[R] Sas by function in R

David L Carlson dcarlson at tamu.edu
Thu Jan 3 17:02:23 CET 2013


You could try the command ?by to get information about the by() function in
R. To get many plots, it will be easier to get help, if you include sample
data (as you did) and provide that data in a way that makes it easy to bring
the data into R using dput():

> dput(example)
structure(list(plot = c(1L, 1L, 1L, 1L, 2L, 2L, 3L, 3L, 3L, 3L, 
3L, 3L, 4L, 4L, 4L, 5L, 7L, 8L, 8L, 10L, 10L, 10L, 10L, 10L, 
11L, 11L, 12L, 12L, 13L, 13L, 13L, 13L, 14L, 14L, 14L, 15L, 16L, 
16L, 17L, 17L, 17L, 17L, 18L, 18L, 18L, 19L, 19L, 19L, 21L, 22L, 
22L, 23L, 24L, 24L, 24L, 25L, 26L, 27L, 27L, 27L, 28L, 28L, 29L, 
30L, 30L, 31L, 31L, 31L, 31L, 32L, 32L, 33L, 34L, 35L, 36L, 36L, 
37L, 37L, 37L, 38L, 38L, 39L, 39L, 39L, 39L, 40L, 41L, 41L, 42L, 
43L, 43L, 43L, 44L, 44L, 44L, 45L, 45L, 45L, 45L, 45L, 46L, 46L, 
46L, 47L, 47L, 49L, 49L, 51L, 51L, 52L, 53L, 53L, 56L, 56L, 56L, 
56L, 57L, 57L, 58L, 58L, 58L, 59L, 59L, 59L, 60L, 61L, 61L, 62L, 
62L, 63L, 63L, 63L, 63L, 63L, 63L, 63L, 64L, 64L, 64L, 64L, 64L, 
64L, 65L, 65L, 65L, 65L, 66L, 66L, 66L, 66L, 67L, 67L, 67L, 68L, 
68L, 70L, 70L, 71L, 72L, 72L, 72L, 72L, 73L, 74L, 74L, 75L, 75L, 
75L, 75L, 76L, 76L, 76L, 77L, 78L, 78L, 78L, 78L, 78L, 78L, 79L, 
79L, 79L, 79L, 79L, 80L, 80L, 80L, 80L, 80L, 80L, 80L, 81L, 81L, 
81L, 81L, 81L, 82L, 82L, 82L, 82L, 83L, 84L, 85L, 85L, 86L, 86L, 
87L, 87L, 88L, 88L, 89L, 89L, 89L, 90L, 91L, 91L, 91L, 92L, 92L, 
92L, 92L, 92L, 93L, 93L, 93L, 94L, 95L, 95L, 95L, 95L, 95L, 96L, 
96L, 97L, 97L, 97L, 97L, 98L, 99L, 100L, 101L, 102L, 102L, 102L, 
102L, 102L, 104L, 104L, 104L, 104L, 105L, 106L, 106L, 107L, 107L, 
107L, 107L, 107L, 107L, 108L, 108L, 109L, 109L, 109L, 109L, 109L, 
109L, 110L, 110L, 111L, 112L, 112L, 113L, 113L, 113L, 113L, 113L, 
114L, 114L, 114L, 114L, 114L, 114L, 115L, 115L, 116L, 116L, 117L, 
117L, 117L, 117L, 117L, 119L, 119L, 119L, 119L, 120L, 120L, 120L, 
120L, 120L, 120L, 121L, 122L, 122L, 122L, 122L, 123L, 123L, 123L, 
123L, 124L, 124L, 124L, 124L, 125L, 125L, 125L, 125L, 125L, 125L, 
125L, 126L, 126L, 126L, 126L, 127L, 127L, 127L, 127L, 128L, 128L, 
129L, 129L, 129L, 129L, 129L, 130L, 130L, 130L, 132L, 133L, 133L, 
133L, 133L, 134L, 134L, 134L, 134L, 135L, 135L, 135L, 136L, 136L, 
137L, 137L, 138L, 139L, 139L, 139L, 139L, 139L, 140L, 141L, 141L, 
141L, 142L, 142L, 142L, 143L, 143L, 143L, 143L, 144L, 144L, 144L, 
145L, 145L, 145L, 145L, 145L, 145L, 145L, 145L, 146L, 146L, 146L, 
146L, 146L, 147L, 148L, 148L, 148L, 148L, 149L, 149L, 149L, 149L, 
150L, 150L, 150L, 150L, 151L, 151L, 151L, 151L, 152L, 152L, 152L, 
153L, 153L, 153L, 154L, 154L, 154L, 154L, 155L, 155L, 155L, 156L, 
156L, 157L, 157L, 157L, 158L, 158L, 158L, 158L, 158L, 158L, 159L, 
159L, 159L, 159L, 160L, 160L), d = c(16.3, 25, 57.8, 17, 10.8, 
96.4, 76, 32, 11, 11, 106, 12.5, 19.3, 12, 15, 99.3, 11, 18.5, 
77, 9.8, 101.5, 18, 6, 12.3, 80.8, 14, 12.5, 10.8, 14.5, 13.3, 
12.5, 124.1, 92.3, 20.3, 9.5, 9, 104.1, 15, 62.8, 16.3, 95.2, 
17.8, 14, 107.3, 22.5, 22.8, 16.5, 15.3, 47.8, 110.1, 14.3, 73.3, 
14.5, 93.9, 68.5, 96.4, 44.5, 18, 7, 14, 13.8, 80, 43.5, 69.8, 
12.8, 102.2, 15.8, 63, 63.5, 31.3, 6.3, 82.1, 112.7, 80, 5, 80, 
11.5, 95.5, 31.3, 7, 54, 6.5, 20.5, 63, 60, 9, 44, 64, 70, 37, 
57.3, 21.3, 10.5, 43.5, 33.8, 21.8, 19.3, 13.5, 77, 24, 16.3, 
31.5, 8.3, 70.3, 17, 16.5, 7.8, 62.8, 64.8, 94.9, 94.5, 36.8, 
19.5, 12.8, 62.5, 40, 17, 70.5, 10.5, 48, 59.8, 10.3, 16.8, 19.8, 
108.5, 106, 22.8, 15.3, 17.3, 57.5, 15.8, 104.9, 7.8, 5, 5, 4.8, 
6.3, 5, 9.5, 21.3, 5, 54, 17.5, 68, 6.8, 13.8, 80.5, 15.5, 28.8, 
12.5, 27, 21.8, 25.3, 85.3, 18, 10.8, 14.8, 13, 90.1, 33.8, 7.8, 
14.3, 72, 66, 24.8, 14.8, 93.3, 12.5, 15, 22, 90.4, 53, 21.3, 
11.5, 60.3, 65.5, 69, 30.8, 70, 16.5, 15.8, 13.5, 22, 51.5, 55, 
26.3, 55.3, 24.8, 55, 35, 13.3, 11.8, 16.5, 13.8, 15, 59.5, 26.5, 
11, 7.8, 6.5, 5.3, 18.8, 29, 56.3, 71.3, 24, 12, 32.5, 96.1, 
51.5, 55.8, 29.3, 16.8, 42.8, 85.9, 16.8, 15.8, 9, 12.3, 11.5, 
11.8, 85.8, 13.5, 38.8, 9, 54.8, 8.8, 43.5, 12.3, 13, 80.5, 13.5, 
75, 68.8, 22.8, 39.5, 43.3, 15.8, 14.8, 59.5, 91.4, 80.9, 79.6, 
84.7, 15, 14.3, 16.8, 16.3, 13.3, 52, 14, 85.3, 14, 78.8, 10.8, 
15.5, 67, 22.8, 15, 91.4, 19.3, 12.5, 16, 10.3, 57.8, 59, 12, 
16.5, 58.5, 25.3, 53.3, 66, 9, 9.8, 9.3, 13.8, 13.5, 11, 50.8, 
8, 6.8, 58.8, 54.3, 68, 80, 80, 20.3, 17.3, 17, 7.8, 4, 40.8, 
21.5, 5.5, 14.5, 6, 33, 7, 11.3, 13, 7, 7, 61.8, 15.3, 18.5, 
88.5, 21.8, 16.3, 16.5, 22, 14.5, 54.8, 15.3, 74.5, 51.5, 13.8, 
14.8, 14, 49.5, 74.5, 13.3, 16, 56, 25.5, 14.8, 45.3, 21.3, 15.8, 
17.8, 15.5, 43.3, 17, 31.5, 7, 91.7, 22.3, 5.8, 6.3, 7.5, 13.8, 
95.2, 11.5, 11.3, 89.2, 78, 76.8, 17, 38.8, 48, 16.5, 126.7, 
62.3, 83.7, 49.5, 31.3, 45, 101.2, 14.5, 26.5, 65.5, 12.3, 19.5, 
90.4, 20.3, 7.3, 44.5, 21.3, 5.5, 4.8, 21.8, 14.5, 73.5, 51.3, 
25.5, 4.5, 24.3, 5, 5, 20.5, 7.3, 5.3, 30, 5, 17, 15, 12.5, 74.5, 
11, 66.5, 81.8, 14.5, 18.5, 17.5, 12.8, 13.3, 11.8, 15.3, 89.4, 
22.3, 12.3, 80.2, 20.5, 12, 18.3, 17.3, 32.5, 69.3, 13.8, 20.3, 
63, 37.8, 15, 49.5, 8.3, 13.5, 20.8, 14.8, 18.5, 35, 7, 9.8, 
63.8, 21.5, 34, 13.5, 51.3, 30.8, 4.8, 4, 9.3, 33.5, 51.3, 83.8, 
25, 13.8, 54.3)), .Names = c("plot", "d"), class = "data.frame", row.names =
c("1", 
"2", "3", "4", "5", "13", "17", "18", "19", "20", "24", "25", 
"21", "22", "26", "27", "32", "36", "38", "41", "42", "43", "44", 
"47", "49", "50", "51", "53", "57", "60", "61", "62", "68", "69", 
"70", "71", "75", "82", "83", "84", "86", "87", "89", "90", "91", 
"94", "95", "96", "98", "101", "103", "107", "108", "109", "115", 
"114", "124", "122", "125", "126", "127", "128", "138", "139", 
"143", "144", "146", "147", "148", "149", "150", "153", "289", 
"165", "170", "171", "172", "173", "176", "180", "181", "182", 
"183", "187", "188", "190", "198", "199", "204", "205", "207", 
"213", "209", "217", "218", "219", "225", "226", "227", "228", 
"231", "236", "237", "238", "242", "249", "250", "256", "257", 
"258", "264", "266", "273", "274", "277", "278", "279", "282", 
"283", "284", "285", "286", "288", "293", "297", "299", "301", 
"300", "302", "306", "309", "310", "311", "312", "313", "316", 
"314", "315", "317", "318", "323", "326", "324", "325", "333", 
"334", "335", "336", "343", "344", "350", "351", "352", "355", 
"359", "363", "364", "370", "374", "377", "378", "379", "381", 
"392", "393", "390", "391", "396", "397", "398", "399", "400", 
"404", "405", "406", "407", "408", "409", "410", "422", "423", 
"424", "425", "426", "427", "428", "429", "430", "431", "435", 
"436", "6", "7", "8", "9", "10", "11", "12", "14", "15", "16", 
"23", "28", "29", "30", "31", "33", "34", "35", "37", "39", "40", 
"46", "45", "48", "52", "59", "54", "55", "56", "58", "63", "64", 
"65", "66", "67", "72", "73", "74", "76", "77", "78", "79", "80", 
"81", "85", "88", "92", "93", "97", "99", "100", "102", "104", 
"105", "106", "110", "111", "112", "113", "116", "117", "118", 
"119", "120", "121", "123", "130", "131", "129", "132", "133", 
"134", "135", "136", "137", "140", "141", "142", "145", "151", 
"152", "154", "155", "156", "157", "158", "159", "160", "161", 
"162", "163", "164", "166", "167", "168", "169", "174", "175", 
"177", "178", "179", "184", "185", "186", "191", "189", "192", 
"193", "194", "195", "196", "197", "200", "201", "202", "203", 
"206", "208", "210", "211", "212", "214", "215", "216", "220", 
"221", "222", "223", "224", "229", "230", "232", "233", "234", 
"235", "239", "240", "241", "243", "244", "245", "246", "247", 
"248", "251", "252", "253", "254", "255", "259", "260", "261", 
"262", "263", "265", "267", "268", "269", "270", "271", "272", 
"275", "276", "280", "281", "287", "290", "291", "292", "294", 
"296", "295", "298", "303", "305", "304", "307", "308", "319", 
"320", "321", "322", "327", "328", "329", "330", "331", "332", 
"337", "338", "339", "340", "341", "342", "345", "346", "347", 
"348", "349", "353", "354", "356", "357", "358", "360", "361", 
"362", "365", "366", "367", "368", "369", "371", "372", "373", 
"375", "376", "380", "382", "383", "384", "385", "386", "387", 
"388", "389", "394", "395", "401", "402", "403", "411", "412", 
"413", "414", "415", "416", "417", "419", "418", "420", "421", 
"432", "433", "434"))

It is easy to get the histograms you want using by():

> pdf("example.pdf")
> by(example$d, example$plot, hist)
> dev.off()

This produces a pdf file called example.pdf with 149 pages (one for each
histogram). The file is located in your default directory.

----------------------------------------------
David L Carlson
Associate Professor of Anthropology
Texas A&M University
College Station, TX 77843-4352


> -----Original Message-----
> From: r-help-bounces at r-project.org [mailto:r-help-bounces at r-
> project.org] On Behalf Of catalin roibu
> Sent: Thursday, January 03, 2013 1:50 AM
> To: r-help at r-project.org
> Subject: [R] Sas by function in R
> 
> Hello,
> It's an alternative to use SAS by function in R?
> I want to plot d histograms by plot.from example bellow:
> Thank you!
>    plot     d
> 1      1  16.3
> 2      1  25.0
> 3      1  57.8
> 4      1  17.0
> 5      2  10.8
> 13     2  96.4
> 17     3  76.0
> 18     3  32.0
> 19     3  11.0
> 20     3  11.0
> 24     3 106.0
> 25     3  12.5
> 21     4  19.3
> 22     4  12.0
> 26     4  15.0
> 27     5  99.3
> 32     7  11.0
> 36     8  18.5
> 38     8  77.0
> 41    10   9.8
> 42    10 101.5
> 43    10  18.0
> 44    10   6.0
> 47    10  12.3
> 49    11  80.8
> 50    11  14.0
> 51    12  12.5
> 53    12  10.8
> 57    13  14.5
> 60    13  13.3
> 61    13  12.5
> 62    13 124.1
> 68    14  92.3
> 69    14  20.3
> 70    14   9.5
> 71    15   9.0
> 75    16 104.1
> 82    16  15.0
> 83    17  62.8
> 84    17  16.3
> 86    17  95.2
> 87    17  17.8
> 89    18  14.0
> 90    18 107.3
> 91    18  22.5
> 94    19  22.8
> 95    19  16.5
> 96    19  15.3
> 98    21  47.8
> 101   22 110.1
> 103   22  14.3
> 107   23  73.3
> 108   24  14.5
> 109   24  93.9
> 115   24  68.5
> 114   25  96.4
> 124   26  44.5
> 122   27  18.0
> 125   27   7.0
> 126   27  14.0
> 127   28  13.8
> 128   28  80.0
> 138   29  43.5
> 139   30  69.8
> 143   30  12.8
> 144   31 102.2
> 146   31  15.8
> 147   31  63.0
> 148   31  63.5
> 149   32  31.3
> 150   32   6.3
> 153   33  82.1
> 289   34 112.7
> 165   35  80.0
> 170   36   5.0
> 171   36  80.0
> 172   37  11.5
> 173   37  95.5
> 176   37  31.3
> 180   38   7.0
> 181   38  54.0
> 182   39   6.5
> 183   39  20.5
> 187   39  63.0
> 188   39  60.0
> 190   40   9.0
> 198   41  44.0
> 199   41  64.0
> 204   42  70.0
> 205   43  37.0
> 207   43  57.3
> 213   43  21.3
> 209   44  10.5
> 217   44  43.5
> 218   44  33.8
> 219   45  21.8
> 225   45  19.3
> 226   45  13.5
> 227   45  77.0
> 228   45  24.0
> 231   46  16.3
> 236   46  31.5
> 237   46   8.3
> 238   47  70.3
> 242   47  17.0
> 249   49  16.5
> 250   49   7.8
> 256   51  62.8
> 257   51  64.8
> 258   52  94.9
> 264   53  94.5
> 266   53  36.8
> 273   56  19.5
> 274   56  12.8
> 277   56  62.5
> 278   56  40.0
> 279   57  17.0
> 282   57  70.5
> 283   58  10.5
> 284   58  48.0
> 285   58  59.8
> 286   59  10.3
> 288   59  16.8
> 293   59  19.8
> 297   60 108.5
> 299   61 106.0
> 301   61  22.8
> 300   62  15.3
> 302   62  17.3
> 306   63  57.5
> 309   63  15.8
> 310   63 104.9
> 311   63   7.8
> 312   63   5.0
> 313   63   5.0
> 316   63   4.8
> 314   64   6.3
> 315   64   5.0
> 317   64   9.5
> 318   64  21.3
> 323   64   5.0
> 326   64  54.0
> 324   65  17.5
> 325   65  68.0
> 333   65   6.8
> 334   65  13.8
> 335   66  80.5
> 336   66  15.5
> 343   66  28.8
> 344   66  12.5
> 350   67  27.0
> 351   67  21.8
> 352   67  25.3
> 355   68  85.3
> 359   68  18.0
> 363   70  10.8
> 364   70  14.8
> 370   71  13.0
> 374   72  90.1
> 377   72  33.8
> 378   72   7.8
> 379   72  14.3
> 381   73  72.0
> 392   74  66.0
> 393   74  24.8
> 390   75  14.8
> 391   75  93.3
> 396   75  12.5
> 397   75  15.0
> 398   76  22.0
> 399   76  90.4
> 400   76  53.0
> 404   77  21.3
> 405   78  11.5
> 406   78  60.3
> 407   78  65.5
> 408   78  69.0
> 409   78  30.8
> 410   78  70.0
> 422   79  16.5
> 423   79  15.8
> 424   79  13.5
> 425   79  22.0
> 426   79  51.5
> 427   80  55.0
> 428   80  26.3
> 429   80  55.3
> 430   80  24.8
> 431   80  55.0
> 435   80  35.0
> 436   80  13.3
> 6     81  11.8
> 7     81  16.5
> 8     81  13.8
> 9     81  15.0
> 10    81  59.5
> 11    82  26.5
> 12    82  11.0
> 14    82   7.8
> 15    82   6.5
> 16    83   5.3
> 23    84  18.8
> 28    85  29.0
> 29    85  56.3
> 30    86  71.3
> 31    86  24.0
> 33    87  12.0
> 34    87  32.5
> 35    88  96.1
> 37    88  51.5
> 39    89  55.8
> 40    89  29.3
> 46    89  16.8
> 45    90  42.8
> 48    91  85.9
> 52    91  16.8
> 59    91  15.8
> 54    92   9.0
> 55    92  12.3
> 56    92  11.5
> 58    92  11.8
> 63    92  85.8
> 64    93  13.5
> 65    93  38.8
> 66    93   9.0
> 67    94  54.8
> 72    95   8.8
> 73    95  43.5
> 74    95  12.3
> 76    95  13.0
> 77    95  80.5
> 78    96  13.5
> 79    96  75.0
> 80    97  68.8
> 81    97  22.8
> 85    97  39.5
> 88    97  43.3
> 92    98  15.8
> 93    99  14.8
> 97   100  59.5
> 99   101  91.4
> 100  102  80.9
> 102  102  79.6
> 104  102  84.7
> 105  102  15.0
> 106  102  14.3
> 110  104  16.8
> 111  104  16.3
> 112  104  13.3
> 113  104  52.0
> 116  105  14.0
> 117  106  85.3
> 118  106  14.0
> 119  107  78.8
> 120  107  10.8
> 121  107  15.5
> 123  107  67.0
> 130  107  22.8
> 131  107  15.0
> 129  108  91.4
> 132  108  19.3
> 133  109  12.5
> 134  109  16.0
> 135  109  10.3
> 136  109  57.8
> 137  109  59.0
> 140  109  12.0
> 141  110  16.5
> 142  110  58.5
> 145  111  25.3
> 151  112  53.3
> 152  112  66.0
> 154  113   9.0
> 155  113   9.8
> 156  113   9.3
> 157  113  13.8
> 158  113  13.5
> 159  114  11.0
> 160  114  50.8
> 161  114   8.0
> 162  114   6.8
> 163  114  58.8
> 164  114  54.3
> 166  115  68.0
> 167  115  80.0
> 168  116  80.0
> 169  116  20.3
> 174  117  17.3
> 175  117  17.0
> 177  117   7.8
> 178  117   4.0
> 179  117  40.8
> 184  119  21.5
> 185  119   5.5
> 186  119  14.5
> 191  119   6.0
> 189  120  33.0
> 192  120   7.0
> 193  120  11.3
> 194  120  13.0
> 195  120   7.0
> 196  120   7.0
> 197  121  61.8
> 200  122  15.3
> 201  122  18.5
> 202  122  88.5
> 203  122  21.8
> 206  123  16.3
> 208  123  16.5
> 210  123  22.0
> 211  123  14.5
> 212  124  54.8
> 214  124  15.3
> 215  124  74.5
> 216  124  51.5
> 220  125  13.8
> 221  125  14.8
> 222  125  14.0
> 223  125  49.5
> 224  125  74.5
> 229  125  13.3
> 230  125  16.0
> 232  126  56.0
> 233  126  25.5
> 234  126  14.8
> 235  126  45.3
> 239  127  21.3
> 240  127  15.8
> 241  127  17.8
> 243  127  15.5
> 244  128  43.3
> 245  128  17.0
> 246  129  31.5
> 247  129   7.0
> 248  129  91.7
> 251  129  22.3
> 252  129   5.8
> 253  130   6.3
> 254  130   7.5
> 255  130  13.8
> 259  132  95.2
> 260  133  11.5
> 261  133  11.3
> 262  133  89.2
> 263  133  78.0
> 265  134  76.8
> 267  134  17.0
> 268  134  38.8
> 269  134  48.0
> 270  135  16.5
> 271  135 126.7
> 272  135  62.3
> 275  136  83.7
> 276  136  49.5
> 280  137  31.3
> 281  137  45.0
> 287  138 101.2
> 290  139  14.5
> 291  139  26.5
> 292  139  65.5
> 294  139  12.3
> 296  139  19.5
> 295  140  90.4
> 298  141  20.3
> 303  141   7.3
> 305  141  44.5
> 304  142  21.3
> 307  142   5.5
> 308  142   4.8
> 319  143  21.8
> 320  143  14.5
> 321  143  73.5
> 322  143  51.3
> 327  144  25.5
> 328  144   4.5
> 329  144  24.3
> 330  145   5.0
> 331  145   5.0
> 332  145  20.5
> 337  145   7.3
> 338  145   5.3
> 339  145  30.0
> 340  145   5.0
> 341  145  17.0
> 342  146  15.0
> 345  146  12.5
> 346  146  74.5
> 347  146  11.0
> 348  146  66.5
> 349  147  81.8
> 353  148  14.5
> 354  148  18.5
> 356  148  17.5
> 357  148  12.8
> 358  149  13.3
> 360  149  11.8
> 361  149  15.3
> 362  149  89.4
> 365  150  22.3
> 366  150  12.3
> 367  150  80.2
> 368  150  20.5
> 369  151  12.0
> 371  151  18.3
> 372  151  17.3
> 373  151  32.5
> 375  152  69.3
> 376  152  13.8
> 380  152  20.3
> 382  153  63.0
> 383  153  37.8
> 384  153  15.0
> 385  154  49.5
> 386  154   8.3
> 387  154  13.5
> 388  154  20.8
> 389  155  14.8
> 394  155  18.5
> 395  155  35.0
> 401  156   7.0
> 402  156   9.8
> 403  157  63.8
> 411  157  21.5
> 412  157  34.0
> 413  158  13.5
> 414  158  51.3
> 415  158  30.8
> 416  158   4.8
> 417  158   4.0
> 419  158   9.3
> 418  159  33.5
> 420  159  51.3
> 421  159  83.8
> 432  159  25.0
> 433  160  13.8
> 434  160  54.3
> 
> --
> ---
> Catalin-Constantin ROIBU
> Forestry engineer, PhD
> Forestry Faculty of Suceava
> Str. Universitatii no. 13, Suceava, 720229, Romania
> office phone     +4 0230 52 29 78, ext. 531
> mobile phone   +4 0745 53 18 01
>                        +4 0766 71 76 58
> FAX:                +4 0230 52 16 64
> silvic.usv.ro
> 
> 	[[alternative HTML version deleted]]
> 
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> PLEASE do read the posting guide http://www.R-project.org/posting-
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> and provide commented, minimal, self-contained, reproducible code.




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