I've datas as follows:
data=structure(list(Id = c(2L, 6L, 8L, 10L, 11L, 13L, 15L, 16L, 17L,
20L, 21L, 23L, 24L, 31L, 33L, 38L, 39L, 40L, 50L, 52L, 53L, 54L,
55L, 56L, 57L, 59L, 60L, 61L, 62L, 63L, 64L, 65L, 66L, 67L, 68L,
69L, 70L, 71L, 72L, 73L, 74L, 75L, 76L, 77L, 78L, 79L, 80L, 81L,
82L, 83L, 84L, 85L, 86L, 87L, 88L, 89L, 90L, 91L, 92L, 93L, 94L,
95L, 96L, 97L, 98L, 99L, 100L, 101L, 102L, 103L, 104L, 105L,
106L, 107L, 108L, 109L, 110L, 111L, 112L, 113L, 114L, 115L, 117L,
118L, 119L, 120L, 121L, 122L, 123L, 125L, 126L, 127L, 128L, 129L,
130L, 131L, 132L, 133L, 134L, 135L, 136L, 137L, 138L, 139L, 140L,
141L, 142L, 143L, 144L, 145L, 146L, 147L, 148L, 149L, 150L, 151L,
152L, 153L, 154L, 155L, 156L, 157L, 158L, 159L, 160L, 161L, 162L,
163L, 164L, 165L, 166L, 167L, 168L, 170L, 171L, 172L, 173L, 174L,
175L, 176L, 177L, 178L, 179L, 180L, 181L, 182L, 183L, 184L, 185L,
186L, 187L, 188L, 189L, 190L, 191L, 192L, 193L, 194L, 195L, 196L,
197L, 198L, 199L, 200L, 201L, 202L, 203L, 204L, 205L, 206L, 207L,
208L, 209L, 210L, 211L, 212L, 213L, 214L, 215L, 216L, 217L, 218L,
219L, 220L, 221L, 222L, 223L, 224L, 225L, 226L, 227L, 228L, 229L,
230L, 231L, 232L, 233L, 234L, 235L, 237L, 238L, 240L, 241L, 242L,
243L, 244L, 245L, 246L, 247L, 248L, 249L, 250L, 251L, 252L, 253L,
254L, 255L, 256L, 257L, 258L, 259L, 260L, 261L, 262L, 263L, 264L,
265L, 266L, 267L, 268L, 269L, 270L, 271L, 272L, 273L, 274L, 275L,
276L, 277L, 278L, 279L, 280L, 281L, 282L, 283L, 284L, 285L, 287L,
289L, 291L), `5` = c(1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 1, 0, 0), `3` = c(0, 1, 0, 1, 1, 0, 0.5, 1, 1, 0, 1, 1,
0.5, 1, 1, 0.5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 0.5, 1, 1, 1, 0, 0.5, 1, 0, 0.5, 1, 0, 1, 1, 1,
1, 0, 1, 1, 1, 1, 0, 1, 0.5, 1, 1, 1, 1, 1, 0.5, 1, 1, 0.5, 0,
1, 0.5, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1,
1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0.5, 1, 1,
1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0.5,
1, 0, 0.5, 0, 0, 1, 1, 0, 1, 0, 0.5, 1, 0, 0, 1, 1, 1, 1, 1,
1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0,
1, 0, 0, 0, 0, 0.5, 1, 0.5, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1,
1, 0.5, 0, 0, 0, 1, 0, 0, 0, 0.5, 0, 1, 0, 1, 0, 1, 0, 1, 1,
0, 1, 0, 1, 0.333333333333333, 0.5, 0, 0, 1, 1, 0, 1, 0, 0, 1,
0, 0, 1, 0, 0, 1, 1, 0.5, 1, 0, 0.5, 0, 0, 0, 1, 0, 0.5, 1, 0,
1, 0, 1, 0, 0, 0, 0, 1, 0), `1` = c(0, 0, 1, 0, 0, 0, 0.5, 0,
0, 1, 0, 0, 0.5, 0, 0, 0.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5, 0, 0, 0.5, 0,
0.5, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0.5, 0, 0, 0, 0, 0, 0.5,
0, 0, 0.5, 1, 0, 0.5, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0,
0, 0.5, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0.5, 0, 1, 0.5, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0,
1, 1, 0, 1, 0, 1, 1, 1, 1, 0.5, 0, 0.5, 0, 1, 1, 0, 1, 1, 1,
1, 0, 0, 0, 0, 0.5, 1, 1, 1, 0, 1, 1, 1, 0.5, 1, 0, 1, 0, 1,
0, 1, 0, 0, 1, 0, 1, 0, 0.333333333333333, 0, 0, 1, 0, 0, 1,
0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0.5, 0, 1, 0, 1, 1, 1, 0, 1,
0.5, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1), `2` = c(0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.333333333333333,
0.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), `4` = c(0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0), D = c(1,
0, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 1, 0, 0.5, 0.5, 0, 0.5, 0, 0,
0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1,
1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,
1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0.5, 0, 1, 1, 0, 1, 1, 1,
0, 0.5, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0.5, 1, 1, 1,
1, 1, 1, 0, 1, 0.5, 0.5, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0,
1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0.5,
1, 0.5, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0,
1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0,
0.5, 1, 1, 1, 1, 1, 0, 0.5, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1,
1, 0, 1, 0, 1, 1, 1, 1, 0.5, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1), B = c(0, 1, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,
0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), A = c(0, 0, 0.5, 0.5,
0.5, 0.5, 0.5, 0, 0, 1, 0.5, 0.5, 0, 0.5, 1, 1, 1, 1, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0, 0, 0, 0.5, 1, 0, 0, 1, 0, 0, 0, 1, 0.5, 1, 0,
0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0.5, 0, 0, 0, 0, 0, 0, 1, 0,
0.5, 0.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5, 0, 0.5, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5, 0, 0,
0, 0, 0, 0, 0.5, 0, 0, 1, 0, 1, 0.5, 1, 0, 0, 0, 0, 0, 1, 0,
1, 0, 0, 0, 0, 0.5, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0), E = c(0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), C = c(0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)), .Names = c("Id", "5", "3",
"1", "2", "4", "D", "B", "A", "E", "C"), row.names = c(NA, 250L
), class = "data.frame")
for Id
represent a customer. There is two products, the first product is represented by its few versions 1,2,3,4,5
and the product 2 is represented by versions A,B,C,D
.
A customer will buy the two types of products. He can also buy one or few versions of the same product. For example for the first product, he can buy version 1 and 3, and the second version A and B.
As you see in my datas, I ponderate the sum in order to have for sum(product1)=1 and sum(product2)=1.
I want to study the combinaison between choices between the two products (1,2,3,4,5
) and (A,B,C,D
) in the other side.
The typr of question that I'm trying to investigate, for example : Are poeple that take version 1 and 3 are more likely to take the version D of the other product ?
How to do this statistically ? because there is combinaison in the same product that complicate the analyses ?
Thanks you a lot !
EDIT 2 : I've used table before extracted information seperately and ponderate them :
A A,B A,D A,E B C D E
1 23 0 9 1 11 7 82 2
1,2 4 0 0 0 0 0 10 0
1,2,3 0 0 1 0 2 1 0 0
1,3 3 0 9 0 2 0 25 3
2 2 1 0 0 2 1 18 1
2,3 1 0 0 0 0 0 6 0
3 19 0 13 0 19 11 172 5
4 0 0 0 0 1 2 9 1
5 1 0 1 0 0 1 9 1
EDIT 3 :my original datas was, do you think that I should work with instead and do you have an idea which type of analyses suits this type of datas ?
data=structure(list(Id = c(2L, 6L, 8L, 10L, 11L, 13L, 15L, 16L, 17L,
20L, 21L, 23L, 24L, 31L, 33L, 38L, 39L, 40L, 50L, 52L, 53L, 54L,
55L, 56L, 57L, 59L, 60L, 61L, 62L, 63L, 64L, 65L, 66L, 67L, 68L,
69L, 70L, 71L, 72L, 73L, 74L, 75L, 76L, 77L, 78L, 79L, 80L, 81L,
82L, 83L, 84L, 85L, 86L, 87L, 88L, 89L, 90L, 91L, 92L, 93L, 94L,
95L, 96L, 97L, 98L, 99L, 100L, 101L, 102L, 103L, 104L, 105L,
106L, 107L, 108L, 109L, 110L, 111L, 112L, 113L, 114L, 115L, 117L,
118L, 119L, 120L, 121L, 122L, 123L, 125L, 126L, 127L, 128L, 129L,
130L, 131L, 132L, 133L, 134L, 135L, 136L, 137L, 138L, 139L, 140L,
141L, 142L, 143L, 144L, 145L, 146L, 147L, 148L, 149L, 150L, 151L,
152L, 153L, 154L, 155L, 156L, 157L, 158L, 159L, 160L, 161L, 162L,
163L, 164L, 165L, 166L, 167L, 168L, 170L, 171L, 172L, 173L, 174L,
175L, 176L, 177L, 178L, 179L, 180L, 181L, 182L, 183L, 184L, 185L,
186L, 187L, 188L, 189L, 190L, 191L, 192L, 193L, 194L, 195L, 196L,
197L, 198L, 199L, 200L, 201L, 202L, 203L, 204L, 205L, 206L, 207L,
208L, 209L, 210L, 211L, 212L, 213L, 214L, 215L, 216L, 217L, 218L,
219L, 220L, 221L, 222L, 223L, 224L, 225L, 226L, 227L, 228L, 229L,
230L, 231L, 232L, 233L, 234L, 235L, 237L, 238L, 240L, 241L, 242L,
243L, 244L, 245L, 246L, 247L, 248L, 249L, 250L, 251L, 252L, 253L,
254L, 255L, 256L, 257L, 258L, 259L, 260L, 261L, 262L, 263L, 264L,
265L, 266L, 267L, 268L, 269L, 270L, 271L, 272L, 273L, 274L, 275L,
276L, 277L, 278L, 279L, 280L, 281L, 282L, 283L, 284L, 285L, 287L,
289L, 291L, 292L, 293L, 294L, 295L, 296L, 297L, 298L, 299L, 300L,
301L, 302L, 303L, 304L, 305L, 306L, 308L, 309L, 310L, 311L, 312L,
313L, 314L, 315L, 316L, 317L, 318L, 319L, 320L, 321L, 322L, 323L,
324L, 325L, 326L, 327L, 328L, 329L, 330L, 334L, 335L, 336L, 337L,
338L, 339L, 340L, 342L, 343L, 344L, 345L, 346L, 347L, 348L, 349L,
350L, 351L, 352L, 353L, 354L, 355L, 356L, 357L, 358L, 359L, 360L,
361L, 362L, 363L, 364L, 365L, 366L, 367L, 368L, 369L, 370L, 371L,
372L, 373L, 374L, 376L, 377L, 378L, 379L, 380L, 381L, 382L, 383L,
384L, 385L, 386L, 387L, 388L, 389L, 391L, 392L, 393L, 395L, 396L,
397L, 398L, 399L, 400L, 401L, 402L, 403L, 404L, 405L, 406L, 407L,
408L, 409L, 410L, 411L, 412L, 413L, 414L, 415L, 416L, 417L, 418L,
419L, 420L, 421L, 422L, 423L, 424L, 425L, 426L, 427L, 429L, 430L,
431L, 432L, 433L, 435L, 436L, 437L, 438L, 439L, 440L, 441L, 442L,
443L, 444L, 445L, 446L, 447L, 448L, 449L, 450L, 451L, 452L, 453L,
454L, 455L, 456L, 457L, 458L, 459L, 460L, 461L, 462L, 463L, 464L,
465L, 466L, 467L, 468L, 469L, 470L, 471L, 472L, 473L, 474L, 475L,
476L, 477L, 478L, 479L, 480L, 481L, 482L, 483L, 484L, 485L, 486L,
487L, 488L, 489L, 490L, 491L, 492L, 493L, 494L, 495L, 496L, 497L,
498L, 499L, 500L, 501L, 502L, 503L, 504L, 505L, 506L, 507L, 508L,
509L, 510L, 511L, 512L, 513L, 514L, 515L, 516L, 517L, 518L, 519L,
520L, 521L, 523L, 524L, 525L, 526L, 527L, 528L, 529L, 530L, 531L,
532L, 533L, 534L, 535L, 536L, 538L, 539L, 540L, 541L, 542L, 543L,
544L, 545L), Product1 = c("5", "3", "1", "3", "3", "5", "1,3",
"3", "3", "1", "3", "3", "1,3", "3", "3", "1,3", "3", "3", "3",
"3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3",
"3", "3", "3", "3", "2,3", "3", "3", "3", "5", "1,3", "3", "5",
"1,3", "3", "1,2", "3", "3", "3", "3", "1", "3", "3", "3", "3",
"4", "3", "1,3", "3", "3", "3", "3", "3", "1,3", "3", "3", "1,3",
"1", "3", "1,3", "3", "1", "3", "3", "1", "3", "3", "1", "3",
"3", "5", "3", "3", "5", "3", "3", "3", "3", "3", "3", "3", "1",
"1", "3", "3", "1", "2", "2", "3", "3", "1", "3", "3", "3", "3",
"1,3", "3", "3", "3", "2", "1", "4", "4", "3", "5", "3", "3",
"3", "3", "3", "3", "3", "3", "3", "3", "4", "2", "1,3", "3",
"1", "1,3", "1", "1", "3", "3", "1", "3", "1", "2,3", "3", "4",
"4", "3", "3", "3", "3", "3", "3", "1", "1", "3", "3", "3", "3",
"3", "3", "3", "3", "1", "3", "1", "3", "3", "3", "1", "1", "4",
"1", "3", "1", "1", "1", "1", "1,3", "3", "1,3", "4", "1", "1",
"3", "1", "1", "1", "1", "3", "3", "3", "3", "1,3", "1", "1",
"1", "3", "1", "1", "1", "1,3", "1", "3", "1", "3", "1", "3",
"1", "3", "3", "1", "3", "1", "3", "1,2,3", "2,3", "5", "1",
"3", "3", "1", "3", "1", "5", "3", "1", "1", "3", "1", "1", "3",
"3", "1,3", "3", "1", "2,3", "1", "1", "1", "3", "1", "1,3",
"3", "1", "3", "4", "3", "1", "1", "1", "5", "3", "1", "1", "1",
"3", "3", "3", "3", "1,2", "3", "1", "1", "1,3", "3", "1", "1",
"1", "3", "1,3", "3", "3", "3", "1", "3", "3", "3", "3", "3",
"4", "1", "1", "3", "1,3", "1", "1", "3", "1", "1", "1", "1,3",
"3", "1", "1,3", "3", "1", "1", "3", "3", "3", "1,3", "1", "1",
"3", "1", "3", "3", "3", "5", "1", "1,2", "1", "1", "2", "3",
"2", "1,3", "3", "3", "1", "1", "1,3", "3", "1", "3", "1", "1",
"3", "1", "1", "3", "2", "2,3", "4", "1", "1", "3", "1", "3",
"1,2", "2", "1,3", "1", "3", "3", "1", "3", "3", "1,2", "1",
"3", "3", "3", "3", "3", "1", "1,3", "1", "3", "1", "3", "4",
"3", "1,3", "1,2", "3", "3", "1", "3", "1", "1,3", "3", "1",
"1,3", "1", "5", "3", "3", "2", "1,3", "3", "1,3", "3", "3",
"1,2", "3", "1,3", "3", "3", "1", "1,2", "1,2", "3", "2", "1,2,3",
"1", "3", "3", "3", "1", "1", "3", "5", "3", "1,2,3", "3", "3",
"3", "1", "1,2", "3", "1", "3", "3", "1,3", "1,3", "2", "3",
"3", "1", "3", "1,2", "2", "2,3", "2", "3", "1,3", "2", "3",
"3", "1", "1", "3", "1,3", "3", "2", "2", "3", "2,3", "1", "1",
"1", "1", "3", "3", "1", "4", "3", "2", "1", "1", "2", "1", "1",
"3", "3", "1,3", "1,3", "2", "1,2", "3", "3", "3", "2", "3",
"1,2", "1,3", "3", "1,2", "1", "3", "3", "2", "1", "3", "3",
"1", "3", "1,3", "3", "2", "3", "2", "3", "1,2,3", "1", "1",
"3", "1", "1", "1", "1", "2", "2", "1"), Product2 = c("D", "B",
"A,D", "A,D", "A,D", "A,D", "A,D", "D", "D", "A", "A,D", "A,D",
"E", "A,D", "A", "A", "A", "A", "C", "D", "B", "C", "D", "D",
"D", "D", "D", "D", "D", "D", "D", "D", "D", "A", "D", "D", "D",
"D", "A", "D", "D", "D", "D", "D", "D", "D", "D", "D", "D", "D",
"D", "D", "D", "D", "D", "D", "C", "D", "D", "D", "D", "D", "D",
"A", "D", "D", "D", "D", "D", "D", "A,D", "A", "D", "D", "A",
"D", "D", "D", "A", "A,D", "A", "D", "D", "A", "A", "D", "D",
"D", "A", "D", "D", "D", "D", "A,D", "D", "D", "D", "D", "D",
"D", "A", "D", "A,D", "A,D", "D", "D", "B", "B", "D", "D", "D",
"D", "D", "D", "D", "C", "D", "D", "D", "B", "D", "A", "D", "D",
"C", "D", "D", "D", "D", "B", "D", "D", "D", "B", "B", "D", "A,D",
"D", "A,D", "D", "D", "D", "D", "B", "D", "D", "D", "D", "D",
"D", "D", "C", "D", "D", "D", "D", "E", "D", "D", "B", "D", "D",
"D", "D", "D", "D", "A", "D", "A", "D", "D", "D", "D", "D", "D",
"D", "D", "B", "A,D", "D", "D", "D", "D", "D", "B", "A,D", "D",
"D", "A", "D", "A", "A,E", "A", "B", "D", "D", "D", "D", "A",
"D", "A", "D", "D", "D", "D", "A,D", "D", "A", "D", "D", "B",
"B", "D", "D", "B", "D", "D", "D", "D", "D", "D", "D", "D", "D",
"D", "D", "D", "D", "D", "D", "D", "D", "D", "D", "D", "D", "D",
"D", "D", "D", "D", "D", "D", "D", "D", "D", "D", "D", "D", "D",
"B", "D", "D", "D", "D", "B", "A", "D", "D", "C", "D", "E", "B",
"A,D", "C", "D", "D", "D", "D", "B", "D", "D", "D", "D", "A",
"A", "D", "B", "D", "D", "A,D", "A,D", "D", "C", "D", "A", "D",
"D", "D", "D", "D", "B", "B", "B", "B", "C", "B", "A,D", "C",
"A", "D", "A", "A", "D", "D", "D", "B", "D", "D", "A,D", "B",
"B", "D", "D", "D", "D", "D", "A", "A,D", "D", "D", "A", "A",
"D", "D", "D", "D", "D", "C", "D", "C", "D", "C", "D", "A", "D",
"D", "D", "B", "D", "D", "E", "E", "D", "D", "D", "A", "D", "B",
"D", "D", "D", "D", "D", "D", "D", "D", "A", "D", "D", "D", "D",
"D", "D", "A", "D", "A,D", "A,D", "D", "D", "D", "D", "D", "B",
"D", "E", "D", "B", "A", "D", "D", "D", "D", "D", "D", "D", "D",
"D", "D", "C", "D", "C", "D", "C", "D", "D", "D", "D", "B", "E",
"D", "B", "D", "D", "D", "D", "D", "D", "D", "D", "A,D", "D",
"E", "D", "A,D", "A,D", "D", "D", "D", "D", "D", "D", "D", "A,D",
"D", "D", "E", "A", "D", "E", "A", "D", "D", "D", "D", "A", "B",
"A", "D", "D", "D", "C", "A", "E", "D", "A,B", "D", "E", "A",
"D", "A", "D", "C", "E", "A,D", "D", "A", "D", "D", "D", "D",
"D", "A", "D", "D", "A", "D", "D", "D", "D", "A", "C", "D", "C",
"D", "A,D", "D", "D", "D", "A", "D", "A,D", "A", "C", "D", "D",
"D", "D", "D", "D", "B", "C")), .Names = c("Id", "Product1",
"Product2"), row.names = c(2L, 6L, 8L, 10L, 11L, 13L, 15L, 16L,
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520L, 521L, 523L, 524L, 525L, 526L, 527L, 528L, 529L, 530L, 531L,
532L, 533L, 534L, 535L, 536L, 538L, 539L, 540L, 541L, 542L, 543L,
544L, 545L), class = "data.frame")