# S.STpiPS: Stratified Sampling Applying Without Replacement piPS Design... In TeachingSampling: Selection of Samples and Parameter Estimation in Finite Population

## Description

Draws a probability proportional to size simple random sample without replacement of size n_h in stratum h of size N_h

## Usage

 `1` ```S.STpiPS(S,x,nh) ```

## Arguments

 `S` Vector identifying the membership to the strata of each unit in the population `x` Vector of auxiliary information for each unit in the population `nh` Vector of sample size in each stratum

## Details

The selected sample is drawn according to the Sunter method (sequential-list procedure) in each stratum

## Value

The function returns a matrix of n=n_1+\cdots+n_h rows and two columns. Each element of the first column indicates the unit that was selected. Each element of the second column indicates the inclusion probability of this unit

## Author(s)

Hugo Andres Gutierrez Rojas hagutierrezro@gmail.com

## References

Sarndal, C-E. and Swensson, B. and Wretman, J. (1992), Model Assisted Survey Sampling. Springer.
Gutierrez, H. A. (2009), Estrategias de muestreo: Diseno de encuestas y estimacion de parametros. Editorial Universidad Santo Tomas.

`E.STpiPS`

## Examples

 ``` 1 2 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 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56``` ```############ ## Example 1 ############ # Vector U contains the label of a population of size N=5 U <- c("Yves", "Ken", "Erik", "Sharon", "Leslie") # The auxiliary information x <- c(52, 60, 75, 100, 50) # Vector Strata contains an indicator variable of stratum membership Strata <- c("A", "A", "A", "B", "B") # Then sample size in each stratum mh <- c(2,2) # Draws a stratified PPS sample with replacement of size n=4 res <- S.STPPS(Strata, x, mh) # The selected sample sam <- res[,1] U[sam] # The selection probability of each unit selected to be in the sample pk <- res[,2] pk ############ ## Example 2 ############ # Uses the Lucy data to draw a stratified random sample # according to a piPS design in each stratum data(Lucy) attach(Lucy) # Level is the stratifying variable summary(Level) # Defines the size of each stratum N1<-summary(Level)[[1]] N2<-summary(Level)[[2]] N3<-summary(Level)[[3]] N1;N2;N3 # Defines the sample size at each stratum n1<-70 n2<-100 n3<-200 nh<-c(n1,n2,n3) nh # Draws a stratified sample S <- Level x <- Employees res <- S.STpiPS(S, x, nh) sam<-res[,1] # The information about the units in the sample is stored in an object called data data <- Lucy[sam,] data dim(data) # The selection probability of each unit selected in the sample pik <- res[,2] pik ```

### Example output

```Loading required package: dplyr

Attaching package: ‘dplyr’

The following objects are masked from ‘package:stats’:

filter, lag

The following objects are masked from ‘package:base’:

intersect, setdiff, setequal, union

[1] "Ken"    "Erik"   "Sharon" "Sharon"
[1] 0.3208556 0.4010695 0.6666667 0.6666667
Big Medium  Small
83    737   1576
[1] 83
[1] 737
[1] 1576
[1]  70 100 200
ID Ubication  Level Zone Income Employees Taxes SPAM
1     AB001      c1k1  Small    A    281        41   3.0   no
5     AB005      c1k5  Small    A    391        91   7.0  yes
14    AB014     c1k14  Small    A    330        23   4.0  yes
29    AB029     c1k29  Small    A    310        94   4.0  yes
30    AB030     c1k30  Small    A    354        33   5.0  yes
32    AB032     c1k32  Small    A    380        18   6.0  yes
38    AB038     c1k38  Small    A    462        84   9.0  yes
44    AB044     c1k44  Small    A    337        44   5.0   no
59    AB062     c1k59  Small    A    470        28  10.0  yes
61    AB064     c1k61  Small    A    350        76   5.0   no
69    AB072     c1k69  Small    A    390        95   7.0  yes
76    AB081     c1k76  Small    A    313        82   4.0   no
77    AB082     c1k77  Small    A    410        24   7.0  yes
80    AB085     c1k80  Small    A    401        79   7.0  yes
95   AB1151     c1k95  Small    A    490        98  10.5  yes
97    AB117     c1k97  Small    A    378        30   6.0   no
99   AB1194     c1k99  Small    B    480        49  10.0   no
100   AB121      c2k1  Small    B    490        50  10.5  yes
127  AB1337     c2k28  Small    B    270        32   3.0   no
128  AB1338     c2k29  Small    B    282        69   3.0  yes
134  AB1343     c2k35  Small    B    340        36   5.0   no
137  AB1346     c2k38  Small    B    340        96   5.0  yes
143  AB1351     c2k44  Small    B    245        39   2.0   no
144  AB1352     c2k45  Small    B    273        16   3.0  yes
169  AB1375     c2k70  Small    B    265        48   3.0  yes
177  AB1382     c2k78  Small    B    319        55   4.0  yes
181  AB1386     c2k82  Small    B    250        59   2.0  yes
188  AB1392     c2k89  Small    B    313        14   4.0   no
190  AB1394     c2k91  Small    B    296        69   3.0   no
191  AB1395     c2k92  Small    B    339        48   5.0   no
197  AB1400     c2k98  Small    B    220        50   2.0   no
198  AB1401     c2k99  Small    B    201        81   1.0  yes
217  AB1419     c3k19  Small    B    338        88   5.0  yes
227  AB1428     c3k29  Small    B    300        33   3.0  yes
259  AB1457     c3k61  Small    B    330        96   4.0  yes
263  AB1460     c3k65  Small    B    300        78   3.0  yes
295   AB149     c3k97  Small    B    118        70   0.5   no
302  AB1496      c4k5  Small    B    202        73   1.0   no
304  AB1498      c4k7  Small    B    360        53   5.0  yes
321  AB1513     c4k24  Small    B    196        45   1.0  yes
323  AB1515     c4k26  Small    B    241        87   2.0  yes
337  AB1528     c4k40  Small    B    235        51   2.0   no
341  AB1531     c4k44  Small    B    295        49   3.0  yes
351  AB1540     c4k54  Small    B    300        82   3.0   no
356  AB1545     c4k59  Small    B    235        71   2.0   no
358  AB1547     c4k61  Small    B    258        68   2.0  yes
369  AB1557     c4k72  Small    B    290        89   3.0  yes
386  AB1572     c4k89  Small    B    270        76   3.0   no
394   AB158     c4k97  Small    B     76        85   0.5  yes
395  AB1580     c4k98  Small    B    299        85   3.0   no
399  AB1584      c5k3  Small    B    230        18   2.0  yes
400  AB1585      c5k4  Small    B    300        54   3.0  yes
405   AB159      c5k9  Small    B     65        73   0.5  yes
410  AB1594     c5k14  Small    B    264        44   3.0   no
421  AB1604     c5k25  Small    B    315        27   4.0  yes
443  AB1624     c5k47  Small    B    291        45   3.0  yes
456  AB1636     c5k60  Small    B    251        23   2.0   no
467  AB1646     c5k71  Small    B    334        76   5.0   no
471   AB165     c5k75  Small    B    149        19   0.5  yes
478  AB1656     c5k82  Small    B    233        35   2.0   no
487  AB1664     c5k91  Small    B    273        56   3.0  yes
499  AB1675      c6k4  Small    B    356        81   5.0  yes
503  AB1679      c6k8  Small    B    250        59   2.0  yes
514  AB1689     c6k19  Small    B    165        64   1.0   no
516  AB1690     c6k21  Small    B    180        64   1.0   no
521  AB1695     c6k26  Small    B    204        73   1.0   no
548   AB172     c6k53  Small    B     80        77   0.5  yes
569  AB1739     c6k74  Small    B    124        78   0.5  yes
574  AB1743     c6k79  Small    B    196        89   1.0  yes
577  AB1746     c6k82  Small    B    141        67   0.5  yes
586  AB1754     c6k91  Small    B    145        59   0.5  yes
590  AB1758     c6k95  Small    B    152        43   1.0   no
592   AB176     c6k97  Small    B     83        85   0.5  yes
597  AB1764      c7k3  Small    B    189        53   1.0   no
600  AB1767      c7k6  Small    B    175        44   1.0  yes
612  AB1778     c7k18  Small    B    134        31   0.5  yes
634  AB1798     c7k40  Small    B     97        45   0.5  yes
636   AB180     c7k42  Small    B     24        61   0.5  yes
639  AB1802     c7k45  Small    B    131        82   0.5   no
642  AB1805     c7k48  Small    B    154        87   1.0  yes
656  AB1818     c7k62  Small    B    151         7   1.0  yes
666  AB1827     c7k72  Small    B    160        56   1.0  yes
671  AB1831     c7k77  Small    B    131        82   0.5   no
674  AB1834     c7k80  Small    B    131        22   0.5   no
675  AB1835     c7k81  Small    B    131        82   0.5  yes
712  AB1869     c8k19  Small    C    172        56   1.0  yes
728  AB1883     c8k35  Small    C    482        73  10.5   no
738  AB1892     c8k45  Small    C    490        30  10.5  yes
739  AB1893     c8k46  Small    C    391        71   7.0  yes
741  AB1895     c8k48  Small    C    350        48   5.0  yes
756  AB1910     c8k63  Small    C    350        92   5.0  yes
771  AB1924     c8k78  Small    C    410        56   7.0  yes
786   AB194     c8k93  Small    C    153        27   1.0   no
789  AB1944     c8k96  Small    C    380        38   6.0  yes
809  AB1963     c9k17  Small    C    400        95   7.0   no
811  AB1965     c9k19  Small    C    475        89  10.0  yes
821  AB1974     c9k29  Small    C    410        28   7.0  yes
823  AB1976     c9k31  Small    C    440        70   8.0  yes
824  AB1977     c9k32  Small    C    390        31   6.0   no
831  AB1983     c9k39  Small    C    440        94   8.0  yes
836  AB1989     c9k44  Small    C    350        92   5.0   no
845  AB1997     c9k53  Small    C    400        95   7.0  yes
847  AB1999     c9k55  Small    C    430        97   8.0   no
853  AB2005     c9k61  Small    C    390        47   6.0  yes
854  AB2006     c9k62  Small    C    330        87   4.0  yes
866  AB2022     c9k74  Small    C    370        54   6.0   no
870  AB2026     c9k78  Small    C    460        39   9.0  yes
890  AB2049     c9k98  Small    C    480        85  10.0  yes
895  AB2055     c10k4  Small    C    410        96   7.0  yes
898  AB2059     c10k7  Small    C    417        20   7.0   no
912  AB2073    c10k21  Small    C    420        76   8.0   no
915  AB2076    c10k24  Small    C    421       101   8.0   no
924  AB2088    c10k33  Small    C    482        37  10.5   no
937  AB2101    c10k46  Small    C    400        39   7.0  yes
945  AB2110    c10k54  Small    C    468        92  10.0  yes
949  AB2116    c10k58  Small    C    457        95   9.0   no
957  AB2123    c10k66  Small    C    376        30   6.0  yes
958  AB2124    c10k67  Small    C    460        91   9.0   no
960  AB2128    c10k69  Small    C    420        60   8.0  yes
962   AB213    c10k71  Small    C    186        80   1.0   no
966  AB2133    c10k75  Small    C    370        66   6.0   no
967  AB2134    c10k76  Small    C    360        29   5.0  yes
979  AB2147    c10k88  Small    C    487       105  10.5  yes
982   AB215    c10k91  Small    C    180        36   1.0  yes
984  AB2151    c10k93  Small    C    410        88   7.0  yes
985  AB2152    c10k94  Small    C    452        63   9.0   no
999  AB2166     c11k9  Small    C    392        75   7.0  yes
1000 AB2167    c11k10  Small    C    449        70   9.0   no
1002 AB2169    c11k12  Small    C    260        68   2.0   no
1006 AB2172    c11k16  Small    C    370        54   6.0  yes
1008 AB2174    c11k18  Small    C    490        74  10.5  yes
1018 AB2188    c11k28  Small    C    386        23   6.0  yes
1026 AB2198    c11k36  Small    C    366        69   6.0   no
1035 AB2207    c11k45  Small    C    350        24   5.0   no
1038  AB221    c11k48  Small    C     20        41   0.5   no
1040 AB2211    c11k50  Small    C    360        41   5.0  yes
1045 AB2217    c11k55  Small    C    430        69   8.0   no
1064 AB2237    c11k74  Small    C    487        53  10.5   no
1075 AB2248    c11k85  Small    C    411        52   7.0  yes
1078 AB2250    c11k88  Small    C    435        73   8.0   no
1083 AB2258    c11k93  Small    C    394        87   7.0  yes
1087 AB2261    c11k97  Small    C    440        70   8.0   no
1090 AB2265     c12k1  Small    C    477        61  10.0  yes
1094  AB227     c12k5  Small    C    122        54   0.5  yes
1105 AB2280    c12k16  Small    C    430        61   8.0  yes
1109 AB2285    c12k20  Small    C    428        57   8.0   no
1118 AB2293    c12k29  Small    C    450        79   9.0  yes
1126 AB2300    c12k37  Small    C    450        27   9.0   no
1127 AB2301    c12k38  Small    C    457        67   9.0   no
1143 AB2319    c12k54  Small    C    419       100   7.0  yes
1146 AB2321    c12k57  Small    C    454        51   9.0  yes
1156 AB2331    c12k67  Small    C    248        79   2.0  yes
1157 AB2332    c12k68  Small    C    434        61   8.0   no
1164 AB2341    c12k75  Small    C    431        33   8.0  yes
1168 AB2345    c12k79  Small    C    341        76   5.0  yes
1176 AB2353    c12k87  Small    C    484        25  10.5   no
1181 AB2358    c12k92  Small    C    348        56   5.0  yes
1186 AB2362    c12k97  Small    C    382        66   6.0  yes
1197 AB2372     c13k9  Small    C    467        84  10.0   no
1209 AB2387    c13k21  Small    C    405        52   7.0   no
1265  AB286    c13k77  Small    C    143        83   0.5  yes
1281  AB302    c13k93  Small    C    204        53   1.0  yes
1288  AB309     c14k1  Small    C    101        53   0.5   no
1299  AB320    c14k12  Small    C    121        22   0.5  yes
1314  AB335    c14k27  Small    C     65        65   0.5  yes
1329  AB350    c14k42  Small    C    139        79   0.5  yes
1339  AB360    c14k52  Small    C    167        72   1.0  yes
1351  AB372    c14k64  Small    C    154        55   1.0  yes
1379  AB400    c14k92  Small    C    146        35   0.5  yes
1390  AB411     c15k4  Small    C    168        32   1.0  yes
1391  AB412     c15k5  Small    C     76        85   0.5  yes
1393  AB414     c15k7  Small    C    113        62   0.5   no
1395  AB416     c15k9  Small    C    174        36   1.0   no
1402  AB423    c15k16  Small    C    300        50   3.0  yes
1409  AB430    c15k23  Small    C    276        48   3.0  yes
1412  AB433    c15k26  Small    C    232        87   2.0   no
1460  AB481    c15k74  Small    C    227        50   2.0   no
1465  AB486    c15k79  Small    C    342        40   5.0   no
1467  AB488    c15k81  Small    C    195        61   1.0   no
1475  AB496    c15k89  Small    C    235        87   2.0  yes
1476  AB497    c15k90  Small    C    239        31   2.0  yes
1481  AB502    c15k95  Small    C    268        52   3.0   no
1491  AB512     c16k6  Small    C    250        75   2.0  yes
1494  AB515     c16k9  Small    C    274        44   3.0   no
1500  AB521    c16k15  Small    C    270        76   3.0   no
1507  AB528    c16k22  Small    C    214        34   1.0   no
1514  AB535    c16k29  Small    C    286        41   3.0  yes
1519  AB540    c16k34  Small    C    283        65   3.0   no
1522  AB543    c16k37  Small    C    318        71   4.0  yes
1526  AB547    c16k41  Small    C    202        45   1.0  yes
1532  AB553    c16k47  Small    C    308        14   4.0   no
1539  AB560    c16k54  Small    C    243        75   2.0  yes
1545  AB566    c16k60  Small    C    200        69   1.0  yes
1553  AB623    c16k68  Small    D    486        97  10.5  yes
1555  AB640    c16k70  Small    D    370        38   6.0  yes
1558  AB661    c16k73  Small    D    460        96   9.0   no
1564  AB730    c16k79  Small    D    420       101   8.0  yes
1566  AB754    c16k81  Small    D    474        97  10.0   no
1573  AB852    c16k88  Small    E    480        89  10.0  yes
1575  AB958    c16k90  Small    E    490        38  10.5  yes
1584  AB093    c16k99 Medium    A    651        42  22.0   no
1590 AB1002     c17k6 Medium    A    743       127  27.0   no
1595 AB1007    c17k11 Medium    A    740       122  27.0   no
1596 AB1009    c17k12 Medium    A    600        44  17.0  yes
1602 AB1015    c17k18 Medium    A    834       140  35.0  yes
1616 AB1030    c17k32 Medium    A    710        92  26.0  yes
1622 AB1036    c17k38 Medium    A    904        77  41.0  yes
1637 AB1055    c17k53 Medium    A    550        87  14.0  yes
1652  AB107    c17k68 Medium    A    560        72  15.0  yes
1653 AB1070    c17k69 Medium    A    820       106  34.0  yes
1657 AB1075    c17k73 Medium    A    563        64  15.0   no
1659 AB1077    c17k75 Medium    A    611       102  19.0  yes
1661 AB1079    c17k77 Medium    A    557        32  14.0  yes
1693 AB1113    c18k10 Medium    A    530        61  13.0  yes
1706 AB1134    c18k23 Medium    A    619        78  19.0   no
1718 AB1146    c18k35 Medium    A    760        84  29.0   no
1719 AB1147    c18k36 Medium    A    960        73  44.0  yes
1722 AB1150    c18k39 Medium    A    512        92  12.0   no
1723 AB1152    c18k40 Medium    A    560        60  15.0   no
1734 AB1164    c18k51 Medium    A    753        56  29.0  yes
1737 AB1167    c18k54 Medium    A    850       125  36.0  yes
1750 AB1181    c18k67 Medium    A    810       120  32.0   no
1755 AB1186    c18k72 Medium    A    990       145  47.0   no
1759 AB1190    c18k76 Medium    B    556        52  14.0  yes
1765 AB1198    c18k82 Medium    B    958       149  44.0   no
1766  AB120    c18k83 Medium    B    600        48  18.0   no
1773 AB1207    c18k90 Medium    B    920       118  41.0  yes
1776 AB1213    c18k93 Medium    B    530       105  13.0  yes
1779 AB1216    c18k96 Medium    B    632       112  20.0   no
1793 AB1239    c19k11 Medium    B    550        95  14.0   no
1796 AB1243    c19k14 Medium    B    540        74  13.0  yes
1807 AB1256    c19k25 Medium    B    618        70  19.0  yes
1824 AB1273    c19k42 Medium    B    621        43  19.0  yes
1829 AB1278    c19k47 Medium    B    804       103  32.0   no
1831 AB1280    c19k49 Medium    B    963       106  45.0  yes
1835 AB1285    c19k53 Medium    B    669        79  22.0  yes
1845 AB1296    c19k63 Medium    B    674        47  23.0  yes
1847 AB1298    c19k65 Medium    B    619        46  19.0  yes
1851 AB1302    c19k69 Medium    B    944       131  43.0   no
1852 AB1303    c19k70 Medium    B    503        91  12.0  yes
1862 AB1315    c19k80 Medium    B    915       129  41.0  yes
1863 AB1316    c19k81 Medium    B    649       117  21.0   no
1864 AB1318    c19k82 Medium    B    511       104  12.0  yes
1867 AB1321    c19k85 Medium    B    619        94  19.0  yes
1873 AB1327    c19k91 Medium    B    500        42  11.0  yes
1877 AB1331    c19k95 Medium    B    960        78  45.0  yes
1883 AB1942     c20k2 Medium    C    560        84  14.0  yes
1894 AB2031    c20k13 Medium    C    540        74  13.0   no
1920 AB2179    c20k39 Medium    C    579        49  16.0  yes
1929 AB2227    c20k48 Medium    C    512        92  12.0   no
1931 AB2238    c20k50 Medium    C    540        66  13.0   no
1948 AB2378    c20k67 Medium    C    510        48  12.0  yes
1950 AB2382    c20k69 Medium    C    553        96  14.0  yes
1962  AB580    c20k81 Medium    C    550        67  14.0  yes
1967  AB585    c20k86 Medium    C    620        79  19.0   no
1969  AB587    c20k88 Medium    C    660       118  22.0   no
1971  AB589    c20k90 Medium    C    580        70  16.0  yes
1977  AB597    c20k96 Medium    C    570        73  15.0  yes
1988  AB611     c22k8 Medium    C    640        69  21.0   no
1990  AB613    c22k10 Medium    D    725        89  27.0  yes
2039  AB672    c22k59 Medium    D    500        99  11.0   no
2047  AB682    c22k67 Medium    D    650        81  22.0  yes
2048  AB683    c22k68 Medium    D    656        90  22.0   no
2055  AB690    c22k75 Medium    D    750        95  28.0  yes
2074  AB710    c22k94 Medium    D    630        75  20.0  yes
2077  AB713    c22k97 Medium    D    590        55  16.0  yes
2083  AB719     c23k4 Medium    D    630       103  19.0  yes
2084  AB720     c23k5 Medium    D    730       129  27.0  yes
2124  AB777    c23k45 Medium    D    580        54  16.0  yes
2136  AB789    c23k57 Medium    D    790       102  31.0  yes
2145  AB798    c23k66 Medium    D    880       120  38.0   no
2147  AB803    c23k68 Medium    D    700        66  25.0  yes
2152  AB808    c23k73 Medium    D    986       151  46.0  yes
2164  AB821    c23k85 Medium    D    674        92  23.0  yes
2166  AB823    c23k87 Medium    D    692        93  24.0  yes
2167  AB824    c23k88 Medium    D    683        96  23.0   no
2171  AB829    c23k92 Medium    D    595        87  17.0  yes
2177  AB836    c23k98 Medium    E    590        79  17.0   no
2181  AB840     c24k3 Medium    E    694        73  24.0  yes
2196  AB856    c24k18 Medium    E    810       113  32.0   no
2199  AB859    c24k21 Medium    E    810       105  33.0  yes
2201  AB861    c24k23 Medium    E    870       135  38.0  yes
2212  AB875    c24k34 Medium    E    850       141  36.0  yes
2228  AB896    c24k50 Medium    E    620        98  19.0  yes
2230  AB898    c24k52 Medium    E    670       115  23.0  yes
2235  AB903    c24k57 Medium    E    850       114  36.0  yes
2252  AB926    c24k74 Medium    E    640       100  20.0  yes
2258  AB933    c24k80 Medium    E    550        87  14.0  yes
2263  AB938    c24k85 Medium    E    520        52  12.0   no
2267  AB942    c24k89 Medium    E    610        86  18.0   no
2268  AB943    c24k90 Medium    E    610        73  18.0  yes
2269  AB944    c24k91 Medium    E    670        95  23.0  yes
2274  AB949    c24k96 Medium    E    644        53  21.0  yes
2290  AB970    c25k13 Medium    E    809       123  32.0   no
2291  AB971    c25k14 Medium    E    735       110  27.0  yes
2299  AB979    c25k22 Medium    E    960       138  45.0  yes
2303  AB989    c25k26 Medium    E    852       142  36.0   no
2309  AB995    c25k32 Medium    E    550        51  14.0   no
2310  AB996    c25k33 Medium    E    581       102  16.0  yes
2311  AB997    c25k34 Medium    E    590        75  16.0   no
2315  AB098    c25k38    Big    A   1155       117  62.0  yes
2316 AB1008    c25k39    Big    A   1390       171  77.0  yes
2318 AB1028    c25k41    Big    A   1193       122  63.0  yes
2319 AB1029    c25k42    Big    A   1110        97  58.0  yes
2323 AB1041    c25k46    Big    A   1100       109  58.0  yes
2324 AB1042    c25k47    Big    A   1100       161  57.0  yes
2325 AB1072    c25k48    Big    A   1434       157  83.0  yes
2326 AB1084    c25k49    Big    A   1396       172  82.0   no
2327 AB1093    c25k50    Big    A   1063       146  54.0  yes
2328 AB1094    c25k51    Big    A   1153       144  62.0  yes
2329 AB1096    c25k52    Big    A   1620       232 152.0   no
2330 AB1108    c25k53    Big    A   1094        83  57.0  yes
2331 AB1116    c25k54    Big    A   1090       137  55.0  yes
2332 AB1117    c25k55    Big    A   1315       170  70.0  yes
2333 AB1123    c25k56    Big    A   1020       133  50.0  yes
2334 AB1124    c25k57    Big    A   1130       126  59.0  yes
2335 AB1125    c25k58    Big    A   1450       133  94.0  yes
2336 AB1126    c25k59    Big    A   1614       159 138.0  yes
2337 AB1130    c25k60    Big    A   1080       140  54.0  yes
2338 AB1132    c25k61    Big    A   2510       258 305.0  yes
2339 AB1148    c25k62    Big    A   1230       140  64.0  yes
2340 AB1153    c25k63    Big    A   1121       146  59.0  yes
2341 AB1172    c25k64    Big    A   1440       133  84.0  yes
2343 AB1187    c25k66    Big    A   1459       176  99.0   no
2347 AB1211    c25k70    Big    B   1050       142  52.0  yes
2348 AB1212    c25k71    Big    B   1616       158 142.0  yes
2349 AB1217    c25k72    Big    B   1101       117  58.0  yes
2350 AB1220    c25k73    Big    B   1480       193 104.0   no
2351 AB1231    c25k74    Big    B   1160       121  62.0   no
2352 AB1232    c25k75    Big    B   1490       201 105.0  yes
2353 AB1251    c25k76    Big    B   1003       147  49.0  yes
2354 AB1283    c25k77    Big    B   1510       163 107.0  yes
2355 AB1308    c25k78    Big    B   1170       158  63.0   no
2356 AB1317    c25k79    Big    B   1030       122  51.0   no
2357  AB590    c25k80    Big    C   1360       134  76.0  yes
2358  AB636    c25k81    Big    D   1024       149  50.0  yes
2359  AB637    c25k82    Big    D   1405       111  83.0  yes
2360  AB670    c25k83    Big    D   1600       189 112.0  yes
2361  AB725    c25k84    Big    D   1005        83  49.0  yes
2362  AB727    c25k85    Big    D   1450       162  94.0  yes
2363  AB741    c25k86    Big    D   1093       119  56.0   no
2364  AB742    c25k87    Big    D   1030       149  50.0  yes
2365  AB744    c25k88    Big    D   1370       182  77.0   no
2367  AB746    c25k90    Big    D   1090       105  55.0  yes
2368  AB747    c25k91    Big    D   1280       145  65.0  yes
2369  AB748    c25k92    Big    D   1300       172  68.0  yes
2370  AB749    c25k93    Big    D   1911       263 196.0  yes
2372  AB767    c25k95    Big    D   1300       176  68.0  yes
2373  AB799    c25k96    Big    D   1094       131  56.0   no
2374  AB862    c25k97    Big    E   1010       132  50.0  yes
2375  AB863    c25k98    Big    E   1565       162 109.0   no
2376  AB864    c25k99    Big    E   1360       126  73.0  yes
2378  AB891     c26k2    Big    E   1040       118  52.0   no
2379  AB892     c26k3    Big    E   1084        92  54.0  yes
2380  AB893     c26k4    Big    E   1551       168 107.0   no
2381  AB904     c26k5    Big    E   1035        86  51.0  yes
2382  AB905     c26k6    Big    E   1405       110  83.0   no
2383  AB906     c26k7    Big    E   1250       100  64.0  yes
2384  AB908     c26k8    Big    E   1305       150  70.0  yes
2385  AB912     c26k9    Big    E   1088       133  55.0   no
2386  AB916    c26k10    Big    E   1161       157  62.0   no
2387  AB932    c26k11    Big    E   1360       104  72.0  yes
2388  AB953    c26k12    Big    E   1085       116  54.0   no
2389  AB956    c26k13    Big    E   1040        78  51.0  yes
2390  AB957    c26k14    Big    E   1220       163  63.0   no
2391  AB983    c26k15    Big    E   1030       145  51.0  yes
2392  AB984    c26k16    Big    E   1020        89  50.0  yes
2394  AB986    c26k18    Big    E   1297       161  67.0   no
2395  AB987    c26k19    Big    E   1640       225 169.0  yes
2396  AB988    c26k20    Big    E   1860       253 176.0  yes
[1] 370   8
[1] 0.10142741 0.22511936 0.05689830 0.23254088 0.08163669 0.04452910
[7] 0.20780249 0.10884892 0.06926750 0.18801178 0.23501472 0.20285481
[13] 0.05937214 0.19543329 0.24243624 0.07421517 0.12121812 0.12369196
[19] 0.07916285 0.17069490 0.08905821 0.23748856 0.09647973 0.03958143
[25] 0.11874428 0.13606115 0.14595651 0.03463375 0.17069490 0.11874428
[31] 0.12369196 0.20038097 0.21769785 0.08163669 0.23748856 0.19295945
[37] 0.17316874 0.18059026 0.13111348 0.11132276 0.21522401 0.12616580
[43] 0.12121812 0.20285481 0.17564258 0.16822106 0.22017168 0.18801178
[49] 0.21027633 0.21027633 0.04452910 0.13358731 0.18059026 0.10884892
[55] 0.06679366 0.11132276 0.05689830 0.18801178 0.04700294 0.08658437
[61] 0.13853499 0.20038097 0.14595651 0.15832571 0.15832571 0.18059026
[67] 0.19048561 0.19295945 0.22017168 0.16574722 0.14595651 0.10637508
[73] 0.21027633 0.13111348 0.10884892 0.07668901 0.11132276 0.15090419
[79] 0.20285481 0.21522401 0.01731687 0.13853499 0.20285481 0.05442446
[85] 0.20285481 0.13853499 0.18059026 0.07421517 0.17564258 0.11874428
[91] 0.22759320 0.13853499 0.06679366 0.09400589 0.23501472 0.22017168
[97] 0.06926750 0.17316874 0.07668901 0.23254088 0.22759320 0.23501472
[103] 0.23996240 0.11627044 0.21522401 0.13358731 0.09647973 0.21027633
[109] 0.23748856 0.04947678 0.18801178 0.24985775 0.09153205 0.09647973
[115] 0.22759320 0.23501472 0.07421517 0.22511936 0.14843035 0.19790713
[121] 0.16327338 0.07174134 0.25975311 0.08905821 0.21769785 0.15585187
[127] 0.18553794 0.17316874 0.16822106 0.13358731 0.18306410 0.05689830
[133] 0.17069490 0.05937214 0.10142741 0.10142741 0.17069490 0.13111348
[139] 0.12863964 0.18059026 0.21522401 0.17316874 0.15090419 0.13358731
[145] 0.15090419 0.14100883 0.19543329 0.06679366 0.16574722 0.24738392
[151] 0.12616580 0.19543329 0.15090419 0.08163669 0.18801178 0.06184598
[157] 0.13853499 0.16327338 0.20780249 0.12863964 0.20532865 0.13111348
[163] 0.13111348 0.05442446 0.16079954 0.19543329 0.17811642 0.13606115
[169] 0.08658437 0.07916285 0.21027633 0.15337803 0.08905821 0.12369196
[175] 0.11874428 0.21522401 0.12369196 0.09895357 0.15090419 0.21522401
[181] 0.07668901 0.12863964 0.18553794 0.10884892 0.18801178 0.08411053
[187] 0.10142741 0.16079954 0.17564258 0.11132276 0.03463375 0.18553794
[193] 0.17069490 0.23996240 0.09400589 0.23748856 0.24985775 0.23996240
[199] 0.22017168 0.09400589 0.07041899 0.21293362 0.20455041 0.07377228
[205] 0.23472998 0.15425113 0.12910149 0.14586791 0.12071827 0.17772413
[211] 0.10730513 0.17101755 0.05365257 0.10227520 0.13077813 0.14083799
[217] 0.12239492 0.15425113 0.10059856 0.09389199 0.20958034 0.20119712
[223] 0.24311319 0.08718542 0.24981976 0.08047885 0.19784384 0.17604748
[229] 0.18778398 0.15928106 0.12407156 0.11736499 0.07209564 0.17269420
[235] 0.17772413 0.13245477 0.07880221 0.07712556 0.21964019 0.15257448
[241] 0.21628691 0.19616719 0.17437084 0.15760441 0.07041899 0.13077813
[247] 0.14083799 0.12407156 0.08215549 0.15425113 0.11065842 0.08047885
[253] 0.16095770 0.11233506 0.13245477 0.19784384 0.11736499 0.12239492
[259] 0.11568835 0.14922120 0.16598763 0.13580806 0.15089784 0.15928106
[265] 0.12574820 0.09221535 0.17269420 0.21628691 0.09053871 0.17101755
[271] 0.20119712 0.11065842 0.25317305 0.15425113 0.15592777 0.16095770
[277] 0.14586791 0.13245477 0.12239492 0.18946062 0.17604748 0.22634676
[283] 0.23640662 0.16431098 0.19281391 0.19113727 0.16766427 0.14586791
[289] 0.08718542 0.14419127 0.12239492 0.15928106 0.08886206 0.20622705
[295] 0.18443070 0.23137669 0.23808326 0.08550878 0.17101755 0.12574820
[301] 0.77411910 1.00000000 0.80720111 0.64179104 0.72118788 1.00000000
[307] 1.00000000 1.00000000 0.96599477 0.95276196 1.00000000 0.54916141
[313] 0.90644715 1.00000000 0.87998154 0.83366672 0.87998154 1.00000000
[319] 0.92629635 1.00000000 0.92629635 0.96599477 0.87998154 1.00000000
[325] 0.93952916 1.00000000 0.77411910 1.00000000 0.80058471 1.00000000
[331] 0.97261117 1.00000000 1.00000000 0.80720111 0.88659794 0.98584398
[337] 0.73442068 1.00000000 0.54916141 1.00000000 0.78735190 0.98584398
[343] 1.00000000 0.69472226 0.95937837 1.00000000 1.00000000 1.00000000
[349] 0.86674873 0.87336513 1.00000000 0.83366672 0.78073550 0.60870903
[355] 1.00000000 0.56901062 0.72780428 0.66164025 0.99246038 0.87998154
[361] 1.00000000 0.68810586 0.76750269 0.51607940 1.00000000 0.95937837
[367] 0.58885982 1.00000000 1.00000000 1.00000000
```

TeachingSampling documentation built on April 22, 2020, 1:05 a.m.