Teoría

El Market Basket Analysis es una técnica en el ámbito de análisis y minería de datos en el campo del comercio. Su objetivo rincial es descrubrir patrones de asociación entre productos que suelen ser comparados juntos por los clientes.

Las 3 métricas principales para evaluar reglas de asociación son:

  • Confidence (Confianza): Probabilidad de comprar B sabiendo que se compró A. Ej. Pan –> Mantequilla 0.8 De cada 100 clientes que compraron pan, 80 compraron mantequilla también.
  • Lift (Elevación): Cuánto más probable es comprr B cuando se compra A en comparación de la probabilidad de comprar B sin saber si se compró A. Ej. Lift > 1 Compra A impulsa B. Lift = 1 No tienen relación de compra. Lift < 1 A reduce la compra de B.
  • Support (Soporte): Popularidad del producto dentro de las transacciones. Ej. Pan y Mantequilla 0.05 El 5% de todas las transacciones compraron estos dos productos juntos.

Contexto

Una cadena de tiendas de conveniencia tiene 5 tiendas ubicadas en distintas ciudades de México. La base de datos “abarrotes” contiene 1 mes de transacciones, pero presenta errores de calidad que impiden realizar análisis confiables. El objetivo es limpiar la base de datos de forma estratégica y posteriormente aplicar MBA para descubrir patrones de compra y diseñar promociones que aumenten las ventas.

Instalar paquetes y llamar librerías

# install.packages("tidyverse") # Paquete global para manipulación y análisis de datos
library(tidyverse)
## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ dplyr     1.2.1     ✔ readr     2.2.0
## ✔ forcats   1.0.1     ✔ stringr   1.6.0
## ✔ ggplot2   4.0.3     ✔ tibble    3.3.1
## ✔ lubridate 1.9.5     ✔ tidyr     1.3.2
## ✔ purrr     1.2.2     
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::lag()    masks stats::lag()
## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors
# install.packages("janitor") # Examinar y limpiar bases de datos sucias
library(janitor)
## 
## Attaching package: 'janitor'
## 
## The following objects are masked from 'package:stats':
## 
##     chisq.test, fisher.test
# install.packages("Matrix") # Para trabajar con matrices
library(Matrix)
## 
## Attaching package: 'Matrix'
## 
## The following objects are masked from 'package:tidyr':
## 
##     expand, pack, unpack
# install.packages("arules") #Genera reglas de asociación
library(arules)
## 
## Attaching package: 'arules'
## 
## The following object is masked from 'package:dplyr':
## 
##     recode
## 
## The following objects are masked from 'package:base':
## 
##     abbreviate, write
# install.packages("arulesViz") # Visualizar reglas de asociación
library(arulesViz)
# install.packages("plyr")
library(plyr)
## ------------------------------------------------------------------------------
## You have loaded plyr after dplyr - this is likely to cause problems.
## If you need functions from both plyr and dplyr, please load plyr first, then dplyr:
## library(plyr); library(dplyr)
## ------------------------------------------------------------------------------
## 
## Attaching package: 'plyr'
## 
## The following objects are masked from 'package:dplyr':
## 
##     arrange, count, desc, mutate, rename, summarise, summarize
## 
## The following object is masked from 'package:purrr':
## 
##     compact

Importar la base de datos

 # file.choose()
  df <- read.csv("/Users/elisarivas/Downloads/abarrotes.csv")

Entender la base de datos

summary(df)
##     ClaveTienda          DescGiro      Codigo.Barras            PLU        
##  Length   :200625   Length   :200625   Min.   :8.347e+05   Min.   : 1.000  
##  N.unique :     5   N.unique :     3   1st Qu.:7.501e+12   1st Qu.: 1.000  
##  N.blank  :     0   N.blank  :     0   Median :7.501e+12   Median : 1.000  
##  Min.nchar:     5   Min.nchar:     8   Mean   :5.950e+12   Mean   : 2.112  
##  Max.nchar:     5   Max.nchar:    10   3rd Qu.:7.501e+12   3rd Qu.: 1.000  
##                                        Max.   :1.750e+13   Max.   :30.000  
##                                                            NAs    :199188  
##        Fecha               Hora              Marca            Fabricante    
##  Length   :200625   Length   :200625   Length   :200625   Length   :200625  
##  N.unique :   195   N.unique : 52145   N.unique :   540   N.unique :   241  
##  N.blank  :     0   N.blank  :     0   N.blank  :     0   N.blank  :     0  
##  Min.nchar:    10   Min.nchar:     8   Min.nchar:     3   Min.nchar:     3  
##  Max.nchar:    10   Max.nchar:     8   Max.nchar:    30   Max.nchar:    40  
##                                                                             
##                                                                             
##       Producto          Precio          Ult.Costo         Unidades     
##  Length   :200625   Min.   :-147.00   Min.   :  0.38   Min.   : 0.200  
##  N.unique :  3406   1st Qu.:  11.00   1st Qu.:  8.46   1st Qu.: 1.000  
##  N.blank  :     0   Median :  16.00   Median : 12.31   Median : 1.000  
##  Min.nchar:     4   Mean   :  19.42   Mean   : 15.31   Mean   : 1.262  
##  Max.nchar:    40   3rd Qu.:  25.00   3rd Qu.: 19.23   3rd Qu.: 1.000  
##                     Max.   :1000.00   Max.   :769.23   Max.   :96.000  
##                                                                        
##     F.Ticket      NombreDepartamento   NombreFamilia     NombreCategoria  
##  Min.   :     1   Length   :200625   Length   :200625   Length   :200625  
##  1st Qu.: 33964   N.unique :     9   N.unique :    51   N.unique :   174  
##  Median :105993   N.blank  :     0   N.blank  :     0   N.blank  :     0  
##  Mean   :193990   Min.nchar:     6   Min.nchar:     3   Min.nchar:     2  
##  3rd Qu.:383005   Max.nchar:    20   Max.nchar:    25   Max.nchar:    37  
##  Max.   :450040                                                           
##                                                                           
##        Estado           Mts.2        Tipo.ubicación          Giro       
##  Length   :200625   Min.   :47.0   Length   :200625   Length   :200625  
##  N.unique :     5   1st Qu.:53.0   N.unique :     3   N.unique :     2  
##  N.blank  :     0   Median :60.0   N.blank  :     0   N.blank  :     0  
##  Min.nchar:     7   Mean   :56.6   Min.nchar:     7   Min.nchar:     9  
##  Max.nchar:    12   3rd Qu.:60.0   Max.nchar:    12   Max.nchar:    10  
##                     Max.   :62.0                                        
##                                                                         
##     Hora.inicio        Hora.cierre    
##  Length   :200625   Length   :200625  
##  N.unique :     3   N.unique :     3  
##  N.blank  :     0   N.blank  :     0  
##  Min.nchar:     5   Min.nchar:     5  
##  Max.nchar:     5   Max.nchar:     5  
##                                       
## 
str(df)
## 'data.frame':    200625 obs. of  22 variables:
##  $ ClaveTienda       : chr  "MX001" "MX001" "MX001" "MX001" ...
##  $ DescGiro          : chr  "Abarrotes" "Abarrotes" "Abarrotes" "Abarrotes" ...
##  $ Codigo.Barras     : num  7.5e+12 7.5e+12 7.5e+12 7.5e+12 7.5e+12 ...
##  $ PLU               : int  NA NA NA NA NA NA NA NA NA NA ...
##  $ Fecha             : chr  "19/06/2020" "19/06/2020" "19/06/2020" "19/06/2020" ...
##  $ Hora              : chr  "08:16:21" "08:23:33" "08:24:33" "08:24:33" ...
##  $ Marca             : chr  "NUTRI LECHE" "DAN UP" "BIMBO" "PEPSI" ...
##  $ Fabricante        : chr  "MEXILAC" "DANONE DE MEXICO" "GRUPO BIMBO" "PEPSI-COLA MEXICANA" ...
##  $ Producto          : chr  "Nutri Leche 1 Litro" "DANUP STRAWBERRY P/BEBER 350GR NAL" "Rebanadas Bimbo 2Pz" "Pepsi N.R. 400Ml" ...
##  $ Precio            : num  16 14 5 8 19.5 16 14 5 8 19.5 ...
##  $ Ult.Costo         : num  12.3 14 5 8 15 ...
##  $ Unidades          : num  1 1 1 1 1 1 1 1 1 1 ...
##  $ F.Ticket          : int  1 2 3 3 4 1 2 3 3 4 ...
##  $ NombreDepartamento: chr  "Abarrotes" "Abarrotes" "Abarrotes" "Abarrotes" ...
##  $ NombreFamilia     : chr  "Lacteos y Refrigerados" "Lacteos y Refrigerados" "Pan y Tortilla" "Bebidas" ...
##  $ NombreCategoria   : chr  "Leche" "Yogurt" "Pan Dulce Empaquetado" "Refrescos Plástico (N.R.)" ...
##  $ Estado            : chr  "Nuevo León" "Nuevo León" "Nuevo León" "Nuevo León" ...
##  $ Mts.2             : int  60 60 60 60 60 60 60 60 60 60 ...
##  $ Tipo.ubicación    : chr  "Esquina" "Esquina" "Esquina" "Esquina" ...
##  $ Giro              : chr  "Abarrotes" "Abarrotes" "Abarrotes" "Abarrotes" ...
##  $ Hora.inicio       : chr  "08:00" "08:00" "08:00" "08:00" ...
##  $ Hora.cierre       : chr  "22:00" "22:00" "22:00" "22:00" ...
# count(df, ClaveTienda, sort=TRUE)
# count(df, DescGiro, sort=TRUE)
# count(df, Fecha, sort=TRUE)
# count(df, Hora, sort=TRUE)
# count(df, Marca, sort=TRUE)
# count(df, Fabricante, sort=TRUE)
# count(df, Producto, sort=TRUE)
# count(df, NombreDepartamento, sort=TRUE)
# count(df, NombreFamilia, sort=TRUE)
# count(df, NombreCategoria, sort=TRUE)
# count(df, Estado, sort=TRUE)
# count(df, Tipo.ubicación, sort=TRUE)
# count(df, Giro, sort=TRUE)
# count(df, Hora.inicio, sort=TRUE)
# count(df, Hora.cierre, sort=TRUE)
head(df,10)
##    ClaveTienda  DescGiro Codigo.Barras PLU      Fecha     Hora
## 1        MX001 Abarrotes  7.501021e+12  NA 19/06/2020 08:16:21
## 2        MX001 Abarrotes  7.501032e+12  NA 19/06/2020 08:23:33
## 3        MX001 Abarrotes  7.501000e+12  NA 19/06/2020 08:24:33
## 4        MX001 Abarrotes  7.501031e+12  NA 19/06/2020 08:24:33
## 5        MX001 Abarrotes  7.501026e+12  NA 19/06/2020 08:26:28
## 6        MX001 Abarrotes  7.501021e+12  NA 19/06/2020 08:16:21
## 7        MX001 Abarrotes  7.501032e+12  NA 19/06/2020 08:23:33
## 8        MX001 Abarrotes  7.501000e+12  NA 19/06/2020 08:24:33
## 9        MX001 Abarrotes  7.501031e+12  NA 19/06/2020 08:24:33
## 10       MX001 Abarrotes  7.501026e+12  NA 19/06/2020 08:26:28
##                         Marca                 Fabricante
## 1                 NUTRI LECHE                    MEXILAC
## 2                      DAN UP           DANONE DE MEXICO
## 3                       BIMBO                GRUPO BIMBO
## 4                       PEPSI        PEPSI-COLA MEXICANA
## 5  BLANCA NIEVES (DETERGENTE) FABRICA DE JABON LA CORONA
## 6                 NUTRI LECHE                    MEXILAC
## 7                      DAN UP           DANONE DE MEXICO
## 8                       BIMBO                GRUPO BIMBO
## 9                       PEPSI        PEPSI-COLA MEXICANA
## 10 BLANCA NIEVES (DETERGENTE) FABRICA DE JABON LA CORONA
##                              Producto Precio Ult.Costo Unidades F.Ticket
## 1                 Nutri Leche 1 Litro   16.0     12.31        1        1
## 2  DANUP STRAWBERRY P/BEBER 350GR NAL   14.0     14.00        1        2
## 3                 Rebanadas Bimbo 2Pz    5.0      5.00        1        3
## 4                    Pepsi N.R. 400Ml    8.0      8.00        1        3
## 5       Detergente Blanca Nieves 500G   19.5     15.00        1        4
## 6                 Nutri Leche 1 Litro   16.0     12.31        1        1
## 7  DANUP STRAWBERRY P/BEBER 350GR NAL   14.0     14.00        1        2
## 8                 Rebanadas Bimbo 2Pz    5.0      5.00        1        3
## 9                    Pepsi N.R. 400Ml    8.0      8.00        1        3
## 10      Detergente Blanca Nieves 500G   19.5     15.00        1        4
##    NombreDepartamento          NombreFamilia           NombreCategoria
## 1           Abarrotes Lacteos y Refrigerados                     Leche
## 2           Abarrotes Lacteos y Refrigerados                    Yogurt
## 3           Abarrotes         Pan y Tortilla     Pan Dulce Empaquetado
## 4           Abarrotes                Bebidas Refrescos Plástico (N.R.)
## 5           Abarrotes     Limpieza del Hogar                Lavandería
## 6           Abarrotes Lacteos y Refrigerados                     Leche
## 7           Abarrotes Lacteos y Refrigerados                    Yogurt
## 8           Abarrotes         Pan y Tortilla     Pan Dulce Empaquetado
## 9           Abarrotes                Bebidas Refrescos Plástico (N.R.)
## 10          Abarrotes     Limpieza del Hogar                Lavandería
##        Estado Mts.2 Tipo.ubicación      Giro Hora.inicio Hora.cierre
## 1  Nuevo León    60        Esquina Abarrotes       08:00       22:00
## 2  Nuevo León    60        Esquina Abarrotes       08:00       22:00
## 3  Nuevo León    60        Esquina Abarrotes       08:00       22:00
## 4  Nuevo León    60        Esquina Abarrotes       08:00       22:00
## 5  Nuevo León    60        Esquina Abarrotes       08:00       22:00
## 6  Nuevo León    60        Esquina Abarrotes       08:00       22:00
## 7  Nuevo León    60        Esquina Abarrotes       08:00       22:00
## 8  Nuevo León    60        Esquina Abarrotes       08:00       22:00
## 9  Nuevo León    60        Esquina Abarrotes       08:00       22:00
## 10 Nuevo León    60        Esquina Abarrotes       08:00       22:00
tail(df,10)
##        ClaveTienda DescGiro Codigo.Barras PLU      Fecha     Hora
## 200616       MX005 Depósito   7.62221e+12  NA 07/08/2020 19:30:13
## 200617       MX005 Depósito   7.62221e+12  NA 25/07/2020 18:42:24
## 200618       MX005 Depósito   7.62221e+12  NA 18/07/2020 22:45:58
## 200619       MX005 Depósito   7.62221e+12  NA 12/07/2020 00:36:34
## 200620       MX005 Depósito   7.62221e+12  NA 12/07/2020 01:08:25
## 200621       MX005 Depósito   7.62221e+12  NA 23/10/2020 22:17:37
## 200622       MX005 Depósito   7.62221e+12  NA 10/10/2020 20:30:20
## 200623       MX005 Depósito   7.62221e+12  NA 10/10/2020 22:40:43
## 200624       MX005 Depósito   7.62221e+12  NA 27/06/2020 22:30:19
## 200625       MX005 Depósito   7.62221e+12  NA 26/06/2020 23:43:34
##                    Marca    Fabricante                          Producto Precio
## 200616 TRIDENT XTRA CARE CADBURY ADAMS Trident Xtracare Freshmint 16.32G      9
## 200617 TRIDENT XTRA CARE CADBURY ADAMS Trident Xtracare Freshmint 16.32G      9
## 200618 TRIDENT XTRA CARE CADBURY ADAMS Trident Xtracare Freshmint 16.32G      9
## 200619 TRIDENT XTRA CARE CADBURY ADAMS Trident Xtracare Freshmint 16.32G      9
## 200620 TRIDENT XTRA CARE CADBURY ADAMS Trident Xtracare Freshmint 16.32G      9
## 200621 TRIDENT XTRA CARE CADBURY ADAMS Trident Xtracare Freshmint 16.32G      9
## 200622 TRIDENT XTRA CARE CADBURY ADAMS Trident Xtracare Freshmint 16.32G      9
## 200623 TRIDENT XTRA CARE CADBURY ADAMS Trident Xtracare Freshmint 16.32G      9
## 200624 TRIDENT XTRA CARE CADBURY ADAMS Trident Xtracare Freshmint 16.32G      9
## 200625 TRIDENT XTRA CARE CADBURY ADAMS Trident Xtracare Freshmint 16.32G      9
##        Ult.Costo Unidades F.Ticket NombreDepartamento NombreFamilia
## 200616      6.92        1   106411          Abarrotes      Dulcería
## 200617      6.92        1   104693          Abarrotes      Dulcería
## 200618      6.92        1   103856          Abarrotes      Dulcería
## 200619      6.92        1   103087          Abarrotes      Dulcería
## 200620      6.92        1   103100          Abarrotes      Dulcería
## 200621      6.92        1   116598          Abarrotes      Dulcería
## 200622      6.92        1   114886          Abarrotes      Dulcería
## 200623      6.92        1   114955          Abarrotes      Dulcería
## 200624      6.92        1   101121          Abarrotes      Dulcería
## 200625      6.92        1   100879          Abarrotes      Dulcería
##        NombreCategoria       Estado Mts.2 Tipo.ubicación       Giro Hora.inicio
## 200616 Gomas de Mazcar Quintana Roo    58        Esquina Mini súper       08:00
## 200617 Gomas de Mazcar Quintana Roo    58        Esquina Mini súper       08:00
## 200618 Gomas de Mazcar Quintana Roo    58        Esquina Mini súper       08:00
## 200619 Gomas de Mazcar Quintana Roo    58        Esquina Mini súper       08:00
## 200620 Gomas de Mazcar Quintana Roo    58        Esquina Mini súper       08:00
## 200621 Gomas de Mazcar Quintana Roo    58        Esquina Mini súper       08:00
## 200622 Gomas de Mazcar Quintana Roo    58        Esquina Mini súper       08:00
## 200623 Gomas de Mazcar Quintana Roo    58        Esquina Mini súper       08:00
## 200624 Gomas de Mazcar Quintana Roo    58        Esquina Mini súper       08:00
## 200625 Gomas de Mazcar Quintana Roo    58        Esquina Mini súper       08:00
##        Hora.cierre
## 200616       21:00
## 200617       21:00
## 200618       21:00
## 200619       21:00
## 200620       21:00
## 200621       21:00
## 200622       21:00
## 200623       21:00
## 200624       21:00
## 200625       21:00
# Tabla de Tienda y Departamento 
tabyl(df, ClaveTienda, NombreDepartamento)
##  ClaveTienda Abarrotes Bebes e Infantiles Carnes Farmacia Ferretería Mercería
##        MX001     95415                515      1      147        245       28
##        MX002      6590                 21      0        4         10        0
##        MX003      4026                 15      0        2          8        0
##        MX004     82234                932      0      102        114       16
##        MX005     10014                  0      0        0          0        0
##  Papelería Productos a Eliminar Vinos y Licores
##         35                    3              80
##          0                    0               4
##          0                    0               0
##         32                    5              20
##          7                    0               0
# Tabla de Estado y Hora de Inicio
tabyl(df, Estado, Hora.inicio)
##        Estado 07:00 08:00 09:00
##       Chiapas  4051     0     0
##       Jalisco     0     0  6629
##    Nuevo León     0 96469     0
##  Quintana Roo     0 10021     0
##       Sinaloa 83455     0     0

Limpiar la base de datos

Técnica 1. Eliminar valores irrelevantes

# Eliminar columnas
df <- subset(df, select=-c(PLU))

# Eliminar renglones
df <- df[df$Precio>0, ]

Técnica 2. Eliminar valores repetidos

df <- distinct(df)

Técnica 3. Corregir errores tipográficos y similares

df$Unidades <- ceiling(df$Unidades)

Técnica 4. Convertir tipos de datos

df$Fecha <- as.Date(df$Fecha, format="%d/%m/%Y")

Técnica 5. Tratar valores faltantes

# Borrar todos los NA's
# df <- na.omit(df)

# Reemplazar los NA's con CEROS
# df[is.na(df)] <- 0

# Reemplazar los NA's con el PROMEDIO
# df$altura[is.na(df$altura)] <- mean(df$altura, na.rn=TRUE)

Técnica 6. Herramientas estadísticas

boxplot(df$Precio, horizontal = TRUE)

boxplot(df$Unidades, horizontal = TRUE)

# Generar Basket

# Ordenar de menor a mayor la columna Ticket
df <- df[order(df$F.Ticket), ]

# Generar Basket
basket <- ddply(df, c("F.Ticket"), function(df) paste(df$Marca, collapse=","))

# Eliminar número de ticket 
basket$F.Ticket <- NULL 

# Cambiar el título de la columna V1 por Marca
colnames(basket) <- c("Marca")

# Exportar basket 
write.csv(basket, "basket.csv", quote=FALSE, row.names=FALSE)

Market Basket Analysis

# file.choose()
tr <- read.transactions("/Users/elisarivas/basket.csv",format= "basket", sep=",")
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in scan(text = l, what = "character", sep = sep, quote = quote, : EOF
## within quoted string
## Warning in asMethod(object): removing duplicated items in transactions
reglas.asociacion <- apriori(tr,parameter=list(supp=0.001, conf=0.2, maxlen=10))
## Apriori
## 
## Parameter specification:
##  confidence minval smax arem  aval originalSupport maxtime support minlen
##         0.2    0.1    1 none FALSE            TRUE       5   0.001      1
##  maxlen target  ext
##      10  rules TRUE
## 
## Algorithmic control:
##  filter tree heap memopt load sort verbose
##     0.1 TRUE TRUE  FALSE TRUE    2    TRUE
## 
## Absolute minimum support count: 115 
## 
## set item appearances ...[0 item(s)] done [0.00s].
## set transactions ...[604 item(s), 115031 transaction(s)] done [0.03s].
## sorting and recoding items ... [207 item(s)] done [0.00s].
## creating transaction tree ... done [0.04s].
## checking subsets of size 1 2 3 done [0.00s].
## writing ... [11 rule(s)] done [0.00s].
## creating S4 object  ... done [0.02s].
#summary(reglas.asociacion)
#inspect(reglas.asociacion)
reglas.asociacion <- sort(reglas.asociacion, by="confidence", decreasing=TRUE)
summary(reglas.asociacion)
## set of 11 rules
## 
## rule length distribution (lhs + rhs):sizes
##  2 
## 11 
## 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##       2       2       2       2       2       2 
## 
## summary of quality measures:
##     support           confidence        coverage             lift       
##  Min.   :0.001017   Min.   :0.2069   Min.   :0.003564   Min.   : 1.326  
##  1st Qu.:0.001104   1st Qu.:0.2358   1st Qu.:0.004507   1st Qu.: 1.789  
##  Median :0.001417   Median :0.2442   Median :0.005807   Median : 3.972  
##  Mean   :0.001521   Mean   :0.2537   Mean   :0.006056   Mean   :17.558  
##  3rd Qu.:0.001652   3rd Qu.:0.2685   3rd Qu.:0.006894   3rd Qu.:21.808  
##  Max.   :0.002747   Max.   :0.3098   Max.   :0.010502   Max.   :65.862  
##      count      
##  Min.   :117.0  
##  1st Qu.:127.0  
##  Median :163.0  
##  Mean   :174.9  
##  3rd Qu.:190.0  
##  Max.   :316.0  
## 
## mining info:
##  data ntransactions support confidence
##    tr        115031   0.001        0.2
##                                                                         call
##  apriori(data = tr, parameter = list(supp = 0.001, conf = 0.2, maxlen = 10))
inspect(reglas.asociacion)
##      lhs                  rhs         support     confidence coverage   
## [1]  {SALVO}           => {FABULOSO}  0.001104050 0.3097561  0.003564257
## [2]  {COCA COLA ZERO}  => {COCA COLA} 0.001417009 0.2969035  0.004772627
## [3]  {BLUE HOUSE}      => {BIMBO}     0.001712582 0.2720994  0.006293956
## [4]  {HELLMANN´S}      => {BIMBO}     0.001538716 0.2649701  0.005807130
## [5]  {COCA COLA LIGHT} => {COCA COLA} 0.002747086 0.2615894  0.010501517
## [6]  {REYMA}           => {CONVERMEX} 0.002095087 0.2441743  0.008580296
## [7]  {FANTA}           => {COCA COLA} 0.001051890 0.2439516  0.004311881
## [8]  {PINOL}           => {CLORALEX}  0.001017117 0.2368421  0.004294495
## [9]  {FABULOSO}        => {SALVO}     0.001104050 0.2347505  0.004703080
## [10] {FUD}             => {BIMBO}     0.001590876 0.2186380  0.007276299
## [11] {SPRITE}          => {COCA COLA} 0.001347463 0.2069426  0.006511288
##      lift      count
## [1]  65.862391 127  
## [2]   1.901832 163  
## [3]   4.078691 197  
## [4]   3.971823 177  
## [5]   1.675626 316  
## [6]  18.551922 241  
## [7]   1.562646 121  
## [8]  25.063647 117  
## [9]  65.862391 127  
## [10]  3.277319 183  
## [11]  1.325583 155
top10reglas <- head(reglas.asociacion, n=10, by="confidence")
plot(top10reglas, method="graph", engine="htmlwidget")

“/Users/elisarivas/basket.csv”

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