2월 28일자 출석부에만 나오는 사람들의 분포

  group mark mark2
53 Red 0225 NA
58 Black 0225 NA
65 Black 0225 NA
72 Red 0225 NA
81 Black 0225 NA
109 Black 0225 NA
147 Black 0225 NA
175 Red 0225 NA
190 Red 0225 NA
201 Black 0225 NA
208 Red 0225 NA
211 Black 0225 NA
221 Red 0225 NA
223 Black 0225 NA
252 Red 0225 NA
255 Black 0225 NA
272 Red 0225 NA
276 Black 0225 NA
282 Red 0225 NA
306 Black 0225 NA
309 Black 0225 NA
311 Black 0225 NA
321 Red 0225 NA
361 Red 0225 NA
362 Black 0225 NA
363 Black 0225 NA
370 Red 0225 NA
374 Red 0225 NA
396 Black 0225 NA
397 Black 0225 NA
402 Black 0225 NA
423 Black 0225 NA
428 Black 0225 NA
454 Red 0225 NA
455 Red 0225 NA
458 Red 0225 NA
481 Red 0225 NA
506 Red 0225 NA
516 Red 0225 NA
526 Black 0225 NA
532 Black 0225 NA
590 Black 0225 NA
595 Red 0225 NA
600 Red 0225 NA
609 Red 0225 NA
616 Black 0225 NA
617 Black 0225 NA
637 Black 0225 NA
654 Red 0225 NA
706 Black 0225 NA
741 Red 0225 NA
749 Red 0225 NA
766 Red 0225 NA
773 Black 0225 NA
787 Black 0225 NA
795 Red 0225 NA
798 Black 0225 NA
819 Red 0225 NA
Red Black
28 30
## [1] 749

2월28일 출석부에도 나오는 사람들의 데이터 구조

## tibble [749 × 8] (S3: tbl_df/tbl/data.frame)
##  $ dept   : chr [1:749] "경영학과" "국어국문학전공" "러시아학과" "사회학과" ...
##  $ id     : chr [1:749] "20102935" "20131126" "20131731" "20132202" ...
##  $ name   : chr [1:749] "전형준" "이기수" "최서진" "권재현" ...
##  $ status : chr [1:749] "학생" "학생" "휴학" "학생" ...
##  $ email  : chr [1:749] "hyungjun0127@nate.com" "rltnehwjr17@naver.com" "choiso0804@naver.com" "kwonjh95@naver.com" ...
##  $ cell_no: chr [1:749] "01036929723" "01047314558" "01030074840" "01062973849" ...
##  $ group  : Factor w/ 2 levels "Red","Black": 1 1 2 1 1 1 1 2 2 1 ...
##  $ mark   : chr [1:749] "0225" "0225" "0225" "0225" ...

수강신청 변경으로 나간 사람들의 데이터 구조

## 'data.frame':    58 obs. of  14 variables:
##  $ id       : chr  "20171519" "20172106" "20172355" "20172635" ...
##  $ dept.x   : chr  NA NA NA NA ...
##  $ name.x   : chr  NA NA NA NA ...
##  $ status.x : chr  NA NA NA NA ...
##  $ email.x  : chr  NA NA NA NA ...
##  $ cell_no.x: chr  NA NA NA NA ...
##  $ mark2    : chr  NA NA NA NA ...
##  $ dept.y   : chr  "중국학과" "심리학과" "사회복지학전공" "광고홍보학과" ...
##  $ name.y   : chr  "박준우" "김연아" "최승호" "정의찬" ...
##  $ status.y : chr  "휴학" "학생" "학생" "학생" ...
##  $ email.y  : chr  "mc_woo1004@naver.com" "dusdkgusdk@naver.com" "moyc3382@naver.com" "uks9598@naver.com" ...
##  $ cell_no.y: chr  "01041990452" "01035638214" "01087259182" "01033607303" ...
##  $ group    : Factor w/ 2 levels "Red","Black": 1 2 2 1 2 2 2 1 1 2 ...
##  $ mark     : chr  "0225" "0225" "0225" "0225" ...

수강 신청 변경으로 새로 들어온 사람들의 데이터 구조

## tibble [165 × 7] (S3: tbl_df/tbl/data.frame)
##  $ dept   : chr [1:165] "식품영양학과" "사학전공" "중국학과" "화학과" ...
##  $ id     : chr [1:165] "20144146" "20151429" "20151501" "20154309" ...
##  $ name   : chr [1:165] "최의종" "이영찬" "고가인" "김경하" ...
##  $ status : chr [1:165] "학생" "학생" "학생" "학생" ...
##  $ email  : chr [1:165] "choiuijong@naver.com" "dldudgns18@naver.com" "kogain@naver.com" "h0518a@naver.com" ...
##  $ cell_no: chr [1:165] "01029682731" "01029295216" "01089653463" "01094219221" ...
##  $ mark2  : chr [1:165] "0305" "0305" "0305" "0305" ...

남아 있던 사람들 + 새로 들어온 사람들

## tibble [914 × 7] (S3: tbl_df/tbl/data.frame)
##  $ dept   : chr [1:914] "경영학과" "국어국문학전공" "러시아학과" "사회학과" ...
##  $ id     : chr [1:914] "20102935" "20131126" "20131731" "20132202" ...
##  $ name   : chr [1:914] "전형준" "이기수" "최서진" "권재현" ...
##  $ status : chr [1:914] "학생" "학생" "학생" "학생" ...
##  $ email  : chr [1:914] "hyungjun0127@nate.com" "rltnehwjr17@naver.com" "choiso0804@naver.com" "kwonjh95@naver.com" ...
##  $ cell_no: chr [1:914] "01036929723" "01047314558" "01030074840" "01062973849" ...
##  $ mark2  : chr [1:914] "0305" "0305" "0305" "0305" ...

새로 들어온 사람에게만 랜덤화 적용

##         X1      X2      X3      X4      X5      X6
## X1  1.0000 -0.0459 -0.0127 -0.0010  0.1250 -0.0037
## X2 -0.0459  1.0000 -0.0709  0.0013  0.0824 -0.0421
## X3 -0.0127 -0.0709  1.0000  0.0028 -0.0735 -0.0221
## X4 -0.0010  0.0013  0.0028  1.0000 -0.0075  0.0056
## X5  0.1250  0.0824 -0.0735 -0.0075  1.0000 -0.0359
## X6 -0.0037 -0.0421 -0.0221  0.0056 -0.0359  1.0000
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##    1.32    5.98    7.27    7.43    8.71   19.88
## [1] 2.02
## 2000700 2001180 2001259 2001491 2001509 2001670 2002891 2003331 2003682 2003807 2004091 2004162 2004662 2005082 2005156 2005473 2005828 2005894 2005966 2006126 2006380 2007298 
##    2.91    2.62    2.93    2.61    2.95    2.96    2.92    2.75    2.41    2.95    2.62    2.92    2.83    2.81    2.65    2.23    2.11    2.59    2.60    2.99    2.63    2.21 
## 2007370 2007722 2007828 2007840 2008318 2008512 2008589 2008726 2008870 2009222 2009450 2009461 2010111 2010120 2010648 2011004 2011195 2011245 2012194 2012214 2012485 2012623 
##    2.91    2.89    2.67    2.87    2.91    2.81    2.41    2.72    2.50    2.98    2.79    3.00    2.17    2.84    2.71    2.88    2.78    2.99    2.71    2.73    2.60    2.56 
## 2012734 2013086 2013100 2013186 2013310 2013761 2014102 2014412 2014751 2015201 2015280 2016256 2016542 2016874 2017205 2017713 2017899 2018383 2018512 2018983 2019094 2019740 
##    2.88    2.63    2.84    2.89    2.57    2.47    2.95    2.98    2.98    2.86    2.91    2.72    2.02    2.70    2.96    2.59    2.67    2.92    2.48    2.76    2.70    2.99 
## 2019763 2020636 2022762 2022922 2023173 2023609 2023620 2023646 2023780 2024249 2024368 2025211 2025297 2025456 2025718 2025828 2026322 2027267 2027457 2027882 2028489 2028759 
##    2.94    2.68    2.22    2.75    2.64    2.73    2.70    2.82    2.80    2.75    2.70    2.89    2.95    2.60    2.63    2.92    2.95    2.87    2.97    2.52    2.45    2.58 
## 2028846 2028898 2029973 2029976 2030013 2030576 2030922 2030997 2031095 2031515 2033181 2033210 2033302 2033378 2033701 2033831 2033920 2034073 2034393 2034660 2035029 2035385 
##    2.60    2.56    2.89    2.77    2.25    2.51    2.64    2.88    2.74    2.88    1.99    2.58    2.97    2.76    2.36    2.81    2.94    2.18    2.75    2.77    2.75    2.57 
## 2035687 2036266 2036524 2036716 2037097 2037632 2037741 2037902 2038214 2038261 2038451 2038560 2038673 2039011 2039332 2040251 2040379 2040841 2041024 2042439 2042575 2042827 
##    2.25    2.44    2.61    2.67    2.86    2.54    2.63    2.95    2.47    2.38    2.72    2.80    2.41    2.90    2.98    1.64    2.60    2.95    2.58    2.93    2.80    2.65 
## 2042867 2042935 2043914 2044666 2044839 2045125 2045207 2045208 2045360 2045386 2045509 2045890 2046005 2046235 2046475 2046626 2047083 2047198 2047391 2047494 2048126 2048312 
##    2.90    2.64    2.99    2.99    2.83    2.88    2.54    2.41    2.03    2.90    2.84    2.81    2.65    2.49    2.27    1.95    2.52    2.87    2.44    2.97    2.87    2.85 
## 2048850 2048913 2050465 2050817 2051029 2051058 2051122 2051222 2051703 2051715 2051847 2051931 2051941 2051971 2052032 2052049 2052289 2052461 2053000 2053238 2053707 2053888 
##    2.63    2.93    2.57    2.49    2.80    2.64    2.83    2.75    2.34    2.49    2.55    2.70    3.00    2.99    2.89    2.46    2.56    2.84    2.80    2.67    2.82    1.84 
## 2053909 2053921 2054540 2055674 2056560 2056576 2056856 2056884 2057091 2057279 2058589 2058739 2059388 2059551 2059821 2060189 2060266 2060924 2061374 2062416 2062992 2063472 
##    2.73    2.95    2.82    2.74    2.75    2.19    2.91    2.80    2.84    2.47    2.76    2.70    2.85    2.75    2.78    2.89    2.73    2.87    2.30    2.52    2.92    2.58 
## 2063538 2063682 2063961 2064047 2064412 2064577 2064879 2065230 2065736 2065863 2066002 2066229 2066436 2066545 2066581 2066613 2069273 2069447 2069496 2070638 2071286 2071318 
##    2.83    2.93    2.88    2.41    2.74    2.78    2.82    2.69    2.48    2.02    2.74    2.65    2.97    2.49    2.89    2.72    2.25    2.32    2.96    2.85    2.95    2.82 
## 2071325 2071490 2071591 2071635 2071695 2071839 2072688 2073723 2073731 2074002 2074165 2074520 2074532 2074581 2074600 2074799 2074835 2075316 2075645 2075879 2076128 2076194 
##    2.90    2.95    2.82    2.71    2.89    2.79    2.66    2.53    2.85    2.87    2.46    2.80    2.94    2.79    2.30    2.99    2.18    2.95    1.39    2.64    2.87    2.30 
## 2076851 2076855 2077034 2077219 2077428 2077763 2077826 2078307 2078712 2078760 2078857 2079262 2079468 2079599 2079750 2080015 2080272 2081223 2081233 2081577 2081780 2081906 
##    2.96    2.69    2.29    2.22    2.95    2.27    2.93    2.96    2.22    2.54    2.76    2.60    2.36    2.84    2.98    2.79    2.63    2.99    3.00    2.86    2.92    2.58 
## 2081911 2082411 2082547 2082999 2083342 2083558 2083767 2084175 2085010 2085150 2085998 2087315 2087404 2087657 2088092 2088096 2088146 2088245 2089002 2089235 2089264 2089482 
##    2.88    2.99    2.44    2.28    2.77    2.74    2.79    2.98    2.87    2.34    2.64    2.67    2.98    2.28    1.83    2.65    2.57    2.97    2.97    2.99    2.88    2.81 
## 2089648 2089732 2090642 2090804 2090989 2091225 2091349 2091617 2091720 2091870 2092036 2092367 2092760 2093133 2093150 2093234 2094116 2094361 2094460 2094577 2094680 2095057 
##    2.89    2.90    2.78    2.79    2.70    2.77    2.74    2.94    1.59    2.50    2.52    2.28    2.48    2.75    2.85    2.53    2.43    2.64    2.46    2.58    2.96    2.33 
## 2095432 2095856 2095861 2096139 2096229 2096376 2097208 2097358 2098521 2098908 2098973 2099057 2099422 2099604 2100046 2100752 2100839 2100956 2101143 2101174 2101501 2101984 
##    2.89    2.87    2.97    2.40    2.90    2.90    2.96    2.80    2.76    2.89    2.87    2.83    2.94    2.75    2.32    2.72    2.72    2.98    1.63    2.79    2.95    2.89 
## 2102549 2102692 2102884 2103031 2103325 2103383 2103446 2103934 2104126 2104155 2104241 2104734 2105313 2105426 2105476 2105689 2105755 2106094 2106258 2106592 2106619 2106962 
##    2.97    2.44    1.97    2.78    2.37    2.96    2.72    1.94    2.69    2.89    2.40    2.84    2.92    2.99    2.72    2.96    2.70    2.22    2.63    2.88    2.77    2.92 
## 2107252 2107336 2107467 2107884 2108186 2108394 2108687 2109203 2109855 2110717 2110827 2110933 2111426 2111721 2111823 2112801 2113240 2113518 2113895 2113982 2114228 2114433 
##    2.70    2.67    2.97    3.00    2.96    2.55    2.85    2.76    2.77    2.32    2.91    2.79    2.64    2.83    2.87    2.68    2.70    2.13    2.54    2.67    2.87    2.90 
## 2114923 2114929 2114944 2114980 2115049 2115408 2115547 2116042 2116330 2116433 2116603 2116652 2116881 2117534 2118548 2118633 2118870 2118958 2119416 2120328 2120749 2120955 
##    2.39    2.76    2.92    2.82    2.99    2.68    2.28    2.92    2.34    2.51    2.90    1.89    2.96    2.59    2.91    2.30    2.91    2.58    2.61    2.21    2.96    2.80 
## 2121792 2121867 2122015 2122075 2122140 2122477 2122600 2123313 2124133 2124143 2124374 2124439 2124496 2125149 2125568 2125779 2125838 2125858 2125937 2126193 2126268 2126420 
##    2.84    2.03    2.80    2.64    2.74    2.46    2.94    2.16    2.47    3.00    2.81    2.88    2.67    2.48    2.95    2.81    2.97    2.43    2.69    2.91    2.83    2.37 
## 2126683 2127117 2127343 2127557 2127634 2127742 2128292 2128427 2128659 2129184 2129397 2129484 2129959 2130114 2130135 2130154 2130892 2131101 2131347 2131620 2131949 2132084 
##    2.82    3.00    2.70    2.29    3.00    2.32    2.60    2.86    2.53    2.95    2.77    2.73    2.65    2.77    2.70    2.81    2.26    2.80    2.61    2.45    2.60    2.95 
## 2132192 2132571 2132632 2132803 2132909 2133181 2133405 2133441 2133505 2133596 2133649 2133827 2133976 2134310 2134384 2134436 2135033 2135702 2135747 2135991 2137403 2137470 
##    2.86    2.96    2.30    2.90    2.83    2.59    2.92    2.88    2.63    3.00    2.67    1.76    2.35    2.82    2.88    2.98    2.50    2.81    2.90    2.33    2.34    2.10 
## 2137479 2138024 2138054 2138299 2138642 2138924 2138973 2139202 2139527 2139875 2141183 2141646 2142453 2142507 2142576 2142859 2143177 2143401 2143602 2143652 2143906 2144256 
##    2.85    1.93    2.50    2.75    2.98    2.74    2.78    2.89    2.79    2.80    2.68    2.66    2.83    2.96    2.80    2.76    1.88    2.76    2.88    2.18    2.93    2.85 
## 2144566 2144793 2145002 2145278 2145523 2145929 2146229 2146305 2146583 2146787 2146968 2146985 2147340 2147481 2147657 2148169 2148314 2148452 2148534 2148785 2148798 2148887 
##    2.68    2.78    2.77    2.98    2.53    2.62    2.87    2.83    2.41    2.65    2.13    2.87    2.86    2.63    2.51    2.10    2.61    2.60    2.93    2.92    2.78    2.46 
## 2148975 2149120 2149124 2149217 2149327 2150151 2150259 2150456 2150625 2150839 2150842 2150942 2150943 2151048 2151469 2151595 2152146 2152264 2152649 2152740 2153121 2153215 
##    2.99    2.49    2.53    2.77    2.05    2.90    2.74    2.46    2.88    2.96    2.94    2.88    2.98    2.82    2.87    2.48    2.95    2.61    2.82    2.87    2.86    2.82 
## 2153275 2153684 2154085 2154086 2154368 2154778 2154997 2155614 2155730 2155739 2156219 2157143 2157696 2157770 2157796 2157831 2157860 2157924 2159012 2159395 2159640 2159773 
##    2.85    2.72    2.82    2.66    2.38    2.14    2.43    2.35    2.47    2.63    2.60    2.56    2.72    2.94    2.23    2.95    2.59    2.49    1.70    1.66    2.94    2.94 
## 2160126 2160169 2161073 2161446 2161593 2161907 2163092 2163153 2163327 2163352 2163673 2163985 2164263 2165335 2165598 2166263 2166458 2166461 2167214 2167848 2167872 2167941 
##    2.85    2.50    1.92    2.51    2.63    1.85    2.68    2.94    2.85    2.44    2.89    2.95    2.91    2.91    2.82    2.96    2.94    2.96    2.59    2.86    2.80    2.37 
## 2168463 2168671 2168774 2168818 2168943 2169118 2169262 2169532 2169948 2170174 2170209 2170328 2170952 2171145 2171581 2171692 2172181 2172363 2172625 2172904 2172907 2173039 
##    2.63    2.98    2.89    2.96    2.77    2.28    2.71    2.99    2.18    2.84    2.69    2.51    2.46    2.86    2.93    2.74    2.26    2.98    2.82    2.67    2.92    1.91 
## 2173503 2173712 2174632 2174651 2174926 2175247 2175530 2175962 2176198 2176306 2176385 2176711 2176729 2176993 2177131 2177152 2177484 2177571 2178050 2178451 2178459 2178979 
##    2.77    2.96    2.97    2.44    2.43    2.91    2.69    2.98    2.80    2.87    2.95    2.05    2.54    2.76    2.99    2.96    2.71    2.88    2.40    2.92    2.53    2.93 
## 2179136 2179774 2179829 2180159 2180212 2180462 2181100 2181182 2182419 2182950 2182994 2183157 2183735 2183906 2183928 2184449 2185398 2185497 2185509 2185906 2187100 2187131 
##    2.63    2.91    2.55    2.18    2.61    2.54    1.94    2.62    1.49    2.80    2.92    2.56    2.83    2.59    2.93    2.81    2.75    2.96    2.96    2.98    2.79    2.88 
## 2187265 2187293 2187598 2187830 2188273 2188730 2189103 2189244 2189265 2190020 2190730 2191240 2191464 2192389 2193078 2193259 2193399 2193410 2193484 2193828 2194234 2194537 
##    2.78    2.75    2.91    2.56    1.85    2.91    2.78    2.83    2.39    2.69    2.66    2.95    2.86    2.92    2.98    2.83    2.26    2.47    2.92    2.64    2.60    2.96 
## 2194671 2195158 2195561 2195820 2196012 2196477 2196546 2196898 2197332 2197672 2197793 2197957 2197989 2198070 2198188 2198210 2198213 2198388 2198505 2198948 2199309 2199376 
##    2.88    2.63    2.36    2.82    2.96    2.91    2.67    2.85    2.75    2.99    2.62    2.76    2.92    2.90    2.39    2.40    2.89    1.97    2.81    2.93    2.94    2.49 
## 2199555 2199664 2199777 2199938 2200344 2201373 2201762 2202686 2202768 2202879 2202968 2203267 2203943 2204299 2205029 2205336 2205548 2206666 2206683 2206703 2207027 2207147 
##    2.73    2.58    2.91    1.45    2.57    2.76    2.95    2.68    2.87    2.97    2.61    2.96    2.91    2.89    2.79    2.87    2.56    2.89    2.76    2.87    2.83    2.56 
## 2207268 2207424 2207451 2207608 2207785 2207806 2207887 2208033 2208553 2209408 2209637 2209683 2209704 2210505 2210992 2211321 2211424 2211536 2211553 2211908 2211967 2212284 
##    2.80    2.88    2.86    2.43    2.45    2.53    2.79    2.79    2.80    2.27    2.87    1.93    2.66    2.83    2.89    2.92    2.77    2.32    2.90    2.11    2.64    2.88 
## 2212305 2212331 2212485 2212761 2212847 2212912 2214024 2214336 2214483 2214750 2214899 2215084 2215430 2215844 2215883 2216029 2216572 2216612 2217178 2217391 2217505 2217809 
##    2.92    2.19    2.50    2.24    2.87    2.69    2.77    2.01    2.84    2.67    2.79    2.62    2.36    2.95    2.67    2.65    2.06    2.46    2.66    2.92    2.55    2.62 
## 2218196 2218472 2218593 2218660 2218728 2218789 2219006 2219213 2219903 2219910 2220899 2221274 2222768 2223999 2224336 2224940 2225226 2225463 2225571 2225620 2226366 2226754 
##    2.43    2.06    2.94    2.99    2.69    2.60    2.77    2.88    2.86    3.00    2.84    2.89    2.41    1.61    2.89    2.70    2.74    2.82    2.56    2.88    2.86    2.48 
## 2226876 2227453 2227494 2227748 2227774 2228099 2228173 2228342 2228356 2228444 2228613 2228662 2228666 2228880 2229019 2229200 2229384 2229557 2229612 2230302 2230580 2230604 
##    2.61    2.81    2.55    2.94    2.61    2.16    2.04    2.65    2.81    2.99    2.19    2.85    2.39    2.43    2.75    2.21    2.96    2.92    2.45    2.71    2.70    2.21 
## 2231888 2231928 2231929 2232029 2232311 2232364 2232608 2233189 2233553 2233584 2233870 2234288 2235616 2236521 2236772 2236975 2237106 2237353 2237454 2237719 2238232 2238340 
##    2.78    2.90    2.82    2.82    2.82    2.97    2.23    2.77    2.51    2.73    2.87    2.84    2.91    2.61    2.97    2.61    2.68    1.87    1.90    2.33    2.05    2.64 
## 2238345 2238383 2238540 2239012 2239126 2239297 2239308 2239583 2239924 2240138 2240208 2240251 2240861 2240964 2240967 2241535 2241946 2241980 2242153 2242516 2242870 2243497 
##    2.99    2.67    3.00    2.74    2.70    2.43    2.81    2.84    2.95    2.37    2.78    2.76    2.82    2.76    2.52    2.90    2.70    2.62    2.97    2.56    2.72    2.86 
## 2243598 2243663 2244175 2244893 2245060 2245370 2245661 2246120 2246238 2246561 2246741 2246820 2247151 2247550 2247563 2248482 2248727 2248923 2249272 2249371 2249606 2249749 
##    2.84    2.92    2.06    2.96    2.09    2.81    2.91    2.51    2.12    2.61    2.76    2.42    2.72    2.58    2.73    2.66    2.56    2.29    2.63    2.77    2.53    2.57 
## 2249915 2249964 2250116 2250218 2250368 2251103 2251344 2251514 2251815 2252282 2252770 2252831 2252914 2253042 2253083 2253136 2253474 2253595 2254388 2254725 2255048 2255050 
##    3.00    2.98    2.92    2.72    2.98    2.99    2.49    2.89    2.40    2.59    2.81    2.71    2.23    2.76    2.68    2.77    2.03    2.45    2.36    2.88    2.57    2.45 
## 2255076 2255133 2255294 2256010 2256438 2256511 2257607 2258117 2258281 2258299 2258358 2258533 2258928 2259035 2259067 2259253 2259367 2259848 2259921 2260244 2260275 2260288 
##    2.62    2.27    2.97    2.91    2.40    2.60    2.95    2.03    2.23    2.76    2.25    2.62    2.63    2.89    2.81    2.40    2.65    2.87    2.90    2.45    2.94    2.90 
## 2260430 2260518 2260612 2260840 2260983 2261651 2261901 2261951 2261961 2262390 2263452 2263932 2264635 2265046 2266458 2266740 2267015 2267916 2268001 2268220 2268623 2268715 
##    2.03    1.87    2.82    2.62    2.97    2.71    2.66    2.56    2.88    2.63    2.43    2.94    2.94    2.87    2.88    2.62    2.88    2.97    2.51    2.72    2.58    1.52 
## 2268732 2268840 2269046 2269561 2269785 2270188 2270189 2270282 2270371 2270391 2270474 2270497 2270669 2271437 2271603 2271730 2272482 2272535 2272847 2272885 2272971 2273418 
##    2.93    1.75    2.03    2.98    2.47    2.68    2.80    2.59    2.84    2.95    1.87    2.68    2.91    2.60    2.94    2.87    2.80    2.45    2.86    2.46    2.95    2.37 
## 2273545 2274361 2274436 2275018 2277022 2277027 2277360 2278182 2278763 2279084 2279186 2279334 2279768 2279791 2280578 2281279 2281582 2281665 2282018 2282785 2282938 2283528 
##    2.29    2.96    2.94    2.53    2.80    2.84    2.41    2.53    2.67    2.59    2.84    2.61    2.62    2.43    2.70    2.42    2.80    2.72    2.58    2.71    1.85    2.39 
## 2283636 2283896 2284806 2284866 2284907 2285066 2285231 2285292 2285327 2285906 2286101 2286293 2286701 2286782 2287188 2287288 2287336 2287390 2287597 2287737 2287961 2288022 
##    2.80    2.64    2.95    2.99    2.60    2.91    2.96    2.51    2.42    2.60    2.72    2.94    2.44    2.60    2.99    2.63    2.74    2.88    2.32    2.49    1.65    2.35 
## 2288697 2289427 2289604 2289617 2289656 2289726 2289977 2290194 2290994 2291504 2291630 2292510 2292738 2292967 2293393 2293502 2293582 2293935 2294545 2295526 2296423 2297011 
##    2.53    2.75    2.24    2.95    2.98    2.97    2.88    2.33    2.11    2.73    2.85    2.98    2.20    3.00    2.51    3.00    2.75    2.85    2.37    2.71    2.60    2.77 
## 2297012 2297019 2297362 2297616 2299685 2299809 2300013 2300657 2300792 2300820 2300954 2302131 2302194 2302222 2302671 2303032 2303684 2304183 2304190 2304246 2304620 2304824 
##    2.19    2.99    2.81    2.12    2.87    2.95    2.86    2.76    2.99    2.71    2.69    2.61    2.99    2.27    2.73    2.58    2.23    2.68    2.42    2.92    2.91    2.84 
## 2305191 2305993 2306360 2306924 2307180 2307446 2309125 2309808 2310307 2310534 2310800 2310805 2310947 2311072 2311282 2311978 2312258 2312383 2313305 2313432 2313508 2313811 
##    2.71    2.61    2.75    2.96    2.83    2.95    2.32    2.88    2.94    2.99    2.21    2.36    2.83    2.64    2.77    2.75    2.54    2.67    2.43    1.85    2.94    2.59 
## 2314323 2315379 2315907 2315931 2316411 2317224 2317387 2317525 2318578 2318580 2318662 2318892 2319130 2319155 2319413 2319904 2320013 2321022 2321064 2321136 2321522 2322256 
##    2.95    2.10    2.98    2.56    2.91    2.12    2.88    2.86    2.79    2.70    2.80    2.46    3.00    2.19    2.93    2.89    2.59    2.83    2.72    2.71    2.77    2.90 
## 2322409 2322557 2322892 2323352 2323866 2324278 2324510 2324687 2324758 2325372 2325445 2325468 2325604 2325724 2325755 2326264 2327154 2327180 2327377 2327479 2327792 2327834 
##    2.90    2.75    2.89    2.81    2.88    2.69    2.02    2.55    2.84    2.97    2.47    2.99    2.56    2.77    2.57    2.94    2.10    2.58    2.73    2.48    2.47    2.95 
## 2328321 2328399 2328412 2328948 2329119 2330085 2330360 2330594 2330603 2330672 2330838 2331169 2331279 2331587 2331843 2331915 2332078 2332314 2332345 2332360 2332434 2332563 
##    2.91    2.66    2.77    2.99    2.93    2.16    2.94    2.82    2.24    2.44    2.82    2.76    2.96    2.84    2.83    2.65    1.32    2.97    2.39    2.95    2.27    2.98 
## 2332595 2332762 2333129 2334496 2334748 2334847 2335455 2335464 2335903 2336013 2336079 2336926 2336992 2337402 2337750 2337751 2337940 2338140 2338778 2338822 2339703 2340204 
##    2.87    2.62    2.88    2.75    2.26    1.96    2.68    2.53    2.62    2.57    2.89    2.35    2.63    2.57    2.45    2.83    2.89    2.71    2.24    2.93    2.89    2.64 
## 2340245 2340681 2341119 2341418 2341783 2342725 2342727 2342979 2343046 2343524 2344805 2344949 2345157 2346546 2346555 2346888 2347089 2347360 2347766 2348271 2348496 2348629 
##    2.90    3.00    2.83    2.02    2.99    2.99    2.96    2.78    2.63    2.87    2.48    2.98    2.77    2.75    2.64    2.97    2.69    2.09    2.85    2.52    2.24    2.99 
## 2348781 2348869 2349153 2349960 2350050 2350065 2350277 2350896 2350972 2351100 2351120 2351256 2351286 2351422 2351935 2352071 2352135 2352661 2352994 2353147 2353421 2353445 
##    2.78    2.81    2.72    2.98    2.83    2.81    2.30    2.85    2.98    2.64    2.89    2.33    2.93    2.81    2.97    3.00    2.66    2.64    2.92    2.54    2.81    2.42 
## 2353837 2354085 2354352 2355595 2355797 2356083 2356130 2356424 2356654 2357281 2357291 2357427 2357872 2358141 2358840 2359362 2359654 2359935 2359960 2360130 2360517 2361081 
##    2.67    2.74    3.00    2.77    2.86    2.98    2.76    2.96    1.86    2.73    2.95    2.92    2.61    2.55    1.62    2.88    2.84    2.28    2.84    2.95    2.66    2.88 
## 2361133 2361240 2361318 2361542 2361572 2361608 2361811 2362260 2362309 2362914 2363006 2363007 2363128 2363286 2363633 2364206 2364366 2365709 2365860 2365992 2366224 2366505 
##    2.84    2.13    2.43    2.33    2.48    2.90    2.67    2.81    2.67    2.99    2.76    2.78    2.92    2.82    2.41    1.98    2.62    2.91    2.78    2.60    2.88    2.66 
## 2366564 2366648 2366656 2367343 2367402 2367648 2367769 2368006 2368311 2368534 2368831 2369794 2369860 2369889 2369931 2370585 2370641 2370773 2370927 2370974 2371200 2371689 
##    2.25    2.48    2.58    2.24    2.94    2.56    2.77    2.75    2.76    2.45    2.50    2.52    2.81    2.94    2.96    2.74    2.97    2.59    2.97    2.89    2.53    2.92 
## 2372081 2372406 2373157 2373180 2373291 2373344 2373658 2373821 2374150 2374369 2374793 2374917 2375763 2375794 2375975 2376632 2377161 2377558 2377734 2378561 2378803 2379065 
##    2.79    2.95    3.00    2.76    2.84    2.30    2.61    2.91    2.95    2.35    2.55    2.42    2.96    2.22    2.81    2.13    2.82    2.53    2.36    2.91    2.89    2.89 
## 2379114 2379327 2379777 2379876 2380454 2380857 2380996 2381038 2381414 2381729 2381793 2381840 2382061 2382236 2383288 2383381 2384147 2384181 2384562 2384681 2384730 2384979 
##    2.77    2.61    2.61    2.83    2.35    2.85    2.80    2.83    3.00    2.96    2.27    2.72    2.89    2.95    2.93    2.97    2.85    2.47    2.93    2.90    2.81    2.04 
## 2385285 2386003 2386727 2387652 2387704 2387938 2388008 2388844 2388894 2389158 2389590 2389792 2389901 2390106 2390418 2390432 2390582 2390648 2391792 2391999 2392425 2392460 
##    2.67    2.77    2.02    2.95    2.41    2.81    2.83    2.84    2.89    2.79    2.89    2.61    2.93    2.79    2.73    2.85    2.99    2.95    2.80    2.77    2.96    2.76 
## 2393125 2394231 2394297 2394515 2394576 2394587 2394710 2395467 2395494 2396120 2396555 2396984 2397488 2398141 2398560 2399267 2399564 2399668 2401391 2401891 2402464 2402572 
##    2.74    2.66    2.59    2.60    2.40    2.92    3.00    2.28    2.90    2.31    2.50    2.89    2.62    2.12    1.81    2.70    2.94    2.85    3.00    2.71    2.53    2.87 
## 2403181 2404065 2404461 2404531 2404710 2405577 2405676 2405749 2405885 2405903 2406530 2406805 2407405 2407968 2408291 2408295 2408457 2408477 2409649 2409772 2409975 2410012 
##    2.98    2.99    2.61    2.59    2.84    2.82    2.34    2.73    2.39    2.93    2.74    2.62    2.69    2.75    2.32    2.82    2.89    2.70    1.71    2.57    2.78    2.51 
## 2410369 2410573 2410960 2411010 2411031 2411039 2411659 2411708 2412003 2412250 2412359 2412524 2412698 2412851 2413055 2413360 2413930 2413975 2414376 2414801 2414844 2414867 
##    2.86    2.44    2.81    2.56    2.49    1.50    2.96    2.81    2.97    2.81    2.56    2.84    2.42    2.71    2.56    2.74    2.67    2.52    2.65    2.88    2.77    2.42 
## 2414939 2415064 2415191 2415420 2416728 2416803 2416966 2417018 2417131 2417412 2417528 2417564 2418165 2418253 2418257 2419546 2420121 2420261 2420429 2420728 2420838 2421474 
##    2.89    2.92    2.32    2.42    2.98    2.88    2.80    2.64    2.84    2.94    2.99    2.09    2.87    1.75    2.40    2.99    2.61    2.45    2.73    2.33    2.27    2.89 
## 2421817 2421922 2422282 2422310 2422514 2422838 2423321 2423631 2424469 2424631 2425312 2425858 2426053 2426467 2426600 2426849 2427399 2427425 2427671 2427711 2427914 2428507 
##    2.30    2.60    2.39    2.95    2.60    2.51    2.64    2.87    2.83    2.93    2.60    2.64    2.60    2.94    2.33    2.99    2.99    2.37    2.96    2.96    2.56    2.89 
## 2428665 2428797 2428848 2429436 2429674 2430173 2430720 2431108 2431118 2431378 2431431 2431688 2431810 2431869 2431891 2432102 2432785 2432891 2433210 2433273 2433665 2434100 
##    2.91    2.60    3.00    2.34    2.02    2.92    2.60    2.98    2.88    2.57    2.68    2.99    2.46    1.67    2.90    2.95    2.82    2.76    2.97    2.96    2.96    2.98 
## 2434235 2434486 2434569 2435314 2435378 2436043 2436090 2436242 2436467 2436562 2436621 2437168 2437169 2437255 2437371 2438144 2438437 2438445 2438501 2438548 2438648 2438650 
##    2.99    2.82    2.91    2.81    2.85    2.80    2.47    2.94    2.94    2.68    2.97    2.95    2.52    2.79    2.95    2.72    2.43    2.79    2.78    2.82    2.72    2.87 
## 2439493 2439780 2440241 2440632 2440722 2441129 2441263 2441392 2441516 2441682 2441945 2441981 2442343 2442377 2442697 2443443 2443513 2443830 2443974 2444333 2444641 2445094 
##    2.83    2.74    2.72    2.32    2.67    2.60    2.58    2.89    2.79    2.80    2.89    2.94    2.28    2.96    2.17    2.60    2.98    2.71    2.94    2.08    2.51    2.94 
## 2445295 2445865 2445914 2446019 2446479 2446658 2447928 2448185 2448308 2448353 2448451 2448623 2448891 2449359 2449382 2449397 2449795 2450263 2450296 2451049 2451161 2451394 
##    2.52    2.47    2.94    2.19    2.92    2.74    2.83    2.86    2.91    2.97    2.71    1.80    2.95    2.59    2.75    2.28    1.80    2.74    2.72    2.82    2.83    2.66 
## 2451401 2452163 2452892 2452970 2453621 2454451 2454717 2455203 2455249 2455267 2456112 2456166 2456691 2457113 2457285 2457525 2457568 2457933 2458471 2458913 2459107 2459295 
##    1.65    2.74    2.86    2.98    2.41    2.59    2.90    2.39    2.86    2.68    2.18    2.69    2.64    2.58    2.88    2.89    2.84    2.74    2.42    2.60    1.78    2.63 
## 2459381 2459664 2459880 2460135 2460325 2461517 2462485 2462513 2462588 2462666 2462996 2463381 2463464 2463953 2464232 2464438 2464451 2464718 2465243 2466124 2466217 2466358 
##    2.19    2.96    2.97    2.50    2.12    2.96    2.71    2.38    2.68    2.27    2.86    2.65    2.54    2.89    2.89    2.60    2.48    3.00    2.10    2.90    2.12    2.36 
## 2466613 2466642 2467313 2467586 2468127 2468509 2469239 2469507 2469921 2469938 2470233 2470566 2470597 2471099 2472126 2472191 2472215 2472273 2472558 2472936 2473300 2473544 
##    2.93    2.01    2.83    2.37    2.98    2.82    2.84    2.85    2.73    2.50    2.42    2.57    2.94    2.77    2.90    2.53    2.36    2.52    2.95    2.60    2.86    2.59 
## 2473728 2474069 2474414 2474422 2474530 2474610 2474703 2475125 2475136 2475161 2475851 2476226 2476882 2476939 2478026 2479199 2479886 2480312 2480607 2480778 2481471 2481825 
##    2.73    2.04    2.94    2.97    2.79    2.45    2.97    2.49    2.49    2.65    2.47    2.35    2.96    2.43    2.47    2.57    2.99    2.51    2.83    2.97    2.91    2.88 
## 2482050 2482054 2482227 2482579 2482750 2483677 2483849 2484166 2484636 2484688 2484708 2484908 2485130 2485427 2485862 2485922 2486408 2486586 2486742 2486752 2486797 2487227 
##    2.59    2.90    2.85    2.51    2.71    2.76    1.97    2.86    2.60    2.58    2.79    2.53    2.85    2.64    2.71    2.88    2.88    2.90    2.91    2.88    2.99    2.72 
## 2487983 2488472 2489114 2489130 2489680 2490085 2490388 2490490 2490793 2490914 2491712 2491833 2491864 2492766 2492803 2492949 2493154 2493382 2493492 2493728 2494585 2494598 
##    2.74    2.46    2.60    2.71    2.90    2.79    2.73    2.51    2.84    2.23    2.70    2.88    2.85    2.96    2.31    2.91    2.86    2.57    2.84    2.90    2.98    2.89 
## 2494617 2494880 2494916 2495083 2495086 2496415 2496436 2496546 2496768 2496909 2497343 2497423 2497437 2497596 2497637 2498733 2499211 2499347 2500065 2500142 2500404 2500445 
##    2.98    2.93    2.68    2.74    2.61    3.00    2.97    2.88    2.99    2.22    2.44    2.64    2.05    2.78    2.71    2.65    2.84    2.89    2.19    2.35    2.94    2.12 
## 2500516 2501274 2501453 2501750 2502223 2502265 2502688 2502839 2502914 2503170 2503515 2503957 2504310 2505110 2505120 2505363 2505459 2505585 2505648 2505786 2505842 2505878 
##    2.82    2.96    2.71    2.92    2.92    1.82    2.64    2.97    2.77    2.86    2.82    2.85    2.95    2.55    2.55    2.84    2.88    2.76    2.63    2.39    2.25    2.94 
## 2505984 2506282 2506582 2506677 2506688 2506741 2507243 2508249 2508356 2508555 2508843 2509076 2509303 2509407 2509702 2509723 2510213 2510782 2510922 2511045 2511051 2511185 
##    2.87    2.72    2.26    2.50    2.20    2.85    2.94    2.88    2.91    2.99    2.90    2.71    2.89    2.96    2.69    2.68    2.93    2.44    2.83    2.60    2.46    2.60 
## 2511921 2511993 2512352 2512759 2512820 2512875 2512945 2513146 2513297 2513315 2513397 2513518 2513833 2514152 2514345 2514692 2514716 2515098 2515178 2515720 2515908 2515944 
##    2.92    2.88    2.85    2.69    2.59    2.64    2.95    2.73    2.31    2.06    1.95    2.89    2.73    2.17    2.65    2.51    2.44    2.69    2.99    2.77    2.85    2.84 
## 2516293 2516418 2516613 2516649 2516657 2517269 2517416 2517427 2517504 2518067 2518313 2518411 2519463 2519596 2520033 2520240 2521145 2521270 2521291 2521706 2521813 2521883 
##    2.29    2.72    2.86    2.69    2.71    2.85    2.47    3.00    2.03    2.58    2.90    2.37    1.82    2.89    2.87    2.78    2.85    2.97    2.90    2.98    2.90    2.15 
## 2522071 2523206 2523253 2523404 2523601 2523727 2523762 2524159 2524195 2524226 2524490 2524634 2524874 2525143 2525789 2525817 2526209 2526621 2526718 2526755 2526867 2527422 
##    2.88    2.16    2.77    2.64    2.74    2.50    2.82    2.91    2.39    2.98    2.73    2.88    2.99    2.99    2.83    2.81    2.95    2.85    2.75    2.54    2.47    2.87 
## 2527638 2527997 2528525 2528660 2528897 2529207 2529344 2529426 2529585 2530198 2530292 2530375 2530591 2530612 2530662 2531370 2531577 2531738 2531889 2532718 2533136 2533237 
##    2.74    2.64    2.42    2.87    1.54    2.92    2.51    2.99    2.76    2.78    2.43    2.98    2.66    2.45    2.96    2.42    2.86    2.84    2.73    2.89    2.83    2.86 
## 2534070 2534149 2534279 2534570 2535742 2536209 2536217 2536269 2536676 2536763 2537170 2537215 2537290 2537851 2538064 2538905 2538943 2539238 2540682 2540704 2541180 2541310 
##    2.66    2.85    2.76    2.66    2.98    2.99    2.06    2.92    2.66    2.89    2.81    2.82    2.62    2.79    2.45    2.77    2.44    2.95    2.94    2.02    2.76    2.89 
## 2541449 2541761 2542181 2542267 2542438 2543001 2543091 2543342 2543991 2544567 2545347 2545387 2545394 2545905 2546057 2546618 2547058 2547222 2547253 2547452 2547526 2547873 
##    2.97    2.76    2.96    2.57    2.78    2.75    2.48    2.43    2.98    2.80    2.94    2.82    1.94    2.98    2.78    2.80    2.25    2.41    2.17    2.80    2.97    2.94 
## 2548043 2548507 2548645 2549252 2549383 2549588 2550253 2551850 2551963 2552271 2553185 2554202 2554279 2554520 2554718 2554988 2555198 2555593 2555942 2556187 2556698 2556748 
##    2.39    2.85    2.49    2.70    2.98    2.52    2.60    2.69    2.91    2.74    2.57    2.68    2.96    2.84    2.36    2.90    2.60    2.56    2.65    2.82    2.44    2.85 
## 2557151 2557749 2558373 2558392 2558933 2558998 2559525 2560592 2560709 2561834 2561855 2563073 2563164 2563179 2563182 2563194 2563672 2563720 2564403 2564662 2564681 2565010 
##    2.87    2.73    2.49    2.87    2.77    2.63    2.96    2.99    2.92    2.71    2.96    3.00    2.86    2.81    2.70    2.95    2.97    2.92    2.94    2.48    2.75    2.27 
## 2565214 2565238 2566869 2566989 2567201 2567449 2568051 2568411 2569031 2569061 2569218 2569398 2569705 2569933 2570039 2570659 2571090 2571188 2571401 2571767 2571805 2571880 
##    2.82    2.85    2.16    2.97    2.78    2.50    2.65    2.81    2.80    2.78    2.91    2.87    2.83    2.88    2.84    2.29    2.67    2.64    2.51    2.85    2.85    2.96 
## 2572083 2572157 2572448 2572801 2572878 2573566 2574547 2574559 2574767 2575109 2575147 2575245 2575320 2575873 2575957 2576037 2576174 2576740 2576775 2577132 2577963 2577994 
##    2.53    2.77    2.73    2.78    2.86    2.91    2.07    2.46    2.15    2.83    2.98    2.97    2.54    2.31    2.82    2.13    2.61    2.88    2.97    2.34    2.77    2.60 
## 2578836 2578978 2579196 2579249 2579356 2579784 2580177 2580363 2580532 2580559 2580739 2580758 2580794 2581075 2581289 2581632 2581686 2581784 2582079 2583271 2584219 2584259 
##    2.83    2.80    2.76    2.79    2.31    3.00    2.78    2.67    2.46    2.92    2.78    2.50    2.88    2.42    2.85    2.47    2.77    2.55    2.87    2.53    2.66    2.97 
## 2584744 2585357 2585595 2585726 2586179 2586592 2587651 2587723 2587724 2587792 2588215 2588732 2589009 2589047 2589104 2589212 2590179 2590446 2590839 2591067 2591375 2591456 
##    2.89    2.64    2.41    2.20    2.50    2.95    2.89    2.66    2.37    2.80    2.97    2.35    2.85    2.80    2.90    2.62    3.00    2.65    2.51    2.35    2.99    2.86 
## 2591481 2592106 2592123 2592442 2592871 2593550 2594831 2595747 2595846 2596001 2596285 2596613 2596643 2596815 2596827 2596885 2597397 2597788 2597935 2598135 2598716 2598740 
##    2.94    2.78    2.93    2.97    2.74    2.70    2.74    2.44    2.82    2.90    2.58    2.84    2.89    2.81    2.81    2.79    2.66    2.92    2.99    2.39    2.58    2.21 
## 2598902 2599051 2599096 2599234 2601792 2602200 2602315 2602865 2602942 2603784 2603863 2604139 2604321 2604645 2605006 2605317 2605589 2606660 2606724 2606760 2607177 2608032 
##    2.51    1.81    2.87    2.58    2.84    2.93    2.54    2.67    2.94    2.98    2.59    2.64    2.62    2.95    2.93    2.38    2.31    2.71    2.74    2.96    2.43    2.83 
## 2608234 2608510 2609112 2609115 2609780 2609843 2609884 2610295 2610667 2611377 2611418 2611711 2611860 2612401 2612806 2613140 2613383 2613668 2614220 2614484 2614577 2614666 
##    2.73    2.52    2.31    2.94    2.08    2.77    2.45    2.85    2.22    2.84    2.88    2.55    2.80    2.99    2.53    2.40    2.42    2.88    2.62    1.98    2.76    2.84 
## 2614840 2615139 2615305 2615749 2616251 2616275 2616291 2616993 2617216 2618406 2618574 2618638 2618813 2618831 2619247 2619508 2619950 2619990 2621442 2621443 2621551 2621689 
##    2.75    2.91    2.86    2.65    2.35    2.70    2.67    2.75    2.47    2.82    2.69    2.83    2.97    2.95    2.93    2.84    2.84    2.41    1.63    2.62    2.67    2.80 
## 2621747 2621854 2622184 2622585 2622609 2622666 2622740 2622890 2622948 2623133 2623165 2625295 2625423 2625425 2625789 2626300 2626399 2626448 2626900 2626920 2627076 2627151 
##    2.77    2.92    2.86    2.37    2.90    2.55    2.58    2.96    2.88    2.53    2.81    2.76    2.38    2.54    2.98    2.02    2.73    2.43    2.96    2.52    2.59    2.59 
## 2627175 2627317 2627687 2628066 2628290 2628334 2628427 2628539 2629298 2629594 2629872 2629905 2630251 2630511 2630545 2630910 2630927 2630984 2631593 2631759 2632128 2632172 
##    2.51    2.75    2.92    2.98    2.70    2.81    2.94    2.59    2.75    2.24    2.79    2.54    2.98    2.93    2.78    2.48    2.95    2.70    2.86    2.69    2.79    2.81 
## 2632400 2632677 2632711 2633068 2633470 2634073 2634377 2634392 2634670 2635516 2635580 2635674 2635767 2636255 2636416 2636703 2636825 2636839 2636905 2637332 2637448 2638350 
##    2.83    2.38    1.92    2.93    2.94    2.73    2.72    2.83    2.02    2.81    2.98    2.89    2.79    2.85    2.19    2.55    1.60    2.98    2.77    2.90    2.63    2.91 
## 2638673 2638878 2639032 2639178 2639229 2639391 2639429 2639485 2639651 2639730 2639757 2639895 2640506 2640582 2640952 2641027 2641046 2641145 2641442 2642233 2642778 2642822 
##    2.67    2.74    3.00    1.97    2.62    2.82    2.93    2.43    2.93    2.48    2.73    2.85    2.74    2.90    1.74    2.56    2.80    2.87    2.51    2.95    2.89    2.39 
## 2643188 2643808 2643862 2643893 2645252 2645260 2645489 2645707 2646649 2646765 2646825 2646871 2647165 2647926 2648698 2648805 2649217 2649604 2649696 2649970 2650015 2650310 
##    2.90    2.65    2.87    2.47    2.43    2.40    2.81    2.33    2.92    2.92    2.84    2.88    2.53    2.96    2.23    2.95    2.92    2.94    2.46    2.77    2.88    2.58 
## 2651008 2651063 2651423 2651946 2652192 2652394 2652424 2652677 2652685 2653390 2653596 2653775 2654166 2655172 2655299 2655358 2655599 2655780 2655898 2656081 2656200 2656578 
##    2.86    2.54    2.83    2.81    2.95    2.41    2.95    2.51    2.85    2.89    2.91    2.89    2.51    2.61    2.70    2.57    2.61    2.83    2.70    2.77    2.94    2.86 
## 2656937 2656989 2657293 2658289 2658759 2659069 2659116 2659437 2659673 2659781 2660175 2660254 2660942 2661108 2661126 2661295 2661323 2661370 2661578 2661808 2661959 2662009 
##    2.65    2.87    2.60    2.72    2.86    3.00    2.07    2.90    2.53    2.33    2.72    2.88    2.35    2.33    2.95    2.84    2.77    2.77    2.32    2.80    2.96    2.49 
## 2662065 2662215 2663079 2663231 2663387 2663413 2664328 2664346 2664498 2664810 2664975 2665290 2665395 2665447 2665502 2665625 2665726 2666260 2666290 2666427 2666877 2667180 
##    3.00    2.74    2.92    2.67    2.74    2.57    2.61    2.73    2.78    2.22    2.81    2.61    2.83    2.76    2.53    2.59    2.98    2.48    2.49    2.91    2.56    2.67 
## 2667436 2668017 2668578 2669716 2669939 2671139 2671212 2671844 2672359 2672562 2672621 2673146 2673247 2673349 2673954 2674368 2674578 2674896 2675431 2675727 2675896 2677162 
##    2.61    2.70    2.96    2.96    2.57    2.67    2.88    2.80    3.00    2.75    2.31    2.56    2.94    2.12    2.82    2.60    2.93    2.81    2.77    2.83    2.72    2.70 
## 2677658 2677762 2678488 2678820 2679086 2679102 2679112 2679928 2680070 2680473 2680790 2680881 2681359 2682129 2682291 2682497 2682986 2683586 2683696 2683732 2683842 2683879 
##    2.59    2.71    2.66    2.74    2.96    2.69    2.98    2.82    2.25    2.99    2.96    2.56    2.89    1.92    2.68    2.57    2.43    2.77    2.74    2.69    2.38    2.97 
## 2684104 2685996 2686112 2686293 2686379 2686557 2686681 2687609 2687931 2688161 2688236 2688368 2688549 2689745 2689847 2690580 2690818 2690976 2691336 2691533 2691544 2691713 
##    2.93    2.96    2.88    2.97    2.76    2.81    2.97    2.90    2.94    2.74    2.93    2.67    2.18    2.61    2.47    2.98    2.78    2.92    2.74    2.83    2.81    2.97 
## 2692982 2693071 2694057 2694401 2694931 2694952 2695581 2695863 2696232 2696331 2696722 2696869 2697698 2697832 2698147 2698553 2698855 2699002 2699151 2699397 2700221 2700376 
##    2.57    2.86    2.69    2.47    2.57    2.56    2.45    2.92    2.36    2.99    2.62    2.37    2.27    2.67    3.00    2.85    2.31    2.65    2.72    2.64    2.96    2.93 
## 2700425 2700474 2701511 2701658 2701958 2701992 2702041 2702492 2703154 2703329 2703759 2704134 2704175 2704264 2704454 2704658 2704719 2704966 2705201 2705507 2705515 2706302 
##    2.97    2.87    2.97    2.74    2.73    2.44    2.77    2.63    2.91    2.60    1.91    2.87    2.98    2.69    2.92    2.99    2.89    2.87    2.30    2.96    2.97    2.98 
## 2707619 2708326 2708414 2708686 2709071 2709310 2709895 2710244 2710457 2710881 2711328 2711809 2712172 2712188 2712267 2712395 2712407 2712661 2712969 2713192 2713284 2713431 
##    2.98    2.56    2.97    2.91    3.00    2.69    2.63    2.72    2.99    2.77    2.92    2.99    2.93    2.82    2.41    2.57    2.91    2.20    2.48    2.98    2.83    2.74 
## 2713878 2713915 2713962 2714141 2714586 2714905 2714922 2715347 2715591 2716051 2716061 2717087 2717103 2717213 2719211 2720232 2720458 2720648 2720883 2721210 2721305 2721597 
##    2.85    2.42    2.70    2.71    2.30    2.62    2.54    2.95    2.72    2.62    2.92    2.92    2.99    2.12    2.42    2.93    2.65    1.66    2.85    2.67    2.99    2.70 
## 2722232 2722619 2722656 2722725 2723870 2724101 2724111 2724381 2724458 2724508 2725175 2725234 2725468 2725602 2726116 2726191 2726526 2726663 2727011 2727221 2727401 2727402 
##    2.20    2.77    2.59    2.70    2.54    2.92    2.99    2.85    2.52    2.98    2.85    2.05    2.70    2.78    2.56    2.36    2.95    2.83    2.96    2.81    2.98    2.83 
## 2727423 2727640 2727661 2727663 2727713 2727729 2727940 2728153 2728199 2728257 2728305 2728505 2728664 2729490 2729533 2729631 2729891 2729899 2729979 2730064 2730447 2730473 
##    2.86    2.87    2.86    2.92    2.98    2.94    2.92    2.22    2.89    2.66    2.88    2.59    2.85    2.08    2.70    2.97    2.69    2.43    2.62    2.67    2.94    2.72 
## 2730656 2730722 2730848 2730887 2730982 2731078 2732175 2732431 2732656 2732667 2732845 2732946 2733345 2734220 2734431 2734462 2734764 2734784 2735477 2735857 2735871 2736351 
##    2.97    2.94    2.43    2.99    2.77    2.90    2.38    1.97    2.64    2.79    2.76    2.97    2.71    1.70    2.95    2.82    1.98    2.77    2.84    2.81    2.87    2.79 
## 2737506 2737859 2738179 2738239 2738357 2738498 2738543 2738867 2739383 2739869 2740214 2740322 2741180 2741819 2741969 2741980 2742110 2742693 2742790 2743025 2743036 2743687 
##    3.00    2.48    2.57    2.83    2.83    2.33    2.49    2.83    2.56    2.54    2.77    2.60    1.63    2.83    2.69    2.32    2.76    2.34    2.71    2.77    2.85    2.13 
## 2743740 2744676 2744793 2745011 2745572 2745638 2745825 2745912 2746842 2747786 2747922 2748236 2748649 2748789 2749006 2749014 2749199 2749334 2749369 2749750 2749859 2750128 
##    2.85    2.64    2.57    2.77    2.74    2.77    2.98    2.95    2.48    2.78    2.95    2.98    2.17    2.78    2.75    2.68    2.74    2.09    2.46    2.90    2.80    2.53 
## 2750225 2750444 2750579 2751710 2751883 2752355 2752402 2752473 2752540 2752570 2753190 2753656 2753755 2754145 2754842 2755122 2755443 2755954 2756283 2757317 2757462 2757732 
##    2.66    2.49    2.63    2.98    2.70    2.43    2.68    2.95    2.97    2.89    2.90    2.57    1.86    2.63    2.37    2.84    2.81    2.94    2.83    2.85    2.43    2.96 
## 2758086 2758126 2758233 2758380 2758428 2758660 2758875 2759133 2759235 2759966 2760076 2760838 2761028 2761155 2761286 2762311 2763218 2763396 2763758 2763935 2764027 2764666 
##    2.87    2.39    2.42    2.64    2.84    2.27    2.93    2.98    2.75    2.51    2.92    2.35    2.85    2.73    2.96    2.88    2.64    2.34    2.75    2.79    2.65    2.80 
## 2764991 2766000 2766297 2766823 2767367 2767466 2768179 2768516 2769169 2769396 2769915 2770228 2770822 2770855 2770974 2771259 2771493 2771570 2771814 2771854 2772001 2772080 
##    2.97    2.49    2.34    2.52    2.99    2.59    2.81    2.93    2.85    2.72    2.99    2.91    2.22    2.84    2.86    2.70    2.25    2.69    2.41    2.75    2.98    2.49 
## 2772139 2772231 2772499 2773420 2773726 2774304 2774348 2774537 2775268 2775309 2775641 2775983 2776147 2776813 2776885 2776925 2777137 2777224 2777268 2777697 2778608 2779414 
##    2.34    2.16    2.68    2.66    2.88    2.55    2.03    2.91    2.71    2.67    2.16    2.97    2.05    2.73    2.42    2.86    2.36    2.95    2.80    2.64    2.60    2.66 
## 2780169 2780804 2781191 2781560 2781614 2782212 2782492 2782761 2783015 2783257 2783489 2783650 2784135 2784681 2784688 2784801 2785377 2785398 2785538 2785644 2785937 2786149 
##    2.83    2.33    2.99    2.90    2.72    2.69    2.67    2.92    2.96    2.73    2.77    2.35    2.69    2.07    2.73    2.76    2.99    2.86    2.96    2.67    2.91    2.98 
## 2787356 2787370 2787791 2787808 2787842 2788169 2788522 2788537 2788669 2788846 2788951 2789212 2789957 2790139 2790462 2790478 2790593 2791237 2791265 2791505 2791531 2791706 
##    2.46    2.56    2.91    2.97    2.97    2.53    2.89    2.70    2.76    2.98    2.80    2.24    2.75    2.96    2.26    2.23    2.83    2.93    2.52    2.57    2.07    2.98 
## 2791814 2792141 2792345 2792439 2792473 2792553 2793229 2793923 2794791 2794819 2795064 2795615 2795753 2796190 2796463 2796472 2796590 2796649 2796871 2797560 2797984 2798167 
##    2.81    2.80    2.94    2.47    2.89    2.20    1.72    2.74    2.99    2.26    2.58    2.58    2.48    2.95    2.82    2.24    2.39    2.96    2.85    2.68    1.95    2.04 
## 2798657 2798811 2798848 2799220 2799344 2799359 2799510 2799917 2800407 2800415 2801545 2801628 2801659 2801780 2801870 2801938 2802088 2802724 2802989 2803013 2803023 2803093 
##    2.98    2.92    2.21    2.98    2.09    2.67    2.83    2.68    2.62    2.77    2.95    2.96    2.24    2.62    2.65    2.72    2.68    2.74    2.88    2.78    2.95    2.93 
## 2803672 2803949 2804217 2804885 2805029 2805317 2805693 2805853 2806098 2806822 2807380 2807635 2807798 2807811 2808018 2808131 2808164 2808229 2808672 2809187 2809192 2809707 
##    2.96    2.78    2.81    2.80    2.77    2.26    2.90    2.80    2.49    2.82    2.99    2.84    2.72    2.42    2.69    2.60    2.94    2.41    2.90    2.49    2.21    2.88 
## 2809781 2809830 2809913 2810151 2810918 2811295 2811341 2811566 2811842 2812206 2812919 2813056 2813274 2813770 2813861 2813968 2814163 2814245 2814586 2815118 2815204 2815241 
##    2.79    2.76    2.44    2.55    2.88    2.60    2.86    2.75    2.61    2.94    2.86    2.81    2.93    2.58    2.63    2.79    2.84    2.91    2.91    2.87    1.72    2.79 
## 2815533 2815623 2815666 2815818 2815870 2816301 2816589 2816828 2817079 2817255 2817326 2817607 2818167 2818356 2818417 2818927 2819132 2819194 2819289 2819667 2819901 2820102 
##    2.62    1.46    2.44    2.76    1.47    2.28    2.95    2.84    2.72    2.96    3.00    2.99    2.41    2.64    2.76    2.94    2.75    2.41    2.94    2.48    2.97    2.89 
## 2820159 2820864 2820978 2821713 2822222 2822303 2823725 2824055 2824142 2825156 2825205 2825301 2826033 2826123 2826313 2826503 2826507 2826524 2826637 2826848 2827065 2827083 
##    2.87    2.82    2.60    2.78    2.94    2.99    2.75    2.51    2.93    2.79    2.52    2.76    3.00    2.82    2.88    2.87    2.37    2.65    2.80    2.99    2.69    2.82 
## 2827559 2827635 2827691 2827793 2827919 2827926 2828102 2828732 2829332 2829441 2829551 2829570 2829651 2830403 2830578 2830832 2830853 2830993 2831193 2831283 2831667 2831906 
##    2.65    2.50    2.97    2.92    2.38    2.77    2.75    2.72    2.55    2.43    2.67    2.75    2.68    1.96    2.70    2.68    2.69    2.80    2.92    2.69    2.95    2.64 
## 2832031 2832406 2832506 2832745 2833278 2833312 2833952 2834181 2834247 2834450 2835254 2835624 2835648 2835902 2836057 2836183 2836235 2836287 2836746 2837106 2837264 2837359 
##    2.11    2.99    2.87    2.79    2.62    2.31    2.78    2.59    2.45    2.98    2.99    2.96    2.32    2.92    2.86    2.60    2.75    2.96    2.33    2.87    2.54    2.58 
## 2837538 2837551 2839605 2840216 2840233 2840519 2841051 2841075 2841197 2841353 2841883 2842402 2842505 2842514 2843620 2843750 2844154 2844192 2844510 2844898 2845023 2845207 
##    2.76    2.43    2.78    2.19    2.74    2.67    3.00    2.74    2.31    2.92    2.68    2.99    2.70    1.61    2.96    2.98    2.48    2.41    2.97    2.08    2.74    2.76 
## 2845212 2845267 2845355 2845988 2846935 2846985 2847070 2847244 2847556 2848011 2848260 2848273 2848289 2848425 2848444 2848485 2848858 2849044 2849170 2849203 2849331 2849373 
##    2.85    2.80    2.89    2.71    2.70    2.75    2.74    2.93    2.79    2.90    2.78    2.75    2.74    2.85    2.41    2.93    2.46    2.79    2.67    2.79    2.65    2.47 
## 2849456 2849484 2849557 2850072 2850255 2850910 2851315 2851522 2851530 2851856 2851877 2852052 2852105 2852247 2852462 2852709 2852999 2853627 2853889 2854464 2854935 2855104 
##    2.80    2.86    2.92    2.72    2.68    2.93    2.26    2.65    2.84    2.61    2.69    2.07    2.98    2.26    2.80    2.78    2.92    2.70    2.96    3.00    2.95    2.10 
## 2855544 2855662 2856242 2856247 2856273 2856399 2857120 2857471 2857507 2857636 2857712 2858161 2858639 2858704 2859197 2859518 2859675 2860383 2860397 2860451 2861043 2861223 
##    2.93    2.61    2.92    2.75    2.94    2.91    2.91    2.35    2.38    2.57    2.88    2.47    2.58    2.76    2.56    2.69    2.92    2.94    2.97    1.78    2.73    2.80 
## 2861681 2862117 2862239 2862297 2862528 2862620 2863349 2863536 2863789 2863967 2864041 2864214 2864488 2864499 2864510 2864729 2864808 2865033 2865068 2865074 2865086 2865202 
##    2.98    2.62    2.99    2.68    1.85    2.43    2.63    2.86    1.94    2.89    2.87    1.48    2.71    2.89    2.34    2.93    2.92    2.56    2.62    2.95    2.84    2.19 
## 2865293 2865601 2865641 2866783 2866877 2867619 2867633 2868261 2869084 2869142 2869299 2869620 2870456 2870660 2870886 2871324 2871349 2871581 2872351 2872552 2872818 2872867 
##    2.77    2.51    2.09    2.90    2.67    2.65    2.93    2.09    2.89    1.78    2.96    2.22    2.98    2.99    2.78    2.68    2.65    2.82    2.73    2.65    2.78    2.98 
## 2873656 2873874 2874074 2874359 2874472 2874522 2875098 2875333 2875729 2875763 2876118 2876147 2876524 2876534 2876800 2877363 2877467 2877765 2878470 2878514 2879037 2879157 
##    2.98    2.66    2.85    2.61    2.81    2.72    2.93    2.95    2.51    2.70    2.16    3.00    2.77    2.93    2.88    2.47    2.44    2.56    2.22    2.94    2.45    2.81 
## 2879168 2879421 2879521 2879821 2879976 2880308 2880895 2881051 2881223 2881316 2881406 2881627 2881954 2882102 2882105 2882884 2882947 2885068 2885354 2885449 2885613 2885801 
##    2.95    2.56    2.69    2.66    2.49    2.59    2.92    2.83    2.68    2.08    2.77    2.92    2.83    2.77    2.68    2.90    2.52    2.60    2.71    2.53    2.93    2.73 
## 2886228 2886356 2886416 2886931 2886999 2887046 2887083 2887457 2887637 2888248 2888268 2888387 2888650 2889094 2889354 2890991 2891455 2891670 2891979 2892080 2892185 2892406 
##    2.57    2.93    2.58    2.41    2.90    2.87    2.74    2.75    2.91    2.79    2.65    2.86    2.77    2.43    2.88    2.39    2.96    2.81    3.00    2.63    2.44    2.84 
## 2892449 2892608 2892655 2893158 2893345 2893778 2893997 2894134 2894237 2894353 2894488 2894571 2894806 2895044 2895126 2895204 2895660 2895785 2895878 2896161 2896305 2897072 
##    2.20    2.86    2.38    2.98    2.94    2.40    2.58    2.61    2.44    2.82    2.97    2.94    2.82    2.49    2.94    2.32    2.96    2.11    2.44    2.44    2.96    2.62 
## 2897137 2898020 2898621 2898734 2899584 2900696 2901499 2901769 2901830 2902727 2902774 2902778 2903248 2903337 2903968 2904089 2904133 2904319 2905133 2905468 2905487 2905780 
##    2.84    2.98    2.79    2.88    2.99    2.92    2.99    2.23    2.94    2.63    2.12    2.93    2.79    2.36    2.93    2.91    3.00    2.85    2.95    2.92    2.73    2.96 
## 2906044 2906412 2906632 2906922 2906965 2907067 2907738 2907965 2907995 2908031 2908119 2908775 2908927 2909102 2909460 2909514 2910464 2910766 2910925 2911538 2911753 2912276 
##    2.77    2.42    2.98    2.66    2.29    2.96    2.68    2.13    2.80    2.55    2.86    2.75    2.18    1.98    2.83    2.43    2.73    2.89    2.53    2.72    2.95    2.63 
## 2912339 2912442 2912615 2912845 2913292 2913505 2913509 2913720 2913824 2914027 2914297 2914444 2915201 2915270 2915366 2915407 2915746 2915797 2915808 2916300 2916306 2916337 
##    2.20    2.20    2.85    2.61    2.83    2.77    2.33    2.72    2.89    2.53    2.79    1.81    2.65    2.99    2.91    2.81    3.00    2.65    2.90    2.99    2.23    2.69 
## 2916790 2917190 2917461 2918495 2919880 2920577 2921152 2921815 2921865 2921992 2922019 2922444 2922757 2922776 2922961 2923200 2923589 2923777 2923835 2924081 2924118 2924150 
##    2.91    2.37    2.66    2.78    2.41    2.95    2.78    2.66    1.84    2.93    2.99    2.95    2.11    2.65    2.74    2.11    3.00    2.77    2.80    3.00    2.65    2.89 
## 2924455 2924921 2925085 2925218 2925870 2925960 2926404 2926622 2926708 2927075 2927307 2927353 2927404 2927447 2927883 2928012 2928366 2928989 2929797 2929806 2930209 2930236 
##    2.97    2.62    2.66    2.85    2.50    1.99    2.72    2.92    2.46    2.43    2.68    2.81    2.50    2.14    2.73    2.91    2.79    2.77    2.64    2.64    2.91    2.80 
## 2930368 2930514 2930668 2930815 2930958 2931000 2932357 2932403 2932611 2932791 2932924 2933019 2933244 2933642 2933893 2934165 2934207 2934575 2935204 2935350 2936208 2936907 
##    2.76    2.56    2.84    2.67    2.82    2.90    2.26    2.49    2.89    1.55    2.72    2.67    2.86    1.86    2.94    2.75    1.77    2.70    3.00    2.57    2.99    2.76 
## 2937068 2937386 2937944 2938884 2939055 2939099 2939430 2939808 2939813 2940066 2940761 2940824 2940834 2940859 2941166 2941236 2941503 2941637 2941649 2941849 2943609 2943615 
##    2.54    2.93    2.91    2.89    2.90    2.98    2.71    1.95    2.94    2.68    2.85    2.29    2.64    2.81    2.89    2.75    2.83    2.79    2.45    2.87    2.92    2.82 
## 2943703 2943874 2943939 2944319 2944656 2944662 2945242 2945243 2945481 2946224 2946454 2946754 2946932 2947608 2947630 2947752 2947796 2947801 2948321 2948452 2948486 2948494 
##    2.63    2.71    2.71    2.47    2.75    2.78    2.67    2.74    2.90    2.57    2.87    2.43    2.55    2.88    2.49    2.92    2.79    2.35    2.09    2.55    2.53    2.85 
## 2948550 2948603 2948758 2949739 2950688 2950896 2951021 2951160 2951289 2951530 2951771 2951835 2951976 2952235 2952379 2952509 2953405 2953835 2954060 2954145 2954243 2955414 
##    2.44    3.00    2.75    2.30    2.21    2.74    2.90    2.66    2.87    2.56    2.82    2.91    2.29    2.97    2.61    2.50    2.65    2.29    2.89    2.60    2.77    2.74 
## 2955670 2957320 2957474 2958089 2958438 2958573 2959015 2959097 2959313 2959345 2960265 2960380 2960601 2960749 2960861 2960969 2961362 2961985 2962344 2962838 2963668 2963734 
##    2.71    2.95    2.61    2.88    2.93    2.47    2.63    2.99    2.93    2.97    2.36    2.38    2.35    2.01    2.72    2.69    2.57    2.32    2.76    2.20    2.04    2.68 
## 2963753 2963839 2964307 2964344 2964770 2965071 2965385 2965747 2966161 2967008 2967403 2967448 2968332 2969105 2969526 2969725 2969749 2970961 2971025 2971196 2971412 2971812 
##    2.51    2.70    1.83    2.57    1.91    2.51    2.76    2.48    2.62    2.88    2.87    2.95    2.99    2.87    2.56    2.15    2.88    2.88    2.50    2.91    2.98    2.74 
## 2971839 2972033 2973516 2973750 2973886 2974112 2974310 2975010 2975375 2975501 2975653 2975785 2975883 2975991 2976330 2976786 2976958 2977111 2977164 2977338 2977815 2977879 
##    2.98    2.78    2.76    2.96    2.62    2.94    2.77    2.98    2.08    2.73    2.84    2.01    2.79    2.99    2.76    2.93    2.75    2.17    2.85    2.28    2.26    2.74 
## 2978445 2978489 2978956 2979017 2979384 2979518 2979596 2979731 2979750 2979800 2980118 2980667 2981881 2982080 2982602 2982647 2982940 2982965 2983048 2983064 2983254 2983504 
##    2.37    2.98    2.79    2.80    2.27    2.99    2.89    2.78    2.97    2.68    2.11    2.75    2.89    2.93    2.51    2.51    2.93    2.59    2.96    2.64    2.74    2.95 
## 2984725 2985295 2985697 2985766 2985791 2985966 2985983 2986375 2986415 2986886 2987612 2988864 2988891 2988897 2989812 2990107 2990724 2990786 2991018 2991069 2991282 2991918 
##    2.94    2.88    2.96    1.70    2.81    2.73    2.81    2.75    2.66    2.76    2.60    2.43    2.54    2.68    2.30    2.52    2.18    2.60    2.70    2.75    2.47    1.72 
## 2992026 2992397 2992423 2992562 2992771 2993423 2993607 2993956 2995049 2995055 2995090 2995573 2995719 2996041 2996215 2996331 2997021 2997056 2997241 2997587 2997622 2997817 
##    2.56    2.64    2.66    1.94    2.48    2.96    2.92    2.72    2.76    2.49    2.46    2.37    2.67    2.51    2.81    2.47    2.81    2.56    2.82    2.47    2.89    2.93 
## 2997844 2997934 2997952 2998436 2998510 2998866 2999203 2999368 2999644 2999707 2999855 2999963 
##    2.39    2.82    2.97    2.75    2.85    2.50    2.98    2.40    2.85    2.97    2.52    2.85
## [1] "2332078"

Randomization

set.seed(Xmin)
N <- nrow(class_roll.new) 
N_red <- table(class_roll.out$group)[1]
id_red <- sample(1:N, size = 82)
# id_red <- sample(1:N, size = 7)
id_black <- setdiff(1:N, id_red)
class_roll.new$group <- ifelse(1:N %in% id_red, "Red", "Black")
class_roll.new$group <- factor(class_roll.new$group, 
                               levels = c("Red", "Black"))
class_roll.new <- class_roll.new[, c(1:6, 8, 7)]
names(class_roll.stay)[8] <- "mark"
names(class_roll.new)[8] <- "mark"
class_roll <- rbind(class_roll.stay, class_roll.new)

학번

class_roll$id_2 <-
  class_roll$id %>%
  ifelse(. <= 2015, "2015", .)
tbl1 <- class_roll %$%
  table(.$group, .$id_2 %>% substr(1, 4)) %>%
  `colnames<-`(c("2015 이전", 2016:2022)) 
tbl1 %>%
  pander
  2015 이전 2016 2017 2018 2019 2020 2021 2022
Red 9 14 38 63 76 50 135 72
Black 9 16 36 62 72 56 133 73
X1min <- tbl1 %>%
  chisq.test(simulate.p.value = TRUE) %>%
  `[[`(1)
X1min
## X-squared 
## 0.6649401

학번 홀짝

tbl2 <- class_roll$id %>%
  as.numeric %>%
  `%%`(2) %>%
  factor(levels = c(1, 0), labels = c("홀", "짝")) %>%
  table(class_roll$group, .) 
tbl2 %>%
  pander
 
Red 236 221
Black 240 217
X2min <- tbl2 %>%
  chisq.test(simulate.p.value = TRUE) %>%
  `[[`(1)
X2min
##  X-squared 
## 0.07014313

학적 상태

tbl3 <- class_roll$status %>%
  table(class_roll$group, .) 
tbl3 %>%
  pander
  학생 휴학
Red 386 71
Black 387 70
X3min <- tbl3 %>%
  chisq.test(simulate.p.value = TRUE) %>%
  `[[`(1)
X3min
##  X-squared 
## 0.00838586

e-mail 서비스업체

tbl4 <- class_roll$email %>%
  strsplit("@", fixed = TRUE) %>%
  sapply("[", 2) %>%
  `==`("naver.com") %>%
  ifelse("네이버", "기타서비스") %>%
  factor(levels = c("네이버", "기타서비스")) %>%
  table(class_roll$group, .) 
tbl4 %>%
  pander
  네이버 기타서비스
Red 373 84
Black 375 82
X4min <- tbl4 %>%
  chisq.test(simulate.p.value = TRUE) %>%
  `[[`(1)
X4min
##  X-squared 
## 0.02944398

전화번호의 분포

cut_label <- paste(paste0(0:9, "000"), paste0(0:9, "999"), 
                   sep = "~")
tbl5 <- class_roll$cell_no %>%
  substr(start = 8, stop = 11) %>%
  sapply(as.numeric) %>%
  cut(labels = cut_label, 
      breaks = seq(0, 10000, by = 1000)) %>%
  table(class_roll$group, .) 
tbl5 %>%
  pander
  0000~0999 1000~1999 2000~2999 3000~3999 4000~4999 5000~5999 6000~6999 7000~7999 8000~8999 9000~9999
Red 43 35 42 50 34 56 48 44 47 57
Black 44 34 39 50 36 60 47 43 49 54
X5min <- tbl5 %>%
  chisq.test(simulate.p.value = TRUE) %>%
  `[[`(1)
X5min
## X-squared 
## 0.4769403

성씨 분포

f_name <- class_roll$name %>%
  substring(first = 1, last = 1) 
tbl6 <- f_name %>%
  `%in%`(c("김", "이", "박")) %>%
  ifelse(f_name, "기타") %>%
  factor(levels = c("김", "이", "박", "기타")) %>%
  table(class_roll$group, .) 
tbl6 %>%
  pander
  기타
Red 86 71 34 266
Black 83 72 34 268
X6min <- tbl6 %>%
  chisq.test(simulate.p.value = TRUE) %>%
  `[[`(1)
X6min
##  X-squared 
## 0.06773808

Sum of Chi_Squares

Xsum_min <- X1min + X2min + X3min + X4min + X5min + X6min
Xsum_min
## X-squared 
##  1.317591