association rules

#install.packages("dplyr")
library(dplyr)
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
#install.packages("grid")
library(grid)

#install.packages("arules")
library(arules)
## Loading required package: Matrix
## 
## 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")
library(arulesViz)
data(Groceries)
class(Groceries)
## [1] "transactions"
## attr(,"package")
## [1] "arules"
summary(Groceries)
## transactions as itemMatrix in sparse format with
##  9835 rows (elements/itemsets/transactions) and
##  169 columns (items) and a density of 0.02609146 
## 
## most frequent items:
##       whole milk other vegetables       rolls/buns             soda 
##             2513             1903             1809             1715 
##           yogurt          (Other) 
##             1372            34055 
## 
## element (itemset/transaction) length distribution:
## sizes
##    1    2    3    4    5    6    7    8    9   10   11   12   13   14   15 
## 2159 1643 1299 1005  855  645  545  438  350  246  182  117   78   77   55 
##   16   17   18   19   20   21   22   23   24   26   27   28   29   32 
##   46   29   14   14    9   11    4    6    1    1    1    1    3    1 
## 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   1.000   2.000   3.000   4.409   6.000  32.000 
## 
## includes extended item information - examples:
##        labels  level2           level1
## 1 frankfurter sausage meat and sausage
## 2     sausage sausage meat and sausage
## 3  liver loaf sausage meat and sausage
str(Groceries)
## Formal class 'transactions' [package "arules"] with 3 slots
##   ..@ data       :Formal class 'ngCMatrix' [package "Matrix"] with 5 slots
##   .. .. ..@ i       : int [1:43367] 13 60 69 78 14 29 98 24 15 29 ...
##   .. .. ..@ p       : int [1:9836] 0 4 7 8 12 16 21 22 27 28 ...
##   .. .. ..@ Dim     : int [1:2] 169 9835
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ factors : list()
##   ..@ itemInfo   :'data.frame':  169 obs. of  3 variables:
##   .. ..$ labels: chr [1:169] "frankfurter" "sausage" "liver loaf" "ham" ...
##   .. ..$ level2: Factor w/ 55 levels "baby food","bags",..: 44 44 44 44 44 44 44 42 42 41 ...
##   .. ..$ level1: Factor w/ 10 levels "canned food",..: 6 6 6 6 6 6 6 6 6 6 ...
##   ..@ itemsetInfo:'data.frame':  0 obs. of  0 variables
itemFrequencyPlot(Groceries,topN=15)

rules<- 
  apriori(Groceries, parameter = list(support=0.002,confidence=0.60,minlen=2,maxlen=4))
## Apriori
## 
## Parameter specification:
##  confidence minval smax arem  aval originalSupport maxtime support minlen
##         0.6    0.1    1 none FALSE            TRUE       5   0.002      2
##  maxlen target   ext
##       4  rules FALSE
## 
## Algorithmic control:
##  filter tree heap memopt load sort verbose
##     0.1 TRUE TRUE  FALSE TRUE    2    TRUE
## 
## Absolute minimum support count: 19 
## 
## set item appearances ...[0 item(s)] done [0.00s].
## set transactions ...[169 item(s), 9835 transaction(s)] done [0.02s].
## sorting and recoding items ... [147 item(s)] done [0.00s].
## creating transaction tree ... done [0.01s].
## checking subsets of size 1 2 3 4
## Warning in apriori(Groceries, parameter = list(support = 0.002, confidence
## = 0.6, : Mining stopped (maxlen reached). Only patterns up to a length of 4
## returned!
##  done [0.02s].
## writing ... [349 rule(s)] done [0.00s].
## creating S4 object  ... done [0.00s].
inspect(head(sort(rules), n=10))            
##      lhs                     rhs              support confidence     lift count
## [1]  {butter,                                                                  
##       yogurt}             => {whole milk} 0.009354347  0.6388889 2.500387    92
## [2]  {root vegetables,                                                         
##       butter}             => {whole milk} 0.008235892  0.6377953 2.496107    81
## [3]  {root vegetables,                                                         
##       other vegetables,                                                        
##       yogurt}             => {whole milk} 0.007829181  0.6062992 2.372842    77
## [4]  {tropical fruit,                                                          
##       other vegetables,                                                        
##       yogurt}             => {whole milk} 0.007625826  0.6198347 2.425816    75
## [5]  {tropical fruit,                                                          
##       domestic eggs}      => {whole milk} 0.006914082  0.6071429 2.376144    68
## [6]  {butter,                                                                  
##       whipped/sour cream} => {whole milk} 0.006710727  0.6600000 2.583008    66
## [7]  {tropical fruit,                                                          
##       curd}               => {whole milk} 0.006507372  0.6336634 2.479936    64
## [8]  {tropical fruit,                                                          
##       butter}             => {whole milk} 0.006202339  0.6224490 2.436047    61
## [9]  {butter,                                                                  
##       domestic eggs}      => {whole milk} 0.005998983  0.6210526 2.430582    59
## [10] {pip fruit,                                                               
##       whipped/sour cream} => {whole milk} 0.005998983  0.6483516 2.537421    59
inspect(rules)
##       lhs                           rhs                    support confidence     lift count
## [1]   {cereals}                  => {whole milk}       0.003660397  0.6428571 2.515917    36
## [2]   {rice}                     => {whole milk}       0.004677173  0.6133333 2.400371    46
## [3]   {yogurt,                                                                              
##        specialty cheese}         => {whole milk}       0.002033554  0.7142857 2.795464    20
## [4]   {root vegetables,                                                                     
##        rice}                     => {other vegetables} 0.002236909  0.7096774 3.667723    22
## [5]   {root vegetables,                                                                     
##        rice}                     => {whole milk}       0.002440264  0.7741935 3.029922    24
## [6]   {other vegetables,                                                                    
##        rice}                     => {whole milk}       0.002643620  0.6666667 2.609099    26
## [7]   {yogurt,                                                                              
##        frozen fish}              => {whole milk}       0.002236909  0.6875000 2.690634    22
## [8]   {root vegetables,                                                                     
##        pasta}                    => {whole milk}       0.002338587  0.6052632 2.368788    23
## [9]   {herbs,                                                                               
##        whipped/sour cream}       => {other vegetables} 0.002033554  0.6451613 3.334294    20
## [10]  {citrus fruit,                                                                        
##        herbs}                    => {other vegetables} 0.002135231  0.7241379 3.742457    21
## [11]  {tropical fruit,                                                                      
##        herbs}                    => {whole milk}       0.002338587  0.8214286 3.214783    23
## [12]  {herbs,                                                                               
##        yogurt}                   => {whole milk}       0.002135231  0.6000000 2.348189    21
## [13]  {herbs,                                                                               
##        rolls/buns}               => {whole milk}       0.002440264  0.8000000 3.130919    24
## [14]  {root vegetables,                                                                     
##        processed cheese}         => {other vegetables} 0.002135231  0.6774194 3.501009    21
## [15]  {root vegetables,                                                                     
##        processed cheese}         => {whole milk}       0.002033554  0.6451613 2.524935    20
## [16]  {yogurt,                                                                              
##        semi-finished bread}      => {other vegetables} 0.002236909  0.6285714 3.248555    22
## [17]  {tropical fruit,                                                                      
##        detergent}                => {whole milk}       0.002033554  0.6060606 2.371909    20
## [18]  {root vegetables,                                                                     
##        detergent}                => {whole milk}       0.002745297  0.6279070 2.457408    27
## [19]  {rolls/buns,                                                                          
##        detergent}                => {whole milk}       0.002033554  0.6666667 2.609099    20
## [20]  {root vegetables,                                                                     
##        baking powder}            => {other vegetables} 0.002541942  0.7142857 3.691540    25
## [21]  {root vegetables,                                                                     
##        baking powder}            => {whole milk}       0.002338587  0.6571429 2.571827    23
## [22]  {yogurt,                                                                              
##        baking powder}            => {whole milk}       0.003253686  0.7111111 2.783039    32
## [23]  {rolls/buns,                                                                          
##        baking powder}            => {other vegetables} 0.002135231  0.6000000 3.100893    21
## [24]  {rolls/buns,                                                                          
##        baking powder}            => {whole milk}       0.002236909  0.6285714 2.460008    22
## [25]  {whipped/sour cream,                                                                  
##        flour}                    => {whole milk}       0.002541942  0.6250000 2.446031    25
## [26]  {root vegetables,                                                                     
##        flour}                    => {whole milk}       0.002948653  0.6304348 2.467300    29
## [27]  {butter,                                                                              
##        soft cheese}              => {whole milk}       0.002033554  0.7407407 2.898999    20
## [28]  {soft cheese,                                                                         
##        domestic eggs}            => {other vegetables} 0.002033554  0.6451613 3.334294    20
## [29]  {soft cheese,                                                                         
##        domestic eggs}            => {whole milk}       0.002135231  0.6774194 2.651182    21
## [30]  {whipped/sour cream,                                                                  
##        soft cheese}              => {other vegetables} 0.002236909  0.7333333 3.789981    22
## [31]  {whipped/sour cream,                                                                  
##        soft cheese}              => {whole milk}       0.002033554  0.6666667 2.609099    20
## [32]  {tropical fruit,                                                                      
##        soft cheese}              => {other vegetables} 0.002135231  0.6562500 3.391602    21
## [33]  {tropical fruit,                                                                      
##        soft cheese}              => {whole milk}       0.002135231  0.6562500 2.568332    21
## [34]  {root vegetables,                                                                     
##        soft cheese}              => {other vegetables} 0.002440264  0.7272727 3.758659    24
## [35]  {root vegetables,                                                                     
##        soft cheese}              => {whole milk}       0.002338587  0.6969697 2.727695    23
## [36]  {tropical fruit,                                                                      
##        grapes}                   => {other vegetables} 0.003660397  0.6000000 3.100893    36
## [37]  {grapes,                                                                              
##        root vegetables}          => {other vegetables} 0.002745297  0.6136364 3.171368    27
## [38]  {grapes,                                                                              
##        yogurt}                   => {other vegetables} 0.002846975  0.6086957 3.145834    28
## [39]  {root vegetables,                                                                     
##        cat food}                 => {other vegetables} 0.002846975  0.6086957 3.145834    28
## [40]  {meat,                                                                                
##        root vegetables}          => {whole milk}       0.003152008  0.6200000 2.426462    31
## [41]  {tropical fruit,                                                                      
##        frozen meals}             => {whole milk}       0.003558719  0.6481481 2.536624    35
## [42]  {root vegetables,                                                                     
##        frozen meals}             => {other vegetables} 0.002541942  0.6578947 3.400102    25
## [43]  {root vegetables,                                                                     
##        frozen meals}             => {whole milk}       0.002643620  0.6842105 2.677760    26
## [44]  {whipped/sour cream,                                                                  
##        hard cheese}              => {other vegetables} 0.002745297  0.6136364 3.171368    27
## [45]  {root vegetables,                                                                     
##        hard cheese}              => {other vegetables} 0.003457041  0.6181818 3.194860    34
## [46]  {yogurt,                                                                              
##        hard cheese}              => {whole milk}       0.004168785  0.6507937 2.546978    41
## [47]  {dessert,                                                                             
##        butter milk}              => {whole milk}       0.002033554  0.7142857 2.795464    20
## [48]  {butter milk,                                                                         
##        whipped/sour cream}       => {other vegetables} 0.002338587  0.6052632 3.128094    23
## [49]  {butter milk,                                                                         
##        whipped/sour cream}       => {whole milk}       0.002948653  0.7631579 2.986732    29
## [50]  {pip fruit,                                                                           
##        butter milk}              => {other vegetables} 0.003253686  0.6400000 3.307620    32
## [51]  {root vegetables,                                                                     
##        butter milk}              => {whole milk}       0.003152008  0.6200000 2.426462    31
## [52]  {ham,                                                                                 
##        whipped/sour cream}       => {whole milk}       0.002643620  0.6341463 2.481826    26
## [53]  {ham,                                                                                 
##        pip fruit}                => {other vegetables} 0.002643620  0.6666667 3.445437    26
## [54]  {whipped/sour cream,                                                                  
##        sliced cheese}            => {whole milk}       0.002745297  0.7105263 2.780751    27
## [55]  {root vegetables,                                                                     
##        sliced cheese}            => {other vegetables} 0.003762074  0.6727273 3.476759    37
## [56]  {oil,                                                                                 
##        coffee}                   => {other vegetables} 0.002033554  0.6060606 3.132215    20
## [57]  {beef,                                                                                
##        oil}                      => {whole milk}       0.002033554  0.6451613 2.524935    20
## [58]  {root vegetables,                                                                     
##        oil}                      => {whole milk}       0.004473818  0.6376812 2.495660    44
## [59]  {yogurt,                                                                              
##        oil}                      => {other vegetables} 0.003253686  0.6153846 3.180403    32
## [60]  {rolls/buns,                                                                          
##        oil}                      => {whole milk}       0.003050330  0.6000000 2.348189    30
## [61]  {onions,                                                                              
##        frozen vegetables}        => {other vegetables} 0.002135231  0.6774194 3.501009    21
## [62]  {onions,                                                                              
##        butter}                   => {whole milk}       0.003050330  0.7500000 2.935237    30
## [63]  {onions,                                                                              
##        whipped/sour cream}       => {other vegetables} 0.003152008  0.6200000 3.204256    31
## [64]  {pip fruit,                                                                           
##        onions}                   => {other vegetables} 0.002135231  0.6176471 3.192096    21
## [65]  {pip fruit,                                                                           
##        onions}                   => {whole milk}       0.002236909  0.6470588 2.532361    22
## [66]  {citrus fruit,                                                                        
##        onions}                   => {other vegetables} 0.003558719  0.6363636 3.288826    35
## [67]  {tropical fruit,                                                                      
##        onions}                   => {other vegetables} 0.003660397  0.6428571 3.322386    36
## [68]  {root vegetables,                                                                     
##        onions}                   => {other vegetables} 0.005693950  0.6021505 3.112008    56
## [69]  {berries,                                                                             
##        butter}                   => {whole milk}       0.002440264  0.6486486 2.538583    24
## [70]  {chicken,                                                                             
##        hamburger meat}           => {other vegetables} 0.002440264  0.6486486 3.352317    24
## [71]  {hamburger meat,                                                                      
##        curd}                     => {other vegetables} 0.002033554  0.6451613 3.334294    20
## [72]  {hamburger meat,                                                                      
##        curd}                     => {whole milk}       0.002541942  0.8064516 3.156169    25
## [73]  {pork,                                                                                
##        hamburger meat}           => {other vegetables} 0.002033554  0.6250000 3.230097    20
## [74]  {pork,                                                                                
##        hamburger meat}           => {whole milk}       0.002135231  0.6562500 2.568332    21
## [75]  {frankfurter,                                                                         
##        hamburger meat}           => {whole milk}       0.002236909  0.6666667 2.609099    22
## [76]  {hamburger meat,                                                                      
##        butter}                   => {whole milk}       0.003050330  0.6976744 2.730453    30
## [77]  {hamburger meat,                                                                      
##        domestic eggs}            => {whole milk}       0.002541942  0.6250000 2.446031    25
## [78]  {hamburger meat,                                                                      
##        whipped/sour cream}       => {whole milk}       0.002643620  0.6190476 2.422735    26
## [79]  {hamburger meat,                                                                      
##        pip fruit}                => {other vegetables} 0.002948653  0.6590909 3.406284    29
## [80]  {hamburger meat,                                                                      
##        root vegetables}          => {whole milk}       0.003965430  0.6393443 2.502169    39
## [81]  {hamburger meat,                                                                      
##        yogurt}                   => {whole milk}       0.003965430  0.6093750 2.384880    39
## [82]  {butter,                                                                              
##        hygiene articles}         => {whole milk}       0.003050330  0.6976744 2.730453    30
## [83]  {pip fruit,                                                                           
##        hygiene articles}         => {whole milk}       0.003050330  0.6382979 2.498074    30
## [84]  {tropical fruit,                                                                      
##        hygiene articles}         => {whole milk}       0.004067107  0.6060606 2.371909    40
## [85]  {root vegetables,                                                                     
##        hygiene articles}         => {whole milk}       0.003558719  0.6603774 2.584485    35
## [86]  {salty snack,                                                                         
##        long life bakery product} => {whole milk}       0.002033554  0.6060606 2.371909    20
## [87]  {cream cheese ,                                                                       
##        sugar}                    => {whole milk}       0.002033554  0.7407407 2.898999    20
## [88]  {frozen vegetables,                                                                   
##        sugar}                    => {other vegetables} 0.002033554  0.6451613 3.334294    20
## [89]  {curd,                                                                                
##        sugar}                    => {whole milk}       0.002338587  0.6764706 2.647468    23
## [90]  {sugar,                                                                               
##        napkins}                  => {whole milk}       0.002033554  0.6060606 2.371909    20
## [91]  {butter,                                                                              
##        sugar}                    => {whole milk}       0.002135231  0.6774194 2.651182    21
## [92]  {domestic eggs,                                                                       
##        sugar}                    => {whole milk}       0.003558719  0.7142857 2.795464    35
## [93]  {whipped/sour cream,                                                                  
##        sugar}                    => {whole milk}       0.003152008  0.6458333 2.527565    31
## [94]  {pork,                                                                                
##        waffles}                  => {other vegetables} 0.002135231  0.6176471 3.192096    21
## [95]  {whipped/sour cream,                                                                  
##        waffles}                  => {whole milk}       0.003152008  0.6200000 2.426462    31
## [96]  {root vegetables,                                                                     
##        long life bakery product} => {other vegetables} 0.003355363  0.6346154 3.279791    33
## [97]  {frankfurter,                                                                         
##        cream cheese }            => {whole milk}       0.002135231  0.6363636 2.490504    21
## [98]  {butter,                                                                              
##        cream cheese }            => {whole milk}       0.002745297  0.6750000 2.641713    27
## [99]  {cream cheese ,                                                                       
##        domestic eggs}            => {whole milk}       0.003457041  0.6800000 2.661281    34
## [100] {whipped/sour cream,                                                                  
##        cream cheese }            => {whole milk}       0.003965430  0.6190476 2.422735    39
## [101] {pip fruit,                                                                           
##        cream cheese }            => {whole milk}       0.003965430  0.6500000 2.543872    39
## [102] {chicken,                                                                             
##        curd}                     => {whole milk}       0.002236909  0.6470588 2.532361    22
## [103] {chicken,                                                                             
##        domestic eggs}            => {whole milk}       0.003965430  0.6393443 2.502169    39
## [104] {curd,                                                                                
##        white bread}              => {whole milk}       0.002135231  0.6176471 2.417254    21
## [105] {white bread,                                                                         
##        napkins}                  => {whole milk}       0.002338587  0.6764706 2.647468    23
## [106] {white bread,                                                                         
##        margarine}                => {whole milk}       0.002541942  0.6756757 2.644357    25
## [107] {whipped/sour cream,                                                                  
##        white bread}              => {other vegetables} 0.003355363  0.6111111 3.158317    33
## [108] {beef,                                                                                
##        coffee}                   => {whole milk}       0.002338587  0.6216216 2.432809    23
## [109] {coffee,                                                                              
##        napkins}                  => {whole milk}       0.002440264  0.6000000 2.348189    24
## [110] {butter,                                                                              
##        coffee}                   => {whole milk}       0.003355363  0.7021277 2.747881    33
## [111] {curd,                                                                                
##        frozen vegetables}        => {whole milk}       0.002846975  0.6363636 2.490504    28
## [112] {frankfurter,                                                                         
##        beef}                     => {whole milk}       0.002948653  0.6170213 2.414805    29
## [113] {beef,                                                                                
##        butter}                   => {whole milk}       0.003660397  0.6315789 2.471778    36
## [114] {beef,                                                                                
##        domestic eggs}            => {whole milk}       0.003762074  0.6271186 2.454322    37
## [115] {beef,                                                                                
##        pip fruit}                => {whole milk}       0.002948653  0.6041667 2.364496    29
## [116] {beef,                                                                                
##        tropical fruit}           => {whole milk}       0.004575496  0.6000000 2.348189    45
## [117] {butter,                                                                              
##        curd}                     => {whole milk}       0.004880529  0.7164179 2.803808    48
## [118] {curd,                                                                                
##        domestic eggs}            => {whole milk}       0.004778851  0.7343750 2.874086    47
## [119] {pip fruit,                                                                           
##        curd}                     => {whole milk}       0.004880529  0.6233766 2.439677    48
## [120] {tropical fruit,                                                                      
##        curd}                     => {whole milk}       0.006507372  0.6336634 2.479936    64
## [121] {butter,                                                                              
##        napkins}                  => {whole milk}       0.003152008  0.6326531 2.475982    31
## [122] {pork,                                                                                
##        butter}                   => {whole milk}       0.003863752  0.7037037 2.754049    38
## [123] {pork,                                                                                
##        domestic eggs}            => {whole milk}       0.003457041  0.6181818 2.419347    34
## [124] {pork,                                                                                
##        pip fruit}                => {other vegetables} 0.003762074  0.6166667 3.187029    37
## [125] {domestic eggs,                                                                       
##        bottled beer}             => {whole milk}       0.002948653  0.6304348 2.467300    29
## [126] {whipped/sour cream,                                                                  
##        brown bread}              => {other vegetables} 0.003050330  0.6521739 3.370536    30
## [127] {domestic eggs,                                                                       
##        margarine}                => {whole milk}       0.005185562  0.6219512 2.434099    51
## [128] {butter,                                                                              
##        domestic eggs}            => {whole milk}       0.005998983  0.6210526 2.430582    59
## [129] {butter,                                                                              
##        whipped/sour cream}       => {whole milk}       0.006710727  0.6600000 2.583008    66
## [130] {pip fruit,                                                                           
##        butter}                   => {whole milk}       0.004473818  0.6111111 2.391674    44
## [131] {butter,                                                                              
##        bottled water}            => {whole milk}       0.005388917  0.6022727 2.357084    53
## [132] {tropical fruit,                                                                      
##        butter}                   => {whole milk}       0.006202339  0.6224490 2.436047    61
## [133] {root vegetables,                                                                     
##        butter}                   => {whole milk}       0.008235892  0.6377953 2.496107    81
## [134] {butter,                                                                              
##        yogurt}                   => {whole milk}       0.009354347  0.6388889 2.500387    92
## [135] {pip fruit,                                                                           
##        domestic eggs}            => {whole milk}       0.005388917  0.6235294 2.440275    53
## [136] {tropical fruit,                                                                      
##        domestic eggs}            => {whole milk}       0.006914082  0.6071429 2.376144    68
## [137] {pip fruit,                                                                           
##        whipped/sour cream}       => {other vegetables} 0.005592272  0.6043956 3.123610    55
## [138] {pip fruit,                                                                           
##        whipped/sour cream}       => {whole milk}       0.005998983  0.6483516 2.537421    59
## [139] {root vegetables,                                                                     
##        herbs,                                                                               
##        other vegetables}         => {whole milk}       0.002440264  0.6315789 2.471778    24
## [140] {herbs,                                                                               
##        other vegetables,                                                                    
##        whole milk}               => {root vegetables}  0.002440264  0.6000000 5.504664    24
## [141] {tropical fruit,                                                                      
##        grapes,                                                                              
##        whole milk}               => {other vegetables} 0.002033554  0.8000000 4.134524    20
## [142] {root vegetables,                                                                     
##        other vegetables,                                                                    
##        hard cheese}              => {whole milk}       0.002135231  0.6176471 2.417254    21
## [143] {root vegetables,                                                                     
##        whole milk,                                                                          
##        hard cheese}              => {other vegetables} 0.002135231  0.6562500 3.391602    21
## [144] {other vegetables,                                                                    
##        yogurt,                                                                              
##        hard cheese}              => {whole milk}       0.002033554  0.7142857 2.795464    20
## [145] {ham,                                                                                 
##        other vegetables,                                                                    
##        yogurt}                   => {whole milk}       0.002033554  0.6666667 2.609099    20
## [146] {root vegetables,                                                                     
##        other vegetables,                                                                    
##        sliced cheese}            => {whole milk}       0.002440264  0.6486486 2.538583    24
## [147] {root vegetables,                                                                     
##        whole milk,                                                                          
##        sliced cheese}            => {other vegetables} 0.002440264  0.7741935 4.001153    24
## [148] {root vegetables,                                                                     
##        other vegetables,                                                                    
##        oil}                      => {whole milk}       0.002643620  0.6842105 2.677760    26
## [149] {other vegetables,                                                                    
##        yogurt,                                                                              
##        oil}                      => {whole milk}       0.002236909  0.6875000 2.690634    22
## [150] {whole milk,                                                                          
##        yogurt,                                                                              
##        oil}                      => {other vegetables} 0.002236909  0.7096774 3.667723    22
## [151] {onions,                                                                              
##        other vegetables,                                                                    
##        whipped/sour cream}       => {whole milk}       0.002135231  0.6774194 2.651182    21
## [152] {onions,                                                                              
##        whole milk,                                                                          
##        whipped/sour cream}       => {other vegetables} 0.002135231  0.7777778 4.019677    21
## [153] {root vegetables,                                                                     
##        onions,                                                                              
##        whole milk}               => {other vegetables} 0.003253686  0.6808511 3.518744    32
## [154] {onions,                                                                              
##        other vegetables,                                                                    
##        yogurt}                   => {whole milk}       0.002440264  0.6315789 2.471778    24
## [155] {onions,                                                                              
##        whole milk,                                                                          
##        yogurt}                   => {other vegetables} 0.002440264  0.6315789 3.264098    24
## [156] {other vegetables,                                                                    
##        yogurt,                                                                              
##        hygiene articles}         => {whole milk}       0.002135231  0.7500000 2.935237    21
## [157] {root vegetables,                                                                     
##        other vegetables,                                                                    
##        waffles}                  => {whole milk}       0.002033554  0.6250000 2.446031    20
## [158] {other vegetables,                                                                    
##        yogurt,                                                                              
##        long life bakery product} => {whole milk}       0.002643620  0.7222222 2.826524    26
## [159] {yogurt,                                                                              
##        whipped/sour cream,                                                                  
##        cream cheese }            => {whole milk}       0.002338587  0.6969697 2.727695    23
## [160] {other vegetables,                                                                    
##        whipped/sour cream,                                                                  
##        cream cheese }            => {whole milk}       0.002338587  0.6969697 2.727695    23
## [161] {root vegetables,                                                                     
##        yogurt,                                                                              
##        cream cheese }            => {whole milk}       0.002338587  0.6216216 2.432809    23
## [162] {root vegetables,                                                                     
##        whole milk,                                                                          
##        cream cheese }            => {other vegetables} 0.002440264  0.6153846 3.180403    24
## [163] {other vegetables,                                                                    
##        yogurt,                                                                              
##        cream cheese }            => {whole milk}       0.003457041  0.6538462 2.558924    34
## [164] {chicken,                                                                             
##        other vegetables,                                                                    
##        domestic eggs}            => {whole milk}       0.002440264  0.7272727 2.846290    24
## [165] {chicken,                                                                             
##        whole milk,                                                                          
##        domestic eggs}            => {other vegetables} 0.002440264  0.6153846 3.180403    24
## [166] {chicken,                                                                             
##        other vegetables,                                                                    
##        whipped/sour cream}       => {whole milk}       0.002338587  0.6052632 2.368788    23
## [167] {chicken,                                                                             
##        whole milk,                                                                          
##        yogurt}                   => {other vegetables} 0.002541942  0.6410256 3.312920    25
## [168] {tropical fruit,                                                                      
##        yogurt,                                                                              
##        white bread}              => {whole milk}       0.002033554  0.7142857 2.795464    20
## [169] {other vegetables,                                                                    
##        whipped/sour cream,                                                                  
##        coffee}                   => {whole milk}       0.002033554  0.7142857 2.795464    20
## [170] {other vegetables,                                                                    
##        yogurt,                                                                              
##        coffee}                   => {whole milk}       0.002236909  0.6285714 2.460008    22
## [171] {yogurt,                                                                              
##        frozen vegetables,                                                                   
##        fruit/vegetable juice}    => {whole milk}       0.002135231  0.6774194 2.651182    21
## [172] {yogurt,                                                                              
##        whipped/sour cream,                                                                  
##        frozen vegetables}        => {other vegetables} 0.002236909  0.6666667 3.445437    22
## [173] {other vegetables,                                                                    
##        whipped/sour cream,                                                                  
##        frozen vegetables}        => {whole milk}       0.002440264  0.6153846 2.408399    24
## [174] {whole milk,                                                                          
##        whipped/sour cream,                                                                  
##        frozen vegetables}        => {other vegetables} 0.002440264  0.6315789 3.264098    24
## [175] {citrus fruit,                                                                        
##        root vegetables,                                                                     
##        frozen vegetables}        => {other vegetables} 0.002033554  0.7692308 3.975504    20
## [176] {citrus fruit,                                                                        
##        other vegetables,                                                                    
##        frozen vegetables}        => {root vegetables}  0.002033554  0.6250000 5.734025    20
## [177] {citrus fruit,                                                                        
##        other vegetables,                                                                    
##        frozen vegetables}        => {whole milk}       0.002033554  0.6250000 2.446031    20
## [178] {tropical fruit,                                                                      
##        root vegetables,                                                                     
##        frozen vegetables}        => {whole milk}       0.002338587  0.7666667 3.000464    23
## [179] {tropical fruit,                                                                      
##        yogurt,                                                                              
##        frozen vegetables}        => {other vegetables} 0.002033554  0.6060606 3.132215    20
## [180] {root vegetables,                                                                     
##        other vegetables,                                                                    
##        frozen vegetables}        => {whole milk}       0.003863752  0.6333333 2.478644    38
## [181] {root vegetables,                                                                     
##        whole milk,                                                                          
##        frozen vegetables}        => {other vegetables} 0.003863752  0.6229508 3.219507    38
## [182] {other vegetables,                                                                    
##        yogurt,                                                                              
##        frozen vegetables}        => {whole milk}       0.003558719  0.6730769 2.634187    35
## [183] {beef,                                                                                
##        root vegetables,                                                                     
##        butter}                   => {whole milk}       0.002033554  0.6896552 2.699068    20
## [184] {beef,                                                                                
##        other vegetables,                                                                    
##        domestic eggs}            => {whole milk}       0.002541942  0.7575758 2.964886    25
## [185] {beef,                                                                                
##        whole milk,                                                                          
##        domestic eggs}            => {other vegetables} 0.002541942  0.6756757 3.491997    25
## [186] {beef,                                                                                
##        whole milk,                                                                          
##        whipped/sour cream}       => {other vegetables} 0.002135231  0.6176471 3.192096    21
## [187] {beef,                                                                                
##        citrus fruit,                                                                        
##        other vegetables}         => {root vegetables}  0.002135231  0.6363636 5.838280    21
## [188] {beef,                                                                                
##        citrus fruit,                                                                        
##        other vegetables}         => {whole milk}       0.002135231  0.6363636 2.490504    21
## [189] {beef,                                                                                
##        tropical fruit,                                                                      
##        root vegetables}          => {other vegetables} 0.002745297  0.7297297 3.771357    27
## [190] {beef,                                                                                
##        tropical fruit,                                                                      
##        other vegetables}         => {root vegetables}  0.002745297  0.6136364 5.629770    27
## [191] {beef,                                                                                
##        tropical fruit,                                                                      
##        root vegetables}          => {whole milk}       0.002541942  0.6756757 2.644357    25
## [192] {beef,                                                                                
##        tropical fruit,                                                                      
##        rolls/buns}               => {whole milk}       0.002135231  0.7777778 3.043949    21
## [193] {beef,                                                                                
##        tropical fruit,                                                                      
##        other vegetables}         => {whole milk}       0.002948653  0.6590909 2.579450    29
## [194] {beef,                                                                                
##        tropical fruit,                                                                      
##        whole milk}               => {other vegetables} 0.002948653  0.6444444 3.330589    29
## [195] {butter,                                                                              
##        curd,                                                                                
##        yogurt}                   => {whole milk}       0.002338587  0.7931034 3.103929    23
## [196] {other vegetables,                                                                    
##        butter,                                                                              
##        curd}                     => {whole milk}       0.002236909  0.7333333 2.870009    22
## [197] {curd,                                                                                
##        yogurt,                                                                              
##        domestic eggs}            => {whole milk}       0.002033554  0.7407407 2.898999    20
## [198] {other vegetables,                                                                    
##        curd,                                                                                
##        domestic eggs}            => {whole milk}       0.002846975  0.8235294 3.223005    28
## [199] {tropical fruit,                                                                      
##        curd,                                                                                
##        whipped/sour cream}       => {whole milk}       0.002033554  0.7142857 2.795464    20
## [200] {curd,                                                                                
##        yogurt,                                                                              
##        whipped/sour cream}       => {whole milk}       0.002745297  0.6000000 2.348189    27
## [201] {pip fruit,                                                                           
##        curd,                                                                                
##        yogurt}                   => {whole milk}       0.002541942  0.6578947 2.574769    25
## [202] {pip fruit,                                                                           
##        other vegetables,                                                                    
##        curd}                     => {whole milk}       0.002236909  0.6666667 2.609099    22
## [203] {curd,                                                                                
##        yogurt,                                                                              
##        pastry}                   => {whole milk}       0.002338587  0.7187500 2.812935    23
## [204] {citrus fruit,                                                                        
##        curd,                                                                                
##        yogurt}                   => {whole milk}       0.002135231  0.7000000 2.739554    21
## [205] {tropical fruit,                                                                      
##        root vegetables,                                                                     
##        curd}                     => {other vegetables} 0.002033554  0.6451613 3.334294    20
## [206] {tropical fruit,                                                                      
##        root vegetables,                                                                     
##        curd}                     => {whole milk}       0.002033554  0.6451613 2.524935    20
## [207] {tropical fruit,                                                                      
##        curd,                                                                                
##        yogurt}                   => {whole milk}       0.003965430  0.7500000 2.935237    39
## [208] {tropical fruit,                                                                      
##        whole milk,                                                                          
##        curd}                     => {yogurt}           0.003965430  0.6093750 4.368224    39
## [209] {root vegetables,                                                                     
##        curd,                                                                                
##        yogurt}                   => {whole milk}       0.002948653  0.6304348 2.467300    29
## [210] {curd,                                                                                
##        yogurt,                                                                              
##        rolls/buns}               => {whole milk}       0.002541942  0.7352941 2.877683    25
## [211] {other vegetables,                                                                    
##        curd,                                                                                
##        yogurt}                   => {whole milk}       0.003660397  0.6000000 2.348189    36
## [212] {other vegetables,                                                                    
##        curd,                                                                                
##        rolls/buns}               => {whole milk}       0.002440264  0.6666667 2.609099    24
## [213] {other vegetables,                                                                    
##        whipped/sour cream,                                                                  
##        napkins}                  => {whole milk}       0.002033554  0.6060606 2.371909    20
## [214] {pork,                                                                                
##        other vegetables,                                                                    
##        butter}                   => {whole milk}       0.002236909  0.8461538 3.311549    22
## [215] {pork,                                                                                
##        other vegetables,                                                                    
##        domestic eggs}            => {whole milk}       0.002033554  0.6666667 2.609099    20
## [216] {pork,                                                                                
##        other vegetables,                                                                    
##        whipped/sour cream}       => {whole milk}       0.002440264  0.6000000 2.348189    24
## [217] {pork,                                                                                
##        pip fruit,                                                                           
##        other vegetables}         => {whole milk}       0.002338587  0.6216216 2.432809    23
## [218] {pork,                                                                                
##        pip fruit,                                                                           
##        whole milk}               => {other vegetables} 0.002338587  0.7419355 3.834438    23
## [219] {pork,                                                                                
##        root vegetables,                                                                     
##        rolls/buns}               => {whole milk}       0.002033554  0.7142857 2.795464    20
## [220] {frankfurter,                                                                         
##        pip fruit,                                                                           
##        other vegetables}         => {whole milk}       0.002338587  0.6388889 2.500387    23
## [221] {frankfurter,                                                                         
##        pip fruit,                                                                           
##        whole milk}               => {other vegetables} 0.002338587  0.6969697 3.602048    23
## [222] {frankfurter,                                                                         
##        tropical fruit,                                                                      
##        root vegetables}          => {whole milk}       0.002033554  0.7407407 2.898999    20
## [223] {frankfurter,                                                                         
##        tropical fruit,                                                                      
##        yogurt}                   => {whole milk}       0.002135231  0.7241379 2.834022    21
## [224] {frankfurter,                                                                         
##        tropical fruit,                                                                      
##        other vegetables}         => {whole milk}       0.002541942  0.6410256 2.508749    25
## [225] {frankfurter,                                                                         
##        root vegetables,                                                                     
##        yogurt}                   => {whole milk}       0.002338587  0.7187500 2.812935    23
## [226] {other vegetables,                                                                    
##        domestic eggs,                                                                       
##        bottled beer}             => {whole milk}       0.002033554  0.7692308 3.010499    20
## [227] {whole milk,                                                                          
##        domestic eggs,                                                                       
##        bottled beer}             => {other vegetables} 0.002033554  0.6896552 3.564245    20
## [228] {root vegetables,                                                                     
##        whole milk,                                                                          
##        bottled beer}             => {other vegetables} 0.002440264  0.6153846 3.180403    24
## [229] {other vegetables,                                                                    
##        yogurt,                                                                              
##        bottled beer}             => {whole milk}       0.002643620  0.7222222 2.826524    26
## [230] {tropical fruit,                                                                      
##        other vegetables,                                                                    
##        brown bread}              => {whole milk}       0.002643620  0.6341463 2.481826    26
## [231] {root vegetables,                                                                     
##        other vegetables,                                                                    
##        brown bread}              => {whole milk}       0.003152008  0.7750000 3.033078    31
## [232] {yogurt,                                                                              
##        brown bread,                                                                         
##        soda}                     => {whole milk}       0.002033554  0.6451613 2.524935    20
## [233] {other vegetables,                                                                    
##        brown bread,                                                                         
##        soda}                     => {whole milk}       0.002541942  0.6097561 2.386371    25
## [234] {whole milk,                                                                          
##        butter,                                                                              
##        margarine}                => {other vegetables} 0.002033554  0.6666667 3.445437    20
## [235] {other vegetables,                                                                    
##        domestic eggs,                                                                       
##        margarine}                => {whole milk}       0.002440264  0.6153846 2.408399    24
## [236] {other vegetables,                                                                    
##        whipped/sour cream,                                                                  
##        margarine}                => {whole milk}       0.002135231  0.6176471 2.417254    21
## [237] {root vegetables,                                                                     
##        yogurt,                                                                              
##        margarine}                => {whole milk}       0.002135231  0.6176471 2.417254    21
## [238] {root vegetables,                                                                     
##        rolls/buns,                                                                          
##        margarine}                => {whole milk}       0.002033554  0.7142857 2.795464    20
## [239] {root vegetables,                                                                     
##        whole milk,                                                                          
##        margarine}                => {other vegetables} 0.003253686  0.6530612 3.375122    32
## [240] {other vegetables,                                                                    
##        rolls/buns,                                                                          
##        margarine}                => {whole milk}       0.003152008  0.6078431 2.378885    31
## [241] {root vegetables,                                                                     
##        butter,                                                                              
##        domestic eggs}            => {whole milk}       0.002440264  0.7500000 2.935237    24
## [242] {butter,                                                                              
##        yogurt,                                                                              
##        domestic eggs}            => {whole milk}       0.002236909  0.7586207 2.968975    22
## [243] {other vegetables,                                                                    
##        butter,                                                                              
##        domestic eggs}            => {whole milk}       0.003050330  0.6666667 2.609099    30
## [244] {butter,                                                                              
##        yogurt,                                                                              
##        fruit/vegetable juice}    => {whole milk}       0.002135231  0.6000000 2.348189    21
## [245] {tropical fruit,                                                                      
##        butter,                                                                              
##        whipped/sour cream}       => {other vegetables} 0.002338587  0.7666667 3.962253    23
## [246] {tropical fruit,                                                                      
##        butter,                                                                              
##        whipped/sour cream}       => {whole milk}       0.002135231  0.7000000 2.739554    21
## [247] {root vegetables,                                                                     
##        butter,                                                                              
##        whipped/sour cream}       => {other vegetables} 0.002135231  0.6176471 3.192096    21
## [248] {root vegetables,                                                                     
##        butter,                                                                              
##        whipped/sour cream}       => {whole milk}       0.002643620  0.7647059 2.992790    26
## [249] {butter,                                                                              
##        yogurt,                                                                              
##        whipped/sour cream}       => {whole milk}       0.002643620  0.6842105 2.677760    26
## [250] {other vegetables,                                                                    
##        butter,                                                                              
##        whipped/sour cream}       => {whole milk}       0.003965430  0.6842105 2.677760    39
## [251] {pip fruit,                                                                           
##        other vegetables,                                                                    
##        butter}                   => {whole milk}       0.002745297  0.6750000 2.641713    27
## [252] {pip fruit,                                                                           
##        whole milk,                                                                          
##        butter}                   => {other vegetables} 0.002745297  0.6136364 3.171368    27
## [253] {citrus fruit,                                                                        
##        butter,                                                                              
##        yogurt}                   => {whole milk}       0.002033554  0.6666667 2.609099    20
## [254] {citrus fruit,                                                                        
##        other vegetables,                                                                    
##        butter}                   => {whole milk}       0.002948653  0.6444444 2.522129    29
## [255] {sausage,                                                                             
##        other vegetables,                                                                    
##        butter}                   => {whole milk}       0.002338587  0.6052632 2.368788    23
## [256] {root vegetables,                                                                     
##        butter,                                                                              
##        bottled water}            => {whole milk}       0.002440264  0.7272727 2.846290    24
## [257] {other vegetables,                                                                    
##        butter,                                                                              
##        bottled water}            => {whole milk}       0.002643620  0.7222222 2.826524    26
## [258] {tropical fruit,                                                                      
##        root vegetables,                                                                     
##        butter}                   => {other vegetables} 0.002338587  0.6571429 3.396217    23
## [259] {tropical fruit,                                                                      
##        root vegetables,                                                                     
##        butter}                   => {whole milk}       0.002440264  0.6857143 2.683645    24
## [260] {tropical fruit,                                                                      
##        butter,                                                                              
##        yogurt}                   => {other vegetables} 0.003050330  0.6666667 3.445437    30
## [261] {tropical fruit,                                                                      
##        butter,                                                                              
##        yogurt}                   => {whole milk}       0.003355363  0.7333333 2.870009    33
## [262] {tropical fruit,                                                                      
##        other vegetables,                                                                    
##        butter}                   => {whole milk}       0.003355363  0.6111111 2.391674    33
## [263] {root vegetables,                                                                     
##        butter,                                                                              
##        yogurt}                   => {whole milk}       0.003050330  0.7894737 3.089723    30
## [264] {root vegetables,                                                                     
##        butter,                                                                              
##        rolls/buns}               => {other vegetables} 0.002440264  0.6315789 3.264098    24
## [265] {root vegetables,                                                                     
##        butter,                                                                              
##        rolls/buns}               => {whole milk}       0.002338587  0.6052632 2.368788    23
## [266] {root vegetables,                                                                     
##        other vegetables,                                                                    
##        butter}                   => {whole milk}       0.004168785  0.6307692 2.468609    41
## [267] {other vegetables,                                                                    
##        butter,                                                                              
##        yogurt}                   => {whole milk}       0.004372140  0.6825397 2.671221    43
## [268] {citrus fruit,                                                                        
##        whole milk,                                                                          
##        newspapers}               => {other vegetables} 0.002033554  0.6060606 3.132215    20
## [269] {other vegetables,                                                                    
##        domestic eggs,                                                                       
##        fruit/vegetable juice}    => {whole milk}       0.002135231  0.6176471 2.417254    21
## [270] {root vegetables,                                                                     
##        whipped/sour cream,                                                                  
##        domestic eggs}            => {whole milk}       0.002033554  0.6060606 2.371909    20
## [271] {yogurt,                                                                              
##        whipped/sour cream,                                                                  
##        domestic eggs}            => {whole milk}       0.002236909  0.6285714 2.460008    22
## [272] {other vegetables,                                                                    
##        whipped/sour cream,                                                                  
##        domestic eggs}            => {whole milk}       0.003558719  0.7000000 2.739554    35
## [273] {whole milk,                                                                          
##        whipped/sour cream,                                                                  
##        domestic eggs}            => {other vegetables} 0.003558719  0.6250000 3.230097    35
## [274] {pip fruit,                                                                           
##        other vegetables,                                                                    
##        domestic eggs}            => {whole milk}       0.002643620  0.6666667 2.609099    26
## [275] {citrus fruit,                                                                        
##        other vegetables,                                                                    
##        domestic eggs}            => {whole milk}       0.002846975  0.6363636 2.490504    28
## [276] {tropical fruit,                                                                      
##        root vegetables,                                                                     
##        domestic eggs}            => {whole milk}       0.002745297  0.7714286 3.019101    27
## [277] {tropical fruit,                                                                      
##        yogurt,                                                                              
##        domestic eggs}            => {whole milk}       0.002948653  0.6904762 2.702281    29
## [278] {tropical fruit,                                                                      
##        other vegetables,                                                                    
##        domestic eggs}            => {whole milk}       0.003050330  0.6382979 2.498074    30
## [279] {root vegetables,                                                                     
##        yogurt,                                                                              
##        domestic eggs}            => {whole milk}       0.002541942  0.6944444 2.717812    25
## [280] {root vegetables,                                                                     
##        other vegetables,                                                                    
##        domestic eggs}            => {whole milk}       0.004575496  0.6250000 2.446031    45
## [281] {yogurt,                                                                              
##        whipped/sour cream,                                                                  
##        fruit/vegetable juice}    => {other vegetables} 0.002338587  0.6052632 3.128094    23
## [282] {pip fruit,                                                                           
##        yogurt,                                                                              
##        fruit/vegetable juice}    => {other vegetables} 0.002236909  0.6285714 3.248555    22
## [283] {pip fruit,                                                                           
##        yogurt,                                                                              
##        fruit/vegetable juice}    => {whole milk}       0.002338587  0.6571429 2.571827    23
## [284] {citrus fruit,                                                                        
##        root vegetables,                                                                     
##        fruit/vegetable juice}    => {other vegetables} 0.002338587  0.6764706 3.496105    23
## [285] {tropical fruit,                                                                      
##        root vegetables,                                                                     
##        fruit/vegetable juice}    => {other vegetables} 0.002541942  0.7812500 4.037622    25
## [286] {root vegetables,                                                                     
##        yogurt,                                                                              
##        fruit/vegetable juice}    => {other vegetables} 0.002440264  0.7058824 3.648110    24
## [287] {root vegetables,                                                                     
##        yogurt,                                                                              
##        fruit/vegetable juice}    => {whole milk}       0.002541942  0.7352941 2.877683    25
## [288] {root vegetables,                                                                     
##        other vegetables,                                                                    
##        fruit/vegetable juice}    => {whole milk}       0.003965430  0.6000000 2.348189    39
## [289] {root vegetables,                                                                     
##        whole milk,                                                                          
##        fruit/vegetable juice}    => {other vegetables} 0.003965430  0.6093750 3.149345    39
## [290] {other vegetables,                                                                    
##        soda,                                                                                
##        fruit/vegetable juice}    => {whole milk}       0.002745297  0.6136364 2.401557    27
## [291] {other vegetables,                                                                    
##        yogurt,                                                                              
##        fruit/vegetable juice}    => {whole milk}       0.005083884  0.6172840 2.415833    50
## [292] {tropical fruit,                                                                      
##        pip fruit,                                                                           
##        whipped/sour cream}       => {other vegetables} 0.002745297  0.7297297 3.771357    27
## [293] {pip fruit,                                                                           
##        root vegetables,                                                                     
##        whipped/sour cream}       => {other vegetables} 0.002033554  0.6666667 3.445437    20
## [294] {pip fruit,                                                                           
##        root vegetables,                                                                     
##        whipped/sour cream}       => {whole milk}       0.002338587  0.7666667 3.000464    23
## [295] {pip fruit,                                                                           
##        yogurt,                                                                              
##        whipped/sour cream}       => {other vegetables} 0.002236909  0.6111111 3.158317    22
## [296] {pip fruit,                                                                           
##        yogurt,                                                                              
##        whipped/sour cream}       => {whole milk}       0.002440264  0.6666667 2.609099    24
## [297] {pip fruit,                                                                           
##        other vegetables,                                                                    
##        whipped/sour cream}       => {whole milk}       0.003660397  0.6545455 2.561661    36
## [298] {pip fruit,                                                                           
##        whole milk,                                                                          
##        whipped/sour cream}       => {other vegetables} 0.003660397  0.6101695 3.153451    36
## [299] {citrus fruit,                                                                        
##        tropical fruit,                                                                      
##        whipped/sour cream}       => {other vegetables} 0.002135231  0.6774194 3.501009    21
## [300] {citrus fruit,                                                                        
##        tropical fruit,                                                                      
##        whipped/sour cream}       => {whole milk}       0.002338587  0.7419355 2.903675    23
## [301] {citrus fruit,                                                                        
##        root vegetables,                                                                     
##        whipped/sour cream}       => {other vegetables} 0.002338587  0.6969697 3.602048    23
## [302] {citrus fruit,                                                                        
##        root vegetables,                                                                     
##        whipped/sour cream}       => {whole milk}       0.002033554  0.6060606 2.371909    20
## [303] {citrus fruit,                                                                        
##        yogurt,                                                                              
##        whipped/sour cream}       => {whole milk}       0.002745297  0.6000000 2.348189    27
## [304] {citrus fruit,                                                                        
##        whipped/sour cream,                                                                  
##        rolls/buns}               => {whole milk}       0.002033554  0.7142857 2.795464    20
## [305] {citrus fruit,                                                                        
##        other vegetables,                                                                    
##        whipped/sour cream}       => {whole milk}       0.003660397  0.6428571 2.515917    36
## [306] {sausage,                                                                             
##        other vegetables,                                                                    
##        whipped/sour cream}       => {whole milk}       0.002948653  0.6041667 2.364496    29
## [307] {tropical fruit,                                                                      
##        root vegetables,                                                                     
##        whipped/sour cream}       => {other vegetables} 0.003355363  0.7333333 3.789981    33
## [308] {tropical fruit,                                                                      
##        root vegetables,                                                                     
##        whipped/sour cream}       => {whole milk}       0.002745297  0.6000000 2.348189    27
## [309] {tropical fruit,                                                                      
##        whipped/sour cream,                                                                  
##        rolls/buns}               => {yogurt}           0.002135231  0.6176471 4.427521    21
## [310] {tropical fruit,                                                                      
##        yogurt,                                                                              
##        whipped/sour cream}       => {whole milk}       0.004372140  0.7049180 2.758802    43
## [311] {tropical fruit,                                                                      
##        whipped/sour cream,                                                                  
##        rolls/buns}               => {whole milk}       0.002135231  0.6176471 2.417254    21
## [312] {root vegetables,                                                                     
##        whipped/sour cream,                                                                  
##        rolls/buns}               => {whole milk}       0.002846975  0.6511628 2.548423    28
## [313] {root vegetables,                                                                     
##        other vegetables,                                                                    
##        whipped/sour cream}       => {whole milk}       0.005185562  0.6071429 2.376144    51
## [314] {yogurt,                                                                              
##        whipped/sour cream,                                                                  
##        rolls/buns}               => {whole milk}       0.003050330  0.6382979 2.498074    30
## [315] {pip fruit,                                                                           
##        yogurt,                                                                              
##        pastry}                   => {whole milk}       0.002135231  0.6000000 2.348189    21
## [316] {citrus fruit,                                                                        
##        pip fruit,                                                                           
##        root vegetables}          => {other vegetables} 0.002643620  0.6842105 3.536106    26
## [317] {citrus fruit,                                                                        
##        pip fruit,                                                                           
##        root vegetables}          => {whole milk}       0.002338587  0.6052632 2.368788    23
## [318] {pip fruit,                                                                           
##        other vegetables,                                                                    
##        bottled water}            => {whole milk}       0.002033554  0.6666667 2.609099    20
## [319] {tropical fruit,                                                                      
##        pip fruit,                                                                           
##        root vegetables}          => {other vegetables} 0.003355363  0.6346154 3.279791    33
## [320] {pip fruit,                                                                           
##        root vegetables,                                                                     
##        yogurt}                   => {whole milk}       0.003558719  0.6730769 2.634187    35
## [321] {pip fruit,                                                                           
##        root vegetables,                                                                     
##        other vegetables}         => {whole milk}       0.005490595  0.6750000 2.641713    54
## [322] {pip fruit,                                                                           
##        root vegetables,                                                                     
##        whole milk}               => {other vegetables} 0.005490595  0.6136364 3.171368    54
## [323] {pip fruit,                                                                           
##        other vegetables,                                                                    
##        yogurt}                   => {whole milk}       0.005083884  0.6250000 2.446031    50
## [324] {citrus fruit,                                                                        
##        rolls/buns,                                                                          
##        pastry}                   => {whole milk}       0.002033554  0.6666667 2.609099    20
## [325] {tropical fruit,                                                                      
##        yogurt,                                                                              
##        pastry}                   => {whole milk}       0.003050330  0.6521739 2.552380    30
## [326] {root vegetables,                                                                     
##        yogurt,                                                                              
##        pastry}                   => {whole milk}       0.002541942  0.6756757 2.644357    25
## [327] {other vegetables,                                                                    
##        yogurt,                                                                              
##        pastry}                   => {whole milk}       0.004067107  0.6153846 2.408399    40
## [328] {citrus fruit,                                                                        
##        root vegetables,                                                                     
##        bottled water}            => {whole milk}       0.002033554  0.6060606 2.371909    20
## [329] {citrus fruit,                                                                        
##        tropical fruit,                                                                      
##        root vegetables}          => {other vegetables} 0.004473818  0.7857143 4.060694    44
## [330] {citrus fruit,                                                                        
##        tropical fruit,                                                                      
##        root vegetables}          => {whole milk}       0.003558719  0.6250000 2.446031    35
## [331] {citrus fruit,                                                                        
##        tropical fruit,                                                                      
##        yogurt}                   => {whole milk}       0.003863752  0.6129032 2.398688    38
## [332] {citrus fruit,                                                                        
##        root vegetables,                                                                     
##        soda}                     => {other vegetables} 0.002135231  0.7000000 3.617709    21
## [333] {citrus fruit,                                                                        
##        root vegetables,                                                                     
##        yogurt}                   => {whole milk}       0.003152008  0.6458333 2.527565    31
## [334] {citrus fruit,                                                                        
##        root vegetables,                                                                     
##        rolls/buns}               => {other vegetables} 0.002236909  0.6470588 3.344101    22
## [335] {citrus fruit,                                                                        
##        root vegetables,                                                                     
##        whole milk}               => {other vegetables} 0.005795628  0.6333333 3.273165    57
## [336] {citrus fruit,                                                                        
##        other vegetables,                                                                    
##        yogurt}                   => {whole milk}       0.004778851  0.6266667 2.452553    47
## [337] {root vegetables,                                                                     
##        yogurt,                                                                              
##        shopping bags}            => {other vegetables} 0.002135231  0.7241379 3.742457    21
## [338] {sausage,                                                                             
##        tropical fruit,                                                                      
##        root vegetables}          => {whole milk}       0.002745297  0.7714286 3.019101    27
## [339] {sausage,                                                                             
##        tropical fruit,                                                                      
##        yogurt}                   => {whole milk}       0.003152008  0.6739130 2.637459    31
## [340] {sausage,                                                                             
##        root vegetables,                                                                     
##        yogurt}                   => {whole milk}       0.003253686  0.6274510 2.455623    32
## [341] {root vegetables,                                                                     
##        yogurt,                                                                              
##        bottled water}            => {whole milk}       0.002338587  0.6052632 2.368788    23
## [342] {tropical fruit,                                                                      
##        root vegetables,                                                                     
##        soda}                     => {other vegetables} 0.002338587  0.6216216 3.212637    23
## [343] {tropical fruit,                                                                      
##        root vegetables,                                                                     
##        yogurt}                   => {other vegetables} 0.004982206  0.6125000 3.165495    49
## [344] {tropical fruit,                                                                      
##        root vegetables,                                                                     
##        yogurt}                   => {whole milk}       0.005693950  0.7000000 2.739554    56
## [345] {tropical fruit,                                                                      
##        root vegetables,                                                                     
##        rolls/buns}               => {other vegetables} 0.003558719  0.6034483 3.118715    35
## [346] {tropical fruit,                                                                      
##        root vegetables,                                                                     
##        rolls/buns}               => {whole milk}       0.003762074  0.6379310 2.496638    37
## [347] {tropical fruit,                                                                      
##        other vegetables,                                                                    
##        yogurt}                   => {whole milk}       0.007625826  0.6198347 2.425816    75
## [348] {root vegetables,                                                                     
##        yogurt,                                                                              
##        rolls/buns}               => {whole milk}       0.004677173  0.6478873 2.535604    46
## [349] {root vegetables,                                                                     
##        other vegetables,                                                                    
##        yogurt}                   => {whole milk}       0.007829181  0.6062992 2.372842    77
plot(rules)
## To reduce overplotting, jitter is added! Use jitter = 0 to prevent jitter.

head(quality(rules))
##       support confidence     lift count
## 1 0.003660397  0.6428571 2.515917    36
## 2 0.004677173  0.6133333 2.400371    46
## 3 0.002033554  0.7142857 2.795464    20
## 4 0.002236909  0.7096774 3.667723    22
## 5 0.002440264  0.7741935 3.029922    24
## 6 0.002643620  0.6666667 2.609099    26
plot(rules, method = "grouped")

plot(head(sort(rules, by = "lift"), n=10), method = "grouped")

plot(head(sort(rules, by = "lift"), n=10), method = "graph", control=list(cex=.92))