Association Rule Mining
A store is always trying to figure out which items do customers by frequently together. That way, they can either put them close together to make it convenient, put the items on opposite ends of the store to make the customers pass by the most amount of merchandise possible, or any other scheme to help raise revenue. Association Rule Mining tries to find those grouped items. It does this through a series of calculating the probabilites of any two items together, and then moving on a group of 3, of 4, of 5, etc., as long as the items in a group - as well as the group itself - all have probability numbers above a preset threshold.
You would commonly analyze the grouping by finding the pairing sets within each grouping number that has the highest confidence, support, and or lift, which are all types of probabilites that give us different insights.
In the analysis below, we will use a preset grocery data given to R.
The following code creates a set of rules based on our given minimum probability values.
data(Groceries)
rules <- apriori(Groceries, parameter = list(supp = .004, conf = .3, minlen=2))## Apriori
##
## Parameter specification:
## confidence minval smax arem aval originalSupport maxtime support minlen
## 0.3 0.1 1 none FALSE TRUE 5 0.004 2
## maxlen target ext
## 10 rules FALSE
##
## Algorithmic control:
## filter tree heap memopt load sort verbose
## 0.1 TRUE TRUE FALSE TRUE 2 TRUE
##
## Absolute minimum support count: 39
##
## set item appearances ...[0 item(s)] done [0.00s].
## set transactions ...[169 item(s), 9835 transaction(s)] done [0.00s].
## sorting and recoding items ... [126 item(s)] done [0.00s].
## creating transaction tree ... done [0.00s].
## checking subsets of size 1 2 3 4 5 done [0.00s].
## writing ... [735 rule(s)] done [0.00s].
## creating S4 object ... done [0.00s].And the output below is a summary of the rules’ attributes. For example, the rule length distribution shows how many sets of items are in each level of groups.
summary(rules)## set of 735 rules
##
## rule length distribution (lhs + rhs):sizes
## 2 3 4
## 121 516 98
##
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 2.000 3.000 3.000 2.969 3.000 4.000
##
## summary of quality measures:
## support confidence lift count
## Min. :0.004067 Min. :0.3000 Min. :1.176 Min. : 40.00
## 1st Qu.:0.004677 1st Qu.:0.3534 1st Qu.:1.802 1st Qu.: 46.00
## Median :0.005796 Median :0.4211 Median :2.139 Median : 57.00
## Mean :0.008004 Mean :0.4339 Mean :2.227 Mean : 78.72
## 3rd Qu.:0.008338 3rd Qu.:0.5010 3rd Qu.:2.531 3rd Qu.: 82.00
## Max. :0.074835 Max. :0.7857 Max. :5.241 Max. :736.00
##
## mining info:
## data ntransactions support confidence
## Groceries 9835 0.004 0.3And the plot that shows us the relationship between the three aforementioned measuring probabilities.
plot(rules)
And the long list of the item sets, sorted by support. The support is the probabilty that the items on the left are bought together out of all other possible combinations. The confidence tells us the probability of buying the item on the right (RHS) given that we are already buying the items on the left. The lift tells us if we gain any information over what is already supposed
inspect(sort(rules, by="support"))## lhs rhs support confidence lift count
## [1] {other vegetables} => {whole milk} 0.074834774 0.3867578 1.513634 736
## [2] {rolls/buns} => {whole milk} 0.056634469 0.3079049 1.205032 557
## [3] {yogurt} => {whole milk} 0.056024403 0.4016035 1.571735 551
## [4] {root vegetables} => {whole milk} 0.048906965 0.4486940 1.756031 481
## [5] {root vegetables} => {other vegetables} 0.047381800 0.4347015 2.246605 466
## [6] {yogurt} => {other vegetables} 0.043416370 0.3112245 1.608457 427
## [7] {tropical fruit} => {whole milk} 0.042297916 0.4031008 1.577595 416
## [8] {tropical fruit} => {other vegetables} 0.035892222 0.3420543 1.767790 353
## [9] {bottled water} => {whole milk} 0.034367056 0.3109476 1.216940 338
## [10] {pastry} => {whole milk} 0.033248602 0.3737143 1.462587 327
## [11] {whipped/sour cream} => {whole milk} 0.032231825 0.4496454 1.759754 317
## [12] {sausage} => {rolls/buns} 0.030604982 0.3257576 1.771048 301
## [13] {citrus fruit} => {whole milk} 0.030503305 0.3685504 1.442377 300
## [14] {pip fruit} => {whole milk} 0.030096594 0.3978495 1.557043 296
## [15] {domestic eggs} => {whole milk} 0.029994916 0.4727564 1.850203 295
## [16] {sausage} => {whole milk} 0.029893238 0.3181818 1.245252 294
## [17] {whipped/sour cream} => {other vegetables} 0.028876462 0.4028369 2.081924 284
## [18] {citrus fruit} => {other vegetables} 0.028876462 0.3488943 1.803140 284
## [19] {butter} => {whole milk} 0.027554652 0.4972477 1.946053 271
## [20] {newspapers} => {whole milk} 0.027351296 0.3426752 1.341110 269
## [21] {fruit/vegetable juice} => {whole milk} 0.026639553 0.3684951 1.442160 262
## [22] {curd} => {whole milk} 0.026131164 0.4904580 1.919481 257
## [23] {pip fruit} => {other vegetables} 0.026131164 0.3454301 1.785237 257
## [24] {brown bread} => {whole milk} 0.025216065 0.3887147 1.521293 248
## [25] {margarine} => {whole milk} 0.024199288 0.4131944 1.617098 238
## [26] {root vegetables,
## other vegetables} => {whole milk} 0.023182511 0.4892704 1.914833 228
## [27] {root vegetables,
## whole milk} => {other vegetables} 0.023182511 0.4740125 2.449770 228
## [28] {other vegetables,
## whole milk} => {root vegetables} 0.023182511 0.3097826 2.842082 228
## [29] {domestic eggs} => {other vegetables} 0.022267412 0.3509615 1.813824 219
## [30] {other vegetables,
## yogurt} => {whole milk} 0.022267412 0.5128806 2.007235 219
## [31] {whole milk,
## yogurt} => {other vegetables} 0.022267412 0.3974592 2.054131 219
## [32] {pork} => {whole milk} 0.022165735 0.3844797 1.504719 218
## [33] {pork} => {other vegetables} 0.021657346 0.3756614 1.941476 213
## [34] {beef} => {whole milk} 0.021250635 0.4050388 1.585180 209
## [35] {frankfurter} => {whole milk} 0.020538892 0.3482759 1.363029 202
## [36] {frozen vegetables} => {whole milk} 0.020437214 0.4249471 1.663094 201
## [37] {butter} => {other vegetables} 0.020030503 0.3614679 1.868122 197
## [38] {beef} => {other vegetables} 0.019725470 0.3759690 1.943066 194
## [39] {napkins} => {whole milk} 0.019725470 0.3766990 1.474268 194
## [40] {margarine} => {other vegetables} 0.019725470 0.3368056 1.740663 194
## [41] {frankfurter} => {rolls/buns} 0.019217082 0.3258621 1.771616 189
## [42] {coffee} => {whole milk} 0.018708693 0.3222417 1.261141 184
## [43] {chicken} => {other vegetables} 0.017895272 0.4170616 2.155439 176
## [44] {other vegetables,
## rolls/buns} => {whole milk} 0.017895272 0.4200477 1.643919 176
## [45] {whole milk,
## rolls/buns} => {other vegetables} 0.017895272 0.3159785 1.633026 176
## [46] {frozen vegetables} => {other vegetables} 0.017793594 0.3699789 1.912108 175
## [47] {chicken} => {whole milk} 0.017590239 0.4099526 1.604411 173
## [48] {beef} => {root vegetables} 0.017386884 0.3313953 3.040367 171
## [49] {curd} => {yogurt} 0.017285206 0.3244275 2.325615 170
## [50] {curd} => {other vegetables} 0.017183528 0.3225191 1.666829 169
## [51] {white bread} => {whole milk} 0.017081851 0.4057971 1.588147 168
## [52] {tropical fruit,
## other vegetables} => {whole milk} 0.017081851 0.4759207 1.862587 168
## [53] {tropical fruit,
## whole milk} => {other vegetables} 0.017081851 0.4038462 2.087140 168
## [54] {chocolate} => {whole milk} 0.016675140 0.3360656 1.315243 164
## [55] {cream cheese } => {whole milk} 0.016471784 0.4153846 1.625670 162
## [56] {yogurt,
## rolls/buns} => {whole milk} 0.015556685 0.4526627 1.771563 153
## [57] {tropical fruit,
## yogurt} => {whole milk} 0.015149975 0.5173611 2.024770 149
## [58] {tropical fruit,
## whole milk} => {yogurt} 0.015149975 0.3581731 2.567516 149
## [59] {sugar} => {whole milk} 0.015048297 0.4444444 1.739400 148
## [60] {hamburger meat} => {whole milk} 0.014743264 0.4434251 1.735410 145
## [61] {other vegetables,
## whipped/sour cream} => {whole milk} 0.014641586 0.5070423 1.984385 144
## [62] {whole milk,
## whipped/sour cream} => {other vegetables} 0.014641586 0.4542587 2.347679 144
## [63] {root vegetables,
## yogurt} => {whole milk} 0.014539908 0.5629921 2.203354 143
## [64] {onions} => {other vegetables} 0.014234875 0.4590164 2.372268 140
## [65] {other vegetables,
## soda} => {whole milk} 0.013929842 0.4254658 1.665124 137
## [66] {whole milk,
## soda} => {other vegetables} 0.013929842 0.3477157 1.797049 137
## [67] {hamburger meat} => {other vegetables} 0.013828165 0.4159021 2.149447 136
## [68] {dessert} => {whole milk} 0.013726487 0.3698630 1.447514 135
## [69] {cream cheese } => {other vegetables} 0.013726487 0.3461538 1.788977 135
## [70] {white bread} => {other vegetables} 0.013726487 0.3260870 1.685268 135
## [71] {long life bakery product} => {whole milk} 0.013523132 0.3614130 1.414444 133
## [72] {pip fruit,
## other vegetables} => {whole milk} 0.013523132 0.5175097 2.025351 133
## [73] {pip fruit,
## whole milk} => {other vegetables} 0.013523132 0.4493243 2.322178 133
## [74] {citrus fruit,
## other vegetables} => {whole milk} 0.013014743 0.4507042 1.763898 128
## [75] {citrus fruit,
## whole milk} => {other vegetables} 0.013014743 0.4266667 2.205080 128
## [76] {root vegetables,
## yogurt} => {other vegetables} 0.012913066 0.5000000 2.584078 127
## [77] {hygiene articles} => {whole milk} 0.012811388 0.3888889 1.521975 126
## [78] {waffles} => {whole milk} 0.012709710 0.3306878 1.294196 125
## [79] {root vegetables,
## rolls/buns} => {whole milk} 0.012709710 0.5230126 2.046888 125
## [80] {cream cheese } => {yogurt} 0.012404677 0.3128205 2.242412 122
## [81] {other vegetables,
## domestic eggs} => {whole milk} 0.012302999 0.5525114 2.162336 121
## [82] {whole milk,
## domestic eggs} => {other vegetables} 0.012302999 0.4101695 2.119820 121
## [83] {tropical fruit,
## root vegetables} => {other vegetables} 0.012302999 0.5845411 3.020999 121
## [84] {tropical fruit,
## other vegetables} => {root vegetables} 0.012302999 0.3427762 3.144780 121
## [85] {tropical fruit,
## yogurt} => {other vegetables} 0.012302999 0.4201389 2.171343 121
## [86] {tropical fruit,
## other vegetables} => {yogurt} 0.012302999 0.3427762 2.457146 121
## [87] {root vegetables,
## rolls/buns} => {other vegetables} 0.012201322 0.5020921 2.594890 120
## [88] {onions} => {whole milk} 0.012099644 0.3901639 1.526965 119
## [89] {tropical fruit,
## root vegetables} => {whole milk} 0.011997966 0.5700483 2.230969 118
## [90] {berries} => {whole milk} 0.011794611 0.3547401 1.388328 116
## [91] {butter milk} => {whole milk} 0.011591256 0.4145455 1.622385 114
## [92] {dessert} => {other vegetables} 0.011591256 0.3123288 1.614164 114
## [93] {ham} => {whole milk} 0.011489578 0.4414062 1.727509 113
## [94] {other vegetables,
## butter} => {whole milk} 0.011489578 0.5736041 2.244885 113
## [95] {whole milk,
## butter} => {other vegetables} 0.011489578 0.4169742 2.154987 113
## [96] {yogurt,
## rolls/buns} => {other vegetables} 0.011489578 0.3343195 1.727815 113
## [97] {oil} => {whole milk} 0.011286223 0.4021739 1.573968 111
## [98] {tropical fruit,
## rolls/buns} => {whole milk} 0.010981190 0.4462810 1.746587 108
## [99] {yogurt,
## whipped/sour cream} => {whole milk} 0.010879512 0.5245098 2.052747 107
## [100] {whole milk,
## whipped/sour cream} => {yogurt} 0.010879512 0.3375394 2.419607 107
## [101] {sliced cheese} => {whole milk} 0.010777834 0.4398340 1.721356 106
## [102] {sugar} => {other vegetables} 0.010777834 0.3183183 1.645119 106
## [103] {other vegetables,
## bottled water} => {whole milk} 0.010777834 0.4344262 1.700192 106
## [104] {whole milk,
## bottled water} => {other vegetables} 0.010777834 0.3136095 1.620783 106
## [105] {berries} => {yogurt} 0.010574479 0.3180428 2.279848 104
## [106] {other vegetables,
## pastry} => {whole milk} 0.010574479 0.4684685 1.833421 104
## [107] {whole milk,
## pastry} => {other vegetables} 0.010574479 0.3180428 1.643695 104
## [108] {other vegetables,
## fruit/vegetable juice} => {whole milk} 0.010472801 0.4975845 1.947371 103
## [109] {whole milk,
## fruit/vegetable juice} => {other vegetables} 0.010472801 0.3931298 2.031756 103
## [110] {yogurt,
## soda} => {whole milk} 0.010472801 0.3828996 1.498535 103
## [111] {butter milk} => {other vegetables} 0.010371124 0.3709091 1.916916 102
## [112] {citrus fruit,
## root vegetables} => {other vegetables} 0.010371124 0.5862069 3.029608 102
## [113] {citrus fruit,
## other vegetables} => {root vegetables} 0.010371124 0.3591549 3.295045 102
## [114] {berries} => {other vegetables} 0.010269446 0.3088685 1.596280 101
## [115] {citrus fruit,
## yogurt} => {whole milk} 0.010269446 0.4741784 1.855768 101
## [116] {citrus fruit,
## whole milk} => {yogurt} 0.010269446 0.3366667 2.413350 101
## [117] {pork,
## other vegetables} => {whole milk} 0.010167768 0.4694836 1.837394 100
## [118] {pork,
## whole milk} => {other vegetables} 0.010167768 0.4587156 2.370714 100
## [119] {yogurt,
## whipped/sour cream} => {other vegetables} 0.010167768 0.4901961 2.533410 100
## [120] {other vegetables,
## whipped/sour cream} => {yogurt} 0.010167768 0.3521127 2.524073 100
## [121] {sausage,
## other vegetables} => {whole milk} 0.010167768 0.3773585 1.476849 100
## [122] {sausage,
## whole milk} => {other vegetables} 0.010167768 0.3401361 1.757876 100
## [123] {hard cheese} => {whole milk} 0.010066090 0.4107884 1.607682 99
## [124] {curd,
## yogurt} => {whole milk} 0.010066090 0.5823529 2.279125 99
## [125] {whole milk,
## curd} => {yogurt} 0.010066090 0.3852140 2.761356 99
## [126] {meat} => {other vegetables} 0.009964413 0.3858268 1.994013 98
## [127] {meat} => {whole milk} 0.009964413 0.3858268 1.509991 98
## [128] {oil} => {other vegetables} 0.009964413 0.3550725 1.835070 98
## [129] {frozen meals} => {whole milk} 0.009862735 0.3476703 1.360659 97
## [130] {other vegetables,
## curd} => {whole milk} 0.009862735 0.5739645 2.246296 97
## [131] {whole milk,
## curd} => {other vegetables} 0.009862735 0.3774319 1.950627 97
## [132] {other vegetables,
## soda} => {rolls/buns} 0.009862735 0.3012422 1.637765 97
## [133] {other vegetables,
## frozen vegetables} => {whole milk} 0.009659380 0.5428571 2.124552 95
## [134] {whole milk,
## frozen vegetables} => {other vegetables} 0.009659380 0.4726368 2.442661 95
## [135] {sausage,
## soda} => {rolls/buns} 0.009659380 0.3974895 2.161034 95
## [136] {sausage,
## rolls/buns} => {soda} 0.009659380 0.3156146 1.809953 95
## [137] {yogurt,
## bottled water} => {whole milk} 0.009659380 0.4203540 1.645118 95
## [138] {pip fruit,
## yogurt} => {whole milk} 0.009557702 0.5310734 2.078435 94
## [139] {pip fruit,
## whole milk} => {yogurt} 0.009557702 0.3175676 2.276441 94
## [140] {hard cheese} => {other vegetables} 0.009456024 0.3858921 1.994350 93
## [141] {onions} => {root vegetables} 0.009456024 0.3049180 2.797452 93
## [142] {yogurt,
## fruit/vegetable juice} => {whole milk} 0.009456024 0.5054348 1.978094 93
## [143] {whole milk,
## fruit/vegetable juice} => {yogurt} 0.009456024 0.3549618 2.544497 93
## [144] {root vegetables,
## whipped/sour cream} => {whole milk} 0.009456024 0.5535714 2.166484 93
## [145] {tropical fruit,
## pip fruit} => {other vegetables} 0.009456024 0.4626866 2.391236 93
## [146] {pip fruit,
## other vegetables} => {tropical fruit} 0.009456024 0.3618677 3.448613 93
## [147] {other vegetables,
## brown bread} => {whole milk} 0.009354347 0.5000000 1.956825 92
## [148] {whole milk,
## brown bread} => {other vegetables} 0.009354347 0.3709677 1.917219 92
## [149] {butter,
## yogurt} => {whole milk} 0.009354347 0.6388889 2.500387 92
## [150] {whole milk,
## butter} => {yogurt} 0.009354347 0.3394834 2.433542 92
## [151] {sausage,
## rolls/buns} => {whole milk} 0.009354347 0.3056478 1.196198 92
## [152] {sausage,
## whole milk} => {rolls/buns} 0.009354347 0.3129252 1.701282 92
## [153] {baking powder} => {whole milk} 0.009252669 0.5229885 2.046793 91
## [154] {beef,
## other vegetables} => {whole milk} 0.009252669 0.4690722 1.835784 91
## [155] {beef,
## whole milk} => {other vegetables} 0.009252669 0.4354067 2.250250 91
## [156] {other vegetables,
## margarine} => {whole milk} 0.009252669 0.4690722 1.835784 91
## [157] {whole milk,
## margarine} => {other vegetables} 0.009252669 0.3823529 1.976059 91
## [158] {ham} => {other vegetables} 0.009150991 0.3515625 1.816930 90
## [159] {yogurt,
## pastry} => {whole milk} 0.009150991 0.5172414 2.024301 90
## [160] {citrus fruit,
## root vegetables} => {whole milk} 0.009150991 0.5172414 2.024301 90
## [161] {citrus fruit,
## whole milk} => {root vegetables} 0.009150991 0.3000000 2.752332 90
## [162] {grapes} => {other vegetables} 0.009049314 0.4045455 2.090754 89
## [163] {sliced cheese} => {other vegetables} 0.009049314 0.3692946 1.908572 89
## [164] {citrus fruit,
## tropical fruit} => {other vegetables} 0.009049314 0.4540816 2.346765 89
## [165] {citrus fruit,
## other vegetables} => {tropical fruit} 0.009049314 0.3133803 2.986526 89
## [166] {citrus fruit,
## tropical fruit} => {whole milk} 0.009049314 0.4540816 1.777116 89
## [167] {detergent} => {whole milk} 0.008947636 0.4656085 1.822228 88
## [168] {pip fruit,
## root vegetables} => {whole milk} 0.008947636 0.5751634 2.250988 88
## [169] {cat food} => {whole milk} 0.008845958 0.3799127 1.486845 87
## [170] {sausage,
## other vegetables} => {rolls/buns} 0.008845958 0.3283019 1.784881 87
## [171] {sausage,
## yogurt} => {whole milk} 0.008744281 0.4455959 1.743906 86
## [172] {rolls/buns,
## bottled water} => {whole milk} 0.008744281 0.3613445 1.414176 86
## [173] {tropical fruit,
## rolls/buns} => {yogurt} 0.008744281 0.3553719 2.547436 86
## [174] {yogurt,
## soda} => {rolls/buns} 0.008642603 0.3159851 1.717918 85
## [175] {butter milk} => {yogurt} 0.008540925 0.3054545 2.189610 84
## [176] {root vegetables,
## domestic eggs} => {whole milk} 0.008540925 0.5957447 2.331536 84
## [177] {root vegetables,
## whipped/sour cream} => {other vegetables} 0.008540925 0.5000000 2.584078 84
## [178] {rolls/buns,
## pastry} => {whole milk} 0.008540925 0.4077670 1.595857 84
## [179] {flour} => {whole milk} 0.008439248 0.4853801 1.899607 83
## [180] {chicken,
## other vegetables} => {whole milk} 0.008439248 0.4715909 1.845641 83
## [181] {chicken,
## whole milk} => {other vegetables} 0.008439248 0.4797688 2.479520 83
## [182] {tropical fruit,
## pip fruit} => {whole milk} 0.008439248 0.4129353 1.616084 83
## [183] {other vegetables,
## newspapers} => {whole milk} 0.008337570 0.4315789 1.689049 82
## [184] {whole milk,
## newspapers} => {other vegetables} 0.008337570 0.3048327 1.575423 82
## [185] {yogurt,
## soda} => {other vegetables} 0.008337570 0.3048327 1.575423 82
## [186] {root vegetables,
## butter} => {whole milk} 0.008235892 0.6377953 2.496107 81
## [187] {yogurt,
## fruit/vegetable juice} => {other vegetables} 0.008235892 0.4402174 2.275112 81
## [188] {other vegetables,
## fruit/vegetable juice} => {yogurt} 0.008235892 0.3913043 2.805013 81
## [189] {pastry,
## soda} => {whole milk} 0.008235892 0.3913043 1.531428 81
## [190] {root vegetables,
## soda} => {other vegetables} 0.008235892 0.4426230 2.287544 81
## [191] {pip fruit,
## root vegetables} => {other vegetables} 0.008134215 0.5228758 2.702304 80
## [192] {pip fruit,
## other vegetables} => {root vegetables} 0.008134215 0.3112840 2.855857 80
## [193] {pip fruit,
## yogurt} => {other vegetables} 0.008134215 0.4519774 2.335890 80
## [194] {pip fruit,
## other vegetables} => {yogurt} 0.008134215 0.3112840 2.231398 80
## [195] {sausage,
## yogurt} => {other vegetables} 0.008134215 0.4145078 2.142241 80
## [196] {sausage,
## other vegetables} => {yogurt} 0.008134215 0.3018868 2.164035 80
## [197] {yogurt,
## bottled water} => {other vegetables} 0.008134215 0.3539823 1.829436 80
## [198] {other vegetables,
## bottled water} => {yogurt} 0.008134215 0.3278689 2.350284 80
## [199] {tropical fruit,
## root vegetables} => {yogurt} 0.008134215 0.3864734 2.770384 80
## [200] {root vegetables,
## yogurt} => {tropical fruit} 0.008134215 0.3149606 3.001587 80
## [201] {root vegetables,
## soda} => {whole milk} 0.008134215 0.4371585 1.710885 80
## [202] {sliced cheese} => {yogurt} 0.008032537 0.3278008 2.349797 79
## [203] {beef,
## root vegetables} => {whole milk} 0.008032537 0.4619883 1.808060 79
## [204] {beef,
## whole milk} => {root vegetables} 0.008032537 0.3779904 3.467851 79
## [205] {tropical fruit,
## bottled water} => {whole milk} 0.008032537 0.4340659 1.698782 79
## [206] {beef,
## root vegetables} => {other vegetables} 0.007930859 0.4561404 2.357404 78
## [207] {beef,
## other vegetables} => {root vegetables} 0.007930859 0.4020619 3.688692 78
## [208] {rolls/buns,
## margarine} => {whole milk} 0.007930859 0.5379310 2.105273 78
## [209] {whole milk,
## margarine} => {rolls/buns} 0.007930859 0.3277311 1.781777 78
## [210] {tropical fruit,
## whipped/sour cream} => {whole milk} 0.007930859 0.5735294 2.244593 78
## [211] {tropical fruit,
## whipped/sour cream} => {other vegetables} 0.007829181 0.5661765 2.926088 77
## [212] {whipped/sour cream,
## rolls/buns} => {whole milk} 0.007829181 0.5347222 2.092715 77
## [213] {tropical fruit,
## soda} => {whole milk} 0.007829181 0.3756098 1.470005 77
## [214] {tropical fruit,
## rolls/buns} => {other vegetables} 0.007829181 0.3181818 1.644413 77
## [215] {root vegetables,
## other vegetables,
## yogurt} => {whole milk} 0.007829181 0.6062992 2.372842 77
## [216] {root vegetables,
## whole milk,
## yogurt} => {other vegetables} 0.007829181 0.5384615 2.782853 77
## [217] {root vegetables,
## other vegetables,
## whole milk} => {yogurt} 0.007829181 0.3377193 2.420896 77
## [218] {other vegetables,
## whole milk,
## yogurt} => {root vegetables} 0.007829181 0.3515982 3.225716 77
## [219] {herbs} => {other vegetables} 0.007727504 0.4750000 2.454874 76
## [220] {herbs} => {whole milk} 0.007727504 0.4750000 1.858983 76
## [221] {yogurt,
## domestic eggs} => {whole milk} 0.007727504 0.5390071 2.109485 76
## [222] {sausage,
## root vegetables} => {whole milk} 0.007727504 0.5170068 2.023383 76
## [223] {sliced cheese} => {rolls/buns} 0.007625826 0.3112033 1.691921 75
## [224] {frankfurter,
## other vegetables} => {whole milk} 0.007625826 0.4629630 1.811875 75
## [225] {frankfurter,
## whole milk} => {other vegetables} 0.007625826 0.3712871 1.918870 75
## [226] {other vegetables,
## bottled beer} => {whole milk} 0.007625826 0.4716981 1.846061 75
## [227] {whole milk,
## bottled beer} => {other vegetables} 0.007625826 0.3731343 1.928416 75
## [228] {rolls/buns,
## newspapers} => {whole milk} 0.007625826 0.3865979 1.513009 75
## [229] {citrus fruit,
## yogurt} => {other vegetables} 0.007625826 0.3521127 1.819773 75
## [230] {other vegetables,
## shopping bags} => {whole milk} 0.007625826 0.3289474 1.287385 75
## [231] {whole milk,
## shopping bags} => {other vegetables} 0.007625826 0.3112033 1.608347 75
## [232] {tropical fruit,
## other vegetables,
## yogurt} => {whole milk} 0.007625826 0.6198347 2.425816 75
## [233] {tropical fruit,
## whole milk,
## yogurt} => {other vegetables} 0.007625826 0.5033557 2.601421 75
## [234] {tropical fruit,
## other vegetables,
## whole milk} => {yogurt} 0.007625826 0.4464286 3.200164 75
## [235] {other vegetables,
## whole milk,
## yogurt} => {tropical fruit} 0.007625826 0.3424658 3.263712 75
## [236] {soft cheese} => {whole milk} 0.007524148 0.4404762 1.723869 74
## [237] {yogurt,
## bottled water} => {soda} 0.007422471 0.3230088 1.852357 73
## [238] {baking powder} => {other vegetables} 0.007320793 0.4137931 2.138547 72
## [239] {grapes} => {whole milk} 0.007320793 0.3272727 1.280831 72
## [240] {root vegetables,
## domestic eggs} => {other vegetables} 0.007320793 0.5106383 2.639058 72
## [241] {other vegetables,
## domestic eggs} => {root vegetables} 0.007320793 0.3287671 3.016254 72
## [242] {root vegetables,
## bottled water} => {whole milk} 0.007320793 0.4675325 1.829758 72
## [243] {rolls/buns,
## bottled water} => {other vegetables} 0.007320793 0.3025210 1.563476 72
## [244] {citrus fruit,
## rolls/buns} => {whole milk} 0.007219115 0.4303030 1.684055 71
## [245] {sausage,
## tropical fruit} => {whole milk} 0.007219115 0.5182482 2.028241 71
## [246] {tropical fruit,
## soda} => {other vegetables} 0.007219115 0.3463415 1.789947 71
## [247] {semi-finished bread} => {whole milk} 0.007117438 0.4022989 1.574457 70
## [248] {pickled vegetables} => {whole milk} 0.007117438 0.3977273 1.556565 70
## [249] {soft cheese} => {other vegetables} 0.007117438 0.4166667 2.153398 70
## [250] {yogurt,
## brown bread} => {whole milk} 0.007117438 0.4895105 1.915772 70
## [251] {tropical fruit,
## bottled water} => {yogurt} 0.007117438 0.3846154 2.757064 70
## [252] {yogurt,
## bottled water} => {tropical fruit} 0.007117438 0.3097345 2.951782 70
## [253] {yogurt,
## bottled water} => {rolls/buns} 0.007117438 0.3097345 1.683935 70
## [254] {herbs} => {root vegetables} 0.007015760 0.4312500 3.956477 69
## [255] {processed cheese} => {whole milk} 0.007015760 0.4233129 1.656698 69
## [256] {pork,
## root vegetables} => {other vegetables} 0.007015760 0.5149254 2.661214 69
## [257] {pork,
## other vegetables} => {root vegetables} 0.007015760 0.3239437 2.972002 69
## [258] {yogurt,
## margarine} => {whole milk} 0.007015760 0.4928571 1.928870 69
## [259] {root vegetables,
## bottled water} => {other vegetables} 0.007015760 0.4480519 2.315602 69
## [260] {tropical fruit,
## root vegetables,
## other vegetables} => {whole milk} 0.007015760 0.5702479 2.231750 69
## [261] {tropical fruit,
## root vegetables,
## whole milk} => {other vegetables} 0.007015760 0.5847458 3.022057 69
## [262] {tropical fruit,
## other vegetables,
## whole milk} => {root vegetables} 0.007015760 0.4107143 3.768074 69
## [263] {root vegetables,
## other vegetables,
## whole milk} => {tropical fruit} 0.007015760 0.3026316 2.884091 69
## [264] {pot plants} => {whole milk} 0.006914082 0.4000000 1.565460 68
## [265] {tropical fruit,
## domestic eggs} => {whole milk} 0.006914082 0.6071429 2.376144 68
## [266] {beef,
## rolls/buns} => {whole milk} 0.006812405 0.5000000 1.956825 67
## [267] {beef,
## whole milk} => {rolls/buns} 0.006812405 0.3205742 1.742867 67
## [268] {other vegetables,
## napkins} => {whole milk} 0.006812405 0.4718310 1.846581 67
## [269] {whole milk,
## napkins} => {other vegetables} 0.006812405 0.3453608 1.784878 67
## [270] {pork,
## root vegetables} => {whole milk} 0.006812405 0.5000000 1.956825 67
## [271] {pork,
## whole milk} => {root vegetables} 0.006812405 0.3073394 2.819667 67
## [272] {sausage,
## root vegetables} => {other vegetables} 0.006812405 0.4557823 2.355554 67
## [273] {other vegetables,
## cream cheese } => {whole milk} 0.006710727 0.4888889 1.913340 66
## [274] {whole milk,
## cream cheese } => {other vegetables} 0.006710727 0.4074074 2.105545 66
## [275] {butter,
## whipped/sour cream} => {whole milk} 0.006710727 0.6600000 2.583008 66
## [276] {whipped/sour cream,
## rolls/buns} => {other vegetables} 0.006710727 0.4583333 2.368738 66
## [277] {tropical fruit,
## pastry} => {whole milk} 0.006710727 0.5076923 1.986930 66
## [278] {onions,
## other vegetables} => {whole milk} 0.006609049 0.4642857 1.817051 65
## [279] {onions,
## whole milk} => {other vegetables} 0.006609049 0.5462185 2.822942 65
## [280] {yogurt,
## cream cheese } => {whole milk} 0.006609049 0.5327869 2.085141 65
## [281] {whole milk,
## cream cheese } => {yogurt} 0.006609049 0.4012346 2.876197 65
## [282] {root vegetables,
## butter} => {other vegetables} 0.006609049 0.5118110 2.645119 65
## [283] {other vegetables,
## butter} => {root vegetables} 0.006609049 0.3299492 3.027100 65
## [284] {butter,
## rolls/buns} => {whole milk} 0.006609049 0.4924242 1.927176 65
## [285] {yogurt,
## newspapers} => {whole milk} 0.006609049 0.4304636 1.684683 65
## [286] {domestic eggs,
## rolls/buns} => {whole milk} 0.006609049 0.4220779 1.651865 65
## [287] {tropical fruit,
## fruit/vegetable juice} => {other vegetables} 0.006609049 0.4814815 2.488371 65
## [288] {other vegetables,
## fruit/vegetable juice} => {tropical fruit} 0.006609049 0.3140097 2.992524 65
## [289] {root vegetables,
## fruit/vegetable juice} => {other vegetables} 0.006609049 0.5508475 2.846865 65
## [290] {other vegetables,
## fruit/vegetable juice} => {root vegetables} 0.006609049 0.3140097 2.880863 65
## [291] {yogurt,
## pastry} => {other vegetables} 0.006609049 0.3735632 1.930633 65
## [292] {root vegetables,
## shopping bags} => {other vegetables} 0.006609049 0.5158730 2.666112 65
## [293] {tropical fruit,
## soda} => {yogurt} 0.006609049 0.3170732 2.272897 65
## [294] {tropical fruit,
## curd} => {whole milk} 0.006507372 0.6336634 2.479936 64
## [295] {root vegetables,
## fruit/vegetable juice} => {whole milk} 0.006507372 0.5423729 2.122657 64
## [296] {detergent} => {other vegetables} 0.006405694 0.3333333 1.722719 63
## [297] {pickled vegetables} => {other vegetables} 0.006405694 0.3579545 1.849965 63
## [298] {other vegetables,
## coffee} => {whole milk} 0.006405694 0.4772727 1.867878 63
## [299] {whole milk,
## coffee} => {other vegetables} 0.006405694 0.3423913 1.769532 63
## [300] {butter,
## yogurt} => {other vegetables} 0.006405694 0.4375000 2.261068 63
## [301] {other vegetables,
## butter} => {yogurt} 0.006405694 0.3197970 2.292422 63
## [302] {root vegetables,
## whipped/sour cream} => {yogurt} 0.006405694 0.3750000 2.688138 63
## [303] {yogurt,
## whipped/sour cream} => {root vegetables} 0.006405694 0.3088235 2.833283 63
## [304] {tropical fruit,
## pip fruit} => {yogurt} 0.006405694 0.3134328 2.246802 63
## [305] {pip fruit,
## yogurt} => {tropical fruit} 0.006405694 0.3559322 3.392048 63
## [306] {flour} => {other vegetables} 0.006304016 0.3625731 1.873834 62
## [307] {hamburger meat,
## other vegetables} => {whole milk} 0.006304016 0.4558824 1.784164 62
## [308] {hamburger meat,
## whole milk} => {other vegetables} 0.006304016 0.4275862 2.209832 62
## [309] {other vegetables,
## sugar} => {whole milk} 0.006304016 0.5849057 2.289115 62
## [310] {whole milk,
## sugar} => {other vegetables} 0.006304016 0.4189189 2.165038 62
## [311] {citrus fruit,
## whipped/sour cream} => {whole milk} 0.006304016 0.5794393 2.267722 62
## [312] {citrus fruit,
## tropical fruit} => {yogurt} 0.006304016 0.3163265 2.267545 62
## [313] {rolls/buns,
## shopping bags} => {soda} 0.006304016 0.3229167 1.851828 62
## [314] {root vegetables,
## frozen vegetables} => {whole milk} 0.006202339 0.5350877 2.094146 61
## [315] {whole milk,
## frozen vegetables} => {root vegetables} 0.006202339 0.3034826 2.784283 61
## [316] {root vegetables,
## curd} => {whole milk} 0.006202339 0.5700935 2.231146 61
## [317] {pork,
## rolls/buns} => {whole milk} 0.006202339 0.5495495 2.150744 61
## [318] {frankfurter,
## yogurt} => {whole milk} 0.006202339 0.5545455 2.170296 61
## [319] {frankfurter,
## whole milk} => {yogurt} 0.006202339 0.3019802 2.164705 61
## [320] {tropical fruit,
## butter} => {whole milk} 0.006202339 0.6224490 2.436047 61
## [321] {tropical fruit,
## whipped/sour cream} => {yogurt} 0.006202339 0.4485294 3.215224 61
## [322] {pip fruit,
## rolls/buns} => {whole milk} 0.006202339 0.4452555 1.742574 61
## [323] {tropical fruit,
## bottled water} => {other vegetables} 0.006202339 0.3351648 1.732184 61
## [324] {root vegetables,
## other vegetables,
## rolls/buns} => {whole milk} 0.006202339 0.5083333 1.989438 61
## [325] {root vegetables,
## whole milk,
## rolls/buns} => {other vegetables} 0.006202339 0.4880000 2.522060 61
## [326] {other vegetables,
## whole milk,
## rolls/buns} => {root vegetables} 0.006202339 0.3465909 3.179778 61
## [327] {pasta} => {whole milk} 0.006100661 0.4054054 1.586614 60
## [328] {root vegetables,
## frozen vegetables} => {other vegetables} 0.006100661 0.5263158 2.720082 60
## [329] {other vegetables,
## frozen vegetables} => {root vegetables} 0.006100661 0.3428571 3.145522 60
## [330] {yogurt,
## frozen vegetables} => {whole milk} 0.006100661 0.4918033 1.924745 60
## [331] {beef,
## yogurt} => {whole milk} 0.006100661 0.5217391 2.041904 60
## [332] {curd,
## yogurt} => {other vegetables} 0.006100661 0.3529412 1.824055 60
## [333] {other vegetables,
## curd} => {yogurt} 0.006100661 0.3550296 2.544982 60
## [334] {yogurt,
## napkins} => {whole milk} 0.006100661 0.4958678 1.940652 60
## [335] {whole milk,
## napkins} => {yogurt} 0.006100661 0.3092784 2.217021 60
## [336] {bottled water,
## bottled beer} => {whole milk} 0.006100661 0.3870968 1.514961 60
## [337] {soda,
## fruit/vegetable juice} => {whole milk} 0.006100661 0.3314917 1.297342 60
## [338] {dishes} => {other vegetables} 0.005998983 0.3410405 1.762550 59
## [339] {soft cheese} => {yogurt} 0.005998983 0.3511905 2.517462 59
## [340] {chicken,
## root vegetables} => {whole milk} 0.005998983 0.5514019 2.157993 59
## [341] {chicken,
## whole milk} => {root vegetables} 0.005998983 0.3410405 3.128855 59
## [342] {frankfurter,
## rolls/buns} => {whole milk} 0.005998983 0.3121693 1.221721 59
## [343] {butter,
## domestic eggs} => {whole milk} 0.005998983 0.6210526 2.430582 59
## [344] {root vegetables,
## newspapers} => {other vegetables} 0.005998983 0.5221239 2.698417 59
## [345] {other vegetables,
## newspapers} => {root vegetables} 0.005998983 0.3105263 2.848905 59
## [346] {tropical fruit,
## fruit/vegetable juice} => {whole milk} 0.005998983 0.4370370 1.710410 59
## [347] {pip fruit,
## whipped/sour cream} => {whole milk} 0.005998983 0.6483516 2.537421 59
## [348] {citrus fruit,
## rolls/buns} => {other vegetables} 0.005998983 0.3575758 1.848007 59
## [349] {sausage,
## shopping bags} => {rolls/buns} 0.005998983 0.3831169 2.082894 59
## [350] {rolls/buns,
## shopping bags} => {sausage} 0.005998983 0.3072917 3.270794 59
## [351] {sausage,
## tropical fruit} => {other vegetables} 0.005998983 0.4306569 2.225702 59
## [352] {sausage,
## yogurt} => {rolls/buns} 0.005998983 0.3056995 1.661998 59
## [353] {other vegetables,
## yogurt,
## rolls/buns} => {whole milk} 0.005998983 0.5221239 2.043410 59
## [354] {whole milk,
## yogurt,
## rolls/buns} => {other vegetables} 0.005998983 0.3856209 1.992949 59
## [355] {other vegetables,
## whole milk,
## rolls/buns} => {yogurt} 0.005998983 0.3352273 2.403032 59
## [356] {other vegetables,
## white bread} => {whole milk} 0.005897306 0.4296296 1.681420 58
## [357] {whole milk,
## white bread} => {other vegetables} 0.005897306 0.3452381 1.784244 58
## [358] {curd,
## whipped/sour cream} => {whole milk} 0.005897306 0.5631068 2.203802 58
## [359] {curd,
## rolls/buns} => {whole milk} 0.005897306 0.5858586 2.292845 58
## [360] {root vegetables,
## margarine} => {other vegetables} 0.005897306 0.5321101 2.750028 58
## [361] {domestic eggs,
## rolls/buns} => {other vegetables} 0.005897306 0.3766234 1.946448 58
## [362] {citrus fruit,
## pip fruit} => {other vegetables} 0.005897306 0.4264706 2.204066 58
## [363] {root vegetables,
## pastry} => {other vegetables} 0.005897306 0.5370370 2.775491 58
## [364] {citrus fruit,
## bottled water} => {whole milk} 0.005897306 0.4360902 1.706704 58
## [365] {beef,
## rolls/buns} => {other vegetables} 0.005795628 0.4253731 2.198395 57
## [366] {butter,
## whipped/sour cream} => {other vegetables} 0.005795628 0.5700000 2.945849 57
## [367] {root vegetables,
## newspapers} => {whole milk} 0.005795628 0.5044248 1.974142 57
## [368] {yogurt,
## domestic eggs} => {other vegetables} 0.005795628 0.4042553 2.089254 57
## [369] {bottled water,
## fruit/vegetable juice} => {whole milk} 0.005795628 0.4071429 1.593414 57
## [370] {yogurt,
## pastry} => {rolls/buns} 0.005795628 0.3275862 1.780990 57
## [371] {citrus fruit,
## rolls/buns} => {yogurt} 0.005795628 0.3454545 2.476345 57
## [372] {citrus fruit,
## root vegetables,
## other vegetables} => {whole milk} 0.005795628 0.5588235 2.187039 57
## [373] {citrus fruit,
## root vegetables,
## whole milk} => {other vegetables} 0.005795628 0.6333333 3.273165 57
## [374] {citrus fruit,
## other vegetables,
## whole milk} => {root vegetables} 0.005795628 0.4453125 4.085493 57
## [375] {root vegetables,
## onions} => {other vegetables} 0.005693950 0.6021505 3.112008 56
## [376] {onions,
## other vegetables} => {root vegetables} 0.005693950 0.4000000 3.669776 56
## [377] {other vegetables,
## long life bakery product} => {whole milk} 0.005693950 0.5333333 2.087279 56
## [378] {whole milk,
## long life bakery product} => {other vegetables} 0.005693950 0.4210526 2.176065 56
## [379] {chicken,
## root vegetables} => {other vegetables} 0.005693950 0.5233645 2.704829 56
## [380] {chicken,
## other vegetables} => {root vegetables} 0.005693950 0.3181818 2.919140 56
## [381] {tropical fruit,
## brown bread} => {whole milk} 0.005693950 0.5333333 2.087279 56
## [382] {root vegetables,
## brown bread} => {whole milk} 0.005693950 0.5600000 2.191643 56
## [383] {yogurt,
## margarine} => {other vegetables} 0.005693950 0.4000000 2.067262 56
## [384] {butter,
## rolls/buns} => {other vegetables} 0.005693950 0.4242424 2.192551 56
## [385] {whipped/sour cream,
## domestic eggs} => {whole milk} 0.005693950 0.5714286 2.236371 56
## [386] {citrus fruit,
## domestic eggs} => {whole milk} 0.005693950 0.5490196 2.148670 56
## [387] {citrus fruit,
## whipped/sour cream} => {other vegetables} 0.005693950 0.5233645 2.704829 56
## [388] {sausage,
## pastry} => {whole milk} 0.005693950 0.4552846 1.781824 56
## [389] {root vegetables,
## pastry} => {whole milk} 0.005693950 0.5185185 2.029299 56
## [390] {citrus fruit,
## root vegetables} => {tropical fruit} 0.005693950 0.3218391 3.067139 56
## [391] {sausage,
## shopping bags} => {soda} 0.005693950 0.3636364 2.085343 56
## [392] {tropical fruit,
## root vegetables,
## yogurt} => {whole milk} 0.005693950 0.7000000 2.739554 56
## [393] {tropical fruit,
## root vegetables,
## whole milk} => {yogurt} 0.005693950 0.4745763 3.401937 56
## [394] {tropical fruit,
## whole milk,
## yogurt} => {root vegetables} 0.005693950 0.3758389 3.448112 56
## [395] {root vegetables,
## whole milk,
## yogurt} => {tropical fruit} 0.005693950 0.3916084 3.732043 56
## [396] {cake bar} => {whole milk} 0.005592272 0.4230769 1.655775 55
## [397] {pork,
## rolls/buns} => {other vegetables} 0.005592272 0.4954955 2.560798 55
## [398] {frankfurter,
## other vegetables} => {rolls/buns} 0.005592272 0.3395062 1.845795 55
## [399] {yogurt,
## newspapers} => {other vegetables} 0.005592272 0.3642384 1.882441 55
## [400] {rolls/buns,
## fruit/vegetable juice} => {whole milk} 0.005592272 0.3846154 1.505250 55
## [401] {pip fruit,
## whipped/sour cream} => {other vegetables} 0.005592272 0.6043956 3.123610 55
## [402] {citrus fruit,
## pip fruit} => {tropical fruit} 0.005592272 0.4044118 3.854060 55
## [403] {sausage,
## pip fruit} => {whole milk} 0.005592272 0.5188679 2.030667 55
## [404] {other vegetables,
## yogurt,
## whipped/sour cream} => {whole milk} 0.005592272 0.5500000 2.152507 55
## [405] {whole milk,
## yogurt,
## whipped/sour cream} => {other vegetables} 0.005592272 0.5140187 2.656529 55
## [406] {other vegetables,
## whole milk,
## whipped/sour cream} => {yogurt} 0.005592272 0.3819444 2.737918 55
## [407] {processed cheese} => {other vegetables} 0.005490595 0.3312883 1.712150 54
## [408] {other vegetables,
## chocolate} => {whole milk} 0.005490595 0.4320000 1.690696 54
## [409] {whole milk,
## chocolate} => {other vegetables} 0.005490595 0.3292683 1.701710 54
## [410] {root vegetables,
## curd} => {other vegetables} 0.005490595 0.5046729 2.608228 54
## [411] {other vegetables,
## curd} => {root vegetables} 0.005490595 0.3195266 2.931478 54
## [412] {tropical fruit,
## butter} => {other vegetables} 0.005490595 0.5510204 2.847759 54
## [413] {whipped/sour cream,
## soda} => {whole milk} 0.005490595 0.4736842 1.853834 54
## [414] {pip fruit,
## root vegetables,
## other vegetables} => {whole milk} 0.005490595 0.6750000 2.641713 54
## [415] {pip fruit,
## root vegetables,
## whole milk} => {other vegetables} 0.005490595 0.6136364 3.171368 54
## [416] {pip fruit,
## other vegetables,
## whole milk} => {root vegetables} 0.005490595 0.4060150 3.724961 54
## [417] {soft cheese} => {rolls/buns} 0.005388917 0.3154762 1.715151 53
## [418] {rolls/buns,
## bottled beer} => {whole milk} 0.005388917 0.3955224 1.547936 53
## [419] {butter,
## bottled water} => {whole milk} 0.005388917 0.6022727 2.357084 53
## [420] {pip fruit,
## domestic eggs} => {whole milk} 0.005388917 0.6235294 2.440275 53
## [421] {sausage,
## shopping bags} => {other vegetables} 0.005388917 0.3441558 1.778651 53
## [422] {yogurt,
## shopping bags} => {other vegetables} 0.005388917 0.3533333 1.826082 53
## [423] {dishes} => {whole milk} 0.005287239 0.3005780 1.176357 52
## [424] {processed cheese} => {soda} 0.005287239 0.3190184 1.829473 52
## [425] {yogurt,
## cream cheese } => {other vegetables} 0.005287239 0.4262295 2.202820 52
## [426] {other vegetables,
## cream cheese } => {yogurt} 0.005287239 0.3851852 2.761149 52
## [427] {chicken,
## rolls/buns} => {whole milk} 0.005287239 0.5473684 2.142208 52
## [428] {chicken,
## whole milk} => {rolls/buns} 0.005287239 0.3005780 1.634154 52
## [429] {yogurt,
## frozen vegetables} => {other vegetables} 0.005287239 0.4262295 2.202820 52
## [430] {tropical fruit,
## curd} => {yogurt} 0.005287239 0.5148515 3.690645 52
## [431] {curd,
## yogurt} => {tropical fruit} 0.005287239 0.3058824 2.915071 52
## [432] {tropical fruit,
## curd} => {other vegetables} 0.005287239 0.5148515 2.660833 52
## [433] {other vegetables,
## curd} => {tropical fruit} 0.005287239 0.3076923 2.932320 52
## [434] {rolls/buns,
## napkins} => {whole milk} 0.005287239 0.4521739 1.769650 52
## [435] {rolls/buns,
## brown bread} => {whole milk} 0.005287239 0.4193548 1.641208 52
## [436] {pip fruit,
## root vegetables} => {tropical fruit} 0.005287239 0.3398693 3.238967 52
## [437] {pip fruit,
## root vegetables} => {yogurt} 0.005287239 0.3398693 2.436308 52
## [438] {root vegetables,
## shopping bags} => {whole milk} 0.005287239 0.4126984 1.615157 52
## [439] {yogurt,
## shopping bags} => {whole milk} 0.005287239 0.3466667 1.356732 52
## [440] {mustard} => {whole milk} 0.005185562 0.4322034 1.691492 51
## [441] {other vegetables,
## hygiene articles} => {whole milk} 0.005185562 0.5425532 2.123363 51
## [442] {whole milk,
## hygiene articles} => {other vegetables} 0.005185562 0.4047619 2.091872 51
## [443] {beef,
## yogurt} => {other vegetables} 0.005185562 0.4434783 2.291965 51
## [444] {frankfurter,
## tropical fruit} => {whole milk} 0.005185562 0.5483871 2.146195 51
## [445] {yogurt,
## bottled beer} => {whole milk} 0.005185562 0.5604396 2.193364 51
## [446] {yogurt,
## brown bread} => {other vegetables} 0.005185562 0.3566434 1.843188 51
## [447] {domestic eggs,
## margarine} => {whole milk} 0.005185562 0.6219512 2.434099 51
## [448] {rolls/buns,
## margarine} => {other vegetables} 0.005185562 0.3517241 1.817765 51
## [449] {domestic eggs,
## soda} => {whole milk} 0.005185562 0.4180328 1.636034 51
## [450] {bottled water,
## fruit/vegetable juice} => {soda} 0.005185562 0.3642857 2.089067 51
## [451] {citrus fruit,
## pip fruit} => {whole milk} 0.005185562 0.3750000 1.467618 51
## [452] {sausage,
## root vegetables} => {yogurt} 0.005185562 0.3469388 2.486985 51
## [453] {root vegetables,
## other vegetables,
## whipped/sour cream} => {whole milk} 0.005185562 0.6071429 2.376144 51
## [454] {root vegetables,
## whole milk,
## whipped/sour cream} => {other vegetables} 0.005185562 0.5483871 2.834150 51
## [455] {other vegetables,
## whole milk,
## whipped/sour cream} => {root vegetables} 0.005185562 0.3541667 3.249281 51
## [456] {canned fish} => {other vegetables} 0.005083884 0.3378378 1.745998 50
## [457] {other vegetables,
## oil} => {whole milk} 0.005083884 0.5102041 1.996760 50
## [458] {whole milk,
## oil} => {other vegetables} 0.005083884 0.4504505 2.327998 50
## [459] {soda,
## chocolate} => {whole milk} 0.005083884 0.3759398 1.471297 50
## [460] {whole milk,
## chocolate} => {soda} 0.005083884 0.3048780 1.748382 50
## [461] {yogurt,
## coffee} => {whole milk} 0.005083884 0.5208333 2.038359 50
## [462] {frozen vegetables,
## rolls/buns} => {whole milk} 0.005083884 0.5000000 1.956825 50
## [463] {frankfurter,
## root vegetables} => {whole milk} 0.005083884 0.5000000 1.956825 50
## [464] {bottled water,
## bottled beer} => {soda} 0.005083884 0.3225806 1.849901 50
## [465] {brown bread,
## soda} => {whole milk} 0.005083884 0.4032258 1.578084 50
## [466] {citrus fruit,
## butter} => {whole milk} 0.005083884 0.5555556 2.174249 50
## [467] {tropical fruit,
## newspapers} => {whole milk} 0.005083884 0.4310345 1.686918 50
## [468] {yogurt,
## newspapers} => {rolls/buns} 0.005083884 0.3311258 1.800234 50
## [469] {whipped/sour cream,
## domestic eggs} => {other vegetables} 0.005083884 0.5102041 2.636814 50
## [470] {domestic eggs,
## soda} => {other vegetables} 0.005083884 0.4098361 2.118097 50
## [471] {sausage,
## whipped/sour cream} => {whole milk} 0.005083884 0.5617978 2.198679 50
## [472] {pip fruit,
## pastry} => {whole milk} 0.005083884 0.4761905 1.863642 50
## [473] {pip fruit,
## rolls/buns} => {other vegetables} 0.005083884 0.3649635 1.886188 50
## [474] {tropical fruit,
## pastry} => {other vegetables} 0.005083884 0.3846154 1.987752 50
## [475] {citrus fruit,
## bottled water} => {other vegetables} 0.005083884 0.3759398 1.942916 50
## [476] {sausage,
## bottled water} => {other vegetables} 0.005083884 0.4237288 2.189896 50
## [477] {other vegetables,
## yogurt,
## fruit/vegetable juice} => {whole milk} 0.005083884 0.6172840 2.415833 50
## [478] {whole milk,
## yogurt,
## fruit/vegetable juice} => {other vegetables} 0.005083884 0.5376344 2.778578 50
## [479] {other vegetables,
## whole milk,
## fruit/vegetable juice} => {yogurt} 0.005083884 0.4854369 3.479790 50
## [480] {pip fruit,
## other vegetables,
## yogurt} => {whole milk} 0.005083884 0.6250000 2.446031 50
## [481] {pip fruit,
## whole milk,
## yogurt} => {other vegetables} 0.005083884 0.5319149 2.749019 50
## [482] {pip fruit,
## other vegetables,
## whole milk} => {yogurt} 0.005083884 0.3759398 2.694875 50
## [483] {frozen fish} => {whole milk} 0.004982206 0.4260870 1.667555 49
## [484] {berries,
## other vegetables} => {whole milk} 0.004982206 0.4851485 1.898701 49
## [485] {berries,
## whole milk} => {other vegetables} 0.004982206 0.4224138 2.183100 49
## [486] {other vegetables,
## dessert} => {whole milk} 0.004982206 0.4298246 1.682182 49
## [487] {whole milk,
## dessert} => {other vegetables} 0.004982206 0.3629630 1.875849 49
## [488] {chicken,
## rolls/buns} => {other vegetables} 0.004982206 0.5157895 2.665680 49
## [489] {rolls/buns,
## chocolate} => {whole milk} 0.004982206 0.4224138 1.653179 49
## [490] {tropical fruit,
## frozen vegetables} => {whole milk} 0.004982206 0.5697674 2.229870 49
## [491] {beef,
## rolls/buns} => {root vegetables} 0.004982206 0.3656716 3.354833 49
## [492] {tropical fruit,
## napkins} => {whole milk} 0.004982206 0.4949495 1.937059 49
## [493] {margarine,
## bottled water} => {whole milk} 0.004982206 0.4851485 1.898701 49
## [494] {root vegetables,
## margarine} => {whole milk} 0.004982206 0.4495413 1.759347 49
## [495] {soda,
## newspapers} => {other vegetables} 0.004982206 0.3402778 1.758608 49
## [496] {pip fruit,
## soda} => {whole milk} 0.004982206 0.3740458 1.463884 49
## [497] {sausage,
## citrus fruit} => {whole milk} 0.004982206 0.4414414 1.727647 49
## [498] {tropical fruit,
## shopping bags} => {whole milk} 0.004982206 0.3684211 1.441871 49
## [499] {sausage,
## root vegetables} => {rolls/buns} 0.004982206 0.3333333 1.812235 49
## [500] {citrus fruit,
## tropical fruit,
## other vegetables} => {whole milk} 0.004982206 0.5505618 2.154706 49
## [501] {citrus fruit,
## tropical fruit,
## whole milk} => {other vegetables} 0.004982206 0.5505618 2.845389 49
## [502] {citrus fruit,
## other vegetables,
## whole milk} => {tropical fruit} 0.004982206 0.3828125 3.648218 49
## [503] {tropical fruit,
## root vegetables,
## yogurt} => {other vegetables} 0.004982206 0.6125000 3.165495 49
## [504] {tropical fruit,
## root vegetables,
## other vegetables} => {yogurt} 0.004982206 0.4049587 2.902893 49
## [505] {tropical fruit,
## other vegetables,
## yogurt} => {root vegetables} 0.004982206 0.4049587 3.715269 49
## [506] {root vegetables,
## other vegetables,
## yogurt} => {tropical fruit} 0.004982206 0.3858268 3.676944 49
## [507] {other vegetables,
## salty snack} => {whole milk} 0.004880529 0.4528302 1.772218 48
## [508] {whole milk,
## salty snack} => {other vegetables} 0.004880529 0.4363636 2.255195 48
## [509] {chicken,
## yogurt} => {other vegetables} 0.004880529 0.5853659 3.025262 48
## [510] {yogurt,
## white bread} => {whole milk} 0.004880529 0.5393258 2.110732 48
## [511] {butter,
## curd} => {whole milk} 0.004880529 0.7164179 2.803808 48
## [512] {pip fruit,
## curd} => {whole milk} 0.004880529 0.6233766 2.439677 48
## [513] {root vegetables,
## napkins} => {whole milk} 0.004880529 0.4897959 1.916889 48
## [514] {pork,
## yogurt} => {whole milk} 0.004880529 0.5106383 1.998459 48
## [515] {frankfurter,
## yogurt} => {other vegetables} 0.004880529 0.4363636 2.255195 48
## [516] {domestic eggs,
## bottled water} => {whole milk} 0.004880529 0.5333333 2.087279 48
## [517] {sausage,
## fruit/vegetable juice} => {whole milk} 0.004880529 0.4848485 1.897527 48
## [518] {tropical fruit,
## fruit/vegetable juice} => {yogurt} 0.004880529 0.3555556 2.548753 48
## [519] {sausage,
## whipped/sour cream} => {other vegetables} 0.004880529 0.5393258 2.787320 48
## [520] {whipped/sour cream,
## soda} => {other vegetables} 0.004880529 0.4210526 2.176065 48
## [521] {citrus fruit,
## pastry} => {whole milk} 0.004880529 0.5000000 1.956825 48
## [522] {tropical fruit,
## yogurt,
## rolls/buns} => {whole milk} 0.004880529 0.5581395 2.184362 48
## [523] {tropical fruit,
## whole milk,
## yogurt} => {rolls/buns} 0.004880529 0.3221477 1.751422 48
## [524] {tropical fruit,
## whole milk,
## rolls/buns} => {yogurt} 0.004880529 0.4444444 3.185941 48
## [525] {whole milk,
## yogurt,
## rolls/buns} => {tropical fruit} 0.004880529 0.3137255 2.989816 48
## [526] {roll products } => {other vegetables} 0.004778851 0.4653465 2.404983 47
## [527] {canned fish} => {whole milk} 0.004778851 0.3175676 1.242848 47
## [528] {ham,
## other vegetables} => {whole milk} 0.004778851 0.5222222 2.043794 47
## [529] {ham,
## whole milk} => {other vegetables} 0.004778851 0.4159292 2.149587 47
## [530] {root vegetables,
## onions} => {whole milk} 0.004778851 0.5053763 1.977866 47
## [531] {onions,
## whole milk} => {root vegetables} 0.004778851 0.3949580 3.623518 47
## [532] {dessert,
## yogurt} => {whole milk} 0.004778851 0.4845361 1.896304 47
## [533] {whole milk,
## dessert} => {yogurt} 0.004778851 0.3481481 2.495654 47
## [534] {curd,
## domestic eggs} => {whole milk} 0.004778851 0.7343750 2.874086 47
## [535] {brown bread,
## pastry} => {whole milk} 0.004778851 0.4947368 1.936226 47
## [536] {sausage,
## butter} => {whole milk} 0.004778851 0.5529412 2.164018 47
## [537] {soda,
## newspapers} => {whole milk} 0.004778851 0.3263889 1.277372 47
## [538] {domestic eggs,
## fruit/vegetable juice} => {whole milk} 0.004778851 0.5949367 2.328373 47
## [539] {tropical fruit,
## domestic eggs} => {other vegetables} 0.004778851 0.4196429 2.168780 47
## [540] {pip fruit,
## fruit/vegetable juice} => {whole milk} 0.004778851 0.5000000 1.956825 47
## [541] {citrus fruit,
## fruit/vegetable juice} => {other vegetables} 0.004778851 0.4607843 2.381405 47
## [542] {whipped/sour cream,
## rolls/buns} => {yogurt} 0.004778851 0.3263889 2.339675 47
## [543] {tropical fruit,
## shopping bags} => {other vegetables} 0.004778851 0.3533835 1.826341 47
## [544] {tropical fruit,
## pip fruit,
## other vegetables} => {whole milk} 0.004778851 0.5053763 1.977866 47
## [545] {tropical fruit,
## pip fruit,
## whole milk} => {other vegetables} 0.004778851 0.5662651 2.926546 47
## [546] {pip fruit,
## other vegetables,
## whole milk} => {tropical fruit} 0.004778851 0.3533835 3.367758 47
## [547] {citrus fruit,
## other vegetables,
## yogurt} => {whole milk} 0.004778851 0.6266667 2.452553 47
## [548] {citrus fruit,
## whole milk,
## yogurt} => {other vegetables} 0.004778851 0.4653465 2.404983 47
## [549] {citrus fruit,
## other vegetables,
## whole milk} => {yogurt} 0.004778851 0.3671875 2.632135 47
## [550] {liquor} => {bottled beer} 0.004677173 0.4220183 5.240594 46
## [551] {rice} => {whole milk} 0.004677173 0.6133333 2.400371 46
## [552] {canned vegetables} => {other vegetables} 0.004677173 0.4339623 2.242784 46
## [553] {roll products } => {whole milk} 0.004677173 0.4554455 1.782454 46
## [554] {frozen fish} => {other vegetables} 0.004677173 0.4000000 2.067262 46
## [555] {other vegetables,
## butter milk} => {whole milk} 0.004677173 0.4509804 1.764979 46
## [556] {whole milk,
## butter milk} => {other vegetables} 0.004677173 0.4035088 2.085396 46
## [557] {hamburger meat,
## rolls/buns} => {other vegetables} 0.004677173 0.5411765 2.796884 46
## [558] {hamburger meat,
## other vegetables} => {rolls/buns} 0.004677173 0.3382353 1.838886 46
## [559] {rolls/buns,
## waffles} => {whole milk} 0.004677173 0.5111111 2.000310 46
## [560] {whole milk,
## waffles} => {rolls/buns} 0.004677173 0.3680000 2.000708 46
## [561] {other vegetables,
## waffles} => {whole milk} 0.004677173 0.4646465 1.818463 46
## [562] {whole milk,
## waffles} => {other vegetables} 0.004677173 0.3680000 1.901881 46
## [563] {rolls/buns,
## coffee} => {whole milk} 0.004677173 0.4259259 1.666925 46
## [564] {root vegetables,
## curd} => {yogurt} 0.004677173 0.4299065 3.081728 46
## [565] {soda,
## napkins} => {whole milk} 0.004677173 0.3898305 1.525660 46
## [566] {pork,
## yogurt} => {other vegetables} 0.004677173 0.4893617 2.529097 46
## [567] {pip fruit,
## pastry} => {other vegetables} 0.004677173 0.4380952 2.264144 46
## [568] {pip fruit,
## soda} => {other vegetables} 0.004677173 0.3511450 1.814772 46
## [569] {tropical fruit,
## pastry} => {yogurt} 0.004677173 0.3538462 2.536499 46
## [570] {sausage,
## tropical fruit} => {yogurt} 0.004677173 0.3357664 2.406897 46
## [571] {root vegetables,
## yogurt,
## rolls/buns} => {whole milk} 0.004677173 0.6478873 2.535604 46
## [572] {root vegetables,
## whole milk,
## yogurt} => {rolls/buns} 0.004677173 0.3216783 1.748870 46
## [573] {root vegetables,
## whole milk,
## rolls/buns} => {yogurt} 0.004677173 0.3680000 2.637959 46
## [574] {whole milk,
## yogurt,
## rolls/buns} => {root vegetables} 0.004677173 0.3006536 2.758328 46
## [575] {butter milk,
## yogurt} => {whole milk} 0.004575496 0.5357143 2.096598 45
## [576] {whole milk,
## butter milk} => {yogurt} 0.004575496 0.3947368 2.829619 45
## [577] {yogurt,
## sliced cheese} => {whole milk} 0.004575496 0.5696203 2.229294 45
## [578] {whole milk,
## sliced cheese} => {yogurt} 0.004575496 0.4245283 3.043175 45
## [579] {other vegetables,
## sliced cheese} => {whole milk} 0.004575496 0.5056180 1.978811 45
## [580] {whole milk,
## sliced cheese} => {other vegetables} 0.004575496 0.4245283 2.194028 45
## [581] {yogurt,
## long life bakery product} => {whole milk} 0.004575496 0.5232558 2.047840 45
## [582] {whole milk,
## long life bakery product} => {yogurt} 0.004575496 0.3383459 2.425387 45
## [583] {dessert,
## yogurt} => {other vegetables} 0.004575496 0.4639175 2.397598 45
## [584] {other vegetables,
## dessert} => {yogurt} 0.004575496 0.3947368 2.829619 45
## [585] {tropical fruit,
## white bread} => {whole milk} 0.004575496 0.5232558 2.047840 45
## [586] {yogurt,
## chocolate} => {whole milk} 0.004575496 0.4945055 1.935321 45
## [587] {beef,
## tropical fruit} => {whole milk} 0.004575496 0.6000000 2.348189 45
## [588] {beef,
## yogurt} => {root vegetables} 0.004575496 0.3913043 3.589998 45
## [589] {curd,
## whipped/sour cream} => {yogurt} 0.004575496 0.4368932 3.131811 45
## [590] {root vegetables,
## napkins} => {other vegetables} 0.004575496 0.4591837 2.373133 45
## [591] {other vegetables,
## napkins} => {root vegetables} 0.004575496 0.3169014 2.907393 45
## [592] {pork,
## whipped/sour cream} => {whole milk} 0.004575496 0.5555556 2.174249 45
## [593] {yogurt,
## margarine} => {rolls/buns} 0.004575496 0.3214286 1.747512 45
## [594] {rolls/buns,
## margarine} => {yogurt} 0.004575496 0.3103448 2.224666 45
## [595] {butter,
## domestic eggs} => {other vegetables} 0.004575496 0.4736842 2.448074 45
## [596] {citrus fruit,
## butter} => {other vegetables} 0.004575496 0.5000000 2.584078 45
## [597] {tropical fruit,
## butter} => {yogurt} 0.004575496 0.4591837 3.291597 45
## [598] {butter,
## yogurt} => {tropical fruit} 0.004575496 0.3125000 2.978137 45
## [599] {citrus fruit,
## whipped/sour cream} => {yogurt} 0.004575496 0.4205607 3.014734 45
## [600] {tropical fruit,
## whipped/sour cream} => {root vegetables} 0.004575496 0.3308824 3.035660 45
## [601] {pip fruit,
## bottled water} => {whole milk} 0.004575496 0.4326923 1.693406 45
## [602] {pastry,
## shopping bags} => {whole milk} 0.004575496 0.3846154 1.505250 45
## [603] {root vegetables,
## other vegetables,
## domestic eggs} => {whole milk} 0.004575496 0.6250000 2.446031 45
## [604] {root vegetables,
## whole milk,
## domestic eggs} => {other vegetables} 0.004575496 0.5357143 2.768655 45
## [605] {other vegetables,
## whole milk,
## domestic eggs} => {root vegetables} 0.004575496 0.3719008 3.411982 45
## [606] {cake bar} => {soda} 0.004473818 0.3384615 1.940973 44
## [607] {root vegetables,
## oil} => {whole milk} 0.004473818 0.6376812 2.495660 44
## [608] {whole milk,
## oil} => {root vegetables} 0.004473818 0.3963964 3.636715 44
## [609] {root vegetables,
## cream cheese } => {other vegetables} 0.004473818 0.5945946 3.072957 44
## [610] {other vegetables,
## cream cheese } => {root vegetables} 0.004473818 0.3259259 2.990188 44
## [611] {beef,
## tropical fruit} => {other vegetables} 0.004473818 0.5866667 3.031985 44
## [612] {curd,
## pastry} => {whole milk} 0.004473818 0.5945946 2.327035 44
## [613] {sausage,
## brown bread} => {other vegetables} 0.004473818 0.4190476 2.165703 44
## [614] {sausage,
## brown bread} => {whole milk} 0.004473818 0.4190476 1.640005 44
## [615] {tropical fruit,
## margarine} => {whole milk} 0.004473818 0.4782609 1.871745 44
## [616] {pip fruit,
## butter} => {whole milk} 0.004473818 0.6111111 2.391674 44
## [617] {butter,
## yogurt} => {rolls/buns} 0.004473818 0.3055556 1.661216 44
## [618] {butter,
## rolls/buns} => {yogurt} 0.004473818 0.3333333 2.389456 44
## [619] {citrus fruit,
## domestic eggs} => {other vegetables} 0.004473818 0.4313725 2.229400 44
## [620] {sausage,
## domestic eggs} => {whole milk} 0.004473818 0.4680851 1.831921 44
## [621] {whipped/sour cream,
## fruit/vegetable juice} => {whole milk} 0.004473818 0.4943820 1.934838 44
## [622] {pip fruit,
## rolls/buns} => {tropical fruit} 0.004473818 0.3211679 3.060742 44
## [623] {sausage,
## citrus fruit} => {other vegetables} 0.004473818 0.3963964 2.048638 44
## [624] {citrus fruit,
## soda} => {whole milk} 0.004473818 0.3492063 1.366671 44
## [625] {tropical fruit,
## other vegetables,
## whipped/sour cream} => {whole milk} 0.004473818 0.5714286 2.236371 44
## [626] {tropical fruit,
## whole milk,
## whipped/sour cream} => {other vegetables} 0.004473818 0.5641026 2.915370 44
## [627] {other vegetables,
## whole milk,
## whipped/sour cream} => {tropical fruit} 0.004473818 0.3055556 2.911956 44
## [628] {citrus fruit,
## tropical fruit,
## root vegetables} => {other vegetables} 0.004473818 0.7857143 4.060694 44
## [629] {citrus fruit,
## tropical fruit,
## other vegetables} => {root vegetables} 0.004473818 0.4943820 4.535678 44
## [630] {citrus fruit,
## root vegetables,
## other vegetables} => {tropical fruit} 0.004473818 0.4313725 4.110997 44
## [631] {tropical fruit,
## root vegetables,
## other vegetables} => {citrus fruit} 0.004473818 0.3636364 4.393567 44
## [632] {root vegetables,
## other vegetables,
## soda} => {whole milk} 0.004473818 0.5432099 2.125933 44
## [633] {root vegetables,
## whole milk,
## soda} => {other vegetables} 0.004473818 0.5500000 2.842486 44
## [634] {other vegetables,
## whole milk,
## soda} => {root vegetables} 0.004473818 0.3211679 2.946536 44
## [635] {other vegetables,
## baking powder} => {whole milk} 0.004372140 0.5972222 2.337318 43
## [636] {whole milk,
## baking powder} => {other vegetables} 0.004372140 0.4725275 2.442095 43
## [637] {other vegetables,
## hard cheese} => {whole milk} 0.004372140 0.4623656 1.809537 43
## [638] {whole milk,
## hard cheese} => {other vegetables} 0.004372140 0.4343434 2.244754 43
## [639] {hamburger meat,
## rolls/buns} => {whole milk} 0.004372140 0.5058824 1.979846 43
## [640] {curd,
## whipped/sour cream} => {other vegetables} 0.004372140 0.4174757 2.157579 43
## [641] {pip fruit,
## fruit/vegetable juice} => {other vegetables} 0.004372140 0.4574468 2.364156 43
## [642] {bottled water,
## fruit/vegetable juice} => {yogurt} 0.004372140 0.3071429 2.201713 43
## [643] {rolls/buns,
## fruit/vegetable juice} => {other vegetables} 0.004372140 0.3006993 1.554061 43
## [644] {whipped/sour cream,
## bottled water} => {whole milk} 0.004372140 0.5000000 1.956825 43
## [645] {other vegetables,
## butter,
## yogurt} => {whole milk} 0.004372140 0.6825397 2.671221 43
## [646] {whole milk,
## butter,
## yogurt} => {other vegetables} 0.004372140 0.4673913 2.415551 43
## [647] {other vegetables,
## whole milk,
## butter} => {yogurt} 0.004372140 0.3805310 2.727786 43
## [648] {tropical fruit,
## yogurt,
## whipped/sour cream} => {whole milk} 0.004372140 0.7049180 2.758802 43
## [649] {tropical fruit,
## whole milk,
## whipped/sour cream} => {yogurt} 0.004372140 0.5512821 3.951792 43
## [650] {whole milk,
## yogurt,
## whipped/sour cream} => {tropical fruit} 0.004372140 0.4018692 3.829829 43
## [651] {other vegetables,
## yogurt,
## soda} => {whole milk} 0.004372140 0.5243902 2.052279 43
## [652] {whole milk,
## yogurt,
## soda} => {other vegetables} 0.004372140 0.4174757 2.157579 43
## [653] {other vegetables,
## whole milk,
## soda} => {yogurt} 0.004372140 0.3138686 2.249926 43
## [654] {other vegetables,
## rolls/buns,
## soda} => {whole milk} 0.004372140 0.4432990 1.734917 43
## [655] {whole milk,
## rolls/buns,
## soda} => {other vegetables} 0.004372140 0.4942529 2.554376 43
## [656] {other vegetables,
## whole milk,
## soda} => {rolls/buns} 0.004372140 0.3138686 1.706411 43
## [657] {specialty cheese} => {other vegetables} 0.004270463 0.5000000 2.584078 42
## [658] {mustard} => {rolls/buns} 0.004270463 0.3559322 1.935099 42
## [659] {berries,
## whipped/sour cream} => {whole milk} 0.004270463 0.4719101 1.846891 42
## [660] {berries,
## whole milk} => {whipped/sour cream} 0.004270463 0.3620690 5.050990 42
## [661] {frozen vegetables,
## fruit/vegetable juice} => {whole milk} 0.004270463 0.5454545 2.134718 42
## [662] {frozen vegetables,
## rolls/buns} => {other vegetables} 0.004270463 0.4200000 2.170625 42
## [663] {pork,
## soda} => {whole milk} 0.004270463 0.3589744 1.404900 42
## [664] {root vegetables,
## bottled beer} => {other vegetables} 0.004270463 0.4421053 2.284869 42
## [665] {tropical fruit,
## newspapers} => {yogurt} 0.004270463 0.3620690 2.595443 42
## [666] {tropical fruit,
## newspapers} => {other vegetables} 0.004270463 0.3620690 1.871229 42
## [667] {tropical fruit,
## domestic eggs} => {yogurt} 0.004270463 0.3750000 2.688138 42
## [668] {whipped/sour cream,
## fruit/vegetable juice} => {other vegetables} 0.004270463 0.4719101 2.438905 42
## [669] {pastry,
## fruit/vegetable juice} => {whole milk} 0.004270463 0.5000000 1.956825 42
## [670] {citrus fruit,
## fruit/vegetable juice} => {whole milk} 0.004270463 0.4117647 1.611503 42
## [671] {sausage,
## pastry} => {yogurt} 0.004270463 0.3414634 2.447735 42
## [672] {spread cheese} => {rolls/buns} 0.004168785 0.3727273 2.026408 41
## [673] {root vegetables,
## herbs} => {whole milk} 0.004168785 0.5942029 2.325502 41
## [674] {herbs,
## whole milk} => {root vegetables} 0.004168785 0.5394737 4.949369 41
## [675] {meat,
## other vegetables} => {whole milk} 0.004168785 0.4183673 1.637343 41
## [676] {meat,
## whole milk} => {other vegetables} 0.004168785 0.4183673 2.162188 41
## [677] {yogurt,
## hard cheese} => {whole milk} 0.004168785 0.6507937 2.546978 41
## [678] {whole milk,
## hard cheese} => {yogurt} 0.004168785 0.4141414 2.968718 41
## [679] {butter milk,
## yogurt} => {other vegetables} 0.004168785 0.4880952 2.522552 41
## [680] {other vegetables,
## butter milk} => {yogurt} 0.004168785 0.4019608 2.881403 41
## [681] {chicken,
## whipped/sour cream} => {whole milk} 0.004168785 0.5774648 2.259995 41
## [682] {tropical fruit,
## white bread} => {other vegetables} 0.004168785 0.4767442 2.463888 41
## [683] {other vegetables,
## white bread} => {tropical fruit} 0.004168785 0.3037037 2.894308 41
## [684] {tropical fruit,
## frozen vegetables} => {other vegetables} 0.004168785 0.4767442 2.463888 41
## [685] {pork,
## beef} => {other vegetables} 0.004168785 0.5466667 2.825258 41
## [686] {rolls/buns,
## napkins} => {other vegetables} 0.004168785 0.3565217 1.842560 41
## [687] {frankfurter,
## yogurt} => {rolls/buns} 0.004168785 0.3727273 2.026408 41
## [688] {tropical fruit,
## brown bread} => {other vegetables} 0.004168785 0.3904762 2.018042 41
## [689] {brown bread,
## soda} => {other vegetables} 0.004168785 0.3306452 1.708826 41
## [690] {butter,
## fruit/vegetable juice} => {whole milk} 0.004168785 0.5189873 2.031134 41
## [691] {tropical fruit,
## newspapers} => {rolls/buns} 0.004168785 0.3534483 1.921594 41
## [692] {domestic eggs,
## pastry} => {whole milk} 0.004168785 0.4606742 1.802917 41
## [693] {domestic eggs,
## shopping bags} => {whole milk} 0.004168785 0.4606742 1.802917 41
## [694] {whipped/sour cream,
## pastry} => {other vegetables} 0.004168785 0.5540541 2.863438 41
## [695] {whipped/sour cream,
## pastry} => {whole milk} 0.004168785 0.5540541 2.168373 41
## [696] {pastry,
## shopping bags} => {soda} 0.004168785 0.3504274 2.009594 41
## [697] {citrus fruit,
## bottled water} => {tropical fruit} 0.004168785 0.3082707 2.937831 41
## [698] {citrus fruit,
## soda} => {yogurt} 0.004168785 0.3253968 2.332564 41
## [699] {citrus fruit,
## soda} => {other vegetables} 0.004168785 0.3253968 1.681701 41
## [700] {root vegetables,
## other vegetables,
## butter} => {whole milk} 0.004168785 0.6307692 2.468609 41
## [701] {root vegetables,
## whole milk,
## butter} => {other vegetables} 0.004168785 0.5061728 2.615980 41
## [702] {other vegetables,
## whole milk,
## butter} => {root vegetables} 0.004168785 0.3628319 3.328779 41
## [703] {root vegetables,
## yogurt,
## rolls/buns} => {other vegetables} 0.004168785 0.5774648 2.984428 41
## [704] {root vegetables,
## other vegetables,
## yogurt} => {rolls/buns} 0.004168785 0.3228346 1.755157 41
## [705] {root vegetables,
## other vegetables,
## rolls/buns} => {yogurt} 0.004168785 0.3416667 2.449192 41
## [706] {other vegetables,
## yogurt,
## rolls/buns} => {root vegetables} 0.004168785 0.3628319 3.328779 41
## [707] {herbs,
## other vegetables} => {whole milk} 0.004067107 0.5263158 2.059815 40
## [708] {herbs,
## whole milk} => {other vegetables} 0.004067107 0.5263158 2.720082 40
## [709] {tropical fruit,
## hygiene articles} => {whole milk} 0.004067107 0.6060606 2.371909 40
## [710] {whole milk,
## hygiene articles} => {tropical fruit} 0.004067107 0.3174603 3.025409 40
## [711] {white bread,
## soda} => {whole milk} 0.004067107 0.3960396 1.549960 40
## [712] {soda,
## chocolate} => {rolls/buns} 0.004067107 0.3007519 1.635099 40
## [713] {rolls/buns,
## chocolate} => {soda} 0.004067107 0.3448276 1.977481 40
## [714] {pork,
## whipped/sour cream} => {other vegetables} 0.004067107 0.4938272 2.552176 40
## [715] {brown bread,
## newspapers} => {whole milk} 0.004067107 0.5333333 2.087279 40
## [716] {domestic eggs,
## brown bread} => {whole milk} 0.004067107 0.5970149 2.336507 40
## [717] {root vegetables,
## brown bread} => {other vegetables} 0.004067107 0.4000000 2.067262 40
## [718] {rolls/buns,
## brown bread} => {other vegetables} 0.004067107 0.3225806 1.667147 40
## [719] {whipped/sour cream,
## margarine} => {whole milk} 0.004067107 0.5970149 2.336507 40
## [720] {tropical fruit,
## margarine} => {yogurt} 0.004067107 0.4347826 3.116681 40
## [721] {pip fruit,
## butter} => {other vegetables} 0.004067107 0.5555556 2.871198 40
## [722] {bottled water,
## newspapers} => {whole milk} 0.004067107 0.3603604 1.410324 40
## [723] {domestic eggs,
## pastry} => {other vegetables} 0.004067107 0.4494382 2.322767 40
## [724] {domestic eggs,
## bottled water} => {other vegetables} 0.004067107 0.4444444 2.296958 40
## [725] {whipped/sour cream,
## soda} => {yogurt} 0.004067107 0.3508772 2.515217 40
## [726] {pastry,
## bottled water} => {whole milk} 0.004067107 0.4545455 1.778931 40
## [727] {tropical fruit,
## pastry} => {rolls/buns} 0.004067107 0.3076923 1.672832 40
## [728] {citrus fruit,
## bottled water} => {yogurt} 0.004067107 0.3007519 2.155900 40
## [729] {bottled water,
## shopping bags} => {soda} 0.004067107 0.3703704 2.123961 40
## [730] {sausage,
## bottled water} => {soda} 0.004067107 0.3389831 1.943964 40
## [731] {other vegetables,
## yogurt,
## pastry} => {whole milk} 0.004067107 0.6153846 2.408399 40
## [732] {whole milk,
## yogurt,
## pastry} => {other vegetables} 0.004067107 0.4444444 2.296958 40
## [733] {other vegetables,
## whole milk,
## pastry} => {yogurt} 0.004067107 0.3846154 2.757064 40
## [734] {tropical fruit,
## other vegetables,
## rolls/buns} => {whole milk} 0.004067107 0.5194805 2.033064 40
## [735] {tropical fruit,
## whole milk,
## rolls/buns} => {other vegetables} 0.004067107 0.3703704 1.914132 40