In this report we aim to find out the proper way to detect outliers in tax data, especially which type of data to use in the analysis. Three different approaches are explored: Hierarchical cluster based only on original data, Hierarchical cluster based only on ratio data and Hierarchical cluster based only on all data. Since no labels in the dataset are avalible, the performance of this analysis is to be evaluated by hand.
1.Remove all the “DIV/0!” with “0”.
2.Copy and paste spacial with only values to another worksheet.
library(xlsx)
## Loading required package: rJava
## Loading required package: xlsxjars
library(lattice)
## set word directory
setwd("/Users/xiangjiang/Documents/Tax/data/nashuipinggushuju/Chu Bu Zheng Li Shu Ju/qiyesuodeshuipeibishuju/")
## read data
data <- read.xlsx("08-09peibishuju.xls", sheetName = "Sheet2")
## remove irrelevant attributes
data[c("纳税人识别号", "所属年度", "纳税人名称.1", "纳税人识别号.1",
"所属时期")] <- list(NULL)
## summary of data
summary(data)
## 纳税人名称 销售.营业.收入 营业成本
## 武汉东尼文化传播有限公司 : 2 Min. : 0 Min. : 0
## 武汉信文科技有限公司 : 2 1st Qu.: 0 1st Qu.: 0
## 武汉欣网创业科技开发有限公司: 2 Median : 66342 Median : 404
## 武汉联宇技术股份有限公司 : 2 Mean : 1825048 Mean : 818787
## 武汉蓝筹科技有限公司 : 2 3rd Qu.: 1072090 3rd Qu.: 516694
## 武汉适普软件有限公司 : 2 Max. :33243472 Max. :21763076
## (Other) :256
## 营业税金及附加 销售费用 管理费用 财务费用
## Min. : 0 Min. : 0 Min. : -8238 Min. :-2095593
## 1st Qu.: 0 1st Qu.: 0 1st Qu.: 10952 1st Qu.: -786
## Median : 925 Median : 0 Median : 167762 Median : 0
## Mean : 49901 Mean : 230820 Mean : 779259 Mean : 19413
## 3rd Qu.: 29336 3rd Qu.: 66243 3rd Qu.: 789673 3rd Qu.: 74
## Max. :1823625 Max. :7999472 Max. :25340733 Max. : 6472155
##
## 营业利润 利润总额 纳税调整后所得
## Min. :-26305537 Min. :-26305537 Min. :-7121308
## 1st Qu.: -252986 1st Qu.: -193393 1st Qu.: -178207
## Median : -33044 Median : -26785 Median : -19421
## Mean : -91999 Mean : 40481 Mean : 116358
## 3rd Qu.: -95 3rd Qu.: 0 3rd Qu.: 0
## Max. : 21683929 Max. : 24931466 Max. :24974787
##
## 应纳税所得额 税率 应纳所得税额 应纳税额
## Min. : 0 Min. :0.25 Min. : 0 Min. : 0
## 1st Qu.: 0 1st Qu.:0.25 1st Qu.: 0 1st Qu.: 0
## Median : 0 Median :0.25 Median : 0 Median : 0
## Mean : 312654 Mean :0.25 Mean : 78163 Mean : 23522
## 3rd Qu.: 0 3rd Qu.:0.25 3rd Qu.: 0 3rd Qu.: 0
## Max. :24974787 Max. :0.25 Max. :6243697 Max. :2493976
##
## 实际应纳所得税额 销售.营业.收入.1 营业成本.1 营业税金及附加.1
## Min. : 0 Min. : 0 Min. : 0 Min. :-187572
## 1st Qu.: 0 1st Qu.: 0 1st Qu.: 0 1st Qu.: 0
## Median : 0 Median : 118549 Median : 9825 Median : 1221
## Mean : 23522 Mean : 2322165 Mean : 1050660 Mean : 64420
## 3rd Qu.: 0 3rd Qu.: 1553107 3rd Qu.: 585735 3rd Qu.: 33167
## Max. :2493976 Max. :35801173 Max. :19222366 Max. :1555878
##
## 销售费用.1 管理费用.1 财务费用.1
## Min. : 0 Min. : 0 Min. :-1438361
## 1st Qu.: 0 1st Qu.: 19665 1st Qu.: -222
## Median : 0 Median : 248969 Median : 0
## Mean : 215204 Mean : 1083305 Mean : 919
## 3rd Qu.: 82015 3rd Qu.: 924446 3rd Qu.: 264
## Max. :5729856 Max. :34186035 Max. : 2271655
##
## 营业利润.1 利润总额.1 纳税调整后所得.1
## Min. :-12167239 Min. :-12108653 Min. :-9527909
## 1st Qu.: -263373 1st Qu.: -197409 1st Qu.: -207653
## Median : -42440 Median : -40739 Median : -38312
## Mean : 43 Mean : 143090 Mean : 164058
## 3rd Qu.: 0 3rd Qu.: 0 3rd Qu.: 0
## Max. : 22445680 Max. : 26858399 Max. :19854072
##
## 应纳税所得额.1 税率.1 应纳所得税额.1 应纳税额.1
## Min. : 0 Min. :0.25 Min. : 0 Min. : 0
## 1st Qu.: 0 1st Qu.:0.25 1st Qu.: 0 1st Qu.: 0
## Median : 0 Median :0.25 Median : 0 Median : 0
## Mean : 352477 Mean :0.25 Mean : 88358 Mean : 48288
## 3rd Qu.: 0 3rd Qu.:0.25 3rd Qu.: 0 3rd Qu.: 0
## Max. :19854072 Max. :0.25 Max. :4963518 Max. :2481759
##
## 实际应纳所得税额.1 主营业务收入变动率 主营业务成本变动率 成本费用率
## Min. : 0 Min. :-1.00 Min. : -1.00 Min. : 0.0
## 1st Qu.: 0 1st Qu.:-0.31 1st Qu.: -0.12 1st Qu.: 0.0
## Median : 0 Median : 0.00 Median : 0.00 Median : 0.2
## Mean : 48288 Mean : 0.72 Mean : 1.87 Mean : 5.0
## 3rd Qu.: 0 3rd Qu.: 0.11 3rd Qu.: 0.00 3rd Qu.: 1.9
## Max. :2481759 Max. :46.30 Max. :137.03 Max. :646.3
##
## 成本费用利润率 主营业务利润变动率 其他业务利润变动率 X08年所得税负担率
## Min. :-4.406 Min. :-463.3 Min. :-211.0 Min. :-0.2105
## 1st Qu.:-0.984 1st Qu.: -0.8 1st Qu.: 0.0 1st Qu.: 0.0000
## Median :-0.459 Median : 0.0 Median : 0.0 Median : 0.0000
## Mean :-0.276 Mean : 1.8 Mean : 5.6 Mean : 0.0424
## 3rd Qu.: 0.000 3rd Qu.: 0.8 3rd Qu.: 0.0 3rd Qu.: 0.0000
## Max. :16.362 Max. : 686.9 Max. :1589.7 Max. : 1.5619
##
## 所得税税收负担率 主营业务利润税收负担率 应纳税所得额变动率
## Min. : 0.000 Min. :-0.053 Min. :-1.00
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.00
## Median : 0.000 Median : 0.000 Median : 0.00
## Mean : 0.109 Mean : 0.056 Mean : 0.27
## 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.00
## Max. :12.624 Max. : 6.225 Max. :48.24
##
## 所得税贡献率 所得税负担变动率 营业收入与营业成本变动配比分析
## Min. : 0.000 Min. :-2.585 Min. :-141.23
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.: 0.00
## Median : 0.000 Median : 0.000 Median : 0.00
## Mean : 0.109 Mean : 0.065 Mean : -0.44
## 3rd Qu.: 0.000 3rd Qu.: 0.000 3rd Qu.: 0.79
## Max. :28.206 Max. :24.494 Max. : 30.27
##
## 营业收入与营业成本变动率配比分析 成本与利润配比
## Min. :-113.1 Min. :-334.7
## 1st Qu.: -0.1 1st Qu.: 0.0
## Median : 0.0 Median : 0.0
## Mean : 3.0 Mean : -1.5
## 3rd Qu.: 0.2 3rd Qu.: 0.0
## Max. : 921.5 Max. : 254.7
##
Here original data refers to data without ratio.
data_orig <- data[2:29]
## computes and returns the distance matrix computed by using the specified
## distance measure to compute the distances between the rows of a data
## matrix
d <- dist(as.matrix(data_orig))
## apply hirarchical clustering
hc <- hclust(d)
pdf("Hierarchical cluster based only on original data.pdf", width = 50, height = 50)
## plot the dendrogram
plot(hc, main = "Hierarchical cluster based only on original data")
dev.off()
## pdf
## 2
plot(hc, labels = FALSE, main = "Hierarchical cluster based only on original data")
print("Please find detail in .pdf file")
## [1] "Please find detail in .pdf file"
Distribution for different number of clusters are (ranging from 2 to 15 clusters):
counts = sapply(2:15, function(ncl) table(cutree(hc, ncl)))
names(counts) = 2:15
counts
## $`2`
##
## 1 2
## 267 1
##
## $`3`
##
## 1 2 3
## 258 9 1
##
## $`4`
##
## 1 2 3 4
## 257 9 1 1
##
## $`5`
##
## 1 2 3 4 5
## 257 8 1 1 1
##
## $`6`
##
## 1 2 3 4 5 6
## 257 7 1 1 1 1
##
## $`7`
##
## 1 2 3 4 5 6 7
## 248 9 7 1 1 1 1
##
## $`8`
##
## 1 2 3 4 5 6 7 8
## 247 9 7 1 1 1 1 1
##
## $`9`
##
## 1 2 3 4 5 6 7 8 9
## 247 7 7 1 1 1 2 1 1
##
## $`10`
##
## 1 2 3 4 5 6 7 8 9 10
## 247 7 3 1 4 1 1 2 1 1
##
## $`11`
##
## 1 2 3 4 5 6 7 8 9 10 11
## 247 3 3 4 1 4 1 1 2 1 1
##
## $`12`
##
## 1 2 3 4 5 6 7 8 9 10 11 12
## 247 3 1 4 1 4 1 2 1 2 1 1
##
## $`13`
##
## 1 2 3 4 5 6 7 8 9 10 11 12 13
## 236 3 1 11 4 1 4 1 2 1 2 1 1
##
## $`14`
##
## 1 2 3 4 5 6 7 8 9 10 11 12 13 14
## 236 3 1 10 4 1 4 1 1 2 1 2 1 1
##
## $`15`
##
## 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
## 236 3 1 10 4 1 1 1 3 1 2 1 2 1 1
For each cluster, the members are:
## we pass the cutree function the cluster object and the number of clusters
## we're interested in Cuts a tree, e.g., as resulting from hclust, into
## several groups either by specifying the desired number(s) of groups or the
## cut height(s).
for (numClusters in c(2:15)) {
print("===============================")
print("When number of clusters are:")
print(numClusters)
mCluster = cutree(hc, numClusters)
for (memCluster in c(1:numClusters)) {
print("members of cluster ")
print(memCluster)
print(which(mCluster == memCluster))
# print('Scatter plot for different observations are:')
# print(splom(~data_orig,groups=mCluster,auto.key=TRUE))
}
}
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 2
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
## [18] 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34
## [35] 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51
## [52] 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68
## [69] 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85
## [86] 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102
## [103] 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119
## [120] 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136
## [137] 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153
## [154] 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170
## [171] 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187
## [188] 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204
## [205] 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221
## [222] 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238
## [239] 239 240 241 242 244 245 246 247 248 249 250 251 252 253 254 255 256
## [256] 257 258 259 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 3
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18
## [18] 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
## [35] 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52
## [52] 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69
## [69] 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86
## [86] 87 88 89 90 91 92 94 95 96 97 98 99 100 101 102 103 104
## [103] 106 107 109 110 111 112 113 114 115 116 117 118 121 122 123 125 126
## [120] 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143
## [137] 144 145 146 147 148 150 151 152 153 154 155 156 157 158 159 160 161
## [154] 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178
## [171] 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195
## [188] 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212
## [205] 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229
## [222] 230 232 233 234 235 236 237 238 239 240 241 242 244 245 246 247 248
## [239] 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265
## [256] 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 13 93 105 108 119 120 124 149 231
## [1] "members of cluster "
## [1] 3
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 4
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18
## [18] 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
## [35] 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52
## [52] 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69
## [69] 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86
## [86] 87 88 89 90 91 92 94 95 96 97 98 99 100 101 102 103 104
## [103] 106 107 109 110 111 112 113 114 115 116 117 118 121 122 123 125 126
## [120] 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143
## [137] 144 145 146 147 148 150 151 152 153 154 155 156 157 158 159 160 161
## [154] 162 163 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179
## [171] 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196
## [188] 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213
## [205] 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230
## [222] 232 233 234 235 236 237 238 239 240 241 242 244 245 246 247 248 249
## [239] 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266
## [256] 267 268
## [1] "members of cluster "
## [1] 2
## [1] 13 93 105 108 119 120 124 149 231
## [1] "members of cluster "
## [1] 3
## [1] 164
## [1] "members of cluster "
## [1] 4
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 5
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18
## [18] 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
## [35] 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52
## [52] 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69
## [69] 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86
## [86] 87 88 89 90 91 92 94 95 96 97 98 99 100 101 102 103 104
## [103] 106 107 109 110 111 112 113 114 115 116 117 118 121 122 123 125 126
## [120] 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143
## [137] 144 145 146 147 148 150 151 152 153 154 155 156 157 158 159 160 161
## [154] 162 163 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179
## [171] 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196
## [188] 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213
## [205] 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230
## [222] 232 233 234 235 236 237 238 239 240 241 242 244 245 246 247 248 249
## [239] 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266
## [256] 267 268
## [1] "members of cluster "
## [1] 2
## [1] 13 105 108 119 120 124 149 231
## [1] "members of cluster "
## [1] 3
## [1] 93
## [1] "members of cluster "
## [1] 4
## [1] 164
## [1] "members of cluster "
## [1] 5
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 6
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18
## [18] 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
## [35] 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52
## [52] 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69
## [69] 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86
## [86] 87 88 89 90 91 92 94 95 96 97 98 99 100 101 102 103 104
## [103] 106 107 109 110 111 112 113 114 115 116 117 118 121 122 123 125 126
## [120] 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143
## [137] 144 145 146 147 148 150 151 152 153 154 155 156 157 158 159 160 161
## [154] 162 163 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179
## [171] 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196
## [188] 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213
## [205] 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230
## [222] 232 233 234 235 236 237 238 239 240 241 242 244 245 246 247 248 249
## [239] 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266
## [256] 267 268
## [1] "members of cluster "
## [1] 2
## [1] 13 105 108 119 124 149 231
## [1] "members of cluster "
## [1] 3
## [1] 93
## [1] "members of cluster "
## [1] 4
## [1] 120
## [1] "members of cluster "
## [1] 5
## [1] 164
## [1] "members of cluster "
## [1] 6
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 7
## [1] "members of cluster "
## [1] 1
## [1] 1 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19
## [18] 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
## [35] 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53
## [52] 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71
## [69] 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88
## [86] 89 90 91 92 94 95 96 97 98 99 100 101 102 103 104 106 107
## [103] 109 110 111 112 113 114 115 116 117 118 123 125 126 127 129 130 131
## [120] 133 134 135 136 137 138 139 140 141 142 143 144 146 147 148 150 151
## [137] 152 153 154 155 156 157 159 160 161 162 163 165 166 167 168 169 170
## [154] 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187
## [171] 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204
## [188] 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221
## [205] 222 223 224 225 226 227 228 229 230 232 233 234 235 236 237 238 239
## [222] 240 241 242 244 245 246 247 248 249 250 251 252 253 254 255 256 257
## [239] 259 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 2 70 121 122 128 132 145 158 258
## [1] "members of cluster "
## [1] 3
## [1] 13 105 108 119 124 149 231
## [1] "members of cluster "
## [1] 4
## [1] 93
## [1] "members of cluster "
## [1] 5
## [1] 120
## [1] "members of cluster "
## [1] 6
## [1] 164
## [1] "members of cluster "
## [1] 7
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 8
## [1] "members of cluster "
## [1] 1
## [1] 1 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19
## [18] 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
## [35] 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53
## [52] 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71
## [69] 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88
## [86] 89 90 91 92 94 95 96 97 98 99 100 101 102 103 104 106 107
## [103] 109 110 111 112 113 114 115 116 117 118 123 126 127 129 130 131 133
## [120] 134 135 136 137 138 139 140 141 142 143 144 146 147 148 150 151 152
## [137] 153 154 155 156 157 159 160 161 162 163 165 166 167 168 169 170 171
## [154] 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188
## [171] 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205
## [188] 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222
## [205] 223 224 225 226 227 228 229 230 232 233 234 235 236 237 238 239 240
## [222] 241 242 244 245 246 247 248 249 250 251 252 253 254 255 256 257 259
## [239] 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 2 70 121 122 128 132 145 158 258
## [1] "members of cluster "
## [1] 3
## [1] 13 105 108 119 124 149 231
## [1] "members of cluster "
## [1] 4
## [1] 93
## [1] "members of cluster "
## [1] 5
## [1] 120
## [1] "members of cluster "
## [1] 6
## [1] 125
## [1] "members of cluster "
## [1] 7
## [1] 164
## [1] "members of cluster "
## [1] 8
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 9
## [1] "members of cluster "
## [1] 1
## [1] 1 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19
## [18] 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
## [35] 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53
## [52] 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71
## [69] 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88
## [86] 89 90 91 92 94 95 96 97 98 99 100 101 102 103 104 106 107
## [103] 109 110 111 112 113 114 115 116 117 118 123 126 127 129 130 131 133
## [120] 134 135 136 137 138 139 140 141 142 143 144 146 147 148 150 151 152
## [137] 153 154 155 156 157 159 160 161 162 163 165 166 167 168 169 170 171
## [154] 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188
## [171] 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205
## [188] 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222
## [205] 223 224 225 226 227 228 229 230 232 233 234 235 236 237 238 239 240
## [222] 241 242 244 245 246 247 248 249 250 251 252 253 254 255 256 257 259
## [239] 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 2 70 121 122 128 132 145
## [1] "members of cluster "
## [1] 3
## [1] 13 105 108 119 124 149 231
## [1] "members of cluster "
## [1] 4
## [1] 93
## [1] "members of cluster "
## [1] 5
## [1] 120
## [1] "members of cluster "
## [1] 6
## [1] 125
## [1] "members of cluster "
## [1] 7
## [1] 158 258
## [1] "members of cluster "
## [1] 8
## [1] 164
## [1] "members of cluster "
## [1] 9
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 10
## [1] "members of cluster "
## [1] 1
## [1] 1 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19
## [18] 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
## [35] 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53
## [52] 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71
## [69] 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88
## [86] 89 90 91 92 94 95 96 97 98 99 100 101 102 103 104 106 107
## [103] 109 110 111 112 113 114 115 116 117 118 123 126 127 129 130 131 133
## [120] 134 135 136 137 138 139 140 141 142 143 144 146 147 148 150 151 152
## [137] 153 154 155 156 157 159 160 161 162 163 165 166 167 168 169 170 171
## [154] 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188
## [171] 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205
## [188] 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222
## [205] 223 224 225 226 227 228 229 230 232 233 234 235 236 237 238 239 240
## [222] 241 242 244 245 246 247 248 249 250 251 252 253 254 255 256 257 259
## [239] 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 2 70 121 122 128 132 145
## [1] "members of cluster "
## [1] 3
## [1] 13 124 149
## [1] "members of cluster "
## [1] 4
## [1] 93
## [1] "members of cluster "
## [1] 5
## [1] 105 108 119 231
## [1] "members of cluster "
## [1] 6
## [1] 120
## [1] "members of cluster "
## [1] 7
## [1] 125
## [1] "members of cluster "
## [1] 8
## [1] 158 258
## [1] "members of cluster "
## [1] 9
## [1] 164
## [1] "members of cluster "
## [1] 10
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 11
## [1] "members of cluster "
## [1] 1
## [1] 1 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19
## [18] 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
## [35] 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53
## [52] 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71
## [69] 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88
## [86] 89 90 91 92 94 95 96 97 98 99 100 101 102 103 104 106 107
## [103] 109 110 111 112 113 114 115 116 117 118 123 126 127 129 130 131 133
## [120] 134 135 136 137 138 139 140 141 142 143 144 146 147 148 150 151 152
## [137] 153 154 155 156 157 159 160 161 162 163 165 166 167 168 169 170 171
## [154] 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188
## [171] 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205
## [188] 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222
## [205] 223 224 225 226 227 228 229 230 232 233 234 235 236 237 238 239 240
## [222] 241 242 244 245 246 247 248 249 250 251 252 253 254 255 256 257 259
## [239] 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 2 128 132
## [1] "members of cluster "
## [1] 3
## [1] 13 124 149
## [1] "members of cluster "
## [1] 4
## [1] 70 121 122 145
## [1] "members of cluster "
## [1] 5
## [1] 93
## [1] "members of cluster "
## [1] 6
## [1] 105 108 119 231
## [1] "members of cluster "
## [1] 7
## [1] 120
## [1] "members of cluster "
## [1] 8
## [1] 125
## [1] "members of cluster "
## [1] 9
## [1] 158 258
## [1] "members of cluster "
## [1] 10
## [1] 164
## [1] "members of cluster "
## [1] 11
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 12
## [1] "members of cluster "
## [1] 1
## [1] 1 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19
## [18] 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
## [35] 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53
## [52] 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71
## [69] 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88
## [86] 89 90 91 92 94 95 96 97 98 99 100 101 102 103 104 106 107
## [103] 109 110 111 112 113 114 115 116 117 118 123 126 127 129 130 131 133
## [120] 134 135 136 137 138 139 140 141 142 143 144 146 147 148 150 151 152
## [137] 153 154 155 156 157 159 160 161 162 163 165 166 167 168 169 170 171
## [154] 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188
## [171] 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205
## [188] 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222
## [205] 223 224 225 226 227 228 229 230 232 233 234 235 236 237 238 239 240
## [222] 241 242 244 245 246 247 248 249 250 251 252 253 254 255 256 257 259
## [239] 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 2 128 132
## [1] "members of cluster "
## [1] 3
## [1] 13
## [1] "members of cluster "
## [1] 4
## [1] 70 121 122 145
## [1] "members of cluster "
## [1] 5
## [1] 93
## [1] "members of cluster "
## [1] 6
## [1] 105 108 119 231
## [1] "members of cluster "
## [1] 7
## [1] 120
## [1] "members of cluster "
## [1] 8
## [1] 124 149
## [1] "members of cluster "
## [1] 9
## [1] 125
## [1] "members of cluster "
## [1] 10
## [1] 158 258
## [1] "members of cluster "
## [1] 11
## [1] 164
## [1] "members of cluster "
## [1] 12
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 13
## [1] "members of cluster "
## [1] 1
## [1] 1 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19
## [18] 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 37 38
## [35] 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55
## [52] 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71 72 73
## [69] 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90
## [86] 91 92 94 95 96 97 98 101 102 103 104 107 109 110 111 113 114
## [103] 115 116 117 118 123 126 127 129 130 131 133 134 135 136 137 138 139
## [120] 140 141 142 144 146 147 148 150 151 153 154 155 156 157 159 160 161
## [137] 162 163 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179
## [154] 180 181 182 183 184 185 186 187 188 189 190 191 192 193 195 196 197
## [171] 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 214 216
## [188] 217 218 219 220 221 222 223 224 225 226 227 228 229 230 232 233 234
## [205] 235 236 237 238 239 240 241 242 244 245 246 247 248 249 250 251 252
## [222] 253 254 255 256 257 259 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 2 128 132
## [1] "members of cluster "
## [1] 3
## [1] 13
## [1] "members of cluster "
## [1] 4
## [1] 25 36 99 100 106 112 143 152 194 213 215
## [1] "members of cluster "
## [1] 5
## [1] 70 121 122 145
## [1] "members of cluster "
## [1] 6
## [1] 93
## [1] "members of cluster "
## [1] 7
## [1] 105 108 119 231
## [1] "members of cluster "
## [1] 8
## [1] 120
## [1] "members of cluster "
## [1] 9
## [1] 124 149
## [1] "members of cluster "
## [1] 10
## [1] 125
## [1] "members of cluster "
## [1] 11
## [1] 158 258
## [1] "members of cluster "
## [1] 12
## [1] 164
## [1] "members of cluster "
## [1] 13
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 14
## [1] "members of cluster "
## [1] 1
## [1] 1 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19
## [18] 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 37 38
## [35] 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55
## [52] 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71 72 73
## [69] 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90
## [86] 91 92 94 95 96 97 98 101 102 103 104 107 109 110 111 113 114
## [103] 115 116 117 118 123 126 127 129 130 131 133 134 135 136 137 138 139
## [120] 140 141 142 144 146 147 148 150 151 153 154 155 156 157 159 160 161
## [137] 162 163 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179
## [154] 180 181 182 183 184 185 186 187 188 189 190 191 192 193 195 196 197
## [171] 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 214 216
## [188] 217 218 219 220 221 222 223 224 225 226 227 228 229 230 232 233 234
## [205] 235 236 237 238 239 240 241 242 244 245 246 247 248 249 250 251 252
## [222] 253 254 255 256 257 259 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 2 128 132
## [1] "members of cluster "
## [1] 3
## [1] 13
## [1] "members of cluster "
## [1] 4
## [1] 25 36 99 100 112 143 152 194 213 215
## [1] "members of cluster "
## [1] 5
## [1] 70 121 122 145
## [1] "members of cluster "
## [1] 6
## [1] 93
## [1] "members of cluster "
## [1] 7
## [1] 105 108 119 231
## [1] "members of cluster "
## [1] 8
## [1] 106
## [1] "members of cluster "
## [1] 9
## [1] 120
## [1] "members of cluster "
## [1] 10
## [1] 124 149
## [1] "members of cluster "
## [1] 11
## [1] 125
## [1] "members of cluster "
## [1] 12
## [1] 158 258
## [1] "members of cluster "
## [1] 13
## [1] 164
## [1] "members of cluster "
## [1] 14
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 15
## [1] "members of cluster "
## [1] 1
## [1] 1 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19
## [18] 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 37 38
## [35] 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55
## [52] 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71 72 73
## [69] 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90
## [86] 91 92 94 95 96 97 98 101 102 103 104 107 109 110 111 113 114
## [103] 115 116 117 118 123 126 127 129 130 131 133 134 135 136 137 138 139
## [120] 140 141 142 144 146 147 148 150 151 153 154 155 156 157 159 160 161
## [137] 162 163 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179
## [154] 180 181 182 183 184 185 186 187 188 189 190 191 192 193 195 196 197
## [171] 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 214 216
## [188] 217 218 219 220 221 222 223 224 225 226 227 228 229 230 232 233 234
## [205] 235 236 237 238 239 240 241 242 244 245 246 247 248 249 250 251 252
## [222] 253 254 255 256 257 259 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 2 128 132
## [1] "members of cluster "
## [1] 3
## [1] 13
## [1] "members of cluster "
## [1] 4
## [1] 25 36 99 100 112 143 152 194 213 215
## [1] "members of cluster "
## [1] 5
## [1] 70 121 122 145
## [1] "members of cluster "
## [1] 6
## [1] 93
## [1] "members of cluster "
## [1] 7
## [1] 105
## [1] "members of cluster "
## [1] 8
## [1] 106
## [1] "members of cluster "
## [1] 9
## [1] 108 119 231
## [1] "members of cluster "
## [1] 10
## [1] 120
## [1] "members of cluster "
## [1] 11
## [1] 124 149
## [1] "members of cluster "
## [1] 12
## [1] 125
## [1] "members of cluster "
## [1] 13
## [1] 158 258
## [1] "members of cluster "
## [1] 14
## [1] 164
## [1] "members of cluster "
## [1] 15
## [1] 243
Here ratio data refers to data computed with formulars in Excel.
data_ratio <- data[30:44]
## computes and returns the distance matrix computed by using the specified
## distance measure to compute the distances between the rows of a data
## matrix
d <- dist(as.matrix(data_ratio))
## apply hirarchical clustering
hc <- hclust(d)
pdf("Hierarchical cluster based only on ratio data.pdf", width = 50, height = 50)
## plot the dendrogram
plot(hc, main = "Hierarchical cluster based only on ratio data")
dev.off()
## pdf
## 2
plot(hc, labels = FALSE, main = "Hierarchical cluster based only on ratio data")
print("Please find detail in .pdf file")
## [1] "Please find detail in .pdf file"
For each cluster, the members are:
## we pass the cutree function the cluster object and the number of clusters
## we're interested in Cuts a tree, e.g., as resulting from hclust, into
## several groups either by specifying the desired number(s) of groups or the
## cut height(s).
for (numClusters in c(2:15)) {
print("===============================")
print("When number of clusters are:")
print(numClusters)
mCluster = cutree(hc, numClusters)
for (memCluster in c(1:numClusters)) {
print("members of cluster ")
print(memCluster)
print(which(mCluster == memCluster))
# print('Scatter plot for different observations are:')
# print(splom(~data_ratio,groups=mCluster,auto.key=TRUE))
}
}
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 2
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
## [18] 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34
## [35] 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51
## [52] 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68
## [69] 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85
## [86] 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102
## [103] 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119
## [120] 120 121 122 123 124 125 126 127 128 129 130 131 132 133 135 136 137
## [137] 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154
## [154] 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171
## [171] 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188
## [188] 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205
## [205] 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222
## [222] 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239
## [239] 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256
## [256] 257 258 259 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 134
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 3
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
## [18] 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34
## [35] 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51
## [52] 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68
## [69] 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85
## [86] 86 87 88 89 90 91 93 94 95 96 97 98 99 100 101 102 103
## [103] 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120
## [120] 121 122 123 124 125 126 127 128 129 130 131 132 133 135 136 137 138
## [137] 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155
## [154] 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172
## [171] 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189
## [188] 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206
## [205] 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223
## [222] 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240
## [239] 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257
## [256] 258 259 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 92
## [1] "members of cluster "
## [1] 3
## [1] 134
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 4
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
## [18] 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34
## [35] 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51
## [52] 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68
## [69] 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85
## [86] 86 87 88 89 90 91 93 94 95 96 97 98 99 100 101 102 103
## [103] 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120
## [120] 121 122 123 124 125 126 127 128 129 130 131 132 133 135 136 137 138
## [137] 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155
## [154] 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172
## [171] 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189
## [188] 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206
## [205] 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224
## [222] 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241
## [239] 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258
## [256] 259 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 92
## [1] "members of cluster "
## [1] 3
## [1] 134
## [1] "members of cluster "
## [1] 4
## [1] 207
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 5
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
## [18] 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34
## [35] 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51
## [52] 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68
## [69] 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85
## [86] 86 87 88 89 90 91 93 94 95 96 97 98 99 100 101 102 103
## [103] 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120
## [120] 121 122 123 124 125 126 127 128 129 130 131 132 133 135 136 137 138
## [137] 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155
## [154] 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172
## [171] 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189
## [188] 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206
## [205] 208 209 210 211 212 213 214 215 216 217 219 220 221 222 223 224 225
## [222] 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242
## [239] 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259
## [256] 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 92
## [1] "members of cluster "
## [1] 3
## [1] 134
## [1] "members of cluster "
## [1] 4
## [1] 207
## [1] "members of cluster "
## [1] 5
## [1] 218
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 6
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
## [18] 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34
## [35] 35 36 37 38 39 40 41 42 43 44 45 46 47 49 50 51 52
## [52] 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69
## [69] 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86
## [86] 87 88 89 90 91 93 94 95 96 97 98 99 100 101 102 103 104
## [103] 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 121 122
## [120] 123 124 125 127 128 129 130 131 132 133 135 136 137 138 139 140 141
## [137] 142 143 144 146 147 148 149 150 151 152 153 154 155 156 157 158 159
## [154] 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176
## [171] 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193
## [188] 194 195 196 197 198 199 200 201 202 203 204 205 206 208 209 210 211
## [205] 212 213 214 215 216 217 219 220 221 222 223 224 225 226 227 229 230
## [222] 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247
## [239] 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264
## [256] 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 48 120 126 145 228
## [1] "members of cluster "
## [1] 3
## [1] 92
## [1] "members of cluster "
## [1] 4
## [1] 134
## [1] "members of cluster "
## [1] 5
## [1] 207
## [1] "members of cluster "
## [1] 6
## [1] 218
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 7
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
## [18] 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34
## [35] 35 36 37 38 39 40 41 42 43 44 45 46 47 49 50 51 52
## [52] 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69
## [69] 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86
## [86] 87 88 89 90 91 93 94 95 96 97 98 99 100 101 102 103 104
## [103] 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 121 122
## [120] 123 124 125 127 128 129 130 131 132 133 135 136 137 138 139 140 141
## [137] 142 143 144 146 147 148 149 150 151 152 153 154 155 156 157 158 159
## [154] 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176
## [171] 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193
## [188] 194 195 196 197 198 199 200 201 202 203 204 205 206 208 209 210 211
## [205] 212 213 214 215 216 217 219 220 221 222 223 224 225 226 227 229 230
## [222] 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247
## [239] 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264
## [256] 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 48 145
## [1] "members of cluster "
## [1] 3
## [1] 92
## [1] "members of cluster "
## [1] 4
## [1] 120 126 228
## [1] "members of cluster "
## [1] 5
## [1] 134
## [1] "members of cluster "
## [1] 6
## [1] 207
## [1] "members of cluster "
## [1] 7
## [1] 218
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 8
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
## [18] 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34
## [35] 35 36 37 38 39 40 41 42 43 44 45 46 47 49 50 51 52
## [52] 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69
## [69] 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86
## [86] 87 88 89 90 91 93 94 95 96 97 98 99 100 101 102 103 104
## [103] 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 121 122
## [120] 123 124 125 127 128 129 130 131 132 133 135 136 137 138 139 140 141
## [137] 142 143 144 146 147 148 149 150 151 152 153 154 155 156 157 158 159
## [154] 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176
## [171] 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193
## [188] 194 195 196 197 198 199 200 201 202 203 204 205 206 208 209 210 211
## [205] 212 213 214 215 216 217 219 220 221 222 223 224 225 226 227 229 230
## [222] 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247
## [239] 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264
## [256] 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 48 145
## [1] "members of cluster "
## [1] 3
## [1] 92
## [1] "members of cluster "
## [1] 4
## [1] 120 228
## [1] "members of cluster "
## [1] 5
## [1] 126
## [1] "members of cluster "
## [1] 6
## [1] 134
## [1] "members of cluster "
## [1] 7
## [1] 207
## [1] "members of cluster "
## [1] 8
## [1] 218
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 9
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
## [18] 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34
## [35] 35 36 37 38 39 40 41 42 43 44 45 47 49 50 51 52 53
## [52] 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70
## [69] 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87
## [86] 88 89 90 91 93 94 95 96 97 98 99 100 101 102 103 104 105
## [103] 106 107 108 109 110 111 112 113 114 115 116 117 118 119 121 122 123
## [120] 124 125 127 128 129 130 131 132 133 135 136 137 138 139 140 141 142
## [137] 143 144 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
## [154] 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177
## [171] 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194
## [188] 195 196 197 198 199 200 201 202 203 204 205 206 208 209 210 211 212
## [205] 213 214 215 216 217 219 220 221 222 223 224 225 226 227 229 230 231
## [222] 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248
## [239] 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265
## [256] 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 46
## [1] "members of cluster "
## [1] 3
## [1] 48 145
## [1] "members of cluster "
## [1] 4
## [1] 92
## [1] "members of cluster "
## [1] 5
## [1] 120 228
## [1] "members of cluster "
## [1] 6
## [1] 126
## [1] "members of cluster "
## [1] 7
## [1] 134
## [1] "members of cluster "
## [1] 8
## [1] 207
## [1] "members of cluster "
## [1] 9
## [1] 218
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 10
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
## [18] 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34
## [35] 35 36 37 38 39 40 41 42 43 44 45 47 49 50 51 52 53
## [52] 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70
## [69] 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87
## [86] 88 89 90 91 93 94 95 96 97 98 99 100 101 102 103 104 105
## [103] 106 107 108 109 110 111 112 113 114 115 116 117 118 119 121 122 123
## [120] 124 125 127 128 129 130 131 132 133 135 136 137 138 139 140 141 142
## [137] 143 144 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
## [154] 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177
## [171] 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194
## [188] 195 196 197 198 199 200 201 202 203 204 205 206 208 209 210 211 212
## [205] 213 214 215 216 217 219 220 221 222 223 224 225 226 227 229 230 231
## [222] 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248
## [239] 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265
## [256] 266 267
## [1] "members of cluster "
## [1] 2
## [1] 46
## [1] "members of cluster "
## [1] 3
## [1] 48 145
## [1] "members of cluster "
## [1] 4
## [1] 92
## [1] "members of cluster "
## [1] 5
## [1] 120 228
## [1] "members of cluster "
## [1] 6
## [1] 126
## [1] "members of cluster "
## [1] 7
## [1] 134
## [1] "members of cluster "
## [1] 8
## [1] 207
## [1] "members of cluster "
## [1] 9
## [1] 218
## [1] "members of cluster "
## [1] 10
## [1] 268
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 11
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
## [18] 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34
## [35] 35 36 37 38 39 40 41 42 43 44 45 47 49 50 51 52 53
## [52] 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70
## [69] 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87
## [86] 88 89 90 91 93 94 95 96 97 98 99 100 101 102 103 104 105
## [103] 106 107 108 109 110 111 112 113 114 115 116 117 118 119 121 122 123
## [120] 124 125 127 128 129 130 131 132 133 135 136 137 138 139 140 141 142
## [137] 143 144 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
## [154] 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177
## [171] 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194
## [188] 195 196 197 198 199 200 201 202 203 204 205 206 208 209 210 211 212
## [205] 213 214 215 216 217 219 220 221 222 223 224 225 226 227 229 230 231
## [222] 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248
## [239] 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265
## [256] 266 267
## [1] "members of cluster "
## [1] 2
## [1] 46
## [1] "members of cluster "
## [1] 3
## [1] 48
## [1] "members of cluster "
## [1] 4
## [1] 92
## [1] "members of cluster "
## [1] 5
## [1] 120 228
## [1] "members of cluster "
## [1] 6
## [1] 126
## [1] "members of cluster "
## [1] 7
## [1] 134
## [1] "members of cluster "
## [1] 8
## [1] 145
## [1] "members of cluster "
## [1] 9
## [1] 207
## [1] "members of cluster "
## [1] 10
## [1] 218
## [1] "members of cluster "
## [1] 11
## [1] 268
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 12
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
## [18] 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
## [35] 36 37 38 39 40 41 42 43 44 45 47 49 50 51 52 53 54
## [52] 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71
## [69] 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88
## [86] 89 90 91 93 94 95 96 97 98 99 100 101 102 103 104 105 106
## [103] 107 108 109 110 111 112 113 114 115 116 117 118 119 121 122 123 124
## [120] 125 127 128 129 130 131 132 133 135 136 137 138 139 140 141 142 143
## [137] 144 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161
## [154] 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178
## [171] 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195
## [188] 196 197 198 199 200 201 202 203 204 205 206 208 209 210 211 212 213
## [205] 214 215 216 217 219 220 221 222 223 224 225 226 227 229 230 231 232
## [222] 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249
## [239] 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266
## [256] 267
## [1] "members of cluster "
## [1] 2
## [1] 19
## [1] "members of cluster "
## [1] 3
## [1] 46
## [1] "members of cluster "
## [1] 4
## [1] 48
## [1] "members of cluster "
## [1] 5
## [1] 92
## [1] "members of cluster "
## [1] 6
## [1] 120 228
## [1] "members of cluster "
## [1] 7
## [1] 126
## [1] "members of cluster "
## [1] 8
## [1] 134
## [1] "members of cluster "
## [1] 9
## [1] 145
## [1] "members of cluster "
## [1] 10
## [1] 207
## [1] "members of cluster "
## [1] 11
## [1] 218
## [1] "members of cluster "
## [1] 12
## [1] 268
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 13
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
## [18] 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
## [35] 36 37 38 39 40 41 42 43 44 45 47 49 50 51 52 53 54
## [52] 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71
## [69] 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88
## [86] 89 90 91 93 94 95 96 97 98 99 100 101 102 103 104 105 106
## [103] 107 108 109 110 111 112 113 114 115 116 117 118 119 121 122 123 124
## [120] 125 127 128 129 130 131 132 133 135 136 137 138 139 140 141 142 143
## [137] 144 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161
## [154] 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178
## [171] 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195
## [188] 196 197 198 199 200 201 202 203 204 205 206 208 209 210 211 212 213
## [205] 214 215 216 217 219 220 221 222 223 224 225 226 227 229 230 231 232
## [222] 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249
## [239] 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266
## [256] 267
## [1] "members of cluster "
## [1] 2
## [1] 19
## [1] "members of cluster "
## [1] 3
## [1] 46
## [1] "members of cluster "
## [1] 4
## [1] 48
## [1] "members of cluster "
## [1] 5
## [1] 92
## [1] "members of cluster "
## [1] 6
## [1] 120
## [1] "members of cluster "
## [1] 7
## [1] 126
## [1] "members of cluster "
## [1] 8
## [1] 134
## [1] "members of cluster "
## [1] 9
## [1] 145
## [1] "members of cluster "
## [1] 10
## [1] 207
## [1] "members of cluster "
## [1] 11
## [1] 218
## [1] "members of cluster "
## [1] 12
## [1] 228
## [1] "members of cluster "
## [1] 13
## [1] 268
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 14
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
## [18] 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
## [35] 36 37 38 39 40 41 42 43 44 47 49 50 51 52 53 55 56
## [52] 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73
## [69] 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90
## [86] 91 93 94 95 97 98 99 100 101 102 103 104 105 106 107 108 109
## [103] 110 111 113 114 115 116 117 118 119 121 122 123 124 125 127 128 129
## [120] 130 131 132 133 135 136 137 138 139 140 141 142 143 144 146 147 148
## [137] 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165
## [154] 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182
## [171] 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199
## [188] 200 201 202 203 204 205 206 208 210 211 212 213 214 215 216 217 219
## [205] 220 221 222 223 224 225 226 227 229 230 231 232 233 234 236 237 238
## [222] 240 241 242 243 244 245 246 247 248 249 250 252 253 254 255 256 257
## [239] 258 259 260 261 262 263 265 266 267
## [1] "members of cluster "
## [1] 2
## [1] 19
## [1] "members of cluster "
## [1] 3
## [1] 45 54 96 112 209 235 239 251 264
## [1] "members of cluster "
## [1] 4
## [1] 46
## [1] "members of cluster "
## [1] 5
## [1] 48
## [1] "members of cluster "
## [1] 6
## [1] 92
## [1] "members of cluster "
## [1] 7
## [1] 120
## [1] "members of cluster "
## [1] 8
## [1] 126
## [1] "members of cluster "
## [1] 9
## [1] 134
## [1] "members of cluster "
## [1] 10
## [1] 145
## [1] "members of cluster "
## [1] 11
## [1] 207
## [1] "members of cluster "
## [1] 12
## [1] 218
## [1] "members of cluster "
## [1] 13
## [1] 228
## [1] "members of cluster "
## [1] 14
## [1] 268
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 15
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
## [18] 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
## [35] 36 37 38 39 40 41 42 43 44 47 49 50 51 52 53 55 56
## [52] 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73
## [69] 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90
## [86] 91 93 94 95 97 98 99 100 101 102 103 104 105 106 107 108 109
## [103] 110 111 113 114 115 116 117 118 119 121 122 123 124 125 127 128 129
## [120] 130 131 132 133 135 136 137 138 139 140 141 142 143 144 146 147 148
## [137] 149 150 151 152 153 154 155 157 158 159 160 161 162 163 164 165 166
## [154] 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183
## [171] 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200
## [188] 201 202 203 204 205 206 208 210 211 212 213 214 215 216 217 219 220
## [205] 221 222 223 224 225 226 227 229 230 231 232 233 234 236 237 238 240
## [222] 241 242 243 244 245 246 247 248 249 250 252 253 254 255 256 257 258
## [239] 259 260 261 262 263 265 266 267
## [1] "members of cluster "
## [1] 2
## [1] 19
## [1] "members of cluster "
## [1] 3
## [1] 45 54 96 112 209 235 239 251 264
## [1] "members of cluster "
## [1] 4
## [1] 46
## [1] "members of cluster "
## [1] 5
## [1] 48
## [1] "members of cluster "
## [1] 6
## [1] 92
## [1] "members of cluster "
## [1] 7
## [1] 120
## [1] "members of cluster "
## [1] 8
## [1] 126
## [1] "members of cluster "
## [1] 9
## [1] 134
## [1] "members of cluster "
## [1] 10
## [1] 145
## [1] "members of cluster "
## [1] 11
## [1] 156
## [1] "members of cluster "
## [1] 12
## [1] 207
## [1] "members of cluster "
## [1] 13
## [1] 218
## [1] "members of cluster "
## [1] 14
## [1] 228
## [1] "members of cluster "
## [1] 15
## [1] 268
Here all data refers to the original data as well as ratio data.
data_all <- data[2:44]
## computes and returns the distance matrix computed by using the specified
## distance measure to compute the distances between the rows of a data
## matrix
d <- dist(as.matrix(data_all))
## apply hirarchical clustering
hc <- hclust(d)
pdf("Hierarchical cluster based on all data.pdf", width = 50, height = 50)
## plot the dendrogram
plot(hc, main = "Hierarchical cluster based on all data")
dev.off()
## pdf
## 2
plot(hc, labels = FALSE, main = "Hierarchical cluster based on all data")
print("Please find detail in .pdf file")
## [1] "Please find detail in .pdf file"
For each cluster, the members are:
## we pass the cutree function the cluster object and the number of clusters
## we're interested in Cuts a tree, e.g., as resulting from hclust, into
## several groups either by specifying the desired number(s) of groups or the
## cut height(s).
for (numClusters in c(2:15)) {
print("===============================")
print("When number of clusters are:")
print(numClusters)
mCluster = cutree(hc, numClusters)
for (memCluster in c(1:numClusters)) {
print("members of cluster ")
print(memCluster)
print(which(mCluster == memCluster))
# print('Scatter plot for different observations are:')
# print(splom(~data_all,groups=mCluster,auto.key=TRUE))
}
}
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 2
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
## [18] 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34
## [35] 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51
## [52] 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68
## [69] 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85
## [86] 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102
## [103] 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119
## [120] 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136
## [137] 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153
## [154] 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170
## [171] 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187
## [188] 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204
## [205] 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221
## [222] 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238
## [239] 239 240 241 242 244 245 246 247 248 249 250 251 252 253 254 255 256
## [256] 257 258 259 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 3
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18
## [18] 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
## [35] 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52
## [52] 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69
## [69] 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86
## [86] 87 88 89 90 91 92 94 95 96 97 98 99 100 101 102 103 104
## [103] 106 107 109 110 111 112 113 114 115 116 117 118 121 122 123 125 126
## [120] 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143
## [137] 144 145 146 147 148 150 151 152 153 154 155 156 157 158 159 160 161
## [154] 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178
## [171] 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195
## [188] 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212
## [205] 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229
## [222] 230 232 233 234 235 236 237 238 239 240 241 242 244 245 246 247 248
## [239] 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265
## [256] 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 13 93 105 108 119 120 124 149 231
## [1] "members of cluster "
## [1] 3
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 4
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18
## [18] 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
## [35] 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52
## [52] 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69
## [69] 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86
## [86] 87 88 89 90 91 92 94 95 96 97 98 99 100 101 102 103 104
## [103] 106 107 109 110 111 112 113 114 115 116 117 118 121 122 123 125 126
## [120] 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143
## [137] 144 145 146 147 148 150 151 152 153 154 155 156 157 158 159 160 161
## [154] 162 163 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179
## [171] 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196
## [188] 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213
## [205] 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230
## [222] 232 233 234 235 236 237 238 239 240 241 242 244 245 246 247 248 249
## [239] 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266
## [256] 267 268
## [1] "members of cluster "
## [1] 2
## [1] 13 93 105 108 119 120 124 149 231
## [1] "members of cluster "
## [1] 3
## [1] 164
## [1] "members of cluster "
## [1] 4
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 5
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18
## [18] 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
## [35] 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52
## [52] 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69
## [69] 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86
## [86] 87 88 89 90 91 92 94 95 96 97 98 99 100 101 102 103 104
## [103] 106 107 109 110 111 112 113 114 115 116 117 118 121 122 123 125 126
## [120] 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143
## [137] 144 145 146 147 148 150 151 152 153 154 155 156 157 158 159 160 161
## [154] 162 163 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179
## [171] 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196
## [188] 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213
## [205] 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230
## [222] 232 233 234 235 236 237 238 239 240 241 242 244 245 246 247 248 249
## [239] 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266
## [256] 267 268
## [1] "members of cluster "
## [1] 2
## [1] 13 105 108 119 120 124 149 231
## [1] "members of cluster "
## [1] 3
## [1] 93
## [1] "members of cluster "
## [1] 4
## [1] 164
## [1] "members of cluster "
## [1] 5
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 6
## [1] "members of cluster "
## [1] 1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18
## [18] 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
## [35] 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52
## [52] 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69
## [69] 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86
## [86] 87 88 89 90 91 92 94 95 96 97 98 99 100 101 102 103 104
## [103] 106 107 109 110 111 112 113 114 115 116 117 118 121 122 123 125 126
## [120] 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143
## [137] 144 145 146 147 148 150 151 152 153 154 155 156 157 158 159 160 161
## [154] 162 163 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179
## [171] 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196
## [188] 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213
## [205] 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230
## [222] 232 233 234 235 236 237 238 239 240 241 242 244 245 246 247 248 249
## [239] 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266
## [256] 267 268
## [1] "members of cluster "
## [1] 2
## [1] 13 105 108 119 124 149 231
## [1] "members of cluster "
## [1] 3
## [1] 93
## [1] "members of cluster "
## [1] 4
## [1] 120
## [1] "members of cluster "
## [1] 5
## [1] 164
## [1] "members of cluster "
## [1] 6
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 7
## [1] "members of cluster "
## [1] 1
## [1] 1 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19
## [18] 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
## [35] 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53
## [52] 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71
## [69] 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88
## [86] 89 90 91 92 94 95 96 97 98 99 100 101 102 103 104 106 107
## [103] 109 110 111 112 113 114 115 116 117 118 123 125 126 127 129 130 131
## [120] 133 134 135 136 137 138 139 140 141 142 143 144 146 147 148 150 151
## [137] 152 153 154 155 156 157 159 160 161 162 163 165 166 167 168 169 170
## [154] 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187
## [171] 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204
## [188] 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221
## [205] 222 223 224 225 226 227 228 229 230 232 233 234 235 236 237 238 239
## [222] 240 241 242 244 245 246 247 248 249 250 251 252 253 254 255 256 257
## [239] 259 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 2 70 121 122 128 132 145 158 258
## [1] "members of cluster "
## [1] 3
## [1] 13 105 108 119 124 149 231
## [1] "members of cluster "
## [1] 4
## [1] 93
## [1] "members of cluster "
## [1] 5
## [1] 120
## [1] "members of cluster "
## [1] 6
## [1] 164
## [1] "members of cluster "
## [1] 7
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 8
## [1] "members of cluster "
## [1] 1
## [1] 1 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19
## [18] 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
## [35] 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53
## [52] 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71
## [69] 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88
## [86] 89 90 91 92 94 95 96 97 98 99 100 101 102 103 104 106 107
## [103] 109 110 111 112 113 114 115 116 117 118 123 126 127 129 130 131 133
## [120] 134 135 136 137 138 139 140 141 142 143 144 146 147 148 150 151 152
## [137] 153 154 155 156 157 159 160 161 162 163 165 166 167 168 169 170 171
## [154] 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188
## [171] 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205
## [188] 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222
## [205] 223 224 225 226 227 228 229 230 232 233 234 235 236 237 238 239 240
## [222] 241 242 244 245 246 247 248 249 250 251 252 253 254 255 256 257 259
## [239] 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 2 70 121 122 128 132 145 158 258
## [1] "members of cluster "
## [1] 3
## [1] 13 105 108 119 124 149 231
## [1] "members of cluster "
## [1] 4
## [1] 93
## [1] "members of cluster "
## [1] 5
## [1] 120
## [1] "members of cluster "
## [1] 6
## [1] 125
## [1] "members of cluster "
## [1] 7
## [1] 164
## [1] "members of cluster "
## [1] 8
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 9
## [1] "members of cluster "
## [1] 1
## [1] 1 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19
## [18] 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
## [35] 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53
## [52] 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71
## [69] 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88
## [86] 89 90 91 92 94 95 96 97 98 99 100 101 102 103 104 106 107
## [103] 109 110 111 112 113 114 115 116 117 118 123 126 127 129 130 131 133
## [120] 134 135 136 137 138 139 140 141 142 143 144 146 147 148 150 151 152
## [137] 153 154 155 156 157 159 160 161 162 163 165 166 167 168 169 170 171
## [154] 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188
## [171] 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205
## [188] 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222
## [205] 223 224 225 226 227 228 229 230 232 233 234 235 236 237 238 239 240
## [222] 241 242 244 245 246 247 248 249 250 251 252 253 254 255 256 257 259
## [239] 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 2 70 121 122 128 132 145
## [1] "members of cluster "
## [1] 3
## [1] 13 105 108 119 124 149 231
## [1] "members of cluster "
## [1] 4
## [1] 93
## [1] "members of cluster "
## [1] 5
## [1] 120
## [1] "members of cluster "
## [1] 6
## [1] 125
## [1] "members of cluster "
## [1] 7
## [1] 158 258
## [1] "members of cluster "
## [1] 8
## [1] 164
## [1] "members of cluster "
## [1] 9
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 10
## [1] "members of cluster "
## [1] 1
## [1] 1 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19
## [18] 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
## [35] 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53
## [52] 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71
## [69] 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88
## [86] 89 90 91 92 94 95 96 97 98 99 100 101 102 103 104 106 107
## [103] 109 110 111 112 113 114 115 116 117 118 123 126 127 129 130 131 133
## [120] 134 135 136 137 138 139 140 141 142 143 144 146 147 148 150 151 152
## [137] 153 154 155 156 157 159 160 161 162 163 165 166 167 168 169 170 171
## [154] 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188
## [171] 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205
## [188] 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222
## [205] 223 224 225 226 227 228 229 230 232 233 234 235 236 237 238 239 240
## [222] 241 242 244 245 246 247 248 249 250 251 252 253 254 255 256 257 259
## [239] 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 2 70 121 122 128 132 145
## [1] "members of cluster "
## [1] 3
## [1] 13 124 149
## [1] "members of cluster "
## [1] 4
## [1] 93
## [1] "members of cluster "
## [1] 5
## [1] 105 108 119 231
## [1] "members of cluster "
## [1] 6
## [1] 120
## [1] "members of cluster "
## [1] 7
## [1] 125
## [1] "members of cluster "
## [1] 8
## [1] 158 258
## [1] "members of cluster "
## [1] 9
## [1] 164
## [1] "members of cluster "
## [1] 10
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 11
## [1] "members of cluster "
## [1] 1
## [1] 1 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19
## [18] 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
## [35] 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53
## [52] 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71
## [69] 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88
## [86] 89 90 91 92 94 95 96 97 98 99 100 101 102 103 104 106 107
## [103] 109 110 111 112 113 114 115 116 117 118 123 126 127 129 130 131 133
## [120] 134 135 136 137 138 139 140 141 142 143 144 146 147 148 150 151 152
## [137] 153 154 155 156 157 159 160 161 162 163 165 166 167 168 169 170 171
## [154] 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188
## [171] 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205
## [188] 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222
## [205] 223 224 225 226 227 228 229 230 232 233 234 235 236 237 238 239 240
## [222] 241 242 244 245 246 247 248 249 250 251 252 253 254 255 256 257 259
## [239] 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 2 128 132
## [1] "members of cluster "
## [1] 3
## [1] 13 124 149
## [1] "members of cluster "
## [1] 4
## [1] 70 121 122 145
## [1] "members of cluster "
## [1] 5
## [1] 93
## [1] "members of cluster "
## [1] 6
## [1] 105 108 119 231
## [1] "members of cluster "
## [1] 7
## [1] 120
## [1] "members of cluster "
## [1] 8
## [1] 125
## [1] "members of cluster "
## [1] 9
## [1] 158 258
## [1] "members of cluster "
## [1] 10
## [1] 164
## [1] "members of cluster "
## [1] 11
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 12
## [1] "members of cluster "
## [1] 1
## [1] 1 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19
## [18] 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
## [35] 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53
## [52] 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71
## [69] 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88
## [86] 89 90 91 92 94 95 96 97 98 99 100 101 102 103 104 106 107
## [103] 109 110 111 112 113 114 115 116 117 118 123 126 127 129 130 131 133
## [120] 134 135 136 137 138 139 140 141 142 143 144 146 147 148 150 151 152
## [137] 153 154 155 156 157 159 160 161 162 163 165 166 167 168 169 170 171
## [154] 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188
## [171] 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205
## [188] 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222
## [205] 223 224 225 226 227 228 229 230 232 233 234 235 236 237 238 239 240
## [222] 241 242 244 245 246 247 248 249 250 251 252 253 254 255 256 257 259
## [239] 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 2 128 132
## [1] "members of cluster "
## [1] 3
## [1] 13
## [1] "members of cluster "
## [1] 4
## [1] 70 121 122 145
## [1] "members of cluster "
## [1] 5
## [1] 93
## [1] "members of cluster "
## [1] 6
## [1] 105 108 119 231
## [1] "members of cluster "
## [1] 7
## [1] 120
## [1] "members of cluster "
## [1] 8
## [1] 124 149
## [1] "members of cluster "
## [1] 9
## [1] 125
## [1] "members of cluster "
## [1] 10
## [1] 158 258
## [1] "members of cluster "
## [1] 11
## [1] 164
## [1] "members of cluster "
## [1] 12
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 13
## [1] "members of cluster "
## [1] 1
## [1] 1 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19
## [18] 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 37 38
## [35] 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55
## [52] 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71 72 73
## [69] 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90
## [86] 91 92 94 95 96 97 98 101 102 103 104 107 109 110 111 113 114
## [103] 115 116 117 118 123 126 127 129 130 131 133 134 135 136 137 138 139
## [120] 140 141 142 144 146 147 148 150 151 153 154 155 156 157 159 160 161
## [137] 162 163 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179
## [154] 180 181 182 183 184 185 186 187 188 189 190 191 192 193 195 196 197
## [171] 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 214 216
## [188] 217 218 219 220 221 222 223 224 225 226 227 228 229 230 232 233 234
## [205] 235 236 237 238 239 240 241 242 244 245 246 247 248 249 250 251 252
## [222] 253 254 255 256 257 259 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 2 128 132
## [1] "members of cluster "
## [1] 3
## [1] 13
## [1] "members of cluster "
## [1] 4
## [1] 25 36 99 100 106 112 143 152 194 213 215
## [1] "members of cluster "
## [1] 5
## [1] 70 121 122 145
## [1] "members of cluster "
## [1] 6
## [1] 93
## [1] "members of cluster "
## [1] 7
## [1] 105 108 119 231
## [1] "members of cluster "
## [1] 8
## [1] 120
## [1] "members of cluster "
## [1] 9
## [1] 124 149
## [1] "members of cluster "
## [1] 10
## [1] 125
## [1] "members of cluster "
## [1] 11
## [1] 158 258
## [1] "members of cluster "
## [1] 12
## [1] 164
## [1] "members of cluster "
## [1] 13
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 14
## [1] "members of cluster "
## [1] 1
## [1] 1 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19
## [18] 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 37 38
## [35] 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55
## [52] 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71 72 73
## [69] 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90
## [86] 91 92 94 95 96 97 98 101 102 103 104 107 109 110 111 113 114
## [103] 115 116 117 118 123 126 127 129 130 131 133 134 135 136 137 138 139
## [120] 140 141 142 144 146 147 148 150 151 153 154 155 156 157 159 160 161
## [137] 162 163 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179
## [154] 180 181 182 183 184 185 186 187 188 189 190 191 192 193 195 196 197
## [171] 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 214 216
## [188] 217 218 219 220 221 222 223 224 225 226 227 228 229 230 232 233 234
## [205] 235 236 237 238 239 240 241 242 244 245 246 247 248 249 250 251 252
## [222] 253 254 255 256 257 259 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 2 128 132
## [1] "members of cluster "
## [1] 3
## [1] 13
## [1] "members of cluster "
## [1] 4
## [1] 25 36 99 100 112 143 152 194 213 215
## [1] "members of cluster "
## [1] 5
## [1] 70 121 122 145
## [1] "members of cluster "
## [1] 6
## [1] 93
## [1] "members of cluster "
## [1] 7
## [1] 105 108 119 231
## [1] "members of cluster "
## [1] 8
## [1] 106
## [1] "members of cluster "
## [1] 9
## [1] 120
## [1] "members of cluster "
## [1] 10
## [1] 124 149
## [1] "members of cluster "
## [1] 11
## [1] 125
## [1] "members of cluster "
## [1] 12
## [1] 158 258
## [1] "members of cluster "
## [1] 13
## [1] 164
## [1] "members of cluster "
## [1] 14
## [1] 243
## [1] "==============================="
## [1] "When number of clusters are:"
## [1] 15
## [1] "members of cluster "
## [1] 1
## [1] 1 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19
## [18] 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 37 38
## [35] 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55
## [52] 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71 72 73
## [69] 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90
## [86] 91 92 94 95 96 97 98 101 102 103 104 107 109 110 111 113 114
## [103] 115 116 117 118 123 126 127 129 130 131 133 134 135 136 137 138 139
## [120] 140 141 142 144 146 147 148 150 151 153 154 155 156 157 159 160 161
## [137] 162 163 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179
## [154] 180 181 182 183 184 185 186 187 188 189 190 191 192 193 195 196 197
## [171] 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 214 216
## [188] 217 218 219 220 221 222 223 224 225 226 227 228 229 230 232 233 234
## [205] 235 236 237 238 239 240 241 242 244 245 246 247 248 249 250 251 252
## [222] 253 254 255 256 257 259 260 261 262 263 264 265 266 267 268
## [1] "members of cluster "
## [1] 2
## [1] 2 128 132
## [1] "members of cluster "
## [1] 3
## [1] 13
## [1] "members of cluster "
## [1] 4
## [1] 25 36 99 100 112 143 152 194 213 215
## [1] "members of cluster "
## [1] 5
## [1] 70 121 122 145
## [1] "members of cluster "
## [1] 6
## [1] 93
## [1] "members of cluster "
## [1] 7
## [1] 105
## [1] "members of cluster "
## [1] 8
## [1] 106
## [1] "members of cluster "
## [1] 9
## [1] 108 119 231
## [1] "members of cluster "
## [1] 10
## [1] 120
## [1] "members of cluster "
## [1] 11
## [1] 124 149
## [1] "members of cluster "
## [1] 12
## [1] 125
## [1] "members of cluster "
## [1] 13
## [1] 158 258
## [1] "members of cluster "
## [1] 14
## [1] 164
## [1] "members of cluster "
## [1] 15
## [1] 243