Accepts or constructs a natural cubic spline basis for continuous time
and yields a matrix of approximations for time according to that basis.
Usage
time_spline(
time,
df = NULL,
...,
basis = time_spline_basis(time, df = df, ...)
)Arguments
- time
A numeric vector of values.
- df, ...
Only used if
basisis left as the default. Passed totime_spline_basis()(which passes all arguments tosplines::ns()) to calculate the splinebasis.- basis
Spline basis for which to create approximations of
time. Defaults totime_spline_basis(time, df = df, ...).
Value
Matrix with the same dimensions as basis. Contains basis as an
attribute.
Details
time_spline() is primarily useful because it can use one step to create the
spline basis from time and then re-input time into the spline basis
to obtain the spline approximations. Alternatively, it can calculate
predictions from a basis supplied to the basis argument.
Examples
time_spline(Theoph$Time, df = 3)
#> 1 2 3
#> [1,] 0.000000000 0.00000000 0.00000000
#> [2,] -0.031886120 0.07479893 -0.04282603
#> [3,] -0.070807627 0.16805702 -0.09622083
#> [4,] -0.125964695 0.31293414 -0.17916995
#> [5,] -0.169412675 0.48806315 -0.27927835
#> [6,] -0.115368472 0.64343847 -0.36471168
#> [7,] -0.005439624 0.64376443 -0.35709820
#> [8,] 0.187939184 0.56594061 -0.28713439
#> [9,] 0.336223856 0.48518463 -0.19148429
#> [10,] 0.432921151 0.40296875 -0.02765524
#> [11,] -0.140818100 0.37708366 0.76373230
#> [12,] 0.000000000 0.00000000 0.00000000
#> [13,] -0.034401475 0.08073620 -0.04622541
#> [14,] -0.064955064 0.15378594 -0.08804994
#> [15,] -0.115680778 0.28362245 -0.16238767
#> [16,] -0.167320051 0.47227657 -0.27028435
#> [17,] -0.135633825 0.63136451 -0.35893139
#> [18,] -0.013265008 0.64554696 -0.35878460
#> [19,] 0.187939184 0.56594061 -0.28713439
#> [20,] 0.333419797 0.48691072 -0.19397616
#> [21,] 0.431739620 0.40536423 -0.03443175
#> [22,] -0.135520210 0.37659567 0.75892036
#> [23,] 0.000000000 0.00000000 0.00000000
#> [24,] -0.034401475 0.08073620 -0.04622541
#> [25,] -0.071965460 0.17089459 -0.09784548
#> [26,] -0.117472923 0.28861038 -0.16524350
#> [27,] -0.169412675 0.48806315 -0.27927835
#> [28,] -0.128469570 0.63656288 -0.36151519
#> [29,] -0.007403778 0.64422798 -0.35753255
#> [30,] 0.191599626 0.56411346 -0.28534422
#> [31,] 0.333419797 0.48691072 -0.19397616
#> [32,] 0.433186017 0.40237949 -0.02595674
#> [33,] -0.125686467 0.37569104 0.74998465
#> [34,] 0.000000000 0.00000000 0.00000000
#> [35,] -0.044374820 0.10436966 -0.05975672
#> [36,] -0.074267838 0.17655229 -0.10108478
#> [37,] -0.121816839 0.30090106 -0.17228051
#> [38,] -0.170988539 0.50443930 -0.28859376
#> [39,] -0.135633825 0.63136451 -0.35893139
#> [40,] -0.013265008 0.64554696 -0.35878460
#> [41,] 0.187019320 0.56639890 -0.28758125
#> [42,] 0.334546483 0.48621869 -0.19298014
#> [43,] 0.431523624 0.40576949 -0.03555843
#> [44,] -0.162020769 0.37903913 0.78298164
#> [45,] 0.000000000 0.00000000 0.00000000
#> [46,] -0.038158943 0.08962167 -0.05131277
#> [47,] -0.064955064 0.15378594 -0.08804994
#> [48,] -0.115680778 0.28362245 -0.16238767
#> [49,] -0.169412675 0.48806315 -0.27927835
#> [50,] -0.135633825 0.63136451 -0.35893139
#> [51,] -0.013265008 0.64554696 -0.35878460
#> [52,] 0.187019320 0.56639890 -0.28758125
#> [53,] 0.338985800 0.48347180 -0.18898637
#> [54,] 0.431739620 0.40536423 -0.03443175
#> [55,] -0.139304250 0.37694418 0.76235743
#> [56,] 0.000000000 0.00000000 0.00000000
#> [57,] -0.034401475 0.08073620 -0.04622541
#> [58,] -0.071965460 0.17089459 -0.09784548
#> [59,] -0.128360092 0.32003121 -0.18323322
#> [60,] -0.169587065 0.48959437 -0.28015006
#> [61,] -0.131520539 0.63449736 -0.36050068
#> [62,] -0.015207904 0.64596224 -0.35918470
#> [63,] 0.185173915 0.56731723 -0.28847414
#> [64,] 0.345443447 0.47941486 -0.18296684
#> [65,] 0.432737810 0.40336372 -0.02878661
#> [66,] -0.101522574 0.37347754 0.72799512
#> [67,] 0.000000000 0.00000000 0.00000000
#> [68,] -0.031886120 0.07479893 -0.04282603
#> [69,] -0.062585869 0.14804054 -0.08476042
#> [70,] -0.117472923 0.28861038 -0.16524350
#> [71,] -0.169412675 0.48806315 -0.27927835
#> [72,] -0.136774489 0.63041696 -0.35845070
#> [73,] -0.015207904 0.64596224 -0.35918470
#> [74,] 0.183321049 0.56823778 -0.28936584
#> [75,] 0.333419797 0.48691072 -0.19397616
#> [76,] 0.432255723 0.40435862 -0.03161162
#> [77,] -0.129467769 0.37603869 0.75342133
#> [78,] 0.000000000 0.00000000 0.00000000
#> [79,] -0.031886120 0.07479893 -0.04282603
#> [80,] -0.064955064 0.15378594 -0.08804994
#> [81,] -0.113858263 0.27859466 -0.15950901
#> [82,] -0.169412675 0.48806315 -0.27927835
#> [83,] -0.133893864 0.63274194 -0.35962540
#> [84,] -0.010340372 0.64490104 -0.35816820
#> [85,] 0.198829456 0.56048783 -0.28175081
#> [86,] 0.337333680 0.48449791 -0.19048585
#> [87,] 0.432737810 0.40336372 -0.02878661
#> [88,] -0.121906461 0.37534379 0.74654816
#> [89,] 0.000000000 0.00000000 0.00000000
#> [90,] -0.038158943 0.08962167 -0.05131277
#> [91,] -0.077687049 0.18499373 -0.10591792
#> [92,] -0.120102880 0.29601578 -0.16948345
#> [93,] -0.169412675 0.48806315 -0.27927835
#> [94,] -0.133893864 0.63274194 -0.35962540
#> [95,] -0.013265008 0.64554696 -0.35878460
#> [96,] 0.200617994 0.55958737 -0.28084975
#> [97,] 0.321779716 0.49394857 -0.20388285
#> [98,] 0.426370035 0.41379984 -0.05681476
#> [99,] -0.145360341 0.37750232 0.76785698
#> [100,] 0.000000000 0.00000000 0.00000000
#> [101,] -0.046843101 0.11024514 -0.06312071
#> [102,] -0.093041003 0.22359645 -0.12801985
#> [103,] -0.117472923 0.28861038 -0.16524350
#> [104,] -0.169917035 0.49263118 -0.28187848
#> [105,] -0.132714772 0.63363118 -0.36007016
#> [106,] -0.010340372 0.64490104 -0.35816820
#> [107,] 0.192509988 0.56365816 -0.28489600
#> [108,] 0.353680730 0.47412303 -0.17488729
#> [109,] 0.432737810 0.40336372 -0.02878661
#> [110,] -0.090224045 0.37244888 0.71769159
#> [111,] 0.000000000 0.00000000 0.00000000
#> [112,] -0.031886120 0.07479893 -0.04282603
#> [113,] -0.062585869 0.14804054 -0.08476042
#> [114,] -0.113858263 0.27859466 -0.15950901
#> [115,] -0.168652039 0.48185238 -0.27574137
#> [116,] -0.129701084 0.63575371 -0.36111993
#> [117,] -0.013265008 0.64554696 -0.35878460
#> [118,] 0.187939184 0.56594061 -0.28713439
#> [119,] 0.335107293 0.48587347 -0.19248177
#> [120,] 0.432921151 0.40296875 -0.02765524
#> [121,] -0.118883480 0.37506632 0.74379911
#> [122,] 0.000000000 0.00000000 0.00000000
#> [123,] -0.031886120 0.07479893 -0.04282603
#> [124,] -0.062585869 0.14804054 -0.08476042
#> [125,] -0.115680778 0.28362245 -0.16238767
#> [126,] -0.169045005 0.48497498 -0.27751992
#> [127,] -0.134477691 0.63228862 -0.35939765
#> [128,] -0.008383944 0.64445532 -0.35774656
#> [129,] 0.191599626 0.56411346 -0.28534422
#> [130,] 0.335107293 0.48587347 -0.19248177
#> [131,] 0.432255723 0.40435862 -0.03161162
#> [132,] -0.124174302 0.37555209 0.74861003
#> attr(,"degree")
#> [1] 3
#> attr(,"knots")
#> [1] 1.040000 7.023333
#> attr(,"Boundary.knots")
#> [1] 0.00 24.65
#> attr(,"intercept")
#> [1] FALSE
#> attr(,"class")
#> [1] "splinetrials_time_spline" "ns"
#> [3] "basis" "matrix"
#> attr(,"basis")
#> 1 2 3
#> [1,] 0.000000000 0.00000000 0.00000000
#> [2,] -0.031886120 0.07479893 -0.04282603
#> [3,] -0.070807627 0.16805702 -0.09622083
#> [4,] -0.125964695 0.31293414 -0.17916995
#> [5,] -0.169412675 0.48806315 -0.27927835
#> [6,] -0.115368472 0.64343847 -0.36471168
#> [7,] -0.005439624 0.64376443 -0.35709820
#> [8,] 0.187939184 0.56594061 -0.28713439
#> [9,] 0.336223856 0.48518463 -0.19148429
#> [10,] 0.432921151 0.40296875 -0.02765524
#> [11,] -0.140818100 0.37708366 0.76373230
#> [12,] 0.000000000 0.00000000 0.00000000
#> [13,] -0.034401475 0.08073620 -0.04622541
#> [14,] -0.064955064 0.15378594 -0.08804994
#> [15,] -0.115680778 0.28362245 -0.16238767
#> [16,] -0.167320051 0.47227657 -0.27028435
#> [17,] -0.135633825 0.63136451 -0.35893139
#> [18,] -0.013265008 0.64554696 -0.35878460
#> [19,] 0.187939184 0.56594061 -0.28713439
#> [20,] 0.333419797 0.48691072 -0.19397616
#> [21,] 0.431739620 0.40536423 -0.03443175
#> [22,] -0.135520210 0.37659567 0.75892036
#> [23,] 0.000000000 0.00000000 0.00000000
#> [24,] -0.034401475 0.08073620 -0.04622541
#> [25,] -0.071965460 0.17089459 -0.09784548
#> [26,] -0.117472923 0.28861038 -0.16524350
#> [27,] -0.169412675 0.48806315 -0.27927835
#> [28,] -0.128469570 0.63656288 -0.36151519
#> [29,] -0.007403778 0.64422798 -0.35753255
#> [30,] 0.191599626 0.56411346 -0.28534422
#> [31,] 0.333419797 0.48691072 -0.19397616
#> [32,] 0.433186017 0.40237949 -0.02595674
#> [33,] -0.125686467 0.37569104 0.74998465
#> [34,] 0.000000000 0.00000000 0.00000000
#> [35,] -0.044374820 0.10436966 -0.05975672
#> [36,] -0.074267838 0.17655229 -0.10108478
#> [37,] -0.121816839 0.30090106 -0.17228051
#> [38,] -0.170988539 0.50443930 -0.28859376
#> [39,] -0.135633825 0.63136451 -0.35893139
#> [40,] -0.013265008 0.64554696 -0.35878460
#> [41,] 0.187019320 0.56639890 -0.28758125
#> [42,] 0.334546483 0.48621869 -0.19298014
#> [43,] 0.431523624 0.40576949 -0.03555843
#> [44,] -0.162020769 0.37903913 0.78298164
#> [45,] 0.000000000 0.00000000 0.00000000
#> [46,] -0.038158943 0.08962167 -0.05131277
#> [47,] -0.064955064 0.15378594 -0.08804994
#> [48,] -0.115680778 0.28362245 -0.16238767
#> [49,] -0.169412675 0.48806315 -0.27927835
#> [50,] -0.135633825 0.63136451 -0.35893139
#> [51,] -0.013265008 0.64554696 -0.35878460
#> [52,] 0.187019320 0.56639890 -0.28758125
#> [53,] 0.338985800 0.48347180 -0.18898637
#> [54,] 0.431739620 0.40536423 -0.03443175
#> [55,] -0.139304250 0.37694418 0.76235743
#> [56,] 0.000000000 0.00000000 0.00000000
#> [57,] -0.034401475 0.08073620 -0.04622541
#> [58,] -0.071965460 0.17089459 -0.09784548
#> [59,] -0.128360092 0.32003121 -0.18323322
#> [60,] -0.169587065 0.48959437 -0.28015006
#> [61,] -0.131520539 0.63449736 -0.36050068
#> [62,] -0.015207904 0.64596224 -0.35918470
#> [63,] 0.185173915 0.56731723 -0.28847414
#> [64,] 0.345443447 0.47941486 -0.18296684
#> [65,] 0.432737810 0.40336372 -0.02878661
#> [66,] -0.101522574 0.37347754 0.72799512
#> [67,] 0.000000000 0.00000000 0.00000000
#> [68,] -0.031886120 0.07479893 -0.04282603
#> [69,] -0.062585869 0.14804054 -0.08476042
#> [70,] -0.117472923 0.28861038 -0.16524350
#> [71,] -0.169412675 0.48806315 -0.27927835
#> [72,] -0.136774489 0.63041696 -0.35845070
#> [73,] -0.015207904 0.64596224 -0.35918470
#> [74,] 0.183321049 0.56823778 -0.28936584
#> [75,] 0.333419797 0.48691072 -0.19397616
#> [76,] 0.432255723 0.40435862 -0.03161162
#> [77,] -0.129467769 0.37603869 0.75342133
#> [78,] 0.000000000 0.00000000 0.00000000
#> [79,] -0.031886120 0.07479893 -0.04282603
#> [80,] -0.064955064 0.15378594 -0.08804994
#> [81,] -0.113858263 0.27859466 -0.15950901
#> [82,] -0.169412675 0.48806315 -0.27927835
#> [83,] -0.133893864 0.63274194 -0.35962540
#> [84,] -0.010340372 0.64490104 -0.35816820
#> [85,] 0.198829456 0.56048783 -0.28175081
#> [86,] 0.337333680 0.48449791 -0.19048585
#> [87,] 0.432737810 0.40336372 -0.02878661
#> [88,] -0.121906461 0.37534379 0.74654816
#> [89,] 0.000000000 0.00000000 0.00000000
#> [90,] -0.038158943 0.08962167 -0.05131277
#> [91,] -0.077687049 0.18499373 -0.10591792
#> [92,] -0.120102880 0.29601578 -0.16948345
#> [93,] -0.169412675 0.48806315 -0.27927835
#> [94,] -0.133893864 0.63274194 -0.35962540
#> [95,] -0.013265008 0.64554696 -0.35878460
#> [96,] 0.200617994 0.55958737 -0.28084975
#> [97,] 0.321779716 0.49394857 -0.20388285
#> [98,] 0.426370035 0.41379984 -0.05681476
#> [99,] -0.145360341 0.37750232 0.76785698
#> [100,] 0.000000000 0.00000000 0.00000000
#> [101,] -0.046843101 0.11024514 -0.06312071
#> [102,] -0.093041003 0.22359645 -0.12801985
#> [103,] -0.117472923 0.28861038 -0.16524350
#> [104,] -0.169917035 0.49263118 -0.28187848
#> [105,] -0.132714772 0.63363118 -0.36007016
#> [106,] -0.010340372 0.64490104 -0.35816820
#> [107,] 0.192509988 0.56365816 -0.28489600
#> [108,] 0.353680730 0.47412303 -0.17488729
#> [109,] 0.432737810 0.40336372 -0.02878661
#> [110,] -0.090224045 0.37244888 0.71769159
#> [111,] 0.000000000 0.00000000 0.00000000
#> [112,] -0.031886120 0.07479893 -0.04282603
#> [113,] -0.062585869 0.14804054 -0.08476042
#> [114,] -0.113858263 0.27859466 -0.15950901
#> [115,] -0.168652039 0.48185238 -0.27574137
#> [116,] -0.129701084 0.63575371 -0.36111993
#> [117,] -0.013265008 0.64554696 -0.35878460
#> [118,] 0.187939184 0.56594061 -0.28713439
#> [119,] 0.335107293 0.48587347 -0.19248177
#> [120,] 0.432921151 0.40296875 -0.02765524
#> [121,] -0.118883480 0.37506632 0.74379911
#> [122,] 0.000000000 0.00000000 0.00000000
#> [123,] -0.031886120 0.07479893 -0.04282603
#> [124,] -0.062585869 0.14804054 -0.08476042
#> [125,] -0.115680778 0.28362245 -0.16238767
#> [126,] -0.169045005 0.48497498 -0.27751992
#> [127,] -0.134477691 0.63228862 -0.35939765
#> [128,] -0.008383944 0.64445532 -0.35774656
#> [129,] 0.191599626 0.56411346 -0.28534422
#> [130,] 0.335107293 0.48587347 -0.19248177
#> [131,] 0.432255723 0.40435862 -0.03161162
#> [132,] -0.124174302 0.37555209 0.74861003
#> attr(,"degree")
#> [1] 3
#> attr(,"knots")
#> [1] 1.040000 7.023333
#> attr(,"Boundary.knots")
#> [1] 0.00 24.65
#> attr(,"intercept")
#> [1] FALSE
#> attr(,"class")
#> [1] "ns" "basis" "matrix"
# Or, compute the spline basis beforehand, and then pass it to time_spline()
basis <-
splines::bs(Theoph$Time, df = 3, Boundary.knots = c(0, max(Theoph$Time)))
time_spline(Theoph$Time, basis = basis)
#> 1 2 3
#> [1,] 0.0000000000 0.0000000000 0.000000e+00
#> [2,] 0.0298119336 0.0003054501 1.043204e-06
#> [3,] 0.0662000481 0.0015670277 1.236442e-05
#> [4,] 0.1242030786 0.0059119187 9.380010e-05
#> [5,] 0.2072005774 0.0184951465 5.503048e-04
#> [6,] 0.3319803563 0.0608816592 3.721682e-03
#> [7,] 0.3904219115 0.1018491943 8.856452e-03
#> [8,] 0.4371571813 0.1744162874 2.319611e-02
#> [9,] 0.4411316921 0.2559129368 4.948744e-02
#> [10,] 0.3811318524 0.3686606585 1.188658e-01
#> [11,] 0.0003826856 0.0333073111 9.663085e-01
#> [12,] 0.0000000000 0.0000000000 0.000000e+00
#> [13,] 0.0321441281 0.0003559850 1.314137e-06
#> [14,] 0.0606440883 0.0013068763 9.387701e-06
#> [15,] 0.1120295971 0.0047369808 6.676506e-05
#> [16,] 0.1986875177 0.0167831075 4.725556e-04
#> [17,] 0.3135878818 0.0518939757 2.862552e-03
#> [18,] 0.3874492283 0.0990827879 8.446181e-03
#> [19,] 0.4371571813 0.1744162874 2.319611e-02
#> [20,] 0.4415111513 0.2539041765 4.867173e-02
#> [21,] 0.3846208125 0.3648576877 1.153700e-01
#> [22,] 0.0005962287 0.0413953039 9.580056e-01
#> [23,] 0.0000000000 0.0000000000 0.000000e+00
#> [24,] 0.0321441281 0.0003559850 1.314137e-06
#> [25,] 0.0673055160 0.0016218197 1.302666e-05
#> [26,] 0.1140770019 0.0049241871 7.085161e-05
#> [27,] 0.2072005774 0.0184951465 5.503048e-04
#> [28,] 0.3206694595 0.0551984519 3.167196e-03
#> [29,] 0.3896869368 0.1011553214 8.752666e-03
#> [30,] 0.4376507118 0.1760062874 2.359432e-02
#> [31,] 0.4415111513 0.2539041765 4.867173e-02
#> [32,] 0.3802478681 0.3696009278 1.197507e-01
#> [33,] 0.0011153974 0.0561649042 9.427123e-01
#> [34,] 0.0000000000 0.0000000000 0.000000e+00
#> [35,] 0.0413953039 0.0005962287 2.862552e-06
#> [36,] 0.0695107374 0.0017341556 1.442125e-05
#> [37,] 0.1191631193 0.0054073171 8.179007e-05
#> [38,] 0.2163649256 0.0204643558 6.451906e-04
#> [39,] 0.3135878818 0.0518939757 2.862552e-03
#> [40,] 0.3874492283 0.0990827879 8.446181e-03
#> [41,] 0.4370309765 0.1740191410 2.309727e-02
#> [42,] 0.4413620392 0.2547079714 4.899693e-02
#> [43,] 0.3851949029 0.3642174378 1.147941e-01
#> [44,] 0.0000000000 0.0000000000 1.000000e+00
#> [45,] 0.0000000000 0.0000000000 0.000000e+00
#> [46,] 0.0356278545 0.0004389469 1.802657e-06
#> [47,] 0.0606440883 0.0013068763 9.387701e-06
#> [48,] 0.1120295971 0.0047369808 6.676506e-05
#> [49,] 0.2072005774 0.0184951465 5.503048e-04
#> [50,] 0.3135878818 0.0518939757 2.862552e-03
#> [51,] 0.3874492283 0.0990827879 8.446181e-03
#> [52,] 0.4370309765 0.1740191410 2.309727e-02
#> [53,] 0.4407300502 0.2579191934 5.031221e-02
#> [54,] 0.3846208125 0.3648576877 1.153700e-01
#> [55,] 0.0004389469 0.0356278545 9.639314e-01
#> [56,] 0.0000000000 0.0000000000 0.000000e+00
#> [57,] 0.0321441281 0.0003559850 1.314137e-06
#> [58,] 0.0673055160 0.0016218197 1.302666e-05
#> [59,] 0.1272049609 0.0062249236 1.015413e-04
#> [60,] 0.2080423367 0.0186704661 5.585182e-04
#> [61,] 0.3177458690 0.0538118004 3.037763e-03
#> [62,] 0.3866923653 0.0983950039 8.345632e-03
#> [63,] 0.4367751719 0.1732252807 2.290041e-02
#> [64,] 0.4396765032 0.2627230952 5.232895e-02
#> [65,] 0.3817185855 0.3680314649 1.182784e-01
#> [66,] 0.0030573055 0.0911459210 9.057626e-01
#> [67,] 0.0000000000 0.0000000000 0.000000e+00
#> [68,] 0.0298119336 0.0003054501 1.043204e-06
#> [69,] 0.0584083259 0.0012092821 8.345632e-06
#> [70,] 0.1140770019 0.0049241871 7.085161e-05
#> [71,] 0.2072005774 0.0184951465 5.503048e-04
#> [72,] 0.3123859149 0.0513511093 2.813759e-03
#> [73,] 0.3866923653 0.0983950039 8.345632e-03
#> [74,] 0.4365148327 0.1724320052 2.270469e-02
#> [75,] 0.4415111513 0.2539041765 4.867173e-02
#> [76,] 0.3831762837 0.3664503348 1.168182e-01
#> [77,] 0.0008969775 0.0505227774 9.485749e-01
#> [78,] 0.0000000000 0.0000000000 0.000000e+00
#> [79,] 0.0298119336 0.0003054501 1.043204e-06
#> [80,] 0.0606440883 0.0013068763 9.387701e-06
#> [81,] 0.1099747733 0.0045532437 6.283874e-05
#> [82,] 0.2072005774 0.0184951465 5.503048e-04
#> [83,] 0.3153791781 0.0527125236 2.936793e-03
#> [84,] 0.3885742386 0.1001173421 8.598513e-03
#> [85,] 0.4385838373 0.1791928250 2.440436e-02
#> [86,] 0.4409736889 0.2567157483 4.981626e-02
#> [87,] 0.3817185855 0.3680314649 1.182784e-01
#> [88,] 0.0013570615 0.0617591003 9.368739e-01
#> [89,] 0.0000000000 0.0000000000 0.000000e+00
#> [90,] 0.0356278545 0.0004389469 1.802657e-06
#> [91,] 0.0728043015 0.0019095216 1.669440e-05
#> [92,] 0.1171342197 0.0052114801 7.728890e-05
#> [93,] 0.2072005774 0.0184951465 5.503048e-04
#> [94,] 0.3153791781 0.0527125236 2.936793e-03
#> [95,] 0.3874492283 0.0990827879 8.446181e-03
#> [96,] 0.4388059383 0.1799907653 2.460972e-02
#> [97,] 0.4428041568 0.2458471028 4.549852e-02
#> [98,] 0.3956849176 0.3517199267 1.042133e-01
#> [99,] 0.0002368314 0.0262990523 9.734634e-01
#> [100,] 0.0000000000 0.0000000000 0.000000e+00
#> [101,] 0.0436887453 0.0006657675 3.381850e-06
#> [102,] 0.0879487870 0.0028358696 3.048045e-05
#> [103,] 0.1140770019 0.0049241871 7.085161e-05
#> [104,] 0.2097206636 0.0190233345 5.751893e-04
#> [105,] 0.3165656201 0.0532610404 2.986994e-03
#> [106,] 0.3885742386 0.1001173421 8.598513e-03
#> [107,] 0.4377712783 0.1764041349 2.369458e-02
#> [108,] 0.4380779522 0.2691009294 5.510078e-02
#> [109,] 0.3817185855 0.3680314649 1.182784e-01
#> [110,] 0.0042841635 0.1068786061 8.887800e-01
#> [111,] 0.0000000000 0.0000000000 0.000000e+00
#> [112,] 0.0298119336 0.0003054501 1.043204e-06
#> [113,] 0.0584083259 0.0012092821 8.345632e-06
#> [114,] 0.1099747733 0.0045532437 6.283874e-05
#> [115,] 0.2038162066 0.0178013273 5.182566e-04
#> [116,] 0.3195046513 0.0546421256 3.114991e-03
#> [117,] 0.3874492283 0.0990827879 8.446181e-03
#> [118,] 0.4371571813 0.1744162874 2.319611e-02
#> [119,] 0.4412861461 0.2551097247 4.916007e-02
#> [120,] 0.3811318524 0.3686606585 1.188658e-01
#> [121,] 0.0015670277 0.0662000481 9.322206e-01
#> [122,] 0.0000000000 0.0000000000 0.000000e+00
#> [123,] 0.0298119336 0.0003054501 1.043204e-06
#> [124,] 0.0584083259 0.0012092821 8.345632e-06
#> [125,] 0.1120295971 0.0047369808 6.676506e-05
#> [126,] 0.2055118611 0.0181467427 5.341205e-04
#> [127,] 0.3147836316 0.0524391095 2.911905e-03
#> [128,] 0.3893174034 0.1008089497 8.701079e-03
#> [129,] 0.4376507118 0.1760062874 2.359432e-02
#> [130,] 0.4412861461 0.2551097247 4.916007e-02
#> [131,] 0.3831762837 0.3664503348 1.168182e-01
#> [132,] 0.0012092821 0.0584083259 9.403740e-01
#> attr(,"degree")
#> [1] 3
#> attr(,"knots")
#> numeric(0)
#> attr(,"Boundary.knots")
#> [1] 0.00 24.65
#> attr(,"intercept")
#> [1] FALSE
#> attr(,"class")
#> [1] "splinetrials_time_spline" "bs"
#> [3] "basis" "matrix"
#> attr(,"basis")
#> 1 2 3
#> [1,] 0.0000000000 0.0000000000 0.000000e+00
#> [2,] 0.0298119336 0.0003054501 1.043204e-06
#> [3,] 0.0662000481 0.0015670277 1.236442e-05
#> [4,] 0.1242030786 0.0059119187 9.380010e-05
#> [5,] 0.2072005774 0.0184951465 5.503048e-04
#> [6,] 0.3319803563 0.0608816592 3.721682e-03
#> [7,] 0.3904219115 0.1018491943 8.856452e-03
#> [8,] 0.4371571813 0.1744162874 2.319611e-02
#> [9,] 0.4411316921 0.2559129368 4.948744e-02
#> [10,] 0.3811318524 0.3686606585 1.188658e-01
#> [11,] 0.0003826856 0.0333073111 9.663085e-01
#> [12,] 0.0000000000 0.0000000000 0.000000e+00
#> [13,] 0.0321441281 0.0003559850 1.314137e-06
#> [14,] 0.0606440883 0.0013068763 9.387701e-06
#> [15,] 0.1120295971 0.0047369808 6.676506e-05
#> [16,] 0.1986875177 0.0167831075 4.725556e-04
#> [17,] 0.3135878818 0.0518939757 2.862552e-03
#> [18,] 0.3874492283 0.0990827879 8.446181e-03
#> [19,] 0.4371571813 0.1744162874 2.319611e-02
#> [20,] 0.4415111513 0.2539041765 4.867173e-02
#> [21,] 0.3846208125 0.3648576877 1.153700e-01
#> [22,] 0.0005962287 0.0413953039 9.580056e-01
#> [23,] 0.0000000000 0.0000000000 0.000000e+00
#> [24,] 0.0321441281 0.0003559850 1.314137e-06
#> [25,] 0.0673055160 0.0016218197 1.302666e-05
#> [26,] 0.1140770019 0.0049241871 7.085161e-05
#> [27,] 0.2072005774 0.0184951465 5.503048e-04
#> [28,] 0.3206694595 0.0551984519 3.167196e-03
#> [29,] 0.3896869368 0.1011553214 8.752666e-03
#> [30,] 0.4376507118 0.1760062874 2.359432e-02
#> [31,] 0.4415111513 0.2539041765 4.867173e-02
#> [32,] 0.3802478681 0.3696009278 1.197507e-01
#> [33,] 0.0011153974 0.0561649042 9.427123e-01
#> [34,] 0.0000000000 0.0000000000 0.000000e+00
#> [35,] 0.0413953039 0.0005962287 2.862552e-06
#> [36,] 0.0695107374 0.0017341556 1.442125e-05
#> [37,] 0.1191631193 0.0054073171 8.179007e-05
#> [38,] 0.2163649256 0.0204643558 6.451906e-04
#> [39,] 0.3135878818 0.0518939757 2.862552e-03
#> [40,] 0.3874492283 0.0990827879 8.446181e-03
#> [41,] 0.4370309765 0.1740191410 2.309727e-02
#> [42,] 0.4413620392 0.2547079714 4.899693e-02
#> [43,] 0.3851949029 0.3642174378 1.147941e-01
#> [44,] 0.0000000000 0.0000000000 1.000000e+00
#> [45,] 0.0000000000 0.0000000000 0.000000e+00
#> [46,] 0.0356278545 0.0004389469 1.802657e-06
#> [47,] 0.0606440883 0.0013068763 9.387701e-06
#> [48,] 0.1120295971 0.0047369808 6.676506e-05
#> [49,] 0.2072005774 0.0184951465 5.503048e-04
#> [50,] 0.3135878818 0.0518939757 2.862552e-03
#> [51,] 0.3874492283 0.0990827879 8.446181e-03
#> [52,] 0.4370309765 0.1740191410 2.309727e-02
#> [53,] 0.4407300502 0.2579191934 5.031221e-02
#> [54,] 0.3846208125 0.3648576877 1.153700e-01
#> [55,] 0.0004389469 0.0356278545 9.639314e-01
#> [56,] 0.0000000000 0.0000000000 0.000000e+00
#> [57,] 0.0321441281 0.0003559850 1.314137e-06
#> [58,] 0.0673055160 0.0016218197 1.302666e-05
#> [59,] 0.1272049609 0.0062249236 1.015413e-04
#> [60,] 0.2080423367 0.0186704661 5.585182e-04
#> [61,] 0.3177458690 0.0538118004 3.037763e-03
#> [62,] 0.3866923653 0.0983950039 8.345632e-03
#> [63,] 0.4367751719 0.1732252807 2.290041e-02
#> [64,] 0.4396765032 0.2627230952 5.232895e-02
#> [65,] 0.3817185855 0.3680314649 1.182784e-01
#> [66,] 0.0030573055 0.0911459210 9.057626e-01
#> [67,] 0.0000000000 0.0000000000 0.000000e+00
#> [68,] 0.0298119336 0.0003054501 1.043204e-06
#> [69,] 0.0584083259 0.0012092821 8.345632e-06
#> [70,] 0.1140770019 0.0049241871 7.085161e-05
#> [71,] 0.2072005774 0.0184951465 5.503048e-04
#> [72,] 0.3123859149 0.0513511093 2.813759e-03
#> [73,] 0.3866923653 0.0983950039 8.345632e-03
#> [74,] 0.4365148327 0.1724320052 2.270469e-02
#> [75,] 0.4415111513 0.2539041765 4.867173e-02
#> [76,] 0.3831762837 0.3664503348 1.168182e-01
#> [77,] 0.0008969775 0.0505227774 9.485749e-01
#> [78,] 0.0000000000 0.0000000000 0.000000e+00
#> [79,] 0.0298119336 0.0003054501 1.043204e-06
#> [80,] 0.0606440883 0.0013068763 9.387701e-06
#> [81,] 0.1099747733 0.0045532437 6.283874e-05
#> [82,] 0.2072005774 0.0184951465 5.503048e-04
#> [83,] 0.3153791781 0.0527125236 2.936793e-03
#> [84,] 0.3885742386 0.1001173421 8.598513e-03
#> [85,] 0.4385838373 0.1791928250 2.440436e-02
#> [86,] 0.4409736889 0.2567157483 4.981626e-02
#> [87,] 0.3817185855 0.3680314649 1.182784e-01
#> [88,] 0.0013570615 0.0617591003 9.368739e-01
#> [89,] 0.0000000000 0.0000000000 0.000000e+00
#> [90,] 0.0356278545 0.0004389469 1.802657e-06
#> [91,] 0.0728043015 0.0019095216 1.669440e-05
#> [92,] 0.1171342197 0.0052114801 7.728890e-05
#> [93,] 0.2072005774 0.0184951465 5.503048e-04
#> [94,] 0.3153791781 0.0527125236 2.936793e-03
#> [95,] 0.3874492283 0.0990827879 8.446181e-03
#> [96,] 0.4388059383 0.1799907653 2.460972e-02
#> [97,] 0.4428041568 0.2458471028 4.549852e-02
#> [98,] 0.3956849176 0.3517199267 1.042133e-01
#> [99,] 0.0002368314 0.0262990523 9.734634e-01
#> [100,] 0.0000000000 0.0000000000 0.000000e+00
#> [101,] 0.0436887453 0.0006657675 3.381850e-06
#> [102,] 0.0879487870 0.0028358696 3.048045e-05
#> [103,] 0.1140770019 0.0049241871 7.085161e-05
#> [104,] 0.2097206636 0.0190233345 5.751893e-04
#> [105,] 0.3165656201 0.0532610404 2.986994e-03
#> [106,] 0.3885742386 0.1001173421 8.598513e-03
#> [107,] 0.4377712783 0.1764041349 2.369458e-02
#> [108,] 0.4380779522 0.2691009294 5.510078e-02
#> [109,] 0.3817185855 0.3680314649 1.182784e-01
#> [110,] 0.0042841635 0.1068786061 8.887800e-01
#> [111,] 0.0000000000 0.0000000000 0.000000e+00
#> [112,] 0.0298119336 0.0003054501 1.043204e-06
#> [113,] 0.0584083259 0.0012092821 8.345632e-06
#> [114,] 0.1099747733 0.0045532437 6.283874e-05
#> [115,] 0.2038162066 0.0178013273 5.182566e-04
#> [116,] 0.3195046513 0.0546421256 3.114991e-03
#> [117,] 0.3874492283 0.0990827879 8.446181e-03
#> [118,] 0.4371571813 0.1744162874 2.319611e-02
#> [119,] 0.4412861461 0.2551097247 4.916007e-02
#> [120,] 0.3811318524 0.3686606585 1.188658e-01
#> [121,] 0.0015670277 0.0662000481 9.322206e-01
#> [122,] 0.0000000000 0.0000000000 0.000000e+00
#> [123,] 0.0298119336 0.0003054501 1.043204e-06
#> [124,] 0.0584083259 0.0012092821 8.345632e-06
#> [125,] 0.1120295971 0.0047369808 6.676506e-05
#> [126,] 0.2055118611 0.0181467427 5.341205e-04
#> [127,] 0.3147836316 0.0524391095 2.911905e-03
#> [128,] 0.3893174034 0.1008089497 8.701079e-03
#> [129,] 0.4376507118 0.1760062874 2.359432e-02
#> [130,] 0.4412861461 0.2551097247 4.916007e-02
#> [131,] 0.3831762837 0.3664503348 1.168182e-01
#> [132,] 0.0012092821 0.0584083259 9.403740e-01
#> attr(,"degree")
#> [1] 3
#> attr(,"knots")
#> numeric(0)
#> attr(,"Boundary.knots")
#> [1] 0.00 24.65
#> attr(,"intercept")
#> [1] FALSE
#> attr(,"class")
#> [1] "bs" "basis" "matrix"