![[Maturing]](figures/lifecycle-maturing.svg)
This function computes predictions and optionally the estimated standard errors
of those predictions from a model fitted with maxlogLreg.
Arguments
- object
an object of
maxlogLclass generated bymaxlogLregfunction.- parameter
a character which specifies the parameter to predict.
- newdata
a data frame with covariates with which to predict. It is an optional argument, if omitted, the fitted linear predictors or the (distribution) parameter predictions are used.
- type
a character with the type of prediction required. The default (
type = "link") is on the scale of the linear predictors; the alternativetype = "response"is on the scale of the distribution parameter.- se.fit
logical switch indicating if standard errors of predictions are required.
- terms
A character vector that specifies which terms are required if
type = "terms". All terms are returned by default.- ...
further arguments passed to or from other methods.
Value
If se.fit = FALSE, a vector of predictions is returned.
For type = "terms", a matrix with a column per term and an attribute "constant"
is returned.
If se.fit = TRUE, a list with the following components is obtained:
fit: Predictions.se.fit: Estimated standard errors.
Details
This predict method computes predictions for values of any
distribution parameter in link or original scale.
Note
Variables are first looked for in newdata argument and then searched
in the usual way (which will include the environment of the formula used in
the fit). A warning will be given if the variables found are not of the same
length as those in newdata if it is supplied.
Author
Jaime Mosquera Gutiérrez, jmosquerag@unal.edu.co
Examples
library(EstimationTools)
#--------------------------------------------------------------------------------
# Example 1: Predictions from a model using a simulated normal distribution
n <- 1000
x <- runif(n = n, -5, 6)
y <- rnorm(n = n, mean = -2 + 3 * x, sd = exp(1 + 0.3* x))
norm_data <- data.frame(y = y, x = x)
# It does not matter the order of distribution parameters
formulas <- list(sd.fo = ~ x, mean.fo = ~ x)
norm_mod <- maxlogLreg(formulas, y_dist = y ~ dnorm, data = norm_data,
link = list(over = "sd", fun = "log_link"))
predict(norm_mod)
#> 1 2 3 4 5 6
#> -11.48968499 -1.33257924 -11.16226321 -6.46921850 -8.00218281 12.14768214
#> 7 8 9 10 11 12
#> -4.14980837 -16.03624559 2.96753483 14.51587892 -6.29132279 -8.15865080
#> 13 14 15 16 17 18
#> 3.92280394 -15.93513823 -3.11304930 -16.76832043 -7.61672077 11.39373025
#> 19 20 21 22 23 24
#> -2.52132318 13.43305180 -12.80976882 15.23173556 -10.80243109 12.77266387
#> 25 26 27 28 29 30
#> 6.95727413 8.27172121 11.83429659 1.99648773 15.37250789 6.45260068
#> 31 32 33 34 35 36
#> 2.48508161 13.31710929 -10.45655094 5.29101085 -7.91888278 -3.21299533
#> 37 38 39 40 41 42
#> -5.50254726 -13.19890317 7.13284113 15.37589722 -9.23633031 -13.35771814
#> 43 44 45 46 47 48
#> 13.23528464 2.62546465 -5.21527537 -0.99451892 -11.93861040 13.06696700
#> 49 50 51 52 53 54
#> 2.28079558 12.31148156 -3.34560847 7.66032844 -12.79198373 12.74111285
#> 55 56 57 58 59 60
#> 0.74156802 -0.19987492 1.63961292 5.04586374 -13.78850897 7.22265927
#> 61 62 63 64 65 66
#> 9.58047481 13.08079990 1.49994701 12.49314373 -3.02694637 -9.13535081
#> 67 68 69 70 71 72
#> 11.30070801 -7.42669035 -11.61434514 14.14841460 3.50338019 11.27530671
#> 73 74 75 76 77 78
#> -6.52686447 9.34796013 8.76708628 5.25089928 -13.53727398 -13.46440627
#> 79 80 81 82 83 84
#> 0.17170533 -1.58705218 -14.34143164 14.57789122 -16.64750684 -9.06794401
#> 85 86 87 88 89 90
#> 12.82368067 -2.75351030 -2.82677377 2.80293481 3.52719534 12.98756435
#> 91 92 93 94 95 96
#> -9.56022169 -6.29874952 -6.07818253 5.62626230 8.04299256 5.14070053
#> 97 98 99 100 101 102
#> -15.12103028 9.12288453 0.99145573 11.09418465 -11.16263696 -15.54402591
#> 103 104 105 106 107 108
#> 4.06397415 15.37996279 -10.78776457 -9.57859916 5.82742912 12.82507605
#> 109 110 111 112 113 114
#> -2.17256753 4.18901145 0.54340899 -8.47330585 -5.88490919 12.50074284
#> 115 116 117 118 119 120
#> 4.77037240 -2.11392376 1.73727437 -13.57957673 -10.54647371 12.45400545
#> 121 122 123 124 125 126
#> -6.31487737 -3.23343039 15.93902752 -11.83873101 -3.30010352 4.44823076
#> 127 128 129 130 131 132
#> 7.96641183 -3.26072158 12.73877233 8.72437366 7.80711280 15.01586239
#> 133 134 135 136 137 138
#> -7.78773503 0.57443720 10.33347204 -9.75266951 11.44739854 1.37972983
#> 139 140 141 142 143 144
#> 12.85401608 14.01376869 -13.66477425 -12.99079155 7.47493516 -0.67576258
#> 145 146 147 148 149 150
#> -1.41673374 8.25388655 -6.00753294 6.89241427 -16.80811453 -16.28011252
#> 151 152 153 154 155 156
#> 1.48140250 4.45322252 -3.32915742 14.76012454 8.47575289 -2.97910845
#> 157 158 159 160 161 162
#> -15.61410721 5.92585658 -3.76376620 4.38955691 15.53953960 8.38199208
#> 163 164 165 166 167 168
#> 7.59871158 11.82341357 15.90405941 -11.92227520 2.81897344 -3.48619934
#> 169 170 171 172 173 174
#> 1.73487899 -5.55384817 -3.57837878 9.62868736 7.13559828 3.96098847
#> 175 176 177 178 179 180
#> -13.28183788 -12.67045679 15.98920447 14.37776883 2.20683469 10.17694566
#> 181 182 183 184 185 186
#> 2.47767406 -13.66080151 -8.99650483 7.11612357 8.32803844 -14.08086528
#> 187 188 189 190 191 192
#> -7.43276611 -13.97130864 -11.05456631 11.18652672 5.48513959 -6.39020783
#> 193 194 195 196 197 198
#> 1.63464264 10.77326035 13.44240084 10.23476013 -13.93915792 9.67917758
#> 199 200 201 202 203 204
#> -16.70024046 -9.17218075 -9.77021712 -6.97786211 9.17554532 -10.86896530
#> 205 206 207 208 209 210
#> -1.58564376 14.81436067 -7.83614771 14.83992612 -8.33260436 -3.67279176
#> 211 212 213 214 215 216
#> 15.12123954 9.42855740 -12.69360969 11.76563043 -4.95152855 -1.12321390
#> 217 218 219 220 221 222
#> 5.21080516 -15.63012164 -15.54028778 -5.06168432 -5.29666216 16.15122729
#> 223 224 225 226 227 228
#> 5.11375801 14.69120866 0.41043833 11.98474820 4.31480332 7.38808396
#> 229 230 231 232 233 234
#> -15.00375894 12.81254124 -15.70556344 11.52420151 1.73674807 7.89826808
#> 235 236 237 238 239 240
#> 4.30457808 11.93261900 -15.45987916 13.40434470 1.93757735 14.48851901
#> 241 242 243 244 245 246
#> 6.67963464 7.17536375 9.73762210 16.06125848 -16.23135991 8.42269223
#> 247 248 249 250 251 252
#> 8.19102569 14.27799038 -9.59578956 0.85194678 -11.92996697 -16.83701428
#> 253 254 255 256 257 258
#> -11.76498151 -16.33031676 1.49888813 -12.45892164 -5.41568750 -12.31685071
#> 259 260 261 262 263 264
#> 8.55142325 4.00168968 14.05837082 -10.61377119 6.45135893 -5.96064832
#> 265 266 267 268 269 270
#> -12.17201155 -5.67106153 13.06274271 11.88722732 -6.14541700 9.31781674
#> 271 272 273 274 275 276
#> 5.78365667 -15.80065507 -6.98105552 -8.77149886 11.93686372 -8.51210969
#> 277 278 279 280 281 282
#> 8.47600260 7.23195083 -0.64950637 4.27349230 1.75205775 7.44291422
#> 283 284 285 286 287 288
#> 11.05906482 -14.85962961 -1.32588766 -4.91154618 10.00278629 -12.56545436
#> 289 290 291 292 293 294
#> 2.33570721 -6.12141396 -12.01487545 5.47702638 13.61307933 -15.78825759
#> 295 296 297 298 299 300
#> -9.01671379 13.03334552 8.11524286 -9.74782301 -6.75238468 9.83297448
#> 301 302 303 304 305 306
#> 8.04929524 -10.22534236 -13.19093523 7.81570037 -0.14459217 6.59022252
#> 307 308 309 310 311 312
#> -6.20978039 -5.55059436 -1.09079147 -5.04524856 -14.40913923 9.43551604
#> 313 314 315 316 317 318
#> 2.31925917 -12.52261511 -7.99650587 -7.64908510 -2.76861443 10.70591208
#> 319 320 321 322 323 324
#> -8.78339965 -14.02066519 -2.76045926 13.00995218 -7.79854983 -15.22201397
#> 325 326 327 328 329 330
#> -0.83777336 -6.71291797 4.46393898 -8.86127962 9.91791750 -10.87154860
#> 331 332 333 334 335 336
#> 14.37405441 -10.50203920 8.73010602 0.13750398 10.99018722 -6.05945074
#> 337 338 339 340 341 342
#> 15.74682316 13.99876763 9.51499486 -10.04169129 -11.16331341 -8.58145670
#> 343 344 345 346 347 348
#> -2.04300272 -4.64403261 13.10775744 14.52159815 -15.56096720 -9.47154813
#> 349 350 351 352 353 354
#> -3.31360661 -0.67115566 -15.29493906 -15.04142102 7.14337312 -5.29506779
#> 355 356 357 358 359 360
#> 13.00231121 12.11021381 -3.93392341 -3.12248446 6.65923188 -11.79360530
#> 361 362 363 364 365 366
#> -3.94695740 11.65390191 -5.48371528 12.42324291 6.29114264 7.11688882
#> 367 368 369 370 371 372
#> -6.76415698 8.37093417 5.36224668 -16.20788415 -11.98647351 5.43364348
#> 373 374 375 376 377 378
#> -6.76119294 -15.84461235 -4.47748253 9.83480732 13.94281806 -9.22592100
#> 379 380 381 382 383 384
#> -2.99413602 -10.11319268 -8.25060663 -16.60392708 14.51654525 -8.67739518
#> 385 386 387 388 389 390
#> 6.79471670 9.13488302 7.36630022 4.81462740 2.45766659 7.15150493
#> 391 392 393 394 395 396
#> 4.56446535 0.26795074 10.82161352 7.72465279 10.22116639 8.61964518
#> 397 398 399 400 401 402
#> -1.88466382 -0.79437049 -8.37131229 -3.99585324 13.71681452 -1.53291736
#> 403 404 405 406 407 408
#> 7.51963278 8.04217147 9.87815364 15.59712814 -12.08037634 -9.68635980
#> 409 410 411 412 413 414
#> -13.25233709 -8.63558161 -5.04523082 7.36925078 -12.61115261 3.03315498
#> 415 416 417 418 419 420
#> 11.81609907 4.45344774 -10.71318752 12.64421616 8.24565712 -0.31939596
#> 421 422 423 424 425 426
#> -15.58911592 -13.06593670 -8.82997104 -1.42674551 2.43862994 -3.26102257
#> 427 428 429 430 431 432
#> 9.41752199 -4.43586568 1.04727781 -4.36577704 4.57165414 -14.06694880
#> 433 434 435 436 437 438
#> -7.34298042 -14.24768767 6.90761532 -9.97438133 -16.95544343 14.63317511
#> 439 440 441 442 443 444
#> 2.44191711 -14.41214057 -2.41619611 2.87411517 -12.70176891 6.39018239
#> 445 446 447 448 449 450
#> 8.80796163 -11.52173238 -2.59629818 -1.57307819 -3.21203111 6.06236960
#> 451 452 453 454 455 456
#> -5.81937079 9.72672710 -11.08630330 2.64473011 -2.03564023 6.23141972
#> 457 458 459 460 461 462
#> -13.98491524 6.13189851 2.35207927 -1.65839294 0.58464866 13.17732122
#> 463 464 465 466 467 468
#> 15.59627331 11.11426834 -6.18452529 -10.83789283 -4.99873058 11.44521556
#> 469 470 471 472 473 474
#> -12.42940621 -3.79579125 6.39006467 -1.06230030 12.18204944 1.16765977
#> 475 476 477 478 479 480
#> -2.58471398 4.81401241 4.10499934 10.61822186 -3.94911314 6.85259449
#> 481 482 483 484 485 486
#> 10.61303179 -1.03572543 -2.86844561 4.13116726 -5.03494373 -4.84818440
#> 487 488 489 490 491 492
#> -8.60225445 -1.58502930 -1.80796573 -11.40601389 6.23275501 15.82685042
#> 493 494 495 496 497 498
#> 11.52183401 -5.48852271 6.59754200 -9.11632495 -3.63833744 4.27752863
#> 499 500 501 502 503 504
#> 9.53797390 11.82857963 4.67986456 15.00384515 11.70012820 -14.77848939
#> 505 506 507 508 509 510
#> 8.76107315 -2.45955640 -13.18187749 -0.49781743 7.85342737 -10.95151088
#> 511 512 513 514 515 516
#> -2.95725859 8.62367106 -1.77891423 -8.89721776 -11.95087052 -15.46731663
#> 517 518 519 520 521 522
#> 4.24231129 7.52506890 6.41124548 -1.60649372 -2.06153265 -1.05045051
#> 523 524 525 526 527 528
#> -8.53878906 -9.94166920 13.32973252 10.03250125 8.54065644 11.43077331
#> 529 530 531 532 533 534
#> -1.73705631 5.09082306 2.87039674 -12.08304134 -14.47959655 11.93729105
#> 535 536 537 538 539 540
#> -15.88821241 -7.38462378 11.30739780 2.43499032 9.02952449 10.65846743
#> 541 542 543 544 545 546
#> 8.34337647 -2.73577547 -13.84024910 -15.84251242 -0.64527340 10.07210736
#> 547 548 549 550 551 552
#> 6.05767599 -0.29055256 15.60918360 -12.81182969 -11.06883413 8.01012903
#> 553 554 555 556 557 558
#> -6.12531274 -11.97319636 -4.13856555 -1.80400095 -6.55454899 -7.38244538
#> 559 560 561 562 563 564
#> 5.55260396 -14.73297449 -9.40730944 -15.48118503 -8.01733625 1.53137763
#> 565 566 567 568 569 570
#> 1.56258200 10.71563233 11.54192682 -0.38107188 -4.68668523 10.70455317
#> 571 572 573 574 575 576
#> 12.11146968 -11.17045463 -6.48154793 0.40074256 -1.82531281 -8.31495073
#> 577 578 579 580 581 582
#> -14.26891351 -3.19219612 -11.67380259 -13.85333586 -2.01048783 13.52261244
#> 583 584 585 586 587 588
#> 6.19788590 -16.57568061 13.98217744 3.05138528 9.18432439 15.22650948
#> 589 590 591 592 593 594
#> -7.12429017 10.31939506 -9.11969183 13.45041848 6.13499477 -4.00572673
#> 595 596 597 598 599 600
#> 0.77131485 6.25619177 -15.77521718 -5.78141266 -14.93934332 2.64464787
#> 601 602 603 604 605 606
#> 13.35300965 14.96393280 14.66461247 -4.62068399 -15.01209814 -10.04993265
#> 607 608 609 610 611 612
#> 8.37988716 10.04021054 -3.98699155 -1.02067352 0.24375764 11.81943781
#> 613 614 615 616 617 618
#> 2.20523505 1.63266197 14.45188169 4.13951638 -13.61371502 4.29916223
#> 619 620 621 622 623 624
#> -7.62702270 -16.40240897 -6.92322359 5.62573909 6.82291948 13.63605863
#> 625 626 627 628 629 630
#> 0.51705234 6.56399543 -15.32002168 13.11842187 -8.12736775 14.38062042
#> 631 632 633 634 635 636
#> 2.14720749 -5.21749452 14.90103952 11.02484922 15.96149055 -12.80272040
#> 637 638 639 640 641 642
#> 13.30261068 -6.21192084 -4.64792216 -5.27994447 10.57502982 -2.96744562
#> 643 644 645 646 647 648
#> 14.19494298 -12.40618567 -12.98134541 6.42418626 -4.65702102 5.07949771
#> 649 650 651 652 653 654
#> -9.43648667 8.93378886 -2.01681845 -8.53192222 7.08859300 11.75975584
#> 655 656 657 658 659 660
#> -9.92888958 -7.07036411 -14.01566917 7.26184455 13.44288438 13.06632893
#> 661 662 663 664 665 666
#> -3.26741356 8.17101693 1.86470454 -4.49646269 0.94309713 9.90781657
#> 667 668 669 670 671 672
#> 10.90657219 -3.25419473 10.45371821 -11.58506265 1.09944223 -2.67005320
#> 673 674 675 676 677 678
#> 15.17975119 0.82635438 -0.05961206 7.87050374 -11.95233727 2.98463321
#> 679 680 681 682 683 684
#> -11.88469681 -4.29265225 14.90100870 -4.03473892 14.40387395 -3.74914822
#> 685 686 687 688 689 690
#> 3.53580420 8.55538476 7.05807957 -9.42314222 -15.44041867 13.60517478
#> 691 692 693 694 695 696
#> 4.18863834 -5.21307291 -11.46090616 6.27421579 -4.20061589 -14.02837634
#> 697 698 699 700 701 702
#> -12.83293292 -5.23991107 13.31864901 3.52378907 7.96013663 5.69250293
#> 703 704 705 706 707 708
#> 6.22804391 2.41481653 8.77227281 -16.33294798 -5.10483088 11.44859997
#> 709 710 711 712 713 714
#> 6.42133014 -3.19337965 15.35637573 -4.25222944 13.19978173 -15.68020328
#> 715 716 717 718 719 720
#> -12.45300724 -6.34659743 -8.76810248 -9.11623940 8.78389669 -0.82010984
#> 721 722 723 724 725 726
#> -11.01373304 12.87183122 -6.48989774 -0.96328357 -0.77154947 14.59231185
#> 727 728 729 730 731 732
#> 12.25105571 15.45591011 -0.31149069 9.34972092 -3.33933654 -5.85077075
#> 733 734 735 736 737 738
#> -1.74256583 -15.37762392 1.65061663 15.70460811 -13.76613047 3.10290327
#> 739 740 741 742 743 744
#> -1.44056979 -15.12807906 -8.80666772 -0.79111092 -14.78833635 -5.84570242
#> 745 746 747 748 749 750
#> -8.48160476 -7.23713684 9.08301824 9.85692125 -14.97258249 3.70768709
#> 751 752 753 754 755 756
#> -3.87739654 -10.08572785 -4.57192315 7.27275004 -2.68041874 2.54153540
#> 757 758 759 760 761 762
#> -14.49545068 -6.96192061 0.27866467 -2.05146798 -5.64468288 6.76974858
#> 763 764 765 766 767 768
#> -2.47738534 11.54388298 -4.12143836 11.52807357 1.92968547 14.07700503
#> 769 770 771 772 773 774
#> 12.20914558 -0.82709979 3.19496601 3.60339101 2.03660544 12.96968517
#> 775 776 777 778 779 780
#> 15.37788938 -8.29448746 -10.98908731 1.19248058 -10.22553883 10.86023828
#> 781 782 783 784 785 786
#> -11.40675720 0.06435164 2.99633725 6.53677220 -16.85563937 -0.84264928
#> 787 788 789 790 791 792
#> -8.66200696 -4.57623832 2.67813961 9.75328969 -16.49424783 -12.78803189
#> 793 794 795 796 797 798
#> -11.18537131 14.92523904 -0.81088907 -0.19389908 -3.75440532 4.15331678
#> 799 800 801 802 803 804
#> 10.91284627 -2.60481195 7.87964252 -1.81478009 15.93752444 2.80941583
#> 805 806 807 808 809 810
#> 15.46183219 -7.54196929 15.58361423 13.22599960 -3.83057003 -8.56885142
#> 811 812 813 814 815 816
#> 9.19714207 -8.08649634 11.02004403 14.94763161 -4.07927315 -2.40992639
#> 817 818 819 820 821 822
#> -13.49977231 -1.45856783 15.77103653 3.79200024 -2.85113487 12.55370329
#> 823 824 825 826 827 828
#> -6.77494023 -0.88346374 12.03204148 -11.37194083 0.13812075 5.92404639
#> 829 830 831 832 833 834
#> 0.60104100 -5.37334908 -10.42035310 -4.94828363 14.27473752 1.93994092
#> 835 836 837 838 839 840
#> -4.37314816 9.29072667 -2.60435133 -8.79138062 -13.71968518 -8.72042487
#> 841 842 843 844 845 846
#> 4.10840309 12.93639122 -6.25368948 11.40481109 0.64945684 1.08465606
#> 847 848 849 850 851 852
#> -13.11025808 6.21092817 -7.95090427 -8.01707861 -6.59452571 -1.30113208
#> 853 854 855 856 857 858
#> -8.02404338 -8.63211771 10.48481414 -0.30839509 6.26689367 14.58236336
#> 859 860 861 862 863 864
#> 6.22751412 -14.69589136 9.06543019 -7.08467518 -2.55425600 -12.05899262
#> 865 866 867 868 869 870
#> 9.97128882 -2.40678804 7.06044560 -16.24270043 -1.02795196 1.46419570
#> 871 872 873 874 875 876
#> -5.15103226 15.82900947 -0.99583375 -11.82162225 -13.40641712 -1.86706908
#> 877 878 879 880 881 882
#> 4.06819120 -7.89039296 14.28856664 0.71772151 13.48589308 13.39909035
#> 883 884 885 886 887 888
#> -6.48447590 9.76385866 -11.18008955 5.51438402 -12.54625365 -7.56051931
#> 889 890 891 892 893 894
#> -8.96591012 1.97637729 -16.41719522 -6.63063435 -0.67743467 13.18789902
#> 895 896 897 898 899 900
#> 12.97547534 -2.56489021 10.75986090 -2.06491135 14.97826665 1.80652048
#> 901 902 903 904 905 906
#> -13.91230517 1.93399475 11.07698776 -1.22199918 5.29202333 -2.10656179
#> 907 908 909 910 911 912
#> -3.32773957 -6.44326342 2.25350106 -10.83057775 12.86197104 -4.01610390
#> 913 914 915 916 917 918
#> -16.14243925 9.51206650 5.53430505 -13.23898102 14.46801329 -9.90417208
#> 919 920 921 922 923 924
#> -15.46528844 10.52653231 15.47822412 5.36223493 12.83277692 -10.18864488
#> 925 926 927 928 929 930
#> -0.85869584 -0.14960187 10.01419573 -1.19434686 -14.51306954 -10.63124722
#> 931 932 933 934 935 936
#> 7.74485667 8.52048276 -14.91144213 -6.50544252 12.46564971 -15.02454508
#> 937 938 939 940 941 942
#> 3.86874152 16.10352347 7.47784941 -16.75712115 6.10574013 1.46370111
#> 943 944 945 946 947 948
#> -12.10830218 6.69591968 1.13575716 -10.59734315 -16.47225067 -12.81235019
#> 949 950 951 952 953 954
#> 10.63054801 3.62914709 -5.07535721 3.40679497 7.14380853 -14.19729323
#> 955 956 957 958 959 960
#> -11.31023878 9.11211843 -12.52634862 3.19442798 -10.35923802 -15.83859327
#> 961 962 963 964 965 966
#> 12.38094754 10.14320263 -0.51355624 -12.68778333 2.23812049 2.05512624
#> 967 968 969 970 971 972
#> 12.70994575 -0.12692671 -3.65585353 7.40353808 10.54790102 -10.16293140
#> 973 974 975 976 977 978
#> 2.30433187 -1.50744419 -7.92953119 13.80672515 5.97238187 -0.96763062
#> 979 980 981 982 983 984
#> -5.30979536 -3.52939071 -10.29983251 -13.61013365 -2.76897305 -11.43082373
#> 985 986 987 988 989 990
#> 15.34194920 -4.93537923 1.74497072 13.10336018 -10.46038611 12.13058112
#> 991 992 993 994 995 996
#> 5.45342345 11.43608217 -1.31722421 -12.90556114 -1.40150894 13.17653809
#> 997 998 999 1000
#> 4.91598775 4.80194805 2.94178051 -6.59609630
#--------------------------------------------------------------------------------
# Example 2: Predictions using new values for covariates
predict(norm_mod, newdata = data.frame(x=0:6))
#> 1 2 3 4 5 6 7
#> -1.900430 1.113736 4.127901 7.142067 10.156233 13.170398 16.184564
#--------------------------------------------------------------------------------
# Example 3: Predictions for another parameter
predict(norm_mod, newdata = data.frame(x=0:6), param = "sd",
type = "response")
#> 1 2 3 4 5 6 7
#> 2.692141 3.688452 5.053480 6.923679 9.486003 12.996597 17.806396
#--------------------------------------------------------------------------------
# Example 4: Model terms
predict(norm_mod, param = "sd", type = "terms")
#> 1 2 3 4 5 6
#> -1.212661261 -0.151614923 -1.178457652 -0.688205996 -0.848344742 1.256579728
#> 7 8 9 10 11 12
#> -0.445912405 -1.687610681 0.297589841 1.503969741 -0.669622396 -0.864689928
#> 13 14 15 16 17 18
#> 0.397380551 -1.677048657 -0.337608973 -1.764085746 -0.808078046 1.177819310
#> 19 20 21 22 23 24
#> -0.275795219 1.390853881 -1.350561777 1.578750597 -1.140868346 1.321867477
#> 25 26 27 28 29 30
#> 0.714371785 0.851683465 1.223842391 0.196150908 1.593456161 0.661651853
#> 31 32 33 34 35 36
#> 0.247191112 1.378742126 -1.104736511 0.540308169 -0.839642932 -0.348049681
#> 37 38 39 40 41 42
#> -0.587224180 -1.391212094 0.732712120 1.593810222 -0.977268050 -1.407802454
#> 43 44 45 46 47 48
#> 1.370194440 0.261856010 -0.557214767 -0.116299974 -1.259557560 1.352611398
#> 49 50 51 52 53 54
#> 0.225850688 1.273690781 -0.361902907 0.787815266 -1.348703885 1.318571549
#> 55 56 57 58 59 60
#> 0.065057662 -0.033288718 0.158870533 0.514699255 -1.452804353 0.742094833
#> 61 62 63 64 65 66
#> 0.988400386 1.354056432 0.144280550 1.292667838 -0.328614364 -0.966719384
#> 67 68 69 70 71 72
#> 1.168101886 -0.788226812 -1.225683692 1.465583150 0.353566098 1.165448378
#> 73 74 75 76 77 78
#> -0.694227893 0.964111100 0.903431011 0.536117976 -1.426559478 -1.418947465
#> 79 80 81 82 83 84
#> 0.005527838 -0.178198045 -1.510564564 1.510447760 -1.751465142 -0.959677836
#> 85 86 87 88 89 90
#> 1.327196868 -0.300050288 -0.307703642 0.280395155 0.356053911 1.344316723
#> 91 92 93 94 95 96
#> -1.011102862 -0.670398218 -0.647357029 0.575329693 0.827789681 0.524606234
#> 97 98 99 100 101 102
#> -1.592004129 0.940598925 0.091161795 1.146527743 -1.178496695 -1.636191713
#> 103 104 105 106 107 108
#> 0.412127678 1.594234926 -1.139336230 -1.013022637 0.596344273 1.327342635
#> 109 110 111 112 113 114
#> -0.239363000 0.425189507 0.044357285 -0.897559881 -0.627167028 1.293461668
#> 115 116 117 118 119 120
#> 0.485920479 -0.233236869 0.169072585 -1.430978568 -1.114130154 1.288579318
#> 121 122 123 124 125 126
#> -0.672082989 -0.350184398 1.652636758 -1.249123814 -0.357149302 0.452268451
#> 127 128 129 130 131 132
#> 0.819789793 -0.353035329 1.318327050 0.898969104 0.803148867 1.556199740
#> 133 134 135 136 137 138
#> -0.825942786 0.047598600 1.067061076 -1.031206627 1.183425685 0.131722249
#> 139 140 141 142 143 144
#> 1.330365811 1.451517573 -1.439878596 -1.369472036 0.768448444 -0.083001587
#> 145 146 147 148 149 150
#> -0.160405992 0.849820395 -0.639976728 0.707596300 -1.768242775 -1.713085863
#> 151 152 153 154 155 156
#> 0.142343326 0.452789907 -0.360184373 1.529484481 0.872997320 -0.323617049
#> 157 158 159 160 161 162
#> -1.643512648 0.606626346 -0.405585107 0.446139178 1.610904870 0.863202741
#> 163 164 165 166 167 168
#> 0.781378556 1.222705513 1.648983868 -1.257851128 0.282070605 -0.376589514
#> 169 170 171 172 173 174
#> 0.168822356 -0.592583251 -0.386218898 0.993436835 0.733000141 0.401369439
#> 175 176 177 178 179 180
#> -1.399875741 -1.336008761 1.657878415 1.489542284 0.218124478 1.050709791
#> 181 182 183 184 185 186
#> 0.246417294 -1.439463590 -0.952215053 0.730965746 0.857566558 -1.483344902
#> 187 188 189 190 191 192
#> -0.788861507 -1.471900237 -1.167207262 1.156174114 0.560587527 -0.679952269
#> 193 194 195 196 197 198
#> 0.158351321 1.113002882 1.391830514 1.056749290 -1.468541662 0.998711218
#> 199 200 201 202 203 204
#> -1.756973878 -0.970566766 -1.033039711 -0.741340664 0.946100053 -1.147818740
#> 205 206 207 208 209 210
#> -0.178050916 1.535150175 -0.831000141 1.537820830 -0.882861717 -0.396081604
#> 211 212 213 214 215 216
#> 1.567207801 0.972530569 -1.338427392 1.216669287 -0.529662864 -0.129743897
#> 217 218 219 220 221 222
#> 0.531929606 -1.645185571 -1.635801215 -0.541170116 -0.565716713 1.674803878
#> 223 224 225 226 227 228
#> 0.521791725 1.522285291 0.030466711 1.239559086 0.438330160 0.759375667
#> 229 230 231 232 233 234
#> -1.579753561 1.326033206 -1.653066482 1.191448789 0.169017606 0.812671263
#> 235 236 237 238 239 240
#> 0.437261996 1.234113489 -1.627401454 1.387855038 0.189996927 1.501111631
#> 241 242 243 244 245 246
#> 0.685368605 0.737154180 1.004816535 1.665405426 -1.707992996 0.867454419
#> 247 248 249 250 251 252
#> 0.843253733 1.479119082 -1.014818405 0.076588209 -1.258654637 -1.771261743
#> 253 254 255 256 257 258
#> -1.241419687 -1.718330370 0.144169936 -1.313911068 -0.578150511 -1.299069849
#> 259 260 261 262 263 264
#> 0.880902107 0.405621228 1.456176866 -1.121160282 0.661522137 -0.635078999
#> 265 266 267 268 269 270
#> -1.283939450 -0.604827764 1.352170115 1.229371718 -0.654380573 0.960962217
#> 271 272 273 274 275 276
#> 0.591771653 -1.663000081 -0.741674259 -0.928710153 1.234556908 -0.901613464
#> 277 278 279 280 281 282
#> 0.873023405 0.743065461 -0.080258772 0.434014668 0.170616908 0.765103426
#> 283 284 285 286 287 288
#> 1.142859004 -1.564697313 -0.150915897 -0.525486167 1.032516501 -1.325039845
#> 289 290 291 292 293 294
#> 0.231586946 -0.651873133 -1.267524470 0.559739994 1.409660178 -1.661704998
#> 295 296 297 298 299 300
#> -0.954326151 1.349099182 0.835337196 -1.030700344 -0.717786514 1.014777374
#> 301 302 303 304 305 306
#> 0.828448080 -1.080583664 -1.390379736 0.804045954 -0.027513691 0.676028307
#> 307 308 309 310 311 312
#> -0.661104196 -0.592243347 -0.126356937 -0.539453179 -1.517637533 0.973257492
#> 313 314 315 316 317 318
#> 0.229868728 -1.320564708 -0.847751709 -0.811458935 -0.301628117 1.105967449
#> 319 320 321 322 323 324
#> -0.929953351 -1.477056193 -0.300776200 1.346655434 -0.827072537 -1.602553234
#> 325 326 327 328 329 330
#> -0.099925792 -0.713663684 0.453909386 -0.938088960 1.023650814 -1.148088600
#> 331 332 333 334 335 336
#> 1.489154262 -1.109488372 0.899567926 0.001955046 1.135663812 -0.645400241
#> 337 338 339 340 341 342
#> 1.632558427 1.449950510 0.981560124 -1.061398839 -1.178567359 -0.908857692
#> 343 344 345 346 347 348
#> -0.225828212 -0.497540776 1.356872509 1.504567192 -1.637961459 -1.001839716
#> 349 350 351 352 353 354
#> -0.358559882 -0.082520332 -1.610171241 -1.583687871 0.733812328 -0.565550159
#> 355 356 357 358 359 360
#> 1.345857232 1.252665657 -0.423360317 -0.338594602 0.683237262 -1.244409827
#> 361 362 363 364 365 366
#> -0.424721893 1.204997741 -0.585256927 1.285365757 0.644785389 0.731045686
#> 367 368 369 370 371 372
#> -0.719016289 0.862047594 0.547749710 -1.705540638 -1.264557505 0.555208066
#> 373 374 375 376 377 378
#> -0.718706654 -1.667592011 -0.480142380 1.014968838 1.444105824 -0.976180658
#> 379 380 381 382 383 384
#> -0.325186881 -1.068868122 -0.874295951 -1.746912649 1.504039348 -0.918879757
#> 385 386 387 388 389 390
#> 0.697390474 0.941852328 0.757100063 0.490543509 0.244327244 0.734661805
#> 391 392 393 394 395 396
#> 0.464410717 0.015581965 1.118054021 0.794534810 1.055329240 0.888028804
#> 397 398 399 400 401 402
#> -0.209287584 -0.095391779 -0.886905281 -0.429829721 1.420496715 -0.172542934
#> 403 404 405 406 407 408
#> 0.773117711 0.827703908 1.019496944 1.616920768 -1.274366920 -1.024279685
#> 409 410 411 412 413 414
#> -1.396793986 -0.914511767 -0.539451326 0.757408288 -1.329813642 0.304444749
#> 415 416 417 418 419 420
#> 1.221941416 0.452813434 -1.131545655 1.308449387 0.848960721 -0.045774298
#> 421 422 423 424 425 426
#> -1.640901971 -1.377321958 -0.934818359 -0.161451856 0.242338610 -0.353066772
#> 427 428 429 430 431 432
#> 0.971377771 -0.475794940 0.096993162 -0.468473238 0.465161683 -1.481891139
#> 433 434 435 436 437 438
#> -0.779482183 -1.500771745 0.709184254 -1.054367409 -1.783633261 1.516222906
#> 439 440 441 442 443 444
#> 0.242681999 -1.517951063 -0.264813282 0.287830900 -1.339279734 0.655131424
#> 445 446 447 448 449 450
#> 0.907700991 -1.216009043 -0.283627367 -0.176738274 -0.347948954 0.620886968
#> 451 452 453 454 455 456
#> -0.620320661 1.003678405 -1.170522617 0.263868546 -0.225059101 0.638546526
#> 457 458 459 460 461 462
#> -1.473321629 0.628150198 0.233297228 -0.185650547 0.048665324 1.364139382
#> 463 464 465 466 467 468
#> 1.616831469 1.148625754 -0.658465961 -1.144572801 -0.534593750 1.183197643
#> 469 470 471 472 473 474
#> -1.310827785 -0.408930555 0.655119126 -0.123380652 1.260169855 0.109568677
#> 475 476 477 478 479 480
#> -0.282417241 0.490479265 0.416413311 1.096807025 -0.424947089 0.703436588
#> 481 482 483 484 485 486
#> 1.096264853 -0.120604548 -0.312056827 0.419146903 -0.538376701 -0.518867177
#> 487 488 489 490 491 492
#> -0.911030297 -0.177986728 -0.201275437 -1.203920689 0.638686016 1.640918351
#> 493 494 495 496 497 498
#> 1.191201471 -0.585759128 0.676792925 -0.964731877 -0.392482386 0.434436316
#> 499 500 501 502 503 504
#> 0.983960594 1.223245178 0.476465718 1.554944378 1.209826698 -1.556221126
#> 505 506 507 508 509 510
#> 0.902802859 -0.269342848 -1.389433533 -0.064412821 0.807987047 -1.156441735
#> 511 512 513 514 515 516
#> -0.321334537 0.888449363 -0.198240617 -0.941843183 -1.260838294 -1.628178397
#> 517 518 519 520 521 522
#> 0.430757392 0.773685587 0.657331747 -0.180228975 -0.227763913 -0.122142781
#> 523 524 525 526 527 528
#> -0.904400483 -1.050950187 1.380060793 1.035620628 0.879777369 1.181688956
#> 529 530 531 532 533 534
#> -0.193867994 0.519395861 0.287442461 -1.274645314 -1.524997747 1.234601549
#> 535 536 537 538 539 540
#> -1.672146624 -0.783832393 1.168800724 0.241958403 0.930846213 1.101011218
#> 541 542 543 544 545 546
#> 0.859168822 -0.298197646 -1.458209304 -1.667372645 -0.079816582 1.039758020
#> 547 548 549 550 551 552
#> 0.620396657 -0.042761218 1.618180123 -1.350777063 -1.168697728 0.824356644
#> 553 554 555 556 557 558
#> -0.652280414 -1.263170529 -0.444737942 -0.200861263 -0.697119914 -0.783604830
#> 559 560 561 562 563 564
#> 0.567635088 -1.551466482 -0.995129121 -1.629627138 -0.849927722 0.147563901
#> 565 566 567 568 569 570
#> 0.150823617 1.106982860 1.193300436 -0.052217179 -0.501996416 1.105825493
#> 571 572 573 574 575 576
#> 1.252796850 -1.179313356 -0.689493971 0.029453857 -0.203087573 -0.881017558
#> 577 578 579 580 581 582
#> -1.502989069 -0.345876924 -1.231894822 -1.459576393 -0.222431595 1.400209694
#> 583 584 585 586 587 588
#> 0.635043468 -1.743961926 1.448217441 0.306349148 0.947017145 1.578204663
#> 589 590 591 592 593 594
#> -0.756637045 1.065590547 -0.965083593 1.392668065 0.628473644 -0.430861140
#> 595 596 597 598 599 600
#> 0.068165119 0.641134300 -1.660342752 -0.616355423 -1.573024482 0.263859955
#> 601 602 603 604 605 606
#> 1.382492402 1.550774997 1.519506961 -0.495101699 -1.580624702 -1.062259760
#> 607 608 609 610 611 612
#> 0.862982854 1.036425968 -0.428903998 -0.119032175 0.013054671 1.222290192
#> 613 614 615 616 617 618
#> 0.217957374 0.158144413 1.497284369 0.420019081 -1.434544773 0.436696237
#> 619 620 621 622 623 624
#> -0.809154221 -1.725861372 -0.735632936 0.575275037 0.700336634 1.412060676
#> 625 626 627 628 629 630
#> 0.041603979 0.673288533 -1.612791459 1.357986552 -0.861421992 1.489840171
#> 631 632 633 634 635 636
#> 0.211895615 -0.557446587 1.544204947 1.139284724 1.654983323 -1.349825474
#> 637 638 639 640 641 642
#> 1.377227551 -0.661327795 -0.497947092 -0.563970325 1.092295036 -0.322398709
#> 643 644 645 646 647 648
#> 1.470443665 -1.308402087 -1.368485260 0.658683585 -0.498897590 0.518212777
#> 649 650 651 652 653 654
#> -0.998177075 0.920845338 -0.223092913 -0.903683149 0.728089807 1.216055607
#> 655 656 657 658 659 660
#> -1.049615183 -0.751003742 -1.476534291 0.746188262 1.391881026 1.352544744
#> 661 662 663 664 665 666
#> -0.353734397 0.841163549 0.182384381 -0.482125113 0.086110088 1.022595636
#> 667 668 669 670 671 672
#> 1.126929097 -0.352353512 1.079622407 -1.222624741 0.102442438 -0.291332070
#> 673 674 675 676 677 678
#> 1.573320131 0.073914738 -0.018636375 0.809770904 -1.260991516 0.299375997
#> 679 680 681 682 683 684
#> -1.253925560 -0.460834371 1.544201728 -0.433891853 1.492269315 -0.404058063
#> 685 686 687 688 689 690
#> 0.356953222 0.881315939 0.724902270 -0.996783068 -1.625368543 1.408834442
#> 691 692 693 694 695 696
#> 0.425150531 -0.556984691 -1.209654926 0.643017152 -0.451219934 -1.477861726
#> 697 698 699 700 701 702
#> -1.352981579 -0.559788298 1.378902970 0.355698079 0.819134265 0.582249418
#> 703 704 705 706 707 708
#> 0.638193878 0.239850979 0.903972814 -1.718605237 -0.545677355 1.183551191
#> 709 710 711 712 713 714
#> 0.658385225 -0.346000559 1.591770940 -0.456611664 1.366485684 -1.650417272
#> 715 716 717 718 719 720
#> -1.313293230 -0.675396576 -0.928355355 -0.964722940 0.905187085 -0.098080599
#> 721 722 723 724 725 726
#> -1.162941678 1.332226841 -0.690366221 -0.113037022 -0.093007816 1.511954189
#> 727 728 729 730 731 732
#> 1.267378488 1.602168645 -0.044948487 0.964295038 -0.361247720 -0.623600809
#> 733 734 735 736 737 738
#> -0.194443538 -1.618808787 0.160020019 1.628148497 -1.450466617 0.311730896
#> 739 740 741 742 743 744
#> -0.162895989 -1.592740470 -0.932384014 -0.095051272 -1.557249773 -0.623071353
#> 745 746 747 748 749 750
#> -0.898426814 -0.768425398 0.936434355 1.017278936 -1.576496761 0.374908702
#> 751 752 753 754 755 756
#> -0.417455325 -1.065999051 -0.490007973 0.747327488 -0.292414891 0.253088470
#> 757 758 759 760 761 762
#> -1.526653925 -0.739675360 0.016701179 -0.226712522 -0.602072159 0.694782218
#> 763 764 765 766 767 768
#> -0.271205321 1.193504782 -0.442948777 1.191853278 0.189172513 1.458123458
#> 769 770 771 772 773 774
#> 1.263000411 -0.098810794 0.321348088 0.364013573 0.200341743 1.342449003
#> 775 776 777 778 779 780
#> 1.594018330 -0.878879895 -1.160367099 0.112161545 -1.080604189 1.122088897
#> 781 782 783 784 785 786
#> -1.203998338 -0.005686699 0.300598642 0.670444701 -1.773207385 -0.100435148
#> 787 788 789 790 791 792
#> -0.917272250 -0.490458751 0.267358617 1.006453225 -1.735455176 -1.348291062
#> 793 794 795 796 797 798
#> -1.180871604 1.546732912 -0.097117367 -0.032664462 -0.404607238 0.421460718
#> 799 800 801 802 803 804
#> 1.127584509 -0.284516745 0.810725572 -0.201987289 1.652479741 0.281072184
#> 805 806 807 808 809 810
#> 1.602787285 -0.800269248 1.615509058 1.369224493 -0.412563666 -0.907540901
#> 811 812 813 814 815 816
#> 0.948356124 -0.857152424 1.138782757 1.549072118 -0.438544053 -0.264158326
#> 817 818 819 820 821 822
#> -1.422641924 -0.164776126 1.635087839 0.383716345 -0.310248488 1.298994099
#> 823 824 825 826 827 828
#> -0.720142744 -0.104698767 1.244499506 -1.200361300 0.002019476 0.606437248
#> 829 830 831 832 833 834
#> 0.050377725 -0.573727693 -1.100955160 -0.529323889 1.478779277 0.190243833
#> 835 836 837 838 839 840
#> -0.469243251 0.958132294 -0.284468627 -0.930787070 -1.445614781 -0.923374787
#> 841 842 843 844 845 846
#> 0.416768879 1.338971002 -0.665691091 1.178976853 0.055435410 0.100897824
#> 847 848 849 850 851 852
#> -1.381951922 0.636405908 -0.842988008 -0.849900808 -0.701296021 -0.148329844
#> 853 854 855 856 857 858
#> -0.850628372 -0.914149916 1.082870795 -0.044625110 0.642252258 1.510914935
#> 859 860 861 862 863 864
#> 0.638138535 -1.547592649 0.934597046 -0.752498727 -0.279235495 -1.272133102
#> 865 866 867 868 869 870
#> 1.029226166 -0.263830483 0.725149433 -1.709177666 -0.119792505 0.140545845
#> 871 872 873 874 875 876
#> -0.550503710 1.641143893 -0.116437326 -1.247336573 -1.412889718 -0.207449577
#> 877 878 879 880 881 882
#> 0.412568206 -0.836666788 1.480223915 0.062566573 1.396373863 1.387306150
#> 883 884 885 886 887 888
#> -0.689799838 1.007557296 -1.180319853 0.563642502 -1.323034072 -0.802207047
#> 889 890 891 892 893 894
#> -0.949019024 0.194050102 -1.727405994 -0.705068053 -0.083176259 1.365244375
#> 895 896 897 898 899 900
#> 1.343053864 -0.280346381 1.111603129 -0.228116863 1.552272360 0.176306273
#> 901 902 903 904 905 906
#> -1.465736531 0.189622675 1.144731296 -0.140063347 0.540413936 -0.232467812
#> 907 908 909 910 911 912
#> -0.360036259 -0.685494639 0.222999408 -1.143808643 1.331196813 -0.431945175
#> 913 914 915 916 917 918
#> -1.698704037 0.981254218 0.565723522 -1.395398765 1.498969532 -1.047033109
#> 919 920 921 922 923 924
#> -1.627966526 1.087228819 1.604499644 0.547748483 1.328147094 -1.076750119
#> 925 926 927 928 929 930
#> -0.102111427 -0.028037022 1.033708371 -0.137174691 -1.528494451 -1.122985888
#> 931 932 933 934 935 936
#> 0.796645376 0.877669957 -1.570109828 -0.691990082 1.289795718 -1.581924953
#> 937 938 939 940 941 942
#> 0.391733004 1.669820573 0.768752876 -1.762915831 0.625417603 0.140494178
#> 943 944 945 946 947 948
#> -1.277284149 0.687069796 0.106236020 -1.119444152 -1.733157277 -1.350831436
#> 949 950 951 952 953 954
#> 1.098094658 0.366704143 -0.542598433 0.343476472 0.733857813 -1.495507367
#> 955 956 957 958 959 960
#> -1.193915691 0.939474261 -1.320954724 0.321291883 -1.094570868 -1.666963238
#> 961 962 963 964 965 966
#> 1.280947437 1.047184877 -0.066056952 -1.337818752 0.221392700 0.202276489
#> 967 968 969 970 971 972
#> 1.315315726 -0.025668297 -0.394312177 0.760990058 1.089461068 -1.074064000
#> 973 974 975 976 977 978
#> 0.228309371 -0.169881919 -0.840755302 1.429889089 0.611486539 -0.113491130
#> 979 980 981 982 983 984
#> -0.567088651 -0.381101434 -1.088365163 -1.434170650 -0.301665580 -1.206512412
#> 985 986 987 988 989 990
#> 1.590263894 -0.527975850 0.169876572 1.356413156 -1.105137146 1.254793296
#> 991 992 993 994 995 996
#> 0.557274350 1.182243538 -0.150010883 -1.360568573 -0.158815557 1.364057573
#> 997 998 999 1000
#> 0.501131961 0.489218980 0.294899456 -0.701460090
#--------------------------------------------------------------------------------