8장 소스코드

데이터를 읽어들이기 위한 함수 작성

readTsvDates <- function(base.dir, app.name, date.from, date.to) {
    date.from <- as.Date(date.from)
    date.to <- as.Date(date.to)
    dates <- seq.Date(date.from, date.to, by = "day")
    x <- ldply(foreach(day = dates, combine = rbind) %do% {
    read.csv(sprintf("%s/%s/%s/data.tsv", base.dir, app.name, day),
    header = T,
    sep = "\t", stringsAsFactors = F)
    })
    x
}

DAU를 읽어들이는 함수

readDau <- function(app.name, date.from, date.to = date.from) {
    data <- readTsvDates("sample-data/section8/daily/dau", app.name,
    date.from, date.to)
    data
}

DPU를 읽어들이는 함수

readDpu <- function(app.name, date.from, date.to = date.from) {
    data <- readTsvDates("sample-data/section8/daily/dpu", app.name,
    date.from, date.to)
    data
}

행동데이터를 읽어들이는 함수

readActionDaily <- function(app.name, date.from, date.to = date.from) {
    data <- readTsvDates("sample-data/section8/daily/action", app.name,
    date.from, date.to)
    data
}

데이터 읽어들이기

DAU

dau <- readDau("game-01", "2013-05-01", "2013-10-31")
head(dau)
##     log_date app_name user_id
## 1 2013-05-01  game-01  608801
## 2 2013-05-01  game-01  712453
## 3 2013-05-01  game-01  776853
## 4 2013-05-01  game-01  823486
## 5 2013-05-01  game-01  113600
## 6 2013-05-01  game-01  452478
# DPU
dpu <- readDpu("game-01", "2013-05-01", "2013-10-31")
head(dpu)
##     log_date app_name user_id payment
## 1 2013-05-01  game-01  804005     571
## 2 2013-05-01  game-01  793537      81
## 3 2013-05-01  game-01  317717      81
## 4 2013-05-01  game-01  317717      81
## 5 2013-05-01  game-01  426525     324
## 6 2013-05-01  game-01  540544     243
# Action
user.action <- readActionDaily("game-01", "2013-10-31", "2013-10-31")
head(user.action)
##     log_date app_name user_id A1 A2 A3 A4 A5 A6  A7    A8  A9 A10 A11 A12
## 1 2013-10-31  game-01  654133  0  0  0  0  0  0   0  0.00   0   0   0   0
## 2 2013-10-31  game-01  425530  0  0  0  0 10  1 233 58.25 288 230  19   2
## 3 2013-10-31  game-01  709596  0  0  0  0  0  0   0  0.00   0   0   0   0
## 4 2013-10-31  game-01  525047  0  2  0  0  9  0   0  0.00 177 160   0   0
## 5 2013-10-31  game-01  796908  0  0  0  0  0  0   0  0.00   5  30   0   0
## 6 2013-10-31  game-01  776120  0  0  0  0  9  0   0  0.00 325 195  38   8
##   A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24     A25     A26 A27 A28
## 1   0   0   0   0   0   0   0   0   0   0   0 0.0 0.00000 0.00000   0   0
## 2  19  13  13  28   6  11   0   0   0   0   0 0.5 0.92857 0.93750   0   0
## 3   0   0   0   0   0   0   0   0   0   0   0 0.0 0.00000 0.00000   0   0
## 4  30   8   9  13   8   9   0   2   0   0   0 0.0 0.93333 0.90960   0   0
## 5   1   1   1   2   2   0   0   0   0   0   0 0.0 1.00000 1.00000   0   0
## 6  19  10  11  25  11  11   0   0   0   0   0 0.0 0.92424 0.94462   0   0
##   A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41 A42 A43     A44 A45
## 1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0 0.00000   0
## 2   0   0   0   0   0   0   0   0   0   0   0   0   0   0  23 0.92174  19
## 3   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0 0.00000   0
## 4   0   0   0   0   0   0   0   0   0   0   0   0   0   0  16 0.93125  22
## 5   0   0   0   0   0   0   0   0   0   0   0   0   0   0   3 0.83333  29
## 6   0   0   0   0   0   0   0   0   0   0   0   0   0   0  20 0.90256  19
##   A46    A47   A48 A49 A50 A51 A52 A53 A54
## 1   0    380 25655   0   0   0   0   0  46
## 2  20 180543   347  36  22   4   0   0  71
## 3   0    416 24817   0   0   0   0   0   2
## 4  22  35200  6412  21   0   0   0   0 109
## 5  29    388 25444   1   0   0   0   0  64
## 6  38 142214   684  37  15   0   0   0 312

DAU에 DPU를 결합시키기

과금 데이터 결합

dau2 <- merge(dau
              ,dpu[, c("log_date", "user_id", "payment"), ]
              ,by = c("log_date", "user_id"), all.x = T)

과금 플래그를 추가하기

dau2$is.payment <- ifelse(is.na(dau2$payment), 0, 1)
head(dau2)
##     log_date user_id app_name payment is.payment
## 1 2013-05-01    1141  game-01      NA          0
## 2 2013-05-01    1689  game-01      NA          0
## 3 2013-05-01    2218  game-01      NA          0
## 4 2013-05-01    3814  game-01      NA          0
## 5 2013-05-01    3816  game-01      NA          0
## 6 2013-05-01    4602  game-01      NA          0

비과금 레코드의 과금액에 0을 넣기

dau2$payment <- ifelse(is.na(dau2$payment), 0, dau2$payment)
head(dau2)
##     log_date user_id app_name payment is.payment
## 1 2013-05-01    1141  game-01       0          0
## 2 2013-05-01    1689  game-01       0          0
## 3 2013-05-01    2218  game-01       0          0
## 4 2013-05-01    3814  game-01       0          0
## 5 2013-05-01    3816  game-01       0          0
## 6 2013-05-01    4602  game-01       0          0

월별로 집계하기

월 항목을 작성하기

dau2$log_month <- substr(dau2$log_date, 1, 7)

월별 집계하기

mau <- ddply(dau2
             ,.(log_month, user_id)
             ,summarize
             ,payment = sum(payment)
             ,access_days = length(log_date))
head(mau)
##   log_month user_id payment access_days
## 1   2013-05      65       0           1
## 2   2013-05     115       0           1
## 3   2013-05     194       0           1
## 4   2013-05     426       0           4
## 5   2013-05     539       0           1
## 6   2013-05     654       0           1

랭킹 범위 결정

library(ykmeans)
library(ggplot2)
library(scales)
# A47항목이 랭킹 포인트
user.action2 <- ykmeans(user.action, "A47", "A47", 3)
# 각 클러스터의 유저수
table(user.action2$cluster)
## 
##    1    2    3 
## 2096  479   78
head(user.action2)
##     log_date app_name user_id A1 A2 A3 A4 A5 A6  A7    A8  A9 A10 A11 A12
## 1 2013-10-31  game-01  654133  0  0  0  0  0  0   0  0.00   0   0   0   0
## 2 2013-10-31  game-01  425530  0  0  0  0 10  1 233 58.25 288 230  19   2
## 3 2013-10-31  game-01  709596  0  0  0  0  0  0   0  0.00   0   0   0   0
## 4 2013-10-31  game-01  525047  0  2  0  0  9  0   0  0.00 177 160   0   0
## 5 2013-10-31  game-01  796908  0  0  0  0  0  0   0  0.00   5  30   0   0
## 6 2013-10-31  game-01  776120  0  0  0  0  9  0   0  0.00 325 195  38   8
##   A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24     A25     A26 A27 A28
## 1   0   0   0   0   0   0   0   0   0   0   0 0.0 0.00000 0.00000   0   0
## 2  19  13  13  28   6  11   0   0   0   0   0 0.5 0.92857 0.93750   0   0
## 3   0   0   0   0   0   0   0   0   0   0   0 0.0 0.00000 0.00000   0   0
## 4  30   8   9  13   8   9   0   2   0   0   0 0.0 0.93333 0.90960   0   0
## 5   1   1   1   2   2   0   0   0   0   0   0 0.0 1.00000 1.00000   0   0
## 6  19  10  11  25  11  11   0   0   0   0   0 0.0 0.92424 0.94462   0   0
##   A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41 A42 A43     A44 A45
## 1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0 0.00000   0
## 2   0   0   0   0   0   0   0   0   0   0   0   0   0   0  23 0.92174  19
## 3   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0 0.00000   0
## 4   0   0   0   0   0   0   0   0   0   0   0   0   0   0  16 0.93125  22
## 5   0   0   0   0   0   0   0   0   0   0   0   0   0   0   3 0.83333  29
## 6   0   0   0   0   0   0   0   0   0   0   0   0   0   0  20 0.90256  19
##   A46    A47   A48 A49 A50 A51 A52 A53 A54 cluster .average.sd
## 1   0    380 25655   0   0   0   0   0  46       1    35707.63
## 2  20 180543   347  36  22   4   0   0  71       3    35707.63
## 3   0    416 24817   0   0   0   0   0   2       1    35707.63
## 4  22  35200  6412  21   0   0   0   0 109       1    35707.63
## 5  29    388 25444   1   0   0   0   0  64       1    35707.63
## 6  38 142214   684  37  15   0   0   0 312       3    35707.63
par(mfrow=c(1,1))

랭킹 포인트의 분포

ggplot(arrange(user.action2, desc(A47)), aes(x = 1:length(user_id), y = A47, col = as.factor(cluster), shape = as.factor(cluster))) +
    geom_line(size=2) +
    xlab("user") +
    ylab("Ranking point") +
    scale_y_continuous(label = comma) +
    ggtitle("Ranking Point") +
    theme(legend.position = "right")

랭킹 상위 유저만 고르기

user.action.h <- user.action2[user.action2$cluster >= 2, names(user.action)]
View(user.action.h)

주성분 분석 실행

데이터 전처리에 편리한 함수를 이용하기 위해

기계학습 라이브러리를 사용함

library(caret)
## Loading required package: lattice
user.action.f               <- user.action.h[, -c(1:4)]
row.names(user.action.f)    <- user.action.h$user_id
user.action.f
##        A2 A3 A4 A5 A6  A7     A8  A9 A10 A11 A12 A13 A14 A15 A16 A17 A18
## 425530  0  0  0 10  1 233  58.25 288 230  19   2  19  13  13  28   6  11
## 776120  0  0  0  9  0   0   0.00 325 195  38   8  19  10  11  25  11  11
## 276197  0  0  0  7  0  58   7.25 150 100  15   3  11   5   5  19   3   7
## 221572  0  0  0  1  0   0   0.00  40  14   0   0   3   0   1  13   1   1
## 692433  0  0  0  6  0   0   0.00 102  95   0   0   2   2   5  12   5   3
## 424225  0  0  0  9  0   0   0.00 200 190  29   8  14   7   7  24   8   9
## 107707  0  0  0  7  6  96  10.67 202 330  27   5   9   9  10  29   8   5
## 476345  1  0  0  2  0  69  23.00 211 100  16   3  16   8   8  25   5   3
## 611831  0  0  0  6  0  64   7.11 249 220  19   7  12  10  12  25   7   6
## 801373  0  0  0  2  1   0   0.00  77 120  19   2  15   6   6  17   2   2
## 233368  0  0  0  6  0   0   0.00 112  70  20   2   6   4   7  23   2   6
## 705026  0  0  0  8  0 257  85.67 224 180   0   0  90  16  17  30   3   6
## 633348  0  0  0  2  0   0   0.00  70 120   0   0  50   2   3  13   2   1
## 737893  0  0  0  4  0  64  32.00 190 130   0   0  34   8  10  13   3   6
## 343705  0  0  0  6  1  67  16.75 381 190  34   9  12  12  15  29  12  10
## 827371  0  0  0  7  0   0   0.00 224 140  37   6  14   6   8  29   6   5
## 401184  0  0  0  8  1   0   0.00 282 160  23   3  90  15  16  18   5   8
## 698195  0  0  0  5  1   0   0.00 290  80  35   6  28  15  15  31   6  12
## 871680  0  0  0  6  0   0   0.00 179 200  16   1   0   3   6  17   5   6
## 777158  0  0  0  6  0  42  21.00 331 140  33   7  13  17  18  19   8  11
## 927801  1  0  0  5  0   8   8.00 171 112   0   0   1   5   5  12   4   5
## 742696  0  0  0  3  0   0   0.00  73  50   0   0  16   4   5  13   2   3
## 215714  0  0  0 12  2 151  50.33 292 220  35   5  12   7   7  30   7  12
## 491502  0  0  0  4  1   0   0.00 115 150   0   0   0   2   3  15   4   4
## 31580   0  0  0  0  1   0   0.00 154 220  34   5   0   5   6  31   6   0
## 92249   0  0  0 11  1   0   0.00 216 190  41   5  64  15  16  29   5   5
## 265317  0  0  0  4  0  50  25.00 160 180  30   7   0   6   6  23   7   5
## 202858  0  0  0 10  3  50   8.33 296 320  22   5   5   6   9  30   9  10
## 488929  0  0  0  2  0   0   0.00 118 180  22   1  45   1   4  21   4   2
## 833462  0  0  0  9  0  55  55.00 267 205  14   4  46  16  17  29   7   8
## 93246   0  0  0  7  0   0   0.00 212 170   0   0  21   5   8  15   4   7
## 325178  0  0  0  3  0   0   0.00 120  70  27   3   0   2   3  26   3   0
## 564132  0  0  0  5  0   1   1.00 128 160  33   5   8   6   6  19   5   5
## 776348  0  0  0  4  0   0   0.00 171 170   0   0  21   4   5  21   4   5
## 671661  0  0  0  5  1  97  12.13 209 189   0   0   2   4   7  20   7   8
## 464778  0  0  0  5  0   0   0.00  81  90  35   3   3   3   3  20   3   1
## 473858  1  0  0  7  0   0   0.00 198 152   0   0   0   7   9  16   9   7
## 7973    0  0  0  4  0   0   0.00  50  16  29   1  13   4   4  16   1   3
## 696807  0  0  0  6  0   0   0.00 141 150   0   0   7   1   4  22   3   6
## 196694  0  0  0  4  0   0   0.00  95  72   0   0   4   3   3  10   2   5
## 824345  0  0  0  6  1   0   0.00 268 190  36   5  20  11  12  29   8   9
## 668014  0  0  0  8  0   0   0.00 230 130  21   6   2   6   7  24   7   5
## 482337  0  0  0  4  0   0   0.00  90 120   0   0   5   3   4  19   5   3
## 882098  0  0  0  0  0   0   0.00   0   0   0   0   0   0   0   0   0   0
## 759364  0  0  0  5  0  20  10.00 150 170  16   5   7   9  11  26   5   5
## 525162  0  0  0  4  0   0   0.00  60  40  27   1  10   4   4  14   3   4
## 808508  0  0  0  6  0   0   0.00 127 100  25   6  24  10  10  22   6   5
## 678698  0  0  0  6  0   0   0.00 141  28  27   1  16   4   4  18   3   4
## 593170  0  0  0  1  0   0   0.00  30  60  40   3   3   2   3  13   3   0
## 485383  1  0  0  2  0   0   0.00 133  42   0   0  13   8   8   9   3   5
## 390021  0  0  0  5  0   0   0.00 199 190  36   6  19  11  12  25   6   6
## 821067  0  0  0  2  1  45   5.63 110 150  32   4  14   5   5  23   4   2
## 747218  0  0  0  9  1 116  23.20 280 120  34   5  11  13  13  27   6  10
## 689976  0  0  0  6  0   0   0.00 216 130  17   2   5  10  11  25   6   7
## 320747  0  0  0  5  0  17  17.00 148  90   0   0   0   2   3  17   3   4
## 184158  0  0  0  2  0   0   0.00 153  20  35   2  42  12  13  11   2   4
## 540753  0  0  0 12  3 113  22.60 318 260  30   9  35  13  15  29  10  12
## 167067  0  0  0  3  1   0   0.00  70 180  14   4   1   3   3  21   4   2
## 17423   0  0  0  7  0  95  31.67 260 190  23   4   8   9  10  19   5   7
## 748904  0  0  0  7  0   0   0.00 213 120  23   3  19   5   7  24   5   7
## 865209  0  0  0  5  0  46  46.00 190 120   0   0   0   6   6  21   7   5
## 150752  0  0  0 11  1  60  60.00 179 180  15   3  19   5   5  41   3   6
## 421427  0  0  0  3  0   0   0.00  30  40   0   0   0   0   1  14   1   0
## 356232  0  0  0  7  0  58  19.33 309 170  24   5  44  12  13  24   5   7
## 10773   0  0  0  5  0   0   0.00 108  40  22   2  12   8  12  16   2   8
## 751023  0  0  0  2  0   0   0.00 133  70  29   3  19   4   7  21   4   3
## 27244   0  0  0  1  0   0   0.00  90  90   0   0  12   4   4  13   2   4
## 312189  0  0  0  1  0   0   0.00  59  40  26   2   7   5   5  10   2   3
## 846116  1  0  0  8  1  22  22.00 182 120   0   0   0   6   7  16   6   7
## 105678  0  0  0  5  0  43  21.50 230 200   0   0   1   5   6  22   5   8
## 213086  0  0  0  6  1  18   9.00 226 150   0   0  29   7   7  19   7   5
## 188181  0  0  0  2  0  31  15.50 121  98  14   3   9   4   4  15   4   2
## 435520  0  0  0  9  0  13  13.00 188 170  16   8  11  10  11  17   9   9
## 390687  0  0  0  4  1   0   0.00 150 220  12   5  12   4   5  16   5   4
## 800776  0  0  0  8  2 134  26.80 181 181  13   3  15   8  10  26   3   7
## 505683  0  0  0  4  0  22  22.00 100 110  35   6  17  12  12  18   6   3
## 74681   0  0  0  8  2 111   6.53 271 240  23   3   9   8  12  18   8   8
## 419508  0  0  0  2  0   0   0.00  50  50   0   0   7   1   2  11   2   2
## 800412  0  0  0 10  0   0   0.00 295 215  33   3  60  18  19  27   6   9
## 436153  0  0  0  8  0   0   0.00 251  90   0   0 112  13  13  18   4   6
## 565035  0  0  0  5  0  74  24.67 215 200   0   0  18   5   7  20   5   5
## 473727  0  0  0  7  0  66   6.60 271 180  38   6  44   8  10  35   8  10
## 732116  0  0  0  8  0  96  48.00 197 110  22   3  19   6   6  19   5   8
## 217932  0  0  0  1  0   0   0.00   0   0   0   0   4   0   0   0   0   0
## 692383  0  0  0  3  0   0   0.00  80  60   0   0  12   3   4  17   3   4
## 641058  0  0  0  2  0   0   0.00 142 180  28   5  15   6   6  18   5   2
## 361127  0  0  0  6  0   0   0.00  51  28  18   2   0   2   2  20   2   0
## 872934  0  0  0  6  0   0   0.00 210 160  12   2   4   3   5  18   6   6
## 757576  0  0  0  4  0   0   0.00 201 230  35   6  32  14  17  20   6   5
## 314117  0  0  0  3  0   0   0.00 145 110  20   4  31   9   9  14   4   3
## 156429  0  0  0  0  0   0   0.00   0   0   0   0  11   0   0   0   0   0
## 241663  0  0  0  7  0 129  43.00 223 100  35   2  12   7   7  15   3   7
## 98766   0  0  0  4  3  46  11.50 251 270  38   3  23  10  12  25   7   4
## 22672   0  0  0  4  0   0   0.00 160  70   0   0   8   3   4  17   5   6
## 492588  0  0  0  5  0   0   0.00 120  80   0   0   2   2   3  13   3   5
## 570537  0  0  0  2  0   0   0.00  80  30  23   1   5   4   4  12   1   4
## 394008  0  0  0  8  0   0   0.00 162 180   0   0   0   4   4  15   5   6
## 870737  0  0  0  9  0 124  62.00 192 189  11   2   0   3   4  28   5   7
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## 302268  0  0  0  2  0   0   0.00 222 100  23   6  30  15  19  22   6   5
## 663533  0  0  0  2  0   0   0.00 110  70  10   1  19   5   5  23   1   2
## 26594   0  0  0  9  0 153  38.25 193 220  16   8   2   5   7  20   8   9
## 319513  0  0  0  9  1 183   9.63 349 230  38   6  70  20  21  23   6   9
## 620082  0  0  0 12  0   0   0.00 133 120  27   1  27   5   5  15   4   4
## 401637  0  0  0  2  0   0   0.00  60 120  25   2   0   1   2  21   2   1
## 943709  0  0  0  5  1  34   6.80 229 230  16   5  13   7   8  30   4   5
## 5611    0  0  0  8  0  65  21.67 319 190  12   6  21   8  10  30   6   8
## 200353  0  0  0  0  0   0   0.00   0   0   0   0   0   0   0   0   0   0
## 200182  0  0  0  0  0   0   0.00   0  50   0   0   0   0   0   9   1   0
## 868826  0  0  0  6  0   0   0.00 192 165  36   6   8   8   8  26   6   6
## 654451  0  0  0  1  0   0   0.00   7   8   0   0  18   1   1   0   0   0
## 559329  0  0  0  6  0   0   0.00 160  90  19   3  14   4   4  19   4   6
## 667004  0  0  0  4  1 176  35.20 150 152   0   0   0   5   6  17   8   3
## 743335  0  0  0  2  0   0   0.00 100 120  30   3  15   9   9  16   3   2
## 305216  0  0  0  6  2  61  12.20 209 190  27   7  14  12  12  19   7  10
## 47842   0  0  0  4  0   0   0.00 124 140  37   5   8   4   4  28   5   4
## 88527   0  0  0  0  0   0   0.00  29  50  21   1   6   3   3  10   1   0
## 939390  0  0  0  4  0   0   0.00  61  40   0   0   9   3   3  15   2   3
## 89732   0  0  0  3  0  45  22.50  60  32   0   0  13   2   2  11   1   3
## 588243  0  0  0  3  1  46  11.50 100 128   0   0  11   3   3  13   1   3
## 668540  0  0  0  3  0   0   0.00 130 105  25   4   1   3   4  22   4   3
## 875400  0  0  0  5  0   0   0.00 191  60  23   1  16   9   9  13   3   5
## 177926  0  0  0  4  0   0   0.00 120  90   0   0   9   1   3  16   3   4
## 398089  0  0  0  4  0  13  13.00 144 150  15   1   7   4   4  21   3   5
## 753951  0  0  0  6  0 138  46.00 212  90  37   3  25  20  20  21   3   8
## 953822  0  0  0  7  1 117   8.36 224 210   0   0   4   6   8  18   6   7
## 952760  0  0  0  6  0   0   0.00 149  80  19   3   0   4   5  26   4   3
## 242006  0  0  0  4  0  23  23.00 134 170  17   3   6   7   7  17   3   7
## 50230   0  0  0  7  0  81  27.00 170 160  33   4   0   4   4  31   6   7
## 252210  0  0  0  6  0  77  19.25 195 130   0   0   0   3   5  20   5   6
## 239543  0  0  0  5  0   0   0.00 110  80  24   4  10   4   4  19   3   4
## 460009  0  0  0  1  1  49  49.00  41  60  30   2   1   1   2  15   2   1
## 933735  0  0  0  9  0   0   0.00 155 180   0   0  53   5   5  24   4   3
## 133230  1  0  0  8  0   0   0.00 188 150  11   4  23   9   9  19   4   8
## 840114  0  0  0  3  0   0   0.00   0   0   0   0  10   0   0   0   0   0
## 347207  0  0  0  7  0 130  26.00 223 160  25   5   3   7   8  37   6   6
## 906240  0  0  0  6  1  92  30.67 146 144  16   3   5   4   4  25   5   6
## 341839  0  0  0  0  0   0   0.00   0   0   0   0  37   0   0   0   0   0
## 153154  0  0  0  9  0   0   0.00 225 120  25   4  24   7   8  20   5   6
## 823385  0  0  0  1  0   0   0.00  90  90  24   1   6   2   2  24   2   0
## 835121  1  0  0  5  0  85   7.08 150 160  15   4   2   5   5  17   6   3
## 109684  0  0  0  5  2  63   9.00 215 240  28   8   9   6   8  30   8   5
## 135209  0  0  0  8  0   0   0.00 240  90  31   2   4   5   6  21   4   6
## 584566  0  0  0  7  0   0   0.00 168 154  12   1  14   9   9  18   7   8
## 462763  0  0  0  0  0   0   0.00   0   0   0   0   0   0   0   0   0   0
## 176038  0  0  0  8  1  68  22.67 230 200   0   0   1   2   6  21   6   8
## 672377  0  0  0  6  0   0   0.00 200 180  35   4   0   5   6  23   6   5
## 850278  0  0  0  8  0   0   0.00 247 200  13   5  26   9   9  27   7   9
## 948790  0  0  0  5  0   0   0.00  59  30   0   0   9   3   3   8   2   4
## 180607  0  0  0  5  0   0   0.00 157 190  20   2   6   4   5  18   3   5
## 355353  0  0  0  7  0   0   0.00 158 190  27   5   5   6   6  22   5   5
## 182274  1  0  0  5  0 140  46.67 161 210   0   0   2   3   6  16   7   3
##        A19 A20 A21 A22 A23     A24     A25     A26 A27 A28 A29 A30 A31 A32
## 425530   0   0   0   0   0 0.50000 0.92857 0.93750   0   0   0   0   0   0
## 776120   0   0   0   0   0 0.00000 0.92424 0.94462   0   0   0   0   0   0
## 276197   0   0   0   0   0 0.00000 0.83333 0.86000   0   0   0   0   0   0
## 221572   0   0   0   0   0 0.00000 0.90909 0.87500   0   0   0   0   0   0
## 692433   0   0   0   0   0 0.00000 1.00000 0.92157   0   0   0   0   0   0
## 424225   0   2   0   0   0 0.00000 0.87500 0.87000   0   0   0   0   0   0
## 107707   0   2   0   0   4 0.00000 0.95556 0.87129   0   0   0   0   0   0
## 476345   0   0   0   0   0 0.00000 0.82609 0.85308   0   0   0   0   0   0
## 611831   0   0   0   0   0 0.00000 0.89796 0.84739   0   0   0   0   0   0
## 801373   0   0   0   0   0 0.00000 0.81250 0.74026   0   0   0   0   0   0
## 233368   0   0   0   0   0 0.00000 0.95652 0.92857   0   0   0   0   0   0
## 705026   0   0   0   0   0 1.00000 0.95455 0.99107   0   0   0   0   0   0
## 633348   0   0   0   0   0 0.00000 0.96429 0.91429   0   0   0   0   0   0
## 737893   0   0   0   0   0 0.50000 0.90244 0.92105   0   0   0   0   0   0
## 343705   0   1   0   0   1 0.00000 0.80263 0.89764   0   0   0   0   0   0
## 827371   0   0   0   0   0 0.00000 0.96364 0.92411   0   0   0   0   0   0
## 401184   0   0   0   0   0 0.00000 0.93103 0.96454   0   0   0   0   0   0
## 698195   2   0   0   0   1 0.00000 0.87931 0.84828   0   0   0   0   0   0
## 871680   0   0   0   0   0 0.00000 0.96970 0.91061   0   0   0   0   0   0
## 777158   0   1   0   0   0 0.00000 0.92188 0.94562   0   0   0   0   0   0
## 927801   0   1   0   0   0 0.00000 0.86957 0.91813   0   0   0   0   0   0
## 742696   0   0   0   0   0 0.00000 1.00000 0.95890   0   0   0   0   0   0
## 215714   0   0   0   0   1 0.33333 0.93333 0.91096   0   0   0   0   0   0
## 491502   0   0   0   0   1 0.00000 0.96296 0.93043   0   0   0   0   0   0
## 31580    0   0   0   0   1 0.00000 1.00000 0.94156   0   0   0   0   0   0
## 92249    0   0   0   0   1 0.00000 1.00000 0.99537   0   0   0   0   0   0
## 265317   0   1   0   0   0 0.00000 1.00000 0.94375   0   0   0   0   0   0
## 202858   0   0   0   0   3 0.00000 0.92500 0.92230   0   0   0   0   0   0
## 488929   0   0   0   0   0 0.00000 0.95238 0.93220   0   0   0   0   0   0
## 833462   0   1   0   0   1 1.00000 0.98387 0.96255   0   0   0   0   0   0
## 93246    0   0   0   0   0 0.00000 0.62903 0.77830   0   0   0   0   0   0
## 325178   0   0   0   0   0 0.00000 0.94444 0.90833   0   0   0   0   0   0
## 564132   0   0   0   0   0 0.00000 0.92857 0.91406   0   0   0   0   0   0
## 776348   0   1   0   0   0 0.00000 0.82857 0.88889   0   0   0   0   0   0
## 671661   0   1   0   0   0 0.00000 0.95833 0.93780   0   0   0   0   0   0
## 464778   0   0   0   0   0 0.00000 0.46154 0.71605   0   0   0   0   0   0
## 473858   0   2   0   0   0 0.00000 0.88372 0.90404   0   0   0   0   0   0
## 7973     0   0   0   0   0 0.00000 0.84615 0.90000   0   0   0   0   0   0
## 696807   0   0   0   0   0 0.00000 0.48000 0.53901   0   0   0   0   0   0
## 196694   0   2   0   0   0 0.00000 1.00000 0.92632   0   0   0   0   0   0
## 824345   0   1   0   0   1 0.00000 0.90566 0.88060   0   0   0   0   0   0
## 668014   0   0   0   0   0 0.00000 0.92308 0.89565   0   0   0   0   0   0
## 482337   0   1   0   0   0 0.00000 0.95833 0.94444   0   0   0   0   0   0
## 882098   0   0   0   0   0 0.00000 0.00000 0.00000   0   0   0   0   0   0
## 759364   0   0   0   0   0 0.00000 0.93103 0.90667   0   0   0   0   0   0
## 525162   0   1   0   0   0 0.00000 0.85714 0.90000   0   0   0   0   0   0
## 808508   0   0   0   0   0 0.00000 0.85185 0.88189   0   0   0   0   0   0
## 678698   0   1   0   0   0 0.00000 0.96154 0.95745   0   0   0   0   0   0
## 593170   0   0   0   0   0 0.00000 1.00000 0.96667   0   0   0   0   0   0
## 485383   0   1   0   0   0 0.00000 0.80769 0.92481   0   0   0   0   0   0
## 390021   0   1   0   0   0 0.00000 0.94444 0.88442   0   0   0   0   0   0
## 821067   0   0   0   0   1 0.00000 0.77273 0.81818   0   0   0   0   0   0
## 747218   0   0   0   0   0 0.40000 0.94444 0.95714   0   0   0   0   0   0
## 689976   0   2   0   0   0 0.00000 0.89583 0.86111   0   0   0   0   0   0
## 320747   0   0   0   0   0 0.00000 0.96875 0.90541   0   0   0   0   0   0
## 184158   0   0   0   0   0 0.00000 0.93333 0.94118   0   0   0   0   0   0
## 540753   0   2   0   0   3 0.20000 0.91765 0.91824   0   0   0   0   0   0
## 167067   0   1   0   0   0 0.00000 0.61111 0.78571   0   0   0   0   0   0
## 17423    0   0   0   0   0 0.33333 0.88372 0.89231   0   0   0   0   0   0
## 748904   0   0   0   0   0 0.00000 0.75000 0.79343   0   0   0   0   0   0
## 865209   0   1   0   0   0 1.00000 1.00000 0.94737   0   0   0   0   0   0
## 150752   0   0   0   0   2 1.00000 0.97143 0.94972   0   0   0   0   0   0
## 421427   0   0   0   0   0 0.00000 1.00000 0.93333   0   0   0   0   0   0
## 356232   0   0   0   0   0 0.00000 0.94643 0.91586   0   0   0   0   0   0
## 10773    0   0   0   0   0 0.00000 0.89286 0.91667   0   0   0   0   0   0
## 751023   0   0   0   0   0 0.00000 0.90000 0.93985   0   0   0   0   0   0
## 27244    0   1   0   0   1 0.00000 0.92308 0.90000   0   0   0   0   0   0
## 312189   0   1   0   0   0 0.00000 0.91667 0.94915   0   0   0   0   0   0
## 846116   0   1   0   0   1 0.00000 0.83333 0.91209   0   0   0   0   0   0
## 105678   0   0   0   0   1 0.00000 0.86047 0.91304   0   0   0   0   0   0
## 213086   0   1   0   0   1 0.00000 0.88889 0.91150   0   0   0   0   0   0
## 188181   0   0   0   0   0 0.00000 0.87500 0.94215   0   0   0   0   0   0
## 435520   0   0   0   0   0 0.00000 0.96429 0.93085   0   0   0   0   0   0
## 390687   0   0   0   0   1 0.00000 0.90164 0.90000   0   0   0   0   0   0
## 800776   0   0   0   0   2 0.20000 0.83871 0.89503   0   0   0   0   0   0
## 505683   0   0   0   0   0 0.00000 1.00000 0.96000   0   0   0   0   0   0
## 74681    0   0   0   0   2 0.00000 0.90385 0.89668   0   0   0   0   0   0
## 419508   0   0   0   0   0 0.00000 0.92308 0.98000   0   0   0   0   0   0
## 800412   0   0   0   0   0 0.00000 0.83333 0.82373   0   0   0   0   0   0
## 436153   0   0   0   0   0 0.00000 0.91667 0.92032   0   0   0   0   0   0
## 565035   0   0   0   0   0 0.00000 0.76087 0.85581   0   0   0   0   0   0
## 473727   0   1   0   0   0 0.00000 0.76000 0.86347   0   0   0   0   0   0
## 732116   0   0   0   0   0 0.50000 0.95122 0.92893   0   0   0   0   0   0
## 217932   0   0   0   0   0 0.00000 0.00000 0.00000   0   0   0   0   0   0
## 692383   0   1   0   0   0 0.00000 0.88235 0.92500   0   0   0   0   0   0
## 641058   0   0   0   0   0 0.00000 0.88889 0.80282   0   0   0   0   0   0
## 361127   0   0   0   0   0 0.00000 1.00000 0.98039   0   0   0   0   0   0
## 872934   0   0   0   0   0 0.00000 0.91111 0.89524   0   0   0   0   0   0
## 757576   0   0   0   0   0 0.00000 0.91176 0.97015   0   0   0   0   0   0
## 314117   0   0   0   0   0 0.00000 0.93333 0.90345   0   0   0   0   0   0
## 156429   0   0   0   0   0 0.00000 0.00000 0.00000   0   0   0   0   0   0
## 241663   0   0   0   0   0 0.66667 0.93182 0.94619   0   0   0   0   0   0
## 98766    0   1   0   0   3 0.00000 1.00000 0.90438   0   0   0   0   0   0
## 22672    0   0   0   0   0 0.00000 0.89189 0.86875   0   0   0   0   0   0
## 492588   0   0   0   0   0 0.00000 0.95000 0.91667   0   0   0   0   0   0
## 570537   0   1   0   0   0 0.00000 0.92593 0.95000   0   0   0   0   0   0
## 394008   0   0   0   0   0 0.00000 0.91667 0.92593   0   0   0   0   0   0
## 870737   0   0   0   0   0 0.50000 0.85870 0.85938   0   0   0   0   0   0
## 484271   2   0   0   0   2 0.33333 0.92958 0.91265   0   0 100   0   0   0
## 596056   0   0   0   0   0 0.00000 0.93333 0.84211   0   0   0   0   0   0
## 914273   0   0   0   0   1 0.00000 0.93506 0.91349   0   0   0   0   0   0
## 703890   0   0   0   0   0 0.00000 0.94737 0.90667   0   0   0   0   0   0
## 752265   0   0   0   0   0 0.00000 0.80000 0.87500   0   0   0   0   0   0
## 274452   0   0   0   0   0 0.00000 0.67925 0.76096   0   0   0   0   0   0
## 594112   0   1   0   0   0 0.00000 0.96296 0.92562   0   0   0   0   0   0
## 533350   0   0   0   0   0 0.00000 0.87879 0.88660   0   0   0   0   0   0
## 171027   0   0   0   0   0 0.00000 0.96154 0.97021   0   0   0   0   0   0
## 583817   0   0   0   0   3 0.00000 0.90164 0.92748   0   0   0   0   0   0
## 955901   0   0   0   0   0 1.00000 0.75000 0.96000   0   0   0   0   0   0
## 152689   0   0   0   0   0 0.00000 1.00000 0.80000   0   0   0   0   0   0
## 731882   0   0   0   0   0 0.40000 1.00000 0.96970   0   0   0   0   0   0
## 826159   0   1   0   0   3 0.00000 0.91667 0.92121   0   0   0   0   0   0
## 689723   0   0   0   0   0 0.00000 0.91667 0.92308   0   0   0   0   0   0
## 611618   1   0   0   0   1 0.00000 0.00000 0.83815 400   0   0   0   0   0
## 814817   0   0   0   0   0 0.00000 0.95238 0.96787   0   0   0   0   0   0
## 761819   0   0   0   0   0 0.00000 0.89130 0.94850   0   0   0   0   0   0
## 50175    0   0   0   0   0 0.00000 0.94872 0.93000   0   0   0   0   0   0
## 652848   0   1   0   0   0 0.00000 0.93023 0.88462   0   0   0   0   0   0
## 237780   0   0   0   0   0 0.00000 0.80000 0.81538   0   0   0   0   0   0
## 82502    0   0   0   0   0 0.00000 0.93103 0.88976   0   0   0   0   0   0
## 710112   0   1   0   0   0 0.00000 0.86207 0.87037   0   0   0   0   0   0
## 379455   0   1   0   0   0 0.00000 0.96000 0.92199   0   0   0   0   0   0
## 932452   0   0   0   0   0 0.00000 0.88462 0.93333   0   0   0   0   0   0
## 921809   0   1   0   0   2 0.33333 0.93333 0.93709   0   0   0   0   0   0
## 5958     0   0   0   0   2 0.50000 1.00000 0.94167   0   0   0   0   0   0
## 655642   0   1   0   0   0 0.00000 0.91489 0.93991   0   0   0   0   0   0
## 191892   0   0   0   0   0 0.00000 0.00000 0.98621   0   0   0   0   0   0
## 269907   0   1   0   0   0 0.00000 0.85714 0.92683   0   0   0   0   0   0
## 80035    0   0   0   0   0 0.00000 0.90000 0.86207   0   0   0   0   0   0
## 404644   0   1   0   0   0 1.00000 0.91667 0.94323   0   0   0   0   0   0
## 340034   0   1   0   0   0 1.00000 0.90625 0.89256   0   0   0   0   0   0
## 995627   0   0   0   0   0 0.00000 0.96774 0.89444   0   0   0   0   0   0
## 110215   0   1   0   0   1 0.00000 0.92453 0.93061   0   0   0   0   0   0
## 372771   0   0   0   0   1 0.00000 0.90196 0.90196   0   0   0   0   0   0
## 488697   0   0   0   0   0 0.00000 0.95833 0.96226   0   0   0   0   0   0
## 624651   0   0   0   0   1 0.00000 0.88889 0.91429   0   0   0   0   0   0
## 88019    0   0   0   0   0 0.00000 0.98000 0.93448   0   0   0   0   0   0
## 669552   0   0   0   0   1 0.00000 0.86364 0.90909   0   0   0   0   0   0
## 377104   0   0   0   0   0 0.00000 0.92593 0.87814   0   0   0   0   0   0
## 858602   0   1   0   0   1 0.00000 0.97143 0.94156   0   0   0   0   0   0
## 312131   0   0   0   0   3 0.25000 0.88889 0.88278   0   0   0   0   0   0
## 853549   0   3   0   0   0 0.00000 0.94872 0.93575   0   0   0   0   0   0
## 45539    0   0   0   0   0 0.00000 0.82759 0.87963   0   0   0   0   0   0
## 711765   0   0   0   0   0 0.00000 0.00000 0.00000   0   0   0   0   0   0
## 809735   0   0   0   0   0 0.00000 0.86667 0.90000   0   0   0   0   0   0
## 933122   0   0   0   0   0 0.00000 0.92593 0.93919   0   0   0   0   0   0
## 107581   0   0   0   0   3 0.33333 0.94444 0.91743   0   0   0   0   0   0
## 742677   0   0   0   0   0 0.00000 1.00000 0.99167   0   0   0   0   0   0
## 866758   0   0   0   0   0 0.00000 0.92593 0.94348   0   0   0   0   0   0
## 496794   0   1   0   0   0 0.00000 0.89474 0.89121   0   0   0   0   0   0
## 286418   0   1   0   0   2 0.50000 0.93750 0.92778   0   0   0   0   0   0
## 281925   0   0   0   0   2 0.00000 1.00000 0.93229   0   0   0   0   0   0
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## 159913   0   1   0   0   5 0.00000 0.93333 0.94022   0   0   0   0   0   0
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## 430129   0   0   0   0   0 0.00000 1.00000 0.91429   0   0   0   0   0   0
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## 577303   0   0   0   0   0 0.00000 1.00000 0.87500   0   0   0   0   0   0
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## 221157   0   0   0   0   0 0.00000 1.00000 0.88571   0   0   0   0   0   0
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## 468439   0   0   0   0   0 0.00000 0.85000 0.91089   0   0   0   0   0   0
## 484052   0   0   0   0   0 0.00000 0.95652 0.87755   0   0   0   0   0   0
## 611584   0   1   0   0   3 0.33333 0.83333 0.91080   0   0   0   0   0   0
## 449288   0   0   0   0   0 0.00000 0.92308 0.93333   0   0   0   0   0   0
## 936488   0   1   0   0   1 1.00000 1.00000 0.92222   0   0   0   0   0   0
## 926293   0   0   0   0   0 0.00000 0.00000 0.90000   0   0   0   0   0   0
## 749043   0   1   0   0   1 0.00000 0.90625 0.91457   0   0   0   0   0   0
## 493793   0   0   0   0   0 0.00000 0.90000 0.92500   0   0   0   0   0   0
## 572761   0   0   0   0   0 0.00000 0.84375 0.84746   0   0   0   0   0   0
## 683188   0   1   0   0   2 0.00000 0.90323 0.86986   0   0   0   0   0   0
## 152332   0   0   0   0   0 0.00000 0.97826 0.99573   0   0   0   0   0   0
## 606399   0   1   0   0   2 0.66667 0.90909 0.93605   0   0   0   0   0   0
## 654582   0   1   0   0   0 0.00000 0.97778 0.96000   0   0   0   0   0   0
## 794654   0   0   0   0   0 0.00000 0.92683 0.89231   0   0   0   0   0   0
## 250468   0   0   0   0   0 0.00000 0.94118 0.97143   0   0   0   0   0   0
## 829650   0   0   0   0   0 0.50000 0.92105 0.89381   0   0   0   0   0   0
## 887690   0   0   0   0   0 0.00000 1.00000 0.92000   0   0   0   0   0   0
## 698898   0   0   0   0   0 0.00000 1.00000 0.97500   0   0   0   0   0   0
## 512377   0   0   0   0   0 1.00000 1.00000 0.93103   0   0   0   0   0   0
## 995484   0   1   0   0   0 0.00000 0.92105 0.91573   0   0   0   0   0   0
## 997543   0   0   0   0   0 0.00000 0.85714 0.84962   0   0   0   0   0   0
## 486126   0   0   0   0   0 0.33333 0.78788 0.87143   0   0   0   0   0   0
## 337769   0   0   0   0   0 0.00000 0.91111 0.90455   0   0   0   0   0   0
## 992179   0   0   0   0   0 0.33333 0.94231 0.94841   0   0   0   0   0   0
## 145073   0   0   0   0   0 0.00000 0.92857 0.90821   0   0   0   0   0   0
## 368317   0   0   0   0   0 0.00000 1.00000 1.00000   0   0   0   0   0   0
## 390934   0   1   0   0   0 0.00000 0.81818 0.72432   0   0   0   0   0   0
## 112337   0   0   0   0   0 0.33333 0.94915 0.92283   0   0   0   0   0   0
## 814852   0   0   0   0   0 0.00000 1.00000 0.97561   0   0   0   0   0   0
## 450605   0   2   0   0   0 1.00000 1.00000 0.95890   0   0   0   0   0   0
## 438343   0   0   0   0   0 0.00000 0.95000 0.88772   0   0   0   0   0   0
## 994056   0   0   0   0   0 0.00000 0.95556 0.93103   0   0   0   0   0   0
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## 130788   0   0   0   0   2 0.00000 0.93750 0.92908   0   0   0   0   0   0
## 704224   0   0   0   0   0 0.20000 0.98077 0.97188   0   0   0   0   0   0
## 118158   0   0   0   0   0 0.00000 0.97368 0.97143   0   0   0   0   0   0
## 771603   0   0   0   0   2 0.00000 0.93548 0.95726   0   0   0   0   0   0
## 544608   0   0   0   0   0 0.00000 0.92308 0.94286   0   0   0   0   0   0
## 549927   0   0   0   0   0 0.00000 1.00000 0.90000   0   0   0   0   0   0
## 35142    0   0   0   0   0 0.00000 0.89362 0.90868   0   0   0   0   0   0
## 602147   0   0   0   0   0 0.00000 0.84211 0.88971   0   0   0   0   0   0
## 191331   0   0   0   0   2 0.00000 0.90000 0.91045   0   0   0   0   0   0
## 153743   0   0   0   0   0 0.00000 0.79167 0.90588   0   0   0   0   0   0
## 157262   0   2   0   0   0 0.00000 0.88679 0.90800   0   0   0   0   0   0
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## 127495   0   0   0   0   1 0.00000 0.92308 0.90000   0   0   0   0   0   0
## 119129   0   0   0   0   0 0.00000 0.89394 0.93175   0   0   0   0   0   0
## 579486   0   1   0   0   0 0.00000 0.88889 0.93750   0   0   0   0   0   0
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## 643110   0   0   0   0   3 0.00000 0.94545 0.93200   0   0   0   0   0   0
## 255592   0   0   0   0   0 0.00000 0.90244 0.91250   0   0   0   0   0   0
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## 866848   0   0   0   0   2 1.00000 0.90000 0.92609   0   0   0   0   0   0
## 58221    0   1   0   0   1 0.00000 0.87500 0.92222   0   0   0   0   0   0
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## 521701   0   0   0   0   0 0.00000 1.00000 0.95918   0   0   0   0   0   0
## 45886    0   0   0   0   0 0.00000 0.98113 0.94074   0   0   0   0   0   0
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## 407331   0   0   0   0   0 0.00000 1.00000 0.93750   0   0   0   0   0   0
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## 922704   0   0   0   0   0 0.00000 0.88235 0.90000   0   0   0   0   0   0
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## 873326   0   1   0   0   1 0.00000 1.00000 0.95000   0   0   0   0   0   0
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## 867371   0   0   0   0   0 0.00000 0.88235 0.94595   0   0   0   0   0   0
## 234564   0   0   0   0   0 0.00000 0.87234 0.88843   0   0   0   0   0   0
## 836566   0   0   0   0   0 0.00000 1.00000 0.95238   0   0   0   0   0   0
## 841434   0   1   0   0   0 0.50000 0.96923 0.91667   0   0   0   0   0   0
## 745866   0   0   0   0   2 0.00000 0.82927 0.81884   0   0   0   0   0   0
## 109130   0   0   0   0   0 0.00000 0.85417 0.88696   0   0   0   0   0   0
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## 259231   0   1   0   0   0 0.00000 0.90000 0.89892   0   0   0   0   0   0
## 574199   0   1   0   0   1 0.25000 1.00000 0.92265 100   0   0   0   0   0
## 66488    0   0   0   0   1 0.25000 0.88889 0.92523   0   0   0   0   0   0
## 300594   0   2   0   0   0 0.00000 0.88000 0.92373   0   0   0   0   0   0
## 354742   0   0   0   0   0 0.00000 0.85714 0.89333   0   0   0   0   0   0
## 579731   0   0   0   0   2 0.00000 0.91837 0.93886   0   0   0   0   0   0
## 824749   0   0   0   0   0 0.00000 1.00000 1.00000   0   0   0   0   0   0
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## 630305   0   0   0   0   1 0.00000 0.95000 0.92164   0   0   0   0   0   0
## 861008   0   0   0   0   0 0.50000 0.92537 0.93567   0   0   0   0   0   0
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## 936692   0   0   0   0   0 0.33333 1.00000 0.99320   0   0   0   0   0   0
## 983944   0   0   0   0   0 0.00000 0.92308 0.91358   0   0   0   0   0   0
## 579522   0   0   0   0   0 0.50000 0.97917 0.92694   0   0   0   0   0   0
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## 861656   0   2   0   0   1 0.00000 0.92857 0.92333   0   0   0   0   0   0
## 508108   0   1   0   0   1 0.66667 0.96552 0.96000   0   0   0   0   0   0
## 56586    0   0   0   0   0 0.00000 0.96000 0.91538   0   0   0   0   0   0
## 166895   0   0   0   0   2 0.00000 0.93750 0.96053   0   0   0   0   0   0
## 250714   0   0   0   0   0 0.00000 0.80000 0.88525   0   0   0   0   0   0
## 160543   0   1   0   0   1 0.00000 1.00000 0.96124   0   0   0   0   0   0
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## 412940   0   1   0   0   1 0.00000 0.81188 0.89912   0   0   0   0   0   0
## 912996   0   1   0   0   1 0.33333 0.90000 0.90045   0   0   0   0   0   0
## 257225   0   1   0   0   1 0.66667 0.93277 0.94810   0   0   0   0   0   0
## 935283   0   0   0   0   0 0.00000 0.89744 0.93989   0   0   0   0   0   0
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## 889077   0   1   0   0   0 1.00000 0.88372 0.88742   0   0   0   0   0   0
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## 885581   0   0   0   0   0 0.00000 0.89474 0.92593   0   0   0   0   0   0
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## 261146   0   0   0   0   0 0.00000 1.00000 0.93333   0   0   0   0   0   0
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## 926321   0   0   0   0   0 0.00000 0.90909 0.91597   0   0   0   0   0   0
## 526252   0   0   0   0   0 0.00000 0.98077 0.97778   0   0   0   0   0   0
## 817397   0   0   0   0   0 0.00000 0.85000 0.92742   0   0   0   0   0   0
## 948009   0   1   0   0   0 0.33333 0.83721 0.85882   0   0   0   0   0   0
## 846492   0   0   0   0   0 0.00000 0.84211 0.86813   0   0   0   0   0   0
## 772769   0   0   0   0   0 0.00000 0.91667 0.92778   0   0   0   0   0   0
## 487277   0   0   0   0   0 0.00000 0.96721 0.95067   0   0   0   0   0   0
## 820621   0   0   0   0   0 0.00000 1.00000 0.97590   0   0   0   0   0   0
## 160317   0   0   0   0   1 0.00000 0.84906 0.89177   0   0   0   0   0   0
## 80472    0   0   0   0   0 0.00000 0.85185 0.90860   0   0   0   0   0   0
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## 936275   0   0   0   0   0 0.00000 0.00000 0.00000   0   0   0   0   0   0
## 780983   0   0   0   0   0 0.00000 1.00000 0.99200   0   0   0   0   0   0
## 604688   0   0   0   0   0 0.00000 0.84848 0.91209   0   0   0   0   0   0
## 205017   0   0   0   0   1 0.00000 0.79545 0.85169   0   0   0   0   0   0
## 60643    0   0   0   0   0 0.00000 0.98214 0.96538   0   0   0   0   0   0
## 905541   0   0   0   0   0 0.00000 0.93750 0.90854   0   0   0   0   0   0
## 924806   0   0   0   0   0 0.00000 0.93182 0.94949   0   0   0   0   0   0
## 964989   0   0   0   0   0 0.00000 0.85714 0.86667   0   0   0   0   0   0
## 67232    0   1   0   0   0 0.00000 0.92308 0.93519   0   0   0   0   0   0
## 919280   0   0   0   0   1 0.00000 1.00000 0.95000   0   0   0   0   0   0
## 945321   0   0   0   0   0 0.00000 0.00000 0.00000   0   0   0   0   0   0
## 624284   0   1   0   0   0 0.00000 0.87931 0.89726   0   0   0   0   0   0
## 897539   0   0   0   0   0 0.00000 1.00000 0.88889   0   0   0   0   0   0
## 661479   0   0   0   0   0 0.00000 0.81818 0.85806   0   0   0   0   0   0
## 420779   0   0   0   0   0 0.00000 1.00000 0.96000   0   0   0   0   0   0
## 163415   0   0   0   0   0 1.00000 0.90909 0.90991   0   0   0   0   0   0
## 142359   0   0   0   0   1 0.00000 0.93103 0.89209   0   0   0   0   0   0
## 159131   0   0   0   0   0 0.00000 0.80000 0.92500   0   0   0   0   0   0
## 308122   0   1   0   0   0 0.00000 0.95349 0.91250   0   0   0   0   0   0
## 280064   0   0   0   0   0 0.00000 1.00000 0.99000   0   0   0   0   0   0
## 540235   0   4   0   0   0 0.00000 0.88889 0.89781   0   0   0   0   0   0
## 574659   0   0   0   0   0 0.00000 0.75000 0.82143   0   0   0   0   0   0
## 893526   0   0   0   0   0 0.00000 1.00000 0.90476   0   0   0   0   0   0
## 959923   0   0   0   0   0 0.00000 0.85106 0.89950   0   0   0   0   0   0
## 161268   0   0   0   0   3 0.00000 0.90698 0.91960   0   0   0   0   0   0
## 775145   0   1   0   0   0 0.00000 0.85000 0.89116   0   0   0   0   0   0
## 940378   0   0   0   0   0 0.00000 0.94595 0.95000   0   0   0   0   0   0
## 584822   0   1   0   0   0 0.00000 0.98077 0.96465   0   0   0   0   0   0
## 321441   0   1   0   0   0 0.00000 0.88000 0.87288   0   0   0   0   0   0
## 352630   0   0   0   0   0 0.00000 0.86957 0.89831   0   0   0   0   0   0
## 197737   0   0   0   0   0 1.00000 1.00000 0.95000   0   0   0   0   0   0
## 117544   0   0   0   0   1 0.00000 0.93939 0.90286   0   0   0   0   0   0
## 99774    0   1   0   0   0 0.00000 0.92683 0.85909   0   0   0   0   0   0
## 672266   0   0   0   0   0 0.00000 0.89655 0.92806   0   0   0   0   0   0
## 66180    0   0   0   0   0 0.00000 0.97917 0.95105   0   0   0   0   0   0
## 42972    0   0   0   0   1 0.00000 0.96078 0.96698   0   0   0   0   0   0
## 893209   0   0   0   0   0 0.00000 0.85714 0.92500   0   0   0   0   0   0
## 174068   0   0   0   0   0 0.00000 0.83333 0.92000   0   0   0   0   0   0
## 507447   0   1   0   0   0 0.00000 0.88889 0.82716   0   0   0   0   0   0
## 387278   0   0   0   0   0 0.00000 0.91667 0.93443   0   0   0   0   0   0
## 767236   0   2   0   0   0 0.00000 0.91803 0.92015   0   0   0   0   0   0
## 242588   0   1   0   0   1 0.50000 0.96970 0.94898   0   0   0   0   0   0
## 278289   0   0   0   0   0 0.00000 0.94737 0.88312   0   0   0   0   0   0
## 90458    0   0   0   0   0 0.00000 0.82609 0.83846   0   0   0   0   0   0
## 570944   0   0   0   0   0 0.00000 0.88372 0.87500   0   0   0   0   0   0
## 425796   0   0   0   0   0 0.00000 0.93333 0.91667   0   0   0   0   0   0
## 725753   0   1   0   0   0 0.50000 0.95652 0.96063   0   0   0   0   0   0
## 471299   0   1   0   0   0 0.00000 0.79688 0.86477   0   0   0   0   0   0
## 946142   0   1   0   0   0 0.00000 0.93939 0.87162   0   0   0   0   0   0
## 826677   0   0   0   0   0 0.00000 1.00000 0.95000   0   0   0   0   0   0
## 492899   0   1   0   0   1 0.00000 0.76923 0.88235   0   0   0   0   0   0
## 221107   0   1   0   0   1 0.25000 0.94030 0.93548   0   0   0   0   0   0
## 696594   0   2   0   0   0 0.00000 0.86364 0.85870   0   0   0   0   0   0
## 747248   0   0   0   0   0 0.00000 0.84211 0.93000   0   0   0   0   0   0
## 811606   0   1   0   0   0 0.50000 1.00000 0.92771   0   0   0   0   0   0
## 990051   0   0   0   0   0 0.00000 0.86364 0.89256   0   0   0   0   0   0
## 76275    0   0   0   0   1 0.00000 0.93939 0.92593   0   0   0   0   0   0
## 43843    0   0   0   0   1 0.00000 0.97222 0.95161   0   0   0   0   0   0
## 306825   0   0   0   0   0 0.66667 0.98000 0.95169   0   0   0   0   0   0
## 371199   0   0   0   0   0 0.00000 1.00000 0.97351   0   0   0   0   0   0
## 625542   0   0   0   0   0 0.00000 0.94118 0.91333   0   0   0   0   0   0
## 640239   0   0   0   0   0 0.00000 0.88462 0.92105   0   0   0   0   0   0
## 569394   0   0   0   0   0 0.00000 1.00000 0.97959   0   0   0   0   0   0
## 386031   0   0   0   0   0 0.00000 0.00000 0.00000   0   0   0   0   0   0
## 404727   0   1   0   0   0 0.00000 0.97222 0.91919   0   0   0   0   0   0
## 92879    0   0   0   0   3 0.33333 0.80769 0.90816   0   0   0   0   0   0
## 747913   0   0   0   0   1 1.00000 0.94118 0.93289   0   0   0   0   0   0
## 721428   0   0   0   0   0 0.00000 0.83333 0.86331   0   0   0   0   0   0
## 232529   0   0   0   0   0 0.00000 0.00000 0.00000   0   0   0   0   0   0
## 602483   0   1   0   0   0 0.00000 0.97436 0.93125   0   0   0   0   0   0
## 68010    0   1   0   0   0 0.00000 0.87097 0.89831   0   0   0   0   0   0
## 264721   0   0   0   0   0 0.00000 0.97101 0.92333   0   0   0   0   0   0
## 633679   0   1   0   0   0 0.00000 0.86957 0.91803   0   0   0   0   0   0
## 289843   0   0   0   0   0 0.00000 0.00000 0.00000   0   0   0   0   0   0
## 578008   0   0   0   0   0 0.00000 0.93939 0.77397   0   0   0   0   0   0
## 423069   0   0   0   0   1 0.00000 0.96667 0.94845   0   0   0   0   0   0
## 428989   0   0   0   0   0 0.00000 0.87097 0.92908   0   0   0   0   0   0
## 698615   0   0   0   0   0 0.37500 0.92453 0.94561   0   0   0   0   0   0
## 547726   0   1   0   0   0 0.00000 0.86364 0.90244   0   0   0   0   0   0
## 736445   0   0   0   0   2 1.00000 1.00000 0.93960   0   0   0   0   0   0
## 777728   0   0   0   0   0 0.00000 0.92500 0.89247   0   0   0   0   0   0
## 683736   0   1   0   0   0 0.00000 0.83333 0.79365   0   0   0   0   0   0
## 571717   0   0   0   0   0 0.00000 0.89362 0.91000   0   0   0   0   0   0
## 136880   0   0   0   0   0 0.00000 1.00000 0.86301   0   0   0   0   0   0
## 527264   0   1   0   0   2 0.66667 0.94118 0.90654   0   0   0   0   0   0
## 677487   0   0   0   0   0 0.00000 0.86364 0.85646   0   0   0   0   0   0
## 887828   0   1   0   0   0 1.00000 0.94444 0.91534   0   0   0   0   0   0
## 519474   0   0   0   0   0 0.00000 0.91489 0.90837   0   0   0   0   0   0
## 709687   0   1   0   0   1 0.00000 0.93750 0.95181   0   0   0   0   0   0
## 239560   0   0   0   0   0 0.00000 0.98039 0.94561   0   0   0   0   0   0
## 170858   0   0   0   0   0 0.00000 0.91176 0.88095   0   0   0   0   0   0
## 309882   0   1   0   0   0 0.00000 0.93333 0.90000   0   0   0   0   0   0
## 359175   0   0   0   0   0 0.00000 0.89474 0.91304   0   0   0   0   0   0
## 890866   0   0   0   0   0 0.20000 1.00000 0.93868   0   0   0   0   0   0
## 665395   0   0   0   0   0 0.00000 0.88636 0.88688   0   0   0   0   0   0
## 711826   0   0   0   0   0 0.00000 0.94286 0.83240   0   0   0   0   0   0
## 259233   0   0   0   0   0 0.00000 0.94521 0.92500   0   0 100   0   0   0
## 543348   0   1   0   0   0 0.00000 0.89552 0.92013   0   0   0   0   0   0
## 481391   0   0   0   0   0 0.00000 0.87097 0.85315   0   0   0   0   0   0
## 216135   0   0   0   0   0 0.14286 0.86441 0.83582   0   0   0   0   0   0
## 794215   0   0   0   0   0 0.00000 0.85714 0.90476   0   0   0   0   0   0
## 872375   0   0   0   0   0 0.00000 0.85000 0.88764   0   0   0   0   0   0
## 1141     0   0   0   0   0 0.00000 0.80000 0.84286   0   0   0   0   0   0
## 411347   0   0   0   0   0 0.00000 0.96154 0.90598   0   0   0   0   0   0
## 255682   0   0   0   0   1 0.00000 0.93333 0.95652   0   0   0   0   0   0
## 3722     0   0   0   0   2 0.00000 0.97778 0.90385   0   0   0   0   0   0
## 866564   0   0   0   0   0 0.00000 0.84211 0.90419   0   0   0   0   0   0
## 82677    0   0   0   0   0 0.00000 0.93333 0.93023   0   0   0   0   0   0
## 127451   0   1   0   0   0 0.00000 1.00000 0.90556   0   0   0   0   0   0
## 78601    0   0   0   0   0 0.00000 0.93333 0.92500   0   0   0   0   0   0
## 746425   0   0   0   0   0 0.00000 0.92593 0.89416   0   0   0   0   0   0
## 544198   0   0   0   0   1 0.00000 1.00000 1.00000   0   0   0   0   0   0
## 761370   0   2   0   0   0 0.00000 0.93023 0.91630   0   0   0   0   0   0
## 92681    0   0   0   0   0 0.00000 0.85714 0.94595   0   0   0   0   0   0
## 173687   0   2   0   0   2 1.00000 0.90625 0.92409   0 100   0   0   0   0
## 541326   0   1   0   0   0 0.00000 0.95000 0.91209   0   0   0   0   0   0
## 818921   0   1   0   0   1 0.50000 0.88525 0.88450   0   0   0   0   0   0
## 515545   0   1   0   0   1 0.00000 0.89231 0.90444   0   0   0   0   0   0
## 17624    0   0   0   0   0 0.00000 0.92857 0.93197   0   0   0   0   0   0
## 206097   0   0   0   0   0 0.00000 0.80000 0.81884   0   0   0   0   0   0
## 772468   0   1   0   0   0 0.00000 0.96667 0.91818   0   0   0   0   0   0
## 461379   0   0   0   0   0 0.00000 0.90323 0.93956   0   0   0   0   0   0
## 224154   0   0   0   0   0 0.00000 0.92105 0.94375   0   0   0   0   0   0
## 472222   0   0   0   0   0 0.00000 0.00000 0.00000   0   0   0   0   0   0
## 440750   0   0   0   0   0 0.00000 0.77778 0.84615   0   0   0   0   0   0
## 829204   0   1   0   0   1 0.50000 0.92000 0.91489   0   0   0   0   0   0
## 593799   0   1   0   0   1 0.00000 0.95238 0.94792   0   0   0   0   0   0
## 354459   0   0   0   0   0 1.00000 0.95238 0.84426   0   0   0   0   0   0
## 336156   0   0   0   0   1 0.00000 0.89655 0.95082   0   0   0   0   0   0
## 482999   0   0   0   0   0 0.00000 0.72222 0.86667   0   0   0   0   0   0
## 661723   0   1   0   0   0 0.00000 0.92405 0.91388   0   0   0   0   0   0
## 721977   0   0   0   0   0 0.42857 0.98246 0.94565   0   0   0   0   0   0
## 825226   0   0   0   0   0 0.00000 0.95652 0.94545   0   0   0   0   0   0
## 307495   0   2   0   0   2 0.50000 0.85185 0.89051   0   0   0   0   0   0
## 958857   1   1   0   0   0 0.00000 0.87879 0.92813   0   0   0   0   0   0
## 302268   0   0   0   0   0 0.00000 0.97436 0.93243   0   0   0   0   0   0
## 663533   0   0   0   0   0 0.00000 0.97436 0.96364   0   0   0   0   0   0
## 26594    0   0   0   0   0 0.25000 0.96154 0.92746   0   0   0   0   0   0
## 319513   0   0   0   0   1 0.10526 0.98246 0.94269   0   0   0   0   0   0
## 620082   0   0   0   0   0 0.00000 0.78571 0.82707   0   0   0   0   0   0
## 401637   0   0   0   0   2 0.00000 1.00000 0.91667   0   0   0   0   0   0
## 943709   0   0   0   0   1 0.00000 0.90196 0.91703   0   0   0   0   0   0
## 5611     0   0   0   0   0 0.33333 0.95614 0.94044   0   0   0   0   0   0
## 200353   0   0   0   0   0 0.00000 0.00000 0.00000   0   0   0   0   0   0
## 200182   0   0   0   0   0 0.00000 0.00000 0.00000   0   0   0   0   0   0
## 868826   0   0   0   0   0 0.00000 0.97500 0.95313   0   0   0   0   0   0
## 654451   0   0   0   0   0 0.00000 0.00000 1.00000   0   0   0   0   0   0
## 559329   0   0   0   0   0 0.00000 0.86486 0.92500   0   0   0   0   0   0
## 667004   0   3   0   0   1 0.20000 0.88889 0.91333   0   0   0   0   0   0
## 743335   0   0   0   0   0 0.00000 0.91667 0.95000   0   0   0   0   0   0
## 305216   0   2   0   0   2 0.00000 0.95122 0.93780   0   0   0   0   0   0
## 47842    0   0   0   0   0 0.00000 0.88000 0.89516   0   0   0   0   0   0
## 88527    0   0   0   0   0 0.00000 0.77778 0.93103   0   0   0   0   0   0
## 939390   0   1   0   0   0 0.00000 0.62500 0.78689   0   0   0   0   0   0
## 89732    0   0   0   0   0 0.00000 1.00000 0.96667   0   0   0   0   0   0
## 588243   0   0   0   0   1 0.00000 1.00000 0.99000   0   0   0   0   0   0
## 668540   0   0   0   0   0 0.00000 1.00000 0.96154   0   0   0   0   0   0
## 875400   0   0   0   0   0 0.00000 0.89189 0.92147   0   0   0   0   0   0
## 177926   0   0   0   0   0 0.00000 0.94444 0.88333   0   0   0   0   0   0
## 398089   0   0   0   0   0 0.00000 0.91429 0.94444   0   0   0   0   0   0
## 753951   0   0   0   0   0 0.66667 0.98113 0.87736   0   0   0   0   0   0
## 953822   0   0   0   0   1 0.00000 0.90698 0.93304   0   0   0   0   0   0
## 952760   0   0   0   0   0 0.00000 1.00000 0.91275   0   0   0   0   0   0
## 242006   0   0   0   0   2 0.00000 0.92593 0.93284   0   0   0   0   0   0
## 50230    0   1   0   0   0 0.33333 0.81579 0.82941   0   0   0   0   0   0
## 252210   0   0   0   0   0 0.00000 0.82857 0.86667   0   0   0   0   0   0
## 239543   0   0   0   0   0 0.00000 0.85185 0.87273   0   0   0   0   0   0
## 460009   0   0   0   0   0 1.00000 1.00000 0.95122   0   0   0   0   0   0
## 933735   0   0   0   0   0 0.00000 0.94286 0.92903   0   0   0   0   0   0
## 133230   0   1   0   0   0 0.00000 0.85057 0.85106   0   0   0   0   0   0
## 840114   0   0   0   0   0 0.00000 0.00000 0.00000   0   0   0   0   0   0
## 347207   0   1   0   0   0 0.20000 0.94118 0.90135   0   0   0   0   0   0
## 906240   0   0   0   0   1 0.33333 0.90000 0.92466   0   0   0   0   0   0
## 341839   0   0   0   0   0 0.00000 0.00000 0.00000   0   0   0   0   0   0
## 153154   0   1   0   0   0 0.00000 0.89130 0.90667   0   0   0   0   0   0
## 823385   0   0   0   0   0 0.00000 0.95000 0.92222   0   0   0   0   0   0
## 835121   0   1   0   0   0 0.00000 0.94118 0.90000   0   0   0   0   0   0
## 109684   0   0   0   0   2 0.00000 0.92500 0.88372   0   0   0   0   0   0
## 135209   0   0   0   0   0 0.00000 0.87234 0.91667   0   0   0   0   0   0
## 584566   0   2   0   0   1 0.00000 0.96491 0.94048   0   0   0   0   0   0
## 462763   0   0   0   0   0 0.00000 0.00000 0.00000   0   0   0   0   0   0
## 176038   0   0   0   0   1 0.00000 0.97727 0.96087   0   0   0   0   0   0
## 672377   0   0   0   0   0 0.00000 0.93750 0.94500   0   0   0   0   0   0
## 850278   0   0   0   0   0 0.00000 0.85135 0.88259   0   0   0   0   0   0
## 948790   0   0   0   0   0 0.00000 0.88235 0.86441   0   0   0   0   0   0
## 180607   0   0   0   0   0 0.00000 0.82353 0.87261   0   0   0   0   0   0
## 355353   0   0   0   0   0 0.00000 0.96296 0.93038   0   0   0   0   0   0
## 182274   0   1   0   0   0 0.66667 0.90476 0.90062   0   0   0   0   0   0
##        A33 A34 A35  A36  A37 A38 A39  A40 A41 A42 A43     A44 A45 A46
## 425530   0   0   0    0    0   0   0    0   0   0  23 0.92174  19  20
## 776120   0   0   0    0    0   0   0    0   0   0  20 0.90256  19  38
## 276197   0   0   0    0    0   0   0    0   0   0  10 0.92000  15  15
## 221572   0   0   0    0    0   0   0    0   0   0   2 0.85714  24  24
## 692433   0   0   0    0    0   0   0    0   0   0  11 0.73684  15  28
## 424225   0   0   0    0    0   0   0    0   0   0  19 0.83158  28  29
## 107707   0   0   0    0    0   0   0    0   0   0  33 0.83939  26  27
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## 948790  40507 5714   8   0   0   0 0.00000  45
## 180607  45632 5070  16   1   0   0 0.00000 153
## 355353  63681 3536  17   3   0   0 0.00000  80
## 182274  54032 4269  18   2   3   0 0.00000  74

정보량이 0에 가까운 변수를 삭제

nzv                     <- nearZeroVar(user.action.f)
user.action.f.filterd   <- user.action.f[,-nzv]

변수간에 상관이 높은 것을 삭제

user.action.cor         <- cor(user.action.f.filterd)
highly.cor.f            <- findCorrelation(user.action.cor,cutoff=.7)
user.action.f.filterd   <- user.action.f.filterd[,-highly.cor.f]

주성분 분석 실행

pca

user.action.pca.base <- prcomp(user.action.f.filterd, scale = T)
user.action.pca.base$rotation
##            PC1         PC2          PC3         PC4          PC5
## A2  0.02165096 -0.27673387  0.121454768  0.50035652 -0.192214594
## A5  0.32139471 -0.04190589 -0.118495133  0.13330903 -0.150310890
## A6  0.14461112 -0.34546707 -0.148306593 -0.23264370  0.184507799
## A8  0.11435129 -0.28058549 -0.036116514 -0.11592293 -0.182899271
## A11 0.25377524  0.26232214  0.262472749 -0.01440850  0.371848845
## A12 0.27425630  0.08852295  0.084593591  0.11998022  0.562656582
## A13 0.22541185  0.23987208 -0.283680299 -0.07105150 -0.281280089
## A14 0.34855233  0.08951403 -0.157235790  0.12043774 -0.051537415
## A17 0.34284483 -0.16917200  0.008209125  0.21258618  0.196500742
## A20 0.09955915 -0.23924453  0.109651167  0.55865375 -0.019037878
## A25 0.21733180 -0.08548726  0.439915738 -0.15667497 -0.274796445
## A43 0.29036648 -0.31722015 -0.055008918 -0.16300536  0.167967554
## A44 0.22259828 -0.09081834  0.440940821 -0.17132377 -0.306602869
## A45 0.20367652  0.19343759  0.378233716 -0.15489437 -0.106287669
## A47 0.27652862  0.12641301 -0.347028010 -0.06038622 -0.119309260
## A50 0.27439431  0.09421103 -0.291231102  0.07856812 -0.243309589
## A51 0.09577609 -0.31330243 -0.112627247 -0.33724909  0.121169331
## A53 0.02719125 -0.26906960 -0.024858007 -0.20933983  0.002657109
## A54 0.19652788  0.38277049  0.044539879 -0.03203229  0.014472392
##             PC6          PC7         PC8          PC9        PC10
## A2   0.26056657 -0.083450498  0.10991966 -0.392139160  0.18210868
## A5  -0.10418351 -0.044907281 -0.08281366  0.204742907  0.20444007
## A6   0.29509290  0.083076903 -0.27205024 -0.097906790 -0.57621628
## A8   0.35618572  0.167254233  0.70256292  0.335151400  0.01890298
## A11  0.11428196  0.071271620  0.22603531 -0.151369288 -0.01972767
## A12 -0.16203896 -0.139895012  0.27286525 -0.007841965  0.02361493
## A13 -0.04326329 -0.088587239  0.13793211 -0.557610398 -0.20444104
## A14 -0.10760357 -0.092013204  0.19560240 -0.226914658 -0.10026155
## A17 -0.12014703  0.004506251 -0.17116466  0.233579432  0.14738189
## A20  0.09248643  0.250924331 -0.16029493 -0.032088255 -0.20486844
## A25 -0.23067057 -0.187978770  0.03041915  0.027103702 -0.14521959
## A43 -0.09490177 -0.064356195 -0.15201793 -0.003335045 -0.06866936
## A44 -0.18663386 -0.179759795 -0.06546737  0.030890975 -0.03518880
## A45  0.40586771  0.303095427 -0.14991608 -0.016899100  0.01230350
## A47  0.02499915  0.116012841  0.07878720  0.240030003 -0.14470635
## A50 -0.01090363 -0.010092716 -0.21118793  0.180474695  0.19710938
## A51  0.30898860 -0.322584471 -0.09515750 -0.249014831  0.51755933
## A53 -0.44424468  0.709621687  0.07684606 -0.294058786  0.25185905
## A54  0.27604220  0.259524963 -0.24303330 -0.027607955  0.24059050
##              PC11         PC12         PC13         PC14        PC15
## A2   0.5238706804 -0.100785308 -0.140803078  0.145022303 -0.09526185
## A5  -0.0447412394  0.147365281  0.655828843  0.417149638 -0.24396656
## A6   0.2134123114  0.133130678  0.123638290 -0.009081881 -0.12832604
## A8  -0.0555298297 -0.114444660  0.145544388 -0.225904889  0.07542678
## A11  0.0975897986  0.335499830  0.051898124 -0.045145066 -0.14784610
## A12  0.0320383896  0.030066427 -0.066932853 -0.080035477  0.09074536
## A13 -0.1382726611 -0.106748236  0.140934569 -0.176766162  0.12351561
## A14 -0.1437497715 -0.004187666  0.001008161  0.187367036  0.06812156
## A17  0.0558548867 -0.198576764 -0.127050211 -0.037351225  0.09471090
## A20 -0.6109587446  0.100246018 -0.076625211 -0.161892500  0.03414348
## A25 -0.0573464319 -0.054070239 -0.153044504 -0.217919970 -0.65687767
## A43  0.1386514963 -0.390391877  0.113887277 -0.088426643  0.17463413
## A44  0.0078616948  0.012318001 -0.059334645  0.091199469  0.54143181
## A45  0.0176353321  0.196855102 -0.017086701  0.239829906  0.19515345
## A47  0.0001733853 -0.050645936 -0.610416761  0.426564934 -0.13071361
## A50  0.2756572497  0.469936035 -0.100205319 -0.551543083  0.08217862
## A51 -0.3810421727  0.147717501 -0.185186069  0.041201154 -0.07962688
## A53  0.0567677958  0.089858164 -0.046765307  0.017368568 -0.04702809
## A54 -0.0302839071 -0.561616136  0.072160694 -0.205274819 -0.15333908
##              PC16        PC17         PC18         PC19
## A2   0.0640477140  0.05580463  0.009267409  0.072008178
## A5   0.1087264895  0.15421119  0.078995939  0.088842738
## A6   0.3069752804 -0.16143632  0.131727863 -0.084984590
## A8   0.0273730508 -0.02413135  0.029447267 -0.050940487
## A11  0.0247815911  0.34050501 -0.429046660 -0.342881332
## A12  0.1882460137 -0.05633512  0.421209665  0.469928635
## A13 -0.1185027603  0.31452280  0.343941547 -0.131896398
## A14 -0.0765114578 -0.71635410 -0.356881403 -0.044216782
## A17 -0.2106133578 -0.06864919  0.325248526 -0.652698164
## A20  0.0557253293  0.15417393 -0.093166038  0.126638011
## A25 -0.1184595186 -0.07325619  0.089670158  0.067284160
## A43 -0.4090764000  0.25727135 -0.399650816  0.316378245
## A44  0.4766741138  0.08742472 -0.077636425 -0.068580040
## A45 -0.4609003010 -0.12696423  0.252310180  0.189928663
## A47  0.1030630693  0.27545246 -0.042875712  0.088569841
## A50 -0.0005861195 -0.06355080 -0.079474845  0.145682441
## A51  0.0562964775  0.01035262  0.011181162 -0.018762928
## A53  0.0826268870 -0.03623045  0.038231002  0.009490416
## A54  0.3795262132 -0.10061183 -0.081477426  0.048903043

클러스터링 실행하기

user.action.pca     <- data.frame(user.action.pca.base$x)
keys                <- names(user.action.pca)
user.action.km      <- ykmeans(user.action.pca, keys, "PC1", 3:6)
table(user.action.km$cluster)
## 
##   1   2   3   4   5 
##  23 228  88 164  54
ggplot(user.action.km, aes(x=PC1,y=PC2,col=as.factor(cluster), shape=as.factor(cluster))) +
geom_point(size=2)

클러스터별 평균을 산출하기

user.action.f.filterd$cluster <- user.action.km$cluster

user.action.f.center <- ldply(
        lapply(sort(unique(user.action.f.filterd$cluster))
        ,function(i) {
            x <- user.action.f.filterd[user.action.f.filterd$cluster == i, -ncol(user.action.f.filterd)]
            apply(x, 2, function(d) mean(d)) }
        ))

레이더 차트용 데이터 작성하기

library(fmsb)

레이더 차트에 맞게 데이터를 만들어주는 함수

createRadarChartDataFrame <- function(df) {
    df <- data.frame(df)
    dfmax <- apply(df, 2, max) + 1
    dfmin <- apply(df, 2, min) - 1
    as.data.frame(rbind(dfmax, dfmin, df))
}

상관이 높은 변수 제외하기

df              <- user.action.f.center[, -(ncol(user.action.f.center) - 1)]
df.cor          <- cor(df)
df.highly.cor   <- findCorrelation(df.cor, cutoff = 0.91)

해석하기 쉬운 숫자가 되도록 직접 조절

df.filterd      <- df[, -df.highly.cor]

레이터 차트용 데이터 작성하기

df.filterd      <- createRadarChartDataFrame(scale(df.filterd))
names(df.filterd)
## [1] "A2"  "A11" "A20" "A44" "A47" "A51"
names(df.filterd) <- c("레벨", "지원횟수", "지원받은 횟수", "보스를 쓰러뜨린 횟수", "싸움횟수", "게임이용횟수")

radarchart(df.filterd, seg = 5, plty=1:5, plwd=4, pcol=rainbow(5))
legend("right", legend = 1:5, col=rainbow(5), lty=1:5)

# 클러스터별 KPI를 산출하기

user.action.f.filterd$user_id   <- as.numeric(rownames(user.action.f.filterd))
user.action.kpi                 <- merge(user.action.f.filterd, mau,by = "user_id")

ddply(user.action.kpi, .(cluster), summarize, arpu = round(mean(payment)), access_days = round(mean(access_days)))
##   cluster arpu access_days
## 1       1 1065          20
## 2       2  216          23
## 3       3  257          17
## 4       4  150          27
## 5       5 1504          28