lactcurves_Documentation: Lactation Curve Parameter Estimation
In lactcurves: Lactation Curve Parameter Estimation
Description
Usage
Arguments
Value
Citation
Note
Author(s)
Examples
Description
AllCurves runs multiple lactation curve models and extracts selection criteria (RSE, R2,
log likelihood, AIC, AICC, and BIC) for each model.
Usage
1
Arguments
x
data frame containing londitudinal trait records and time points of record collection
trait
specifies the column containing longitudinal trait records
dim
specifies the column containing time points
Value
Output
modelnames
provides names and order number of models
model
gives model equation, default starting parameters, and other model specifications
critall
gives selection criteria for all models sorted from best to worst accroding to specified criteria
modeldescrip
gives RSS, RSD, and F-value for each model
critbest
gives all selection criteria for best model
bestmodel
gives model equation for best model for each selection criterion
Error
gives a Warning if model failed to converge
ModelParam
gives a list of three tables containing the converged model parameters
summary*
gives the summary of a particular model. summary1 for example give the summary of the first model by Michaelis and Menten
Citation
Strucken, E.M. (2021). lactcurves: Lactation Curve Parameter Estimation. R package version 1.1.0
Note
lactcurved requires installation of packages polynom, orthopolynom, and splines.
In general, if a lactation curve model is linear, it can be fitted directly in a test-day (TD)
model. If lactation curve model is non-linear, parameters need to be estimated first and then
fitted in a TD model with other fixed and random effects if required.
In lactcurves, starting parameters (defined in start) have been optimized across the first three
lactations of 1.7 million Holstein Friesian dairy cows. If a lactation curve model fails to
converge with other data, it is recommended to extract the model code and optimize the start values
for the new data.
Author(s)
Eva M. Strucken
Examples
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## create data set for 3 individuals with milk yield records on 24 days
ID=c(rep("ID123",24),rep("ID456",24),rep("ID789",24))
dim=as.integer(rep(seq(from=5, to=340, by=14),3))
mkg=as.numeric(c(23.4,28.3,30.5,31.3,31.5,31.3,30.9,30.5,30.1,29.6,29.1,28.7,28.2,27.7,27.2,26.7,
26.2,25.7,25.2,24.7,24.2,23.7,23.2,22.8,
21.3,25.7,26.9,27.2,26.9,26.5,26.1,25.6,25.1,24.6,24.1,23.6,23.1,22.6,22.1,21.6,21.1,20.6,20.1,
19.6,19.1,18.6,18.1,17.6,
22.0,26.5,28.1,28.4,28.2,27.9,27.4,26.9,26.4,25.9,25.4,24.9,24.4,23.9,23.4,22.9,22.4,21.9,21.4,
20.9,20.4,19.9,19.4,18.9))
data=cbind.data.frame(ID,dim,mkg)
## run example
library(polynom)
library(orthopolynom)
library(splines)
output=AllCurves(data,mkg,dim)
output$critall
output$modeldescrip
output$critbest
output$bestmodel
output$Error
output$ModelParam
output$summary17b
## plot curve
# set the number of days to consider
dim=c(1:340)
# look up the model and its estimated parameters
output$summary17b
# use model and parameters to plot curve
plot(19.293701+(31.358471-19.293701)*(1-exp(1)^(-0.059874*dim))-0.035495*dim)
Example output
Loading required package: orthopolynom
Loading required package: polynom
Loading required package: splines
(12) Papajcsik and Bodero 4 (31) Diphasic Grossman power
"Missing value or infinity produced" "singular gradient"
There were 50 or more warnings (use warnings() to see the first 50)
R2
(1) Michaelis-Menten 0.000436136945130494
(1a) Michaelis-Menten (Rook) 0.0289724217151872
(1b) Michaelis-Menten + Exponential (Rook) 0.0542874808895229
(2) Brody 1923 0.448256884723914
(3) Brody 1924 0.629630804183949
(4) Schumacher 0.000504304715927073
(4a) Schumacher (Lopez) 6.98640789966972e-07
(5) Parabolic Exponential (Sikka, Adediran) 0.566911783624342
(6) Wood 0.669321128600804
(6a) Wood (Dhanoa) 0.669321127136878
(6b) Wood (Cappio-Borlino) 0.669321128600804
(7) Quadratic Polynomial (Dave) 0.555390438429652
(8) Cobby & Le Du 0.640960351521598
(9) Papajcsik and Bodero 1 0.632467827759599
(10) Papajcsik and Bodero 2 0.660445302662788
(11) Papajcsik and Bodero 3 0.665927223050748
(12) Papajcsik and Bodero 4 Error
(13) Papajcsik and Bodero 6 0.660537023523981
(14) Mixed log model 1 (Guo & Swalve) 0.674266311366721
(15) Mixed log model 3 (Guo & Swalve) 0.674266376335389
(16) Log-quadratic (Adediran) 0.650222438411305
(17) Wilmink 0.675562963081251
(17a) Wilmink (Kheidirabadi) 0.675562963081251
(17b) Wilmink (Laurenson & Strucken) 0.67556296308131
(18) Bicompartemental (Ferguson & Boston) 0.67440855840462
(19) Dijkstra 0.674082529959148
(20) Morant & Gnanasakthy (Pollott) 0.670024363428723
(21) Morant & Gnanasakthy (Vargas) 0.670024363667883
(22) Morant & Gnanasakthy (Adediran) 0.670024363435728
(23) Khandekar (Guo & Swalve) 0.674946271400491
(24) Ali & Schaeffer 0.674577267303169
(25) Fractional Polynomial (Elvira) 0.674643931975275
(26) Pollott multiplicative reduced (Elvira) 0.479292102806952
(27) Pollott modified (Adediran) 0.675197885716652
(28) Monophasic Grossman 0.531795376490423
(29) Monophasic Grossman power 0.674724565530623
(30) Diphasic Grossman 0.654843991310803
(31) Diphasic Grossman power Error
(32) Legendre Polynomial 3th (Jacobson) 0.44035178382893
(33) Legendre Polynomial 4th (Jacobson) 0.592805988020771
(34) Legendre + Wilmink (Lindauer) 0.65785213762452
(35) Natural Cubic Spline (3 percentiles) 0.627449264507741
(36) Natural Cubic Spline (4 percentiles) 0.648653211920084
(37) Natural Cubic Spline (5 percentiles) 0.65702780983457
(38) Natural Cubic Spline (defined Harrell) 0.668185308971089
R2adj
(1) Michaelis-Menten -0.0138433468127963
(1a) Michaelis-Menten (Rook) 0.0151005991682612
(1b) Michaelis-Menten + Exponential (Rook) 0.012564869752296
(2) Brody 1923 0.44037484021997
(3) Brody 1924 0.618895465174788
(4) Schumacher -0.0137742052167025
(4a) Schumacher (Lopez) -0.0142850056643415
(5) Parabolic Exponential (Sikka, Adediran) 0.554358501990265
(6) Wood 0.659736233777638
(6a) Wood (Dhanoa) 0.659736232271281
(6b) Wood (Cappio-Borlino) 0.659736233777638
(7) Quadratic Polynomial (Dave) 0.542503204760946
(8) Cobby & Le Du 0.630553405188891
(9) Papajcsik and Bodero 1 0.621814721317848
(10) Papajcsik and Bodero 2 0.650603137522579
(11) Papajcsik and Bodero 3 0.656243954153668
(12) Papajcsik and Bodero 4 Error
(13) Papajcsik and Bodero 6 0.650697516959459
(14) Mixed log model 1 (Guo & Swalve) 0.664824755174452
(15) Mixed log model 3 (Guo & Swalve) 0.659895775291362
(16) Log-quadratic (Adediran) 0.640083958365256
(17) Wilmink 0.66124956439366
(17a) Wilmink (Kheidirabadi) 0.661249564393659
(17b) Wilmink (Laurenson & Strucken) 0.661249564393721
(18) Bicompartemental (Ferguson & Boston) 0.660044230098941
(19) Dijkstra 0.659703818045581
(20) Morant & Gnanasakthy (Pollott) 0.655466614756461
(21) Morant & Gnanasakthy (Vargas) 0.655466615006172
(22) Morant & Gnanasakthy (Adediran) 0.655466614763775
(23) Khandekar (Guo & Swalve) 0.655540078648281
(24) Ali & Schaeffer 0.655149044455597
(25) Fractional Polynomial (Elvira) 0.655219689108127
(26) Pollott multiplicative reduced (Elvira) 0.471853418561337
(27) Pollott modified (Adediran) 0.660868380674739
(28) Monophasic Grossman 0.518224227982899
(29) Monophasic Grossman power 0.660374178715797
(30) Diphasic Grossman 0.628695808834349
(31) Diphasic Grossman power Error
(32) Legendre Polynomial 3th (Jacobson) 0.415661421350794
(33) Legendre Polynomial 4th (Jacobson) 0.568495897753354
(34) Legendre + Wilmink (Lindauer) 0.637425399572252
(35) Natural Cubic Spline (3 percentiles) 0.605207429552979
(36) Natural Cubic Spline (4 percentiles) 0.622036031004938
(37) Natural Cubic Spline (5 percentiles) 0.625368838434684
(38) Natural Cubic Spline (defined Harrell) 0.63755626056842
RSE logL
(1) Michaelis-Menten 3.59525615182139 -193.281720163285
(1a) Michaelis-Menten (Rook) 23.7244670223584 -329.137918139084
(1b) Michaelis-Menten + Exponential (Rook) 15.2202347178626 -296.134927219605
(2) Brody 1923 2.67160756806929 -171.902409938783
(3) Brody 1924 2.20428382149569 -157.540419693239
(4) Schumacher 3.59512903842487 -193.279174495895
(4a) Schumacher (Lopez) 3.59603464826013 -193.297308948489
(5) Parabolic Exponential (Sikka, Adediran) 2.38378930408305 -163.17720663357
(6) Wood 2.08284005028978 -153.460158996869
(6a) Wood (Dhanoa) 2.08284005030745 -153.46015899748
(6b) Wood (Cappio-Borlino) 2.08284005028978 -153.460158996869
(7) Quadratic Polynomial (Dave) 2.41511543041576 -164.117218264644
(8) Cobby & Le Du 2.17038511200861 -156.424561111673
(9) Papajcsik and Bodero 1 2.19646172110655 -157.284466779958
(10) Papajcsik and Bodero 2 2.11063854120666 -154.414746278315
(11) Papajcsik and Bodero 3 2.09362258885141 -153.831930310728
(12) Papajcsik and Bodero 4 Error Error
(13) Papajcsik and Bodero 6 2.1103278470548 -154.404146819842
(14) Mixed log model 1 (Guo & Swalve) 2.06718731925394 -152.917029095096
(15) Mixed log model 3 (Guo & Swalve) 2.08233154349797 -152.917021914775
(16) Log-quadratic (Adediran) 2.14218642558004 -155.482972390874
(17) Wilmink 2.07818303776521 -152.773437506686
(17a) Wilmink (Kheidirabadi) 2.07818303776521 -152.773437506686
(17b) Wilmink (Laurenson & Strucken) 2.07818303776502 -152.773437506679
(18) Bicompartemental (Ferguson & Boston) 2.08188270781563 -152.901501018249
(19) Dijkstra 2.08292899193132 -152.937676703176
(20) Morant & Gnanasakthy (Pollott) 2.09585245796881 -153.383018261428
(21) Morant & Gnanasakthy (Vargas) 2.09585245796885 -153.38301826143
(22) Morant & Gnanasakthy (Adediran) 2.09585245796881 -153.383018261428
(23) Khandekar (Guo & Swalve) 2.09562327669507 -152.84180154928
(24) Ali & Schaeffer 2.09681242508723 -152.882645914046
(25) Fractional Polynomial (Elvira) 2.09659764219359 -152.875270356632
(26) Pollott multiplicative reduced (Elvira) 2.59501733069156 -169.808132866373
(27) Pollott modified (Adediran) 2.07935233514686 -152.813937180722
(28) Monophasic Grossman 2.47841166179334 -165.979916786622
(29) Monophasic Grossman power 2.08086819160245 -152.86640635582
(30) Diphasic Grossman 2.17575703498082 -155.00228477408
(31) Diphasic Grossman power Error Error
(32) Legendre Polynomial 3th (Jacobson) 2.72945629428277 -172.401246435116
(33) Legendre Polynomial 4th (Jacobson) 2.34550481598836 -160.952575353478
(34) Legendre + Wilmink (Lindauer) 2.1502421533014 -154.694321901504
(35) Natural Cubic Spline (3 percentiles) 2.24351175901512 -157.751580325174
(36) Natural Cubic Spline (4 percentiles) 2.19517458036918 -155.641998495595
(37) Natural Cubic Spline (5 percentiles) 2.18547485473226 -154.773521164847
(38) Natural Cubic Spline (defined Harrell) 2.14963223431704 -153.582903528958
AIC AICC
(1) Michaelis-Menten 392.563440326571 389.730106993237
(1a) Michaelis-Menten (Rook) 664.275836278169 661.442502944835
(1b) Michaelis-Menten + Exponential (Rook) 602.269854439211 597.825409994766
(2) Brody 1923 349.804819877566 346.971486544233
(3) Brody 1924 323.080839386479 319.414172719812
(4) Schumacher 392.558348991791 389.725015658457
(4a) Schumacher (Lopez) 392.594617896977 389.761284563644
(5) Parabolic Exponential (Sikka, Adediran) 334.35441326714 330.687746600473
(6) Wood 314.920317993739 311.253651327072
(6a) Wood (Dhanoa) 314.92031799496 311.253651328293
(6b) Wood (Cappio-Borlino) 314.920317993739 311.253651327072
(7) Quadratic Polynomial (Dave) 336.234436529287 332.567769862621
(8) Cobby & Le Du 320.849122223347 317.18245555668
(9) Papajcsik and Bodero 1 322.568933559915 318.902266893248
(10) Papajcsik and Bodero 2 316.829492556629 313.162825889963
(11) Papajcsik and Bodero 3 315.663860621455 311.997193954789
(12) Papajcsik and Bodero 4 Error Error
(13) Papajcsik and Bodero 6 316.808293639683 313.141626973017
(14) Mixed log model 1 (Guo & Swalve) 313.834058190191 310.167391523525
(15) Mixed log model 3 (Guo & Swalve) 315.83404382955 311.389599385106
(16) Log-quadratic (Adediran) 318.965944781748 315.299278115081
(17) Wilmink 315.546875013372 311.102430568928
(17a) Wilmink (Kheidirabadi) 315.546875013372 311.102430568928
(17b) Wilmink (Laurenson & Strucken) 315.546875013359 311.102430568914
(18) Bicompartemental (Ferguson & Boston) 315.803002036498 311.358557592054
(19) Dijkstra 315.875353406352 311.430908961907
(20) Morant & Gnanasakthy (Pollott) 316.766036522857 312.321592078412
(21) Morant & Gnanasakthy (Vargas) 316.76603652286 312.321592078415
(22) Morant & Gnanasakthy (Adediran) 316.766036522857 312.321592078412
(23) Khandekar (Guo & Swalve) 317.68360309856 312.516936431893
(24) Ali & Schaeffer 317.765291828093 312.598625161426
(25) Fractional Polynomial (Elvira) 317.750540713265 312.583874046598
(26) Pollott multiplicative reduced (Elvira) 345.616265732746 342.782932399412
(27) Pollott modified (Adediran) 315.627874361444 311.183429917
(28) Monophasic Grossman 339.959833573244 336.293166906578
(29) Monophasic Grossman power 315.732812711641 311.288368267196
(30) Diphasic Grossman 324.004569548159 318.171236214826
(31) Diphasic Grossman power Error Error
(32) Legendre Polynomial 3th (Jacobson) 354.802492870232 350.358048425787
(33) Legendre Polynomial 4th (Jacobson) 333.905150706956 328.73848404029
(34) Legendre + Wilmink (Lindauer) 321.388643803007 316.22197713634
(35) Natural Cubic Spline (3 percentiles) 327.503160650348 322.336493983681
(36) Natural Cubic Spline (4 percentiles) 325.283996991189 319.450663657856
(37) Natural Cubic Spline (5 percentiles) 325.547042329694 319.10259788525
(38) Natural Cubic Spline (defined Harrell) 323.165807057916 316.721362613471
BIC
(1) Michaelis-Menten 399.393438683619
(1a) Michaelis-Menten (Rook) 671.105834635217
(1b) Michaelis-Menten + Exponential (Rook) 613.653185034291
(2) Brody 1923 356.634818234614
(3) Brody 1924 332.187503862543
(4) Schumacher 399.388347348839
(4a) Schumacher (Lopez) 399.424616254025
(5) Parabolic Exponential (Sikka, Adediran) 343.461077743204
(6) Wood 324.026982469803
(6a) Wood (Dhanoa) 324.026982471024
(6b) Wood (Cappio-Borlino) 324.026982469803
(7) Quadratic Polynomial (Dave) 345.341101005352
(8) Cobby & Le Du 329.955786699411
(9) Papajcsik and Bodero 1 331.675598035979
(10) Papajcsik and Bodero 2 325.936157032693
(11) Papajcsik and Bodero 3 324.77052509752
(12) Papajcsik and Bodero 4 Error
(13) Papajcsik and Bodero 6 325.914958115748
(14) Mixed log model 1 (Guo & Swalve) 322.940722666256
(15) Mixed log model 3 (Guo & Swalve) 327.217374424631
(16) Log-quadratic (Adediran) 328.072609257812
(17) Wilmink 326.930205608452
(17a) Wilmink (Kheidirabadi) 326.930205608452
(17b) Wilmink (Laurenson & Strucken) 326.930205608439
(18) Bicompartemental (Ferguson & Boston) 327.186332631578
(19) Dijkstra 327.258684001432
(20) Morant & Gnanasakthy (Pollott) 328.149367117937
(21) Morant & Gnanasakthy (Vargas) 328.14936711794
(22) Morant & Gnanasakthy (Adediran) 328.149367117937
(23) Khandekar (Guo & Swalve) 331.343599812656
(24) Ali & Schaeffer 331.425288542189
(25) Fractional Polynomial (Elvira) 331.410537427361
(26) Pollott multiplicative reduced (Elvira) 352.446264089794
(27) Pollott modified (Adediran) 327.011204956525
(28) Monophasic Grossman 349.066498049309
(29) Monophasic Grossman power 327.116143306721
(30) Diphasic Grossman 339.941232381271
(31) Diphasic Grossman power Error
(32) Legendre Polynomial 3th (Jacobson) 366.185823465312
(33) Legendre Polynomial 4th (Jacobson) 347.565147421053
(34) Legendre + Wilmink (Lindauer) 335.048640517103
(35) Natural Cubic Spline (3 percentiles) 341.163157364444
(36) Natural Cubic Spline (4 percentiles) 341.220659824301
(37) Natural Cubic Spline (5 percentiles) 343.760371281823
(38) Natural Cubic Spline (defined Harrell) 341.379136010044
DW
(1) Michaelis-Menten 0.114200878349857
(1a) Michaelis-Menten (Rook) 0.120907926845849
(1b) Michaelis-Menten + Exponential (Rook) 0.888400819966546
(2) Brody 1923 0.376910626682653
(3) Brody 1924 0.188186754773245
(4) Schumacher 0.113371144228218
(4a) Schumacher (Lopez) 0.11942047511924
(5) Parabolic Exponential (Sikka, Adediran) 0.416719426156101
(6) Wood 0.0945687400149908
(6a) Wood (Dhanoa) 0.0945675865370632
(6b) Wood (Cappio-Borlino) 0.0945687400149908
(7) Quadratic Polynomial (Dave) 0.433923085756488
(8) Cobby & Le Du 0.178461322299577
(9) Papajcsik and Bodero 1 0.200568137476301
(10) Papajcsik and Bodero 2 0.131291888745987
(11) Papajcsik and Bodero 3 0.0912436397755266
(12) Papajcsik and Bodero 4 Error
(13) Papajcsik and Bodero 6 0.11855566849671
(14) Mixed log model 1 (Guo & Swalve) 0.0754771858168258
(15) Mixed log model 3 (Guo & Swalve) 0.0754587911044452
(16) Log-quadratic (Adediran) 0.127507857349327
(17) Wilmink 0.0700474831897503
(17a) Wilmink (Kheidirabadi) 0.0700474831900904
(17b) Wilmink (Laurenson & Strucken) 0.0700474836639606
(18) Bicompartemental (Ferguson & Boston) 0.0686020509894707
(19) Dijkstra 0.0695794452553247
(20) Morant & Gnanasakthy (Pollott) 0.0945507366423079
(21) Morant & Gnanasakthy (Vargas) 0.0945507665758119
(22) Morant & Gnanasakthy (Adediran) 0.0945507407251586
(23) Khandekar (Guo & Swalve) 0.0722714602242768
(24) Ali & Schaeffer 0.07151127366371
(25) Fractional Polynomial (Elvira) 0.0717294833211233
(26) Pollott multiplicative reduced (Elvira) 0.419625702485283
(27) Pollott modified (Adediran) 0.0726632279080515
(28) Monophasic Grossman 0.473709438060085
(29) Monophasic Grossman power 0.0684870730599199
(30) Diphasic Grossman 0.192921048447174
(31) Diphasic Grossman power Error
(32) Legendre Polynomial 3th (Jacobson) 0.223331004480023
(33) Legendre Polynomial 4th (Jacobson) 0.263961612836572
(34) Legendre + Wilmink (Lindauer) 0.512539688210252
(35) Natural Cubic Spline (3 percentiles) 0.268364610464506
(36) Natural Cubic Spline (4 percentiles) 0.197670889599442
(37) Natural Cubic Spline (5 percentiles) 0.175371961161375
(38) Natural Cubic Spline (defined Harrell) 0.126652662421459
RSS RSD
(1) Michaelis-Menten 904.810675804671 3.59525615182139
(1a) Michaelis-Menten (Rook) 39399.5234846478 23.7244670223584
(1b) Michaelis-Menten + Exponential (Rook) 15752.5770509445 15.2202347178626
(2) Brody 1923 499.624089843556 2.67160756806929
(3) Brody 1924 335.261834433826 2.20428382149569
(4) Schumacher 904.746696204803 3.59512903842487
(4a) Schumacher (Lopez) 905.202563404115 3.59603464826013
(5) Parabolic Exponential (Sikka, Adediran) 392.089149791993 2.38378930408305
(6) Wood 299.337364581289 2.08284005028978
(6a) Wood (Dhanoa) 299.337364586366 2.08284005030745
(6b) Wood (Cappio-Borlino) 299.337364581289 2.08284005028978
(7) Quadratic Polynomial (Dave) 402.461995414027 2.41511543041576
(8) Cobby & Le Du 325.029435875575 2.17038511200861
(9) Papajcsik and Bodero 1 332.886642367757 2.19646172110655
(10) Papajcsik and Bodero 2 307.38085856226 2.11063854120666
(11) Papajcsik and Bodero 3 302.444632573872 2.09362258885141
(12) Papajcsik and Bodero 4 Error Error
(13) Papajcsik and Bodero 6 307.290369921792 2.1103278470548
(14) Mixed log model 1 (Guo & Swalve) 294.855175489016 2.06718731925394
(15) Mixed log model 3 (Guo & Swalve) 294.85511667917 2.08233154349797
(16) Log-quadratic (Adediran) 316.638425053817 2.14218642558004
(17) Wilmink 293.681442214943 2.07818303776521
(17a) Wilmink (Kheidirabadi) 293.681442214943 2.07818303776521
(17b) Wilmink (Laurenson & Strucken) 293.681442214888 2.07818303776502
(18) Bicompartemental (Ferguson & Boston) 294.728021418918 2.08188270781563
(19) Dijkstra 295.024336609106 2.08292899193132
(20) Morant & Gnanasakthy (Pollott) 298.696631739025 2.09585245796881
(21) Morant & Gnanasakthy (Vargas) 298.696631739038 2.09585245796885
(22) Morant & Gnanasakthy (Adediran) 298.696631739026 2.09585245796881
(23) Khandekar (Guo & Swalve) 294.239673494353 2.09562327669507
(24) Ali & Schaeffer 294.573697182014 2.09681242508723
(25) Fractional Polynomial (Elvira) 294.513352107866 2.09659764219359
(26) Pollott multiplicative reduced (Elvira) 471.388046261269 2.59501733069156
(27) Pollott modified (Adediran) 294.012017090287 2.07935233514686
(28) Monophasic Grossman 423.834181206612 2.47841166179334
(29) Monophasic Grossman power 294.440845295953 2.08086819160245
(30) Diphasic Grossman 312.438632567722 2.17575703498082
(31) Diphasic Grossman power Error Error
(32) Legendre Polynomial 3th (Jacobson) 506.595353043187 2.72945629428277
(33) Legendre Polynomial 4th (Jacobson) 368.593320402247 2.34550481598836
(34) Legendre + Wilmink (Lindauer) 309.777268294896 2.1502421533014
(35) Natural Cubic Spline (3 percentiles) 337.23411586022 2.24351175901512
(36) Natural Cubic Spline (4 percentiles) 318.040234927735 2.19517458036918
(37) Natural Cubic Spline (5 percentiles) 310.459522143355 2.18547485473226
(38) Natural Cubic Spline (defined Harrell) 300.359718282967 2.14963223431704
F
(1) Michaelis-Menten 2684.92711174352
(1a) Michaelis-Menten (Rook) 2.44870828360012
(1b) Michaelis-Menten + Exponential (Rook) 9.92013693641833
(2) Brody 1923 2.32868290403844
(3) Brody 1924 1.59480373828494
(4) Schumacher 1982.98898809965
(4a) Schumacher (Lopez) 1574592.93799996
(5) Parabolic Exponential (Sikka, Adediran) 1.72776928412965
(6) Wood 1.48491580214141
(6a) Wood (Dhanoa) 1.48491680967084
(6b) Wood (Cappio-Borlino) 1.48491580214141
(7) Quadratic Polynomial (Dave) 1.80053545132517
(8) Cobby & Le Du 1.53977071806507
(9) Papajcsik and Bodero 1 1.5246425986356
(10) Papajcsik and Bodero 2 1.49924378041851
(11) Papajcsik and Bodero 3 1.47739794556214
(12) Papajcsik and Bodero 4 Error
(13) Papajcsik and Bodero 6 1.52455610467793
(14) Mixed log model 1 (Guo & Swalve) 1.48309355105935
(15) Mixed log model 3 (Guo & Swalve) 1.48309338532961
(16) Log-quadratic (Adediran) 1.55528649308585
(17) Wilmink 1.48024705414015
(17a) Wilmink (Kheidirabadi) 1.48024705414675
(17b) Wilmink (Laurenson & Strucken) 1.4802469910504
(18) Bicompartemental (Ferguson & Boston) 1.48757318615145
(19) Dijkstra 1.4898325173184
(20) Morant & Gnanasakthy (Pollott) 1.48763257781624
(21) Morant & Gnanasakthy (Vargas) 1.48763225684594
(22) Morant & Gnanasakthy (Adediran) 1.48763256839261
(23) Khandekar (Guo & Swalve) 1.48159941277281
(24) Ali & Schaeffer 1.48240990203685
(25) Fractional Polynomial (Elvira) 1.48226342848138
(26) Pollott multiplicative reduced (Elvira) 2.04634163966626
(27) Pollott modified (Adediran) 1.48227134819178
(28) Monophasic Grossman 1.86051164726256
(29) Monophasic Grossman power 1.48470825086781
(30) Diphasic Grossman 1.53309071656495
(31) Diphasic Grossman power Error
(32) Legendre Polynomial 3th (Jacobson) 2.27091165909409
(33) Legendre Polynomial 4th (Jacobson) 1.68689254192379
(34) Legendre + Wilmink (Lindauer) 1.55188368247304
(35) Natural Cubic Spline (3 percentiles) 1.59375435842536
(36) Natural Cubic Spline (4 percentiles) 1.54165582105096
(37) Natural Cubic Spline (5 percentiles) 1.52200559098372
(38) Natural Cubic Spline (defined Harrell) 1.49659082080068
R2 R2adj
(1) Michaelis-Menten
(1a) Michaelis-Menten (Rook)
(1b) Michaelis-Menten + Exponential (Rook)
(2) Brody 1923
(3) Brody 1924
(4) Schumacher
(4a) Schumacher (Lopez)
(5) Parabolic Exponential (Sikka, Adediran)
(6) Wood
(6a) Wood (Dhanoa)
(6b) Wood (Cappio-Borlino)
(7) Quadratic Polynomial (Dave)
(8) Cobby & Le Du
(9) Papajcsik and Bodero 1
(10) Papajcsik and Bodero 2
(11) Papajcsik and Bodero 3
(12) Papajcsik and Bodero 4 Error Error
(13) Papajcsik and Bodero 6
(14) Mixed log model 1 (Guo & Swalve) 0.664824755174452
(15) Mixed log model 3 (Guo & Swalve)
(16) Log-quadratic (Adediran)
(17) Wilmink
(17a) Wilmink (Kheidirabadi)
(17b) Wilmink (Laurenson & Strucken) 0.67556296308131
(18) Bicompartemental (Ferguson & Boston)
(19) Dijkstra
(20) Morant & Gnanasakthy (Pollott)
(21) Morant & Gnanasakthy (Vargas)
(22) Morant & Gnanasakthy (Adediran)
(23) Khandekar (Guo & Swalve)
(24) Ali & Schaeffer
(25) Fractional Polynomial (Elvira)
(26) Pollott multiplicative reduced (Elvira)
(27) Pollott modified (Adediran)
(28) Monophasic Grossman
(29) Monophasic Grossman power
(30) Diphasic Grossman
(31) Diphasic Grossman power Error Error
(32) Legendre Polynomial 3th (Jacobson)
(33) Legendre Polynomial 4th (Jacobson)
(34) Legendre + Wilmink (Lindauer)
(35) Natural Cubic Spline (3 percentiles)
(36) Natural Cubic Spline (4 percentiles)
(37) Natural Cubic Spline (5 percentiles)
(38) Natural Cubic Spline (defined Harrell)
RSE logL
(1) Michaelis-Menten
(1a) Michaelis-Menten (Rook)
(1b) Michaelis-Menten + Exponential (Rook)
(2) Brody 1923
(3) Brody 1924
(4) Schumacher
(4a) Schumacher (Lopez)
(5) Parabolic Exponential (Sikka, Adediran)
(6) Wood
(6a) Wood (Dhanoa)
(6b) Wood (Cappio-Borlino)
(7) Quadratic Polynomial (Dave)
(8) Cobby & Le Du
(9) Papajcsik and Bodero 1
(10) Papajcsik and Bodero 2
(11) Papajcsik and Bodero 3
(12) Papajcsik and Bodero 4 Error Error
(13) Papajcsik and Bodero 6
(14) Mixed log model 1 (Guo & Swalve) 2.06718731925394
(15) Mixed log model 3 (Guo & Swalve)
(16) Log-quadratic (Adediran)
(17) Wilmink
(17a) Wilmink (Kheidirabadi)
(17b) Wilmink (Laurenson & Strucken) -152.773437506679
(18) Bicompartemental (Ferguson & Boston)
(19) Dijkstra
(20) Morant & Gnanasakthy (Pollott)
(21) Morant & Gnanasakthy (Vargas)
(22) Morant & Gnanasakthy (Adediran)
(23) Khandekar (Guo & Swalve)
(24) Ali & Schaeffer
(25) Fractional Polynomial (Elvira)
(26) Pollott multiplicative reduced (Elvira)
(27) Pollott modified (Adediran)
(28) Monophasic Grossman
(29) Monophasic Grossman power
(30) Diphasic Grossman
(31) Diphasic Grossman power Error Error
(32) Legendre Polynomial 3th (Jacobson)
(33) Legendre Polynomial 4th (Jacobson)
(34) Legendre + Wilmink (Lindauer)
(35) Natural Cubic Spline (3 percentiles)
(36) Natural Cubic Spline (4 percentiles)
(37) Natural Cubic Spline (5 percentiles)
(38) Natural Cubic Spline (defined Harrell)
AIC AICC
(1) Michaelis-Menten
(1a) Michaelis-Menten (Rook)
(1b) Michaelis-Menten + Exponential (Rook)
(2) Brody 1923
(3) Brody 1924
(4) Schumacher
(4a) Schumacher (Lopez)
(5) Parabolic Exponential (Sikka, Adediran)
(6) Wood
(6a) Wood (Dhanoa)
(6b) Wood (Cappio-Borlino)
(7) Quadratic Polynomial (Dave)
(8) Cobby & Le Du
(9) Papajcsik and Bodero 1
(10) Papajcsik and Bodero 2
(11) Papajcsik and Bodero 3
(12) Papajcsik and Bodero 4 Error Error
(13) Papajcsik and Bodero 6
(14) Mixed log model 1 (Guo & Swalve) 313.834058190191 310.167391523525
(15) Mixed log model 3 (Guo & Swalve)
(16) Log-quadratic (Adediran)
(17) Wilmink
(17a) Wilmink (Kheidirabadi)
(17b) Wilmink (Laurenson & Strucken)
(18) Bicompartemental (Ferguson & Boston)
(19) Dijkstra
(20) Morant & Gnanasakthy (Pollott)
(21) Morant & Gnanasakthy (Vargas)
(22) Morant & Gnanasakthy (Adediran)
(23) Khandekar (Guo & Swalve)
(24) Ali & Schaeffer
(25) Fractional Polynomial (Elvira)
(26) Pollott multiplicative reduced (Elvira)
(27) Pollott modified (Adediran)
(28) Monophasic Grossman
(29) Monophasic Grossman power
(30) Diphasic Grossman
(31) Diphasic Grossman power Error Error
(32) Legendre Polynomial 3th (Jacobson)
(33) Legendre Polynomial 4th (Jacobson)
(34) Legendre + Wilmink (Lindauer)
(35) Natural Cubic Spline (3 percentiles)
(36) Natural Cubic Spline (4 percentiles)
(37) Natural Cubic Spline (5 percentiles)
(38) Natural Cubic Spline (defined Harrell)
BIC DW
(1) Michaelis-Menten
(1a) Michaelis-Menten (Rook)
(1b) Michaelis-Menten + Exponential (Rook) 0.888400819966546
(2) Brody 1923
(3) Brody 1924
(4) Schumacher
(4a) Schumacher (Lopez)
(5) Parabolic Exponential (Sikka, Adediran)
(6) Wood
(6a) Wood (Dhanoa)
(6b) Wood (Cappio-Borlino)
(7) Quadratic Polynomial (Dave)
(8) Cobby & Le Du
(9) Papajcsik and Bodero 1
(10) Papajcsik and Bodero 2
(11) Papajcsik and Bodero 3
(12) Papajcsik and Bodero 4 Error Error
(13) Papajcsik and Bodero 6
(14) Mixed log model 1 (Guo & Swalve) 322.940722666256
(15) Mixed log model 3 (Guo & Swalve)
(16) Log-quadratic (Adediran)
(17) Wilmink
(17a) Wilmink (Kheidirabadi)
(17b) Wilmink (Laurenson & Strucken)
(18) Bicompartemental (Ferguson & Boston)
(19) Dijkstra
(20) Morant & Gnanasakthy (Pollott)
(21) Morant & Gnanasakthy (Vargas)
(22) Morant & Gnanasakthy (Adediran)
(23) Khandekar (Guo & Swalve)
(24) Ali & Schaeffer
(25) Fractional Polynomial (Elvira)
(26) Pollott multiplicative reduced (Elvira)
(27) Pollott modified (Adediran)
(28) Monophasic Grossman
(29) Monophasic Grossman power
(30) Diphasic Grossman
(31) Diphasic Grossman power Error Error
(32) Legendre Polynomial 3th (Jacobson)
(33) Legendre Polynomial 4th (Jacobson)
(34) Legendre + Wilmink (Lindauer)
(35) Natural Cubic Spline (3 percentiles)
(36) Natural Cubic Spline (4 percentiles)
(37) Natural Cubic Spline (5 percentiles)
(38) Natural Cubic Spline (defined Harrell)
$R2
nls(formula = trait ~ a + (b - a) * (1 - e^(-k * dim)) - c *
dim, data = x, start = list(a = 20, b = 30, c = 0.005, k = 0.08),
control = list(maxiter = 100, tol = 1e-05, minFactor = 0.0009765625,
printEval = FALSE, warnOnly = TRUE), na.action = na.exclude,
algorithm = "default", trace = FALSE)
$R2adj
nls(formula = trait ~ a + b * dim^0.5 + c * log(dim), data = x,
start = list(a = 18.28, b = -1.58, c = 4.33), control = list(
maxiter = 100, tol = 1e-05, minFactor = 0.0009765625,
printEval = FALSE, warnOnly = TRUE), na.action = na.exclude,
algorithm = "default", trace = FALSE)
$RSE
nls(formula = trait ~ a + b * dim^0.5 + c * log(dim), data = x,
start = list(a = 18.28, b = -1.58, c = 4.33), control = list(
maxiter = 100, tol = 1e-05, minFactor = 0.0009765625,
printEval = FALSE, warnOnly = TRUE), na.action = na.exclude,
algorithm = "default", trace = FALSE)
$logL
nls(formula = trait ~ a + (b - a) * (1 - e^(-k * dim)) - c *
dim, data = x, start = list(a = 20, b = 30, c = 0.005, k = 0.08),
control = list(maxiter = 100, tol = 1e-05, minFactor = 0.0009765625,
printEval = FALSE, warnOnly = TRUE), na.action = na.exclude,
algorithm = "default", trace = FALSE)
$AIC
nls(formula = trait ~ a + b * dim^0.5 + c * log(dim), data = x,
start = list(a = 18.28, b = -1.58, c = 4.33), control = list(
maxiter = 100, tol = 1e-05, minFactor = 0.0009765625,
printEval = FALSE, warnOnly = TRUE), na.action = na.exclude,
algorithm = "default", trace = FALSE)
$AICC
nls(formula = trait ~ a + b * dim^0.5 + c * log(dim), data = x,
start = list(a = 18.28, b = -1.58, c = 4.33), control = list(
maxiter = 100, tol = 1e-05, minFactor = 0.0009765625,
printEval = FALSE, warnOnly = TRUE), na.action = na.exclude,
algorithm = "default", trace = FALSE)
$BIC
nls(formula = trait ~ a + b * dim^0.5 + c * log(dim), data = x,
start = list(a = 18.28, b = -1.58, c = 4.33), control = list(
maxiter = 100, tol = 1e-05, minFactor = 0.0009765625,
printEval = FALSE, warnOnly = TRUE), na.action = na.exclude,
algorithm = "default", trace = FALSE)
$DW
nls(formula = trait ~ a * (1/(1 + b/(c + dim))) * e^(-d * dim),
data = x, start = list(a = -0.06608, b = 317.49, c = -328.06,
d = -0.027), control = list(maxiter = 100, tol = 1e-05,
minFactor = 0.0009765625, printEval = FALSE, warnOnly = TRUE),
na.action = na.exclude, algorithm = "default", trace = FALSE)
(12) Papajcsik and Bodero 4 (31) Diphasic Grossman power
"Missing value or infinity produced" "singular gradient"
NULL
NULL
NULL
lactcurves documentation built on Jan. 16, 2021, 5:19 p.m.
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Description Usage Arguments Value Citation Note Author(s) Examples
Description
AllCurves runs multiple lactation curve models and extracts selection criteria (RSE, R2, log likelihood, AIC, AICC, and BIC) for each model.
Usage
1 |
Arguments
x |
data frame containing londitudinal trait records and time points of record collection |
trait |
specifies the column containing longitudinal trait records |
dim |
specifies the column containing time points |
Value
Output
modelnames |
provides names and order number of models |
model |
gives model equation, default starting parameters, and other model specifications |
critall |
gives selection criteria for all models sorted from best to worst accroding to specified criteria |
modeldescrip |
gives RSS, RSD, and F-value for each model |
critbest |
gives all selection criteria for best model |
bestmodel |
gives model equation for best model for each selection criterion |
Error |
gives a Warning if model failed to converge |
ModelParam |
gives a list of three tables containing the converged model parameters |
summary* |
gives the summary of a particular model. summary1 for example give the summary of the first model by Michaelis and Menten |
Citation
Strucken, E.M. (2021). lactcurves: Lactation Curve Parameter Estimation. R package version 1.1.0
Note
lactcurved requires installation of packages polynom, orthopolynom, and splines.
In general, if a lactation curve model is linear, it can be fitted directly in a test-day (TD) model. If lactation curve model is non-linear, parameters need to be estimated first and then fitted in a TD model with other fixed and random effects if required.
In lactcurves, starting parameters (defined in start) have been optimized across the first three lactations of 1.7 million Holstein Friesian dairy cows. If a lactation curve model fails to converge with other data, it is recommended to extract the model code and optimize the start values for the new data.
Author(s)
Eva M. Strucken
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 | ## create data set for 3 individuals with milk yield records on 24 days
ID=c(rep("ID123",24),rep("ID456",24),rep("ID789",24))
dim=as.integer(rep(seq(from=5, to=340, by=14),3))
mkg=as.numeric(c(23.4,28.3,30.5,31.3,31.5,31.3,30.9,30.5,30.1,29.6,29.1,28.7,28.2,27.7,27.2,26.7,
26.2,25.7,25.2,24.7,24.2,23.7,23.2,22.8,
21.3,25.7,26.9,27.2,26.9,26.5,26.1,25.6,25.1,24.6,24.1,23.6,23.1,22.6,22.1,21.6,21.1,20.6,20.1,
19.6,19.1,18.6,18.1,17.6,
22.0,26.5,28.1,28.4,28.2,27.9,27.4,26.9,26.4,25.9,25.4,24.9,24.4,23.9,23.4,22.9,22.4,21.9,21.4,
20.9,20.4,19.9,19.4,18.9))
data=cbind.data.frame(ID,dim,mkg)
## run example
library(polynom)
library(orthopolynom)
library(splines)
output=AllCurves(data,mkg,dim)
output$critall
output$modeldescrip
output$critbest
output$bestmodel
output$Error
output$ModelParam
output$summary17b
## plot curve
# set the number of days to consider
dim=c(1:340)
# look up the model and its estimated parameters
output$summary17b
# use model and parameters to plot curve
plot(19.293701+(31.358471-19.293701)*(1-exp(1)^(-0.059874*dim))-0.035495*dim)
|
Example output
Loading required package: orthopolynom
Loading required package: polynom
Loading required package: splines
(12) Papajcsik and Bodero 4 (31) Diphasic Grossman power
"Missing value or infinity produced" "singular gradient"
There were 50 or more warnings (use warnings() to see the first 50)
R2
(1) Michaelis-Menten 0.000436136945130494
(1a) Michaelis-Menten (Rook) 0.0289724217151872
(1b) Michaelis-Menten + Exponential (Rook) 0.0542874808895229
(2) Brody 1923 0.448256884723914
(3) Brody 1924 0.629630804183949
(4) Schumacher 0.000504304715927073
(4a) Schumacher (Lopez) 6.98640789966972e-07
(5) Parabolic Exponential (Sikka, Adediran) 0.566911783624342
(6) Wood 0.669321128600804
(6a) Wood (Dhanoa) 0.669321127136878
(6b) Wood (Cappio-Borlino) 0.669321128600804
(7) Quadratic Polynomial (Dave) 0.555390438429652
(8) Cobby & Le Du 0.640960351521598
(9) Papajcsik and Bodero 1 0.632467827759599
(10) Papajcsik and Bodero 2 0.660445302662788
(11) Papajcsik and Bodero 3 0.665927223050748
(12) Papajcsik and Bodero 4 Error
(13) Papajcsik and Bodero 6 0.660537023523981
(14) Mixed log model 1 (Guo & Swalve) 0.674266311366721
(15) Mixed log model 3 (Guo & Swalve) 0.674266376335389
(16) Log-quadratic (Adediran) 0.650222438411305
(17) Wilmink 0.675562963081251
(17a) Wilmink (Kheidirabadi) 0.675562963081251
(17b) Wilmink (Laurenson & Strucken) 0.67556296308131
(18) Bicompartemental (Ferguson & Boston) 0.67440855840462
(19) Dijkstra 0.674082529959148
(20) Morant & Gnanasakthy (Pollott) 0.670024363428723
(21) Morant & Gnanasakthy (Vargas) 0.670024363667883
(22) Morant & Gnanasakthy (Adediran) 0.670024363435728
(23) Khandekar (Guo & Swalve) 0.674946271400491
(24) Ali & Schaeffer 0.674577267303169
(25) Fractional Polynomial (Elvira) 0.674643931975275
(26) Pollott multiplicative reduced (Elvira) 0.479292102806952
(27) Pollott modified (Adediran) 0.675197885716652
(28) Monophasic Grossman 0.531795376490423
(29) Monophasic Grossman power 0.674724565530623
(30) Diphasic Grossman 0.654843991310803
(31) Diphasic Grossman power Error
(32) Legendre Polynomial 3th (Jacobson) 0.44035178382893
(33) Legendre Polynomial 4th (Jacobson) 0.592805988020771
(34) Legendre + Wilmink (Lindauer) 0.65785213762452
(35) Natural Cubic Spline (3 percentiles) 0.627449264507741
(36) Natural Cubic Spline (4 percentiles) 0.648653211920084
(37) Natural Cubic Spline (5 percentiles) 0.65702780983457
(38) Natural Cubic Spline (defined Harrell) 0.668185308971089
R2adj
(1) Michaelis-Menten -0.0138433468127963
(1a) Michaelis-Menten (Rook) 0.0151005991682612
(1b) Michaelis-Menten + Exponential (Rook) 0.012564869752296
(2) Brody 1923 0.44037484021997
(3) Brody 1924 0.618895465174788
(4) Schumacher -0.0137742052167025
(4a) Schumacher (Lopez) -0.0142850056643415
(5) Parabolic Exponential (Sikka, Adediran) 0.554358501990265
(6) Wood 0.659736233777638
(6a) Wood (Dhanoa) 0.659736232271281
(6b) Wood (Cappio-Borlino) 0.659736233777638
(7) Quadratic Polynomial (Dave) 0.542503204760946
(8) Cobby & Le Du 0.630553405188891
(9) Papajcsik and Bodero 1 0.621814721317848
(10) Papajcsik and Bodero 2 0.650603137522579
(11) Papajcsik and Bodero 3 0.656243954153668
(12) Papajcsik and Bodero 4 Error
(13) Papajcsik and Bodero 6 0.650697516959459
(14) Mixed log model 1 (Guo & Swalve) 0.664824755174452
(15) Mixed log model 3 (Guo & Swalve) 0.659895775291362
(16) Log-quadratic (Adediran) 0.640083958365256
(17) Wilmink 0.66124956439366
(17a) Wilmink (Kheidirabadi) 0.661249564393659
(17b) Wilmink (Laurenson & Strucken) 0.661249564393721
(18) Bicompartemental (Ferguson & Boston) 0.660044230098941
(19) Dijkstra 0.659703818045581
(20) Morant & Gnanasakthy (Pollott) 0.655466614756461
(21) Morant & Gnanasakthy (Vargas) 0.655466615006172
(22) Morant & Gnanasakthy (Adediran) 0.655466614763775
(23) Khandekar (Guo & Swalve) 0.655540078648281
(24) Ali & Schaeffer 0.655149044455597
(25) Fractional Polynomial (Elvira) 0.655219689108127
(26) Pollott multiplicative reduced (Elvira) 0.471853418561337
(27) Pollott modified (Adediran) 0.660868380674739
(28) Monophasic Grossman 0.518224227982899
(29) Monophasic Grossman power 0.660374178715797
(30) Diphasic Grossman 0.628695808834349
(31) Diphasic Grossman power Error
(32) Legendre Polynomial 3th (Jacobson) 0.415661421350794
(33) Legendre Polynomial 4th (Jacobson) 0.568495897753354
(34) Legendre + Wilmink (Lindauer) 0.637425399572252
(35) Natural Cubic Spline (3 percentiles) 0.605207429552979
(36) Natural Cubic Spline (4 percentiles) 0.622036031004938
(37) Natural Cubic Spline (5 percentiles) 0.625368838434684
(38) Natural Cubic Spline (defined Harrell) 0.63755626056842
RSE logL
(1) Michaelis-Menten 3.59525615182139 -193.281720163285
(1a) Michaelis-Menten (Rook) 23.7244670223584 -329.137918139084
(1b) Michaelis-Menten + Exponential (Rook) 15.2202347178626 -296.134927219605
(2) Brody 1923 2.67160756806929 -171.902409938783
(3) Brody 1924 2.20428382149569 -157.540419693239
(4) Schumacher 3.59512903842487 -193.279174495895
(4a) Schumacher (Lopez) 3.59603464826013 -193.297308948489
(5) Parabolic Exponential (Sikka, Adediran) 2.38378930408305 -163.17720663357
(6) Wood 2.08284005028978 -153.460158996869
(6a) Wood (Dhanoa) 2.08284005030745 -153.46015899748
(6b) Wood (Cappio-Borlino) 2.08284005028978 -153.460158996869
(7) Quadratic Polynomial (Dave) 2.41511543041576 -164.117218264644
(8) Cobby & Le Du 2.17038511200861 -156.424561111673
(9) Papajcsik and Bodero 1 2.19646172110655 -157.284466779958
(10) Papajcsik and Bodero 2 2.11063854120666 -154.414746278315
(11) Papajcsik and Bodero 3 2.09362258885141 -153.831930310728
(12) Papajcsik and Bodero 4 Error Error
(13) Papajcsik and Bodero 6 2.1103278470548 -154.404146819842
(14) Mixed log model 1 (Guo & Swalve) 2.06718731925394 -152.917029095096
(15) Mixed log model 3 (Guo & Swalve) 2.08233154349797 -152.917021914775
(16) Log-quadratic (Adediran) 2.14218642558004 -155.482972390874
(17) Wilmink 2.07818303776521 -152.773437506686
(17a) Wilmink (Kheidirabadi) 2.07818303776521 -152.773437506686
(17b) Wilmink (Laurenson & Strucken) 2.07818303776502 -152.773437506679
(18) Bicompartemental (Ferguson & Boston) 2.08188270781563 -152.901501018249
(19) Dijkstra 2.08292899193132 -152.937676703176
(20) Morant & Gnanasakthy (Pollott) 2.09585245796881 -153.383018261428
(21) Morant & Gnanasakthy (Vargas) 2.09585245796885 -153.38301826143
(22) Morant & Gnanasakthy (Adediran) 2.09585245796881 -153.383018261428
(23) Khandekar (Guo & Swalve) 2.09562327669507 -152.84180154928
(24) Ali & Schaeffer 2.09681242508723 -152.882645914046
(25) Fractional Polynomial (Elvira) 2.09659764219359 -152.875270356632
(26) Pollott multiplicative reduced (Elvira) 2.59501733069156 -169.808132866373
(27) Pollott modified (Adediran) 2.07935233514686 -152.813937180722
(28) Monophasic Grossman 2.47841166179334 -165.979916786622
(29) Monophasic Grossman power 2.08086819160245 -152.86640635582
(30) Diphasic Grossman 2.17575703498082 -155.00228477408
(31) Diphasic Grossman power Error Error
(32) Legendre Polynomial 3th (Jacobson) 2.72945629428277 -172.401246435116
(33) Legendre Polynomial 4th (Jacobson) 2.34550481598836 -160.952575353478
(34) Legendre + Wilmink (Lindauer) 2.1502421533014 -154.694321901504
(35) Natural Cubic Spline (3 percentiles) 2.24351175901512 -157.751580325174
(36) Natural Cubic Spline (4 percentiles) 2.19517458036918 -155.641998495595
(37) Natural Cubic Spline (5 percentiles) 2.18547485473226 -154.773521164847
(38) Natural Cubic Spline (defined Harrell) 2.14963223431704 -153.582903528958
AIC AICC
(1) Michaelis-Menten 392.563440326571 389.730106993237
(1a) Michaelis-Menten (Rook) 664.275836278169 661.442502944835
(1b) Michaelis-Menten + Exponential (Rook) 602.269854439211 597.825409994766
(2) Brody 1923 349.804819877566 346.971486544233
(3) Brody 1924 323.080839386479 319.414172719812
(4) Schumacher 392.558348991791 389.725015658457
(4a) Schumacher (Lopez) 392.594617896977 389.761284563644
(5) Parabolic Exponential (Sikka, Adediran) 334.35441326714 330.687746600473
(6) Wood 314.920317993739 311.253651327072
(6a) Wood (Dhanoa) 314.92031799496 311.253651328293
(6b) Wood (Cappio-Borlino) 314.920317993739 311.253651327072
(7) Quadratic Polynomial (Dave) 336.234436529287 332.567769862621
(8) Cobby & Le Du 320.849122223347 317.18245555668
(9) Papajcsik and Bodero 1 322.568933559915 318.902266893248
(10) Papajcsik and Bodero 2 316.829492556629 313.162825889963
(11) Papajcsik and Bodero 3 315.663860621455 311.997193954789
(12) Papajcsik and Bodero 4 Error Error
(13) Papajcsik and Bodero 6 316.808293639683 313.141626973017
(14) Mixed log model 1 (Guo & Swalve) 313.834058190191 310.167391523525
(15) Mixed log model 3 (Guo & Swalve) 315.83404382955 311.389599385106
(16) Log-quadratic (Adediran) 318.965944781748 315.299278115081
(17) Wilmink 315.546875013372 311.102430568928
(17a) Wilmink (Kheidirabadi) 315.546875013372 311.102430568928
(17b) Wilmink (Laurenson & Strucken) 315.546875013359 311.102430568914
(18) Bicompartemental (Ferguson & Boston) 315.803002036498 311.358557592054
(19) Dijkstra 315.875353406352 311.430908961907
(20) Morant & Gnanasakthy (Pollott) 316.766036522857 312.321592078412
(21) Morant & Gnanasakthy (Vargas) 316.76603652286 312.321592078415
(22) Morant & Gnanasakthy (Adediran) 316.766036522857 312.321592078412
(23) Khandekar (Guo & Swalve) 317.68360309856 312.516936431893
(24) Ali & Schaeffer 317.765291828093 312.598625161426
(25) Fractional Polynomial (Elvira) 317.750540713265 312.583874046598
(26) Pollott multiplicative reduced (Elvira) 345.616265732746 342.782932399412
(27) Pollott modified (Adediran) 315.627874361444 311.183429917
(28) Monophasic Grossman 339.959833573244 336.293166906578
(29) Monophasic Grossman power 315.732812711641 311.288368267196
(30) Diphasic Grossman 324.004569548159 318.171236214826
(31) Diphasic Grossman power Error Error
(32) Legendre Polynomial 3th (Jacobson) 354.802492870232 350.358048425787
(33) Legendre Polynomial 4th (Jacobson) 333.905150706956 328.73848404029
(34) Legendre + Wilmink (Lindauer) 321.388643803007 316.22197713634
(35) Natural Cubic Spline (3 percentiles) 327.503160650348 322.336493983681
(36) Natural Cubic Spline (4 percentiles) 325.283996991189 319.450663657856
(37) Natural Cubic Spline (5 percentiles) 325.547042329694 319.10259788525
(38) Natural Cubic Spline (defined Harrell) 323.165807057916 316.721362613471
BIC
(1) Michaelis-Menten 399.393438683619
(1a) Michaelis-Menten (Rook) 671.105834635217
(1b) Michaelis-Menten + Exponential (Rook) 613.653185034291
(2) Brody 1923 356.634818234614
(3) Brody 1924 332.187503862543
(4) Schumacher 399.388347348839
(4a) Schumacher (Lopez) 399.424616254025
(5) Parabolic Exponential (Sikka, Adediran) 343.461077743204
(6) Wood 324.026982469803
(6a) Wood (Dhanoa) 324.026982471024
(6b) Wood (Cappio-Borlino) 324.026982469803
(7) Quadratic Polynomial (Dave) 345.341101005352
(8) Cobby & Le Du 329.955786699411
(9) Papajcsik and Bodero 1 331.675598035979
(10) Papajcsik and Bodero 2 325.936157032693
(11) Papajcsik and Bodero 3 324.77052509752
(12) Papajcsik and Bodero 4 Error
(13) Papajcsik and Bodero 6 325.914958115748
(14) Mixed log model 1 (Guo & Swalve) 322.940722666256
(15) Mixed log model 3 (Guo & Swalve) 327.217374424631
(16) Log-quadratic (Adediran) 328.072609257812
(17) Wilmink 326.930205608452
(17a) Wilmink (Kheidirabadi) 326.930205608452
(17b) Wilmink (Laurenson & Strucken) 326.930205608439
(18) Bicompartemental (Ferguson & Boston) 327.186332631578
(19) Dijkstra 327.258684001432
(20) Morant & Gnanasakthy (Pollott) 328.149367117937
(21) Morant & Gnanasakthy (Vargas) 328.14936711794
(22) Morant & Gnanasakthy (Adediran) 328.149367117937
(23) Khandekar (Guo & Swalve) 331.343599812656
(24) Ali & Schaeffer 331.425288542189
(25) Fractional Polynomial (Elvira) 331.410537427361
(26) Pollott multiplicative reduced (Elvira) 352.446264089794
(27) Pollott modified (Adediran) 327.011204956525
(28) Monophasic Grossman 349.066498049309
(29) Monophasic Grossman power 327.116143306721
(30) Diphasic Grossman 339.941232381271
(31) Diphasic Grossman power Error
(32) Legendre Polynomial 3th (Jacobson) 366.185823465312
(33) Legendre Polynomial 4th (Jacobson) 347.565147421053
(34) Legendre + Wilmink (Lindauer) 335.048640517103
(35) Natural Cubic Spline (3 percentiles) 341.163157364444
(36) Natural Cubic Spline (4 percentiles) 341.220659824301
(37) Natural Cubic Spline (5 percentiles) 343.760371281823
(38) Natural Cubic Spline (defined Harrell) 341.379136010044
DW
(1) Michaelis-Menten 0.114200878349857
(1a) Michaelis-Menten (Rook) 0.120907926845849
(1b) Michaelis-Menten + Exponential (Rook) 0.888400819966546
(2) Brody 1923 0.376910626682653
(3) Brody 1924 0.188186754773245
(4) Schumacher 0.113371144228218
(4a) Schumacher (Lopez) 0.11942047511924
(5) Parabolic Exponential (Sikka, Adediran) 0.416719426156101
(6) Wood 0.0945687400149908
(6a) Wood (Dhanoa) 0.0945675865370632
(6b) Wood (Cappio-Borlino) 0.0945687400149908
(7) Quadratic Polynomial (Dave) 0.433923085756488
(8) Cobby & Le Du 0.178461322299577
(9) Papajcsik and Bodero 1 0.200568137476301
(10) Papajcsik and Bodero 2 0.131291888745987
(11) Papajcsik and Bodero 3 0.0912436397755266
(12) Papajcsik and Bodero 4 Error
(13) Papajcsik and Bodero 6 0.11855566849671
(14) Mixed log model 1 (Guo & Swalve) 0.0754771858168258
(15) Mixed log model 3 (Guo & Swalve) 0.0754587911044452
(16) Log-quadratic (Adediran) 0.127507857349327
(17) Wilmink 0.0700474831897503
(17a) Wilmink (Kheidirabadi) 0.0700474831900904
(17b) Wilmink (Laurenson & Strucken) 0.0700474836639606
(18) Bicompartemental (Ferguson & Boston) 0.0686020509894707
(19) Dijkstra 0.0695794452553247
(20) Morant & Gnanasakthy (Pollott) 0.0945507366423079
(21) Morant & Gnanasakthy (Vargas) 0.0945507665758119
(22) Morant & Gnanasakthy (Adediran) 0.0945507407251586
(23) Khandekar (Guo & Swalve) 0.0722714602242768
(24) Ali & Schaeffer 0.07151127366371
(25) Fractional Polynomial (Elvira) 0.0717294833211233
(26) Pollott multiplicative reduced (Elvira) 0.419625702485283
(27) Pollott modified (Adediran) 0.0726632279080515
(28) Monophasic Grossman 0.473709438060085
(29) Monophasic Grossman power 0.0684870730599199
(30) Diphasic Grossman 0.192921048447174
(31) Diphasic Grossman power Error
(32) Legendre Polynomial 3th (Jacobson) 0.223331004480023
(33) Legendre Polynomial 4th (Jacobson) 0.263961612836572
(34) Legendre + Wilmink (Lindauer) 0.512539688210252
(35) Natural Cubic Spline (3 percentiles) 0.268364610464506
(36) Natural Cubic Spline (4 percentiles) 0.197670889599442
(37) Natural Cubic Spline (5 percentiles) 0.175371961161375
(38) Natural Cubic Spline (defined Harrell) 0.126652662421459
RSS RSD
(1) Michaelis-Menten 904.810675804671 3.59525615182139
(1a) Michaelis-Menten (Rook) 39399.5234846478 23.7244670223584
(1b) Michaelis-Menten + Exponential (Rook) 15752.5770509445 15.2202347178626
(2) Brody 1923 499.624089843556 2.67160756806929
(3) Brody 1924 335.261834433826 2.20428382149569
(4) Schumacher 904.746696204803 3.59512903842487
(4a) Schumacher (Lopez) 905.202563404115 3.59603464826013
(5) Parabolic Exponential (Sikka, Adediran) 392.089149791993 2.38378930408305
(6) Wood 299.337364581289 2.08284005028978
(6a) Wood (Dhanoa) 299.337364586366 2.08284005030745
(6b) Wood (Cappio-Borlino) 299.337364581289 2.08284005028978
(7) Quadratic Polynomial (Dave) 402.461995414027 2.41511543041576
(8) Cobby & Le Du 325.029435875575 2.17038511200861
(9) Papajcsik and Bodero 1 332.886642367757 2.19646172110655
(10) Papajcsik and Bodero 2 307.38085856226 2.11063854120666
(11) Papajcsik and Bodero 3 302.444632573872 2.09362258885141
(12) Papajcsik and Bodero 4 Error Error
(13) Papajcsik and Bodero 6 307.290369921792 2.1103278470548
(14) Mixed log model 1 (Guo & Swalve) 294.855175489016 2.06718731925394
(15) Mixed log model 3 (Guo & Swalve) 294.85511667917 2.08233154349797
(16) Log-quadratic (Adediran) 316.638425053817 2.14218642558004
(17) Wilmink 293.681442214943 2.07818303776521
(17a) Wilmink (Kheidirabadi) 293.681442214943 2.07818303776521
(17b) Wilmink (Laurenson & Strucken) 293.681442214888 2.07818303776502
(18) Bicompartemental (Ferguson & Boston) 294.728021418918 2.08188270781563
(19) Dijkstra 295.024336609106 2.08292899193132
(20) Morant & Gnanasakthy (Pollott) 298.696631739025 2.09585245796881
(21) Morant & Gnanasakthy (Vargas) 298.696631739038 2.09585245796885
(22) Morant & Gnanasakthy (Adediran) 298.696631739026 2.09585245796881
(23) Khandekar (Guo & Swalve) 294.239673494353 2.09562327669507
(24) Ali & Schaeffer 294.573697182014 2.09681242508723
(25) Fractional Polynomial (Elvira) 294.513352107866 2.09659764219359
(26) Pollott multiplicative reduced (Elvira) 471.388046261269 2.59501733069156
(27) Pollott modified (Adediran) 294.012017090287 2.07935233514686
(28) Monophasic Grossman 423.834181206612 2.47841166179334
(29) Monophasic Grossman power 294.440845295953 2.08086819160245
(30) Diphasic Grossman 312.438632567722 2.17575703498082
(31) Diphasic Grossman power Error Error
(32) Legendre Polynomial 3th (Jacobson) 506.595353043187 2.72945629428277
(33) Legendre Polynomial 4th (Jacobson) 368.593320402247 2.34550481598836
(34) Legendre + Wilmink (Lindauer) 309.777268294896 2.1502421533014
(35) Natural Cubic Spline (3 percentiles) 337.23411586022 2.24351175901512
(36) Natural Cubic Spline (4 percentiles) 318.040234927735 2.19517458036918
(37) Natural Cubic Spline (5 percentiles) 310.459522143355 2.18547485473226
(38) Natural Cubic Spline (defined Harrell) 300.359718282967 2.14963223431704
F
(1) Michaelis-Menten 2684.92711174352
(1a) Michaelis-Menten (Rook) 2.44870828360012
(1b) Michaelis-Menten + Exponential (Rook) 9.92013693641833
(2) Brody 1923 2.32868290403844
(3) Brody 1924 1.59480373828494
(4) Schumacher 1982.98898809965
(4a) Schumacher (Lopez) 1574592.93799996
(5) Parabolic Exponential (Sikka, Adediran) 1.72776928412965
(6) Wood 1.48491580214141
(6a) Wood (Dhanoa) 1.48491680967084
(6b) Wood (Cappio-Borlino) 1.48491580214141
(7) Quadratic Polynomial (Dave) 1.80053545132517
(8) Cobby & Le Du 1.53977071806507
(9) Papajcsik and Bodero 1 1.5246425986356
(10) Papajcsik and Bodero 2 1.49924378041851
(11) Papajcsik and Bodero 3 1.47739794556214
(12) Papajcsik and Bodero 4 Error
(13) Papajcsik and Bodero 6 1.52455610467793
(14) Mixed log model 1 (Guo & Swalve) 1.48309355105935
(15) Mixed log model 3 (Guo & Swalve) 1.48309338532961
(16) Log-quadratic (Adediran) 1.55528649308585
(17) Wilmink 1.48024705414015
(17a) Wilmink (Kheidirabadi) 1.48024705414675
(17b) Wilmink (Laurenson & Strucken) 1.4802469910504
(18) Bicompartemental (Ferguson & Boston) 1.48757318615145
(19) Dijkstra 1.4898325173184
(20) Morant & Gnanasakthy (Pollott) 1.48763257781624
(21) Morant & Gnanasakthy (Vargas) 1.48763225684594
(22) Morant & Gnanasakthy (Adediran) 1.48763256839261
(23) Khandekar (Guo & Swalve) 1.48159941277281
(24) Ali & Schaeffer 1.48240990203685
(25) Fractional Polynomial (Elvira) 1.48226342848138
(26) Pollott multiplicative reduced (Elvira) 2.04634163966626
(27) Pollott modified (Adediran) 1.48227134819178
(28) Monophasic Grossman 1.86051164726256
(29) Monophasic Grossman power 1.48470825086781
(30) Diphasic Grossman 1.53309071656495
(31) Diphasic Grossman power Error
(32) Legendre Polynomial 3th (Jacobson) 2.27091165909409
(33) Legendre Polynomial 4th (Jacobson) 1.68689254192379
(34) Legendre + Wilmink (Lindauer) 1.55188368247304
(35) Natural Cubic Spline (3 percentiles) 1.59375435842536
(36) Natural Cubic Spline (4 percentiles) 1.54165582105096
(37) Natural Cubic Spline (5 percentiles) 1.52200559098372
(38) Natural Cubic Spline (defined Harrell) 1.49659082080068
R2 R2adj
(1) Michaelis-Menten
(1a) Michaelis-Menten (Rook)
(1b) Michaelis-Menten + Exponential (Rook)
(2) Brody 1923
(3) Brody 1924
(4) Schumacher
(4a) Schumacher (Lopez)
(5) Parabolic Exponential (Sikka, Adediran)
(6) Wood
(6a) Wood (Dhanoa)
(6b) Wood (Cappio-Borlino)
(7) Quadratic Polynomial (Dave)
(8) Cobby & Le Du
(9) Papajcsik and Bodero 1
(10) Papajcsik and Bodero 2
(11) Papajcsik and Bodero 3
(12) Papajcsik and Bodero 4 Error Error
(13) Papajcsik and Bodero 6
(14) Mixed log model 1 (Guo & Swalve) 0.664824755174452
(15) Mixed log model 3 (Guo & Swalve)
(16) Log-quadratic (Adediran)
(17) Wilmink
(17a) Wilmink (Kheidirabadi)
(17b) Wilmink (Laurenson & Strucken) 0.67556296308131
(18) Bicompartemental (Ferguson & Boston)
(19) Dijkstra
(20) Morant & Gnanasakthy (Pollott)
(21) Morant & Gnanasakthy (Vargas)
(22) Morant & Gnanasakthy (Adediran)
(23) Khandekar (Guo & Swalve)
(24) Ali & Schaeffer
(25) Fractional Polynomial (Elvira)
(26) Pollott multiplicative reduced (Elvira)
(27) Pollott modified (Adediran)
(28) Monophasic Grossman
(29) Monophasic Grossman power
(30) Diphasic Grossman
(31) Diphasic Grossman power Error Error
(32) Legendre Polynomial 3th (Jacobson)
(33) Legendre Polynomial 4th (Jacobson)
(34) Legendre + Wilmink (Lindauer)
(35) Natural Cubic Spline (3 percentiles)
(36) Natural Cubic Spline (4 percentiles)
(37) Natural Cubic Spline (5 percentiles)
(38) Natural Cubic Spline (defined Harrell)
RSE logL
(1) Michaelis-Menten
(1a) Michaelis-Menten (Rook)
(1b) Michaelis-Menten + Exponential (Rook)
(2) Brody 1923
(3) Brody 1924
(4) Schumacher
(4a) Schumacher (Lopez)
(5) Parabolic Exponential (Sikka, Adediran)
(6) Wood
(6a) Wood (Dhanoa)
(6b) Wood (Cappio-Borlino)
(7) Quadratic Polynomial (Dave)
(8) Cobby & Le Du
(9) Papajcsik and Bodero 1
(10) Papajcsik and Bodero 2
(11) Papajcsik and Bodero 3
(12) Papajcsik and Bodero 4 Error Error
(13) Papajcsik and Bodero 6
(14) Mixed log model 1 (Guo & Swalve) 2.06718731925394
(15) Mixed log model 3 (Guo & Swalve)
(16) Log-quadratic (Adediran)
(17) Wilmink
(17a) Wilmink (Kheidirabadi)
(17b) Wilmink (Laurenson & Strucken) -152.773437506679
(18) Bicompartemental (Ferguson & Boston)
(19) Dijkstra
(20) Morant & Gnanasakthy (Pollott)
(21) Morant & Gnanasakthy (Vargas)
(22) Morant & Gnanasakthy (Adediran)
(23) Khandekar (Guo & Swalve)
(24) Ali & Schaeffer
(25) Fractional Polynomial (Elvira)
(26) Pollott multiplicative reduced (Elvira)
(27) Pollott modified (Adediran)
(28) Monophasic Grossman
(29) Monophasic Grossman power
(30) Diphasic Grossman
(31) Diphasic Grossman power Error Error
(32) Legendre Polynomial 3th (Jacobson)
(33) Legendre Polynomial 4th (Jacobson)
(34) Legendre + Wilmink (Lindauer)
(35) Natural Cubic Spline (3 percentiles)
(36) Natural Cubic Spline (4 percentiles)
(37) Natural Cubic Spline (5 percentiles)
(38) Natural Cubic Spline (defined Harrell)
AIC AICC
(1) Michaelis-Menten
(1a) Michaelis-Menten (Rook)
(1b) Michaelis-Menten + Exponential (Rook)
(2) Brody 1923
(3) Brody 1924
(4) Schumacher
(4a) Schumacher (Lopez)
(5) Parabolic Exponential (Sikka, Adediran)
(6) Wood
(6a) Wood (Dhanoa)
(6b) Wood (Cappio-Borlino)
(7) Quadratic Polynomial (Dave)
(8) Cobby & Le Du
(9) Papajcsik and Bodero 1
(10) Papajcsik and Bodero 2
(11) Papajcsik and Bodero 3
(12) Papajcsik and Bodero 4 Error Error
(13) Papajcsik and Bodero 6
(14) Mixed log model 1 (Guo & Swalve) 313.834058190191 310.167391523525
(15) Mixed log model 3 (Guo & Swalve)
(16) Log-quadratic (Adediran)
(17) Wilmink
(17a) Wilmink (Kheidirabadi)
(17b) Wilmink (Laurenson & Strucken)
(18) Bicompartemental (Ferguson & Boston)
(19) Dijkstra
(20) Morant & Gnanasakthy (Pollott)
(21) Morant & Gnanasakthy (Vargas)
(22) Morant & Gnanasakthy (Adediran)
(23) Khandekar (Guo & Swalve)
(24) Ali & Schaeffer
(25) Fractional Polynomial (Elvira)
(26) Pollott multiplicative reduced (Elvira)
(27) Pollott modified (Adediran)
(28) Monophasic Grossman
(29) Monophasic Grossman power
(30) Diphasic Grossman
(31) Diphasic Grossman power Error Error
(32) Legendre Polynomial 3th (Jacobson)
(33) Legendre Polynomial 4th (Jacobson)
(34) Legendre + Wilmink (Lindauer)
(35) Natural Cubic Spline (3 percentiles)
(36) Natural Cubic Spline (4 percentiles)
(37) Natural Cubic Spline (5 percentiles)
(38) Natural Cubic Spline (defined Harrell)
BIC DW
(1) Michaelis-Menten
(1a) Michaelis-Menten (Rook)
(1b) Michaelis-Menten + Exponential (Rook) 0.888400819966546
(2) Brody 1923
(3) Brody 1924
(4) Schumacher
(4a) Schumacher (Lopez)
(5) Parabolic Exponential (Sikka, Adediran)
(6) Wood
(6a) Wood (Dhanoa)
(6b) Wood (Cappio-Borlino)
(7) Quadratic Polynomial (Dave)
(8) Cobby & Le Du
(9) Papajcsik and Bodero 1
(10) Papajcsik and Bodero 2
(11) Papajcsik and Bodero 3
(12) Papajcsik and Bodero 4 Error Error
(13) Papajcsik and Bodero 6
(14) Mixed log model 1 (Guo & Swalve) 322.940722666256
(15) Mixed log model 3 (Guo & Swalve)
(16) Log-quadratic (Adediran)
(17) Wilmink
(17a) Wilmink (Kheidirabadi)
(17b) Wilmink (Laurenson & Strucken)
(18) Bicompartemental (Ferguson & Boston)
(19) Dijkstra
(20) Morant & Gnanasakthy (Pollott)
(21) Morant & Gnanasakthy (Vargas)
(22) Morant & Gnanasakthy (Adediran)
(23) Khandekar (Guo & Swalve)
(24) Ali & Schaeffer
(25) Fractional Polynomial (Elvira)
(26) Pollott multiplicative reduced (Elvira)
(27) Pollott modified (Adediran)
(28) Monophasic Grossman
(29) Monophasic Grossman power
(30) Diphasic Grossman
(31) Diphasic Grossman power Error Error
(32) Legendre Polynomial 3th (Jacobson)
(33) Legendre Polynomial 4th (Jacobson)
(34) Legendre + Wilmink (Lindauer)
(35) Natural Cubic Spline (3 percentiles)
(36) Natural Cubic Spline (4 percentiles)
(37) Natural Cubic Spline (5 percentiles)
(38) Natural Cubic Spline (defined Harrell)
$R2
nls(formula = trait ~ a + (b - a) * (1 - e^(-k * dim)) - c *
dim, data = x, start = list(a = 20, b = 30, c = 0.005, k = 0.08),
control = list(maxiter = 100, tol = 1e-05, minFactor = 0.0009765625,
printEval = FALSE, warnOnly = TRUE), na.action = na.exclude,
algorithm = "default", trace = FALSE)
$R2adj
nls(formula = trait ~ a + b * dim^0.5 + c * log(dim), data = x,
start = list(a = 18.28, b = -1.58, c = 4.33), control = list(
maxiter = 100, tol = 1e-05, minFactor = 0.0009765625,
printEval = FALSE, warnOnly = TRUE), na.action = na.exclude,
algorithm = "default", trace = FALSE)
$RSE
nls(formula = trait ~ a + b * dim^0.5 + c * log(dim), data = x,
start = list(a = 18.28, b = -1.58, c = 4.33), control = list(
maxiter = 100, tol = 1e-05, minFactor = 0.0009765625,
printEval = FALSE, warnOnly = TRUE), na.action = na.exclude,
algorithm = "default", trace = FALSE)
$logL
nls(formula = trait ~ a + (b - a) * (1 - e^(-k * dim)) - c *
dim, data = x, start = list(a = 20, b = 30, c = 0.005, k = 0.08),
control = list(maxiter = 100, tol = 1e-05, minFactor = 0.0009765625,
printEval = FALSE, warnOnly = TRUE), na.action = na.exclude,
algorithm = "default", trace = FALSE)
$AIC
nls(formula = trait ~ a + b * dim^0.5 + c * log(dim), data = x,
start = list(a = 18.28, b = -1.58, c = 4.33), control = list(
maxiter = 100, tol = 1e-05, minFactor = 0.0009765625,
printEval = FALSE, warnOnly = TRUE), na.action = na.exclude,
algorithm = "default", trace = FALSE)
$AICC
nls(formula = trait ~ a + b * dim^0.5 + c * log(dim), data = x,
start = list(a = 18.28, b = -1.58, c = 4.33), control = list(
maxiter = 100, tol = 1e-05, minFactor = 0.0009765625,
printEval = FALSE, warnOnly = TRUE), na.action = na.exclude,
algorithm = "default", trace = FALSE)
$BIC
nls(formula = trait ~ a + b * dim^0.5 + c * log(dim), data = x,
start = list(a = 18.28, b = -1.58, c = 4.33), control = list(
maxiter = 100, tol = 1e-05, minFactor = 0.0009765625,
printEval = FALSE, warnOnly = TRUE), na.action = na.exclude,
algorithm = "default", trace = FALSE)
$DW
nls(formula = trait ~ a * (1/(1 + b/(c + dim))) * e^(-d * dim),
data = x, start = list(a = -0.06608, b = 317.49, c = -328.06,
d = -0.027), control = list(maxiter = 100, tol = 1e-05,
minFactor = 0.0009765625, printEval = FALSE, warnOnly = TRUE),
na.action = na.exclude, algorithm = "default", trace = FALSE)
(12) Papajcsik and Bodero 4 (31) Diphasic Grossman power
"Missing value or infinity produced" "singular gradient"
NULL
NULL
NULL
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