los hombres de la base de datos __medidas del cuerpo__.
24 |
25 | ```{r}
26 | url <- 'https://raw.githubusercontent.com/fhernanb/datos/master/medidas_cuerpo'
27 | datos <- read.table(file=url, header=T)
28 | ```
29 |
30 | *Solución*
31 |
32 | ```{r}
33 | emp_f <- density(datos$altura)
34 | emp_F <- ecdf(datos$altura)
35 | ```
36 |
37 | Ahora vamos a dibujar $f_n(x)$ y $F_n(x)$.
38 |
39 | ```{r eval=FALSE}
40 | par(mfrow=c(1, 2))
41 | plot(emp_f, las=1, main="Empirical fn(x)", xlab="Altura", ylab="fn(x)")
42 | plot(emp_F, las=1, main="Empirical Fn(x)", xlab="Altura")
43 | ```
44 |
45 | ```{r fnFn, echo=FALSE, fig.cap='fn(x) y Fn(x) para las alturas.', fig.height=4, fig.width=9}
46 | par(mfrow=c(1, 2))
47 | plot(emp_f, las=1, main="Empirical fn(x)", xlab="Altura", ylab="fn(x)")
48 | segments(x0=170, y0=0, x1 = 170, y1 = 0.030,
49 | lty="dashed", col="lightblue")
50 | plot(emp_F, las=1, main="Empirical Fn(x)", xlab="Altura")
51 | segments(x0=170, y0=0, x1 = 170, y1 = 0.416,
52 | lty="dashed", col="lightblue")
53 | segments(x0=170, y0=0.416, x1 = 140, y1 = 0.416,
54 | lty="dashed", col="lightblue")
55 | ```
56 |
57 |
58 | ¿Cuál será el valor de $P(Altura \leq 170)$?
59 |
60 | Para responder esta pregunta podemos hacerlo de varias maneras:
61 |
62 | - Observando la figura de $f_n(x)$. Al subir desde Altura = 170 chocamos con la curva y calculamos el área bajo la curva y a la izquierda de 170.
63 | - Observando la figura de $F_n(x)$. Al subir desde Altura = 170 chocamos con la curva a una altura aproximada de 0.41.
64 | - Evaluando 170 en la función `emp_F` así:
65 |
66 | ```{r}
67 | emp_F(170)
68 | ```
69 |
70 | De ambas formas se llega a que $P(Altura \leq 170) = 0.4166$.
71 |
72 |
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1 | `r if (knitr:::is_html_output()) '# References {-}'`
2 |
3 | ```{r include=FALSE}
4 | # generate a BibTeX database automatically for some R packages
5 | knitr::write_bib(c(
6 | .packages(), 'bookdown', 'knitr', 'rmarkdown'
7 | ), 'packages.bib')
8 | ```
9 |
10 |
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/99_Curiosidades.Rmd:
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1 | ---
2 | output: html_document
3 | runtime: shiny
4 | ---
5 | # Curiosidades {#curio}
6 |
7 | En este capítulo se mostrarán algunos procedimientos de R para solucionar problemas frecuentes.
8 |
9 | ## ¿Cómo verificar si un paquete no está instalado para instalarlo de forma automática?
10 | Muchas veces compartimos código de R con otros colegas y si ellos no tienen instalados ciertos paquetes el código no funcionará. Para evitar ese problema podemos colocar al inicio del código unas líneas que chequeen si ciertos paquetes están instalados o no, si están instalados, se cargan esos paquetes y caso contrario, el código instala los paquetes y luego los carga, todo de forma automática sin que el usuario tenga que identificar los paquetes que le faltan.
11 |
12 | ### Ejemplo {-}
13 | El código mostrado abajo revisa si los paquetes `knitr`, `png` y `markdown` están instalados e instala los ausentes y luego carga todos los paquetes que estén en el vector `packages`.
14 |
15 | ```{r, eval=FALSE, include=TRUE}
16 | packages <- c("knitr", "png", "markdown")
17 | package.check <- lapply(packages, FUN = function(x) {
18 | if (!require(x, character.only = TRUE)) {
19 | install.packages(x, dependencies = TRUE)
20 | library(x, character.only = TRUE)
21 | }
22 | })
23 | ```
24 |
25 |
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/DESCRIPTION:
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1 | Package: manual-de-r
2 | Title: Manual de R
3 | Version: 0.0.0.9000
4 | Authors@R: c(person("Freddy", "Hernandez", email = "fhernanb@unal.edu.co", role = c("aut", "cre")),
5 | person("Olga", "Usuga", email = "olga.usuga@udea.edu.co", role = c("aut")))
6 | Depends: R (>= 3.3.0)
7 | Imports:
8 | bookdown
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/Dockerfile:
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1 | FROM conoria/alpine-r-bookdown
2 |
3 | WORKDIR /usr/src
4 |
5 | COPY . .
6 |
7 | RUN R -q -e 'bookdown::render_book("index.Rmd", "bookdown::gitbook")' && mv _book /public
8 |
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/LICENSE:
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1 | MIT License
2 |
3 | Copyright (c) 2016 Yihui Xie
4 |
5 | Permission is hereby granted, free of charge, to any person obtaining a copy
6 | of this software and associated documentation files (the "Software"), to deal
7 | in the Software without restriction, including without limitation the rights
8 | to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
9 | copies of the Software, and to permit persons to whom the Software is
10 | furnished to do so, subject to the following conditions:
11 |
12 | The above copyright notice and this permission notice shall be included in all
13 | copies or substantial portions of the Software.
14 |
15 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
16 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
17 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
18 | AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
19 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
20 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
21 | SOFTWARE.
22 |
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/Manual-de-R.Rproj:
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1 | Version: 1.0
2 |
3 | RestoreWorkspace: Default
4 | SaveWorkspace: Default
5 | AlwaysSaveHistory: Default
6 |
7 | EnableCodeIndexing: Yes
8 | UseSpacesForTab: Yes
9 | NumSpacesForTab: 2
10 | Encoding: UTF-8
11 |
12 | RnwWeave: knitr
13 | LaTeX: XeLaTeX
14 |
15 | BuildType: Website
16 |
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