I am doing multiple-spell, discrete-time analysis to examine factors shaping time to exiting a renter spell, with time-varying covariates at monthly interval. My data has left-truncated spells, meaning some people have already started their renter spell before the start of two-year observation period.
I have followed Stephen Jenkins' advice (http://citeseerx.ist.psu.edu/viewdoc...=rep1&type=pdf) on setting up left-truncated data for discrete time analysis, which makes observations in the left-truncated spell start to contribute to person-observation from the time when they enter the study.
My problem starts from here. I have now left with observations with elapsed months since risk onset much longer (25 percentile = 9 months, 50 percentile = 30 months, 75 percentile = 80 months, 99 percentile = 657 months) than two-year study period.
I am not very comfortable modeling time that goes way over study time period, but at the same time, I would like to keep left-truncated spells in my analysis. I would like to have your thoughts or direction on how to model time when left-truncated data makes elapsed time since risk onset far stretched beyond the length of observation period.
Here's event occurrence for each month since risk onset:
I have followed Stephen Jenkins' advice (http://citeseerx.ist.psu.edu/viewdoc...=rep1&type=pdf) on setting up left-truncated data for discrete time analysis, which makes observations in the left-truncated spell start to contribute to person-observation from the time when they enter the study.
My problem starts from here. I have now left with observations with elapsed months since risk onset much longer (25 percentile = 9 months, 50 percentile = 30 months, 75 percentile = 80 months, 99 percentile = 657 months) than two-year study period.
I am not very comfortable modeling time that goes way over study time period, but at the same time, I would like to keep left-truncated spells in my analysis. I would like to have your thoughts or direction on how to model time when left-truncated data makes elapsed time since risk onset far stretched beyond the length of observation period.
Here's event occurrence for each month since risk onset:
Code:
tab timesince monthlymove | monthlymove timesince | 0 1 | Total -----------+----------------------+---------- 1 | 3,915 35 | 3,950 2 | 3,864 39 | 3,903 3 | 3,745 64 | 3,809 4 | 3,525 31 | 3,556 5 | 3,236 41 | 3,277 6 | 3,247 48 | 3,295 7 | 3,040 68 | 3,108 8 | 2,996 74 | 3,070 9 | 2,867 44 | 2,911 10 | 2,673 74 | 2,747 11 | 2,556 45 | 2,601 12 | 2,435 59 | 2,494 13 | 1,952 87 | 2,039 14 | 1,806 43 | 1,849 15 | 1,682 48 | 1,730 16 | 1,573 45 | 1,618 17 | 1,441 28 | 1,469 18 | 1,401 33 | 1,434 19 | 1,343 26 | 1,369 20 | 1,333 10 | 1,343 21 | 1,299 19 | 1,318 22 | 1,270 21 | 1,291 23 | 1,246 16 | 1,262 24 | 1,225 19 | 1,244 25 | 1,074 29 | 1,103 26 | 987 25 | 1,012 27 | 933 12 | 945 28 | 905 9 | 914 29 | 884 10 | 894 30 | 837 6 | 843 31 | 817 8 | 825 32 | 828 6 | 834 33 | 800 12 | 812 34 | 785 5 | 790 35 | 776 10 | 786 36 | 760 7 | 767 37 | 736 17 | 753 38 | 729 4 | 733 39 | 712 8 | 720 40 | 695 9 | 704 41 | 676 8 | 684 42 | 639 5 | 644 43 | 616 6 | 622 44 | 608 3 | 611 45 | 600 4 | 604 46 | 566 6 | 572 47 | 566 5 | 571 48 | 539 3 | 542 49 | 526 10 | 536 50 | 514 2 | 516 51 | 516 5 | 521 52 | 500 10 | 510 53 | 488 7 | 495 54 | 487 10 | 497 55 | 488 1 | 489 56 | 489 7 | 496 57 | 493 2 | 495 58 | 469 13 | 482 59 | 452 7 | 459 60 | 438 11 | 449 61 | 416 2 | 418 62 | 397 5 | 402 63 | 387 6 | 393 64 | 381 5 | 386 65 | 358 8 | 366 66 | 361 2 | 363 67 | 351 10 | 361 68 | 336 3 | 339 69 | 324 6 | 330 70 | 326 1 | 327 71 | 315 2 | 317 72 | 309 6 | 315 73 | 301 5 | 306 74 | 294 2 | 296 75 | 285 1 | 286 76 | 277 5 | 282 77 | 283 3 | 286 78 | 273 1 | 274 79 | 273 2 | 275 80 | 265 5 | 270 81 | 252 1 | 253 82 | 247 2 | 249 83 | 242 1 | 243 84 | 245 0 | 245 85 | 243 1 | 244 86 | 239 2 | 241 87 | 237 0 | 237 88 | 227 3 | 230 89 | 225 2 | 227 90 | 217 5 | 222 91 | 207 3 | 210 92 | 205 1 | 206 93 | 206 0 | 206 94 | 200 0 | 200 95 | 193 0 | 193 96 | 183 2 | 185 97 | 181 5 | 186 98 | 185 0 | 185 99 | 183 0 | 183 100 | 180 2 | 182 101 | 175 1 | 176 102 | 167 2 | 169 103 | 160 2 | 162 104 | 181 1 | 182 105 | 185 2 | 187 106 | 184 2 | 186 107 | 182 0 | 182 108 | 177 4 | 181 109 | 169 2 | 171 110 | 165 1 | 166 111 | 159 2 | 161 112 | 148 2 | 150 113 | 146 1 | 147 114 | 148 2 | 150 115 | 144 2 | 146 116 | 143 1 | 144 117 | 144 2 | 146 118 | 149 1 | 150 119 | 152 1 | 153 120 | 153 2 | 155 121 | 155 1 | 156 122 | 152 1 | 153 123 | 150 1 | 151 124 | 148 1 | 149 125 | 144 0 | 144 126 | 137 1 | 138 127 | 135 1 | 136 128 | 130 0 | 130 129 | 128 0 | 128 130 | 124 1 | 125 131 | 116 0 | 116 132 | 111 0 | 111 133 | 114 1 | 115 134 | 106 1 | 107 135 | 107 2 | 109 136 | 103 0 | 103 137 | 103 1 | 104 138 | 103 1 | 104 139 | 103 1 | 104 140 | 102 1 | 103 141 | 91 1 | 92 142 | 94 1 | 95 143 | 97 0 | 97 144 | 96 0 | 96 145 | 91 0 | 91 146 | 98 1 | 99 147 | 99 0 | 99 148 | 104 1 | 105 149 | 107 0 | 107 150 | 106 1 | 107 151 | 110 0 | 110 152 | 126 0 | 126 153 | 126 2 | 128 154 | 126 2 | 128 155 | 127 2 | 129 156 | 127 1 | 128 157 | 131 0 | 131 158 | 130 1 | 131 159 | 129 1 | 130 160 | 123 0 | 123 161 | 120 2 | 122 162 | 122 1 | 123 163 | 116 0 | 116 164 | 123 0 | 123 165 | 126 0 | 126 166 | 116 1 | 117 167 | 116 2 | 118 168 | 115 0 | 115 169 | 110 4 | 114 170 | 102 1 | 103 171 | 106 0 | 106 172 | 103 1 | 104 173 | 97 0 | 97 174 | 89 1 | 90 175 | 83 0 | 83 176 | 70 2 | 72 177 | 69 0 | 69 178 | 67 1 | 68 179 | 64 0 | 64 180 | 64 0 | 64 181 | 64 0 | 64 182 | 62 0 | 62 183 | 57 0 | 57 184 | 56 0 | 56 185 | 52 1 | 53 186 | 53 0 | 53 187 | 54 0 | 54 188 | 46 1 | 47 189 | 45 0 | 45 190 | 47 1 | 48 191 | 44 0 | 44 192 | 47 0 | 47 193 | 46 0 | 46 194 | 45 0 | 45 195 | 44 0 | 44 196 | 41 0 | 41 197 | 43 0 | 43 198 | 48 0 | 48 199 | 47 0 | 47 200 | 53 1 | 54 201 | 53 1 | 54 202 | 52 2 | 54 203 | 53 0 | 53 204 | 52 1 | 53 205 | 52 1 | 53 206 | 53 2 | 55 207 | 55 0 | 55 208 | 50 4 | 54 209 | 49 0 | 49 210 | 50 0 | 50 211 | 46 1 | 47 212 | 60 1 | 61 213 | 58 1 | 59 214 | 55 0 | 55 215 | 56 0 | 56 216 | 54 0 | 54 217 | 55 1 | 56 218 | 51 1 | 52 219 | 48 2 | 50 220 | 50 1 | 51 221 | 52 0 | 52 222 | 50 1 | 51 223 | 54 0 | 54 224 | 59 0 | 59 225 | 58 0 | 58 226 | 60 1 | 61 227 | 64 1 | 65 228 | 65 0 | 65 229 | 70 0 | 70 230 | 68 0 | 68 231 | 69 0 | 69 232 | 68 1 | 69 233 | 67 1 | 68 234 | 62 2 | 64 235 | 63 0 | 63 236 | 55 0 | 55 237 | 52 0 | 52 238 | 54 0 | 54 239 | 50 0 | 50 240 | 48 0 | 48 241 | 53 0 | 53 242 | 53 1 | 54 243 | 51 2 | 53 244 | 49 0 | 49 245 | 45 3 | 48 246 | 44 0 | 44 247 | 40 0 | 40 248 | 46 0 | 46 249 | 46 0 | 46 250 | 45 1 | 46 251 | 41 1 | 42 252 | 41 0 | 41 253 | 37 0 | 37 254 | 37 0 | 37 255 | 35 1 | 36 256 | 34 1 | 35 257 | 31 2 | 33 258 | 34 0 | 34 259 | 34 0 | 34 260 | 32 0 | 32 261 | 32 0 | 32 262 | 28 0 | 28 263 | 27 1 | 28 264 | 26 0 | 26 265 | 21 0 | 21 266 | 20 0 | 20 267 | 23 0 | 23 268 | 23 0 | 23 269 | 24 0 | 24 270 | 24 0 | 24 271 | 27 0 | 27 272 | 28 0 | 28 273 | 28 0 | 28 274 | 28 0 | 28 275 | 30 1 | 31 276 | 28 1 | 29 277 | 29 0 | 29 278 | 27 0 | 27 279 | 28 0 | 28 280 | 28 0 | 28 281 | 28 1 | 29 282 | 28 0 | 28 283 | 24 0 | 24 284 | 24 0 | 24 285 | 24 1 | 25 286 | 25 0 | 25 287 | 25 0 | 25 288 | 26 0 | 26 289 | 27 1 | 28 290 | 27 0 | 27 291 | 25 0 | 25 292 | 27 0 | 27 293 | 26 0 | 26 294 | 27 0 | 27 295 | 28 0 | 28 296 | 29 0 | 29 297 | 30 0 | 30 298 | 30 0 | 30 299 | 28 0 | 28 300 | 26 0 | 26 301 | 26 0 | 26 302 | 25 0 | 25 303 | 25 0 | 25 304 | 27 0 | 27 305 | 25 1 | 26 306 | 24 1 | 25 307 | 25 0 | 25 308 | 23 0 | 23 309 | 23 0 | 23 310 | 23 0 | 23 311 | 23 0 | 23 312 | 22 0 | 22 313 | 18 2 | 20 314 | 19 0 | 19 315 | 19 0 | 19 316 | 17 0 | 17 317 | 19 0 | 19 318 | 15 0 | 15 319 | 13 0 | 13 320 | 10 0 | 10 321 | 9 0 | 9 322 | 11 1 | 12 323 | 12 0 | 12 324 | 12 0 | 12 325 | 11 1 | 12 326 | 12 0 | 12 327 | 15 0 | 15 328 | 16 1 | 17 329 | 18 0 | 18 330 | 19 0 | 19 331 | 20 0 | 20 332 | 26 1 | 27 333 | 26 1 | 27 334 | 28 0 | 28 335 | 32 0 | 32 336 | 32 0 | 32 337 | 35 0 | 35 338 | 33 1 | 34 339 | 33 0 | 33 340 | 35 0 | 35 341 | 35 0 | 35 342 | 35 0 | 35 343 | 35 0 | 35 344 | 33 2 | 35 345 | 35 0 | 35 346 | 31 2 | 33 347 | 27 2 | 29 348 | 29 0 | 29 349 | 26 1 | 27 350 | 26 0 | 26 351 | 26 0 | 26 352 | 23 1 | 24 353 | 23 0 | 23 354 | 22 1 | 23 355 | 21 1 | 22 356 | 18 0 | 18 357 | 16 0 | 16 358 | 14 0 | 14 359 | 14 0 | 14 360 | 13 0 | 13 361 | 14 0 | 14 362 | 16 0 | 16 363 | 15 0 | 15 364 | 13 0 | 13 365 | 13 0 | 13 366 | 14 0 | 14 367 | 16 0 | 16 368 | 15 0 | 15 369 | 14 1 | 15 370 | 14 0 | 14 371 | 15 0 | 15 372 | 15 0 | 15 373 | 15 0 | 15 374 | 15 0 | 15 375 | 15 0 | 15 376 | 16 0 | 16 377 | 15 0 | 15 378 | 14 0 | 14 379 | 16 0 | 16 380 | 16 0 | 16 381 | 17 0 | 17 382 | 18 0 | 18 383 | 18 0 | 18 384 | 17 1 | 18 385 | 16 1 | 17 386 | 17 0 | 17 387 | 17 0 | 17 388 | 16 0 | 16 389 | 20 0 | 20 390 | 19 0 | 19 391 | 16 0 | 16 392 | 17 0 | 17 393 | 17 0 | 17 394 | 18 1 | 19 395 | 18 0 | 18 396 | 19 0 | 19 397 | 19 1 | 20 398 | 20 0 | 20 399 | 21 0 | 21 ..................................................... 500 | 8 0 | 8 501 | 8 0 | 8 502 | 8 0 | 8 503 | 8 0 | 8 504 | 8 0 | 8 505 | 8 1 | 9 506 | 8 0 | 8 507 | 10 0 | 10 508 | 9 0 | 9 509 | 9 0 | 9 510 | 9 0 | 9 511 | 11 0 | 11 512 | 15 0 | 15 513 | 17 0 | 17 514 | 16 0 | 16 515 | 16 0 | 16 516 | 15 0 | 15 517 | 15 0 | 15 518 | 15 0 | 15 519 | 14 0 | 14 520 | 14 0 | 14 521 | 14 0 | 14 522 | 15 0 | 15 523 | 14 0 | 14 524 | 12 0 | 12 525 | 12 0 | 12 526 | 14 0 | 14 527 | 14 1 | 15 528 | 14 0 | 14 529 | 15 0 | 15 530 | 16 0 | 16 531 | 15 0 | 15 532 | 13 2 | 15 533 | 13 0 | 13 534 | 12 0 | 12 535 | 11 0 | 11 536 | 10 0 | 10 537 | 10 0 | 10 538 | 10 0 | 10 539 | 12 0 | 12 540 | 12 0 | 12 541 | 12 0 | 12 542 | 13 0 | 13 543 | 13 0 | 13 544 | 12 0 | 12 545 | 13 0 | 13 546 | 14 0 | 14 547 | 14 0 | 14 548 | 14 0 | 14 549 | 14 0 | 14 550 | 12 0 | 12 551 | 11 0 | 11 552 | 10 1 | 11 553 | 9 0 | 9 554 | 9 0 | 9 555 | 9 0 | 9 556 | 10 0 | 10 557 | 9 0 | 9 558 | 9 0 | 9 559 | 9 0 | 9 560 | 9 0 | 9 561 | 8 0 | 8 562 | 8 0 | 8 563 | 8 0 | 8 564 | 8 1 | 9 565 | 8 0 | 8 566 | 7 0 | 7 567 | 6 0 | 6 568 | 7 0 | 7 569 | 8 0 | 8 570 | 6 0 | 6 571 | 7 0 | 7 572 | 7 0 | 7 573 | 8 0 | 8 574 | 8 0 | 8 575 | 8 0 | 8 576 | 8 0 | 8 577 | 9 0 | 9 578 | 9 0 | 9 579 | 9 0 | 9 580 | 8 0 | 8 581 | 8 0 | 8 582 | 9 0 | 9 583 | 10 0 | 10 584 | 11 0 | 11 585 | 9 0 | 9 586 | 9 0 | 9 587 | 10 0 | 10 588 | 10 0 | 10 589 | 9 1 | 10 590 | 9 0 | 9 591 | 10 0 | 10 592 | 10 0 | 10 593 | 7 2 | 9 594 | 6 0 | 6 595 | 5 0 | 5 596 | 5 0 | 5 597 | 5 0 | 5 598 | 5 0 | 5 599 | 4 0 | 4 600 | 3 0 | 3 601 | 3 0 | 3 602 | 3 0 | 3 603 | 3 0 | 3 604 | 3 0 | 3 605 | 4 0 | 4 606 | 3 0 | 3 607 | 3 0 | 3 608 | 2 1 | 3 609 | 1 1 | 2 610 | 2 0 | 2 611 | 2 0 | 2 612 | 2 0 | 2 613 | 2 0 | 2 614 | 2 0 | 2 615 | 2 0 | 2 616 | 2 0 | 2 617 | 2 0 | 2 618 | 2 0 | 2 619 | 2 0 | 2 620 | 1 0 | 1 621 | 1 0 | 1 622 | 2 0 | 2 623 | 2 0 | 2 624 | 2 0 | 2 625 | 2 0 | 2 626 | 2 0 | 2 627 | 2 0 | 2 628 | 2 0 | 2 629 | 2 0 | 2 630 | 3 0 | 3 631 | 5 0 | 5 632 | 6 0 | 6 633 | 7 0 | 7 634 | 6 0 | 6 635 | 6 0 | 6 636 | 6 0 | 6 637 | 6 0 | 6 638 | 6 0 | 6 639 | 6 0 | 6 640 | 6 0 | 6 641 | 5 1 | 6 642 | 5 0 | 5 643 | 5 0 | 5 644 | 6 1 | 7 645 | 6 0 | 6 646 | 5 0 | 5 647 | 4 0 | 4 648 | 4 0 | 4 649 | 4 0 | 4 650 | 5 0 | 5 651 | 5 0 | 5 652 | 6 0 | 6 653 | 6 0 | 6 654 | 6 0 | 6 655 | 5 0 | 5 656 | 3 0 | 3 657 | 4 0 | 4 658 | 5 0 | 5 659 | 5 0 | 5 660 | 5 0 | 5 661 | 5 0 | 5 662 | 8 0 | 8 663 | 9 0 | 9 664 | 13 0 | 13 665 | 14 1 | 15 666 | 16 0 | 16 667 | 19 0 | 19 668 | 31 0 | 31 669 | 36 0 | 36 670 | 37 0 | 37 671 | 39 1 | 40 672 | 44 0 | 44 673 | 47 0 | 47 674 | 45 0 | 45 675 | 45 0 | 45 676 | 44 0 | 44 677 | 43 0 | 43 678 | 42 0 | 42 679 | 42 0 | 42 680 | 40 0 | 40 681 | 37 0 | 37 682 | 36 0 | 36 683 | 36 0 | 36 684 | 36 0 | 36 685 | 35 0 | 35 686 | 33 0 | 33 687 | 32 0 | 32 688 | 28 0 | 28 689 | 27 0 | 27 690 | 23 2 | 25 691 | 20 0 | 20 692 | 11 0 | 11 693 | 9 0 | 9 694 | 8 0 | 8 695 | 5 0 | 5 696 | 2 0 | 2 -----------+----------------------+---------- Total | 110,911 1,608 | 112,519
