HAFTA 2 - OGRENME GUNLUGU: KAYIP VERI

R PAKETLERI

library(tidyverse)
library(stevemisc)
library(knitr)
library(haven)
library(dplyr)
library(summarytools)
library(outliers)
library(ggplot2)
library(plotly)
library(ggpmisc)
library(psych)
library(sur)
library(moments)
library(corrplot)
library(olsrr)
library(summarytools)
library(knitr)
library(outliers)
library(DT)
library(labelled)
library(moments)
library(PerformanceAnalytics)
library(naniar)
library(finalfit)

VERI SETI

  • Bu calisma gunlugu icin PISA 2022 USA ogrenci anketi veri setinde yer alan bazi degiskenler secilerek 7, 8,9, 95, 97, 99 gibi degerler kayip veri gibi davrandigi kabul edilerek derste islenen SCREEN datasina benzer bir veri seti elde edilmistir.
  • Veri seti yukleme ve veri setindeki degiskenlerin “etiketlerini” kaldirmak icin “expss” paketinde yer alan “drop_var_labs()” fonksiyonu kullanma:
orj_USA <- read_sav("C:/Users/User/Desktop/USA.SAV")
orj_USA <- expss::drop_var_labs(orj_USA)
head(orj_USA)
## # A tibble: 6 × 34
##   CNT   CNTSTUID   AGE GRADE IMMIG LANGN REPEAT MISSSC SKIPPING TARDYSD EXERPRAC
##   <chr>    <dbl> <dbl> <dbl> <dbl> <dbl>  <dbl>  <dbl>    <dbl>   <dbl>    <dbl>
## 1 USA   84000002  15.4     0     1   313      0      0        0       0       10
## 2 USA   84000003  15.5     0     1   313      0      0        1       0       10
## 3 USA   84000004  16.1     0     1   313      0      0        0       0        5
## 4 USA   84000005  15.6     0     1   313      0      0        1       0        0
## 5 USA   84000006  16.3     1     1   313      0      0        0       2        5
## 6 USA   84000008  15.6     0     2   313      0      1        0       0        4
## # ℹ 23 more variables: STUDYHMW <dbl>, WORKPAY <dbl>, WORKHOME <dbl>,
## #   EXPECEDU <dbl>, MATHPREF <dbl>, MATHEASE <dbl>, MATHMOT <dbl>,
## #   DURECEC <dbl>, SISCO <dbl>, MISCED <dbl>, FISCED <dbl>, HISCED <dbl>,
## #   PAREDINT <dbl>, BMMJ1 <dbl>, BFMJ2 <dbl>, HISEI <dbl>, ICTRES <dbl>,
## #   HOMEPOS <dbl>, ESCS <dbl>, FCFMLRTY <dbl>, ICTAVSCH <dbl>, ICTHOME <dbl>,
## #   ICTAVHOM <dbl>
  • Excel ile benim tarafimdan temizlenmeye calisilmis USA datasi “.csv” formatinda yuklenerek bu calisma icin en uygun olacak sekilde umarim kullanilacak hale getirilmesi:
USA <- read.csv("C:/Users/User/Desktop/USA_temiz.csv", header=TRUE, sep=",")
head(USA)
##   CNT CNTSTUID   AGE GRADE IMMIG LANGN REPEAT MISSSC SKIPPING TARDYSD EXERPRAC
## 1 USA 84000002 15.42     0     1   313      0      0        0       0       10
## 2 USA 84000003 15.50     0     1   313      0      0        1       0       10
## 3 USA 84000004 16.08     0     1   313      0      0        0       0        5
## 4 USA 84000005 15.58     0     1   313      0      0        1       0        0
## 5 USA 84000006 16.33     1     1   313      0      0        0       2        5
## 6 USA 84000008 15.58     0     2   313      0      1        0       0        4
##   STUDYHMW WORKPAY WORKHOME EXPECEDU MATHPREF MATHEASE MATHMOT DURECEC SISCO
## 1        2       0        2        9        0        0       0       2     1
## 2        6       0        0        4        0        0       0      NA     0
## 3        9       0        5        8        1        0       0       2     1
## 4        3      10       10        4        0        0       0       3     1
## 5        1       5        0        9        0        0       0       2     1
## 6       10       0        0        9       NA        0      NA       4     0
##   MISCED FISCED HISCED PAREDINT BMMJ1 BFMJ2 HISEI  ICTRES HOMEPOS    ESCS
## 1      7      9      9       16    NA 79.05 79.05  0.5500  1.1179  1.2582
## 2      6      6      6       12 73.91 59.89 73.91  0.4946  0.7300  0.3488
## 3      9      9      9       16 67.94 82.41 82.41  1.0020  1.1761  1.3463
## 4      5      3      5       12 24.98    NA 24.98 -0.7480 -0.9389 -1.3108
## 5      5      5      5       12    NA 16.50 16.50  1.7606  0.2333 -0.4500
## 6     10      3     10       16 85.85 51.92 85.85  1.4757  0.4713  1.1127
##   FCFMLRTY ICTAVSCH ICTHOME ICTAVHOM
## 1       11        7  0.3346        6
## 2        9        7  0.3346        6
## 3       15        7  0.3346        6
## 4       10        7  0.3346        6
## 5       10        7  0.3346        6
## 6        0        3 -1.5118        5

KAYIP VERI INCELEME

  • Kayip veri siniflandirma:
    1. Tamamen rastgele olarak kayip veri “TRK” icin “Missing COMPLETELY at Random (MCAR)”
    2. Rastgele kayip RK icin “Missing at Random (MAR)”
    3. Rastgele OLMAYAN kayip - ihmal EDILEMEZ kayip “ROK” icin “NOT Missing at Random (NMAR)”
  • Veri setinde cesitli sekillerde olusturdugum kayip degerleri incelemek icin “naniar” ve “ggplot2” paketlerini kullanarak inceleme:
any_na(USA)         # TRUE → Kayip veri oldugunu belirtmekte
## [1] TRUE
n_miss(USA)         # 14864 → Kayip veri SAYISI
## [1] 14864
prop_miss(USA)     # [1] 0.09604053 → Kayip veri ORANI
## [1] 0.09604053
  • Her bir degiskene ait kayip veri sayisini verme:
USA %>% 
  is.na() %>% 
  colSums()
##      CNT CNTSTUID      AGE    GRADE    IMMIG    LANGN   REPEAT   MISSSC 
##        0        0        0        0      398      208      256      448 
## SKIPPING  TARDYSD EXERPRAC STUDYHMW  WORKPAY WORKHOME EXPECEDU MATHPREF 
##      254      264      469      468      476      475      660      540 
## MATHEASE  MATHMOT  DURECEC    SISCO   MISCED   FISCED   HISCED PAREDINT 
##      554      542     2149      694      243      323      223        0 
##    BMMJ1    BFMJ2    HISEI   ICTRES  HOMEPOS     ESCS FCFMLRTY ICTAVSCH 
##      776     1126      500      185      182      210      500      543 
##  ICTHOME ICTAVHOM 
##      607      591
  • Degiskenlere ait kayip veri sayisi ve orani icin genel ozet:
miss_var_summary(USA)
## # A tibble: 34 × 3
##    variable n_miss pct_miss
##    <chr>     <int>    <num>
##  1 DURECEC    2149     47.2
##  2 BFMJ2      1126     24.7
##  3 BMMJ1       776     17.0
##  4 SISCO       694     15.2
##  5 EXPECEDU    660     14.5
##  6 ICTHOME     607     13.3
##  7 ICTAVHOM    591     13.0
##  8 MATHEASE    554     12.2
##  9 ICTAVSCH    543     11.9
## 10 MATHMOT     542     11.9
## # ℹ 24 more rows
  • Degiskenlere gore SUTUN bazinda eksik veriler:
miss_var_table(USA)
## # A tibble: 29 × 3
##    n_miss_in_var n_vars pct_vars
##            <int>  <int>    <dbl>
##  1             0      5    14.7 
##  2           182      1     2.94
##  3           185      1     2.94
##  4           208      1     2.94
##  5           210      1     2.94
##  6           223      1     2.94
##  7           243      1     2.94
##  8           254      1     2.94
##  9           256      1     2.94
## 10           264      1     2.94
## # ℹ 19 more rows
  • Her gozlem SATIR icin eksik veri sayisi ve orani:
miss_case_summary(USA)
## # A tibble: 4,552 × 3
##     case n_miss pct_miss
##    <int>  <int>    <dbl>
##  1    15     29     85.3
##  2    28     29     85.3
##  3    69     29     85.3
##  4    92     29     85.3
##  5   101     29     85.3
##  6   133     29     85.3
##  7   152     29     85.3
##  8   160     29     85.3
##  9   172     29     85.3
## 10   174     29     85.3
## # ℹ 4,542 more rows
  • Veri setindeki eksik degerlerin gozlem SATIR bazinda kac kez tekrarlandigi - AYNI sayida eksik degere sahip olan kac tane SATIR oldugu:
miss_case_table(USA)
## # A tibble: 30 × 3
##    n_miss_in_case n_cases pct_cases
##             <int>   <int>     <dbl>
##  1              0    1533    33.7  
##  2              1    1509    33.2  
##  3              2     468    10.3  
##  4              3     200     4.39 
##  5              4     157     3.45 
##  6              5      80     1.76 
##  7              6      43     0.945
##  8              7      29     0.637
##  9              8      25     0.549
## 10              9      13     0.286
## # ℹ 20 more rows
  • Degiskende SUTUNDA kac tane eksik veri oldugunu gorsellestirmek icin CUBUK GRAFIGI (bar plot):
gg_miss_var(USA)

  • ISI HARITASI:
  • “vis_miss(USA)” → SATIR olarak gozlem ve SUTUN olarak degiskenleri temsil ederek eksik degerleri SIYAH (eksik veri) & BEYAZ (eksiksiz veri) isi haritasi olarak gorsellestirmek icin kullanilir.
    • “theme(axis.text.x = element_text(angle=80))” fonksiyonu → x-eksenindeki degiskenleri 80 derece (ANGLE) dondururerek okunurlugu arttirmayi saglar.
vis_miss(USA) + theme(axis.text.x = element_text(angle=80))

  • UpSet GRAFIGI:
  • SOLDA; cubuk (bar plot) grafigi
  • ALTTA; Siyah noktalar ve cizgiler → eksik olan degiskenleri gosterir
  • USETTE; Hangi eksik veri kombinasyonlarinin kac kez tekrarlandigini gosterir
gg_miss_upset(USA)

MCAR TESTI

  • “naniar” paketindeki “mcar_test()” fonksiyonunu → veri setindeki eksik verilerin “Tamamen Rastgele Kayip” (MCAR - Missing Completely at Random) olup olmadigini test eder.
    • p > 0.05 ise → MCAR hipotezi reddedilemez → Eksik veriler TAMAMEN rastgele kaybolmus olabilir.
    • p ≤ 0.05 ise → MCAR hipotezi reddedilir → Eksik veriler sistematik bir PATERN izliyor olabilir → MAR veya MNAR
naniar::mcar_test(data=USA[, c(3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34)])
## # A tibble: 1 × 4
##   statistic    df p.value missing.patterns
##       <dbl> <dbl>   <dbl>            <int>
## 1    15162.  9069       0              377

Kayip Verinin Degiskenler ile Iliskisi

  • Veri kaybinin diger degiskenler ile iliskisi finalfit paketi ile gerceklestirilen t testi:
USA2 <- USA
USA2$IMMIG_m <- USA2$IMMIG
library(kableExtra)
library(finalfit)
explanatory = c("FISCED", "MISCED", "HISCED")
dependent = "IMMIG_m"
USA2 %>% 
  missing_compare(dependent, explanatory) %>% 
    knitr::kable(row.names=FALSE, align = c("l", "l", "r", "r", "r"), 
        caption = "Eksik Veriye sahip OLAN ve OLMAYAN Degiskenlerin Ortalama Karsilastirilmasi") %>% 
kable_styling(full_width = TRUE, font_size = 14, bootstrap_options = "striped") %>%
   kableExtra::row_spec(0, background = "white", color = "black") 
Eksik Veriye sahip OLAN ve OLMAYAN Degiskenlerin Ortalama Karsilastirilmasi
Missing data analysis: IMMIG_m Not missing Missing p
FISCED Mean (SD) 6.3 (2.3) 5.7 (2.7) <0.001
MISCED Mean (SD) 6.8 (2.3) 5.9 (2.7) <0.001
HISCED Mean (SD) 7.2 (2.2) 6.4 (2.6) <0.001
  • IMMIG_m degiskenindeki eksik verisi OLAN ve OLMAYAN grupların FISCED, MISCED ve HISCED bagimsiz degiskenleri acisindan ortalama (Mean) ve standart sapmalarini (SD) karsilastirmaktadir.
  • p degerleri ISTATISTIKSEL OLARAK MANIDAR oldugu icin:
    • IMMI_m degiskenindeki eksik veriler → DUSUK egitim duzeyi ile iliskili
    • Hem anne hem baba egitimi DUSUK olan bireylerde → IMMIG_m eksik veri orani daha FAZLA
    • Evdeki en YUKSEK egitim seviyesi de DUSUK ise → eksik veri olasiligi ARTIYOR
Welch’s Two Sample t-Testi
miss_test <- USA2 %>% mutate(miss_IMMIG = is.na(IMMIG))
# FISCED degiskeninde eksik verisi olmayanlar:
FISCED_nonna <- miss_test %>% filter(miss_IMMIG == FALSE) %>% pull(FISCED)
# IMMIG degiskeninde eksik verisi olanlar:
FISCED_na <- miss_test %>% filter(miss_IMMIG == TRUE) %>% pull(MISCED)  
#c Oran:
t.test(FISCED_nonna, FISCED_na)
## 
##  Welch Two Sample t-test
## 
## data:  FISCED_nonna and FISCED_na
## t = 2.2657, df = 208.85, p-value = 0.0245
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  0.05730928 0.82506967
## sample estimates:
## mean of x mean of y 
##  6.323843  5.882653
  • Bu test, FISCED degiskeninin eksik verisi OLAN (FISCED_na) ve OLMAYAN (FISCED_nonna) gruplarinin ortalamalarinin istatistiksel olarak farkli olup olmadigini belirlemek icin uygulanmis
    • p-degeri = 0.0245 → p < 0.05 oldugu icin → 2 grup arasindaki fark istatistiksel olarak MANIDAR
    • Eksik veri OLMAYAN grubun (FISCED_nonna) ortalamasi = 6.32, eksik veri OLAN grubun (FISCED_na) ortalamasi 5.88’dir.
      • FISCED (Babanın Egitim Duzeyi) eksik OLAN bireylerin babalarının ortalama egitim seviyesinin daha DUSUK oldugunu gosterir.

KAYIP VERI ILE BAS ETME YONTEMLERI

Veri Silmeye Dayali Yontemler

  • Liste bazinda:
na.omit(USA)
##      CNT CNTSTUID   AGE GRADE IMMIG LANGN REPEAT MISSSC SKIPPING TARDYSD
## 3    USA 84000004 16.08     0     1   313      0      0        0       0
## 8    USA 84000011 16.08     0     3   313      0      0        0       0
## 9    USA 84000014 16.25     1     1   313      0      0        0       1
## 10   USA 84000015 15.83     0     1   313      0      0        1       1
## 12   USA 84000019 16.25     0     1   313      1      0        0       0
## 13   USA 84000021 15.83     0     1   313      0      1        1       1
## 14   USA 84000023 15.75     0     1   313      0      0        0       0
## 23   USA 84000038 16.17     0     1   313      0      0        0       0
## 30   USA 84000052 16.08     0     1   313      0      0        1       0
## 31   USA 84000054 15.75     0     1   313      0      0        0       0
## 32   USA 84000055 15.50     0     1   313      0      0        0       0
## 33   USA 84000056 15.67     0     1   313      0      0        0       0
## 36   USA 84000060 15.75    -1     1   313      1      0        1       0
## 39   USA 84000064 15.42    -1     1   313      0      0        0       0
## 40   USA 84000071 16.33     1     2   313      0      0        0       0
## 43   USA 84000074 15.83     0     1   313      0      0        1       0
## 48   USA 84000080 16.17     1     1   313      0      0        0       0
## 51   USA 84000085 15.75     0     1   313      0      0        0       1
## 52   USA 84000086 15.75     0     1   313      0      0        0       0
## 54   USA 84000090 15.50     0     2   313      0      0        0       1
## 57   USA 84000093 16.08     0     1   313      0      0        1       1
## 58   USA 84000094 15.83     0     2   313      0      0        1       1
## 61   USA 84000100 15.50     0     2   156      0      0        0       1
## 62   USA 84000101 16.00     0     1   313      0      0        0       0
## 63   USA 84000103 15.92     0     2   156      0      0        1       0
## 65   USA 84000105 15.50     0     1   313      0      0        1       0
## 77   USA 84000126 16.08     0     1   313      0      0        1       2
## 82   USA 84000133 15.67     0     1   313      0      0        0       0
## 84   USA 84000138 16.25     1     3   313      0      0        0       1
## 86   USA 84000143 16.00     0     1   313      0      1        0       0
## 89   USA 84000147 16.17     1     2   156      0      0        0       1
## 93   USA 84000151 15.33     0     1   313      0      0        0       0
## 94   USA 84000155 16.08     0     1   313      0      0        1       1
## 96   USA 84000166 15.75     0     3   156      0      0        0       0
## 97   USA 84000167 15.83     0     1   313      0      0        0       1
## 100  USA 84000176 16.25     0     1   313      0      0        0       1
## 107  USA 84000190 15.67     0     2   313      0      0        1       1
## 108  USA 84000192 15.92     0     1   313      0      0        1       1
## 110  USA 84000195 16.33     1     1   313      0      0        1       0
## 117  USA 84000210 16.00     0     1   313      0      0        0       0
## 119  USA 84000213 16.17     0     1   313      0      0        0       0
## 121  USA 84000216 15.83     0     1   313      0      0        0       1
## 122  USA 84000218 15.92     0     1   313      0      1        0       1
## 123  USA 84000219 16.00     1     2   859      0      0        0       0
## 125  USA 84000221 15.58     0     3   156      0      0        0       0
## 129  USA 84000231 16.17     0     1   313      1      0        0       2
## 132  USA 84000237 16.08     1     1   313      0      0        1       0
## 136  USA 84000246 16.08     0     1   313      0      0        1       0
## 138  USA 84000253 15.67     0     1   313      0      0        0       0
## 139  USA 84000254 16.08     0     1   313      0      0        0       0
## 140  USA 84000255 16.25     0     1   313      1      0        0       1
## 146  USA 84000264 15.67     0     1   313      0      0        0       0
## 148  USA 84000266 15.58     0     1   313      0      0        1       1
## 150  USA 84000268 15.33     0     1   313      0      0        0       1
## 151  USA 84000271 15.50     0     1   313      0      0        1       1
## 153  USA 84000279 15.67     0     2   156      0      0        0       0
## 159  USA 84000290 16.08     1     1   313      0      0        1       0
## 162  USA 84000294 15.67     0     2   313      0      0        0       0
## 165  USA 84000298 16.08     0     1   313      0      0        0       0
## 175  USA 84000313 16.25     1     1   156      0      0        1       2
## 179  USA 84000322 16.33     1     1   313      0      0        0       1
## 180  USA 84000325 15.42     0     1   313      0      0        0       0
## 181  USA 84000330 16.33     1     1   313      0      0        0       2
## 182  USA 84000334 16.00     0     1   313      0      0        0       0
## 184  USA 84000337 15.50     0     2   156      0      0        0       0
## 187  USA 84000343 15.75     0     2   313      0      0        0       0
## 191  USA 84000352 15.58     0     1   313      0      0        0       1
## 196  USA 84000363 15.83     0     1   313      0      0        1       0
## 201  USA 84000374 16.08     0     3   156      0      0        1       0
## 203  USA 84000380 16.17     1     2   313      0      0        0       0
## 204  USA 84000381 15.75     0     1   313      0      0        0       0
## 205  USA 84000383 15.75     0     1   313      0      0        0       0
## 206  USA 84000384 15.58     0     3   859      0      0        1       0
## 207  USA 84000388 16.08     1     1   313      0      0        1       0
## 210  USA 84000393 15.33     0     1   313      0      0        1       1
## 212  USA 84000395 16.00     0     1   313      0      1        1       1
## 213  USA 84000396 15.42     0     1   313      0      0        1       2
## 218  USA 84000402 15.83    -1     1   313      1      1        1       2
## 226  USA 84000414 15.50     0     2   156      1      1        1       2
## 232  USA 84000426 15.42     0     2   156      0      0        0       0
## 234  USA 84000430 15.92     0     1   313      0      0        1       0
## 238  USA 84000437 16.00     0     1   313      0      1        0       0
## 240  USA 84000442 15.75    -1     1   313      1      0        0       1
## 247  USA 84000455 15.83     0     1   313      0      0        0       0
## 249  USA 84000458 16.25     1     3   859      0      0        0       1
## 250  USA 84000460 15.92     0     1   313      0      0        1       2
## 252  USA 84000462 15.75     0     1   313      0      0        0       0
## 253  USA 84000463 15.92     0     1   313      0      0        0       0
## 259  USA 84000480 15.92     0     2   313      0      0        1       1
## 260  USA 84000482 16.00     0     1   313      0      0        1       0
## 264  USA 84000489 16.00     0     1   313      0      0        1       0
## 265  USA 84000491 15.50     0     1   313      0      0        0       1
## 266  USA 84000492 15.75     0     1   313      0      0        0       0
## 269  USA 84000496 16.17     0     1   313      0      0        1       2
## 270  USA 84000497 15.67     0     1   313      0      0        0       2
## 272  USA 84000499 16.00     0     1   313      0      0        1       2
## 276  USA 84000504 15.50     0     1   313      0      0        0       2
## 279  USA 84000509 15.50     0     1   313      0      0        0       2
## 281  USA 84000513 16.00     0     2   156      0      0        0       0
## 283  USA 84000516 15.42     0     1   313      0      0        1       2
## 287  USA 84000526 15.67     0     1   313      0      0        1       0
## 290  USA 84000530 16.00     0     1   313      0      0        0       1
## 296  USA 84000542 16.25     1     1   313      0      0        0       1
## 297  USA 84000545 15.67     0     1   313      0      0        0       0
## 299  USA 84000547 15.42     0     2   156      0      0        1       0
## 305  USA 84000556 15.75     0     1   313      0      0        1       1
## 306  USA 84000557 15.58     0     1   313      0      0        0       0
## 307  USA 84000558 15.75     0     2   859      0      0        1       1
## 311  USA 84000565 16.00     0     1   313      0      0        0       0
## 312  USA 84000566 15.75    -1     1   313      0      0        0       0
## 315  USA 84000569 15.58     0     1   313      0      0        0       1
## 320  USA 84000574 16.25     1     1   313      0      0        1       1
## 322  USA 84000578 15.58     0     1   313      0      0        1       0
## 326  USA 84000586 15.75     0     1   313      0      0        1       1
## 327  USA 84000587 16.00     0     1   313      0      0        0       2
## 330  USA 84000590 15.42     0     1   313      0      0        0       0
## 333  USA 84000601 16.17     1     1   313      0      0        0       1
## 335  USA 84000604 15.42     0     1   313      0      1        0       0
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## 1903 USA 84003441 16.08     0     1   313      0      0        0       1
## 1904 USA 84003445 15.83     0     1   313      0      0        0       0
## 1907 USA 84003451 15.83     0     1   313      0      0        1       1
## 1908 USA 84003452 15.50     0     1   313      0      0        1       0
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## 1911 USA 84003457 15.50     0     1   313      0      0        1       0
## 1912 USA 84003459 16.00     0     1   313      0      0        0       0
## 1915 USA 84003464 16.08     0     1   313      0      0        1       1
## 1917 USA 84003468 15.42     0     1   313      0      0        1       0
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## 1929 USA 84003492 15.83     0     1   313      0      0        0       0
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## 1937 USA 84003500 16.08     0     1   313      0      0        0       1
## 1941 USA 84003507 16.17     1     1   313      0      0        1       1
## 1943 USA 84003511 16.25     1     2   156      0      0        0       0
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## 1953 USA 84003530 16.25     1     1   313      0      0        0       0
## 1954 USA 84003532 16.08     1     2   156      0      0        0       1
## 1956 USA 84003535 15.58     0     1   156      0      0        1       1
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## 1975 USA 84003566 16.00     1     1   313      0      0        1       0
## 1980 USA 84003573 15.83     0     1   313      0      0        0       1
## 1981 USA 84003575 15.67     0     1   313      0      0        0       0
## 1987 USA 84003585 16.08     0     3   859      0      0        1       2
## 1989 USA 84003587 16.33     1     2   156      0      0        0       2
## 1991 USA 84003590 15.58     0     1   313      0      0        0       0
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## 1994 USA 84003597 16.25     1     2   313      0      0        1       1
## 1996 USA 84003604 15.67     0     1   313      0      0        0       0
## 1999 USA 84003614 15.50     0     1   313      0      0        0       0
## 2002 USA 84003626 15.42     0     1   313      0      0        0       0
## 2004 USA 84003631 16.00     0     2   156      1      1        1       2
## 2006 USA 84003635 15.92     0     1   313      0      1        0       0
## 2009 USA 84003638 16.00     0     1   313      0      0        0       1
## 2011 USA 84003642 15.50     0     1   313      0      0        1       0
## 2018 USA 84003653 15.67     0     1   313      0      0        1       2
## 2022 USA 84003661 16.25     1     1   313      0      0        0       0
## 2030 USA 84003674 15.33    -1     1   313      0      0        0       0
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## 3916        0        5       0        5        7        0        0       0
## 3919        7        5       0        0        8        0        0       0
## 3921       10        3       4        5        4        0        0       0
## 3923       10       10       1        2        8        0        0       0
## 3928        5        5       0        3        8        0        0       0
## 3934        0        0       0        0        8        0        0       0
## 3937       10        5       0       10        8        0        0       0
## 3942        0        3       1        0        8        0        0       0
## 3944       10        0       0       10        9        0        0       0
## 3948        9        4       0        2        9        0        0       0
## 3949        0        2       0        3        2        0        0       0
## 3951        0        7       3       10        7        0        0       0
## 3954        4        6       0        1        7        0        0       0
## 3956       10       10       1       10        8        0        0       0
## 3959        3       10       0        3        9        0        0       0
## 3964        2        5       0        3        9        0        0       0
## 3965        0        6       0        6        8        0        0       0
## 3966        5        2       0        0        9        0        0       0
## 3967        9        2       0        4        9        0        0       0
## 3976        3        7       0       10        7        0        0       0
## 3980       10        7       8        9        8        0        0       0
## 3981        0        0       0        0        4        1        1       0
## 3983        5        5       0        9        7        0        0       0
## 3984        5        4       0       10        8        0        0       0
## 3985        1        4       0        2        9        0        0       0
## 3986        0        6       3       10        5        0        0       0
## 3987        5        2       3        0        8        0        0       0
## 3989       10       10       4        8        8        1        0       0
## 3998        0        0       0        6        9        0        0       0
## 4000        5        4       0        0        7        0        0       0
## 4001       10        6       6       10        7        0        0       0
## 4005        0        4       6        0        7        0        0       0
## 4006        5        5       0        5        8        0        0       0
## 4007        2        3       0        5        7        0        0       0
## 4013        0        8       1        8        8        1        0       0
## 4016       10        0       0        5        7        1        1       0
## 4020        1       10       0       10        7        0        1       0
## 4022        5        5       0        5        7        0        0       0
## 4023       10       10       0        2        4        0        0       0
## 4028        6        4      10       10        8        0        0       0
## 4029       10        0       2       10        8        0        0       0
## 4031        4        2       0        2        7        0        0       0
## 4034        3        6       3        0        9        1        1       0
## 4037       10        7       0        4        6        0        0       0
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## 4043        8        8       4        3        7        1        0       0
## 4047        4        2       1        4        9        0        0       0
## 4048        8        4       0        2        8        1        0       0
## 4052       10        2       3       10        9        0        1       0
## 4054        0        0      10       10        5        0        0       0
## 4056        5        2       2        0        9        0        0       0
## 4058        3        2       0       10        7        0        1       0
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## 4068        2        6      10        0        9        0        0       0
## 4074        7       10       0        7        9        0        0       0
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## 4078        8        3       1        1        7        0        0       0
## 4083        8        4       0        2        9        0        0       0
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## 4101        8        6       0        6        4        0        0       0
## 4108        0        7       0        6        7        0        0       0
## 4110       10       10       0        0        7        0        0       0
## 4114        5        0       5        0        2        0        0       0
## 4115        0        5       3        2        9        0        0       0
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## 4122       10       10       0       10        7        0        0       0
## 4124        2        7       1        5        9        0        0       0
## 4127        7        5       6        4        8        0        0       0
## 4129        5        0       0        3        4        0        0       0
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## 4133        4        8       0        2        6        0        0       0
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## 4142        0        9       0        4        4        0        0       0
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## 4145        3        9       1        3        7        0        0       0
## 4146       10        5       0        0        8        1        0       0
## 4147        2        2       0        1        9        0        0       0
## 4149        8        3       0        5        5        0        0       0
## 4150        8       10       0       10        9        1        0       0
## 4152        2        0       1        7        4        0        0       0
## 4155        0        0       2       10        7        0        0       0
## 4156        0        5       0        0        6        1        1       0
## 4157        6        5       0        5        9        0        0       0
## 4160       10       10      10       10        9        0        0       0
## 4162       10        5       2        3        5        0        0       0
## 4164       10        4       0        5        8        0        0       0
## 4166       10       10       0        5        4        0        0       0
## 4167        6        0       0        7        5        0        0       0
## 4168        5        3       0        3        7        0        0       0
## 4170        4        7       6        5        7        0        0       0
## 4179        5        5       0        0        9        0        0       0
## 4181        1        6       0        5        7        0        0       0
## 4186        2        4       0       10        9        0        0       0
## 4192        4        8       2       10        9        1        1       1
## 4197        8        3       2        4        6        1        0       1
## 4202       10        5       2        0        8        0        0       0
## 4205        4        6       0        1        7        0        1       0
## 4208       10       10       1        6        7        0        0       0
## 4210        3        9       0        6        5        0        0       0
## 4214       10        8       0        0        8        0        0       0
## 4222        0        0      10        5        4        0        0       0
## 4226        5        4       0        4        8        0        0       0
## 4232        5       10       2        0        9        1        1       0
## 4234        6       10       0        0        8        0        0       0
## 4235        0       10       0        5        9        0        0       0
## 4236        2        2       4        1        5        0        0       0
## 4238        8       10       2       10        6        0        1       0
## 4239       10       10       0        8        8        0        0       0
## 4241        6        3       0        0        6        0        0       0
## 4246       10        0      10        3        6        0        0       0
## 4247       10        9       0       10        9        0        0       0
## 4248       10       10      10       10        9        0        0       0
## 4252        0        5       0        4        7        0        0       0
## 4254        0        3       0        2        8        0        0       0
## 4259        7        8       0        0        7        0        0       0
## 4260        8       10       0        6        8        0        0       0
## 4262        5        7       0        0        8        0        0       0
## 4264        0        0       0        0        4        0        0       0
## 4266        5        7       0        9        6        1        1       0
## 4269       10        6       0        6        7        0        0       0
## 4271        5        5       0        2        9        0        0       0
## 4275        3        5       0        0        8        0        0       0
## 4283        5        5       1        2        7        1        1       1
## 4286        5        6       4        4        7        0        0       0
## 4287        1        2       1        6        4        0        0       0
## 4289        5        3       0        3        5        0        0       0
## 4291        2        7       0       10        9        0        1       0
## 4293        5        6       1        9        9        0        0       0
## 4297        8        5       0        0        8        0        0       0
## 4302       10       10       0        7        9        0        0       0
## 4303        1        2       0        0        4        0        0       0
## 4304        5        7       0        0        7        0        0       0
## 4306        3        3       0        1        4        0        0       0
## 4309       10        8       4        6        4        0        0       0
## 4310        1        1       0        4        9        0        0       0
## 4312        3        2       3        8        4        0        0       0
## 4314        0        1       0        0        5        0        1       0
## 4324        7        2       1        0        4        0        0       0
## 4328        8        4       0        0        8        1        1       1
## 4331        4        2       0        0        8        0        0       0
## 4333        7        8       0        5        7        0        0       0
## 4334       10        4       0        0        9        0        0       0
## 4337        4        6       0        7        5        1        1       0
## 4339        6        1       0        0        7        0        0       0
## 4340        0        3       0        3        6        1        0       0
## 4341        5       10       0        0        9        0        0       0
## 4342        5        5       0        0        4        0        0       0
## 4345        4        8       0        5        8        1        0       0
## 4350        0        8       0        4        7        0        0       0
## 4352        6        8       2        4        7        1        1       0
## 4355        0        1       2        2        9        0        0       1
## 4358       10        4       0        7        4        1        0       0
## 4362        4        4       0        5        5        0        0       0
## 4366        6        5      10        5        5        0        0       0
## 4370        0        4       0        7        6        0        0       0
## 4373        5        0       0        5        9        1        1       0
## 4374        0        9       0        0        8        0        0       0
## 4375        8        6       0        2        7        1        1       0
## 4376        7        0       0        2        9        0        0       0
## 4378        8        6       0        2        9        0        0       0
## 4380        3        6       0        0        8        1        0       0
## 4385        3        1       0        0        7        0        0       0
## 4386        5        2       0        1        8        1        1       0
## 4387        7        5       0        0        9        0        0       0
## 4390        6        8       3        6        8        0        0       0
## 4391        5        6       0        0        8        0        0       0
## 4392        5        6       0        0        4        0        0       0
## 4393        3        2       0        1        8        0        0       0
## 4395       10        7       4        8        7        0        0       0
## 4396        5        5      10        5        9        0        0       0
## 4398        8        6       0        0        9        1        0       0
## 4402        2        3       0       10        5        0        0       0
## 4407        0        3       0        1        7        0        0       0
## 4408        3        5       0        3        7        0        0       0
## 4414        3        7       3        0        7        1        0       0
## 4416       10       10       0        2        6        0        0       0
## 4417        0        6       0        3        7        1        0       0
## 4418        5        4       0        6        9        0        0       0
## 4419        2        0       1        6        5        1        0       0
## 4430       10        2       3        5        7        0        0       0
## 4432        0        1       0        7        8        0        0       0
## 4433        1        8      10        9        9        0        0       0
## 4434        6       10       0        7        9        0        0       0
## 4437        1        4       0        5        7        0        0       0
## 4439       10        5       0        0        8        0        0       0
## 4443        5        3       0        0        7        0        1       1
## 4444        5        4       3        1        7        0        0       0
## 4451        5        4       5        5        6        0        0       0
## 4452       10        0       0       10        4        0        0       0
## 4460        2        4       0        4        8        1        0       0
## 4462       10        4       2        8        9        0        0       0
## 4466        0        5       0        1        7        0        0       0
## 4467        6        2       0        0        4        0        0       0
## 4472        5        6       1        0        8        0        0       0
## 4485        7       10       2        2        7        0        0       0
## 4486        5        5       0        2        7        1        0       0
## 4491       10       10       0       10        8        0        0       0
## 4492        5        0       0        5        9        0        0       0
## 4493        0        3       0        0        4        0        0       0
## 4496        6        5       0       10        8        0        0       0
## 4497        8        5       0        5        9        0        0       0
## 4499       10       10       0        2        9        0        0       0
## 4500        2       10       0       10        8        0        0       0
## 4502        0        2       3        0        7        0        0       0
## 4503        0        6       0       10        8        0        0       0
## 4504        1        1       1        1        9        0        1       0
## 4505       10        6       1        2        8        1        1       0
## 4506        7        0       0        0        7        0        0       0
## 4511        8        6       2       10        5        0        0       0
## 4516        5        2       3        5        8        1        1       0
## 4517        3        2       0        0        7        0        0       0
## 4518       10       10       0        0        9        0        0       0
## 4519        2        5       0        3        9        0        0       0
## 4521        8        6       1        5        7        1        0       0
## 4522        4        4       0        0        9        0        0       0
## 4529        7        7       2        8        8        0        0       0
## 4530       10        6       4        8        9        0        0       0
## 4532        0        2       0        2        8        0        0       0
## 4535        4        8       0        6        4        0        0       0
## 4547        5        6       0        3        8        0        0       0
## 4550        5        4       2        4        8        0        0       0
## 4552        4        3       0        0        7        0        0       0
##      DURECEC SISCO MISCED FISCED HISCED PAREDINT BMMJ1 BFMJ2 HISEI  ICTRES
## 3          2     1      9      9      9     16.0 67.94 82.41 82.41  1.0020
## 8          1     1      9      8      9     16.0 70.50 27.52 70.50  0.2867
## 9          3     1     10     10     10     16.0 73.91 73.91 73.91  2.2545
## 10         1     0      8      9      9     16.0 70.10 70.89 70.89 -0.3588
## 12         1     1      5      5      5     12.0 25.04 33.76 33.76  0.7541
## 13         3     1      6      7      7     14.5 31.08 35.34 35.34  0.8701
## 14         2     1     10     10     10     16.0 54.54 51.01 54.54  0.7159
## 23         2     1      8      5      8     16.0 60.29 27.52 60.29 -0.0073
## 30         1     1      8      6      8     16.0 57.00 21.96 57.00  0.1106
## 31         2     1      8      5      8     16.0 17.00 73.91 73.91  1.5585
## 32         2     1      5      5      5     12.0 21.24 80.78 80.78  0.0811
## 33         1     0      7      8      8     16.0 60.29 75.13 75.13  1.4072
## 36         2     1      9      3      9     16.0 66.42 17.55 66.42 -1.1862
## 39         3     0      8      8      8     16.0 62.39 49.48 62.39  1.0382
## 40         2     1      8      7      8     16.0 62.39 25.26 62.39 -0.6510
## 43         3     1      6      5      6     12.0 70.89 59.89 70.89  0.4248
## 48         1     1     10      9     10     16.0 81.92 39.45 81.92  0.2893
## 51         4     1     10      9     10     16.0 68.70 72.27 72.27  2.7402
## 52         2     1      8      9      9     16.0 82.41 59.89 82.41  0.1428
## 54         3     1      9      9      9     16.0 57.38 85.41 85.41 -0.9327
## 57         3     1     10      5     10     16.0 68.70 36.92 68.70  1.2368
## 58         1     1      1      1      1      3.0 16.50 30.90 30.90 -0.3003
## 61         2     1      5      5      5     12.0 14.21 50.15 50.15 -0.8091
## 62         2     1      7      5      7     14.5 60.29 11.56 60.29  0.5133
## 63         1     1      8      8      8     16.0 17.00 36.35 36.35 -0.8601
## 65         1     0      9      9      9     16.0 68.70 51.50 68.70 -0.4646
## 77         4     1      8      9      9     16.0 43.33 70.34 70.34  0.3624
## 82         2     0      5      5      5     12.0 16.50 11.74 16.50  0.9473
## 84         2     1      7     10     10     16.0 68.70 16.50 68.70 -0.0136
## 86         3     1      8      8      8     16.0 65.01 65.42 65.42  1.0020
## 89         1     1      6      6      6     12.0 11.74 82.31 82.31  0.4011
## 93         5     1      3      9      9     16.0 26.64 25.26 26.64 -1.5380
## 94         3     1      8      8      8     16.0 70.50 82.41 82.41 -0.2803
## 96         4     1      8      8      8     16.0 68.88 68.88 68.88 -1.2415
## 97         2     1      5      5      5     12.0 52.72 30.78 52.72 -1.3354
## 100        3     1      9      7      9     16.0 65.01 78.76 78.76  1.6820
## 107        2     1      5      2      5     12.0 44.14 11.74 44.14 -1.4050
## 108        3     0      9      7      9     16.0 68.70 23.80 68.70  1.3441
## 110        1     0      7      5      7     14.5 53.15 25.95 53.15  0.4856
## 117        2     1      8      8      8     16.0 53.15 62.45 62.45  1.2946
## 119        2     1      9      5      9     16.0 82.41 56.35 82.41  0.5800
## 121        1     1      5      5      5     12.0 79.74 25.26 79.74  0.4505
## 122        3     1      3      5      5     12.0 24.53 29.73 29.73 -0.6259
## 123        2     1      7      5      7     14.5 35.34 27.52 35.34  0.1601
## 125        2     1      7      5      7     14.5 75.43 18.08 75.43 -0.8430
## 129        1     1      8      8      8     16.0 82.41 51.50 82.41  0.2867
## 132        4     1     10     10     10     16.0 17.00 81.92 81.92  1.2422
## 136        3     1     10      7     10     16.0 68.70 35.34 68.70 -0.3588
## 138        1     1      5      8      8     16.0 53.15 40.54 53.15 -0.2000
## 139        1     1      9      8      9     16.0 39.02 76.49 76.49  0.8542
## 140        2     1      3      3      3      9.0 27.52 25.06 27.52  1.4815
## 146        3     1      9      8      9     16.0 68.70 58.07 68.70 -0.3200
## 148        1     1      8      8      8     16.0 68.70 25.95 68.70 -0.6548
## 150        2     1     10      9     10     16.0 57.04 81.40 81.40  0.1428
## 151        3     1      6      7      7     14.5 31.08 25.95 31.08 -0.3527
## 153        3     1      6      7      7     14.5 17.00 28.52 28.52  1.3291
## 159        1     1      5      8      8     16.0 31.08 61.57 61.57 -0.1320
## 162        3     1      2      2      2      6.0 14.82 15.35 15.35  0.0147
## 165        1     0      3      7      7     14.5 71.39 43.85 71.39  0.7600
## 175        2     0      3      3      3      9.0 16.50 29.84 29.84  0.6293
## 179        2     1      8      8      8     16.0 24.98 81.40 81.40 -0.1177
## 180        3     1      9      9      9     16.0 70.89 65.12 70.89  0.6731
## 181        2     1      8      8      8     16.0 62.39 43.85 62.39  0.6890
## 182        2     1      5      5      5     12.0 65.01 27.52 65.01  0.3344
## 184        1     0      6      3      6     12.0 24.68 20.91 24.68  0.9449
## 187        2     1      5      5      5     12.0 13.24 22.16 22.16  0.5349
## 191        2     0      9      9      9     16.0 85.41 21.82 85.41  1.5160
## 196        2     1      8      8      8     16.0 76.65 76.65 76.65  0.6055
## 201        3     1      9      9      9     16.0 71.39 65.12 71.39 -0.0073
## 203        2     1      9      8      9     16.0 68.70 14.21 68.70 -0.7631
## 204        4     1      9     10     10     16.0 76.49 85.41 85.41  0.7505
## 205        5     1      9     10     10     16.0 65.01 77.10 77.10  0.3733
## 206        2     1      9      9      9     16.0 61.57 75.13 75.13  0.5500
## 207        3     1      5      5      5     12.0 70.50 21.82 70.50  0.1371
## 210        2     1      9      8      9     16.0 76.65 11.74 76.65  1.2763
## 212        1     1      8      7      8     16.0 36.35 36.35 36.35 -1.4212
## 213        3     1      9      7      9     16.0 43.85 35.34 43.85  0.4343
## 218        3     0      7      5      7     14.5 52.72 27.91 52.72 -0.5752
## 226        6     1      7     10     10     16.0 24.53 71.39 71.39  0.1692
## 232        2     1      3      7      7     14.5 17.00 33.76 33.76  1.0229
## 234        3     1     10      8     10     16.0 26.64 25.04 26.64 -0.3003
## 238        2     1      9      8      9     16.0 68.70 60.29 68.70  0.8768
## 240        3     1      5      5      5     12.0 21.64 51.56 51.56  1.0936
## 247        2     1      6      5      6     12.0 21.64 35.34 35.34 -0.5558
## 249        2     1      8      8      8     16.0 74.66 74.66 74.66  0.7900
## 250        2     1      7      6      7     14.5 52.72 77.10 77.10  1.4380
## 252        2     0      8      8      8     16.0 75.54 73.91 75.54  1.4216
## 253        2     1      9      5      9     16.0 48.13 18.08 48.13 -0.3003
## 259        2     1      2      1      2      6.0 30.90 13.34 30.90 -0.8787
## 260        3     1      9      8      9     16.0 82.41 74.79 82.41  1.8562
## 264        3     0      8      9      9     16.0 76.49 50.05 76.49 -0.6885
## 265        0     1      8      5      8     16.0 71.39 51.50 71.39 -0.9602
## 266        3     0      5      5      5     12.0 75.43 50.05 75.43  2.2514
## 269        2     1      6      5      6     12.0 21.24 16.36 21.24  0.3311
## 270        2     1      9      9      9     16.0 76.49 81.78 81.78  1.4904
## 272        3     1      5      9      9     16.0 51.56 70.34 70.34 -0.9103
## 276        3     1      9      9      9     16.0 21.24 70.34 70.34 -1.0331
## 279        2     0      9      9      9     16.0 65.01 71.39 71.39  1.1084
## 281        2     1      8      8      8     16.0 16.38 26.62 26.62 -0.3588
## 283        3     1      5      5      5     12.0 28.04 27.52 28.04 -0.2311
## 287        3     1      5      5      5     12.0 65.12 17.55 65.12  2.4004
## 290        3     1      9      5      9     16.0 75.54 19.41 75.54  0.5735
## 296        3     1      7      5      7     14.5 32.50 79.05 79.05  0.5349
## 297        5     1      5      7      7     14.5 41.27 18.08 41.27 -0.1020
## 299        3     1      9     10     10     16.0 79.74 65.01 79.74  0.7159
## 305        1     1      9      5      9     16.0 68.70 24.68 68.70  0.8086
## 306        3     1      6      6      6     12.0 53.15 56.50 56.50  0.2320
## 307        2     1      8      5      8     16.0 17.00 22.16 22.16  0.2607
## 311        1     1      5      5      5     12.0 31.08 13.87 31.08  1.3033
## 312        2     1      9      8      9     16.0 68.70 62.45 68.70  0.6023
## 315        2     1      7      7      7     14.5 26.64 39.02 39.02  0.7159
## 320        2     1      8      9      9     16.0 57.68 81.05 81.05  0.3344
## 322        2     1      6      8      8     16.0 47.83 16.36 47.83 -0.1177
## 326        2     1      8      7      8     16.0 60.29 11.56 60.29  0.3849
## 327        1     1      5      5      5     12.0 23.57 36.35 36.35  0.2320
## 330        1     1      5      5      5     12.0 19.66 51.01 51.01 -0.6259
## 333        3     1      2      5      5     12.0 19.66 22.77 22.77  0.5166
## 335        2     1      6      5      6     12.0 71.39 22.25 71.39 -0.3792
## 336        1     1      8      9      9     16.0 68.88 11.74 68.88  1.6873
## 338        3     1      9      8      9     16.0 75.50 57.03 75.50  1.3087
## 339        2     1      8      8      8     16.0 70.09 75.13 75.13  0.1891
## 344        2     1      9      5      9     16.0 65.01 18.13 65.01  0.7000
## 345        6     1      8      3      8     16.0 68.88 33.76 68.88 -0.3200
## 353        3     1      9      5      9     16.0 17.00 24.68 24.68  0.2546
## 356        1     1      8      8      8     16.0 68.70 68.70 68.70  0.1276
## 359        4     1      8      7      8     16.0 78.86 59.89 78.86  0.6324
## 361        2     1      8      8      8     16.0 81.13 60.92 81.13  0.1891
## 368        3     1      8      8      8     16.0 70.34 70.34 70.34  0.7427
## 377        1     1      9      9      9     16.0 73.91 75.50 75.50  0.7600
## 378        3     1      8      6      8     16.0 52.72 27.91 52.72  0.9217
## 383        3     0      8      8      8     16.0 75.25 63.31 75.25 -0.1700
## 384        2     0      8     10     10     16.0 68.70 88.70 88.70  0.8511
## 385        3     1      8      9      9     16.0 65.01 30.78 65.01  0.4484
## 386        3     1      9     10     10     16.0 86.72 85.41 86.72  1.4800
## 389        4     1      6      5      6     12.0 47.83 21.96 47.83 -0.6000
## 390        5     0      9      9      9     16.0 75.43 86.72 86.72  1.2125
## 392        3     1      8      9      9     16.0 66.42 86.72 86.72  2.5618
## 400        2     1      9      8      9     16.0 68.70 50.90 68.70 -1.4050
## 403        1     1     10      7     10     16.0 70.50 75.50 75.50  1.4800
## 404        2     1      9      8      9     16.0 44.92 59.89 59.89  0.3909
## 409        1     1      7      5      7     14.5 32.67 17.69 32.67  0.6349
## 411        3     0      8      8      8     16.0 88.31 51.56 88.31 -0.4301
## 412        3     0      8      8      8     16.0 77.88 62.45 77.88  1.1343
## 416        4     1      9      9      9     16.0 15.35 36.35 36.35  0.4787
## 420        2     1      9      9      9     16.0 73.38 73.38 73.38  1.0281
## 421        3     1      5      5      5     12.0 17.55 35.34 35.34  0.0463
## 425        1     1      5      5      5     12.0 43.85 25.95 43.85 -0.4438
## 426        2     1      8      8      8     16.0 27.25 40.54 40.54  1.4583
## 427        2     0      7      5      7     14.5 76.65 11.74 76.65 -0.0073
## 432        1     1      9      7      9     16.0 68.55 50.15 68.55  0.5166
## 433        2     1      5      5      5     12.0 53.15 65.12 65.12  0.7387
## 435        4     1      3      8      8     16.0 17.00 36.92 36.92  0.2801
## 436        2     0     10      9     10     16.0 84.14 62.39 84.14 -0.1590
## 439        3     1      8      6      8     16.0 57.64 39.45 57.64  0.8768
## 440        2     1      5      5      5     12.0 59.76 46.73 59.76 -0.4746
## 441        3     1      8      5      8     16.0 68.70 21.96 68.70  0.1816
## 448        1     1      3      2      3      9.0 25.04 22.77 25.04  1.0100
## 452        2     1      9      7      9     16.0 57.04 36.92 57.04  0.1403
## 457        3     1      8      5      8     16.0 23.80 55.25 55.25 -0.1622
## 463        2     1     10     10     10     16.0 68.70 65.12 68.70  1.4326
## 467        2     1      9      7      9     16.0 65.01 21.82 65.01 -0.2873
## 473        3     1      8      6      8     16.0 82.41 25.95 82.41  0.7159
## 478        3     1     10      5     10     16.0 65.42 15.35 65.42 -0.7123
## 481        2     1      9      6      9     16.0 21.64 60.92 60.92 -0.6205
## 485        3     0      5      5      5     12.0 73.38 65.12 73.38 -0.3109
## 487        4     0      6      9      9     16.0 31.08 59.35 59.35  1.0303
## 489        2     1      9      9      9     16.0 70.89 65.12 70.89 -0.1742
## 491        2     1     10      9     10     16.0 68.70 30.78 68.70  0.7213
## 493        3     1      5      5      5     12.0 17.00 28.12 28.12 -0.0136
## 496        2     1      5      7      7     14.5 56.57 51.50 56.57 -0.1020
## 504        1     1      2      3      3      9.0 33.76 27.81 33.76 -1.7465
## 506        1     1      6      6      6     12.0 35.34 71.39 71.39 -1.4484
## 510        2     1      1      5      5     12.0 16.80 79.49 79.49  0.3507
## 511        3     1      5      3      5     12.0 16.80 23.41 23.41  0.2320
## 512        2     1      8      9      9     16.0 59.76 79.05 79.05  0.4946
## 520        2     0      8     10     10     16.0 31.08 43.85 43.85 -0.5252
## 522        2     1     10      5     10     16.0 68.70 24.49 68.70 -1.8420
## 527        3     1      9     10     10     16.0 67.94 81.92 81.92  0.2292
## 529        1     1      6      5      6     12.0 68.70 61.82 68.70  0.6600
## 532        3     1      8      8      8     16.0 73.91 75.25 75.25  0.6731
## 533        2     1      3      3      3      9.0 71.39 17.53 71.39  0.8053
## 536        2     1      2      5      5     12.0 30.90 24.53 30.90 -0.1622
## 537        2     1      6      2      6     12.0 71.39 59.89 71.39  0.5092
## 545        2     1      9      3      9     16.0 68.70 27.81 68.70  0.3461
## 546        2     1      9      9      9     16.0 26.64 82.41 82.41 -0.3588
## 547        1     1      9      3      9     16.0 76.49 47.74 76.49  0.5349
## 548        2     0      8      5      8     16.0 52.72 30.78 52.72 -0.4745
## 549        3     1      5      5      5     12.0 17.00 19.66 19.66 -0.0073
## 550        3     1      8      7      8     16.0 43.85 28.52 43.85  0.3311
## 552        2     1      9      5      9     16.0 76.49 25.95 76.49  1.0285
## 563        3     1      8      8      8     16.0 81.92 86.72 86.72  1.9113
## 566        3     1      9     10     10     16.0 54.55 81.92 81.92  0.5035
## 570        2     1      8      8      8     16.0 68.70 28.48 68.70 -0.6055
## 572        3     1      9      5      9     16.0 58.77 79.49 79.49  0.4484
## 580        3     0      8      9      9     16.0 76.49 79.05 79.05  0.8245
## 584        1     1      8      8      8     16.0 17.00 25.95 25.95  0.2419
## 585        2     1     10      9     10     16.0 85.85 65.01 85.85  1.4650
## 602        2     1      9      6      9     16.0 26.64 27.91 27.91 -1.5237
## 604        3     1      5      3      5     12.0 16.38 22.75 22.75  0.1830
## 605        2     1      8      9      9     16.0 72.83 26.62 72.83 -0.3200
## 608        4     1      9      9      9     16.0 66.42 85.41 85.41  0.5500
## 612        2     1     10      8     10     16.0 67.94 81.40 81.40 -0.5191
## 614        4     0      9      8      9     16.0 81.13 65.01 81.13  1.5375
## 617        2     1      5      5      5     12.0 25.04 39.02 39.02 -0.6259
## 620        1     0      5      8      8     16.0 27.52 48.13 48.13  1.1343
## 627        4     1      8      8      8     16.0 56.00 73.71 73.71  2.7770
## 630        2     1      9      8      9     16.0 54.55 76.65 76.65  1.3869
## 632        3     0      8      8      8     16.0 62.39 51.25 62.39  1.0849
## 634        2     0      5      5      5     12.0 51.56 70.34 70.34  0.3085
## 635        2     0      8      9      9     16.0 68.88 71.55 71.55 -0.3302
## 641        3     1     10      8     10     16.0 68.70 65.01 68.70 -0.1320
## 644        1     1      8      6      8     16.0 24.79 31.72 31.72 -1.3073
## 647        1     1      5      3      5     12.0 71.39 15.35 71.39  0.5029
## 648        2     1      9      8      9     16.0 68.70 57.03 68.70  0.9135
## 659        4     1      7      7      7     14.5 71.39 71.39 71.39  0.5327
## 660        4     1      8      9      9     16.0 57.64 72.83 72.83  0.2320
## 661        3     1      9      5      9     16.0 75.54 70.50 75.54  1.3547
## 662        4     1      3      3      3      9.0 24.53 15.35 24.53  0.7863
## 665        3     0      8      9      9     16.0 68.55 58.07 68.55  0.6816
## 669        3     1      8      6      8     16.0 68.70 25.26 68.70 -0.7654
## 672        1     1     10      5     10     16.0 68.70 20.95 68.70  0.9686
## 673        4     1     10      6     10     16.0 68.70 44.92 68.70  0.1891
## 674        2     1      8      8      8     16.0 76.65 43.85 76.65 -0.1622
## 675        3     1      5      5      5     12.0 56.00 27.91 56.00 -0.1527
## 676        2     0      5      2      5     12.0 59.76 28.97 59.76 -0.1020
## 688        2     1      5      8      8     16.0 25.04 35.34 35.34  0.7159
## 689        2     1      5      5      5     12.0 51.01 20.95 51.01  0.2412
## 692        3     0      8      8      8     16.0 62.39 57.03 62.39  0.8511
## 693        2     1      2      5      5     12.0 14.21 21.96 21.96  1.0229
## 695        2     0      1      2      2      6.0 11.74 17.53 17.53 -1.6413
## 696        2     1      8     10     10     16.0 70.09 68.70 70.09  0.2325
## 699        2     0      9      5      9     16.0 74.66 78.69 78.69  0.7159
## 703        3     0      9      9      9     16.0 60.29 62.39 62.39  1.1343
## 704        2     1      8      6      8     16.0 52.72 62.39 62.39 -0.9079
## 706        3     1     10     10     10     16.0 44.92 28.52 44.92  1.4757
## 708        2     1      5      1      5     12.0 71.39 15.35 71.39 -0.3200
## 709        2     1      9      9      9     16.0 65.23 70.09 70.09  1.0020
## 714        2     1      9     10     10     16.0 68.88 79.05 79.05  0.4042
## 715        2     1     10      9     10     16.0 65.23 82.41 82.41 -0.1177
## 717        2     1      7      8      8     16.0 68.70 27.52 68.70 -0.6510
## 719        2     1      3      3      3      9.0 25.04 15.35 25.04 -0.8321
## 721        1     1     10     10     10     16.0 57.64 33.76 57.64  2.4008
## 722        2     1      8      5      8     16.0 70.50 14.57 70.50 -0.3588
## 724        3     1      8      7      8     16.0 39.02 71.29 71.29 -0.0877
## 725        3     1      9      8      9     16.0 80.46 74.66 80.46  0.1106
## 726        2     1      8      8      8     16.0 70.89 79.31 79.31  2.1042
## 730        1     0      8      5      8     16.0 17.00 36.92 36.92  1.5532
## 731        1     1      3      5      5     12.0 17.55 22.77 22.77  0.4207
## 733        3     1      9      8      9     16.0 71.39 21.96 71.39  1.5532
## 739        4     1      8      9      9     16.0 70.34 73.38 73.38  0.7159
## 743        2     1      5      5      5     12.0 24.98 70.50 70.50 -0.2027
## 744        2     0      5     10     10     16.0 26.64 68.70 68.70  1.0738
## 747        2     1      6      5      6     12.0 31.08 30.78 31.08  0.2473
## 753        1     1      7      3      7     14.5 25.95 30.78 30.78  0.0135
## 761        4     1      5      5      5     12.0 62.39 51.56 62.39  1.7774
## 766        1     0      7      3      7     14.5 59.45 65.42 65.42  0.0811
## 767        2     1      5      5      5     12.0 51.56 62.45 62.45  0.0400
## 771        2     1      9      3      9     16.0 57.00 17.00 57.00 -0.6172
## 772        1     1     10      9     10     16.0 65.01 46.38 65.01  0.7159
## 775        1     1      2      9      9     16.0 11.56 25.95 25.95 -0.1622
## 777        2     1     10      5     10     16.0 31.08 17.55 31.08 -1.0164
## 780        3     1     10      8     10     16.0 77.88 71.39 77.88  0.4484
## 781        2     1      8      8      8     16.0 25.20 16.36 25.20 -1.0153
## 782        2     1      8      9      9     16.0 42.30 73.38 73.38  0.4042
## 784        2     1      7      8      8     16.0 62.39 81.40 81.40  0.7500
## 785        4     1      8      8      8     16.0 44.94 65.12 65.12  0.7641
## 786        2     1      7      9      9     16.0 62.39 62.45 62.45  1.6565
## 788        3     1      3      3      3      9.0 31.08 62.39 62.39  1.7404
## 791        2     1      7      6      7     14.5 61.57 12.87 61.57 -0.5891
## 796        2     1      8      6      8     16.0 53.15 19.78 53.15  1.2039
## 798        3     1      8      8      8     16.0 66.42 63.31 66.42  1.6000
## 807        2     1      8      9      9     16.0 57.99 73.91 73.91  2.0240
## 810        1     1      6      5      6     12.0 17.00 78.86 78.86  1.6440
## 811        1     1      8      8      8     16.0 70.89 21.82 70.89  0.1891
## 813        3     1      7      7      7     14.5 27.52 76.65 76.65 -0.1320
## 815        2     1      7      6      7     14.5 68.70 36.35 68.70  0.7159
## 816        3     1     10      9     10     16.0 81.92 82.41 82.41  1.7786
## 818        1     1      5      2      5     12.0 52.72 22.57 52.72  0.4484
## 826        2     1     10      9     10     16.0 76.49 25.95 76.49  0.6259
## 829        2     1      7      7      7     14.5 31.08 59.89 59.89  0.8785
## 830        1     1      8     10     10     16.0 62.39 74.66 74.66  1.7078
## 834        3     1     10      8     10     16.0 81.92 59.89 81.92  1.1343
## 836        2     1      8      7      8     16.0 66.42 70.34 70.34  0.0100
## 840        1     1      5      5      5     12.0 13.24 20.91 20.91  0.8086
## 843        3     0      5      9      9     16.0 16.50 82.41 82.41  0.8511
## 846        3     0      9      9      9     16.0 79.74 74.66 79.74  0.2608
## 850        1     1     10      5     10     16.0 68.70 59.89 68.70  0.1693
## 852        1     1      8     10     10     16.0 60.29 27.81 60.29 -0.1122
## 853        1     1      1      5      5     12.0 16.38 30.78 30.78 -0.4924
## 862        2     1      7      5      7     14.5 76.65 57.68 76.65  0.8511
## 863        4     1      8      8      8     16.0 51.01 53.15 53.15  0.1428
## 864        2     1      7      5      7     14.5 53.15 25.06 53.15  0.7272
## 865        1     1      8      3      8     16.0 68.55 52.70 68.55  0.5869
## 874        4     1      9      8      9     16.0 76.49 58.07 76.49 -0.2500
## 876        3     1      6     10     10     16.0 57.99 53.15 57.00  1.4837
## 879        2     1      9      8      9     16.0 78.86 72.83 78.86  0.2320
## 881        3     1      8      8      8     16.0 11.56 16.34 16.34  0.4287
## 891        2     1      8      5      8     16.0 73.38 11.01 73.38  1.1370
## 892        2     1      8      5      8     16.0 68.70 36.35 68.70  1.2777
## 894        1     1      9      8      9     16.0 68.70 51.50 68.70  1.0020
## 896        3     1     10     10     10     16.0 75.13 74.66 75.13  0.4562
## 900        3     1      8      8      8     16.0 82.41 51.50 82.41  0.6800
## 908        2     1      8      7      8     16.0 75.54 62.39 75.54  0.2320
## 910        1     0      9      9      9     16.0 71.39 51.50 71.39  2.3526
## 911        3     1      9      5      9     16.0 82.41 27.91 82.41 -1.0502
## 913        2     1      8      9      9     16.0 74.66 74.66 74.66  0.2292
## 918        1     1      6      5      6     12.0 17.69 24.53 24.53 -0.3003
## 922        3     0      5      6      6     12.0 65.01 62.45 65.01  1.3547
## 923        1     1      5      5      5     12.0 44.14 29.16 44.14 -0.5191
## 927        1     1      1      1      1      3.0 31.08 33.76 33.76 -0.3003
## 932        0     1      5      6      6     12.0 24.98 30.78 30.78  0.4888
## 936        2     1      5      8      8     16.0 51.56 81.40 81.40  2.1571
## 937        2     1      9      9      9     16.0 65.01 82.41 82.41 -0.0605
## 940        3     1      5      5      5     12.0 43.85 27.91 43.85 -0.3850
## 948        2     0      5      6      6     12.0 39.02 24.85 39.02 -0.1083
## 949        2     1      5      1      5     12.0 16.50 25.26 25.26  0.5800
## 954        3     0     10     10     10     16.0 81.13 81.13 81.13 -0.1496
## 960        1     1      5      5      5     12.0 57.99 26.62 57.00 -0.3588
## 962        2     1      5      7      7     14.5 17.00 68.70 68.70 -0.6717
## 963        2     1      9      5      9     16.0 68.70 65.12 68.70 -0.1622
## 966        2     1      9      9      9     16.0 70.50 70.57 70.57 -0.8700
## 967        3     1     10     10     10     16.0 68.70 24.53 68.70 -1.1667
## 968        3     1      5      5      5     12.0 32.50 58.07 58.07 -0.1020
## 973        2     1      5      5      5     12.0 26.85 26.85 26.85  0.5153
## 974        2     1      3      3      3      9.0 31.08 27.81 31.08  1.0804
## 982        3     1      8      2      8     16.0 28.48 28.48 28.48 -1.0112
## 983        2     1      7      3      7     14.5 41.27 22.57 41.27  0.1891
## 987        2     1      6      7      7     14.5 17.00 65.01 65.01  0.0463
## 991        5     1      8      8      8     16.0 57.64 74.79 74.79  0.4207
## 995        2     1      5      5      5     12.0 16.38 22.77 22.77  0.1891
## 1001       2     1      3      3      3      9.0 16.38 25.94 25.94 -0.6000
## 1002       4     1      9      9      9     16.0 73.38 70.34 73.38  0.3344
## 1007       3     0      9      9      9     16.0 82.41 82.41 82.41  0.5666
## 1008       3     1      5      7      7     14.5 26.85 24.49 26.85  1.3413
## 1010       3     1      5      5      5     12.0 31.08 17.00 31.08  0.7912
## 1013       1     1      1      5      5     12.0 17.00 17.00 17.00  0.1939
## 1020       1     1      5      3      5     12.0 51.56 15.35 51.56 -0.2812
## 1021       2     0     10      8     10     16.0 82.41 71.55 82.41 -0.4646
## 1022       2     1      7      3      7     14.5 11.56 11.56 11.56  0.1891
## 1024       3     1      5      5      5     12.0 24.98 43.85 43.85 -0.6000
## 1027       3     1     10      9     10     16.0 78.86 41.27 78.86 -1.0792
## 1028       2     1      7      8      8     16.0 25.04 17.69 25.04  0.7653
## 1029       2     1      8      7      8     16.0 57.99 63.03 63.03  0.1403
## 1031       3     1      8      8      8     16.0 76.49 28.48 76.49  1.1500
## 1034       1     0      8      8      8     16.0 65.01 19.66 65.01  0.4946
## 1035       2     1     10      5     10     16.0 57.00 22.75 57.00  0.2619
## 1038       2     1      6      6      6     12.0 43.33 16.36 43.33  0.6887
## 1039       1     1      9      5      9     16.0 68.70 17.55 68.70  0.8105
## 1041       2     1      7      6      7     14.5 26.64 20.91 26.64  1.1605
## 1042       1     1      9      9      9     16.0 76.49 75.50 76.49  0.4222
## 1047       5     1      8      9      9     16.0 76.65 62.39 76.65  0.7374
## 1048       1     1      3      3      3      9.0 17.00 20.91 20.91 -0.8787
## 1052       2     1      5      9      9     16.0 17.00 53.77 53.77 -0.0073
## 1057       2     1      5      9      9     16.0 39.02 19.83 39.02 -0.4762
## 1061       2     1      8      8      8     16.0 76.49 63.31 76.49  0.8511
## 1065       1     1      3      3      3      9.0 56.00 33.76 56.00  0.2596
## 1070       2     1      2      2      2      6.0 14.64 11.56 14.64 -1.1374
## 1074       1     1      5      8      8     16.0 43.85 78.86 78.86 -1.1739
## 1080       1     1      9      8      9     16.0 58.07 59.89 59.89 -0.0877
## 1082       1     1      7      8      8     16.0 44.94 25.26 44.94 -0.1622
## 1084       2     1      5      5      5     12.0 17.00 52.72 52.72  1.6041
## 1091       2     1      8      5      8     16.0 70.89 73.91 73.91  0.2300
## 1095       3     1      9      9      9     16.0 68.70 82.41 82.41  0.1428
## 1100       2     1      6      5      6     12.0 81.13 20.91 81.13  1.1315
## 1109       3     1      9      8      9     16.0 85.85 57.68 85.85  1.0924
## 1112       5     1      5      5      5     12.0 58.07 68.55 68.55  0.4664
## 1116       2     0      3      7      7     14.5 17.00 70.34 70.34  0.4706
## 1125       3     1      8      8      8     16.0 73.38 60.29 73.38 -0.7017
## 1128       1     1      9      6      9     16.0 76.49 80.46 80.46  0.8006
## 1130       3     1     10      8     10     16.0 52.72 33.76 52.72  3.7685
## 1131       1     1      9      5      9     16.0 54.27 17.55 54.27  1.2777
## 1135       1     1      5      6      6     12.0 56.35 59.89 59.89  0.7159
## 1136       0     1      5      3      5     12.0 59.76 21.82 59.76  0.7150
## 1139       2     1      5      5      5     12.0 67.11 65.12 67.11  0.4668
## 1144       2     1      5      5      5     12.0 50.90 28.52 50.90 -0.1020
## 1145       1     0      5      5      5     12.0 68.70 60.44 68.70  0.5166
## 1146       2     1      3      6      6     12.0 32.20 59.89 59.89 -0.3200
## 1149       2     1      9      9      9     16.0 82.41 17.00 82.41  0.9159
## 1150       1     1      5      9      9     16.0 54.55 77.10 77.10 -0.3588
## 1152       3     1      9      9      9     16.0 70.34 65.01 70.34  0.1724
## 1154       3     0      9      8      9     16.0 44.94 56.64 56.64  1.4904
## 1160       1     1      1      3      3      9.0 16.38 77.10 77.10  0.8777
## 1161       2     1     10      6     10     16.0 68.70 25.95 68.70  0.0229
## 1162       2     1      8     10     10     16.0 17.00 81.92 81.92  0.2893
## 1166       3     1      9      9      9     16.0 82.41 78.86 82.41  1.1346
## 1167       4     0      8      5      8     16.0 65.12 74.66 74.66 -1.2016
## 1169       2     1      9      9      9     16.0 62.39 59.89 62.39  0.3924
## 1170       2     0      8      8      8     16.0 38.58 17.69 38.58  0.1588
## 1174       2     1      6      5      6     12.0 31.46 26.85 31.46 -0.2735
## 1179       2     1      7      8      8     16.0 29.32 53.15 53.15 -1.3015
## 1180       1     1      9      5      9     16.0 65.01 53.77 65.01  0.5869
## 1182       1     1      8      8      8     16.0 70.34 62.39 70.34 -0.6000
## 1185       2     1      9      3      9     16.0 56.00 17.00 56.00 -2.0250
## 1186       3     1      9      8      9     16.0 24.53 28.52 28.52  0.5224
## 1187       3     1      3      3      3      9.0 21.82 15.35 21.82 -0.0574
## 1193       5     1      9      9      9     16.0 75.43 71.55 75.43  0.2607
## 1198       4     0      8      9      9     16.0 79.74 78.86 79.74  2.1200
## 1199       3     1      8      5      8     16.0 88.70 43.85 88.70  0.6731
## 1202       3     1      8      5      8     16.0 76.49 24.80 76.49  0.2181
## 1204       2     1     10     10     10     16.0 88.70 65.12 88.70  1.9113
## 1206       2     1      2      2      2      6.0 16.50 25.95 25.95 -0.9103
## 1208       2     1      8      8      8     16.0 49.30 58.07 58.07  0.2028
## 1209       6     1      9      9      9     16.0 58.77 79.74 79.74  0.5500
## 1211       1     1      1      3      3      9.0 14.64 22.16 22.16 -0.6510
## 1212       2     0      8     10     10     16.0 70.40 88.31 88.31  0.3909
## 1221       3     1      9      9      9     16.0 52.72 57.97 57.97  1.1000
## 1222       3     0      7      7      7     14.5 14.21 15.35 15.35 -0.8091
## 1223       4     1      8      8      8     16.0 71.39 51.01 71.39  1.3540
## 1224       1     1      5      5      5     12.0 25.06 30.32 30.32  0.2473
## 1227       1     1      8      9      9     16.0 44.94 79.05 79.05 -0.1020
## 1228       3     1      8     10     10     16.0 62.13 88.31 88.31 -0.1303
## 1229       3     1      9      3      9     16.0 70.34 17.00 70.34  0.3535
## 1231       2     1      2      2      2      6.0 17.55 18.08 18.08 -0.1020
## 1235       1     0      9      6      9     16.0 68.55 27.91 68.55  1.6041
## 1236       1     0      9      6      9     16.0 58.77 74.66 74.66  0.3791
## 1242       2     1      5      5      5     12.0 57.68 58.07 58.07  0.4668
## 1243       2     0     10      9     10     16.0 81.13 30.78 81.13  0.5500
## 1244       2     1      6      6      6     12.0 24.98 77.88 77.88  0.8356
## 1245       3     1      9      9      9     16.0 46.76 25.95 46.76  1.5788
## 1246       4     0      5      3      5     12.0 17.00 58.07 58.07 -0.3003
## 1248       2     0      6      6      6     12.0 23.57 25.51 25.51 -0.3200
## 1249       3     1      8      5      8     16.0 48.10 15.35 48.10  0.0276
## 1253       2     1      5      9      9     16.0 39.02 70.50 70.50  0.5349
## 1258       2     0      5      5      5     12.0 54.55 22.77 54.55  0.4484
## 1260       2     0      6      7      7     14.5 17.00 33.66 33.66 -0.3588
## 1261       2     1      7      5      7     14.5 70.89 71.39 71.39  0.8000
## 1264       3     1      9      9      9     16.0 79.74 70.34 79.74  1.3087
## 1269       2     1      3      8      8     16.0 31.08 51.56 51.56  0.5166
## 1273       3     1      9      9      9     16.0 68.54 65.01 68.54 -0.0877
## 1274       2     1      8      6      8     16.0 53.15 75.43 75.43  0.7159
## 1278       3     0      9      9      9     16.0 65.01 59.89 65.01  0.3371
## 1279       3     1      9      5      9     16.0 53.15 30.78 53.15  0.2028
## 1283       1     1      3      1      3      9.0 25.04 23.63 25.04  0.2412
## 1284       3     1      8      6      8     16.0 26.64 30.78 30.78  0.7900
## 1285       2     1      8      9      9     16.0 76.49 69.24 76.49 -0.1496
## 1286       3     1      7      6      7     14.5 68.88 57.25 68.88  0.1637
## 1295       3     1      5      5      5     12.0 30.90 25.94 30.90  1.4326
## 1299       2     1      3      5      5     12.0 11.74 11.74 11.74 -0.3003
## 1307       1     1     10     10     10     16.0 26.85 30.78 30.78 -1.2660
## 1308       1     1      9      5      9     16.0 58.07 65.01 65.01 -0.3200
## 1311       3     1      7      6      7     14.5 16.50 27.91 27.91 -1.1474
## 1313       1     1      5      5      5     12.0 25.04 26.62 26.62 -0.3003
## 1319       2     1      2      3      3      9.0 16.50 43.85 43.85 -0.1083
## 1320       1     1      8      8      8     16.0 21.64 17.00 21.64  0.6800
## 1322       3     1      9      9      9     16.0 75.54 57.68 75.54 -0.0574
## 1323       3     1      9      8      9     16.0 70.89 78.86 78.86 -0.3201
## 1328       3     1      5      5      5     12.0 47.83 27.91 47.83  0.6709
## 1329       3     1      6      3      6     12.0 27.52 24.53 27.52 -0.4482
## 1338       2     1      7      6      7     14.5 51.56 17.69 51.56 -0.2535
## 1341       2     0      5      5      5     12.0 57.00 86.72 86.72 -1.1000
## 1343       3     1      8      7      8     16.0 68.70 30.78 68.70  0.5224
## 1344       2     1      7      8      8     16.0 39.02 24.09 39.02 -0.6709
## 1354       2     0      8     10     10     16.0 65.01 85.41 85.41  0.5349
## 1355       2     0      5      5      5     12.0 39.02 30.78 39.02  0.6600
## 1357       4     0      5      5      5     12.0 86.72 75.13 86.72  1.3721
## 1359       2     1      5      5      5     12.0 58.07 53.77 58.07 -0.6094
## 1364       3     1      8      9      9     16.0 70.89 68.88 70.89  0.6792
## 1366       3     1      5      5      5     12.0 39.02 22.77 39.02 -1.7926
## 1371       1     1      8      8      8     16.0 51.50 51.50 51.50  0.8771
## 1375       2     1      5      3      5     12.0 21.64 26.62 26.62  0.4600
## 1377       1     1      8      8      8     16.0 70.34 73.91 73.91  0.4803
## 1378       3     1      5      8      8     16.0 24.15 70.89 70.89  0.7600
## 1380       2     1      3      3      3      9.0 16.38 88.96 88.96 -0.6259
## 1381       2     1      7      8      8     16.0 17.00 70.34 70.34  0.2473
## 1383       3     1      8      8      8     16.0 79.74 70.34 79.74  0.4484
## 1385       2     1      7      7      7     14.5 54.55 55.03 55.03  1.1605
## 1392       2     1      9      9      9     16.0 68.70 46.38 68.70  0.8511
## 1393       2     1      8      8      8     16.0 79.74 78.86 79.74  1.4786
## 1395       2     1      8     10     10     16.0 57.04 61.91 61.91 -0.4073
## 1397       3     0      9      7      9     16.0 75.54 72.24 75.54  0.2320
## 1404       2     1      6      7      7     14.5 31.08 76.65 76.65  0.5253
## 1405       1     0      2      3      3      9.0 16.38 24.53 24.53  1.0351
## 1407       3     1      9     10     10     16.0 68.70 81.92 81.92  0.1891
## 1408       1     1     10      5     10     16.0 58.77 27.91 58.77 -0.6205
## 1411       2     1      5      5      5     12.0 39.02 62.39 62.39  0.5800
## 1415       2     1      8      9      9     16.0 17.00 65.01 65.01  0.8511
## 1417       5     1      8      8      8     16.0 68.70 78.86 78.86  0.6300
## 1420       1     1      8      9      9     16.0 49.30 58.07 58.07  1.3168
## 1422       4     1      8      7      8     16.0 57.37 30.78 57.37  0.3311
## 1424       3     1      3      6      6     12.0 33.76 19.78 33.76  0.7641
## 1427       3     1      8      8      8     16.0 51.56 58.07 58.07  0.0069
## 1429       1     1      2      5      5     12.0 14.21 59.89 59.89 -0.3003
## 1437       1     1      9      8      9     16.0 70.89 26.62 70.89  0.0100
## 1438       1     1      5      5      5     12.0 29.18 51.50 51.50 -0.6510
## 1440       3     0      9     10     10     16.0 75.43 73.91 75.43  1.1700
## 1442       2     1     10     10     10     16.0 68.88 82.41 82.41  0.7159
## 1443       2     1      8      9      9     16.0 88.31 74.66 88.31  0.7600
## 1445       1     1      8      5      8     16.0 24.98 35.34 35.34 -0.0877
## 1447       3     1      9      8      9     16.0 73.38 58.07 73.38  3.0882
## 1448       4     1      5      3      5     12.0 17.00 14.39 17.00  0.2804
## 1449       2     1     10     10     10     16.0 82.41 65.12 82.41  1.0462
## 1450       1     1      8      8      8     16.0 78.76 46.38 78.76 -0.4301
## 1451       5     1      8      6      8     16.0 42.30 14.57 42.30  1.0285
## 1452       1     1      9      8      9     16.0 21.64 25.95 25.95  1.5612
## 1458       2     1      8      5      8     16.0 65.01 51.50 65.01  0.8086
## 1459       1     0      6      5      6     12.0 81.13 50.15 81.13 -0.0861
## 1460       4     1      8      7      8     16.0 71.39 17.53 71.39  1.6393
## 1461       3     1      9      9      9     16.0 67.94 53.15 67.94  0.5291
## 1467       4     1      6     10     10     16.0 31.08 68.70 68.70 -0.3003
## 1470       2     0      9      8      9     16.0 68.70 21.82 68.70 -0.0882
## 1474       3     1      8      8      8     16.0 60.29 86.72 86.72  0.7159
## 1478       2     0      7      3      7     14.5 31.08 50.15 50.15  1.5936
## 1479       2     1      9      8      9     16.0 86.72 74.66 86.72  1.7227
## 1481       2     0      3      3      3      9.0 17.00 22.16 22.16 -0.8488
## 1484       2     1      5      9      9     16.0 25.04 77.10 77.10  0.1891
## 1485       3     1      5      5      5     12.0 54.55 16.36 54.55  0.5869
## 1486       2     0      8      8      8     16.0 88.70 76.65 88.70  1.6274
## 1488       3     1      5      5      5     12.0 17.00 23.80 23.80 -0.3527
## 1497       2     0      9      9      9     16.0 68.70 79.05 79.05  1.4326
## 1505       3     0      5      5      5     12.0 70.34 50.15 70.34  0.3568
## 1511       3     1      6      6      6     12.0 27.52 26.62 27.52 -0.0548
## 1514       2     1      7      6      7     14.5 62.13 71.39 71.39 -0.2067
## 1515       1     1      9      8      9     16.0 72.24 16.36 72.24  0.5224
## 1517       1     1      8      8      8     16.0 76.65 17.56 76.65  0.5349
## 1518       2     1      8      9      9     16.0 55.25 81.92 81.92  0.7374
## 1519       3     1     10     10     10     16.0 70.89 51.50 70.89 -0.0548
## 1522       1     1      8      8      8     16.0 65.01 59.89 65.01  0.6543
## 1523       1     1      5      5      5     12.0 21.64 28.52 28.52  0.4610
## 1524       2     1      8      8      8     16.0 70.50 29.16 70.50  0.1891
## 1527       2     1      9      9      9     16.0 76.49 82.41 82.41  1.7867
## 1531       2     1      8      2      8     16.0 32.20 24.45 32.20  0.3311
## 1532       1     1      1      2      2      6.0 17.69 11.74 17.69 -0.7849
## 1533       1     1      9      6      9     16.0 68.88 53.77 68.88  0.4042
## 1534       1     0      8      7      8     16.0 68.88 25.26 68.88 -0.3302
## 1540       1     0      5      5      5     12.0 48.10 82.31 82.31  0.2028
## 1541       2     0      9      9      9     16.0 68.70 53.77 68.70  1.5532
## 1543       2     1      3      2      3      9.0 24.53 27.91 27.91  0.1891
## 1549       3     1      9      9      9     16.0 75.43 59.89 75.43  1.7404
## 1550       2     1      9      9      9     16.0 55.25 79.74 79.74  0.0100
## 1558       2     1      5      5      5     12.0 51.56 51.56 51.56 -1.1800
## 1565       1     1      7      5      7     14.5 26.85 17.56 26.85 -0.0674
## 1573       2     0      8      8      8     16.0 28.48 70.34 70.34 -0.6205
## 1576       4     1      5      5      5     12.0 50.15 18.08 50.15 -1.0068
## 1582       4     1      9      9      9     16.0 75.43 75.54 75.54  0.7159
## 1586       2     1      5      5      5     12.0 28.48 73.38 73.38 -0.3003
## 1588       5     1      5      9      9     16.0 60.29 65.01 65.01  1.7918
## 1591       4     0      8      6      8     16.0 76.65 43.85 76.65  0.7430
## 1592       1     1      7      9      9     16.0 68.88 50.15 68.88  0.5567
## 1593       3     1      8      6      8     16.0 68.70 20.35 68.70  0.6887
## 1602       1     1      9      9      9     16.0 68.70 76.65 76.65  1.7132
## 1605       2     1      6      3      6     12.0 16.36 33.76 33.76  0.0225
## 1608       4     1      9      6      9     16.0 88.31 11.74 88.31  1.5107
## 1611       3     0      6      5      6     12.0 31.08 75.13 75.13 -0.6046
## 1612       4     0      9      6      9     16.0 66.42 36.35 66.42  0.2320
## 1618       3     1      7      8      8     16.0 70.89 67.94 70.89 -0.8430
## 1619       3     1      3      2      3      9.0 16.38 21.96 21.96 -0.2812
## 1623       2     1      8      8      8     16.0 73.91 17.00 73.91  0.5500
## 1627       2     1      9      9      9     16.0 68.70 13.35 68.70 -0.6094
## 1628       3     1      5      5      5     12.0 65.01 60.92 65.01  0.8486
## 1630       4     1      5      5      5     12.0 28.48 37.83 37.83  0.2900
## 1632       2     1      8      6      8     16.0 50.37 30.47 50.37 -0.8089
## 1636       6     1      9      9      9     16.0 57.00 73.38 73.38  1.2039
## 1641       2     1      5      5      5     12.0 28.97 28.97 28.97  0.1100
## 1650       2     1     10      5     10     16.0 76.98 23.80 76.98 -0.6458
## 1655       3     0      5      5      5     12.0 17.00 17.56 17.56 -0.6259
## 1658       2     1      5      5      5     12.0 16.50 26.62 26.62 -1.2267
## 1659       3     1      3      3      3      9.0 65.01 33.76 65.01 -1.0843
## 1664       2     1      8     10     10     16.0 17.00 66.42 66.42 -0.0371
## 1666       3     1      5      5      5     12.0 17.00 88.70 88.70 -0.3200
## 1668       4     1      8      8      8     16.0 58.77 62.39 62.39 -0.8091
## 1671       2     1      5      8      8     16.0 30.90 81.40 81.40  0.8220
## 1673       1     0      8      8      8     16.0 29.47 35.34 35.34  0.5500
## 1674       2     1      9      9      9     16.0 57.04 62.45 62.45  3.0367
## 1677       1     1      3      8      8     16.0 17.53 71.55 71.55 -0.0343
## 1680       2     1      8      6      8     16.0 68.70 36.35 68.70  0.8356
## 1681       5     1     10      5     10     16.0 25.20 14.21 25.20 -0.0073
## 1684       2     1      9     10     10     16.0 65.12 78.86 78.86  1.1605
## 1686       1     1      6      5      6     12.0 31.08 51.63 51.63 -0.3588
## 1689       3     1      8      9      9     16.0 43.85 74.66 74.66 -0.3200
## 1690       1     1      1      1      1      3.0 17.00 11.74 17.00 -0.3839
## 1698       2     0      8     10     10     16.0 62.39 85.41 85.41  0.7430
## 1699       1     1      8      7      8     16.0 56.64 33.76 56.64  0.8511
## 1702       4     1      5      3      5     12.0 26.64 36.92 36.92 -0.3003
## 1704       3     1      6      8      8     16.0 66.42 74.66 74.66  1.1605
## 1706       2     0      9      9      9     16.0 76.49 14.57 76.49  0.7688
## 1711       1     0      9      7      9     16.0 74.79 80.78 80.78  1.4700
## 1713       1     1      8      8      8     16.0 54.86 20.91 54.86  0.8725
## 1715       2     1     10      9     10     16.0 75.54 62.39 75.54 -0.5829
## 1718       3     1      8      9      9     16.0 76.49 81.40 81.40 -0.3200
## 1720       1     1      9      8      9     16.0 86.72 57.03 86.72  0.6453
## 1723       2     0      8      9      9     16.0 68.88 74.66 74.66  0.8006
## 1724       1     1      2      3      3      9.0 35.34 26.64 35.34  1.2625
## 1725       3     1      7      8      8     16.0 51.56 75.13 75.13  0.5052
## 1740       1     1      7      5      7     14.5 59.89 24.49 59.89  0.6324
## 1747       1     1      8      9      9     16.0 62.39 62.39 62.39  0.7810
## 1749       1     0      6      5      6     12.0 68.70 81.40 81.40  0.6116
## 1751       1     1      2      1      2      6.0 17.00 17.53 17.53 -0.2571
## 1754       1     0      5      5      5     12.0 16.50 17.00 17.00  0.0655
## 1758       2     1      7      8      8     16.0 28.48 20.78 28.48 -0.0826
## 1761       2     1      8      6      8     16.0 65.12 21.82 65.12 -0.1632
## 1764       3     1      3      3      3      9.0 17.00 28.52 28.52 -1.7600
## 1769       2     1      5      5      5     12.0 60.29 28.52 60.29  1.7078
## 1770       3     1      9      5      9     16.0 82.41 17.00 82.41 -0.1622
## 1773       2     1      8      8      8     16.0 62.13 58.07 62.13  1.7387
## 1776       3     1      6      5      6     12.0 27.91 40.54 40.54  0.7272
## 1779       2     1      8      8      8     16.0 79.74 79.74 79.74  1.4126
## 1780       3     1      9      9      9     16.0 70.50 70.89 70.89  0.2578
## 1781       2     0      9      9      9     16.0 70.09 62.39 70.09 -0.3200
## 1782       2     0      5      5      5     12.0 65.01 65.01 65.01  1.3033
## 1786       1     0      9      5      9     16.0 57.00 44.14 57.00 -0.3200
## 1787       3     1      9      5      9     16.0 76.49 86.72 86.72 -0.6510
## 1788       2     1      8      7      8     16.0 70.50 28.52 70.50 -1.1374
## 1789       2     1      1      1      1      3.0 17.85 18.13 18.13 -0.3588
## 1792       2     1      9      9      9     16.0 52.72 80.78 80.78  2.2220
## 1794       2     1      9      9      9     16.0 26.64 43.76 43.76  0.6728
## 1799       3     1      9      5      9     16.0 70.89 31.15 70.89 -0.3588
## 1803       3     0      5      5      5     12.0 82.31 81.92 82.31  0.3924
## 1812       1     1      5      5      5     12.0 17.55 58.07 58.07  0.8511
## 1819       1     1      3      2      3      9.0 24.53 24.53 24.53  0.5500
## 1823       3     1      8      7      8     16.0 65.01 36.92 65.01 -0.1303
## 1830       3     0      5      5      5     12.0 39.02 51.50 51.50 -0.1700
## 1832       2     1      9      8      9     16.0 70.89 37.83 70.89  0.3628
## 1837       1     1      7      8      8     16.0 31.08 31.08 31.08 -0.6000
## 1839       2     1      1      1      1      3.0 16.38 20.91 20.91 -0.3200
## 1841       5     1      7      5      7     14.5 62.13 81.40 81.40  0.3139
## 1843       2     0      3      2      3      9.0 24.98 33.76 33.76 -0.5191
## 1844       2     1      7     10     10     16.0 17.00 86.72 86.72 -1.2931
## 1846       2     1      5      5      5     12.0 74.79 59.89 74.79  1.1605
## 1847       3     1      5      5      5     12.0 25.04 12.87 25.04  0.7932
## 1848       2     1      8      9      9     16.0 68.70 65.01 68.70  0.7079
## 1851       1     1     10      9     10     16.0 68.70 11.74 68.70 -0.8700
## 1857       2     1      6      5      6     12.0 88.70 59.89 88.70 -0.1320
## 1858       5     1     10     10     10     16.0 21.64 67.94 67.94  0.8511
## 1859       1     1      9      5      9     16.0 50.90 63.31 63.31 -1.0787
## 1870       1     1     10      6     10     16.0 39.04 25.45 39.04 -0.3003
## 1877       3     1      5      5      5     12.0 25.04 49.48 49.48 -1.6292
## 1879       3     0      9      8      9     16.0 85.41 70.89 85.41  0.7430
## 1883       2     1      6      9      9     16.0 28.48 78.86 78.86 -0.8158
## 1886       5     1      8      9      9     16.0 52.72 37.83 52.72 -0.3724
## 1887       1     1      6      3      6     12.0 44.92 15.35 44.92 -0.4144
## 1890       2     1      6      6      6     12.0 26.64 23.80 26.64  1.3441
## 1891       3     1      8      5      8     16.0 44.94 25.95 44.94 -0.4552
## 1900       2     1      2      2      2      6.0 16.38 20.91 20.91 -0.8100
## 1902       2     1      5      5      5     12.0 81.92 88.70 88.70  1.5413
## 1903       4     1      9      8      9     16.0 62.39 75.54 75.54  1.0614
## 1904       4     1      9      5      9     16.0 17.00 26.62 26.62  1.5616
## 1907       1     1      7      5      7     14.5 31.08 31.08 31.08  1.1370
## 1908       3     1      9      5      9     16.0 76.65 15.35 76.65  1.0726
## 1910       3     1      8      9      9     16.0 72.83 75.50 75.50  0.4060
## 1911       4     1      8      5      8     16.0 53.15 28.48 53.15  1.0020
## 1912       2     0     10     10     10     16.0 75.54 86.72 86.72  3.3852
## 1915       4     1      8      9      9     16.0 68.70 79.74 79.74  0.1891
## 1917       2     1     10      5     10     16.0 68.70 51.01 68.70  0.0700
## 1918       2     1      5      5      5     12.0 26.85 30.78 30.78 -0.8929
## 1921       3     1      8      7      8     16.0 71.39 73.38 73.38  0.5501
## 1927       1     1      8      9      9     16.0 35.34 63.31 63.31 -0.3926
## 1928       3     1      9      6      9     16.0 68.70 32.50 68.70 -0.0574
## 1929       3     1      8      8      8     16.0 50.57 62.39 62.39  0.0811
## 1933       4     1      8      8      8     16.0 62.45 81.40 81.40  0.8511
## 1934       3     1      7      1      7     14.5 75.54 25.95 75.54 -0.8787
## 1937       2     1      9      5      9     16.0 70.34 17.55 70.34  1.6015
## 1941       3     1      8      8      8     16.0 76.49 72.30 76.49 -0.4482
## 1943       3     1      5      5      5     12.0 17.00 22.75 22.75  0.1891
## 1950       3     1      8      5      8     16.0 74.66 78.86 78.86  1.1605
## 1953       1     1      9      9      9     16.0 70.50 78.76 78.76 -0.1020
## 1954       1     0      5      5      5     12.0 25.04 51.56 51.56  0.3311
## 1956       2     1      3      3      3      9.0 17.00 24.53 24.53  0.2412
## 1959       1     1      9      5      9     16.0 82.41 15.35 82.41  0.2320
## 1961       2     1      7      8      8     16.0 68.70 46.38 68.70  0.6600
## 1963       1     1      8      7      8     16.0 79.74 71.39 79.74  0.5224
## 1965       2     1      8      8      8     16.0 70.50 48.13 70.50 -0.8091
## 1966       1     0      9     10     10     16.0 71.39 88.70 88.70  3.7408
## 1968       3     1      8      7      8     16.0 78.86 61.07 78.86  0.6055
## 1970       2     0      3      7      7     14.5 17.00 30.34 30.34  0.0035
## 1971       1     1      9      6      9     16.0 54.92 35.34 54.92 -0.2508
## 1975       2     1      9      8      9     16.0 77.88 58.07 77.88  0.7000
## 1980       2     1      5     10     10     16.0 24.98 57.03 57.03 -0.2067
## 1981       3     1     10      8     10     16.0 75.43 72.24 75.43  0.3624
## 1987       2     1      9      9      9     16.0 86.72 68.54 86.72  1.2600
## 1989       2     1      1      3      3      9.0 31.08 28.52 31.08 -0.0877
## 1991       1     0      9      5      9     16.0 76.49 30.78 76.49 -0.8022
## 1992       3     1      8      8      8     16.0 20.91 65.12 65.12  0.7159
## 1994       1     0      9      9      9     16.0 76.65 74.66 76.65  0.8068
## 1996       2     1      8      9      9     16.0 85.13 77.10 85.13  0.8511
## 1999       2     1      7      5      7     14.5 59.76 57.03 59.76  2.1231
## 2002       4     1      5     10     10     16.0 73.38 61.91 73.38  0.7263
## 2004       4     1     10      8     10     16.0 65.01 47.74 65.01  0.2140
## 2006       1     1      9      8      9     16.0 43.85 36.92 43.85  0.7159
## 2009       4     1     10      8     10     16.0 68.70 25.95 68.70  1.4126
## 2011       2     1      9      5      9     16.0 24.98 25.95 25.95 -0.3003
## 2018       3     1      8      9      9     16.0 86.72 50.15 86.72  0.8961
## 2022       2     0      8      5      8     16.0 80.78 72.30 80.78 -0.3527
## 2030       3     1      6      8      8     16.0 57.03 19.41 57.03  0.5800
## 2033       2     1      5      8      8     16.0 30.90 59.89 59.89 -0.0073
## 2040       4     1      9      9      9     16.0 65.01 79.05 79.05  0.7159
## 2048       2     0      9      9      9     16.0 76.49 86.72 86.72  1.4876
## 2052       1     1      7      8      8     16.0 56.00 19.20 56.00 -1.1413
## 2057       1     1      5      5      5     12.0 17.00 33.76 33.76 -0.2067
## 2060       2     1     10     10     10     16.0 68.70 57.03 68.70  1.1165
## 2062       2     1      6      6      6     12.0 76.65 64.44 76.65  0.6543
## 2068       1     0      5      5      5     12.0 48.10 22.79 48.10 -0.0581
## 2069       3     0     10      9     10     16.0 68.70 51.50 68.70  1.1084
## 2076       2     1      1      1      1      3.0 21.82 11.74 21.82 -1.0153
## 2077       1     1      8      6      8     16.0 48.66 70.09 70.09  0.6608
## 2084       5     1      9      9      9     16.0 75.54 21.08 75.54  0.5612
## 2092       2     1     10      7     10     16.0 68.70 47.74 68.70  0.5869
## 2095       2     1      3      5      5     12.0 32.20 23.96 32.20 -0.6259
## 2098       2     1     10      9     10     16.0 76.98 55.96 76.98  0.6543
## 2102       2     1      5      8      8     16.0 17.00 43.85 43.85  0.4011
## 2103       1     0      2      9      9     16.0 88.70 27.91 88.70  0.3311
## 2104       2     1     10     10     10     16.0 52.72 57.03 57.03  0.5869
## 2108       1     1      2      3      3      9.0 11.74 11.74 11.74 -1.4034
## 2116       2     0      5     10     10     16.0 61.82 16.50 61.82 -0.6960
## 2117       4     1      5      6      6     12.0 25.04 17.00 25.04 -1.7023
## 2123       1     0      9     10     10     16.0 75.54 85.85 85.85  0.1403
## 2127       3     1      5      5      5     12.0 39.02 27.81 39.02 -1.0503
## 2138       3     1      2      3      3      9.0 16.38 25.26 25.26 -1.2231
## 2141       2     1      8      9      9     16.0 51.01 86.72 86.72 -0.3200
## 2146       2     1      8      5      8     16.0 71.39 71.39 71.39 -0.0517
## 2147       1     1      5      5      5     12.0 68.70 25.95 68.70  0.5349
## 2156       6     1      6      6      6     12.0 31.08 16.34 31.08  2.1913
## 2157       2     0      7      6      7     14.5 65.12 65.12 65.12 -0.0674
## 2159       5     1     10     10     10     16.0 68.70 68.70 68.70  0.2607
## 2162       3     0     10      8     10     16.0 68.70 26.64 68.70  2.0755
## 2164       2     1      3      9      9     16.0 30.90 36.35 36.35  1.2831
## 2165       2     1     10     10     10     16.0 76.49 67.94 76.49  1.0292
## 2170       3     1      5      5      5     12.0 70.34 59.89 70.34  0.5212
## 2173       2     1      3      2      3      9.0 24.98 30.78 30.78 -0.3400
## 2175       1     0      2      2      2      6.0 17.00 13.24 17.00 -0.0574
## 2177       2     1      9      6      9     16.0 73.91 57.03 73.91 -0.3200
## 2179       2     1      6      5      6     12.0 35.34 26.64 35.34  0.1341
## 2181       2     1      8      9      9     16.0 74.70 74.66 74.70 -0.3200
## 2183       2     1     10      3     10     16.0 59.89 59.89 59.89 -0.3926
## 2184       1     1     10      8     10     16.0 68.70 25.95 68.70  1.0020
## 2185       1     1      8      5      8     16.0 47.83 17.69 47.83 -0.7180
## 2189       1     1      9      5      9     16.0 26.64 68.54 68.54  0.5800
## 2196       2     1      8      5      8     16.0 43.85 71.39 71.39  0.2473
## 2197       5     1      9      9      9     16.0 62.39 86.72 86.72  1.4126
## 2200       1     1      1      1      1      3.0 16.80 22.16 22.16  0.4426
## 2203       2     1      7      5      7     14.5 26.64 36.35 36.35  0.3909
## 2205       1     1      3      2      3      9.0 21.82 21.96 21.96  0.4343
## 2210       2     1      5      8      8     16.0 16.36 16.80 16.80 -0.4183
## 2212       3     0      8      6      8     16.0 52.72 25.95 52.72 -0.1067
## 2216       3     1      9      8      9     16.0 68.70 74.66 74.66 -0.1320
## 2218       2     1      1      2      2      6.0 11.56 25.95 25.95 -1.2949
## 2219       2     0      1      5      5     12.0 60.29 26.85 60.29 -0.0877
## 2223       3     1      8      7      8     16.0 39.02 17.00 39.02 -0.0103
## 2231       2     1      9      8      9     16.0 75.54 62.45 75.54  0.3762
## 2233       1     0      8      8      8     16.0 70.34 27.91 70.34  1.4544
## 2239       2     1      7      8      8     16.0 46.76 82.41 82.41 -0.2918
## 2241       3     1      3      3      3      9.0 17.55 38.80 38.80  0.1248
## 2252       3     1      9      9      9     16.0 82.41 76.65 82.41 -0.6000
## 2255       5     1      9      9      9     16.0 73.91 79.49 79.49  0.3507
## 2259       3     1      8     10     10     16.0 66.42 30.59 66.42  0.4229
## 2260       3     1      6      5      6     12.0 70.89 25.26 70.89 -0.0073
## 2262       2     1      6      8      8     16.0 39.02 31.08 39.02  1.4326
## 2268       3     1     10     10     10     16.0 48.66 33.66 48.66 -0.2571
## 2272       4     1      8      8      8     16.0 39.02 30.59 39.02  0.3344
## 2274       2     1      8      8      8     16.0 43.85 70.34 70.34  0.6731
## 2275       2     1      5      3      5     12.0 54.55 57.03 57.03  0.1891
## 2277       2     1      5      5      5     12.0 17.00 27.91 27.91 -1.8255
## 2278       4     1      8      5      8     16.0 21.64 30.78 30.78  0.6700
## 2281       2     1      3      5      5     12.0 30.90 18.13 30.90  0.6731
## 2286       5     1      5      8      8     16.0 65.01 40.56 65.01 -0.0574
## 2287       2     1      9      9      9     16.0 62.39 78.86 78.86  0.2867
## 2289       2     1      3      3      3      9.0 14.57 71.39 71.39 -0.6055
## 2290       2     1      8      8      8     16.0 71.39 76.65 76.65 -0.6878
## 2293       2     1      9      9      9     16.0 68.70 78.86 78.86 -0.0574
## 2294       1     1      8      7      8     16.0 76.65 30.78 76.65 -0.1559
## 2295       3     1      9      9      9     16.0 38.88 79.05 79.05  0.4729
## 2296       3     1      7      6      7     14.5 59.76 75.13 75.13 -0.1020
## 2300       3     1      5      5      5     12.0 24.53 30.78 30.78  0.1168
## 2302       2     1      3      5      5     12.0 16.38 17.56 17.56 -0.4482
## 2303       5     1      8      9      9     16.0 70.50 17.00 70.50 -0.8647
## 2304       2     1     10      8     10     16.0 51.01 30.78 51.01  1.5532
## 2308       1     1     10     10     10     16.0 26.64 26.64 26.64 -1.2434
## 2309       3     1      8      7      8     16.0 44.92 26.85 44.92  1.1900
## 2312       2     1     10      9     10     16.0 70.89 17.00 70.89  0.8006
## 2319       1     0      9      9      9     16.0 86.72 71.39 86.72  1.0285
## 2325       2     1      6      5      6     12.0 61.91 74.79 74.79 -0.1320
## 2329       2     0      8      8      8     16.0 82.41 57.03 82.41  1.0020
## 2330       2     1     10     10     10     16.0 70.89 81.92 81.92  0.2000
## 2333       2     1      6      6      6     12.0 26.64 70.50 70.50  0.6324
## 2338       1     1      8      9      9     16.0 63.31 56.03 63.31 -0.8741
## 2339       3     1      9      9      9     16.0 68.70 79.05 79.05  0.6890
## 2342       2     1      9      8      9     16.0 68.70 74.66 74.66  0.5624
## 2343       2     1     10     10     10     16.0 47.74 58.07 58.07  1.7743
## 2344       2     1      8      8      8     16.0 62.39 57.03 62.39  0.3344
## 2351       2     1      8      8      8     16.0 68.88 75.13 75.13  1.9651
## 2352       1     0      9      9      9     16.0 57.99 37.22 57.00 -0.2812
## 2357       2     1      8     10     10     16.0 76.65 85.41 85.41  0.3924
## 2363       2     1     10      9     10     16.0 65.01 65.01 65.01  0.5500
## 2365       3     1     10      8     10     16.0 73.38 53.77 73.38  0.6400
## 2373       2     1     10      9     10     16.0 86.72 54.86 86.72 -0.0073
## 2374       3     1      8      5      8     16.0 14.21 30.78 30.78  0.1106
## 2381       3     1      8      9      9     16.0 43.85 30.78 43.85  0.1810
## 2383       2     1      5      9      9     16.0 60.29 78.86 78.86  0.7333
## 2388       3     1     10      6     10     16.0 44.92 17.69 44.92 -0.6000
## 2391       2     1      5      6      6     12.0 67.94 30.78 67.94 -0.8100
## 2394       2     1      5      8      8     16.0 35.34 31.08 35.34 -0.5855
## 2398       3     1      9      9      9     16.0 51.01 82.41 82.41  0.5838
## 2400       2     1      5      8      8     16.0 57.68 77.19 77.19 -0.4482
## 2402       3     1      9      6      9     16.0 88.70 25.06 88.70 -0.2000
## 2403       2     1      9      9      9     16.0 75.54 81.13 81.13  0.7610
## 2405       2     0      8      5      8     16.0 65.12 28.48 65.12  0.5869
## 2406       4     1      8      8      8     16.0 44.94 74.66 74.66  0.2320
## 2411       2     1      3      3      3      9.0 17.55 28.52 28.52 -1.3707
## 2412       4     1      7      6      7     14.5 39.02 15.35 39.02 -0.5168
## 2415       5     1      8      8      8     16.0 62.39 74.66 74.66  0.1891
## 2418       2     1      6      5      6     12.0 51.56 23.80 51.56  0.3371
## 2419       1     1      3      3      3      9.0 18.95 11.74 18.95  1.6300
## 2420       3     1      9      6      9     16.0 41.27 29.16 41.27  2.0700
## 2423       2     1      5      5      5     12.0 43.85 14.57 43.85 -0.6259
## 2427       2     1      9      5      9     16.0 17.55 22.75 22.75  0.4764
## 2428       3     1     10      9     10     16.0 61.60 68.88 68.88  0.5482
## 2430       2     1      9      9      9     16.0 58.77 62.39 62.39  0.4484
## 2432       1     1      8      8      8     16.0 70.40 74.66 74.66  1.1012
## 2433       3     0      9      5      9     16.0 79.49 30.90 79.49  1.1084
## 2435       2     1      9      9      9     16.0 17.00 88.70 88.70  0.8724
## 2439       2     1      5      5      5     12.0 25.04 25.26 25.26 -0.3003
## 2440       2     1      8      9      9     16.0 30.90 81.92 81.92  1.2247
## 2441       2     1      3      5      5     12.0 16.50 43.85 43.85  3.2153
## 2448       2     1     10     10     10     16.0 88.70 35.34 88.70  1.4608
## 2449       3     0      8      8      8     16.0 68.88 79.74 79.74 -0.5191
## 2450       2     1      7      8      8     16.0 57.04 81.92 81.92  0.7159
## 2453       3     1      5      5      5     12.0 58.77 76.65 76.65  0.1830
## 2454       2     1      9     10     10     16.0 63.03 57.99 63.03  0.9473
## 2457       1     1      9      5      9     16.0 65.01 58.07 65.01  0.4721
## 2462       3     1      8      9      9     16.0 17.00 88.70 88.70  1.3033
## 2467       4     1      9      9      9     16.0 70.40 77.10 77.10 -0.2544
## 2470       2     1      2      1      2      6.0 23.47 23.47 23.47  0.5869
## 2476       1     1      8      8      8     16.0 57.04 83.50 83.50  0.7159
## 2477       1     1      8      5      8     16.0 43.85 24.53 43.85 -1.3460
## 2478       2     1      8      5      8     16.0 53.15 57.03 57.03 -1.3015
## 2480       3     1      9      5      9     16.0 78.86 65.12 78.86  0.8771
## 2483       3     1      9      5      9     16.0 70.50 52.72 70.50  0.6293
## 2484       1     1      8      8      8     16.0 65.01 56.64 65.01  0.1891
## 2490       2     1      3      2      3      9.0 24.53 33.76 33.76 -0.7123
## 2494       2     1     10     10     10     16.0 68.70 57.99 68.70  1.0592
## 2497       5     1      9      9      9     16.0 65.01 80.46 80.46  0.0100
## 2502       2     1      9     10     10     16.0 85.41 74.66 85.41  0.8511
## 2504       3     1      9      5      9     16.0 76.49 58.07 76.49 -0.1622
## 2505       1     1      7      6      7     14.5 53.15 75.43 75.43  0.6731
## 2513       1     1      8      8      8     16.0 14.21 24.09 24.09  0.6216
## 2519       1     1      5      5      5     12.0 43.85 22.77 43.85 -0.1496
## 2522       3     1      5      5      5     12.0 65.01 51.50 65.01 -0.3200
## 2527       2     1      1      5      5     12.0 17.00 27.91 27.91 -0.2768
## 2528       2     0      2      3      3      9.0 35.34 26.62 35.34  1.6868
## 2529       3     1      8      7      8     16.0 71.39 33.76 71.39  1.6041
## 2534       4     1      8      8      8     16.0 68.70 76.98 76.98 -0.1020
## 2537       2     1      6      6      6     12.0 31.08 50.15 50.15  0.3624
## 2540       4     1      8      7      8     16.0 72.83 72.83 72.83  0.8771
## 2544       3     1      6      6      6     12.0 65.01 59.89 65.01  1.2422
## 2547       2     0      9      8      9     16.0 76.49 51.50 76.49  1.1605
## 2550       2     1      7      8      8     16.0 68.70 66.42 68.70 -0.3003
## 2551       4     0      8      8      8     16.0 68.70 25.26 68.70  1.4326
## 2563       2     1      6      2      6     12.0 31.08 48.66 48.66  0.7430
## 2564       3     1      6      5      6     12.0 47.83 25.95 47.83 -0.0073
## 2565       2     1      9      7      9     16.0 68.70 70.40 70.40 -0.3588
## 2566       1     1      5      5      5     12.0 14.21 27.91 27.91 -0.2812
## 2567       2     0      7     10     10     16.0 76.65 85.41 85.41  0.2835
## 2569       2     1     10      2     10     16.0 27.52 24.53 27.52 -1.5122
## 2577       2     1      5      5      5     12.0 75.54 68.54 75.54 -1.2026
## 2578       1     1      5      5      5     12.0 19.66 47.74 47.74  0.5567
## 2580       3     0      8      9      9     16.0 80.46 86.72 86.72  0.4293
## 2581       3     1      9      5      9     16.0 86.72 86.72 86.72  1.2530
## 2583       2     1      5      8      8     16.0 54.92 71.39 71.39 -1.4600
## 2588       2     1      8      9      9     16.0 76.65 30.32 76.65  1.2031
## 2589       2     1      5      8      8     16.0 74.66 59.35 74.66  0.7333
## 2593       2     1      9      8      9     16.0 76.49 24.98 76.49  1.5638
## 2595       3     1     10      8     10     16.0 68.70 65.01 68.70 -0.4263
## 2597       4     1      9      9      9     16.0 68.70 43.85 68.70  0.5224
## 2599       1     1      9      9      9     16.0 57.03 72.83 72.83  0.5166
## 2602       6     1      9      7      9     16.0 68.70 62.45 68.70  0.1106
## 2603       2     1      5      5      5     12.0 27.91 21.13 27.91  0.7810
## 2604       1     1     10      9     10     16.0 68.70 65.01 68.70  0.8511
## 2612       3     1      5      3      5     12.0 16.38 21.82 21.82 -0.0574
## 2613       1     1      9      9      9     16.0 68.70 67.94 68.70 -0.3812
## 2615       4     1      9      6      9     16.0 57.00 19.78 57.00  1.2781
## 2616       1     1      9      8      9     16.0 78.86 82.41 82.41  0.3654
## 2620       1     1      5      5      5     12.0 17.00 25.95 25.95  0.0400
## 2626       2     1      9      9      9     16.0 68.70 68.88 68.88  0.7102
## 2628       3     1      9      9      9     16.0 68.70 54.92 68.70 -0.3200
## 2631       4     1      5      5      5     12.0 16.38 17.55 17.55  0.6273
## 2634       2     1      8      3      8     16.0 62.79 51.01 62.79  0.4946
## 2635       1     1      8      9      9     16.0 16.50 53.77 53.77  0.3924
## 2638       2     1      9      9      9     16.0 68.70 64.44 68.70  1.0020
## 2645       1     1      6      5      6     12.0 48.66 70.34 70.34  1.4352
## 2647       3     1     10      6     10     16.0 57.99 62.39 62.39  0.5675
## 2648       1     1      6      3      6     12.0 28.48 17.56 28.48 -0.6464
## 2650       2     1      9      5      9     16.0 76.49 22.77 76.49 -0.7300
## 2652       2     1      9      9      9     16.0 59.18 26.85 59.18  1.1343
## 2656       4     1      7      7      7     14.5 11.74 70.34 70.34  0.9155
## 2661       2     0      5      5      5     12.0 17.00 71.39 71.39 -0.3200
## 2664       2     1      8      8      8     16.0 43.33 65.12 65.12  1.1292
## 2665       2     1      8      6      8     16.0 70.50 51.56 70.50  0.1296
## 2669       2     0      5      5      5     12.0 30.99 59.89 59.89  0.1891
## 2671       2     1      5      5      5     12.0 71.39 24.53 71.39  1.7661
## 2676       3     1      9      9      9     16.0 74.79 77.88 77.88 -0.0574
## 2678       3     1      9      9      9     16.0 20.91 75.50 75.50  0.3061
## 2683       3     1     10      1     10     16.0 68.70 17.69 68.70  0.3924
## 2684       2     1      5      5      5     12.0 27.81 36.35 36.35 -0.6596
## 2685       2     1      9      8      9     16.0 82.41 71.39 82.41  0.1891
## 2688       2     0      6      5      6     12.0 31.08 51.50 51.50  0.1428
## 2689       3     1      8      8      8     16.0 80.92 79.74 80.92 -0.2123
## 2690       4     1      5      5      5     12.0 57.99 24.68 57.00  1.2701
## 2698       2     1      5      5      5     12.0 58.07 17.00 58.07 -0.1020
## 2702       2     1     10      9     10     16.0 57.04 38.80 57.04 -0.0073
## 2704       2     1      3      5      5     12.0 56.00 17.00 56.00 -0.3003
## 2705       2     1      9      9      9     16.0 82.41 65.01 82.41  0.3344
## 2706       2     1      9      9      9     16.0 71.39 60.44 71.39  0.2801
## 2711       3     1      8      8      8     16.0 35.34 59.89 59.89  0.2741
## 2712       2     1      3      9      9     16.0 17.00 65.01 65.01  0.4011
## 2715       5     1      8     10     10     16.0 57.04 86.72 86.72 -1.1819
## 2722       3     1      8      8      8     16.0 62.39 57.03 62.39 -0.0447
## 2727       2     1      8      8      8     16.0 24.98 35.34 35.34  0.6731
## 2730       1     0     10      9     10     16.0 65.01 73.38 73.38  0.3568
## 2731       1     1      5      8      8     16.0 62.39 60.29 62.39 -1.2294
## 2733       3     1     10      9     10     16.0 68.70 27.91 68.70  2.2514
## 2734       2     1      8      8      8     16.0 22.79 83.50 83.50  0.6731
## 2737       2     1      6      5      6     12.0 56.00 19.66 56.00 -0.1323
## 2740       2     1      9      8      9     16.0 70.50 79.05 79.05  1.1084
## 2747       2     0      8      5      8     16.0 66.42 41.27 66.42  1.7333
## 2748       2     1     10      9     10     16.0 68.70 43.85 68.70  0.7215
## 2749       2     1      8      9      9     16.0 50.90 56.35 56.35  0.4006
## 2751       1     1      9      9      9     16.0 31.08 25.95 31.08  2.1327
## 2754       4     1      5      5      5     12.0 24.53 32.50 32.50 -0.7816
## 2755       3     1      5      5      5     12.0 16.38 18.08 18.08 -0.3003
## 2760       4     0      8      6      8     16.0 68.70 59.89 68.70 -0.6510
## 2761       1     1      7      6      7     14.5 44.14 22.16 44.14  0.5166
## 2765       5     1      9      7      9     16.0 70.34 71.39 71.39  1.0546
## 2769       2     1      2      6      6     12.0 31.08 62.39 62.39 -0.6510
## 2774       2     1      9      7      9     16.0 68.70 15.35 68.70  1.3838
## 2788       2     1      9      9      9     16.0 76.49 71.39 76.49  0.5800
## 2789       3     1      8      9      9     16.0 70.89 79.05 79.05 -0.0574
## 2792       2     1      9      7      9     16.0 70.50 30.32 70.50  0.2259
## 2793       2     1      7      6      7     14.5 24.98 33.66 33.66 -0.7194
## 2796       1     1      5      5      5     12.0 25.95 17.55 25.95  1.1686
## 2798       3     0      9      8      9     16.0 29.18 62.45 62.45 -0.3200
## 2799       2     1      9      8      9     16.0 75.50 74.66 75.50  1.1346
## 2802       3     1      2      8      8     16.0 17.00 65.12 65.12  0.5800
## 2805       1     0      7      9      9     16.0 71.39 48.13 71.39  1.0036
## 2807       1     1      8      8      8     16.0 70.50 51.50 70.50  0.8142
## 2809       4     0     10      9     10     16.0 70.34 73.91 73.91  2.3145
## 2810       3     0      8      8      8     16.0 54.55 59.76 59.76  0.7474
## 2812       3     0      7      8      8     16.0 65.23 17.69 65.23  0.0526
## 2813       1     1      6      6      6     12.0 76.65 50.90 76.65  0.8511
## 2818       2     1      5      5      5     12.0 35.34 20.95 35.34  0.8701
## 2820       1     1      8      8      8     16.0 71.39 75.50 75.50  0.8511
## 2822       2     1      5      5      5     12.0 16.38 26.85 26.85  0.7374
## 2826       2     1      6      7      7     14.5 39.02 65.01 65.01  2.0077
## 2827       3     1      8      7      8     16.0 17.00 11.74 17.00  2.4896
## 2830       3     1     10     10     10     16.0 35.34 85.41 85.41  1.2858
## 2831       5     1      9      7      9     16.0 54.92 27.91 54.92  0.5349
## 2836       3     1      7      8      8     16.0 47.83 59.76 59.76  1.5160
## 2838       2     1      5      1      5     12.0 50.15 20.91 50.15  1.0229
## 2839       2     1      8     10     10     16.0 17.00 81.92 81.92  0.7374
## 2843       2     1      5      8      8     16.0 16.50 79.05 79.05 -0.2123
## 2844       2     1      3      2      3      9.0 16.38 59.89 59.89  0.5166
## 2845       2     1      5      5      5     12.0 76.49 14.21 76.49 -0.2248
## 2853       2     1      9      9      9     16.0 73.91 17.56 73.91  0.7159
## 2858       2     1      8      7      8     16.0 47.83 57.37 57.37  0.7374
## 2866       2     1      5      5      5     12.0 60.29 74.66 74.66  0.0340
## 2867       2     1      7      7      7     14.5 56.00 26.64 56.00 -0.1020
## 2868       1     1      7      7      7     14.5 17.00 23.57 23.57 -1.0637
## 2869       3     1      9      9      9     16.0 75.25 57.68 75.25  0.0600
## 2872       3     1      8      8      8     16.0 57.04 36.35 57.04  0.6731
## 2874       2     1      9      9      9     16.0 68.70 78.86 78.86 -0.2027
## 2875       1     1      7      8      8     16.0 51.56 24.45 51.56  0.2028
## 2878       4     1      9      5      9     16.0 58.07 14.21 58.07  0.3924
## 2879       2     1     10      5     10     16.0 68.70 15.35 68.70 -0.5200
## 2884       4     1     10      5     10     16.0 86.72 23.80 86.72  0.1506
## 2885       3     1      5      5      5     12.0 17.00 35.34 35.34 -1.6124
## 2887       3     1      8      9      9     16.0 73.91 79.05 79.05 -0.0073
## 2890       1     1      8      9      9     16.0 24.85 28.48 28.48  1.4393
## 2893       2     1      9      5      9     16.0 76.49 19.78 76.49  0.3592
## 2905       3     1     10     10     10     16.0 73.38 85.41 85.41  0.3061
## 2906       2     0      8      9      9     16.0 66.42 66.42 66.42  0.1891
## 2910       2     1      5      3      5     12.0 17.00 33.76 33.76 -0.0073
## 2911       2     1      8      6      8     16.0 24.53 36.35 36.35 -0.6259
## 2913       2     1      8      8      8     16.0 30.59 43.85 43.85  1.2571
## 2914       2     0      6      6      6     12.0 31.08 28.52 31.08  0.6833
## 2916       2     0      7      8      8     16.0 73.38 78.86 78.86  0.2801
## 2917       1     1      9      5      9     16.0 51.63 72.94 72.94  0.2146
## 2922       2     0      8      9      9     16.0 73.38 52.72 73.38  1.0285
## 2926       2     0      7      7      7     14.5 17.00 17.00 17.00 -0.0775
## 2928       1     0      8      8      8     16.0 63.03 65.01 65.01  2.8019
## 2931       0     1      9      5      9     16.0 70.89 16.36 70.89  1.5182
## 2932       3     1      9      8      9     16.0 76.49 30.47 76.49  0.5500
## 2934       2     1      8      8      8     16.0 76.49 71.39 76.49  0.4207
## 2935       2     1      8      8      8     16.0 28.97 18.03 28.97 -0.3003
## 2939       2     1      5      8      8     16.0 24.98 76.65 76.65 -1.2703
## 2940       1     1      8      8      8     16.0 76.65 47.74 76.65 -0.3588
## 2944       2     1      8      9      9     16.0 44.94 60.92 60.92  1.1346
## 2945       2     1     10     10     10     16.0 24.53 43.85 43.85 -1.2304
## 2950       2     0      3      3      3      9.0 43.85 19.66 43.85  0.2473
## 2951       3     0     10      9     10     16.0 80.92 78.86 80.92  0.6142
## 2953       5     1      8      5      8     16.0 82.41 16.36 82.41  0.5311
## 2955       4     0      5      5      5     12.0 37.22 35.82 37.22  0.1891
## 2959       2     0      5      5      5     12.0 62.39 17.00 62.39 -0.2082
## 2967       2     1      8      8      8     16.0 39.02 47.74 47.74  0.2368
## 2979       3     1      6      3      6     12.0 31.08 33.76 33.76 -0.5434
## 2982       3     1      2      2      2      6.0 17.00 33.76 33.76 -1.4258
## 2983       2     1      9      9      9     16.0 76.65 82.41 82.41  0.8768
## 2985       2     1      9      8      9     16.0 58.07 70.09 70.09  0.2320
## 2988       2     1      7      9      9     16.0 80.92 68.54 80.92  1.1551
## 2990       1     1      5      9      9     16.0 28.48 75.54 75.54 -0.6259
## 2997       2     1      8      9      9     16.0 46.76 73.71 73.71  1.0285
## 2998       3     1      5      8      8     16.0 17.00 25.95 25.95  1.2777
## 2999       4     1      9      8      9     16.0 76.49 73.91 76.49  1.5585
## 3000       3     0      5      5      5     12.0 24.98 24.53 24.98 -0.0717
## 3005       3     1      6      8      8     16.0 17.00 73.91 73.91 -0.5527
## 3008       1     1      5      5      5     12.0 30.90 24.53 30.90  0.8069
## 3016       2     0      5      5      5     12.0 24.98 41.27 41.27  0.2412
## 3019       3     1      8      8      8     16.0 81.40 79.05 81.40  1.1728
## 3022       2     1      8      9      9     16.0 57.68 57.68 57.68  1.2422
## 3026       2     1      8      9      9     16.0 30.90 86.72 86.72  0.7159
## 3028       2     1      5      5      5     12.0 88.70 17.00 88.70 -0.6348
## 3032       2     1      8      9      9     16.0 70.50 62.13 70.50  0.2181
## 3034       2     1      3      6      6     12.0 25.04 24.53 25.04 -0.8753
## 3035       2     0      9      8      9     16.0 76.49 71.39 76.49  0.1525
## 3036       3     1      5      5      5     12.0 65.01 78.86 78.86  0.7159
## 3037       2     1     10     10     10     16.0 88.70 85.41 88.70  0.8222
## 3044       3     1      8      3      8     16.0 68.70 37.83 68.70  0.4042
## 3048       1     1      5      2      5     12.0 24.53 21.82 24.53 -1.7172
## 3053       3     1      8      6      8     16.0 82.41 59.89 82.41  1.4904
## 3056       1     1      9      7      9     16.0 77.88 14.57 77.88  2.0814
## 3058       4     1      9      9      9     16.0 66.42 28.48 66.42  1.0340
## 3059       3     1      5      3      5     12.0 30.49 20.91 30.49 -0.5434
## 3061       2     1      3      5      5     12.0 68.70 51.35 68.70 -0.1496
## 3064       3     1      9      5      9     16.0 70.34 73.91 73.91  0.3924
## 3073       2     1      7      5      7     14.5 62.39 22.77 62.39 -0.8741
## 3074       2     1      8      8      8     16.0 82.41 59.89 82.41 -0.0574
## 3079       2     1      9      9      9     16.0 66.42 58.05 66.42  4.1742
## 3081       2     1      7      5      7     14.5 26.64 21.96 26.64 -0.1622
## 3082       4     1      8      8      8     16.0 58.07 65.12 65.12  2.5844
## 3088       2     0      5      3      5     12.0 14.21 30.78 30.78  0.8734
## 3095       3     0      5      5      5     12.0 39.02 75.50 75.50 -0.6510
## 3098       2     0      8      6      8     16.0 75.54 29.16 75.54  1.6136
## 3102       1     1      8      5      8     16.0 30.90 17.00 30.90 -1.1856
## 3103       3     1      8      9      9     16.0 76.65 70.34 76.65  0.7159
## 3105       3     0      8      8      8     16.0 76.49 76.65 76.65  0.9035
## 3108       2     1      8      6      8     16.0 62.39 17.55 62.39  0.4042
## 3109       3     1      5      5      5     12.0 73.91 25.06 73.91 -1.5578
## 3111       3     0      9      8      9     16.0 86.72 51.01 86.72  0.6324
## 3114       1     1      8      3      8     16.0 56.00 30.78 56.00 -0.1020
## 3117       1     1      9      5      9     16.0 24.15 24.85 24.85 -0.0145
## 3118       1     1      7      9      9     16.0 57.00 71.72 71.72  1.6200
## 3119       3     0      7      9      9     16.0 31.08 62.39 62.39  1.2200
## 3120       2     0      8      8      8     16.0 65.01 65.01 65.01  0.8511
## 3121       3     0      9      3      9     16.0 65.01 58.07 65.01  1.1217
## 3123       2     1      9      9      9     16.0 76.49 71.39 76.49 -0.9215
## 3124       2     1      5      5      5     12.0 28.48 29.73 29.73  0.6260
## 3126       2     1      7      8      8     16.0 65.12 65.12 65.12  0.1428
## 3127       4     1      9      9      9     16.0 24.98 58.07 58.07  1.6781
## 3130       3     1      5      5      5     12.0 16.50 21.96 21.96  0.0463
## 3131       2     1      7      8      8     16.0 62.39 50.15 62.39  0.5224
## 3132       4     1      9      7      9     16.0 66.42 16.36 66.42  0.8771
## 3136       3     1      8      8      8     16.0 70.40 70.89 70.89  0.2320
## 3139       1     1      2      3      3      9.0 50.15 50.15 50.15 -0.5191
## 3144       3     1     10      5     10     16.0 68.70 34.25 68.70 -0.8884
## 3155       2     1      8      8      8     16.0 63.31 63.31 63.31  0.6600
## 3157       2     1      6      6      6     12.0 77.88 65.01 77.88  0.6565
## 3160       3     1     10      8     10     16.0 81.92 81.92 81.92 -0.4067
## 3166       2     1     10     10     10     16.0 57.64 37.83 57.64 -0.4301
## 3169       2     1      9      6      9     16.0 85.41 27.52 85.41  1.2602
## 3170       2     1     10      9     10     16.0 81.92 66.42 81.92  1.6552
## 3174       2     1      2      2      2      6.0 18.03 18.03 18.03 -0.0073
## 3177       4     1      9     10     10     16.0 60.29 53.15 60.29  2.1500
## 3178       2     1     10      8     10     16.0 68.70 74.66 74.66  0.8771
## 3179       2     1      9      8      9     16.0 71.39 71.39 71.39  0.6703
## 3183       2     1      6      6      6     12.0 75.50 27.25 75.50  0.4389
## 3188       2     1      8      3      8     16.0 71.39 25.06 71.39 -0.2865
## 3190       1     0      8      5      8     16.0 50.57 27.52 50.57 -0.8746
## 3193       1     1      9      8      9     16.0 66.42 68.54 68.54 -0.5351
## 3196       2     1      8      8      8     16.0 59.89 75.50 75.50  1.1343
## 3201       2     1      5      5      5     12.0 40.54 29.16 40.54  1.4380
## 3203       2     1     10      5     10     16.0 70.50 25.95 70.50  1.4731
## 3206       2     1      5      7      7     14.5 38.88 51.01 51.01  0.6055
## 3207       2     1      8      8      8     16.0 85.13 78.86 85.13  1.6041
## 3211       2     1      9      6      9     16.0 75.54 65.12 75.54  0.1428
## 3212       3     1      8      5      8     16.0 79.74 25.23 79.74 -0.1700
## 3214       1     1      5      7      7     14.5 39.02 17.69 39.02  0.8886
## 3216       1     0     10      8     10     16.0 68.70 76.49 76.49  0.2773
## 3217       3     1      8      5      8     16.0 24.53 14.39 24.53  1.6041
## 3221       2     0      8      7      8     16.0 82.41 71.39 82.41  1.6190
## 3222       1     0      2      2      2      6.0 17.00 16.39 17.00 -0.8205
## 3223       1     1      5      3      5     12.0 39.02 11.74 39.02  0.4664
## 3225       2     1      5      5      5     12.0 23.41 30.78 30.78  1.4126
## 3226       3     1      8      8      8     16.0 51.56 70.34 70.34  2.4907
## 3228       2     1      7      9      9     16.0 17.00 35.34 35.34  1.8562
## 3229       2     0      8      5      8     16.0 48.10 62.45 62.45  1.2082
## 3231       3     1     10      9     10     16.0 81.13 66.42 81.13  0.7159
## 3232       1     1     10      8     10     16.0 68.70 48.13 68.70  1.7864
## 3235       2     1      8      8      8     16.0 71.39 78.86 78.86  1.1605
## 3242       1     1      6      6      6     12.0 51.56 32.50 51.56  0.6887
## 3243       1     1     10      7     10     16.0 67.94 73.71 73.71  0.1891
## 3245       2     0      8      7      8     16.0 62.13 26.80 62.13 -0.6000
## 3246       2     1     10     10     10     16.0 56.00 25.95 56.00 -0.6205
## 3248       2     1      8      7      8     16.0 60.44 58.07 60.44 -0.1622
## 3251       2     1      5      7      7     14.5 48.66 67.94 67.94  0.4207
## 3256       2     1      8      3      8     16.0 28.48 27.91 28.48 -1.1565
## 3257       1     1      5      9      9     16.0 43.33 71.39 71.39  0.4000
## 3261       2     1      9      9      9     16.0 59.89 70.34 70.34 -0.2137
## 3267       2     1      9      5      9     16.0 26.64 24.53 26.64 -0.3527
## 3270       2     1      5      5      5     12.0 26.64 26.85 26.85 -0.7025
## 3271       1     1      8      8      8     16.0 68.54 16.38 68.54  1.0187
## 3273       1     1      8      8      8     16.0 82.41 72.83 82.41  0.1500
## 3275       3     1      9      8      9     16.0 63.31 71.39 71.39  1.8125
## 3276       2     1      5      5      5     12.0 40.54 19.78 40.54 -0.3200
## 3277       3     0      5      5      5     12.0 14.21 59.89 59.89  0.3879
## 3278       2     1     10      5     10     16.0 48.13 30.78 48.13  1.1315
## 3284       1     1      8      9      9     16.0 65.01 35.82 65.01  0.0156
## 3286       2     1      6      8      8     16.0 31.08 72.30 72.30  1.2602
## 3287       1     1      5      9      9     16.0 16.36 70.34 70.34 -0.0073
## 3288       2     1      8      5      8     16.0 56.00 30.78 56.00  1.3033
## 3292       3     1      9      8      9     16.0 59.35 65.12 65.12  1.4904
## 3294       3     1      9      5      9     16.0 68.70 20.91 68.70  1.5936
## 3295       1     1      6      7      7     14.5 31.08 46.38 46.38  0.3924
## 3298       1     0      9      8      9     16.0 68.70 70.34 70.34  0.7159
## 3299       1     1      1      2      2      6.0 11.74 21.13 21.13  1.2491
## 3303       2     1      7      6      7     14.5 70.50 16.36 70.50 -0.3003
## 3306       2     1      9      9      9     16.0 29.73 31.46 31.46 -0.0073
## 3310       2     1      8     10     10     16.0 75.54 75.54 75.54  0.3924
## 3312       2     1      3      5      5     12.0 14.57 53.77 53.77 -0.0073
## 3315       2     1      9      3      9     16.0 68.70 58.07 68.70  0.9602
## 3320       3     1      8      8      8     16.0 70.40 74.66 74.66  0.4207
## 3322       1     1      8      7      8     16.0 76.98 46.38 76.98  1.7333
## 3325       1     1     10      6     10     16.0 88.70 30.59 88.70 -0.6510
## 3327       2     1      5      9      9     16.0 66.42 37.83 66.42  1.4347
## 3329       1     0      3      3      3      9.0 17.00 14.57 17.00 -2.5500
## 3330       3     1      9      8      9     16.0 79.74 79.74 79.74  1.1346
## 3338       2     1      8      8      8     16.0 32.20 15.35 32.20 -0.4301
## 3342       3     1      8      8      8     16.0 17.00 74.79 74.79  0.4265
## 3343       1     1      8      9      9     16.0 79.74 75.13 79.74  0.3762
## 3351       2     1      9      5      9     16.0 71.39 35.34 71.39 -0.3200
## 3352       3     1      8      5      8     16.0 17.00 22.77 22.77 -0.4067
## 3362       3     1      5      8      8     16.0 59.76 78.86 78.86  4.1742
## 3364       5     1      7      8      8     16.0 70.34 71.39 71.39  0.5500
## 3369       2     1      8      8      8     16.0 82.41 73.91 82.41  0.1891
## 3370       2     1      8      7      8     16.0 76.65 62.45 76.65  0.6700
## 3375       2     1     10     10     10     16.0 62.13 60.92 62.13  0.5326
## 3380       2     0      9      9      9     16.0 66.42 78.86 78.86  1.3006
## 3384       2     1      8      8      8     16.0 53.15 30.78 53.15  0.4756
## 3385       2     1      8      8      8     16.0 76.65 68.54 76.65  1.5385
## 3387       4     1      9      8      9     16.0 68.88 79.74 79.74  0.2320
## 3388       3     1      7      8      8     16.0 24.98 74.66 74.66  0.5349
## 3389       2     0      8      8      8     16.0 56.64 35.34 56.64  1.8846
## 3390       2     1      5      5      5     12.0 65.01 57.03 65.01  0.0837
## 3391       3     1      2     10     10     16.0 66.42 30.78 66.42  1.5638
## 3392       2     1      8      6      8     16.0 78.86 28.48 78.86  1.4583
## 3393       2     1      8      8      8     16.0 26.64 74.66 74.66  2.2766
## 3398       1     1      5      5      5     12.0 27.91 27.91 27.91 -0.7865
## 3399       2     1      9      9      9     16.0 65.01 65.42 65.42 -0.0073
## 3401       2     1      5      5      5     12.0 60.29 43.85 60.29  1.5465
## 3402       2     1      9      9      9     16.0 71.39 73.71 73.71  1.4247
## 3405       4     1      9     10     10     16.0 81.92 81.13 81.92  1.0646
## 3408       2     1      8      5      8     16.0 53.15 40.54 53.15 -0.5191
## 3410       1     0      8      8      8     16.0 29.73 71.39 71.39 -0.1700
## 3415       2     1      5      5      5     12.0 80.78 50.15 80.78  0.4207
## 3416       1     1      8      3      8     16.0 25.04 24.45 25.04  0.1428
## 3421       2     1      8      8      8     16.0 85.41 65.42 85.41  0.1592
## 3438       2     1      9      9      9     16.0 82.41 85.41 85.41  0.8511
## 3439       2     1      6      7      7     14.5 70.89 53.77 70.89  0.2756
## 3440       1     1      6      6      6     12.0 31.08 16.39 31.08  0.2424
## 3443       1     0      5      5      5     12.0 43.33 78.86 78.86  1.2656
## 3446       2     1      9      9      9     16.0 86.72 86.72 86.72 -0.6458
## 3449       2     1      9      8      9     16.0 86.72 62.45 86.72  1.0020
## 3450       2     1      5      5      5     12.0 57.03 57.03 57.03  0.7430
## 3453       2     1      5      5      5     12.0 51.56 25.95 51.56  0.7215
## 3454       1     1      5      5      5     12.0 57.99 16.50 57.00 -1.1521
## 3457       3     1      9      9      9     16.0 71.39 62.45 71.39  3.0882
## 3458       1     1      5     10     10     16.0 17.00 88.31 88.31  1.2777
## 3459       3     1      5      6      6     12.0 39.02 29.16 39.02  0.3333
## 3460       2     1     10      8     10     16.0 68.70 29.16 68.70 -0.2875
## 3461       2     1      6      7      7     14.5 62.39 78.86 78.86  0.1296
## 3462       3     1      8      9      9     16.0 73.91 75.13 75.13  0.0340
## 3465       2     1      5      9      9     16.0 44.94 25.95 44.94 -0.6709
## 3468       2     1      9      8      9     16.0 76.65 75.50 76.65  1.8125
## 3474       1     1      3      3      3      9.0 28.70 14.57 28.70 -1.3707
## 3475       2     1      3      8      8     16.0 24.53 70.50 70.50  0.2607
## 3476       4     1     10     10     10     16.0 81.13 65.01 81.13  0.9688
## 3480       5     1      5      5      5     12.0 14.21 17.53 17.53 -1.0015
## 3485       4     1      6      6      6     12.0 68.70 24.53 68.70 -2.0686
## 3486       2     1      9      9      9     16.0 86.72 54.27 86.72  0.3762
## 3488       3     1      5      5      5     12.0 16.50 25.95 25.95 -1.6846
## 3492       2     0      7      8      8     16.0 17.00 65.12 65.12  0.4207
## 3494       3     1     10      9     10     16.0 88.31 35.07 88.31 -0.2067
## 3495       3     1      5      5      5     12.0 24.79 33.76 33.76  0.1724
## 3501       1     1      9      9      9     16.0 76.49 82.41 82.41 -0.6903
## 3507       1     1      3      3      3      9.0 17.00 17.69 17.69  0.7017
## 3509       2     1      8      8      8     16.0 65.23 39.45 65.23  0.4042
## 3512       3     1      3      3      3      9.0 22.77 22.77 22.77  0.2473
## 3515       3     1      6      6      6     12.0 24.53 22.75 24.53  0.3311
## 3516       2     1      9      5      9     16.0 17.00 17.00 17.00  1.2046
## 3517       2     0     10     10     10     16.0 88.70 73.71 88.70  0.4729
## 3521       2     1      7      6      7     14.5 68.70 25.26 68.70 -0.1805
## 3527       2     0      5      5      5     12.0 62.39 17.53 62.39  0.4934
## 3532       3     1      8      9      9     16.0 73.38 74.66 74.66  0.8948
## 3533       5     1      8      5      8     16.0 73.91 59.89 73.91  1.8466
## 3537       2     1      9      8      9     16.0 76.65 51.50 76.65  0.7159
## 3541       3     1      9      9      9     16.0 76.49 60.92 76.49  0.5624
## 3546       2     1      9      8      9     16.0 73.91 73.91 73.91  1.1605
## 3553       1     1      5      2      5     12.0 26.64 17.00 26.64 -1.1051
## 3557       2     0      8      8      8     16.0 76.49 62.45 76.49 -0.3001
## 3562       1     1      9      3      9     16.0 68.70 16.50 68.70 -0.1632
## 3564       2     1      9      7      9     16.0 67.94 57.68 67.94  0.3457
## 3565       2     1      9      5      9     16.0 66.42 17.56 66.42  0.7288
## 3568       2     1      8      8      8     16.0 74.79 28.48 74.79 -0.8725
## 3570       1     0      5      6      6     12.0 18.08 24.49 24.49  1.3100
## 3572       3     1      8      9      9     16.0 57.37 74.66 74.66  0.2607
## 3576       3     1      6      6      6     12.0 51.56 57.03 57.03 -0.2271
## 3578       4     1      8      3      8     16.0 76.65 70.57 76.65  2.6126
## 3580       1     1      6      5      6     12.0 71.39 19.66 71.39 -0.0073
## 3582       3     1      9      5      9     16.0 75.54 25.95 75.54  0.5806
## 3583       2     1      5      2      5     12.0 52.72 17.00 52.72  0.5282
## 3588       3     1      9      8      9     16.0 76.49 73.91 76.49  2.0100
## 3590       1     1      8      5      8     16.0 76.49 17.00 76.49 -0.8271
## 3594       3     1      6      6      6     12.0 53.15 53.15 53.15  1.2500
## 3595       3     1      9      9      9     16.0 85.41 68.88 85.41 -0.8091
## 3598       3     1      8      9      9     16.0 65.23 77.10 77.10 -0.3003
## 3605       2     1      9      9      9     16.0 82.41 80.46 82.41  0.3085
## 3615       4     0      5      5      5     12.0 72.83 30.78 72.83  0.7159
## 3619       1     1      9      8      9     16.0 14.21 16.36 16.36 -0.9092
## 3622       3     0     10      9     10     16.0 88.31 70.34 88.31  2.2514
## 3623       2     1      5      5      5     12.0 14.21 39.04 39.04 -0.1020
## 3624       2     1      5      5      5     12.0 24.98 22.77 24.98 -1.0112
## 3625       1     1      5      5      5     12.0 71.39 11.56 71.39 -0.1496
## 3628       3     1      8      7      8     16.0 61.82 72.27 72.27 -0.4067
## 3630       2     0      9      7      9     16.0 51.01 74.66 74.66  0.4383
## 3633       4     1      6      6      6     12.0 75.43 16.36 75.43  0.5349
## 3638       2     1      7      7      7     14.5 57.68 79.74 79.74  1.5936
## 3643       2     1      9      5      9     16.0 26.64 33.76 33.76 -0.0073
## 3645       2     1      8      3      8     16.0 16.80 17.56 17.56 -0.8787
## 3646       3     1      9     10     10     16.0 72.24 81.92 81.92 -0.3200
## 3647       4     1      8      8      8     16.0 71.39 81.92 81.92  0.8511
## 3649       2     0      5      5      5     12.0 40.56 31.08 40.56 -0.7305
## 3651       2     1      1      8      8     16.0 23.88 29.81 29.81 -0.5225
## 3653       3     0      9      5      9     16.0 70.09 70.34 70.34  0.6875
## 3654       2     1      8      7      8     16.0 62.13 73.91 73.91  1.0668
## 3657       4     0      5      5      5     12.0 24.98 29.16 29.16  1.5585
## 3658       3     0      9      8      9     16.0 53.15 35.34 53.15 -0.0500
## 3659       1     1      5      5      5     12.0 57.99 59.89 59.89 -0.8430
## 3664       2     1      9      6      9     16.0 62.39 62.39 62.39 -0.5558
## 3666       3     1      3      8      8     16.0 17.00 36.35 36.35  0.6293
## 3670       1     1      8      8      8     16.0 24.98 51.50 51.50  1.0285
## 3671       2     1      5      5      5     12.0 30.90 51.56 51.56 -0.3001
## 3675       2     1      7      6      7     14.5 42.30 53.77 53.77  0.1428
## 3676       2     1      8      8      8     16.0 17.00 74.66 74.66  0.3344
## 3682       2     0      6      2      6     12.0 44.94 65.12 65.12  0.7604
## 3684       3     1      5      5      5     12.0 68.70 70.34 70.34  2.8738
## 3686       2     1      8      8      8     16.0 21.24 73.91 73.91  0.4484
## 3689       2     1      8      8      8     16.0 30.90 77.10 77.10 -0.8047
## 3691       4     1      8      5      8     16.0 59.76 29.16 59.76  0.8787
## 3697       3     1      8      8      8     16.0 61.07 82.41 82.41  1.6446
## 3699       3     0      3      3      3      9.0 17.00 33.76 33.76  0.8276
## 3707       1     1      5      5      5     12.0 56.00 43.76 56.00 -0.1020
## 3711       2     1      8      8      8     16.0 73.91 74.66 74.66  0.8245
## 3712       3     0      9      9      9     16.0 81.92 79.49 81.92  0.4207
## 3718       3     1      9      7      9     16.0 68.70 79.74 79.74  0.3061
## 3719       2     1      1      3      3      9.0 16.36 24.53 24.53 -0.1083
## 3725       1     1      8      6      8     16.0 68.70 11.56 68.70  0.1690
## 3727       2     1      5      5      5     12.0 43.85 65.42 65.42  1.9458
## 3728       1     0      5      5      5     12.0 44.94 51.01 51.01 -0.4174
## 3729       1     1      6      5      6     12.0 68.70 59.89 68.70  0.7427
## 3730       2     1      8     10     10     16.0 59.89 80.46 80.46  0.9035
## 3735       2     1      9      9      9     16.0 57.68 33.76 57.68  0.3222
## 3739       3     1      9      8      9     16.0 70.89 65.12 70.89 -0.3466
## 3740       2     1     10     10     10     16.0 88.31 81.92 88.31  0.7159
## 3741       4     1      8      8      8     16.0 58.77 79.05 79.05  0.4484
## 3748       1     0      9      9      9     16.0 75.43 82.41 82.41 -0.5622
## 3751       4     1      5      5      5     12.0 24.53 23.80 24.53  1.0049
## 3765       3     1      9      7      9     16.0 82.41 51.50 82.41  0.2578
## 3770       5     1      9      9      9     16.0 51.01 82.41 82.41  1.0107
## 3774       2     1      9      9      9     16.0 57.04 72.24 72.24  0.3924
## 3775       2     1      8      6      8     16.0 68.70 50.90 68.70  1.9267
## 3776       2     1      3      2      3      9.0 17.55 20.91 20.91 -1.8601
## 3778       2     1      5      5      5     12.0 17.00 33.76 33.76  0.5440
## 3782       2     1      7      5      7     14.5 24.53 46.73 46.73 -0.6134
## 3789       1     1      5      3      5     12.0 43.85 30.78 43.85  0.1366
## 3790       2     1      6      6      6     12.0 44.94 17.56 44.94 -0.4763
## 3791       2     0      8      8      8     16.0 70.40 60.29 70.40 -0.0073
## 3792       2     1      9      7      9     16.0 68.70 51.01 68.70  0.2792
## 3793       1     1      9      9      9     16.0 74.66 65.12 74.66  2.6126
## 3795       3     0      7      7      7     14.5 24.98 30.34 30.34  1.2884
## 3799       1     1      7      6      7     14.5 61.18 36.35 61.18  0.3344
## 3804       2     0      8      9      9     16.0 54.55 65.42 65.42  0.5500
## 3805       3     1      8      9      9     16.0 39.02 70.50 70.50  2.2514
## 3810       2     1      5      5      5     12.0 39.04 65.12 65.12 -0.8300
## 3815       1     1      3      3      3      9.0 68.70 25.95 68.70 -1.4184
## 3824       1     1     10      6     10     16.0 68.70 17.00 68.70 -0.5429
## 3826       2     0      9      8      9     16.0 82.41 54.00 82.41 -0.9169
## 3827       2     0      8      8      8     16.0 77.88 74.66 77.88  0.8245
## 3829       2     1      5      5      5     12.0 28.48 24.53 28.48  0.8006
## 3835       2     1      8      8      8     16.0 68.70 65.64 68.70  0.1891
## 3838       4     1      3      5      5     12.0 25.04 43.85 43.85 -0.8421
## 3839       2     1      8      8      8     16.0 38.58 70.34 70.34  1.2777
## 3840       4     1      8      7      8     16.0 37.83 25.06 37.83 -0.6205
## 3851       2     1      9      8      9     16.0 79.74 74.66 79.74  0.4764
## 3856       2     0      6      3      6     12.0 28.48 25.39 28.48 -1.4196
## 3859       2     1      9     10     10     16.0 17.00 58.07 58.07 -0.2217
## 3861       2     1     10      2     10     16.0 65.01 19.78 65.01  1.0491
## 3862       2     1      8      9      9     16.0 74.66 86.72 86.72  0.7159
## 3868       2     1      6      8      8     16.0 19.66 25.26 25.26  0.0526
## 3871       3     1      9      9      9     16.0 67.94 81.92 81.92  1.4380
## 3877       1     1      3      8      8     16.0 80.92 71.39 80.92  0.1396
## 3880       2     1      7      7      7     14.5 71.39 60.92 71.39  1.0285
## 3882       3     1      9      6      9     16.0 70.50 17.00 70.50  1.0755
## 3886       4     1      3      5      5     12.0 16.38 15.35 16.38 -1.0153
## 3887       1     0      1      9      9     16.0 32.20 27.91 32.20 -0.2280
## 3889       2     0      5      5      5     12.0 17.00 22.16 22.16 -0.1700
## 3891       4     1      7      8      8     16.0 57.99 46.38 57.00 -0.0073
## 3893       3     1      7      5      7     14.5 76.65 37.83 76.65 -0.1020
## 3898       3     1      8      9      9     16.0 82.41 65.01 82.41 -1.1393
## 3899       4     1      8      8      8     16.0 39.02 26.85 39.02 -0.7868
## 3908       1     0      5      8      8     16.0 44.14 17.00 44.14 -0.6172
## 3909       3     0      9      5      9     16.0 76.49 35.34 76.49  0.9155
## 3911       1     1      8      9      9     16.0 65.01 23.96 65.01  0.2607
## 3916       2     1      2      3      3      9.0 17.55 11.74 17.55 -0.3003
## 3919       5     1      7      9      9     16.0 17.00 86.72 86.72  1.6868
## 3921       5     1     10     10     10     16.0 37.59 65.12 65.12 -0.2423
## 3923       2     0      5      9      9     16.0 17.00 75.50 75.50  0.1862
## 3928       2     1      8      7      8     16.0 65.01 57.03 65.01 -0.2705
## 3934       3     1      8      8      8     16.0 76.49 61.07 76.49  0.9155
## 3937       3     1      5      5      5     12.0 44.92 25.26 44.92  1.1864
## 3942       3     1      5      8      8     16.0 81.13 81.40 81.40  0.2124
## 3944       3     1     10      8     10     16.0 68.70 36.35 68.70  0.2787
## 3948       1     1      5      5      5     12.0 55.25 44.14 55.25  0.3924
## 3949       2     1      6      5      6     12.0 27.52 22.16 27.52  1.1343
## 3951       3     1     10      5     10     16.0 67.94 51.50 67.94 -0.3527
## 3954       3     1      8      5      8     16.0 77.88 59.89 77.88  1.4126
## 3956       1     1      9      9      9     16.0 24.53 65.01 65.01 -0.8686
## 3959       2     1      8      8      8     16.0 76.65 62.45 76.65  0.9340
## 3964       4     1      9      9      9     16.0 73.91 59.89 73.91 -0.4067
## 3965       1     1      1      6      6     12.0 19.83 35.34 35.34 -0.3596
## 3966       2     1      7      7      7     14.5 73.91 62.39 73.91  2.0096
## 3967       2     1      5      5      5     12.0 62.39 71.39 71.39  0.0642
## 3976       2     0      9      9      9     16.0 81.13 81.13 81.13  1.3033
## 3980       2     1      9     10     10     16.0 35.34 51.56 51.56 -0.4900
## 3981       1     0      8      5      8     16.0 43.33 32.75 43.33 -1.1862
## 3983       1     0      8      7      8     16.0 74.79 51.01 74.79  0.5326
## 3984       2     1      8      8      8     16.0 24.98 75.13 75.13 -0.3200
## 3985       2     1      9      8      9     16.0 57.99 25.26 57.00 -0.2000
## 3986       1     1      6      5      6     12.0 73.38 52.72 73.38 -0.6314
## 3987       3     1      9      5      9     16.0 82.41 63.03 82.41 -0.0526
## 3989       2     1      8      6      8     16.0 76.65 62.39 76.65 -0.6369
## 3998       2     1      9      9      9     16.0 25.46 24.53 25.46  0.7641
## 4000       1     0      8      8      8     16.0 77.88 65.01 77.88  0.3145
## 4001       3     0      7      9      9     16.0 57.03 33.76 57.03 -0.4463
## 4005       1     1      9      7      9     16.0 68.70 17.55 68.70  0.5800
## 4006       2     1      9      9      9     16.0 76.49 78.86 78.86  1.2571
## 4007       2     1      8      9      9     16.0 53.15 73.91 73.91 -0.8741
## 4013       1     1      5      2      5     12.0 32.20 15.35 32.20 -0.3003
## 4016       3     1      9      8      9     16.0 65.01 79.05 79.05  0.6293
## 4020       1     1      8      8      8     16.0 43.33 46.38 46.38  0.8272
## 4022       3     1      8      8      8     16.0 57.97 65.12 65.12  0.4664
## 4023       2     1      8      8      8     16.0 65.01 30.14 65.01 -0.3588
## 4028       3     1      5      3      5     12.0 23.57 17.53 23.57 -0.8855
## 4029       1     1      9      9      9     16.0 56.64 24.49 56.64  0.3371
## 4031       2     1      8      7      8     16.0 68.70 57.03 68.70  0.1891
## 4034       3     1      9      9      9     16.0 76.49 70.34 76.49  1.0020
## 4037       4     1      9      5      9     16.0 57.00 14.82 57.00  0.7871
## 4040       3     0      8      8      8     16.0 68.55 74.66 74.66 -0.4646
## 4043       2     1     10      9     10     16.0 56.00 78.86 78.86  1.1900
## 4047       2     1      9      7      9     16.0 62.39 26.62 62.39  1.5160
## 4048       3     1      9      9      9     16.0 76.49 82.41 82.41  1.4326
## 4052       3     0      9      5      9     16.0 81.05 17.00 81.05  0.7610
## 4054       1     1      5      5      5     12.0 80.46 65.12 80.46  1.3721
## 4056       1     1      5      3      5     12.0 31.08 25.95 31.08  0.1891
## 4058       2     1      5      5      5     12.0 65.42 17.55 65.42 -0.1622
## 4059       1     1      9      5      9     16.0 62.39 16.36 62.39 -0.0371
## 4067       5     1     10     10     10     16.0 86.72 24.53 86.72 -0.8694
## 4068       2     1      8      8      8     16.0 16.36 15.35 16.36  0.0700
## 4074       3     1      5      5      5     12.0 56.00 24.53 56.00 -0.7318
## 4075       2     0      9      8      9     16.0 65.01 29.16 65.01  0.7159
## 4077       4     1      8      5      8     16.0 48.10 26.64 48.10 -0.1129
## 4078       2     1      8      8      8     16.0 76.65 76.65 76.65 -0.6690
## 4083       0     1     10     10     10     16.0 59.76 30.34 59.76  0.9155
## 4088       2     0      8      8      8     16.0 23.57 30.49 30.49 -0.5378
## 4091       2     1     10      9     10     16.0 68.70 31.72 68.70  0.5291
## 4101       2     1      5      5      5     12.0 14.21 27.91 27.91  0.2412
## 4108       2     1      7      7      7     14.5 16.50 16.36 16.50  0.9155
## 4110       1     1      9      9      9     16.0 86.72 73.91 86.72  2.4640
## 4114       4     0      5      7      7     14.5 43.33 36.92 43.33  1.0285
## 4115       1     1      9      5      9     16.0 68.70 35.34 68.70  0.3251
## 4119       2     1      8      8      8     16.0 72.96 72.96 72.96  0.4664
## 4122       1     1      8      9      9     16.0 51.56 15.35 51.56 -1.0302
## 4124       2     0      5      5      5     12.0 39.02 20.95 39.02 -0.3003
## 4127       1     1      5      5      5     12.0 17.55 11.74 17.55 -0.6000
## 4129       4     0      3      3      3      9.0 17.55 25.94 25.94  1.1315
## 4132       3     1      9     10     10     16.0 65.01 85.41 85.41  1.7606
## 4133       2     0      6      6      6     12.0 62.13 56.00 62.13  0.1891
## 4135       2     1      9      8      9     16.0 76.49 62.13 76.49  0.4484
## 4142       2     1      9      9      9     16.0 25.04 17.53 25.04 -0.0901
## 4144       1     1      8      5      8     16.0 32.50 17.00 32.50  1.1193
## 4145       4     1      9      9      9     16.0 66.42 54.27 66.42  0.0100
## 4146       3     1      9      9      9     16.0 70.09 70.34 70.34  0.6731
## 4147       2     1      2      8      8     16.0 24.98 30.78 30.78  0.7936
## 4149       2     1      7      6      7     14.5 21.96 35.07 35.07  0.7773
## 4150       2     1      8     10     10     16.0 74.79 86.72 86.72  0.2835
## 4152       3     1     10      7     10     16.0 56.00 76.65 76.65  1.6826
## 4155       1     1      3      2      3      9.0 16.38 16.39 16.39 -0.4259
## 4156       4     1      8      8      8     16.0 71.55 75.50 75.50  0.5326
## 4157       2     1      5      5      5     12.0 17.00 40.54 40.54 -0.7300
## 4160       1     1      3     10     10     16.0 58.05 88.70 88.70 -0.7845
## 4162       3     1      6      5      6     12.0 57.68 25.95 57.68  0.1428
## 4164       2     1      5      5      5     12.0 31.08 26.62 31.08 -1.2786
## 4166       3     1      5      9      9     16.0 17.00 50.15 50.15 -1.0310
## 4167       1     0      8      5      8     16.0 71.39 30.78 71.39 -1.2944
## 4168       5     1      8      8      8     16.0 73.91 73.91 73.91  1.4072
## 4170       1     0      7      5      7     14.5 35.34 17.79 35.34  1.0592
## 4179       2     1      9      7      9     16.0 73.91 80.46 80.46  0.8511
## 4181       4     0      2      2      2      6.0 17.00 33.76 33.76 -0.6055
## 4186       1     1      5      5      5     12.0 24.53 17.00 24.53 -0.8700
## 4192       3     1      9      9      9     16.0 79.74 79.49 79.74 -1.5583
## 4197       1     1     10      7     10     16.0 68.70 33.76 68.70 -0.1083
## 4202       2     1      8      8      8     16.0 70.89 65.42 70.89  0.8006
## 4205       3     1      8      9      9     16.0 42.30 73.38 73.38  0.1891
## 4208       1     0      8      8      8     16.0 76.49 65.01 76.49 -0.3588
## 4210       3     0      9      7      9     16.0 75.50 17.00 75.50 -0.7837
## 4214       2     0      9      9      9     16.0 43.33 71.39 71.39  2.2718
## 4222       2     0      7      7      7     14.5 68.70 26.62 68.70  0.1830
## 4226       2     1      8      8      8     16.0 60.93 65.12 65.12  0.4207
## 4232       2     1      6      6      6     12.0 64.40 28.52 64.40 -0.3732
## 4234       1     1     10      8     10     16.0 85.85 64.44 85.85 -1.0112
## 4235       2     0      7      6      7     14.5 68.70 24.85 68.70 -1.2294
## 4236       2     1      8      5      8     16.0 41.27 28.52 41.27  0.0463
## 4238       2     1      1      1      1      3.0 24.53 24.53 24.53  1.8243
## 4239       4     1      5      5      5     12.0 51.56 47.74 51.56 -0.6852
## 4241       1     1      8      8      8     16.0 57.38 25.95 57.38  1.2777
## 4246       2     1      7      6      7     14.5 30.59 68.70 68.70 -0.9615
## 4247       2     1     10      9     10     16.0 68.70 48.13 68.70  0.8142
## 4248       3     1      9      8      9     16.0 86.72 24.45 86.72 -1.1915
## 4252       2     1      7      9      9     16.0 24.98 71.39 71.39 -0.0103
## 4254       2     1      7      3      7     14.5 26.64 27.52 27.52 -0.4482
## 4259       1     0      8      8      8     16.0 65.01 57.25 65.01  1.4200
## 4260       2     1      9      8      9     16.0 70.50 59.89 70.50  0.5224
## 4262       2     0      9      9      9     16.0 81.92 70.34 81.92  1.2345
## 4264       3     0      3      5      5     12.0 65.01 51.56 65.01  0.5585
## 4266       2     1      7      7      7     14.5 79.74 74.66 79.74  0.1428
## 4269       1     1      7      9      9     16.0 18.08 58.07 58.07  0.2578
## 4271       2     1      5      5      5     12.0 51.56 70.34 70.34  0.6731
## 4275       2     0      9      8      9     16.0 72.83 23.80 72.83  0.8511
## 4283       3     0      5      7      7     14.5 24.53 71.39 71.39 -0.2576
## 4286       3     1      5      5      5     12.0 28.53 71.39 71.39  0.1891
## 4287       4     1      8      8      8     16.0 31.08 72.83 72.83  0.3924
## 4289       1     1      9      5      9     16.0 76.49 27.61 76.49 -0.0851
## 4291       2     1      5      9      9     16.0 17.55 79.05 79.05 -0.3588
## 4293       2     1      5      5      5     12.0 51.56 14.39 51.56  0.7427
## 4297       3     1      9      9      9     16.0 52.72 79.05 79.05  1.3963
## 4302       3     1      8      9      9     16.0 75.54 74.66 75.54 -0.0574
## 4303       2     1      8      5      8     16.0 39.02 25.95 39.02  0.0687
## 4304       1     1      8      5      8     16.0 73.91 21.82 73.91  0.2320
## 4306       3     0      9      8      9     16.0 68.70 84.61 84.61  0.7500
## 4309       2     0      5      7      7     14.5 68.70 58.07 68.70 -0.1114
## 4310       2     1      8      8      8     16.0 83.50 43.19 83.50 -0.7014
## 4312       2     1      5     10     10     16.0 16.38 33.76 33.76  0.0463
## 4314       3     1      7      5      7     14.5 58.77 65.12 65.12  0.7427
## 4324       2     0      5      8      8     16.0 40.56 65.01 65.01  0.1578
## 4328       2     1      9      6      9     16.0 68.70 57.97 68.70  0.1300
## 4331       2     1      9      5      9     16.0 57.99 19.78 57.00  1.1927
## 4333       2     1      8      8      8     16.0 53.15 78.86 78.86  0.5500
## 4334       2     0      6      6      6     12.0 52.72 59.89 59.89 -0.4013
## 4337       3     1      7      5      7     14.5 53.15 71.39 71.39 -0.7036
## 4339       2     1      8      8      8     16.0 74.79 59.89 74.79  0.4484
## 4340       1     1      5      7      7     14.5 16.50 51.56 51.56 -0.6259
## 4341       5     1      9      5      9     16.0 68.88 17.53 68.88  1.2602
## 4342       4     1      5      5      5     12.0 65.01 70.10 70.10 -0.0073
## 4345       3     0      9      9      9     16.0 76.49 73.38 76.49  0.4100
## 4350       4     1      8      9      9     16.0 76.49 66.42 76.49 -0.6510
## 4352       3     0     10      9     10     16.0 78.76 62.39 78.76  0.3085
## 4355       3     1      5      5      5     12.0 24.53 25.95 25.95  1.3033
## 4358       2     1      5      5      5     12.0 62.39 59.89 62.39  1.3291
## 4362       2     1      7      6      7     14.5 24.53 25.26 25.26  0.1371
## 4366       1     1      7      7      7     14.5 28.48 15.35 28.48 -0.3117
## 4370       1     1      5      9      9     16.0 30.90 65.12 65.12 -0.1700
## 4373       2     1      5      5      5     12.0 17.00 15.35 17.00 -0.2000
## 4374       2     1      9      7      9     16.0 68.70 16.50 68.70  1.0804
## 4375       4     1      8      5      8     16.0 65.23 30.34 65.23  1.1500
## 4376       2     0      9      5      9     16.0 76.49 21.82 76.49  0.5076
## 4378       3     1     10     10     10     16.0 71.45 51.01 71.45  0.1106
## 4380       1     1      8      9      9     16.0 80.46 74.66 80.46  1.5000
## 4385       2     0      8      8      8     16.0 62.39 62.39 62.39 -0.1559
## 4386       2     1      9      9      9     16.0 68.55 74.66 74.66  1.3441
## 4387       2     1      7      8      8     16.0 62.39 26.92 62.39  0.5349
## 4390       5     1      8      8      8     16.0 58.77 70.34 70.34  0.8486
## 4391       2     1      8      5      8     16.0 68.70 62.39 68.70  0.7159
## 4392       4     1      5      5      5     12.0 86.72 25.26 86.72 -0.0073
## 4393       3     1      9      9      9     16.0 70.50 73.91 73.91  1.1809
## 4395       2     0      8      8      8     16.0 73.91 43.85 73.91 -0.2137
## 4396       1     1     10     10     10     16.0 37.59 31.08 37.59  2.4004
## 4398       1     1     10      5     10     16.0 32.20 27.61 32.20  0.0526
## 4402       1     1      5      5      5     12.0 51.56 51.01 51.56 -0.7305
## 4407       1     0      9      7      9     16.0 58.07 77.10 77.10  0.8540
## 4408       2     1      5      6      6     12.0 25.04 59.89 59.89  0.8142
## 4414       4     1      7      8      8     16.0 65.01 74.66 74.66  2.1683
## 4416       2     1      8      7      8     16.0 65.12 21.13 65.12 -0.0548
## 4417       3     1      3      5      5     12.0 39.02 30.78 39.02  0.9049
## 4418       1     1      6      9      9     16.0 21.64 78.86 78.86 -0.9624
## 4419       1     1      5      1      5     12.0 28.48 59.89 59.89 -0.0900
## 4430       1     1      7      8      8     16.0 65.01 51.56 65.01  0.3344
## 4432       1     1      9      2      9     16.0 18.08 17.00 18.08 -0.0073
## 4433       1     1      6      6      6     12.0 17.00 28.03 28.03  1.5107
## 4434       2     1      7      9      9     16.0 19.66 51.50 51.50  0.0700
## 4437       3     1      8      8      8     16.0 81.40 81.40 81.40  2.2212
## 4439       1     1      9      8      9     16.0 86.72 70.34 86.72  1.3586
## 4443       2     1      8      8      8     16.0 76.49 82.41 82.41 -0.2000
## 4444       2     1      6      7      7     14.5 66.42 78.76 78.76  0.8511
## 4451       1     1      5      8      8     16.0 25.95 69.24 69.24 -0.2539
## 4452       3     0      9      5      9     16.0 75.54 71.39 75.54 -0.1129
## 4460       2     1      8      5      8     16.0 58.77 72.27 72.27 -0.1700
## 4462       4     1      9      9      9     16.0 71.39 60.92 71.39  0.1862
## 4466       1     0      8      8      8     16.0 57.99 26.62 57.00  0.3909
## 4467       2     1      5      5      5     12.0 44.94 24.53 44.94 -0.6511
## 4472       4     1      8      8      8     16.0 76.49 78.86 78.86  1.1605
## 4485       2     1      6      9      9     16.0 26.64 64.40 64.40  1.3140
## 4486       2     1      8      5      8     16.0 62.39 59.89 62.39  0.5800
## 4491       4     1      3      8      8     16.0 24.53 86.72 86.72  1.2726
## 4492       2     0      8      8      8     16.0 16.36 17.69 17.69 -0.3364
## 4493       3     0      9     10     10     16.0 71.55 70.50 71.55 -0.0073
## 4496       1     0      9      5      9     16.0 70.50 25.95 70.50  0.6731
## 4497       3     1      8      8      8     16.0 53.15 25.06 53.15  1.0229
## 4499       2     1      8      7      8     16.0 76.49 59.89 76.49 -0.0073
## 4500       2     1     10     10     10     16.0 17.00 81.92 81.92  1.3720
## 4502       5     1      8      8      8     16.0 68.70 76.65 76.65  0.4484
## 4503       2     1      8      9      9     16.0 66.42 71.29 71.29  0.7500
## 4504       1     1      9     10     10     16.0 19.83 17.79 19.83 -1.2894
## 4505       2     1      9      9      9     16.0 72.83 73.91 73.91  0.5869
## 4506       1     1      8      6      8     16.0 74.79 60.92 74.79 -1.8620
## 4511       1     0      7      7      7     14.5 76.49 53.77 76.49  0.7641
## 4516       2     1      9      6      9     16.0 68.70 18.08 68.70 -0.1287
## 4517       2     0      3      9      9     16.0 58.07 33.76 58.07 -0.6259
## 4518       3     1      5      5      5     12.0 76.65 15.35 76.65  1.4233
## 4519       2     1      8      3      8     16.0 54.55 25.95 54.55 -0.3200
## 4521       3     0      9      9      9     16.0 62.39 59.89 62.39  0.4484
## 4522       3     1     10     10     10     16.0 26.64 79.74 79.74 -0.3756
## 4529       4     0     10     10     10     16.0 68.70 34.25 68.70  0.6600
## 4530       4     1      9      9      9     16.0 82.41 54.54 82.41  0.8511
## 4532       1     1      7      6      7     14.5 57.00 23.09 57.00 -0.6259
## 4535       3     1      8      9      9     16.0 17.00 86.72 86.72 -0.0574
## 4547       2     1      7     10     10     16.0 39.02 25.95 39.02 -0.5567
## 4550       4     0      9      5      9     16.0 70.89 25.95 70.89 -0.2485
## 4552       3     1      8      8      8     16.0 57.64 65.01 65.01  0.8000
##      HOMEPOS    ESCS FCFMLRTY ICTAVSCH ICTHOME ICTAVHOM
## 3     1.1761  1.3463       15        7  0.3346        6
## 8     0.2929  0.7473       12        7  0.3346        6
## 9     1.1559  1.1772       11        7  0.3346        6
## 10    0.6069  0.8877        5        7 -0.3881        5
## 12    0.4548 -0.5548        8        7  0.3346        6
## 13    0.0469 -0.2746        7        7  0.3346        6
## 14    1.5405  0.4400       10        7  0.3346        6
## 23    0.3076  0.5608        7        7  0.3346        6
## 30   -0.8310  0.0164        1        7  0.3346        6
## 31    1.6192  1.3734       13        6  0.3346        6
## 32    0.8726  0.5100        8        7  0.3346        6
## 33    1.1777  1.2000        3        6  0.3346        6
## 36   -1.2170  0.0308        0        7  0.3346        6
## 39    1.4669  1.0914       16        7  0.3346        6
## 40    0.3289  0.6094        8        7  0.3346        6
## 43   -0.1692 -0.1180        6        6 -1.1402        5
## 48    0.0200  0.8516        2        7  0.3346        6
## 51    2.1200  1.5587        5        7  0.3346        6
## 52    0.5793  1.0935       12        7  0.3346        6
## 54   -0.1914  0.8237       16        7  0.3346        6
## 57   -0.3147  0.4560        9        7  0.3346        6
## 58   -1.0569 -2.7722        1        7  0.3346        6
## 61   -1.1769 -0.9364        2        7  0.3346        6
## 62   -0.2260  0.0809        0        7  0.3346        6
## 63   -0.0864 -0.0581        0        7  0.3346        6
## 65    0.0303  0.6021        1        6  0.3346        6
## 77    0.8349  0.3900        1        7  0.3346        6
## 82    0.7593 -0.7517        6        7  0.3346        6
## 84   -0.1331  0.5329        6        6 -1.1402        5
## 86    1.1404  1.0103        7        7  0.3346        6
## 89   -0.0243  0.1590        4        7  0.3346        6
## 93   -2.1859 -1.1307        4        7 -1.5118        5
## 94   -0.0504  0.8268       11        7  0.2630        5
## 96   -1.2657  0.0566        5        7  0.3346        6
## 97   -1.0700 -0.8535        0        7  0.3346        6
## 100   0.7872  1.1126        5        7  0.3346        6
## 107  -1.3415 -1.1196        5        2 -2.6000        4
## 108   0.5404  0.8181        0        7  0.3346        6
## 110  -0.1406 -0.0177        5        7  0.3346        6
## 117   0.5965  0.7239        0        7  0.3346        6
## 119   0.2500  1.2515        0        7  0.3346        6
## 121  -0.0694  0.0914        3        7  0.3346        6
## 122  -0.7504 -1.1413        6        7  0.3346        6
## 123   0.2285 -0.1700       12        7  0.3346        6
## 125  -0.7463  0.1464        9        7  0.3346        6
## 129   0.8870  1.2238        8        7  0.3346        6
## 132   2.3900  1.8545       10        7  0.3346        6
## 136   0.6062  0.8460        9        7  0.3346        6
## 138   0.8289  0.6467        8        7  0.3346        6
## 139   0.1110  0.7834        1        6  0.3346        6
## 140  -0.2818 -1.4923        4        7  0.3346        6
## 146   0.5877  0.8382       12        7  0.3346        6
## 148   0.0008  0.5896       10        7  0.3346        6
## 150   0.3102  0.9605        6        7  0.3346        6
## 151  -0.1505 -0.4387        7        7  0.3346        6
## 153   1.6208  0.2632       12        7  0.3346        6
## 159  -0.1000  0.3700       15        7  0.3346        6
## 162   0.0400 -2.0800        0        7  0.3346        6
## 165   1.4785  1.0124        7        6  0.3346        6
## 175  -0.7129 -1.6311        6        7  0.3346        6
## 179  -0.1235  0.7768        7        7  0.3346        6
## 180   1.2400  1.1793        7        7  0.3346        6
## 181  -0.2578  0.3609        5        7  0.3346        6
## 182  -0.1004 -0.1000        4        7  0.3346        6
## 184   0.4085 -0.7458        0        7  0.3346        6
## 187   1.0446 -0.5240       13        7  0.3346        6
## 191   1.5500  1.7400       16        7  0.3346        6
## 196   1.0928  1.2022        7        7  0.3346        6
## 201   0.3672  0.7600       11        7  0.3346        6
## 203  -0.1513  0.5252        3        7  0.3346        6
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## 1166  1.3805  1.4328       14        7  0.3346        6
## 1167 -0.4708  0.5024        0        7  0.3346        6
## 1169  1.0544  0.9167        6        7  0.3346        6
## 1170  0.3600  0.4371       10        5 -2.2168        4
## 1174  0.9638 -0.3826        7        7  0.3346        6
## 1179 -1.1477 -0.1904       11        7  0.3346        6
## 1180  0.5100  0.7300        7        7  0.3346        6
## 1182  0.2592  0.7300        6        7  0.3346        6
## 1185 -1.0300 -0.4935       11        7 -1.1402        5
## 1186  0.0174 -0.1620        0        7  0.3346        6
## 1187 -0.2222 -1.5747        3        7  0.3346        6
## 1193  1.0738  1.1711        6        6  0.3346        6
## 1198  2.4541  1.8371       10        7  0.3346        6
## 1199  0.0791  1.0004       12        6  0.3346        6
## 1202  0.3174  0.8708        8        7  0.3346        6
## 1204  0.3160  1.1007        8        5 -2.3500        3
## 1206 -0.4402 -2.0968        5        7 -0.3881        5
## 1208 -0.4162  0.2123        7        7  0.3346        6
## 1209  1.1200  1.2721       16        0 -6.3292        0
## 1211 -1.2394 -1.1000        3        6 -1.1402        5
## 1212  0.3100  1.3759        7        7  0.3346        6
## 1221  1.7378  1.1227        0        7  0.3346        6
## 1222 -0.0017 -0.6726        0        6 -1.5285        5
## 1223  0.5253  0.8625        0        7  0.3346        6
## 1224  0.1000 -0.7200        2        7  0.3346        6
## 1227  0.5742  1.0279        7        7  0.3346        6
## 1228  0.3115  1.0915        4        7  0.3346        6
## 1229  0.8312  0.2300        5        7  0.3346        6
## 1231  0.6177 -1.7300       11        7  0.3346        6
## 1235  0.1705  0.6587        7        7  0.3346        6
## 1236  0.8464  1.0603        3        6 -1.1402        5
## 1242  0.6603 -0.0087        5        6  0.3346        6
## 1243  0.3481  0.1400        0        7  0.3346        6
## 1244  0.3865  0.2493       11        7  0.3346        6
## 1245  0.7600  0.5132        7        7  0.3346        6
## 1246 -0.9417 -0.6872       11        6  0.3346        6
## 1248 -0.3312 -1.0434        5        7  0.3346        6
## 1249  0.1614  0.2687       10        7  0.3346        6
## 1253  0.9617  1.0306       11        7  0.3346        6
## 1258  0.7465 -0.0387        9        7  0.3346        6
## 1260 -0.0213 -0.3352        7        7  0.3346        6
## 1261  0.6063  0.6430        0        7  0.3346        6
## 1264  1.2189  1.3140        6        7  0.3346        6
## 1269 -0.3808  0.1044       15        7  0.3346        6
## 1273 -0.3051  0.4570        7        7  0.3346        6
## 1274  1.6909  1.4325       10        6  0.3346        6
## 1278  0.5801  0.7653       10        7  0.3346        6
## 1279  0.5753  0.5393        0        7  0.3346        6
## 1283 -0.5800 -1.6721        9        7  0.3346        6
## 1284  0.4200  0.0830       11        7  0.3346        6
## 1285  0.4269  0.9172        1        6  0.3346        6
## 1286  0.4448  0.5272        9        7  0.3346        6
## 1295  1.1334 -0.3214        8        7  0.3346        6
## 1299 -0.9275 -1.5560        0        7  0.3346        6
## 1307 -0.0523 -0.1489       10        7  0.3346        6
## 1308 -0.1966  0.4363        3        7  0.3346        6
## 1311 -0.4480 -0.6245        3        7  0.3346        6
## 1313 -0.2136 -0.2700        8        7  0.3346        6
## 1319 -0.3121 -1.1968        8        6 -1.5315        5
## 1320  0.6754 -0.0132        0        7  0.3346        6
## 1322 -0.4522  0.5269        3        6  0.3346        6
## 1323  1.0932  1.2441       11        7  0.3346        6
## 1328  0.3177 -0.3472       10        7  0.3346        6
## 1329 -0.2261 -0.9610        5        6  0.3346        6
## 1338  0.3706  0.1688       11        7  0.3346        6
## 1341 -1.3579 -0.3225        1        3 -1.1402        5
## 1343 -0.2483  0.4841        8        6  0.3346        6
## 1344 -0.0920 -0.0101        7        6 -1.1402        5
## 1354  1.4381  1.5139       12        7  0.3346        6
## 1355  1.7568  0.0960        8        7  0.3346        6
## 1357  1.4188  0.8535        5        5 -1.5118        5
## 1359 -0.5300 -0.5170        7        5 -1.1402        5
## 1364  0.4142  0.8061        7        7  0.3346        6
## 1366 -1.4086 -1.2447        0        7 -2.3500        3
## 1371  0.5647  0.5037        0        6  0.3346        6
## 1375 -0.0582 -0.9069        2        7  0.3346        6
## 1377  1.2402  1.2129       12        7  0.3346        6
## 1378 -0.3915  0.4648        0        7  0.3346        6
## 1380 -0.6672 -0.4500        9        7  0.3346        6
## 1381 -0.4301  0.4381       10        7  0.3346        6
## 1383  0.8561  1.1603        8        7  0.3346        6
## 1385  1.1075  0.5464       10        7  0.3346        6
## 1392  1.4942  1.2221        5        7  0.3346        6
## 1393  1.9463  1.6221       15        7  0.3346        6
## 1395 -0.0083  0.4575       11        7  0.3346        6
## 1397  1.0114  1.1468        6        7  0.3346        6
## 1404  0.2424  0.5882        5        7  0.3346        6
## 1405  0.6004 -1.1751        0        7  0.3346        6
## 1407  1.0255  1.2732        0        7  0.3346        6
## 1408 -0.4519  0.2104        9        6 -2.0937        4
## 1411  0.5554  0.0284        0        7  0.3346        6
## 1415  1.5690  1.1841       14        7  0.3346        6
## 1417  1.2137  1.2100       10        7  0.3346        6
## 1420  1.1621  0.8808        6        7  0.3346        6
## 1422 -0.7137  0.0731        3        7  0.3346        6
## 1424  0.2673 -0.6342        8        7  0.3346        6
## 1427 -0.6770  0.1018        4        7  0.3346        6
## 1429  0.0026 -0.2529        2        7  0.3346        6
## 1437  0.6900  0.9266       11        0 -6.3292        0
## 1438 -0.8624 -0.7777        9        7  0.3346        6
## 1440  1.7422  1.4542        8        7  0.3346        6
## 1442  0.9101  1.2336        7        7  0.3346        6
## 1443  1.3557  1.5337        4        7  0.3346        6
## 1445 -0.3878 -0.2048        6        7  0.3346        6
## 1447  2.1265  1.5783       14        7  0.3346        6
## 1448  0.6834 -0.7744        0        5  0.3346        6
## 1449  0.7783  1.1778        6        7  0.3346        6
## 1450  0.0103  0.7836        7        7  0.3346        6
## 1451  0.3150  0.2242        9        7  0.3346        6
## 1452 -0.1760 -0.2924        2        7  0.3346        6
## 1458 -0.1300  0.4605       10        7  0.3346        6
## 1459  0.4456  0.3357        1        5 -3.8344        2
## 1460  1.3948  1.2308       13        7  0.3346        6
## 1461  1.6120  1.2577        5        7  0.3346        6
## 1467 -0.7725  0.2621        0        7  0.3346        6
## 1470 -0.3313  0.4490        6        6  0.3346        6
## 1474  1.1631  1.4221        4        7  0.3346        6
## 1478  1.4426  0.5961        6        7  0.3346        6
## 1479  2.1767  1.8514        2        7  0.3346        6
## 1481 -0.1901 -1.5546        6        6  0.3346        6
## 1484  0.2874  0.8696       10        7  0.3346        6
## 1485  0.2810 -0.2358        9        7  0.3346        6
## 1486  1.8650  1.7568       12        7  0.3346        6
## 1488 -0.5735 -1.1784        3        7  0.3346        6
## 1497  1.0452  1.2274       10        7  0.3346        6
## 1505  0.3725  0.1010        0        7  0.3346        6
## 1511 -0.6234 -1.1292        6        7  0.3346        6
## 1514  0.1800  0.4691        7        7  0.3346        6
## 1515 -0.2932  0.5319        0        6 -0.3881        5
## 1517 -0.0371  0.7237        6        7  0.3346        6
## 1518  1.1534  1.3274        9        7  0.3346        6
## 1519  0.2426  0.7334       13        7  0.3346        6
## 1522  0.7491  0.8369        9        6 -1.1402        5
## 1523  0.2866 -0.7250       10        6  0.3346        6
## 1524 -0.2615  0.5125        3        7  0.3346        6
## 1527  1.9328  1.6667        3        7  0.3346        6
## 1531 -0.0100 -0.1083       16        7  0.3346        6
## 1532 -0.7637 -2.3800        3        7  0.3346        6
## 1533  0.5681  0.8333       12        7  0.3346        6
## 1534  0.3073  0.7228        9        7  0.3346        6
## 1540 -0.4332 -0.0142        0        7  0.3346        6
## 1541 -0.1312  0.5337        9        7  0.3346        6
## 1543  0.4745 -1.1646        4        5 -2.2168        4
## 1549  1.4689  1.3385        0        7  0.3346        6
## 1550  1.0524  1.2435       15        6  0.3346        6
## 1558 -0.8342 -0.7646        1        7  0.3346        6
## 1565 -0.4585 -0.6490       16        6  0.3346        6
## 1573 -0.4083  0.4473        6        6  0.3346        6
## 1576 -0.8217 -0.7860        0        7  0.3346        6
## 1582  0.3545  0.8686       13        7  0.3346        6
## 1586  0.5585  0.2372        9        6  0.3346        6
## 1588  0.9133  0.9064       12        6  0.3346        6
## 1591  1.1715  1.2355        4        7  0.3346        6
## 1592 -0.1157  0.5437       16        7  0.3346        6
## 1593  1.3327  1.1537       15        6  0.3346        6
## 1602  1.2548  1.2708        6        7  0.3346        6
## 1605 -0.1911 -0.8283        5        7  0.3346        6
## 1608  1.2960  1.5085       16        7  0.3346        6
## 1611 -0.0400 -0.0067        6        7  0.3346        6
## 1612  0.7496  0.8637        5        7  0.3456        5
## 1618 -0.1200  0.5700       11        7  0.3346        6
## 1619 -0.9028 -1.8603        2        7  0.3346        6
## 1623  0.5100  0.9078        8        7  0.3346        6
## 1627 -0.2557  0.4810       11        7  0.3346        6
## 1628 -0.3527 -0.3068        5        7  0.3346        6
## 1630  0.4353 -0.4862        7        7  0.3346        6
## 1632 -0.5258  0.0205        4        7  0.3346        6
## 1636  0.5300  1.0823        9        6  0.3346        6
## 1641  0.8340 -0.4846        9        7  0.3346        6
## 1650 -1.2823  0.2025        3        7 -2.6000        4
## 1655 -0.7527 -1.3721        0        7  0.3346        6
## 1658 -1.1231 -1.3579        0        7  0.3346        6
## 1659 -0.6810 -0.3500        0        6 -2.4608        4
## 1664  0.3865  0.7000        8        7  0.3346        6
## 1666  0.0514  0.3117        0        7  0.3346        6
## 1668  0.5396  0.6700        0        7  0.3346        6
## 1671  0.8235  1.1778        0        7  0.3346        6
## 1673  1.7700  0.7131        5        7  0.3346        6
## 1674  1.1448  0.6100       11        7  0.3346        6
## 1677 -0.3705  0.4862        0        7 -1.8457        5
## 1680  0.1210  0.6405       10        7 -1.1402        5
## 1681 -0.5621 -0.4701       11        7  0.3346        6
## 1684  1.7963  1.5419       13        7  0.3346        6
## 1686 -0.0008 -0.4103        7        7  0.3346        6
## 1689 -0.0427  0.6837        7        6  0.3346        6
## 1690 -0.9403 -2.5200        0        7  0.3346        6
## 1698  1.6012  1.5829       16        7  0.3346        6
## 1699  1.5633  1.0237       13        7  0.3346        6
## 1702  0.2718 -0.5726        4        6  0.3346        6
## 1704  1.3643  1.2796        8        6  0.3346        6
## 1706  0.8900  1.1425        6        7  0.3346        6
## 1711  0.3343  0.8900        6        7  0.3346        6
## 1713  1.7500  1.1655        0        7  0.3346        6
## 1715 -0.7815  0.3874       11        7  0.3346        6
## 1718  0.2825  0.9487       14        7  0.3346        6
## 1720  0.5377  1.1572        8        7  0.3346        6
## 1723  0.4004  0.8714        4        7  0.3346        6
## 1724  0.5181 -1.0059        0        7  0.3346        6
## 1725  0.4559  0.9038        5        7  0.3346        6
## 1740  0.8145  0.5140        4        7  0.3346        6
## 1747  0.0700  0.5119       16        7  0.3346        6
## 1749 -0.6511 -0.1236        0        7  0.3346        6
## 1751  0.0017 -2.0686       11        7  0.3346        6
## 1754 -0.6127 -1.3234       11        7  0.3346        6
## 1758  0.5819  0.0763        9        7  0.3346        6
## 1761 -0.6434  0.2492        9        7  0.3346        6
## 1764 -2.1069 -2.2464        0        6 -1.5285        5
## 1769  1.3945  0.3441       10        7  0.3346        6
## 1770 -0.9219  0.4577        0        7  0.3346        6
## 1773  0.6592  0.7444        8        7  0.3346        6
## 1776  0.7183 -0.3152        5        7  0.3346        6
## 1779  2.1526  1.7094        0        7  0.3346        6
## 1780  0.3246  0.7681        8        6  0.3346        6
## 1781  0.0100  0.6558       14        7  0.3346        6
## 1782  0.5671  0.0828        7        7  0.3346        6
## 1786 -0.0360  0.3531        3        7  0.3346        6
## 1787 -0.5559  0.6941        0        6 -1.1402        5
## 1788 -0.1748  0.5492        8        6  0.3346        6
## 1789 -0.4519 -2.7571        3        6  0.3346        6
## 1792  1.0530  1.2633       10        7  0.3346        6
## 1794  0.9051  0.5017       16        7  0.3346        6
## 1799  0.3936  0.7300        2        7  0.3346        6
## 1803  1.6675  0.8755        9        7  0.3346        6
## 1812  0.5308 -0.0636        7        7  0.3346        6
## 1819  0.5262 -1.2065        8        7  0.3346        6
## 1823  0.5380  0.7475        0        7  0.3346        6
## 1830  0.5337 -0.1864        6        7  0.3346        6
## 1832  1.4100  1.2318       11        7  0.3346        6
## 1837  0.2362 -0.0210        5        7  0.3346        6
## 1839 -0.2282 -2.6000        0        7  0.3346        6
## 1841 -0.2048  0.4885        7        7  0.3346        6
## 1843  0.0008 -1.2548       10        7  0.3346        6
## 1844 -1.1000  0.4221       16        7  0.3346        6
## 1846  0.3580  0.1789        0        7  0.3346        6
## 1847 -0.2075  0.0000        7        7  0.3346        6
## 1848  0.7564  0.9096        9        7  0.3346        6
## 1851 -0.2338  0.4903        9        7  0.3346        6
## 1857  0.4303  0.4722        6        7  0.3346        6
## 1858  0.0902  0.6131        6        7  0.3346        6
## 1859 -1.0664  0.0358        6        7  0.3346        6
## 1870 -0.3614 -0.1238        6        7  0.3346        6
## 1877 -1.6670 -1.1566        6        7 -1.8457        5
## 1879 -0.0486  0.8842       12        7  0.3346        6
## 1883 -0.1300  0.6500       11        7  0.3346        6
## 1886  0.8882  0.6637       10        7  0.3346        6
## 1887 -0.0936 -0.5763        0        7  0.3346        6
## 1890  0.1213 -0.8305        5        7  0.3346        6
## 1891 -0.8027 -0.1300       10        7  0.3346        6
## 1900 -0.7829 -2.3371        8        6  0.3346        6
## 1902  2.2181  1.2294        2        7  0.3346        6
## 1903  2.0426  1.5835        0        7  0.3346        6
## 1904  0.0921 -0.1663        0        7  0.3346        6
## 1907  0.2826 -0.2552        7        7  0.3346        6
## 1908  0.7649  1.0633        6        7  0.3346        6
## 1910  1.4923  1.3400       10        7  0.3346        6
## 1911  1.0200  0.7612       14        7  0.3346        6
## 1912  3.4458  2.3889       12        5  0.3346        6
## 1915 -0.0321  0.7841       14        7  0.3346        6
## 1917 -0.3660  0.4343        6        7  0.3346        6
## 1918 -0.9278 -1.1966       12        6  0.3346        6
## 1921  1.4004  1.2708       15        7  0.3346        6
## 1927 -1.0532  0.0414        7        1  0.3346        6
## 1928  0.2166  0.6810       10        7  0.3346        6
## 1929  0.5918  0.7208        2        7  0.3346        6
## 1933  0.9401  1.2272       14        7  0.3346        6
## 1934 -0.5903  0.2146        7        7  0.3346        6
## 1937  0.8139  0.9650       10        7  0.3346        6
## 1941 -0.2472  0.6317        8        6 -1.1402        5
## 1943 -0.0260 -0.9663        0        7  0.3346        6
## 1950  0.2752  0.8700       10        7  0.3346        6
## 1953  0.0159  0.7859       10        7  0.3346        6
## 1954 -0.1662 -0.4817        0        7  0.3346        6
## 1956 -0.4218 -1.6080        6        2  0.3346        6
## 1959  0.1431  0.9087        3        7  0.3346        6
## 1961  0.5274  0.8126       10        5 -1.1402        5
## 1963  0.7791  1.1277       10        7  0.3346        6
## 1965 -0.1640  0.5538       14        7  0.3346        6
## 1966  0.9615  1.3741        3        7  0.3346        6
## 1968  0.1216  0.8326        5        7  0.3346        6
## 1970 -0.3879 -0.5532        0        7  0.3346        6
## 1971  0.2236  0.4238        9        7  0.3346        6
## 1975  1.6600  1.4825       11        7  0.3346        6
## 1980  0.5135  0.5864        6        7  0.3346        6
## 1981  0.5561  0.1900        8        7  0.3346        6
## 1987  1.5885  1.6023       12        6  0.3346        6
## 1989  0.2130 -1.2155       12        7  0.3346        6
## 1991  0.3026  0.8645        0        7 -2.6000        4
## 1992  0.5300  0.9432       10        7  0.3346        6
## 1994  1.1134  1.2109       11        7  0.3346        6
## 1996  1.8613  1.6878        9        7  0.3346        6
## 1999  1.4833  0.7949       11        7  0.3346        6
## 2002  0.5432  0.9077        4        7  0.3346        6
## 2004  0.2935  0.6439       16        7  0.3346        6
## 2006  0.6388  0.3906        6        7  0.3346        6
## 2009  0.0000  0.5600        0        7  0.3346        6
## 2011 -0.9652 -0.6267        7        0 -6.3292        0
## 2018 -0.4410  0.7427       16        7  0.3346        6
## 2022 -0.0103  0.8130        8        7  0.3346        6
## 2030 -0.5300  0.1151       12        7  0.3346        6
## 2033  0.0000  0.4188        6        7  0.3346        6
## 2040  1.3100  1.3764        9        7  0.3346        6
## 2048  1.7444  1.6683        5        7  0.3346        6
## 2052 -0.5691  0.1085        0        5 -1.3642        5
## 2057  0.0119 -0.7424        0        6 -1.3642        5
## 2060  0.2801  0.7079        3        7  0.3346        6
## 2062  0.2150  0.1535        6        7  0.3346        6
## 2068 -0.4074 -0.6492        8        7  0.3346        6
## 2069  1.1271  1.0666        0        7  0.3346        6
## 2076 -1.1103 -2.9663        7        7  0.3346        6
## 2077  0.3000  0.7841        9        7  0.3346        6
## 2084 -1.1696  0.2230        0        6 -1.5285        5
## 2092  0.7564  0.9096        9        7  0.3346        6
## 2095 -0.3678 -0.9326        7        7  0.3346        6
## 2098  0.6087  1.0034        6        7  0.3346        6
## 2102  0.2329  0.2187        8        7  0.3346        6
## 2103 -0.3272  0.8283        2        5  0.3346        6
## 2104  0.7200  0.6780        4        7  0.3346        6
## 2108 -1.8369 -2.4489        6        7  0.3346        6
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## 2147  0.3333  0.0535        5        3 -6.3292        0
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## 3105  1.1494  1.2262       13        6 -1.1402        5
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## 3976  1.4600  1.4464        0        7  0.3346        6
## 3980  0.4600  0.4768        2        7 -2.6871        4
## 3981 -1.4653 -0.5103        6        7  0.3346        6
## 3983  0.8048  1.0451        5        7  0.3346        6
## 3984  0.6179  0.2400        9        7  0.3346        6
## 3985  0.6016  0.6418        2        7  0.3346        6
## 3986  0.6592  0.2700        6        7  0.3346        6
## 3987  0.4800  1.0500       15        7  0.3346        6
## 3989 -0.3400  0.5706       11        7  0.3346        6
## 3998  0.0532 -0.2046        0        7  0.3346        6
## 4000  0.6049  1.0188        9        7  0.3346        6
## 4001 -0.0522  0.3468        5        7  0.3346        6
## 4005  0.5049  0.8031        9        6  0.3346        6
## 4006  2.2503  1.7342        6        7  0.3346        6
## 4007 -0.5841  0.4403        7        7  0.3346        6
## 4013 -0.0686 -0.8059        4        5  0.3346        6
## 4016  0.6459  1.0583        2        7  0.3346        6
## 4020  0.7831  0.4500       12        7  0.3346        6
## 4022  1.1676  1.0162       16        7  0.3346        6
## 4023  0.1571  0.5861       11        7  0.3346        6
## 4028  0.0491 -0.9190       10        7  0.3346        6
## 4029 -0.1364  0.3038        9        7 -1.1402        5
## 4031  0.0662  0.6173       10        7  0.3346        6
## 4034 -0.0111  0.7316        4        5  0.3346        6
## 4037 -0.0847  0.3325        0        7  0.3346        6
## 4040 -0.7792  0.3718       12        7  0.3346        6
## 4043  1.5700  1.4586       14        7  0.3346        6
## 4047  0.5560  0.7056        0        7  0.3346        6
## 4048  1.7257  1.5790       14        7  0.3346        6
## 4052 -0.0042  0.8207        2        7  0.3346        6
## 4054 -0.0609  0.1086        0        7  0.3346        6
## 4056  0.5183 -0.5785        0        7  0.3346        6
## 4058 -0.0812 -0.1840        6        7  0.3346        6
## 4059  0.4163  0.6464       11        7  0.3346        6
## 4067 -0.0321  0.9159       16        7  0.3346        6
## 4068  0.3863 -0.2354       11        7  0.3346        6
## 4074 -0.4279 -0.5087        0        6  0.3346        6
## 4075  0.2314  0.6176        1        7  0.3346        6
## 4077 -1.1005 -0.2658        8        7  0.3346        6
## 4078 -0.6529  0.4628        5        7  0.3346        6
## 4083  1.1558  0.9100       10        6  0.3346        6
## 4088 -0.1622 -0.2009        2        7  0.3346        6
## 4091  0.3296  0.7289        6        7  0.3346        6
## 4101  0.3152 -0.7243        1        7  0.3346        6
## 4108 -0.0300 -0.6629        0        7  0.0800        5
## 4110  1.0337  1.3673        3        7  0.3346        6
## 4114  0.9432  0.2559        3        7  0.3346        6
## 4115  0.8112  0.9329       12        5 -1.1402        5
## 4119  0.0854  0.7059       12        7  0.3346        6
## 4122 -0.8142 -0.0792        5        6  0.3346        6
## 4124 -0.7253 -0.5300        7        5 -1.1402        5
## 4127 -0.3324 -1.1942       10        7  0.3346        6
## 4129 -0.3382 -1.5460        5        7  0.3346        6
## 4132  1.7742  1.6562       11        7  0.3346        6
## 4133  0.5277  0.0118       12        7  0.3346        6
## 4135  0.5844  0.3900        8        6 -1.1402        5
## 4142  1.0960  0.2291        5        6  0.3346        6
## 4144  1.0828  0.3644       13        7  0.3346        6
## 4145  0.6118  0.8053        7        7  0.3346        6
## 4146  1.0631  1.0705       12        7  0.3346        6
## 4147 -0.7275 -0.4348        0        5  0.1677        3
## 4149  0.7933  0.0364        6        7 -2.5935        4
## 4150  0.2373  1.0300       10        6  0.3346        6
## 4152  2.5114  1.8030        4        7  0.3346        6
## 4155 -0.8363 -1.9373        2        7  0.3346        6
## 4156  1.2128  1.2313        1        7  0.3346        6
## 4157 -0.6196 -0.8818        7        7  0.3346        6
## 4160 -0.2394  0.8655       10        5  0.3346        6
## 4162  0.4166 -0.1193        2        7  0.3346        6
## 4164 -0.7200 -1.1029        8        6  0.3346        6
## 4166 -0.9091 -0.1460        7        6  0.3346        6
## 4167 -0.6231  0.3762        0        6 -2.0937        4
## 4168  1.2674  1.2244        6        7  0.3346        6
## 4170  0.7100  0.0436       14        7  0.3346        6
## 4179  0.3840  0.4000        8        6 -1.1402        5
## 4181 -0.3394 -1.9066        4        7  0.3346        6
## 4186 -1.3929 -1.5116        0        7  0.3346        6
## 4192 -2.0286 -0.0615        0        7  0.3346        6
## 4197 -0.7402  0.2758        1        7  0.3346        6
## 4202  1.2161  1.1457       10        7  0.3346        6
## 4205  0.8573  1.0407        7        7  0.3346        6
## 4208  0.3145  0.8600       15        5 -2.2168        4
## 4210  0.3145  0.8509       11        7  0.3346        6
## 4214  2.1835  1.5648       10        0 -6.3292        0
## 4222 -0.4373  0.1502        6        6 -1.1402        5
## 4226  0.4706  0.7210        9        7  0.3346        6
## 4232 -0.5112 -0.3854        6        7  0.3346        6
## 4234 -0.3692  0.7567        6        5  0.3346        6
## 4235 -0.7189  0.0309       12        7  0.3346        6
## 4236 -0.7179 -0.2327        9        7  0.3346        6
## 4238  0.1892 -2.3647        6        7  0.3346        6
## 4239 -0.8091 -0.7540        0        7  0.3346        6
## 4241  0.0876  0.4127       14        7  0.3346        6
## 4246 -0.9371 -0.0615        9        7  0.3346        6
## 4247  1.0242  1.0231        4        7  0.3346        6
## 4248  0.2836  1.0496       16        7  0.3346        6
## 4252  0.0808  0.6743        2        7  0.3346        6
## 4254 -0.7330 -0.7526       11        7  0.3346        6
## 4259  1.3412  1.0877        0        7  0.3346        6
## 4260  0.1284  0.6776       10        7  0.3346        6
## 4262  1.1393  1.3214       16        6  0.3346        6
## 4264  0.7919  0.1780        2        7  0.3346        6
## 4266  0.8237  0.8927        5        7  0.3346        6
## 4269  0.4148  0.5642        1        7  0.3346        6
## 4271  1.2705  0.4814        0        7  0.3346        6
## 4275  0.7605  0.9300       10        7  0.3346        6
## 4283 -0.2881  0.2642        4        6  0.3346        6
## 4286  0.7527  0.2819       11        7  0.3346        6
## 4287  0.7564  0.7600        5        7  0.3346        6
## 4289  0.3200  0.8760       10        7  0.3346        6
## 4291 -0.0857  0.7484       16        6 -1.1402        5
## 4293  0.6305 -0.1443        8        6  0.3346        6
## 4297  2.1690  1.7033        8        7  0.3346        6
## 4302  0.6243  0.2800       14        6  0.3346        6
## 4303 -0.0592  0.0038        4        7  0.3346        6
## 4304  0.4140  0.8630        0        7  0.3346        6
## 4306  0.5379  1.1175        7        7  0.3346        6
## 4309  0.2504  0.4415        5        7  0.3346        6
## 4310  0.2006  0.3700       10        7  0.3346        6
## 4312  0.0605 -0.0448       15        7  0.3346        6
## 4314  0.8240  0.6168        4        7 -1.8457        5
## 4324  0.1200  0.6036        0        7  0.3346        6
## 4328  0.0416  0.6069        5        6 -1.1402        5
## 4331 -0.2717  0.2720        0        7  0.3346        6
## 4333  1.1360  1.2622       15        6 -1.1402        5
## 4334 -0.8464 -0.6125       13        7  0.3346        6
## 4337 -0.2843  0.2658        1        7  0.3346        6
## 4339  0.4442  0.8924       12        7  0.3346        6
## 4340 -0.3126 -0.1206        6        6 -1.1402        5
## 4341 -0.2872  0.4710        7        1 -3.3252        3
## 4342 -0.1809 -0.1379        5        7  0.3346        6
## 4345  0.0000  1.1555       13        7  0.3346        6
## 4350 -0.2900  0.6102       11        7  0.3346        6
## 4352 -0.0524  0.7570       11        7  0.3346        6
## 4355 -0.5033 -1.1080        7        5 -1.1402        5
## 4358  0.4900  0.2145        5        7  0.3346        6
## 4362  0.2353 -0.3851        2        5 -1.1402        5
## 4366  0.0641 -0.3969       16        7  0.3346        6
## 4370  0.2302  0.6192        2        7  0.3346        6
## 4373  0.1167 -1.0144        0        7  0.3346        6
## 4374  0.1707  0.6616        8        7  0.3346        6
## 4375  0.6857  0.8142        6        7  0.3346        6
## 4376 -0.5603  0.4000        5        7  0.3346        6
## 4378  0.7640  0.9648        7        7  0.2630        5
## 4380  1.2700  1.3533        8        7  0.3346        6
## 4385 -0.3022  0.3421        8        5  0.3346        6
## 4386  2.4096  1.7223       15        7  0.3346        6
## 4387  0.6850  0.7603        7        5  0.3346        6
## 4390  1.7587  1.3651       12        5  0.3346        6
## 4391  0.6500  1.0071        6        7  0.3346        6
## 4392  0.7931  0.5885        9        7  0.3346        6
## 4393  0.9092  1.0727       13        7  0.3346        6
## 4395  0.2457  0.7917        4        7  0.3346        6
## 4396  0.2936  0.1262        0        7  0.3456        5
## 4398 -0.5609 -0.3375        7        7  0.3346        6
## 4402 -0.5480 -0.6434        8        7  0.3346        6
## 4407  0.5550  0.2900       12        7  0.3346        6
## 4408  0.6166  0.0071        9        7  0.3346        6
## 4414  2.5453  1.7700        6        7  0.3346        6
## 4416 -0.0736  0.4905        7        7  0.3346        6
## 4417  1.2800 -0.1060       16        7  0.3346        6
## 4418  0.2067  0.8686        9        7  0.3346        6
## 4419 -0.0260 -0.2650        4        6  0.3346        6
## 4430  0.3200  0.6593       10        6 -1.1402        5
## 4432 -0.3272 -0.5051        8        7  0.3346        6
## 4433  1.0732 -0.4010        8        7 -1.8457        5
## 4434 -0.0127  0.2591       11        7  0.3346        6
## 4437  1.7008  1.5494        6        7  0.3346        6
## 4439  1.7114  1.6543       11        0 -6.3292        0
## 4443  0.5004  1.0601       14        7  0.3346        6
## 4444  0.9231  0.9163        5        7  0.3346        6
## 4451 -0.0613  0.5735       13        7  0.3346        6
## 4452 -0.7063  0.4193        6        5  0.3346        6
## 4460  0.1444  0.7178       10        7  0.3346        6
## 4462  0.6566  0.9181        8        7  0.3346        6
## 4466  0.6620  0.6674       12        7  0.3346        6
## 4467  0.3896 -0.3713        0        7  0.3346        6
## 4472  1.8019  1.5443       14        7  0.3346        6
## 4485  0.9490  0.9100        5        7  0.3346        6
## 4486  0.4730  0.6704       10        7  0.3346        6
## 4491  1.2600  1.4782        0        7  0.3346        6
## 4492 -0.5902 -0.6238        2        7  0.3346        6
## 4493 -0.1682  0.5718       11        7  0.3346        6
## 4496  1.2592  1.1566        0        7  0.3346        6
## 4497  1.1396  0.7783        9        7  0.3346        6
## 4499 -0.3061  0.6067        2        7  0.3346        6
## 4500  1.5585  1.4000        1        7  0.3346        6
## 4502  0.6700  1.1446       12        7  0.3346        6
## 4503  0.6666  0.9205        7        7  0.3346        6
## 4504 -0.2785 -0.4514        4        5  0.3346        6
## 4505  0.8823  1.0613       11        7  0.3346        6
## 4506 -1.4891  0.0736        9        5 -1.6481        4
## 4511  0.0053  0.4848        8        7  0.3346        6
## 4516 -0.2825  0.4696        8        7  0.3346        6
## 4517 -0.9665 -0.0208        6        7  0.3346        6
## 4518  0.2048  0.1492        3        7  0.3346        6
## 4519 -0.2258  0.2265       10        7 -2.6000        4
## 4521  0.2358  0.5700        5        6 -1.1402        5
## 4522 -1.0389  0.3577        0        7  0.3346        6
## 4529  1.5668  1.2529        9        7  0.3346        6
## 4530  2.1123  1.7428       15        6  0.3346        6
## 4532 -1.2218 -0.4030        7        7  0.3346        6
## 4535  0.7940  1.2658        6        7  0.3346        6
## 4547 -0.2706 -0.0857        6        7  0.3346        6
## 4550  0.6006  0.8850        7        7  0.3346        6
## 4552  1.4200  1.1252        8        7  0.3346        6

Veri Atamaya Dayali Yontemler

Ortalama ile Atama

  • Kayip degerleri → degiskenin ORTALAMASI ile doldurma:
USA3 <- USA
USA3$IMMIG[is.na(USA3$IMMIG)] <- mean(USA3$IMMIG, na.rm=T) 
summary(USA3$IMMIG)  # minimum, ceyreklikler, medyan, ortalama ve maksimum degerler
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   1.000   1.000   1.000   1.284   1.284   3.000
sd(USA$IMMIG, na.rm=T)    # 0.5522986
## [1] 0.5522986
DONGU ile Ortalama Atama
  • Birden fazla degisken icin kayip degerleri ORTALAMA ile doldurma:
USA4 <- USA[,21:23]
for(i in 1:ncol(USA4)){
  USA4[ , i][is.na(USA4[ , i])] <- mean(USA4[ , i], na.rm = T)
}
any_na(USA4)  # FALSE
## [1] FALSE
apply() fonksiyonu ile:
USA5 <- USA[, 21:23]
USA5 <- apply(USA5, 2, function(x) ifelse(is.na(x), mean(x, na.rm = T), x))
USA5 <- as.data.frame(USA5)
any_na(USA5)   # FALSE
## [1] FALSE
TRANSFORM Fonksiyonu ile Atama
  • TRANSFORM fonksiyonunu kullanarak kayip degerleri ORTALAMA ile doldurma:
USA6 <- USA
USA6 = mutate(USA6, IMMIG = ifelse(is.na(IMMIG), mean(IMMIG, na.rm=T), IMMIG))
summary(USA6)
##      CNT               CNTSTUID             AGE            GRADE         
##  Length:4552        Min.   :84000002   Min.   :15.33   Min.   :-2.00000  
##  Class :character   1st Qu.:84002087   1st Qu.:15.58   1st Qu.: 0.00000  
##  Mode  :character   Median :84004102   Median :15.83   Median : 0.00000  
##                     Mean   :84004088   Mean   :15.83   Mean   : 0.09183  
##                     3rd Qu.:84006118   3rd Qu.:16.08   3rd Qu.: 0.00000  
##                     Max.   :84008157   Max.   :16.33   Max.   : 2.00000  
##                                                                          
##      IMMIG           LANGN           REPEAT            MISSSC      
##  Min.   :1.000   Min.   :156.0   Min.   :0.00000   Min.   :0.0000  
##  1st Qu.:1.000   1st Qu.:313.0   1st Qu.:0.00000   1st Qu.:0.0000  
##  Median :1.000   Median :313.0   Median :0.00000   Median :0.0000  
##  Mean   :1.284   Mean   :314.6   Mean   :0.08077   Mean   :0.0665  
##  3rd Qu.:1.284   3rd Qu.:313.0   3rd Qu.:0.00000   3rd Qu.:0.0000  
##  Max.   :3.000   Max.   :859.0   Max.   :1.00000   Max.   :1.0000  
##                  NA's   :208     NA's   :256       NA's   :448     
##     SKIPPING         TARDYSD        EXERPRAC         STUDYHMW     
##  Min.   :0.0000   Min.   :0.00   Min.   : 0.000   Min.   : 0.000  
##  1st Qu.:0.0000   1st Qu.:0.00   1st Qu.: 1.000   1st Qu.: 2.000  
##  Median :0.0000   Median :0.00   Median : 5.000   Median : 4.000  
##  Mean   :0.3713   Mean   :0.58   Mean   : 4.562   Mean   : 4.505  
##  3rd Qu.:1.0000   3rd Qu.:1.00   3rd Qu.: 8.000   3rd Qu.: 6.000  
##  Max.   :1.0000   Max.   :2.00   Max.   :10.000   Max.   :10.000  
##  NA's   :254      NA's   :264    NA's   :469      NA's   :468     
##     WORKPAY          WORKHOME         EXPECEDU        MATHPREF    
##  Min.   : 0.000   Min.   : 0.000   Min.   :2.000   Min.   :0.000  
##  1st Qu.: 0.000   1st Qu.: 1.000   1st Qu.:5.000   1st Qu.:0.000  
##  Median : 0.000   Median : 4.000   Median :7.000   Median :0.000  
##  Mean   : 1.381   Mean   : 4.337   Mean   :6.796   Mean   :0.162  
##  3rd Qu.: 2.000   3rd Qu.: 7.000   3rd Qu.:8.000   3rd Qu.:0.000  
##  Max.   :10.000   Max.   :10.000   Max.   :9.000   Max.   :1.000  
##  NA's   :476      NA's   :475      NA's   :660     NA's   :540    
##     MATHEASE         MATHMOT          DURECEC          SISCO       
##  Min.   :0.0000   Min.   :0.0000   Min.   :0.000   Min.   :0.0000  
##  1st Qu.:0.0000   1st Qu.:0.0000   1st Qu.:2.000   1st Qu.:1.0000  
##  Median :0.0000   Median :0.0000   Median :2.000   Median :1.0000  
##  Mean   :0.1253   Mean   :0.0312   Mean   :2.235   Mean   :0.8116  
##  3rd Qu.:0.0000   3rd Qu.:0.0000   3rd Qu.:3.000   3rd Qu.:1.0000  
##  Max.   :1.0000   Max.   :1.0000   Max.   :8.000   Max.   :1.0000  
##  NA's   :554      NA's   :542      NA's   :2149    NA's   :694     
##      MISCED           FISCED           HISCED          PAREDINT    
##  Min.   : 1.000   Min.   : 1.000   Min.   : 1.000   Min.   : 3.00  
##  1st Qu.: 5.000   1st Qu.: 5.000   1st Qu.: 5.000   1st Qu.:12.00  
##  Median : 7.000   Median : 6.000   Median : 8.000   Median :16.00  
##  Mean   : 6.732   Mean   : 6.294   Mean   : 7.168   Mean   :13.81  
##  3rd Qu.: 9.000   3rd Qu.: 8.000   3rd Qu.: 9.000   3rd Qu.:16.00  
##  Max.   :10.000   Max.   :10.000   Max.   :10.000   Max.   :16.00  
##  NA's   :243      NA's   :323      NA's   :223                     
##      BMMJ1           BFMJ2           HISEI           ICTRES       
##  Min.   :11.01   Min.   :11.01   Min.   :11.01   Min.   :-5.0283  
##  1st Qu.:25.06   1st Qu.:25.26   1st Qu.:31.08   1st Qu.:-0.3925  
##  Median :53.15   Median :38.69   Median :60.29   Median : 0.2014  
##  Mean   :49.22   Mean   :45.52   Mean   :54.80   Mean   : 0.2099  
##  3rd Qu.:68.70   3rd Qu.:66.42   3rd Qu.:73.91   3rd Qu.: 0.7885  
##  Max.   :88.70   Max.   :88.96   Max.   :88.96   Max.   : 5.1744  
##  NA's   :776     NA's   :1126    NA's   :500     NA's   :185      
##     HOMEPOS              ESCS             FCFMLRTY        ICTAVSCH    
##  Min.   :-6.56710   Min.   :-3.60190   Min.   : 0.00   Min.   :0.000  
##  1st Qu.:-0.48128   1st Qu.:-0.61438   1st Qu.: 3.00   1st Qu.:7.000  
##  Median : 0.07955   Median : 0.15250   Median : 7.00   Median :7.000  
##  Mean   : 0.11415   Mean   : 0.04072   Mean   : 6.65   Mean   :6.616  
##  3rd Qu.: 0.69922   3rd Qu.: 0.79292   3rd Qu.:10.00   3rd Qu.:7.000  
##  Max.   : 7.45710   Max.   : 3.52730   Max.   :16.00   Max.   :7.000  
##  NA's   :182        NA's   :210        NA's   :500     NA's   :543    
##     ICTHOME           ICTAVHOM    
##  Min.   :-6.3292   Min.   :0.000  
##  1st Qu.: 0.3346   1st Qu.:6.000  
##  Median : 0.3346   Median :6.000  
##  Mean   : 0.0262   Mean   :5.714  
##  3rd Qu.: 0.3346   3rd Qu.:6.000  
##  Max.   : 0.3456   Max.   :6.000  
##  NA's   :607       NA's   :591
  • dplyr paketindemutate fonksiyonu ile:
USA7 <- USA %>% 
  mutate(IMMIG = ifelse(is.na(IMMIG), mean(IMMIG, na.rm = T), IMMIG))
summary(USA7)
##      CNT               CNTSTUID             AGE            GRADE         
##  Length:4552        Min.   :84000002   Min.   :15.33   Min.   :-2.00000  
##  Class :character   1st Qu.:84002087   1st Qu.:15.58   1st Qu.: 0.00000  
##  Mode  :character   Median :84004102   Median :15.83   Median : 0.00000  
##                     Mean   :84004088   Mean   :15.83   Mean   : 0.09183  
##                     3rd Qu.:84006118   3rd Qu.:16.08   3rd Qu.: 0.00000  
##                     Max.   :84008157   Max.   :16.33   Max.   : 2.00000  
##                                                                          
##      IMMIG           LANGN           REPEAT            MISSSC      
##  Min.   :1.000   Min.   :156.0   Min.   :0.00000   Min.   :0.0000  
##  1st Qu.:1.000   1st Qu.:313.0   1st Qu.:0.00000   1st Qu.:0.0000  
##  Median :1.000   Median :313.0   Median :0.00000   Median :0.0000  
##  Mean   :1.284   Mean   :314.6   Mean   :0.08077   Mean   :0.0665  
##  3rd Qu.:1.284   3rd Qu.:313.0   3rd Qu.:0.00000   3rd Qu.:0.0000  
##  Max.   :3.000   Max.   :859.0   Max.   :1.00000   Max.   :1.0000  
##                  NA's   :208     NA's   :256       NA's   :448     
##     SKIPPING         TARDYSD        EXERPRAC         STUDYHMW     
##  Min.   :0.0000   Min.   :0.00   Min.   : 0.000   Min.   : 0.000  
##  1st Qu.:0.0000   1st Qu.:0.00   1st Qu.: 1.000   1st Qu.: 2.000  
##  Median :0.0000   Median :0.00   Median : 5.000   Median : 4.000  
##  Mean   :0.3713   Mean   :0.58   Mean   : 4.562   Mean   : 4.505  
##  3rd Qu.:1.0000   3rd Qu.:1.00   3rd Qu.: 8.000   3rd Qu.: 6.000  
##  Max.   :1.0000   Max.   :2.00   Max.   :10.000   Max.   :10.000  
##  NA's   :254      NA's   :264    NA's   :469      NA's   :468     
##     WORKPAY          WORKHOME         EXPECEDU        MATHPREF    
##  Min.   : 0.000   Min.   : 0.000   Min.   :2.000   Min.   :0.000  
##  1st Qu.: 0.000   1st Qu.: 1.000   1st Qu.:5.000   1st Qu.:0.000  
##  Median : 0.000   Median : 4.000   Median :7.000   Median :0.000  
##  Mean   : 1.381   Mean   : 4.337   Mean   :6.796   Mean   :0.162  
##  3rd Qu.: 2.000   3rd Qu.: 7.000   3rd Qu.:8.000   3rd Qu.:0.000  
##  Max.   :10.000   Max.   :10.000   Max.   :9.000   Max.   :1.000  
##  NA's   :476      NA's   :475      NA's   :660     NA's   :540    
##     MATHEASE         MATHMOT          DURECEC          SISCO       
##  Min.   :0.0000   Min.   :0.0000   Min.   :0.000   Min.   :0.0000  
##  1st Qu.:0.0000   1st Qu.:0.0000   1st Qu.:2.000   1st Qu.:1.0000  
##  Median :0.0000   Median :0.0000   Median :2.000   Median :1.0000  
##  Mean   :0.1253   Mean   :0.0312   Mean   :2.235   Mean   :0.8116  
##  3rd Qu.:0.0000   3rd Qu.:0.0000   3rd Qu.:3.000   3rd Qu.:1.0000  
##  Max.   :1.0000   Max.   :1.0000   Max.   :8.000   Max.   :1.0000  
##  NA's   :554      NA's   :542      NA's   :2149    NA's   :694     
##      MISCED           FISCED           HISCED          PAREDINT    
##  Min.   : 1.000   Min.   : 1.000   Min.   : 1.000   Min.   : 3.00  
##  1st Qu.: 5.000   1st Qu.: 5.000   1st Qu.: 5.000   1st Qu.:12.00  
##  Median : 7.000   Median : 6.000   Median : 8.000   Median :16.00  
##  Mean   : 6.732   Mean   : 6.294   Mean   : 7.168   Mean   :13.81  
##  3rd Qu.: 9.000   3rd Qu.: 8.000   3rd Qu.: 9.000   3rd Qu.:16.00  
##  Max.   :10.000   Max.   :10.000   Max.   :10.000   Max.   :16.00  
##  NA's   :243      NA's   :323      NA's   :223                     
##      BMMJ1           BFMJ2           HISEI           ICTRES       
##  Min.   :11.01   Min.   :11.01   Min.   :11.01   Min.   :-5.0283  
##  1st Qu.:25.06   1st Qu.:25.26   1st Qu.:31.08   1st Qu.:-0.3925  
##  Median :53.15   Median :38.69   Median :60.29   Median : 0.2014  
##  Mean   :49.22   Mean   :45.52   Mean   :54.80   Mean   : 0.2099  
##  3rd Qu.:68.70   3rd Qu.:66.42   3rd Qu.:73.91   3rd Qu.: 0.7885  
##  Max.   :88.70   Max.   :88.96   Max.   :88.96   Max.   : 5.1744  
##  NA's   :776     NA's   :1126    NA's   :500     NA's   :185      
##     HOMEPOS              ESCS             FCFMLRTY        ICTAVSCH    
##  Min.   :-6.56710   Min.   :-3.60190   Min.   : 0.00   Min.   :0.000  
##  1st Qu.:-0.48128   1st Qu.:-0.61438   1st Qu.: 3.00   1st Qu.:7.000  
##  Median : 0.07955   Median : 0.15250   Median : 7.00   Median :7.000  
##  Mean   : 0.11415   Mean   : 0.04072   Mean   : 6.65   Mean   :6.616  
##  3rd Qu.: 0.69922   3rd Qu.: 0.79292   3rd Qu.:10.00   3rd Qu.:7.000  
##  Max.   : 7.45710   Max.   : 3.52730   Max.   :16.00   Max.   :7.000  
##  NA's   :182        NA's   :210        NA's   :500     NA's   :543    
##     ICTHOME           ICTAVHOM    
##  Min.   :-6.3292   Min.   :0.000  
##  1st Qu.: 0.3346   1st Qu.:6.000  
##  Median : 0.3346   Median :6.000  
##  Mean   : 0.0262   Mean   :5.714  
##  3rd Qu.: 0.3346   3rd Qu.:6.000  
##  Max.   : 0.3456   Max.   :6.000  
##  NA's   :607       NA's   :591

Model Tabanli Yontemler

EM Algoritmasi:

  • USA verisinin icerisinden 3 degisken secerek USA_subset verisi olusturma:
USA_subset <- USA[, c("FISCED", "MISCED", "HISCED")]
head(USA_subset)
##   FISCED MISCED HISCED
## 1      9      7      9
## 2      6      6      6
## 3      9      9      9
## 4      3      5      5
## 5      5      5      5
## 6      3     10     10
library(mvdalab)
USA_subset_datasi <- introNAs(USA_subset, percent = 25)
USA_subset_datasi_EM <- imputeEM(USA_subset_datasi)
USA_subset_datasi_EM

##         FISCED     MISCED    HISCED
## 1     9.000000  7.0000000  8.406484
## 2     6.000000  5.1960066  6.000000
## 3     9.000000  9.0000000  9.000000
## 4     3.000000  5.0000000  5.000000
## 5     5.000000  6.9797825  6.845870
## 6     7.921844  9.9183019 10.000000
## 7    10.000000  8.7415158 10.000000
## 8     8.000000  9.0000000  9.000000
## 9    10.000000 10.0000000 10.856927
## 10    9.000000  8.0000000  9.000000
## 11    8.000000  6.9687612  8.000000
## 12    5.000000  5.0000000  5.000000
## 13    7.000000  6.0000000  6.944672
## 14   10.000000 10.0000000 10.000000
## 15    6.309214  6.7298280  7.179851
## 16    9.000000  9.0000000  9.000000
## 17    8.000000  6.9687612  8.000000
## 18    6.309214  6.7298280  7.179851
## 19    3.000000  7.0000000  7.000000
## 20    7.000000  7.5321504  8.000000
## 21    3.000000  3.0000000  3.333232
## 22    3.000000  6.8861740  6.000000
## 23    5.000000  8.0000000  7.546305
## 24    4.125704  5.0000000  5.000000
## 25    8.000000  5.0000000  8.000000
## 26    7.000000  5.0000000  7.000000
## 27    5.773646  9.0000000  8.533305
## 28    6.309214  6.7298280  7.179851
## 29    3.000000  7.3616226  6.335783
## 30    6.000000  8.0000000  8.000000
## 31    5.000000  8.0000000  8.000000
## 32    6.717690  5.0000000  6.148084
## 33    7.761655  7.0000000  8.000000
## 34    6.717690  5.0000000  6.148084
## 35    6.845330  9.0000000  9.000000
## 36    3.000000 11.2354734  9.000000
## 37    9.000000  2.0000000  9.000000
## 38    1.000000  2.0000000  2.000000
## 39    8.000000  8.0000000  8.000000
## 40    7.000000  8.0000000  8.000000
## 41    3.000000  7.3616226  6.335783
## 42    1.000000  0.7641200  1.000000
## 43    5.000000  6.0000000  6.000000
## 44    5.000000  8.6589286  8.000000
## 45    7.000000  8.0000000  8.000000
## 46    7.525237 10.0000000 10.000000
## 47    9.000000  9.0000000  9.000000
## 48    9.000000  9.3049050 10.000000
## 49    6.717690  5.0000000  6.148084
## 50    5.485517  7.0000000  7.000000
## 51    9.000000  6.2161021  7.866042
## 52    9.000000  8.0000000  9.000000
## 53    5.000000  5.0000000  5.000000
## 54    9.000000  7.8551385  9.000000
## 55    8.000000  8.0000000  8.707300
## 56    7.000000  6.0000000  6.944672
## 57    5.000000 11.5584616 10.000000
## 58    7.661735  1.0000000  3.762864
## 59    5.773646  9.0000000  8.533305
## 60    5.000000  5.0000000  5.000000
## 61    5.000000  5.0000000  5.482859
## 62    5.000000  7.0000000  7.000000
## 63    8.000000  8.0000000  8.000000
## 64    3.921246  2.0068011  3.000000
## 65    9.000000  9.0000000  9.000000
## 66    5.000000  2.0000000  5.000000
## 67    6.000000  7.0000000  7.000000
## 68    2.765891  3.0000000  3.000000
## 69    6.309214  6.7298280  7.179851
## 70    7.189713  3.0000000  4.955474
## 71    8.000000  6.4070222  7.610999
## 72    5.000000  9.0000000  9.000000
## 73    8.677979  5.0000000  7.000000
## 74    9.000000  8.0000000  9.000000
## 75    9.000000  8.0000000  9.000000
## 76    1.406079  1.0000000  1.000000
## 77    9.000000  8.0000000  9.000000
## 78    5.064274  4.2672299  5.000000
## 79    6.000000  5.1960066  6.000000
## 80    8.000000  7.0000000  8.019485
## 81    6.309214  6.7298280  7.179851
## 82    6.717690  5.0000000  6.148084
## 83    6.000000  6.0000000  6.000000
## 84   10.000000  7.0000000 10.000000
## 85    4.805611  6.0000000  6.000000
## 86    8.000000  8.0000000  8.707300
## 87    9.000000  9.0000000  9.000000
## 88    3.000000  3.0000000  3.000000
## 89    6.000000  6.0000000  6.000000
## 90    2.765891  3.0000000  3.000000
## 91    3.000000  3.0000000  3.000000
## 92    6.309214  6.7298280  7.179851
## 93    9.000000  3.0000000  5.655224
## 94    8.000000  6.9687612  8.000000
## 95    6.309214  6.7298280  7.179851
## 96    8.000000  6.9687612  8.000000
## 97    5.000000  5.0000000  5.000000
## 98    5.000000  5.0000000  5.000000
## 99    5.000000  3.0000000  4.107229
## 100   7.000000  9.0000000  9.000000
## 101   6.309214  6.7298280  7.179851
## 102   5.000000  5.0000000  5.000000
## 103   7.189713  3.0000000  4.955474
## 104   7.000000  6.0000000  7.000000
## 105   9.000000  9.0000000  9.000000
## 106   1.000000  1.0000000  1.000000
## 107   2.000000  5.0000000  5.000000
## 108   7.000000  9.0000000  9.000000
## 109   3.000000  6.8861740  6.000000
## 110   5.000000  7.2091622  7.000000
## 111   8.000000  5.0000000  8.000000
## 112   8.000000  3.0000000  8.000000
## 113   8.000000  6.4070222  7.610999
## 114   5.000000  5.0000000  5.482859
## 115   6.009657  8.0000000  7.937000
## 116   7.000000  6.0823839  7.000000
## 117   6.165424  8.0000000  8.000000
## 118   6.845330  9.0000000  9.000000
## 119   6.845330  9.0000000  9.000000
## 120   5.000000  4.3096293  5.000000
## 121   5.000000  5.0000000  5.000000
## 122   5.000000  4.3096293  5.000000
## 123   5.000000  6.9797825  6.845870
## 124   5.000000  5.0000000  5.000000
## 125   5.485517  7.0000000  7.000000
## 126   9.000000  9.0000000  9.000000
## 127   8.000000  8.0000000  8.000000
## 128   8.000000  6.9687612  8.000000
## 129   6.009657  8.0000000  7.937000
## 130   3.000000  5.0000000  5.000000
## 131   5.000000  9.0000000  8.234120
## 132  10.000000 10.0000000 10.856927
## 133   6.309214  6.7298280  7.179851
## 134   8.000000  6.4070222  7.610999
## 135   7.000000 10.0000000 10.000000
## 136   7.000000 10.0000000  9.695932
## 137   2.000000  5.9997967  5.000000
## 138   8.000000  5.0000000  8.000000
## 139   8.000000  9.0000000  9.395115
## 140   3.000000  3.0000000  3.000000
## 141   6.309214  6.7298280  7.179851
## 142   5.000000  5.0000000  5.482859
## 143   5.000000  6.9797825  6.845870
## 144   7.000000  5.0000000  7.000000
## 145   4.805611  6.0000000  6.000000
## 146   8.000000  9.0000000  9.000000
## 147   5.000000  6.0000000  6.000000
## 148   6.165424  8.0000000  8.000000
## 149   2.000000  5.0000000  4.321864
## 150   9.000000 10.0000000 10.000000
## 151   6.309214  6.7298280  7.179851
## 152   6.309214  6.7298280  7.179851
## 153   7.000000  6.0000000  7.000000
## 154   5.000000  4.3096293  5.000000
## 155   6.845330  9.0000000  9.000000
## 156   5.485517  7.0000000  7.000000
## 157   6.207302  6.5276587  7.000000
## 158   5.000000  5.0000000  5.000000
## 159   8.000000  5.0000000  8.000000
## 160   6.309214  6.7298280  7.179851
## 161   4.125704  5.0000000  5.000000
## 162   2.000000  7.5525427  6.080740
## 163   5.000000  8.0000000  8.000000
## 164   6.309214  6.7298280  7.179851
## 165   7.000000  3.0000000  4.881227
## 166   5.000000  5.0000000  5.000000
## 167   6.717690  5.0000000  6.148084
## 168   9.000000  8.0000000  9.000000
## 169   8.677979  5.0000000  7.000000
## 170   4.125704  5.0000000  5.000000
## 171   1.000000  7.7434628  5.825697
## 172   6.309214  6.7298280  7.179851
## 173   5.000000  4.3096293  5.000000
## 174   6.309214  6.7298280  7.179851
## 175   3.000000  3.0000000  3.333232
## 176   6.309214  6.7298280  7.179851
## 177   3.000000 10.0000000 10.000000
## 178   3.000000  5.0000000  5.000000
## 179   8.000000  8.0000000  8.000000
## 180   7.350330  8.7880875  9.000000
## 181   6.165424  8.0000000  8.000000
## 182   4.125704  5.0000000  5.000000
## 183   8.000000  6.4070222  7.610999
## 184   3.000000  6.0000000  6.000000
## 185   9.000000  8.0000000  9.000000
## 186   8.000000  8.0000000  8.000000
## 187   5.000000  5.0000000  5.000000
## 188   6.778816  7.6578731  8.000000
## 189   8.000000  5.0000000  8.000000
## 190   5.000000  5.0000000  5.000000
## 191   9.000000  9.0000000  9.782114
## 192   5.000000  7.0000000  7.000000
## 193   6.717690  5.0000000  6.148084
## 194  10.000000  5.0000000  7.417852
## 195   7.000000  8.0000000  8.000000
## 196   8.000000  6.4070222  7.610999
## 197   2.000000  2.0000000  2.000000
## 198  10.000000 10.0000000 10.000000
## 199   5.000000  3.0000000  5.000000
## 200   5.000000  6.9797825  6.845870
## 201   6.309214  6.7298280  7.179851
## 202   5.000000  9.0000000  9.000000
## 203   8.000000  9.0000000  9.395115
## 204   7.921844  9.9183019 10.000000
## 205  10.000000  8.7415158 10.000000
## 206   9.000000  9.0000000  9.782114
## 207   5.000000  5.0000000  5.000000
## 208   7.189713  3.0000000  4.955474
## 209   4.805611  6.0000000  6.000000
## 210   6.845330  9.0000000  9.000000
## 211   8.000000  8.0000000  8.000000
## 212   6.165424  8.0000000  8.000000
## 213   7.000000  6.5979423  7.355956
## 214   6.309214  6.7298280  7.179851
## 215   3.000000  5.0000000  5.000000
## 216   8.000000  8.0000000  8.707300
## 217   6.309214  6.7298280  7.179851
## 218   5.000000  7.0000000  7.000000
## 219   5.000000  5.0000000  5.482859
## 220   2.000000  3.0000000  3.000000
## 221   5.000000  5.0000000  5.482859
## 222   5.000000  8.0000000  7.546305
## 223   6.845330  9.0000000  9.000000
## 224  10.000000 10.0000000 10.000000
## 225   6.309214  6.7298280  7.179851
## 226  10.000000  7.0000000 10.000000
## 227   6.845330  9.0000000  9.000000
## 228   3.000000  3.0000000  3.333232
## 229   1.000000  2.0000000  1.871420
## 230   5.064274  4.2672299  5.000000
## 231   3.000000  3.0000000  3.333232
## 232   7.000000  3.0000000  7.000000
## 233   5.000000  5.0000000  5.000000
## 234   5.537634 10.0000000  9.129610
## 235   3.000000  3.0000000  3.333232
## 236   7.000000  7.0000000  7.000000
## 237   8.000000  9.0000000  9.000000
## 238   7.350330  8.7880875  9.000000
## 239   8.000000  8.0000000  8.000000
## 240   5.000000  5.0000000  5.482859
## 241   6.309214  6.7298280  7.179851
## 242   5.000000 10.1086951  9.000000
## 243   8.000000  8.0000000  8.000000
## 244   6.000000  6.0000000  6.000000
## 245   7.189713  3.0000000  4.955474
## 246   5.000000  5.0000000  5.000000
## 247   5.000000  6.9797825  6.845870
## 248   5.635788  5.3974443  6.000000
## 249   6.165424  8.0000000  8.000000
## 250   5.485517  7.0000000  7.000000
## 251   4.125704  5.0000000  5.000000
## 252   8.000000  8.0000000  8.707300
## 253   5.000000  9.0000000  8.234120
## 254   5.773646  9.0000000  8.533305
## 255   7.000000  8.0000000  8.000000
## 256   7.525237 10.0000000 10.000000
## 257   7.921844  9.9183019 10.000000
## 258   8.000000 10.0000000 10.082930
## 259   1.000000  2.0000000  1.871420
## 260   8.000000  9.0000000  9.000000
## 261   5.000000  5.0000000  5.482859
## 262   7.000000  6.0000000  7.000000
## 263   2.000000  3.1002638  3.000000
## 264   9.000000  8.0000000  9.000000
## 265   6.009657  8.0000000  7.937000
## 266   5.000000  5.0000000  5.482859
## 267   1.000000  8.0000000  8.000000
## 268   9.000000  9.0000000  9.000000
## 269   5.000000  6.0000000  6.000000
## 270   5.773646  9.0000000  8.533305
## 271   6.009657  8.0000000  7.937000
## 272   7.350330  8.7880875  9.000000
## 273   5.000000  5.0000000  5.482859
## 274  10.000000  8.0000000  9.481297
## 275   5.000000  5.0000000  5.000000
## 276   9.000000  9.0000000  9.000000
## 277   7.525237 10.0000000 10.000000
## 278   3.000000  5.0000000  4.708862
## 279   9.000000  9.0000000  9.000000
## 280   5.537634 10.0000000  9.129610
## 281   8.000000  8.0000000  8.000000
## 282   5.485517  7.0000000  7.000000
## 283   5.000000  4.3096293  5.000000
## 284   3.349732  0.8765867  2.000000
## 285   7.921844  9.9183019 10.000000
## 286   3.000000  3.0000000  3.000000
## 287   5.064274  4.2672299  5.000000
## 288   6.845330  9.0000000  9.000000
## 289  10.000000  5.0000000 10.000000
## 290   5.000000  9.0000000  8.234120
## 291   4.125704  5.0000000  5.000000
## 292   8.000000  8.0000000  8.707300
## 293   9.000000  5.0000000  9.000000
## 294   9.000000  9.0000000  9.782114
## 295   7.000000  5.0000000  6.256857
## 296   5.000000  6.9797825  6.845870
## 297   7.000000  5.0000000  7.000000
## 298   5.485517  7.0000000  7.000000
## 299  10.000000  9.0000000 10.169112
## 300   5.000000  6.0000000  6.000000
## 301   3.349732  0.8765867  2.000000
## 302   8.000000  6.0000000  8.000000
## 303   9.000000  8.0000000  9.000000
## 304   4.125704  5.0000000  5.000000
## 305   6.845330  9.0000000  9.000000
## 306   6.000000  6.0000000  6.557673
## 307   5.000000  8.6589286  8.000000
## 308   6.481679  6.0000000  6.744389
## 309   5.000000  8.0000000  7.546305
## 310   5.000000  5.0000000  5.482859
## 311   6.717690  5.0000000  6.148084
## 312   8.000000  8.4185277  9.000000
## 313   5.537634 10.0000000  9.129610
## 314   5.000000  5.0000000  5.000000
## 315   7.000000  6.0823839  7.000000
## 316   6.717690  5.0000000  6.148084
## 317   9.000000  5.0000000  7.030854
## 318   9.000000  5.0000000  9.000000
## 319   4.805611  6.0000000  6.000000
## 320   9.000000  8.0000000  9.000000
## 321   6.309214  6.7298280  7.179851
## 322   8.000000  6.0000000  7.331670
## 323   9.000000  9.0000000  9.000000
## 324   5.000000  5.0000000  5.000000
## 325   8.000000  8.0000000  8.000000
## 326   7.000000  8.0000000  8.000000
## 327   4.125704  5.0000000  5.000000
## 328   6.165424  8.0000000  8.000000
## 329   5.000000  8.0000000  8.000000
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## 1681  7.525237 10.0000000 10.000000
## 1682  5.000000  5.0000000  5.000000
## 1683  6.000000  6.7888624  7.100913
## 1684 10.000000  9.0000000 10.000000
## 1685  6.009657  8.0000000  7.937000
## 1686  4.805611  6.0000000  6.000000
## 1687  7.000000  7.0000000  7.000000
## 1688  9.000000  8.0000000  9.094299
## 1689  9.000000  8.0000000  9.000000
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## 1692  5.000000  5.0000000  5.482859
## 1693  7.350330  8.7880875  9.000000
## 1694  9.000000  8.0000000  9.000000
## 1695  8.000000  9.0000000  9.000000
## 1696  6.245668  7.0000000  7.340695
## 1697  2.000000  1.6504973  2.000000
## 1698 10.000000  8.0000000 10.000000
## 1699  7.000000  8.0000000  8.000000
## 1700  5.000000  4.3096293  5.000000
## 1701  5.000000  4.3096293  5.000000
## 1702  3.000000  5.0000000  5.000000
## 1703  5.000000  7.2091622  7.000000
## 1704  8.000000  6.0000000  7.331670
## 1705  6.309214  6.7298280  7.179851
## 1706  9.000000  9.0000000  9.000000
## 1707  7.525237 10.0000000 10.000000
## 1708  5.000000  4.3096293  5.000000
## 1709  7.000000 10.0000000 10.000000
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## 1712  3.000000  3.0000000  3.000000
## 1713  8.000000  6.4070222  7.610999
## 1714  8.000000  9.0000000  9.000000
## 1715  9.000000 10.0000000 10.000000
## 1716  5.000000  6.9797825  6.845870
## 1717  5.000000  5.0000000  5.482859
## 1718  8.441561  8.0000000  9.000000
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## 1720  8.000000  9.0000000  9.000000
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## 1724  3.000000  2.0000000  3.000000
## 1725  6.778816  7.6578731  8.000000
## 1726  6.309214  6.7298280  7.179851
## 1727  5.000000  6.9797825  6.845870
## 1728  3.000000  2.0000000  2.645417
## 1729  9.000000  9.0000000  9.000000
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## 1731  6.309214  6.7298280  7.179851
## 1732  9.000000  7.8551385  9.000000
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## 1737  5.000000  5.0000000  5.482859
## 1738  4.125704  5.0000000  5.000000
## 1739  5.000000  5.0000000  5.000000
## 1740  6.309214  6.7298280  7.179851
## 1741  6.000000  7.0000000  7.245488
## 1742  8.000000  6.4070222  7.610999
## 1743  1.000000  2.0000000  2.000000
## 1744 10.000000 10.0000000 10.000000
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## 1746  5.000000  5.0000000  5.482859
## 1747  9.000000  7.8551385  9.000000
## 1748  9.000000  9.0000000  9.000000
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## 1757  1.000000  2.0000000  2.000000
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## 1760  2.085985  2.0000000  2.000000
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## 1762  5.000000  6.9797825  6.845870
## 1763  6.000000  8.0000000  8.000000
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## 1765  6.000000  7.0000000  7.000000
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## 1768  4.125704  5.0000000  5.000000
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## 1770  5.000000  9.0000000  9.000000
## 1771  6.309214  6.7298280  7.179851
## 1772  9.000000  7.8551385  9.000000
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## 1774  9.000000  7.8551385  9.000000
## 1775  6.309214  6.7298280  7.179851
## 1776  5.000000  6.0000000  6.000000
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## 1782  5.000000  6.9797825  6.845870
## 1783  6.481679  6.0000000  6.744389
## 1784  6.309214  6.7298280  7.179851
## 1785  9.000000  9.0000000  9.782114
## 1786  6.845330  9.0000000  9.000000
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## 1788  7.000000  8.0000000  8.000000
## 1789  1.000000  1.0000000  1.000000
## 1790  6.845330  9.0000000  9.000000
## 1791  8.000000  6.4070222  7.610999
## 1792  9.000000  9.0000000  9.000000
## 1793  7.189713  3.0000000  4.955474
## 1794  9.000000  6.2161021  7.866042
## 1795  8.000000  6.9687612  8.000000
## 1796  6.845330  9.0000000  9.000000
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## 1801  9.000000  6.0000000  9.000000
## 1802  5.000000  8.0000000  8.000000
## 1803  4.125704  5.0000000  5.000000
## 1804  6.000000  8.0000000  8.000000
## 1805  6.481679  6.0000000  6.744389
## 1806  8.000000  6.4070222  7.610999
## 1807  8.000000  6.4070222  7.610999
## 1808  7.525237 10.0000000 10.000000
## 1809  5.485517  7.0000000  7.000000
## 1810  6.165424  8.0000000  8.000000
## 1811  5.000000  5.0000000  5.000000
## 1812  5.000000  5.0000000  5.000000
## 1813  5.000000  8.0000000  8.000000
## 1814  5.000000  4.3096293  5.000000
## 1815  3.000000  9.0000000  9.000000
## 1816  5.000000  6.0000000  6.000000
## 1817  6.845330  9.0000000  9.000000
## 1818 10.000000  8.7415158 10.000000
## 1819  2.765891  3.0000000  3.000000
## 1820  6.165424  8.0000000  8.000000
## 1821  8.000000  9.0000000  9.395115
## 1822  6.845330  9.0000000  9.000000
## 1823  7.000000  8.0000000  8.000000
## 1824  7.000000  7.0000000  7.000000
## 1825  8.000000  7.0000000  8.019485
## 1826  6.000000  5.0000000  5.869858
## 1827  3.000000 10.0000000 10.000000
## 1828  6.309214  6.7298280  7.179851
## 1829  8.000000  8.0000000  8.000000
## 1830  5.000000  5.0000000  5.482859
## 1831  6.481679  6.0000000  6.744389
## 1832  8.000000  6.4070222  7.610999
## 1833  5.000000  6.9797825  6.845870
## 1834  5.064274  4.2672299  5.000000
## 1835  7.000000  7.0000000  7.000000
## 1836  7.350330  8.7880875  9.000000
## 1837  8.000000  7.0000000  8.000000
## 1838  5.000000  5.0000000  5.482859
## 1839  1.000000  0.7641200  1.000000
## 1840  3.000000 10.0000000 10.000000
## 1841  5.485517  7.0000000  7.000000
## 1842  1.000000  7.7434628  5.825697
## 1843  2.000000  3.1002638  3.000000
## 1844 10.000000  7.0000000  8.793482
## 1845 10.000000 10.0000000 10.000000
## 1846  4.125704  5.0000000  5.000000
## 1847  5.000000  5.0000000  5.000000
## 1848  9.000000  8.0000000  9.000000
## 1849  3.000000  7.0000000  6.084492
## 1850  5.000000  8.0000000  7.546305
## 1851  9.000000 10.0000000 10.469929
## 1852  6.309214  6.7298280  7.179851
## 1853  9.000000  7.8551385  9.000000
## 1854  6.309214  6.7298280  7.179851
## 1855  6.717690  5.0000000  6.148084
## 1856  6.309214  6.7298280  7.179851
## 1857  5.000000  6.0000000  6.000000
## 1858  7.525237 10.0000000 10.000000
## 1859  6.845330  9.0000000  9.000000
## 1860  7.000000 10.0000000 10.000000
## 1861  5.000000  5.0000000  5.482859
## 1862  5.000000  5.0000000  5.000000
## 1863  5.000000  9.0000000  9.000000
## 1864  6.309214  6.7298280  7.179851
## 1865  7.350330  8.7880875  9.000000
## 1866  5.000000  6.9797825  6.845870
## 1867  5.000000  5.0000000  5.000000
## 1868  5.000000  5.0000000  5.482859
## 1869  2.000000  3.1002638  3.000000
## 1870  6.000000 10.0000000  9.308933
## 1871  6.309214  6.7298280  7.179851
## 1872  7.000000  5.0000000  7.000000
## 1873  5.000000  5.0000000  5.000000
## 1874  8.000000  6.9687612  8.000000
## 1875  7.350330  8.7880875  9.000000
## 1876  9.000000  7.8551385  9.000000
## 1877  5.000000  5.0000000  5.000000
## 1878  5.000000  4.3096293  5.000000
## 1879  8.000000  9.0000000  9.395115
## 1880  5.000000  8.0000000  7.546305
## 1881  6.309214  6.7298280  7.179851
## 1882  6.309214  6.7298280  7.179851
## 1883  9.000000  6.0000000  9.000000
## 1884  5.000000  5.0000000  5.000000
## 1885  4.125704  5.0000000  5.000000
## 1886  9.000000  8.0000000  9.094299
## 1887  4.805611  6.0000000  6.000000
## 1888  5.064274  4.2672299  5.000000
## 1889  7.350330  8.7880875  9.000000
## 1890  6.000000  6.0000000  6.000000
## 1891  6.309214  6.7298280  7.179851
## 1892  9.000000  9.0000000  9.782114
## 1893  6.009657  8.0000000  7.937000
## 1894  6.717690  5.0000000  6.148084
## 1895  8.000000  6.9687612  8.000000
## 1896  6.309214  6.7298280  7.179851
## 1897 10.000000  9.0000000 10.000000
## 1898  7.000000  7.0000000  7.000000
## 1899  8.000000  9.0000000  9.000000
## 1900  2.000000  2.0000000  2.258419
## 1901  5.000000  8.0000000  8.000000
## 1902  4.125704  5.0000000  5.000000
## 1903  8.000000  8.4185277  9.000000
## 1904  5.000000  9.0000000  9.000000
## 1905  5.000000  6.0000000  6.000000
## 1906  5.000000 10.1086951  9.000000
## 1907  5.000000  6.9797825  6.845870
## 1908  5.000000  9.0000000  8.234120
## 1909  9.000000  9.0000000  9.782114
## 1910  9.000000  7.8551385  9.000000
## 1911  5.000000  8.6589286  8.000000
## 1912 10.000000  8.7415158 10.000000
## 1913  6.000000  5.0000000  6.000000
## 1914  1.000000  1.0000000  1.183605
## 1915  9.000000  8.0000000  9.000000
## 1916  3.000000  5.0000000  5.000000
## 1917  5.000000 10.0000000 10.000000
## 1918  5.000000  5.0000000  5.000000
## 1919  6.309214  6.7298280  7.179851
## 1920  5.064274  4.2672299  5.000000
## 1921  7.000000  8.0000000  8.000000
## 1922  6.009657  8.0000000  7.937000
## 1923  6.000000  9.0000000  9.000000
## 1924  3.000000  5.4364076  5.000000
## 1925  1.000000  1.0000000  1.183605
## 1926  5.000000  6.9797825  6.845870
## 1927  9.000000  8.0000000  9.000000
## 1928  6.000000  6.7888624  7.100913
## 1929  8.000000  6.9687612  8.000000
## 1930  6.000000  5.1960066  6.000000
## 1931  9.000000  8.0000000  9.000000
## 1932  5.000000  7.2091622  7.000000
## 1933  6.165424  8.0000000  8.000000
## 1934  6.207302  6.5276587  7.000000
## 1935  9.000000  9.0000000  9.000000
## 1936  5.000000  5.0000000  5.482859
## 1937  5.000000  9.0000000  8.234120
## 1938  8.000000  6.9687612  8.000000
## 1939  8.000000  6.4070222  7.610999
## 1940  5.000000  5.0000000  5.000000
## 1941  8.000000  8.0000000  8.707300
## 1942 10.954117  5.0000000  8.000000
## 1943  5.000000  4.3096293  5.000000
## 1944  1.000000  5.0000000  5.000000
## 1945  8.000000  3.0000000  5.268225
## 1946  5.000000  5.0000000  5.000000
## 1947  2.765891  3.0000000  3.000000
## 1948  6.309214  6.7298280  7.179851
## 1949  3.000000  6.0000000  6.000000
## 1950  5.000000  8.0000000  8.000000
## 1951  9.000000 10.0000000 10.000000
## 1952  5.000000  5.7593957  6.000000
## 1953  9.000000  9.0000000  9.000000
## 1954  5.000000  5.0000000  5.000000
## 1955  5.000000  5.0000000  5.000000
## 1956  3.000000  3.0000000  3.000000
## 1957  5.000000  6.0000000  6.000000
## 1958  6.165424  8.0000000  8.000000
## 1959  5.000000  9.0000000  9.000000
## 1960  8.000000  8.0000000  8.000000
## 1961  7.761655  7.0000000  8.000000
## 1962  5.000000  4.3096293  5.000000
## 1963  7.000000  8.0000000  8.000000
## 1964  2.000000  2.0000000  2.000000
## 1965  8.000000  6.4070222  7.610999
## 1966 10.000000  9.0000000 10.000000
## 1967  5.000000  5.0000000  5.482859
## 1968  7.000000  7.5321504  8.000000
## 1969  9.000000  6.2161021  7.866042
## 1970  7.000000  3.0000000  7.000000
## 1971  6.000000  9.5453060  9.000000
## 1972 10.000000 10.0000000 10.000000
## 1973  9.000000  5.0000000  9.000000
## 1974  7.921844  9.9183019 10.000000
## 1975  8.000000  9.0000000  9.000000
## 1976  1.000000  1.0000000  1.183605
## 1977  7.525237 10.0000000 10.000000
## 1978  8.677979  5.0000000  7.000000
## 1979  9.000000  9.0000000  9.000000
## 1980  6.717690  5.0000000  6.148084
## 1981  8.000000 10.0000000 10.000000
## 1982  8.000000  8.0000000  8.000000
## 1983  8.000000  8.0000000  8.000000
## 1984  3.000000  8.0000000  8.000000
## 1985  5.000000  5.0000000  5.000000
## 1986  8.000000 10.0000000 10.000000
## 1987  9.000000  9.0000000  9.000000
## 1988  6.000000  9.0000000  9.000000
## 1989  5.958354  1.0000000  3.000000
## 1990  5.000000 10.0000000 10.000000
## 1991  5.000000  9.0000000  9.000000
## 1992  8.000000  8.0000000  8.000000
## 1993  8.000000  8.0000000  8.000000
## 1994  9.000000  9.0000000  9.782114
## 1995  6.309214  6.7298280  7.179851
## 1996  7.350330  8.7880875  9.000000
## 1997  5.537634 10.0000000  9.129610
## 1998  3.000000  2.5368747  3.000000
## 1999  5.000000  7.0000000  7.000000
## 2000  3.000000  8.0000000  6.772307
## 2001  6.309214  6.7298280  7.179851
## 2002 10.000000  8.7415158 10.000000
## 2003  5.000000  5.0000000  5.000000
## 2004  8.000000 10.0000000 10.000000
## 2005 10.000000  8.7415158 10.000000
## 2006  8.000000  9.0000000  9.000000
## 2007  4.125704  5.0000000  5.000000
## 2008  6.309214  6.7298280  7.179851
## 2009  8.000000 10.0000000 10.082930
## 2010  5.000000  9.0000000  9.000000
## 2011  5.000000  9.0000000  9.000000
## 2012  5.000000  4.3096293  5.000000
## 2013  7.000000  6.0823839  7.000000
## 2014  9.000000  9.0000000  9.000000
## 2015  5.000000  5.0000000  5.000000
## 2016  5.000000  5.0000000  5.000000
## 2017  5.000000 10.0000000 10.000000
## 2018  9.000000  6.2161021  7.866042
## 2019  4.125704  5.0000000  5.000000
## 2020  6.309214  6.7298280  7.179851
## 2021 10.000000  8.7415158 10.000000
## 2022  5.000000  8.0000000  8.000000
## 2023  9.000000  9.0000000  9.000000
## 2024  5.000000 10.0000000 10.000000
## 2025  9.000000  8.0000000  9.000000
## 2026  4.125704  5.0000000  5.000000
## 2027  7.000000  5.0000000  6.256857
## 2028  3.000000  8.0000000  6.772307
## 2029  5.000000  6.9797825  6.845870
## 2030  8.000000  6.0000000  8.000000
## 2031  9.000000 10.0000000 10.000000
## 2032  5.000000  3.0000000  5.000000
## 2033  8.000000  5.0000000  6.643855
## 2034  5.635788  5.3974443  6.000000
## 2035  5.000000  5.0000000  5.482859
## 2036  4.805611  6.0000000  6.000000
## 2037 10.037792  7.0000000  9.000000
## 2038  6.000000  8.0000000  8.000000
## 2039  6.778816  7.6578731  8.000000
## 2040  6.845330  9.0000000  9.000000
## 2041  6.717690  5.0000000  6.148084
## 2042  6.000000  5.1960066  6.000000
## 2043  8.000000  9.0000000  9.000000
## 2044  6.309214  6.7298280  7.179851
## 2045  6.309214  6.7298280  7.179851
## 2046 10.954117  5.0000000  8.000000
## 2047  1.000000  7.7434628  5.825697
## 2048  6.845330  9.0000000  9.000000
## 2049  1.000000  2.0000000  1.871420
## 2050  8.000000  9.0000000  9.395115
## 2051  6.309214  6.7298280  7.179851
## 2052  8.000000  7.0000000  8.000000
## 2053  6.309214  6.7298280  7.179851
## 2054  5.537634 10.0000000  9.129610
## 2055  6.309214  6.7298280  7.179851
## 2056  3.000000  5.4364076  5.000000
## 2057  5.000000  4.3096293  5.000000
## 2058  9.000000 10.0000000 10.000000
## 2059  7.921844  9.9183019 10.000000
## 2060 10.000000 10.0000000 10.856927
## 2061  9.000000  8.0000000  9.000000
## 2062  6.000000  5.1960066  6.000000
## 2063  5.064274  4.2672299  5.000000
## 2064  8.000000  6.0000000  7.331670
## 2065  3.000000  3.0000000  3.000000
## 2066  5.000000  4.3096293  5.000000
## 2067  5.773646  9.0000000  8.533305
## 2068  5.000000  5.0000000  5.000000
## 2069  5.537634 10.0000000  9.129610
## 2070  6.778816  7.6578731  8.000000
## 2071  8.000000  8.4185277  9.000000
## 2072  6.309214  6.7298280  7.179851
## 2073  3.000000  5.0000000  5.000000
## 2074  6.309214  6.7298280  7.179851
## 2075  8.000000  6.4070222  7.610999
## 2076  1.406079  1.0000000  1.000000
## 2077  6.000000  8.0955395  8.000000
## 2078  5.000000  9.0000000  9.000000
## 2079  9.000000  9.0000000  9.000000
## 2080  6.165424  8.0000000  8.000000
## 2081  7.000000  2.0000000  7.000000
## 2082  7.000000  3.0000000  7.000000
## 2083  4.125704  5.0000000  5.000000
## 2084  6.309214  6.7298280  7.179851
## 2085  7.921844  9.9183019 10.000000
## 2086  5.000000 10.0000000 10.000000
## 2087  2.000000  2.0000000  2.000000
## 2088  8.000000  8.0000000  8.707300
## 2089  6.000000  6.0000000  6.000000
## 2090  8.000000  9.0000000  9.395115
## 2091  4.125704  5.0000000  5.000000
## 2092  7.525237 10.0000000 10.000000
## 2093  9.000000  9.0000000  9.000000
## 2094  6.000000  5.1960066  6.000000
## 2095  5.000000  4.3096293  5.000000
## 2096  4.125704  5.0000000  5.000000
## 2097  7.525237 10.0000000 10.000000
## 2098  9.000000 10.0000000 10.000000
## 2099  9.000000 10.0000000 10.000000
## 2100  5.000000  6.0000000  6.000000
## 2101  5.000000  5.0000000  5.000000
## 2102  8.000000  5.0000000  8.000000
## 2103  6.309214  6.7298280  7.179851
## 2104 10.000000 10.0000000 10.000000
## 2105  5.000000 10.0000000 10.000000
## 2106  5.000000  5.0000000  5.000000
## 2107  6.309214  6.7298280  7.179851
## 2108  4.362122  2.0000000  3.000000
## 2109  5.635788  5.3974443  6.000000
## 2110  6.000000  6.7888624  7.100913
## 2111  9.000000  7.8551385  9.000000
## 2112  6.309214  6.7298280  7.179851
## 2113  8.000000  6.9687612  8.000000
## 2114  6.309214  6.7298280  7.179851
## 2115  5.000000  4.3096293  5.000000
## 2116 10.000000  5.0000000 10.000000
## 2117  6.000000  5.0000000  6.000000
## 2118  7.000000  9.0000000  9.000000
## 2119  9.000000  9.0000000  9.782114
## 2120  3.921246  2.0068011  3.000000
## 2121  6.000000  9.0000000  9.000000
## 2122  3.000000  3.0000000  3.333232
## 2123  6.309214  6.7298280  7.179851
## 2124  7.318166  3.0000000  5.000000
## 2125  7.000000  8.0000000  8.000000
## 2126  6.309214  6.7298280  7.179851
## 2127  5.000000  5.0000000  5.482859
## 2128  4.805611  6.0000000  6.000000
## 2129  9.000000 10.0000000 10.000000
## 2130  2.000000  6.0000000  6.000000
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## 4345  5.773646  9.0000000  8.533305
## 4346  4.805611  6.0000000  6.000000
## 4347  4.805611  6.0000000  6.000000
## 4348  5.000000  5.0000000  5.482859
## 4349  9.000000  7.8551385  9.000000
## 4350  9.000000  7.8551385  9.000000
## 4351  4.125704  5.0000000  5.000000
## 4352  7.525237 10.0000000 10.000000
## 4353  8.441561  8.0000000  9.000000
## 4354  5.064274  4.2672299  5.000000
## 4355  5.064274  4.2672299  5.000000
## 4356  6.309214  6.7298280  7.179851
## 4357 14.146579  3.0000000  8.000000
## 4358  5.064274  4.2672299  5.000000
## 4359  5.000000  5.0000000  5.000000
## 4360  4.125704  5.0000000  5.000000
## 4361  5.000000  5.0000000  5.000000
## 4362  6.207302  6.5276587  7.000000
## 4363  7.921844  9.9183019 10.000000
## 4364  8.000000  8.0000000  8.000000
## 4365  9.000000  6.0000000  7.718669
## 4366  6.207302  6.5276587  7.000000
## 4367  4.805611  6.0000000  6.000000
## 4368  4.125704  5.0000000  5.000000
## 4369  7.000000  6.5979423  7.355956
## 4370  9.000000  5.0000000  9.000000
## 4371  6.309214  6.7298280  7.179851
## 4372  7.000000  9.0000000  9.000000
## 4373  5.000000  5.0000000  5.482859
## 4374  7.000000  9.0000000  9.000000
## 4375  5.000000  8.0000000  8.000000
## 4376  5.000000  9.0000000  9.000000
## 4377  7.189713  3.0000000  4.955474
## 4378 10.000000  8.7415158 10.000000
## 4379  6.717690  5.0000000  6.148084
## 4380  9.000000  8.0000000  9.000000
## 4381  3.000000 11.2354734  9.000000
## 4382 10.000000  6.0251820  8.121085
## 4383  9.000000  7.8551385  9.000000
## 4384  6.000000 10.0000000 10.000000
## 4385  6.165424  8.0000000  8.000000
## 4386  6.845330  9.0000000  9.000000
## 4387  8.000000  7.0000000  8.000000
## 4388  3.000000  5.0000000  4.708862
## 4389  3.000000  5.0000000  5.000000
## 4390  8.000000  8.0000000  8.000000
## 4391  6.165424  8.0000000  8.000000
## 4392  4.125704  5.0000000  5.000000
## 4393  9.000000  9.0000000  9.000000
## 4394 15.506392  5.0000000 10.000000
## 4395  8.000000  8.0000000  8.000000
## 4396 10.000000 10.0000000 10.856927
## 4397  5.000000  6.9797825  6.845870
## 4398  7.921844  9.9183019 10.000000
## 4399  9.000000  8.0000000  9.000000
## 4400  6.309214  6.7298280  7.179851
## 4401  6.309214  6.7298280  7.179851
## 4402  5.000000  5.0000000  5.000000
## 4403  6.309214  6.7298280  7.179851
## 4404  5.000000  3.0000000  5.000000
## 4405  3.921246  2.0068011  3.000000
## 4406  5.000000  8.0000000  7.546305
## 4407  6.845330  9.0000000  9.000000
## 4408  6.717690  5.0000000  6.148084
## 4409  3.000000  7.0000000  7.000000
## 4410  6.845330  9.0000000  9.000000
## 4411  7.000000  6.0000000  7.000000
## 4412  9.000000  9.0000000  9.000000
## 4413  5.000000  8.0000000  8.000000
## 4414  8.000000  7.0000000  8.000000
## 4415  5.000000  5.0000000  5.000000
## 4416  7.000000  8.0000000  8.000000
## 4417  7.318166  3.0000000  5.000000
## 4418  9.000000  6.0000000  7.718669
## 4419  1.000000  5.0000000  5.000000
## 4420  7.000000  8.0000000  8.000000
## 4421  3.000000  5.0000000  4.708862
## 4422  8.000000  8.0000000  8.000000
## 4423  5.000000  5.0000000  5.000000
## 4424 10.000000 10.0000000 10.000000
## 4425  5.000000  7.0000000  7.000000
## 4426 10.037792  7.0000000  9.000000
## 4427  7.525237 10.0000000 10.000000
## 4428  6.717690  5.0000000  6.148084
## 4429  8.000000  8.0000000  8.000000
## 4430  8.000000  7.0000000  8.019485
## 4431  5.000000  6.9797825  6.845870
## 4432  5.773646  9.0000000  8.533305
## 4433  6.000000  6.0000000  6.557673
## 4434  9.000000  7.0000000  9.000000
## 4435  5.000000  5.0000000  5.000000
## 4436  8.000000  5.0000000  8.000000
## 4437  8.000000  8.0000000  8.000000
## 4438  2.000000  2.0000000  2.000000
## 4439  8.000000  8.4185277  9.000000
## 4440  7.000000  3.0000000  4.881227
## 4441  3.000000  2.5368747  3.000000
## 4442  8.000000  6.0000000  7.331670
## 4443  8.000000  8.0000000  8.707300
## 4444  7.000000  6.0000000  7.000000
## 4445  3.000000  9.0000000  9.000000
## 4446  9.000000  5.0000000  9.000000
## 4447  8.000000  8.0000000  8.000000
## 4448  8.000000  6.9687612  8.000000
## 4449 10.954117  5.0000000  8.000000
## 4450  6.309214  6.7298280  7.179851
## 4451  8.000000  5.0000000  8.000000
## 4452  5.000000  6.9797825  6.845870
## 4453  4.125704  5.0000000  5.000000
## 4454  5.000000  6.0000000  6.000000
## 4455  7.000000  7.0000000  7.632487
## 4456  4.125704  5.0000000  5.000000
## 4457  4.805611  6.0000000  6.000000
## 4458  5.000000  5.0000000  5.000000
## 4459  2.000000  3.1002638  3.000000
## 4460  6.778816  7.6578731  8.000000
## 4461  5.000000  6.9797825  6.845870
## 4462  6.845330  9.0000000  9.000000
## 4463  6.717690  5.0000000  6.148084
## 4464  6.845330  9.0000000  9.000000
## 4465  6.309214  6.7298280  7.179851
## 4466  6.778816  7.6578731  8.000000
## 4467  5.000000  5.0000000  5.000000
## 4468  9.000000  9.0000000  9.782114
## 4469  7.189713  3.0000000  4.955474
## 4470  6.309214  6.7298280  7.179851
## 4471  1.000000  3.0000000  3.000000
## 4472  8.000000  6.4070222  7.610999
## 4473  6.245668  7.0000000  7.340695
## 4474  6.165424  8.0000000  8.000000
## 4475  7.525237 10.0000000 10.000000
## 4476  1.000000  2.2138865  2.000000
## 4477  9.000000  7.8551385  9.000000
## 4478  6.717690  5.0000000  6.148084
## 4479  6.717690  5.0000000  6.148084
## 4480  8.000000  9.0000000  9.000000
## 4481  5.000000  6.9797825  6.845870
## 4482  5.485517  7.0000000  7.000000
## 4483  8.000000  9.8682941 10.000000
## 4484  5.000000  9.0000000  8.234120
## 4485  9.000000  6.2161021  7.866042
## 4486  5.000000  8.6589286  8.000000
## 4487  9.000000  6.0000000  9.000000
## 4488  7.000000  6.0000000  6.944672
## 4489  3.000000  2.0000000  3.000000
## 4490 10.000000  5.0000000 10.000000
## 4491  8.000000  3.0000000  5.268225
## 4492  8.000000  8.0000000  8.000000
## 4493 10.000000  9.0000000 10.000000
## 4494  6.845330  9.0000000  9.000000
## 4495  6.309214  6.7298280  7.179851
## 4496  5.000000 10.1086951  9.000000
## 4497  8.000000  8.0000000  8.000000
## 4498  2.765891  3.0000000  3.000000
## 4499  7.000000  8.0000000  8.320302
## 4500 10.000000  8.7415158 10.000000
## 4501  5.000000  9.0000000  8.234120
## 4502  8.000000  6.9687612  8.000000
## 4503  9.000000  8.0000000  9.000000
## 4504 10.000000  9.0000000 10.000000
## 4505  9.000000  7.8551385  9.000000
## 4506  6.000000  8.0955395  8.000000
## 4507  5.000000  5.0000000  5.482859
## 4508  5.000000  9.0000000  9.000000
## 4509  7.000000 10.4316833 10.000000
## 4510  6.000000  6.0000000  6.000000
## 4511  7.000000  7.0000000  7.632487
## 4512  6.309214  6.7298280  7.179851
## 4513  5.485517  7.0000000  7.000000
## 4514  5.000000  5.0000000  5.000000
## 4515  5.000000  5.0000000  5.000000
## 4516  6.000000  9.0000000  9.000000
## 4517  9.000000  3.0000000  5.655224
## 4518  4.125704  5.0000000  5.000000
## 4519  3.000000  9.7857069  8.000000
## 4520  5.485517  7.0000000  7.000000
## 4521  9.000000  9.0000000  9.000000
## 4522 10.000000 10.0000000 10.000000
## 4523  6.309214  6.7298280  7.179851
## 4524  5.000000  9.0000000  9.000000
## 4525  5.000000  1.0000000  5.000000
## 4526  7.189713  3.0000000  4.955474
## 4527  8.000000  6.9687612  8.000000
## 4528  3.000000  3.0000000  3.000000
## 4529 10.000000  8.7415158 10.000000
## 4530  9.000000  9.0000000  9.000000
## 4531  6.845330  9.0000000  9.000000
## 4532  6.000000  7.0000000  7.245488
## 4533  5.000000  4.3096293  5.000000
## 4534  4.125704  5.0000000  5.000000
## 4535  9.000000  8.0000000  9.000000
## 4536  6.309214  6.7298280  7.179851
## 4537  5.000000  8.0000000  8.000000
## 4538  9.000000  9.0000000  9.000000
## 4539  9.000000  7.8551385  9.000000
## 4540  8.000000  5.0000000  8.000000
## 4541  5.000000 11.5584616 10.000000
## 4542  6.309214  6.7298280  7.179851
## 4543  7.525237 10.0000000 10.000000
## 4544  7.525237 10.0000000 10.000000
## 4545  6.309214  6.7298280  7.179851
## 4546  5.000000  5.0000000  5.000000
## 4547 10.000000  7.0000000  8.793482
## 4548  5.000000  4.3096293  5.000000
## 4549  6.165424  8.0000000  8.000000
## 4550  5.000000  9.0000000  9.000000
## 4551  6.000000  9.0000000  8.621118
## 4552  8.000000  8.0000000  8.707300
  • Bu grafik → Expectation-Maximization (EM) yontemi ile yapilan eksik veri atamasinin (imputation) Ana Bilesenler Analizi (PCA) uzerindeki etkisini degerlendirir.
    • x-ekseniPCA on Imputed Dataframe with this No. of PCs → PCA icin kullanilan bilesen sayisi (PCs) gosterilerek 1 ve 2 bilesenli PCA modelleri karsilasitirilir.
    • y-ekseniPRESS - Predicted Residual Error Sum of Squares → PCA modelinin HATA ORANLARINI gostererek → Daha DUSUK PRESS degeri = Daha IYI model uyumu anlamina gelir.

missMethods Paketi ile EM Algoritmasi

library(missMethods)
library(mvtnorm)
ds_orig <- mvtnorm::rmvnorm(100, rep(0, 5))  # 5 degiskenli normal dagilim
ds_mis <- delete_MCAR(ds_orig, p = 0.3)      # %30 eksik veri (MCAR)
# EM ile eksik verileri doldurma (stokastik olmadan):
ds_imp <- impute_EM(ds_mis, stochastic = F)
# EM ile eksik verileri doldurma (stokastik olarak):
ds_imp_stochastic <- impute_EM(ds_mis, stochastic = T)

Multiple Imputation (COKLU ATAMA)

  • Kayip degerleri rastgele tahminlerle doldurmak yerine → BIRDEN FAZLA olasi deger uretir → bu degerler uzerinden analizler yapar.
  • Daha sonra bu analiz sonuclari birlestirilerek → TEK BIR SONUC elde edilir.
  • Gercekci Tahminler: Kayip verinin belirsizligini dikkate alır.
  • Istatistiksel Guvenirlik: Tek bir tahmin yerine → birden fazla TAHMIN üzerinden analiz yapidildigi icin → DAHA GUVENILIR sonuclar verir.
  • Esneklik: Farkli veri turleri ve modellerle uyumludur.

Multiple Imputation Adimlari

  • Atama (Imputation): Kayip degerler → istatistiksel modeller kullanilarak BIRDEN FAZLA KEZ DOLDURULUR
    • Genellikle 5-10 arasinda tamamlanmis veri seti olusturulur
  • Analiz: Her tamamlanmis veri seti uzerinde AYRI AYRI analizler yapilir.
  • Birlestirme (Pooling): Analiz sonuclari → belirli kurallar cercevesinde birlestirilir + nihai sonuclar elde edilir.

mice (Multivariate Imputation by Chained Equations) paketi → Multiple Imputation yontemini uygulamak icin yaygin olarak kullanilir. - Kayip veriyi GORSELLESTIRME icin mice paketininmd.pattern() fonksiyonu:

library(mice)
md.pattern(USA_subset)

##      HISCED MISCED FISCED    
## 4209      1      1      1   0
## 100       1      1      0   1
## 20        1      0      1   1
## 223       0      0      0   3
##         223    243    323 789
  • Hangi degiskenlerde ne kadar kayip veri oldugu:
imputed_data <- mice(USA_subset, m = 5, maxit = 50, method = 'pmm', seed = 500)
## 
##  iter imp variable
##   1   1  FISCED  MISCED  HISCED
##   1   2  FISCED  MISCED  HISCED
##   1   3  FISCED  MISCED  HISCED
##   1   4  FISCED  MISCED  HISCED
##   1   5  FISCED  MISCED  HISCED
##   2   1  FISCED  MISCED  HISCED
##   2   2  FISCED  MISCED  HISCED
##   2   3  FISCED  MISCED  HISCED
##   2   4  FISCED  MISCED  HISCED
##   2   5  FISCED  MISCED  HISCED
##   3   1  FISCED  MISCED  HISCED
##   3   2  FISCED  MISCED  HISCED
##   3   3  FISCED  MISCED  HISCED
##   3   4  FISCED  MISCED  HISCED
##   3   5  FISCED  MISCED  HISCED
##   4   1  FISCED  MISCED  HISCED
##   4   2  FISCED  MISCED  HISCED
##   4   3  FISCED  MISCED  HISCED
##   4   4  FISCED  MISCED  HISCED
##   4   5  FISCED  MISCED  HISCED
##   5   1  FISCED  MISCED  HISCED
##   5   2  FISCED  MISCED  HISCED
##   5   3  FISCED  MISCED  HISCED
##   5   4  FISCED  MISCED  HISCED
##   5   5  FISCED  MISCED  HISCED
##   6   1  FISCED  MISCED  HISCED
##   6   2  FISCED  MISCED  HISCED
##   6   3  FISCED  MISCED  HISCED
##   6   4  FISCED  MISCED  HISCED
##   6   5  FISCED  MISCED  HISCED
##   7   1  FISCED  MISCED  HISCED
##   7   2  FISCED  MISCED  HISCED
##   7   3  FISCED  MISCED  HISCED
##   7   4  FISCED  MISCED  HISCED
##   7   5  FISCED  MISCED  HISCED
##   8   1  FISCED  MISCED  HISCED
##   8   2  FISCED  MISCED  HISCED
##   8   3  FISCED  MISCED  HISCED
##   8   4  FISCED  MISCED  HISCED
##   8   5  FISCED  MISCED  HISCED
##   9   1  FISCED  MISCED  HISCED
##   9   2  FISCED  MISCED  HISCED
##   9   3  FISCED  MISCED  HISCED
##   9   4  FISCED  MISCED  HISCED
##   9   5  FISCED  MISCED  HISCED
##   10   1  FISCED  MISCED  HISCED
##   10   2  FISCED  MISCED  HISCED
##   10   3  FISCED  MISCED  HISCED
##   10   4  FISCED  MISCED  HISCED
##   10   5  FISCED  MISCED  HISCED
##   11   1  FISCED  MISCED  HISCED
##   11   2  FISCED  MISCED  HISCED
##   11   3  FISCED  MISCED  HISCED
##   11   4  FISCED  MISCED  HISCED
##   11   5  FISCED  MISCED  HISCED
##   12   1  FISCED  MISCED  HISCED
##   12   2  FISCED  MISCED  HISCED
##   12   3  FISCED  MISCED  HISCED
##   12   4  FISCED  MISCED  HISCED
##   12   5  FISCED  MISCED  HISCED
##   13   1  FISCED  MISCED  HISCED
##   13   2  FISCED  MISCED  HISCED
##   13   3  FISCED  MISCED  HISCED
##   13   4  FISCED  MISCED  HISCED
##   13   5  FISCED  MISCED  HISCED
##   14   1  FISCED  MISCED  HISCED
##   14   2  FISCED  MISCED  HISCED
##   14   3  FISCED  MISCED  HISCED
##   14   4  FISCED  MISCED  HISCED
##   14   5  FISCED  MISCED  HISCED
##   15   1  FISCED  MISCED  HISCED
##   15   2  FISCED  MISCED  HISCED
##   15   3  FISCED  MISCED  HISCED
##   15   4  FISCED  MISCED  HISCED
##   15   5  FISCED  MISCED  HISCED
##   16   1  FISCED  MISCED  HISCED
##   16   2  FISCED  MISCED  HISCED
##   16   3  FISCED  MISCED  HISCED
##   16   4  FISCED  MISCED  HISCED
##   16   5  FISCED  MISCED  HISCED
##   17   1  FISCED  MISCED  HISCED
##   17   2  FISCED  MISCED  HISCED
##   17   3  FISCED  MISCED  HISCED
##   17   4  FISCED  MISCED  HISCED
##   17   5  FISCED  MISCED  HISCED
##   18   1  FISCED  MISCED  HISCED
##   18   2  FISCED  MISCED  HISCED
##   18   3  FISCED  MISCED  HISCED
##   18   4  FISCED  MISCED  HISCED
##   18   5  FISCED  MISCED  HISCED
##   19   1  FISCED  MISCED  HISCED
##   19   2  FISCED  MISCED  HISCED
##   19   3  FISCED  MISCED  HISCED
##   19   4  FISCED  MISCED  HISCED
##   19   5  FISCED  MISCED  HISCED
##   20   1  FISCED  MISCED  HISCED
##   20   2  FISCED  MISCED  HISCED
##   20   3  FISCED  MISCED  HISCED
##   20   4  FISCED  MISCED  HISCED
##   20   5  FISCED  MISCED  HISCED
##   21   1  FISCED  MISCED  HISCED
##   21   2  FISCED  MISCED  HISCED
##   21   3  FISCED  MISCED  HISCED
##   21   4  FISCED  MISCED  HISCED
##   21   5  FISCED  MISCED  HISCED
##   22   1  FISCED  MISCED  HISCED
##   22   2  FISCED  MISCED  HISCED
##   22   3  FISCED  MISCED  HISCED
##   22   4  FISCED  MISCED  HISCED
##   22   5  FISCED  MISCED  HISCED
##   23   1  FISCED  MISCED  HISCED
##   23   2  FISCED  MISCED  HISCED
##   23   3  FISCED  MISCED  HISCED
##   23   4  FISCED  MISCED  HISCED
##   23   5  FISCED  MISCED  HISCED
##   24   1  FISCED  MISCED  HISCED
##   24   2  FISCED  MISCED  HISCED
##   24   3  FISCED  MISCED  HISCED
##   24   4  FISCED  MISCED  HISCED
##   24   5  FISCED  MISCED  HISCED
##   25   1  FISCED  MISCED  HISCED
##   25   2  FISCED  MISCED  HISCED
##   25   3  FISCED  MISCED  HISCED
##   25   4  FISCED  MISCED  HISCED
##   25   5  FISCED  MISCED  HISCED
##   26   1  FISCED  MISCED  HISCED
##   26   2  FISCED  MISCED  HISCED
##   26   3  FISCED  MISCED  HISCED
##   26   4  FISCED  MISCED  HISCED
##   26   5  FISCED  MISCED  HISCED
##   27   1  FISCED  MISCED  HISCED
##   27   2  FISCED  MISCED  HISCED
##   27   3  FISCED  MISCED  HISCED
##   27   4  FISCED  MISCED  HISCED
##   27   5  FISCED  MISCED  HISCED
##   28   1  FISCED  MISCED  HISCED
##   28   2  FISCED  MISCED  HISCED
##   28   3  FISCED  MISCED  HISCED
##   28   4  FISCED  MISCED  HISCED
##   28   5  FISCED  MISCED  HISCED
##   29   1  FISCED  MISCED  HISCED
##   29   2  FISCED  MISCED  HISCED
##   29   3  FISCED  MISCED  HISCED
##   29   4  FISCED  MISCED  HISCED
##   29   5  FISCED  MISCED  HISCED
##   30   1  FISCED  MISCED  HISCED
##   30   2  FISCED  MISCED  HISCED
##   30   3  FISCED  MISCED  HISCED
##   30   4  FISCED  MISCED  HISCED
##   30   5  FISCED  MISCED  HISCED
##   31   1  FISCED  MISCED  HISCED
##   31   2  FISCED  MISCED  HISCED
##   31   3  FISCED  MISCED  HISCED
##   31   4  FISCED  MISCED  HISCED
##   31   5  FISCED  MISCED  HISCED
##   32   1  FISCED  MISCED  HISCED
##   32   2  FISCED  MISCED  HISCED
##   32   3  FISCED  MISCED  HISCED
##   32   4  FISCED  MISCED  HISCED
##   32   5  FISCED  MISCED  HISCED
##   33   1  FISCED  MISCED  HISCED
##   33   2  FISCED  MISCED  HISCED
##   33   3  FISCED  MISCED  HISCED
##   33   4  FISCED  MISCED  HISCED
##   33   5  FISCED  MISCED  HISCED
##   34   1  FISCED  MISCED  HISCED
##   34   2  FISCED  MISCED  HISCED
##   34   3  FISCED  MISCED  HISCED
##   34   4  FISCED  MISCED  HISCED
##   34   5  FISCED  MISCED  HISCED
##   35   1  FISCED  MISCED  HISCED
##   35   2  FISCED  MISCED  HISCED
##   35   3  FISCED  MISCED  HISCED
##   35   4  FISCED  MISCED  HISCED
##   35   5  FISCED  MISCED  HISCED
##   36   1  FISCED  MISCED  HISCED
##   36   2  FISCED  MISCED  HISCED
##   36   3  FISCED  MISCED  HISCED
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## 3422  7 9  8 10  8
## 3433  8 9  6  5 10
## 3473  6 7  1  9  8
## 3482 10 3  6  8  9
## 3526  8 5  6  6  9
## 3540  6 9  6  5  7
## 3592  9 3  7 10 10
## 3606 10 9  8 10  9
## 3640  6 5  8  8  3
## 3648  6 7 10 10 10
## 3655  7 7  3  6  5
## 3674  6 9  7  5  5
## 3694  8 9  8  7  9
## 3695  3 8  7 10  6
## 3710  6 9  5 10  7
## 3717  7 6  6  6  6
## 3764  8 9  7  8  9
## 3781  6 6 10  9 10
## 3785  9 7  6 10  6
## 3806  6 9  7  9  3
## 3833  3 9  6  9  6
## 3850  7 9 10 10  5
## 3865  9 5  7  2  6
## 3895 10 9  6  8  9
## 3913  7 9  7  7  9
## 3931  7 5  6 10  3
## 3939  8 8  3  1  3
## 3996  1 2  2  2  2
## 4014 10 8 10 10  7
## 4055  6 5  6  5  5
## 4071  8 9  7  8  9
## 4079  9 5  8  5  9
## 4087 10 7  6  8  5
## 4096  6 5  6  8 10
## 4097  8 8  6  8  5
## 4098 10 9  6  9  3
## 4126  3 6  6 10  8
## 4176  8 7  7  3  7
## 4182  8 7  8  7  5
## 4199  9 7  6 10  9
## 4211 10 9  7 10 10
## 4221  6 9  6 10  5
## 4267 10 6  7  6  8
## 4270  7 7  7  5 10
## 4274  5 5  3  5  5
## 4301  7 9  8 10 10
## 4323  8 7  7  5  5
## 4329 10 9  6 10 10
## 4356  7 9  7  3 10
## 4371  8 9  6  8  6
## 4400 10 9  6 10  9
## 4401  7 9  7  9  5
## 4403  6 8  7  9  9
## 4450  6 7  6  9  9
## 4465  5 9  6  8  7
## 4495  6 5  6 10  7
## 4512  6 9  5  8  5
## 4523  9 7  7 10  9
## 4542  7 9  5  7  5
## 4545  9 8 10  5  8
## 
## $HISCED
##       1  2  3  4  5
## 15    6  8  5 10 10
## 28    5  9  8  9  8
## 69    5 10  7 10  6
## 81    7  9  8  7  5
## 92   10  9  6  6 10
## 101  10 10  8 10  8
## 133   8  3  7 10  3
## 152   9 10  7 10  5
## 160  10  6  7 10  5
## 164  10  9  6 10 10
## 172   6 10  8 10 10
## 174   5 10  6  2  5
## 176   6  8  6  9 10
## 217   9 10  8  8  7
## 225   6  8  5 10 10
## 352   5  9  8  5 10
## 406   7 10  8  8 10
## 450   7  9  7  8  8
## 472   3 10  8  8 10
## 494   5  6  7  5 10
## 589   8  6  5 10  7
## 600   6 10  6  9  8
## 650  10  8  8  3  8
## 653  10 10  7  7  8
## 683  10  8  5  3  8
## 691  10  6  8  8  8
## 734  10 10 10  9 10
## 742   8  7  5  8  9
## 754   7  8  7  6  7
## 762   6 10  7  8 10
## 774   8 10  8 10  8
## 838   5  8  8 10  6
## 849   8 10  8  6 10
## 856  10  8  7  8  8
## 868   7  9 10  8 10
## 921   6  8 10  6 10
## 924   5 10  6 10  5
## 933  10 10  1  8  6
## 938  10  6  7 10  6
## 942  10  9  7  9  5
## 981   8 10 10 10  8
## 996  10  6  6  3  6
## 1000  6  3 10  9  8
## 1003 10  6  8  9 10
## 1079  8  9  8  3  5
## 1087  8 10  8 10 10
## 1108 10  6  7 10  8
## 1111  8  3  6 10  6
## 1156  6 10  8  8  5
## 1159  8  6  7  7  5
## 1254 10  6  7  9  8
## 1262  7 10  7  8 10
## 1294  7  9  5  3  5
## 1310  9 10  5  6  8
## 1314  8  3  8  9  8
## 1318  7  8 10  6  8
## 1324  6 10  6  7  8
## 1327  6  6  8 10  6
## 1365  8 10  7  9 10
## 1369  6  9  8  8 10
## 1401 10  8  7  6 10
## 1432 10  5  8 10  8
## 1483  8 10  7  8 10
## 1489 10  8 10 10  6
## 1501  6  9  6  8 10
## 1555  7  9  6  6  9
## 1574  6 10  7  3  9
## 1575  8  9 10  3  5
## 1621  9 10 10 10  5
## 1646  6  8  8  9  6
## 1648  6 10 10  6  8
## 1667 10  8  8  6 10
## 1726  7 10  7  9 10
## 1731 10  8  7  6 10
## 1771 10  6  8  6  6
## 1775  3  9  5 10  5
## 1784  7 10  7  7  8
## 1828  6  3  6  8 10
## 1856 10 10 10  8 10
## 1881  8 10  8  8 10
## 1882  8  9  7 10  1
## 1896  7  6  6  7 10
## 1919  6  6 10  9 10
## 1995  3 10  7 10  5
## 2008  7 10  7  6 10
## 2020  5  9  7  3 10
## 2051  7 10  7 10  9
## 2053  5 10  8  5  8
## 2055 10 10  5  8 10
## 2074  8  3  7  9  5
## 2112  8  9  7  6  2
## 2114  7  7  6  9  9
## 2126  8  8  6  9  5
## 2134  8 10  8  2  7
## 2142 10 10  6  6  8
## 2168  8 10  6 10  6
## 2174  6 10  6  9  5
## 2182  8  8  6  8 10
## 2194  7 10  5  7  8
## 2253  9  9 10  8 10
## 2261 10 10  7 10  8
## 2280  8  9  7 10 10
## 2340  8  6 10  8 10
## 2347  6 10  7 10  8
## 2380  8  6  2  5 10
## 2446  8 10  6  7  5
## 2447  8  8 10 10 10
## 2452  8 10  5 10 10
## 2455  8  8  7  8  2
## 2487 10 10  7  8  5
## 2511  7  6  5 10  5
## 2523  5 10  7  8  5
## 2532  6  5  6  7  8
## 2541 10  8 10  8  6
## 2554  7  6  6  7  8
## 2575  7 10  7 10  7
## 2585  3 10  1 10 10
## 2586  6 10  6  6 10
## 2601  7 10  6 10  5
## 2621 10 10  7  7 10
## 2703  5  3  6 10  9
## 2720  8 10  8  8  5
## 2742  5  6  6  7 10
## 2743 10  6  7 10 10
## 2770  6  9  7  7  9
## 2795  3  8  7  8 10
## 2856  8  6  8  8 10
## 2863  6 10  5  9  8
## 2865  6  8  6  9  5
## 2873 10  6  6  7  9
## 2889 10 10  7  8 10
## 2895  7 10  7  7  8
## 2897  7  6  8 10  8
## 2903  9  6  5 10 10
## 2941  8 10  6 10  6
## 2942  9 10  6  6 10
## 2954  6 10  6  7  5
## 2958 10  6  7 10  8
## 2963 10 10  7  6  9
## 2965 10 10  8  6  7
## 2968 10  6  8  6 10
## 2974 10 10  8 10  9
## 2975 10  9  5  9 10
## 2992 10  9  7 10  5
## 3003 10 10  7  8  6
## 3010  8 10  6  8  8
## 3017  6 10 10  7  8
## 3027  3 10  8 10  7
## 3075  7  8  7 10  9
## 3077  8  8  6  6  8
## 3086  7 10  7  8 10
## 3100  6  6  7  8  8
## 3122  8  6  7 10 10
## 3152  5 10  6  9  6
## 3199  3  9  7  2 10
## 3233  6  6  8  8  8
## 3239 10 10  6  8  5
## 3244  5  6  8  9 10
## 3260  3 10  8  9 10
## 3283  8 10  8  6  5
## 3313  5  8 10  3  8
## 3333  9 10  7  8  5
## 3353 10 10  7  8 10
## 3365  8 10  8 10  5
## 3382  6 10  7 10 10
## 3383 10  6  7 10 10
## 3386  7  9  6  3  6
## 3404 10 10  7 10  7
## 3422  8 10  8 10  8
## 3433  8 10  6  5 10
## 3473  6  7  1  9  8
## 3482 10  3  6  8  9
## 3526  8  6  6  7 10
## 3540  7 10  7  8  8
## 3592  9  3  7 10 10
## 3606 10  9  8 10  9
## 3640  6  6  8  8  5
## 3648  6  8 10 10 10
## 3655  7  8  5  6  6
## 3674  6 10  8  6  5
## 3694  8 10  8  9  9
## 3695  3  9  7 10  7
## 3710  6 10  6 10  8
## 3764 10 10  7  8 10
## 3781  6  7 10  9 10
## 3785 10  9 10 10  6
## 3806  6 10  7  9  3
## 3833  3 10  6  9  7
## 3850  7 10 10 10  5
## 3865 10  6  8  3  6
## 3895 10 10  7  8 10
## 3913  7  9  9  7 10
## 3931  8  6  6 10  5
## 3939  8  9  5  2  3
## 4014 10  9 10 10  8
## 4071  8 10  7  9 10
## 4079 10  6  8  6  9
## 4087 10  7  6  9  5
## 4096  6  6  7  8 10
## 4097  8 10  6  8  5
## 4098 10 10  7  9  5
## 4126  3  7  6 10  8
## 4182  8  9  8  7  5
## 4199 10  7  7 10 10
## 4211 10 10  9 10 10
## 4221  6 10  6 10  5
## 4267 10  6  7  7  9
## 4270  7  8  8  6 10
## 4301  7  9  8 10 10
## 4323  8  7  7  5  5
## 4329 10 10  6 10 10
## 4356  8 10  7  6 10
## 4371 10 10  7  8  7
## 4400 10  9  6 10  9
## 4401  7 10  8  9  6
## 4403  6  9  8  9 10
## 4450  6  7  6  9 10
## 4465  5 10  6  8  8
## 4495  6  6  6 10  8
## 4512  6 10  5  8  5
## 4523  9  8  7 10 10
## 4542  7  9  5  7  5
## 4545 10  9 10  6  8
Lineer Regresyon Analizi:
fit <- with(imputed_data, lm(FISCED ~ MISCED + HISCED))
pooled_results <- pool(fit)
summary(pooled_results)
##          term   estimate  std.error  statistic       df      p.value
## 1 (Intercept)  0.5957026 0.08965003   6.644757 31.40997 1.863912e-07
## 2      MISCED -0.4059848 0.02615395 -15.522888 20.59632 7.746354e-13
## 3      HISCED  1.1716772 0.02337595  50.123198 75.11336 1.731593e-59