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Evaluating the settings#> Number of data generating functions: 8 #> Number of analyzing procedures: 6 #> Number of replications: 1 -#> Estimated replications per hour: 341 -#> Start of the simulation: 2024-04-03 14:26:27.842144 -#> End of the simulation: 2024-04-03 14:26:38.375342 +#> Estimated replications per hour: 228 +#> Start of the simulation: 2024-05-01 16:14:02.58663 +#> End of the simulation: 2024-05-01 16:14:18.325464

Analyzing the results diff --git a/pkgdown.yml b/pkgdown.yml index bfc6d9f4..5e8c78c1 100644 --- a/pkgdown.yml +++ b/pkgdown.yml @@ -5,5 +5,5 @@ articles: demo: demo.html implement: implement.html simulation: simulation.html -last_built: 2024-04-03T14:24Z +last_built: 2024-05-01T16:12Z diff --git a/reference/Rplot002.png b/reference/Rplot002.png index 876052f3..25b4cd57 100644 Binary files a/reference/Rplot002.png and b/reference/Rplot002.png differ diff --git a/reference/as.list.lcMethod.html b/reference/as.list.lcMethod.html index befb7da0..662357f0 100644 --- a/reference/as.list.lcMethod.html +++ b/reference/as.list.lcMethod.html @@ -136,13 +136,13 @@

Examples

#> { #> mean(x, ..., na.rm = TRUE) #> } -#> <bytecode: 0x5625eaa19d78> +#> <bytecode: 0x55be2c0a0a30> #> <environment: namespace:latrend> #> #> $standardize #> function (x, center = TRUE, scale = TRUE) #> UseMethod("scale") -#> <bytecode: 0x5625ea942c70> +#> <bytecode: 0x55be2c0dc500> #> <environment: namespace:base> #> #> $method @@ -174,7 +174,7 @@

Examples

#> #> $formula #> Y ~ Time -#> <environment: 0x5625e9e39ee0> +#> <environment: 0x55be2c3b8ca0> #> as.list(method, args = c("id", "time")) @@ -227,11 +227,11 @@

Examples

#> #> $distance #> function(){} -#> <environment: 0x5625f0c215c0> +#> <environment: 0x55be2dbe9bf8> #> #> $centerMethod #> function(x){mean(x,na.rm=TRUE)} -#> <bytecode: 0x5625ee384108> +#> <bytecode: 0x55be2afd27f0> #> <environment: namespace:longitudinalData> #> #> $startingCond diff --git a/reference/dot-guessResponseVariable.html b/reference/dot-guessResponseVariable.html new file mode 100644 index 00000000..58a169ff --- /dev/null +++ b/reference/dot-guessResponseVariable.html @@ -0,0 +1,119 @@ + +Guess the response variable — .guessResponseVariable • latrend + + +
+
+ + + +
+
+ + +
+

Attempts to identify the response variable for the given trajectory data

+
+ +
+
.guessResponseVariable(
+  data,
+  id = getOption("latrend.id"),
+  time = getOption("latrend.time"),
+  cluster = "Cluster"
+)
+
+ +
+

Arguments

+
data
+

A trajectories data.frame.

+ + +
id
+

Id variable(s) to exclude.

+ + +
time
+

Time variable(s) to exclude.

+ + +
cluster
+

Cluster variable(s) to exclude.

+ +
+ +
+ +
+ + +
+ +
+

Site built with pkgdown 2.0.7.

+
+ +
+ + + + + + + + diff --git a/reference/estimationTime.html b/reference/estimationTime.html index 71a1674f..5732cb44 100644 --- a/reference/estimationTime.html +++ b/reference/estimationTime.html @@ -148,11 +148,11 @@

Examples

model <- latrend(method, latrendData) estimationTime(model) -#> [1] 0.094 +#> [1] 0.008 estimationTime(model, unit = 'mins') -#> [1] 0.001566667 +#> [1] 0.0001333333 estimationTime(model, unit = 'days') -#> [1] 1.087963e-06 +#> [1] 9.259259e-08
diff --git a/reference/formula.lcMethod.html b/reference/formula.lcMethod.html index ddaba083..ac211b6a 100644 --- a/reference/formula.lcMethod.html +++ b/reference/formula.lcMethod.html @@ -113,7 +113,7 @@

Examples

method <- lcMethodLMKM(Y ~ Time, id = "Id", time = "Time")
 formula(method) # Y ~ Time
 #> Y ~ Time
-#> <environment: 0x5625f1c842b8>
+#> <environment: 0x55be3370f430>
 
diff --git a/reference/formula.lcModel.html b/reference/formula.lcModel.html index fe584c19..582214f9 100644 --- a/reference/formula.lcModel.html +++ b/reference/formula.lcModel.html @@ -104,7 +104,7 @@

Examples

model <- latrend(method, data = latrendData) formula(model) # Y ~ Time #> Y ~ Time -#> <environment: 0x5625fef5ed30> +#> <environment: 0x55be405db118> diff --git a/reference/index.html b/reference/index.html index f9e5b562..c4dd936d 100644 --- a/reference/index.html +++ b/reference/index.html @@ -594,7 +594,7 @@

All functions

trajectories()

-

Extract the trajectories

+

Get the trajectories

trajectoryAssignments()

diff --git a/reference/lcMatrixMethod-class.html b/reference/lcMatrixMethod-class.html index a47349ca..eb6849a3 100644 --- a/reference/lcMatrixMethod-class.html +++ b/reference/lcMatrixMethod-class.html @@ -83,7 +83,7 @@

Arguments

...
-

Not used.

+

Arguments passed to trajectoryAssignments for generating the Cluster column.

method
diff --git a/reference/lcMethodDtwclust.html b/reference/lcMethodDtwclust.html index 7b10cb36..64f3ee1c 100644 --- a/reference/lcMethodDtwclust.html +++ b/reference/lcMethodDtwclust.html @@ -157,14 +157,11 @@

Examples

#> #> Precomputing distance matrix... #> -#> Iteration 1: Changes / Distsum = 200 / 582.2736 -#> Iteration 2: Changes / Distsum = 42 / 416.7195 -#> Iteration 3: Changes / Distsum = 16 / 364.8345 -#> Iteration 4: Changes / Distsum = 9 / 354.0672 -#> Iteration 5: Changes / Distsum = 4 / 348.6416 -#> Iteration 6: Changes / Distsum = 0 / 348.6416 +#> Iteration 1: Changes / Distsum = 200 / 468.2995 +#> Iteration 2: Changes / Distsum = 15 / 408.2179 +#> Iteration 3: Changes / Distsum = 0 / 408.2179 #> -#> Elapsed time is 0.105 seconds. +#> Elapsed time is 0.154 seconds. #> diff --git a/reference/lcMethodMixAK_GLMM.html b/reference/lcMethodMixAK_GLMM.html index 77383327..d991049e 100644 --- a/reference/lcMethodMixAK_GLMM.html +++ b/reference/lcMethodMixAK_GLMM.html @@ -167,13 +167,13 @@

Examples

#> #> Cluster sizes (K=3): #> A B C -#> 79 (27.7%) 0 (24.6%) 121 (47.8%) +#> 2 (15.1%) 77 (40.7%) 121 (44.2%) #> #> Number of obs: 2000, strata (Id): 200 #> #> Scaled residuals: #> Min. 1st Qu. Median Mean 3rd Qu. Max. -#> -3.98524 -0.61917 0.04097 0.00000 0.66109 3.39975 +#> -3.94448 -0.66133 0.02804 0.00000 0.62692 3.21439 #> diff --git a/reference/lcModel-1.png b/reference/lcModel-1.png index 5edb4e61..0d3ce254 100644 Binary files a/reference/lcModel-1.png and b/reference/lcModel-1.png differ diff --git a/reference/min.lcModels.html b/reference/min.lcModels.html index 6d31a191..5f2eb271 100644 --- a/reference/min.lcModels.html +++ b/reference/min.lcModels.html @@ -148,7 +148,7 @@

Examples

#> #> Cluster sizes (K=3): #> A B C -#> 50 (25%) 72 (36%) 78 (39%) +#> 72 (36%) 50 (25%) 78 (39%) #> #> Number of obs: 2000, strata (Id): 200 #> diff --git a/reference/nClusters.html b/reference/nClusters.html index 21d1634e..10b9f755 100644 --- a/reference/nClusters.html +++ b/reference/nClusters.html @@ -134,7 +134,7 @@

Examples

method <- lcMethodRandom("Y", id = "Id", time = "Time", nClusters = 3) model <- latrend(method, latrendData) nClusters(model) # 3 -#> Error in (function (classes, fdef, mtable) { methods <- .findInheritedMethods(classes, fdef, mtable) if (length(methods) == 1L) return(methods[[1L]]) else if (length(methods) == 0L) { cnames <- paste0("\"", vapply(classes, as.character, ""), "\"", collapse = ", ") stop(gettextf("unable to find an inherited method for function %s for signature %s", sQuote(fdef@generic), sQuote(cnames)), domain = NA) } else stop("Internal error in finding inherited methods; didn't return a unique method", domain = NA)})(list(structure("lcModelPartition", package = "latrend")), new("standardGeneric", .Data = function (object, ...) standardGeneric("nClusters"), generic = structure("nClusters", package = "clValid"), package = "clValid", group = list(), valueClass = character(0), signature = "object", default = NULL, skeleton = (function (object, ...) stop(gettextf("invalid call in method dispatch to '%s' (no default method)", "nClusters"), domain = NA))(object, ...)), <environment>): unable to find an inherited method for function ‘nClusters’ for signature ‘"lcModelPartition"’ +#> Error: unable to find an inherited method for function ‘nClusters’ for signature ‘object = "lcModelPartition"’ diff --git a/reference/plot-lcModel-method-1.png b/reference/plot-lcModel-method-1.png index 1e371db4..2ccaa887 100644 Binary files a/reference/plot-lcModel-method-1.png and b/reference/plot-lcModel-method-1.png differ diff --git a/reference/plot-lcModel-method.html b/reference/plot-lcModel-method.html index d814cfb4..df5fffa3 100644 --- a/reference/plot-lcModel-method.html +++ b/reference/plot-lcModel-method.html @@ -1,5 +1,6 @@ -Plot a lcModel — plot-lcModel-method • latrendPlot a lcModel — plot-lcModel-method • latrend @@ -62,7 +63,8 @@

Plot a lcModel

-

Plot a lcModel object. By default, this plots the cluster trajectories of the model, along with the training data.

+

Plot a lcModel object. +By default, this plots the cluster trajectories of the model, along with the trajectories used for estimation.

diff --git a/reference/plotClusterTrajectories-1.png b/reference/plotClusterTrajectories-1.png index a5219c01..0904b9c0 100644 Binary files a/reference/plotClusterTrajectories-1.png and b/reference/plotClusterTrajectories-1.png differ diff --git a/reference/plotClusterTrajectories.html b/reference/plotClusterTrajectories.html index 75eaa049..9402f29e 100644 --- a/reference/plotClusterTrajectories.html +++ b/reference/plotClusterTrajectories.html @@ -92,7 +92,6 @@

Plot cluster trajectories

clusterLabeler = make.clusterPropLabels, trajectories = FALSE, facet = !isFALSE(as.logical(trajectories[1])), - trajAssignments = trajectoryAssignments(object), ... )
@@ -162,10 +161,6 @@

Arguments

at

A numeric vector of the times at which to compute the cluster trajectories.

- -
trajAssignments
-

The cluster assignments for the fitted trajectories. Only used when trajectories = TRUE and facet = TRUE. See trajectoryAssignments.

-

Value

diff --git a/reference/plotFittedTrajectories-1.png b/reference/plotFittedTrajectories-1.png index dbc9e4c0..95b9961e 100644 Binary files a/reference/plotFittedTrajectories-1.png and b/reference/plotFittedTrajectories-1.png differ diff --git a/reference/plotTrajectories-1.png b/reference/plotTrajectories-1.png index b73eb6cc..291bbf10 100644 Binary files a/reference/plotTrajectories-1.png and b/reference/plotTrajectories-1.png differ diff --git a/reference/plotTrajectories-2.png b/reference/plotTrajectories-2.png index fb8e7d23..8876dc26 100644 Binary files a/reference/plotTrajectories-2.png and b/reference/plotTrajectories-2.png differ diff --git a/reference/plotTrajectories.html b/reference/plotTrajectories.html index 2f4a1fad..8730a538 100644 --- a/reference/plotTrajectories.html +++ b/reference/plotTrajectories.html @@ -72,9 +72,9 @@

Plot the data trajectories

plotTrajectories( object, response, + cluster, time = getOption("latrend.time"), id = getOption("latrend.id"), - cluster = NULL, facet = TRUE, ... ) @@ -104,6 +104,12 @@

Arguments

Response variable character name or a call.

+
cluster
+

Whether to plot trajectories grouped by cluster (determined by the "Cluster" column). +Alternatively, the name of the cluster column indicating trajectory cluster membership. +If unspecified, trajectories are grouped if the object contains a "Cluster" column.

+ +
time

The time variable name, see timeVariable.

@@ -112,11 +118,6 @@

Arguments

The identifier variable name, see idVariable.

-
cluster
-

Cluster variable name. If unspecified, trajectories are not grouped. -Alternatively, cluster is a vector indicating cluster membership per id.

- -
facet

Whether to facet by cluster.

@@ -149,16 +150,6 @@

Examples

time = "Time", cluster = "Class" ) - - # compute cluster membership based on the mean being below 0 - assignments <- aggregate(Y ~ Id, latrendData, mean)$Y < 0 - plotTrajectories( - latrendData, - response = "Y", - id = "Id", - time = "Time", - cluster = assignments - ) } data(latrendData) diff --git a/reference/postprob.html b/reference/postprob.html index 41749593..9fbae613 100644 --- a/reference/postprob.html +++ b/reference/postprob.html @@ -158,206 +158,206 @@

Examples

postprob(model) #> A B -#> [1,] 0 1 -#> [2,] 0 1 -#> [3,] 0 1 -#> [4,] 0 1 -#> [5,] 0 1 -#> [6,] 0 1 -#> [7,] 0 1 -#> [8,] 0 1 -#> [9,] 0 1 -#> [10,] 0 1 -#> [11,] 0 1 -#> [12,] 0 1 -#> [13,] 0 1 -#> [14,] 0 1 -#> [15,] 0 1 -#> [16,] 0 1 -#> [17,] 0 1 -#> [18,] 0 1 -#> [19,] 0 1 -#> [20,] 0 1 -#> [21,] 0 1 -#> [22,] 0 1 -#> [23,] 0 1 -#> [24,] 0 1 -#> [25,] 0 1 -#> [26,] 0 1 -#> [27,] 0 1 -#> [28,] 0 1 -#> [29,] 0 1 -#> [30,] 0 1 -#> [31,] 0 1 -#> [32,] 0 1 -#> [33,] 0 1 -#> [34,] 0 1 -#> [35,] 0 1 -#> [36,] 0 1 -#> [37,] 0 1 -#> [38,] 0 1 -#> [39,] 0 1 -#> [40,] 0 1 -#> [41,] 0 1 -#> [42,] 0 1 -#> [43,] 0 1 -#> [44,] 0 1 -#> [45,] 0 1 -#> [46,] 0 1 -#> [47,] 0 1 -#> [48,] 0 1 -#> [49,] 0 1 -#> [50,] 0 1 -#> [51,] 0 1 -#> [52,] 0 1 -#> [53,] 0 1 -#> [54,] 0 1 -#> [55,] 0 1 -#> [56,] 0 1 -#> [57,] 0 1 -#> [58,] 0 1 -#> [59,] 0 1 -#> [60,] 0 1 -#> [61,] 0 1 -#> [62,] 0 1 -#> [63,] 0 1 -#> [64,] 0 1 -#> [65,] 0 1 -#> [66,] 0 1 -#> [67,] 0 1 -#> [68,] 0 1 -#> [69,] 0 1 -#> [70,] 0 1 -#> [71,] 0 1 -#> [72,] 0 1 -#> [73,] 0 1 -#> [74,] 0 1 -#> [75,] 0 1 -#> [76,] 0 1 -#> [77,] 0 1 -#> [78,] 0 1 -#> [79,] 0 1 -#> [80,] 0 1 -#> [81,] 1 0 -#> [82,] 1 0 -#> [83,] 1 0 -#> [84,] 1 0 -#> [85,] 1 0 -#> [86,] 1 0 -#> [87,] 1 0 -#> [88,] 1 0 -#> [89,] 1 0 -#> [90,] 1 0 -#> [91,] 1 0 -#> [92,] 1 0 -#> [93,] 1 0 -#> [94,] 1 0 -#> [95,] 1 0 -#> [96,] 1 0 -#> [97,] 1 0 -#> [98,] 1 0 -#> [99,] 1 0 -#> [100,] 1 0 -#> [101,] 1 0 -#> [102,] 1 0 -#> [103,] 1 0 -#> [104,] 1 0 -#> [105,] 1 0 -#> [106,] 1 0 -#> [107,] 1 0 -#> [108,] 1 0 -#> [109,] 1 0 -#> [110,] 1 0 -#> [111,] 1 0 -#> [112,] 1 0 -#> [113,] 1 0 -#> [114,] 1 0 -#> [115,] 1 0 -#> [116,] 1 0 -#> [117,] 1 0 -#> [118,] 1 0 -#> [119,] 1 0 -#> [120,] 1 0 -#> [121,] 1 0 -#> [122,] 1 0 -#> [123,] 1 0 -#> [124,] 1 0 -#> [125,] 1 0 -#> [126,] 1 0 -#> [127,] 1 0 -#> [128,] 1 0 -#> [129,] 1 0 -#> [130,] 1 0 -#> [131,] 1 0 -#> [132,] 1 0 -#> [133,] 1 0 -#> [134,] 1 0 -#> [135,] 1 0 -#> [136,] 1 0 -#> [137,] 1 0 -#> [138,] 1 0 -#> [139,] 1 0 -#> [140,] 1 0 -#> [141,] 1 0 -#> [142,] 1 0 -#> [143,] 1 0 -#> [144,] 1 0 -#> [145,] 1 0 -#> [146,] 1 0 -#> [147,] 1 0 -#> [148,] 1 0 -#> [149,] 1 0 -#> [150,] 1 0 -#> [151,] 1 0 -#> [152,] 1 0 -#> [153,] 1 0 -#> [154,] 1 0 -#> [155,] 1 0 -#> [156,] 1 0 -#> [157,] 1 0 -#> [158,] 1 0 -#> [159,] 1 0 -#> [160,] 1 0 -#> [161,] 1 0 -#> [162,] 1 0 -#> [163,] 1 0 -#> [164,] 1 0 -#> [165,] 1 0 -#> [166,] 1 0 -#> [167,] 1 0 -#> [168,] 1 0 -#> [169,] 1 0 -#> [170,] 1 0 -#> [171,] 1 0 -#> [172,] 1 0 -#> [173,] 1 0 -#> [174,] 1 0 -#> [175,] 1 0 -#> [176,] 1 0 -#> [177,] 1 0 -#> [178,] 1 0 -#> [179,] 1 0 -#> [180,] 1 0 -#> [181,] 1 0 -#> [182,] 1 0 -#> [183,] 1 0 -#> [184,] 1 0 -#> [185,] 1 0 -#> [186,] 1 0 -#> [187,] 1 0 -#> [188,] 1 0 -#> [189,] 1 0 -#> [190,] 1 0 -#> [191,] 1 0 -#> [192,] 1 0 -#> [193,] 1 0 -#> [194,] 1 0 -#> [195,] 1 0 -#> [196,] 1 0 -#> [197,] 1 0 -#> [198,] 1 0 -#> [199,] 1 0 -#> [200,] 1 0 +#> [1,] 1 0 +#> [2,] 1 0 +#> [3,] 1 0 +#> [4,] 1 0 +#> [5,] 1 0 +#> [6,] 1 0 +#> [7,] 1 0 +#> [8,] 1 0 +#> [9,] 1 0 +#> [10,] 1 0 +#> [11,] 1 0 +#> [12,] 1 0 +#> [13,] 1 0 +#> [14,] 1 0 +#> [15,] 1 0 +#> [16,] 1 0 +#> [17,] 1 0 +#> [18,] 1 0 +#> [19,] 1 0 +#> [20,] 1 0 +#> [21,] 1 0 +#> [22,] 1 0 +#> [23,] 1 0 +#> [24,] 1 0 +#> [25,] 1 0 +#> [26,] 1 0 +#> [27,] 1 0 +#> [28,] 1 0 +#> [29,] 1 0 +#> [30,] 1 0 +#> [31,] 1 0 +#> [32,] 1 0 +#> [33,] 1 0 +#> [34,] 1 0 +#> [35,] 1 0 +#> [36,] 1 0 +#> [37,] 1 0 +#> [38,] 1 0 +#> [39,] 1 0 +#> [40,] 1 0 +#> [41,] 1 0 +#> [42,] 1 0 +#> [43,] 1 0 +#> [44,] 1 0 +#> [45,] 1 0 +#> [46,] 1 0 +#> [47,] 1 0 +#> [48,] 1 0 +#> [49,] 1 0 +#> [50,] 1 0 +#> [51,] 1 0 +#> [52,] 1 0 +#> [53,] 1 0 +#> [54,] 1 0 +#> [55,] 1 0 +#> [56,] 1 0 +#> [57,] 1 0 +#> [58,] 1 0 +#> [59,] 1 0 +#> [60,] 1 0 +#> [61,] 1 0 +#> [62,] 1 0 +#> [63,] 1 0 +#> [64,] 1 0 +#> [65,] 1 0 +#> [66,] 1 0 +#> [67,] 1 0 +#> [68,] 1 0 +#> [69,] 1 0 +#> [70,] 1 0 +#> [71,] 1 0 +#> [72,] 1 0 +#> [73,] 1 0 +#> [74,] 1 0 +#> [75,] 1 0 +#> [76,] 1 0 +#> [77,] 1 0 +#> [78,] 1 0 +#> [79,] 1 0 +#> [80,] 1 0 +#> [81,] 0 1 +#> [82,] 0 1 +#> [83,] 0 1 +#> [84,] 0 1 +#> [85,] 0 1 +#> [86,] 0 1 +#> [87,] 0 1 +#> [88,] 0 1 +#> [89,] 0 1 +#> [90,] 0 1 +#> [91,] 0 1 +#> [92,] 0 1 +#> [93,] 0 1 +#> [94,] 0 1 +#> [95,] 0 1 +#> [96,] 0 1 +#> [97,] 0 1 +#> [98,] 0 1 +#> [99,] 0 1 +#> [100,] 0 1 +#> [101,] 0 1 +#> [102,] 0 1 +#> [103,] 0 1 +#> [104,] 0 1 +#> [105,] 0 1 +#> [106,] 0 1 +#> [107,] 0 1 +#> [108,] 0 1 +#> [109,] 0 1 +#> [110,] 0 1 +#> [111,] 0 1 +#> [112,] 0 1 +#> [113,] 0 1 +#> [114,] 0 1 +#> [115,] 0 1 +#> [116,] 0 1 +#> [117,] 0 1 +#> [118,] 0 1 +#> [119,] 0 1 +#> [120,] 0 1 +#> [121,] 0 1 +#> [122,] 0 1 +#> [123,] 0 1 +#> [124,] 0 1 +#> [125,] 0 1 +#> [126,] 0 1 +#> [127,] 0 1 +#> [128,] 0 1 +#> [129,] 0 1 +#> [130,] 0 1 +#> [131,] 0 1 +#> [132,] 0 1 +#> [133,] 0 1 +#> [134,] 0 1 +#> [135,] 0 1 +#> [136,] 0 1 +#> [137,] 0 1 +#> [138,] 0 1 +#> [139,] 0 1 +#> [140,] 0 1 +#> [141,] 0 1 +#> [142,] 0 1 +#> [143,] 0 1 +#> [144,] 0 1 +#> [145,] 0 1 +#> [146,] 0 1 +#> [147,] 0 1 +#> [148,] 0 1 +#> [149,] 0 1 +#> [150,] 0 1 +#> [151,] 0 1 +#> [152,] 0 1 +#> [153,] 0 1 +#> [154,] 0 1 +#> [155,] 0 1 +#> [156,] 0 1 +#> [157,] 0 1 +#> [158,] 0 1 +#> [159,] 0 1 +#> [160,] 0 1 +#> [161,] 0 1 +#> [162,] 0 1 +#> [163,] 0 1 +#> [164,] 0 1 +#> [165,] 0 1 +#> [166,] 0 1 +#> [167,] 0 1 +#> [168,] 0 1 +#> [169,] 0 1 +#> [170,] 0 1 +#> [171,] 0 1 +#> [172,] 0 1 +#> [173,] 0 1 +#> [174,] 0 1 +#> [175,] 0 1 +#> [176,] 0 1 +#> [177,] 0 1 +#> [178,] 0 1 +#> [179,] 0 1 +#> [180,] 0 1 +#> [181,] 0 1 +#> [182,] 0 1 +#> [183,] 0 1 +#> [184,] 0 1 +#> [185,] 0 1 +#> [186,] 0 1 +#> [187,] 0 1 +#> [188,] 0 1 +#> [189,] 0 1 +#> [190,] 0 1 +#> [191,] 0 1 +#> [192,] 0 1 +#> [193,] 0 1 +#> [194,] 0 1 +#> [195,] 0 1 +#> [196,] 0 1 +#> [197,] 0 1 +#> [198,] 0 1 +#> [199,] 0 1 +#> [200,] 0 1 if (rlang::is_installed("lcmm")) { gmmMethod = lcMethodLcmmGMM( diff --git a/reference/qqPlot-1.png b/reference/qqPlot-1.png index 93f2c7b9..7d6304b0 100644 Binary files a/reference/qqPlot-1.png and b/reference/qqPlot-1.png differ diff --git a/reference/trajectories.html b/reference/trajectories.html index 6cb6cfd9..55906d63 100644 --- a/reference/trajectories.html +++ b/reference/trajectories.html @@ -1,6 +1,8 @@ -Extract the trajectories — trajectories • latrendGet the trajectories — trajectories • latrend @@ -57,14 +59,16 @@

Transform or extract the trajectories from the given object to a standardized format.

-

The standardized data format is for method estimation by latrend, and for plotting functions.

+

Trajectories are ordered by Id and observation time.

+

For estimated models; get the trajectories used for estimation, along with the cluster membership. +This data can be used for plotting or post-hoc analysis.

@@ -73,6 +77,7 @@

Extract the trajectories

id = idVariable(object), time = timeVariable(object), response = responseVariable(object), + cluster = "Cluster", ... ) @@ -82,6 +87,7 @@

Extract the trajectories

id = idVariable(object), time = timeVariable(object), response = responseVariable(object), + cluster = "Cluster", ... ) @@ -91,6 +97,7 @@

Extract the trajectories

id = idVariable(object), time = timeVariable(object), response = responseVariable(object), + cluster = "Cluster", ... ) @@ -103,6 +110,7 @@

Extract the trajectories

id = idVariable(object), time = timeVariable(object), response = responseVariable(object), + cluster = "Cluster", ... )
@@ -125,8 +133,12 @@

Arguments

The response variable name, see responseVariable.

+
cluster
+

Experimental feature for data.frame input: a vector of cluster membership per id

+ +
...
-

Not used.

+

Arguments passed to trajectoryAssignments for generating the Cluster column.

envir
@@ -137,17 +149,2027 @@

Arguments

Value

-

A data.frame with columns matching the id, time, and response name arguments.

+

A data.frame with columns matching the id, time, response and cluster name arguments.

Details

-

The generic function removes unused factor levels in the Id column, and any trajectories which are only comprised of NAs in the response.

+

The standardized data format is for method estimation by latrend, and for plotting functions.

+

The generic function removes unused factor levels in the Id column, and any trajectories which are only comprised of NAs in the response.

See also

+
+

Examples

+
data(latrendData)
+method <- lcMethodLMKM(Y ~ Time, id = "Id", time = "Time")
+model <- latrend(method, latrendData)
+trajectories(model)
+#>       Id      Time             Y Cluster
+#> 1      1 0.0000000 -1.080492e+00       A
+#> 2      1 0.2222222 -6.802415e-01       A
+#> 3      1 0.4444444 -6.514837e-01       A
+#> 4      1 0.6666667 -3.911540e-01       A
+#> 5      1 0.8888889 -1.940788e-01       A
+#> 6      1 1.1111111 -2.991783e-02       A
+#> 7      1 1.3333333  9.158311e-02       A
+#> 8      1 1.5555556  1.797706e-01       A
+#> 9      1 1.7777778  3.951063e-01       A
+#> 10     1 2.0000000  1.832502e-01       A
+#> 11     2 0.0000000 -9.837238e-01       A
+#> 12     2 0.2222222 -5.473079e-01       A
+#> 13     2 0.4444444 -2.072449e-01       A
+#> 14     2 0.6666667 -1.436001e-01       A
+#> 15     2 0.8888889  9.662936e-02       A
+#> 16     2 1.1111111  3.741209e-01       A
+#> 17     2 1.3333333  5.583489e-01       A
+#> 18     2 1.5555556  5.267654e-01       A
+#> 19     2 1.7777778  4.646849e-01       A
+#> 20     2 2.0000000  7.948924e-01       A
+#> 21     3 0.0000000 -1.107182e+00       A
+#> 22     3 0.2222222 -9.905167e-01       A
+#> 23     3 0.4444444 -6.342835e-01       A
+#> 24     3 0.6666667 -5.515270e-01       A
+#> 25     3 0.8888889 -1.059173e-01       A
+#> 26     3 1.1111111  1.715294e-01       A
+#> 27     3 1.3333333 -1.975520e-02       A
+#> 28     3 1.5555556  1.601880e-01       A
+#> 29     3 1.7777778  2.286929e-01       A
+#> 30     3 2.0000000  2.398571e-01       A
+#> 31     4 0.0000000 -7.247443e-01       A
+#> 32     4 0.2222222 -1.614159e-01       A
+#> 33     4 0.4444444 -9.429476e-02       A
+#> 34     4 0.6666667  2.872764e-01       A
+#> 35     4 0.8888889  5.404596e-01       A
+#> 36     4 1.1111111  6.132204e-01       A
+#> 37     4 1.3333333  8.346134e-01       A
+#> 38     4 1.5555556  8.157076e-01       A
+#> 39     4 1.7777778  7.868733e-01       A
+#> 40     4 2.0000000  9.101294e-01       A
+#> 41     5 0.0000000 -9.445309e-01       A
+#> 42     5 0.2222222 -4.356978e-01       A
+#> 43     5 0.4444444 -3.661023e-01       A
+#> 44     5 0.6666667 -6.981846e-02       A
+#> 45     5 0.8888889  3.508655e-02       A
+#> 46     5 1.1111111 -1.560706e-01       A
+#> 47     5 1.3333333  9.878099e-02       A
+#> 48     5 1.5555556  2.441337e-01       A
+#> 49     5 1.7777778  3.218698e-01       A
+#> 50     5 2.0000000  3.605647e-02       A
+#> 51     6 0.0000000 -1.149971e+00       A
+#> 52     6 0.2222222 -9.652510e-01       A
+#> 53     6 0.4444444 -6.782703e-01       A
+#> 54     6 0.6666667 -4.962241e-01       A
+#> 55     6 0.8888889 -2.632388e-01       A
+#> 56     6 1.1111111  7.109115e-02       A
+#> 57     6 1.3333333  2.601961e-01       A
+#> 58     6 1.5555556  1.037659e-01       A
+#> 59     6 1.7777778  2.779068e-01       A
+#> 60     6 2.0000000  4.572028e-01       A
+#> 61     7 0.0000000 -8.990750e-01       A
+#> 62     7 0.2222222 -3.162423e-01       A
+#> 63     7 0.4444444 -1.267186e-01       A
+#> 64     7 0.6666667  5.023628e-02       A
+#> 65     7 0.8888889  1.936485e-01       A
+#> 66     7 1.1111111  3.840635e-01       A
+#> 67     7 1.3333333  4.089981e-01       A
+#> 68     7 1.5555556  6.263455e-01       A
+#> 69     7 1.7777778  7.560140e-01       A
+#> 70     7 2.0000000  7.212783e-01       A
+#> 71     8 0.0000000 -8.598270e-01       A
+#> 72     8 0.2222222 -6.207953e-01       A
+#> 73     8 0.4444444 -1.897843e-01       A
+#> 74     8 0.6666667  1.058528e-01       A
+#> 75     8 0.8888889  3.979398e-01       A
+#> 76     8 1.1111111  2.925497e-01       A
+#> 77     8 1.3333333  5.829132e-01       A
+#> 78     8 1.5555556  6.523827e-01       A
+#> 79     8 1.7777778  7.914801e-01       A
+#> 80     8 2.0000000  6.728391e-01       A
+#> 81     9 0.0000000 -8.629955e-01       A
+#> 82     9 0.2222222 -6.285156e-01       A
+#> 83     9 0.4444444 -2.916511e-01       A
+#> 84     9 0.6666667 -4.170240e-02       A
+#> 85     9 0.8888889  4.244783e-01       A
+#> 86     9 1.1111111  5.894826e-01       A
+#> 87     9 1.3333333  4.440597e-01       A
+#> 88     9 1.5555556  4.327576e-01       A
+#> 89     9 1.7777778  3.767190e-01       A
+#> 90     9 2.0000000  6.228616e-01       A
+#> 91    10 0.0000000 -1.200674e+00       A
+#> 92    10 0.2222222 -5.439025e-01       A
+#> 93    10 0.4444444 -5.811882e-01       A
+#> 94    10 0.6666667 -2.412800e-01       A
+#> 95    10 0.8888889  3.293666e-01       A
+#> 96    10 1.1111111 -1.328653e-03       A
+#> 97    10 1.3333333  2.620363e-01       A
+#> 98    10 1.5555556  2.028012e-01       A
+#> 99    10 1.7777778  3.909610e-01       A
+#> 100   10 2.0000000  2.720679e-01       A
+#> 101   11 0.0000000 -5.387353e-01       A
+#> 102   11 0.2222222 -2.643987e-01       A
+#> 103   11 0.4444444 -8.078835e-02       A
+#> 104   11 0.6666667  2.714066e-01       A
+#> 105   11 0.8888889  5.626728e-01       A
+#> 106   11 1.1111111  7.766386e-01       A
+#> 107   11 1.3333333  5.941937e-01       A
+#> 108   11 1.5555556  7.812206e-01       A
+#> 109   11 1.7777778  9.573348e-01       A
+#> 110   11 2.0000000  7.256745e-01       A
+#> 111   12 0.0000000 -1.135897e+00       A
+#> 112   12 0.2222222 -6.583827e-01       A
+#> 113   12 0.4444444 -3.827679e-01       A
+#> 114   12 0.6666667 -4.205279e-02       A
+#> 115   12 0.8888889  1.125608e-01       A
+#> 116   12 1.1111111  3.363140e-01       A
+#> 117   12 1.3333333  3.916509e-01       A
+#> 118   12 1.5555556  5.525176e-01       A
+#> 119   12 1.7777778  5.202166e-01       A
+#> 120   12 2.0000000  6.780326e-01       A
+#> 121   13 0.0000000 -1.260105e+00       A
+#> 122   13 0.2222222 -8.481724e-01       A
+#> 123   13 0.4444444 -6.960972e-01       A
+#> 124   13 0.6666667 -3.566909e-01       A
+#> 125   13 0.8888889 -1.916500e-01       A
+#> 126   13 1.1111111 -2.042207e-01       A
+#> 127   13 1.3333333  6.141094e-02       A
+#> 128   13 1.5555556  2.659510e-01       A
+#> 129   13 1.7777778  2.486595e-01       A
+#> 130   13 2.0000000  1.879279e-01       A
+#> 131   14 0.0000000 -1.783642e+00       A
+#> 132   14 0.2222222 -1.249131e+00       A
+#> 133   14 0.4444444 -1.099285e+00       A
+#> 134   14 0.6666667 -9.330387e-01       A
+#> 135   14 0.8888889 -5.438213e-01       A
+#> 136   14 1.1111111 -6.446524e-01       A
+#> 137   14 1.3333333 -4.365322e-01       A
+#> 138   14 1.5555556 -2.773758e-01       A
+#> 139   14 1.7777778 -3.235148e-01       A
+#> 140   14 2.0000000 -4.321330e-01       A
+#> 141   15 0.0000000 -7.043625e-01       A
+#> 142   15 0.2222222 -3.024509e-01       A
+#> 143   15 0.4444444 -1.566331e-03       A
+#> 144   15 0.6666667  1.944902e-01       A
+#> 145   15 0.8888889  5.305120e-01       A
+#> 146   15 1.1111111  5.586155e-01       A
+#> 147   15 1.3333333  6.221944e-01       A
+#> 148   15 1.5555556  8.334759e-01       A
+#> 149   15 1.7777778  6.075780e-01       A
+#> 150   15 2.0000000  8.754605e-01       A
+#> 151   16 0.0000000 -9.637840e-01       A
+#> 152   16 0.2222222 -7.055013e-01       A
+#> 153   16 0.4444444 -5.037680e-01       A
+#> 154   16 0.6666667 -1.800992e-01       A
+#> 155   16 0.8888889  2.263311e-01       A
+#> 156   16 1.1111111  1.694383e-01       A
+#> 157   16 1.3333333  1.435539e-01       A
+#> 158   16 1.5555556  5.513790e-01       A
+#> 159   16 1.7777778  4.739464e-01       A
+#> 160   16 2.0000000  4.874058e-01       A
+#> 161   17 0.0000000 -1.126393e+00       A
+#> 162   17 0.2222222 -6.969631e-01       A
+#> 163   17 0.4444444 -3.539397e-01       A
+#> 164   17 0.6666667 -2.516744e-01       A
+#> 165   17 0.8888889 -6.196773e-02       A
+#> 166   17 1.1111111  2.604942e-01       A
+#> 167   17 1.3333333  2.386981e-01       A
+#> 168   17 1.5555556  3.205717e-01       A
+#> 169   17 1.7777778  3.075906e-01       A
+#> 170   17 2.0000000  4.543123e-01       A
+#> 171   18 0.0000000 -8.162685e-01       A
+#> 172   18 0.2222222 -3.322693e-01       A
+#> 173   18 0.4444444 -7.647547e-02       A
+#> 174   18 0.6666667  1.683667e-02       A
+#> 175   18 0.8888889  3.295751e-01       A
+#> 176   18 1.1111111  4.850401e-01       A
+#> 177   18 1.3333333  5.460491e-01       A
+#> 178   18 1.5555556  7.535891e-01       A
+#> 179   18 1.7777778  3.779811e-01       A
+#> 180   18 2.0000000  4.413298e-01       A
+#> 181   19 0.0000000 -8.912856e-01       A
+#> 182   19 0.2222222 -4.161494e-01       A
+#> 183   19 0.4444444  6.755616e-03       A
+#> 184   19 0.6666667  2.577855e-01       A
+#> 185   19 0.8888889  3.410240e-01       A
+#> 186   19 1.1111111  5.427533e-01       A
+#> 187   19 1.3333333  5.635838e-01       A
+#> 188   19 1.5555556  7.086477e-01       A
+#> 189   19 1.7777778  7.435472e-01       A
+#> 190   19 2.0000000  6.344865e-01       A
+#> 191   20 0.0000000 -8.511591e-01       A
+#> 192   20 0.2222222 -5.222303e-01       A
+#> 193   20 0.4444444 -9.578424e-02       A
+#> 194   20 0.6666667 -1.047966e-01       A
+#> 195   20 0.8888889 -1.796624e-02       A
+#> 196   20 1.1111111  4.253539e-01       A
+#> 197   20 1.3333333  3.824626e-01       A
+#> 198   20 1.5555556  4.965144e-01       A
+#> 199   20 1.7777778  6.671359e-01       A
+#> 200   20 2.0000000  4.973909e-01       A
+#> 201   21 0.0000000 -7.584135e-01       A
+#> 202   21 0.2222222 -2.797421e-01       A
+#> 203   21 0.4444444 -1.223377e-01       A
+#> 204   21 0.6666667  9.436062e-02       A
+#> 205   21 0.8888889  2.022779e-01       A
+#> 206   21 1.1111111  2.385694e-01       A
+#> 207   21 1.3333333  2.993715e-01       A
+#> 208   21 1.5555556  4.839809e-01       A
+#> 209   21 1.7777778  7.242704e-01       A
+#> 210   21 2.0000000  5.245418e-01       A
+#> 211   22 0.0000000 -7.489218e-01       A
+#> 212   22 0.2222222 -4.184928e-01       A
+#> 213   22 0.4444444 -2.161782e-01       A
+#> 214   22 0.6666667 -8.294123e-02       A
+#> 215   22 0.8888889  5.195937e-01       A
+#> 216   22 1.1111111  3.652302e-01       A
+#> 217   22 1.3333333  4.938118e-01       A
+#> 218   22 1.5555556  4.210046e-01       A
+#> 219   22 1.7777778  6.124987e-01       A
+#> 220   22 2.0000000  6.101237e-01       A
+#> 221   23 0.0000000 -1.003182e+00       A
+#> 222   23 0.2222222 -8.497474e-01       A
+#> 223   23 0.4444444 -2.255166e-01       A
+#> 224   23 0.6666667 -5.965912e-05       A
+#> 225   23 0.8888889  8.060012e-02       A
+#> 226   23 1.1111111  5.011825e-02       A
+#> 227   23 1.3333333  3.406893e-01       A
+#> 228   23 1.5555556  3.141312e-01       A
+#> 229   23 1.7777778  3.368333e-01       A
+#> 230   23 2.0000000  4.956039e-01       A
+#> 231   24 0.0000000 -1.719594e+00       A
+#> 232   24 0.2222222 -1.338136e+00       A
+#> 233   24 0.4444444 -1.089848e+00       A
+#> 234   24 0.6666667 -7.839737e-01       A
+#> 235   24 0.8888889 -7.519621e-01       A
+#> 236   24 1.1111111 -5.132420e-01       A
+#> 237   24 1.3333333 -2.590546e-01       A
+#> 238   24 1.5555556 -2.113717e-01       A
+#> 239   24 1.7777778 -3.220349e-01       A
+#> 240   24 2.0000000 -1.749806e-01       A
+#> 241   25 0.0000000 -1.057316e+00       A
+#> 242   25 0.2222222 -5.473713e-01       A
+#> 243   25 0.4444444 -1.807962e-01       A
+#> 244   25 0.6666667 -9.628620e-02       A
+#> 245   25 0.8888889  1.481882e-01       A
+#> 246   25 1.1111111  1.352046e-01       A
+#> 247   25 1.3333333  4.825111e-01       A
+#> 248   25 1.5555556  2.763853e-01       A
+#> 249   25 1.7777778  4.532454e-01       A
+#> 250   25 2.0000000  4.447657e-01       A
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+#> 253   26 0.4444444 -2.061414e-01       A
+#> 254   26 0.6666667 -2.775033e-01       A
+#> 255   26 0.8888889  1.059987e-01       A
+#> 256   26 1.1111111 -3.780193e-02       A
+#> 257   26 1.3333333  3.925013e-01       A
+#> 258   26 1.5555556  5.398044e-01       A
+#> 259   26 1.7777778  4.374378e-01       A
+#> 260   26 2.0000000  6.339589e-01       A
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+#> 263   27 0.4444444 -5.507768e-01       A
+#> 264   27 0.6666667 -3.326122e-01       A
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+#> 267   27 1.3333333  8.619469e-02       A
+#> 268   27 1.5555556  3.617543e-01       A
+#> 269   27 1.7777778  3.334246e-01       A
+#> 270   27 2.0000000  5.391234e-01       A
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+#> 274   28 0.6666667 -8.181834e-01       A
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+#> 278   28 1.5555556 -2.739781e-01       A
+#> 279   28 1.7777778 -1.603782e-01       A
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+#> 283   29 0.4444444 -5.297449e-01       A
+#> 284   29 0.6666667 -3.003410e-01       A
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+#> 288   29 1.5555556  3.332638e-01       A
+#> 289   29 1.7777778  4.321577e-01       A
+#> 290   29 2.0000000  1.721947e-01       A
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+#> 294   30 0.6666667 -1.192132e-01       A
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+#> 298   30 1.5555556  5.693157e-01       A
+#> 299   30 1.7777778  6.167502e-01       A
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+#> 303   31 0.4444444 -3.564894e-02       A
+#> 304   31 0.6666667  1.955635e-01       A
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+#> 308   31 1.5555556  6.541637e-01       A
+#> 309   31 1.7777778  8.585364e-01       A
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+#> 313   32 0.4444444 -5.311399e-01       A
+#> 314   32 0.6666667 -4.273265e-01       A
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+#> 318   32 1.5555556  2.758898e-01       A
+#> 319   32 1.7777778  1.279352e-01       A
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+#> 323   33 0.4444444 -1.359212e-01       A
+#> 324   33 0.6666667 -9.066441e-02       A
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+#> 327   33 1.3333333  2.106316e-01       A
+#> 328   33 1.5555556  5.182962e-01       A
+#> 329   33 1.7777778  5.119958e-01       A
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+#> 333   34 0.4444444 -5.220501e-01       A
+#> 334   34 0.6666667 -2.732845e-01       A
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+#> 338   34 1.5555556  3.738013e-01       A
+#> 339   34 1.7777778  5.565245e-01       A
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+#> 343   35 0.4444444 -6.985132e-01       A
+#> 344   35 0.6666667 -5.238068e-01       A
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+#> 348   35 1.5555556 -1.335086e-01       A
+#> 349   35 1.7777778  1.642151e-01       A
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+#> 353   36 0.4444444 -6.640738e-01       A
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+#> 358   36 1.5555556  3.338950e-01       A
+#> 359   36 1.7777778  3.509561e-01       A
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+#> 363   37 0.4444444 -6.462939e-01       A
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+#> 368   37 1.5555556  4.189878e-01       A
+#> 369   37 1.7777778  3.480876e-01       A
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+#> 372   38 0.2222222 -8.838731e-01       A
+#> 373   38 0.4444444 -3.636203e-01       A
+#> 374   38 0.6666667 -9.343773e-02       A
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+#> 378   38 1.5555556  2.692907e-01       A
+#> 379   38 1.7777778  2.405849e-01       A
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+#> 383   39 0.4444444 -1.422129e-01       A
+#> 384   39 0.6666667  2.279304e-01       A
+#> 385   39 0.8888889  4.851749e-01       A
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+#> 389   39 1.7777778  8.975424e-01       A
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+#> 403   41 0.4444444 -3.464566e-01       A
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+#> 409   41 1.7777778  4.887502e-01       A
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+#> 418   42 1.5555556  1.989266e-01       A
+#> 419   42 1.7777778  2.520144e-01       A
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+#> 423   43 0.4444444 -1.689078e-01       A
+#> 424   43 0.6666667  4.686052e-02       A
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+#> 428   43 1.5555556  8.268523e-01       A
+#> 429   43 1.7777778  4.902225e-01       A
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+#> 434   44 0.6666667 -9.644073e-02       A
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+#> 438   44 1.5555556  4.943136e-01       A
+#> 439   44 1.7777778  3.871101e-01       A
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+#> 513   52 0.4444444 -7.337936e-01       A
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+#> 553   56 0.4444444  2.597319e-01       A
+#> 554   56 0.6666667  4.759920e-01       A
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+#> 602   61 0.2222222  1.558256e-01       A
+#> 603   61 0.4444444  2.421955e-01       A
+#> 604   61 0.6666667  5.954811e-01       A
+#> 605   61 0.8888889  7.869761e-01       A
+#> 606   61 1.1111111  7.798940e-01       A
+#> 607   61 1.3333333  1.153859e+00       A
+#> 608   61 1.5555556  9.686505e-01       A
+#> 609   61 1.7777778  1.082814e+00       A
+#> 610   61 2.0000000  1.315402e+00       A
+#> 611   62 0.0000000 -1.065859e+00       A
+#> 612   62 0.2222222 -7.241542e-01       A
+#> 613   62 0.4444444 -5.949611e-01       A
+#> 614   62 0.6666667 -3.476207e-01       A
+#> 615   62 0.8888889  2.330349e-02       A
+#> 616   62 1.1111111  1.219885e-01       A
+#> 617   62 1.3333333  1.920249e-01       A
+#> 618   62 1.5555556  1.899834e-01       A
+#> 619   62 1.7777778  2.463684e-01       A
+#> 620   62 2.0000000  5.529146e-01       A
+#> 621   63 0.0000000 -8.257272e-01       A
+#> 622   63 0.2222222 -4.052567e-01       A
+#> 623   63 0.4444444 -1.332417e-01       A
+#> 624   63 0.6666667  9.599095e-02       A
+#> 625   63 0.8888889  2.410497e-01       A
+#> 626   63 1.1111111  2.387296e-01       A
+#> 627   63 1.3333333  3.759049e-01       A
+#> 628   63 1.5555556  6.253784e-01       A
+#> 629   63 1.7777778  4.532818e-01       A
+#> 630   63 2.0000000  6.312428e-01       A
+#> 631   64 0.0000000 -1.044953e+00       A
+#> 632   64 0.2222222 -7.083299e-01       A
+#> 633   64 0.4444444 -4.638484e-01       A
+#> 634   64 0.6666667 -1.638109e-01       A
+#> 635   64 0.8888889  1.515102e-01       A
+#> 636   64 1.1111111  2.742473e-01       A
+#> 637   64 1.3333333  3.312038e-01       A
+#> 638   64 1.5555556  5.275207e-01       A
+#> 639   64 1.7777778  6.526844e-01       A
+#> 640   64 2.0000000  4.935047e-01       A
+#> 641   65 0.0000000 -1.175933e+00       A
+#> 642   65 0.2222222 -8.624729e-01       A
+#> 643   65 0.4444444 -6.949040e-01       A
+#> 644   65 0.6666667 -4.360974e-01       A
+#> 645   65 0.8888889  6.270691e-02       A
+#> 646   65 1.1111111  1.335202e-01       A
+#> 647   65 1.3333333  2.547569e-01       A
+#> 648   65 1.5555556  2.909563e-01       A
+#> 649   65 1.7777778  3.808818e-01       A
+#> 650   65 2.0000000  3.641664e-01       A
+#> 651   66 0.0000000 -9.391624e-01       A
+#> 652   66 0.2222222 -6.044392e-01       A
+#> 653   66 0.4444444 -4.507533e-01       A
+#> 654   66 0.6666667  1.279840e-01       A
+#> 655   66 0.8888889  1.661203e-01       A
+#> 656   66 1.1111111  2.193595e-01       A
+#> 657   66 1.3333333  4.848192e-01       A
+#> 658   66 1.5555556  3.803483e-01       A
+#> 659   66 1.7777778  6.542276e-01       A
+#> 660   66 2.0000000  4.442058e-01       A
+#> 661   67 0.0000000 -1.773637e+00       A
+#> 662   67 0.2222222 -1.096186e+00       A
+#> 663   67 0.4444444 -8.499922e-01       A
+#> 664   67 0.6666667 -8.107698e-01       A
+#> 665   67 0.8888889 -6.840049e-01       A
+#> 666   67 1.1111111 -5.755555e-01       A
+#> 667   67 1.3333333 -3.076457e-01       A
+#> 668   67 1.5555556 -3.922849e-01       A
+#> 669   67 1.7777778 -2.579927e-01       A
+#> 670   67 2.0000000 -1.673488e-01       A
+#> 671   68 0.0000000 -4.747816e-01       A
+#> 672   68 0.2222222 -3.419620e-01       A
+#> 673   68 0.4444444 -1.146424e-02       A
+#> 674   68 0.6666667  2.477464e-01       A
+#> 675   68 0.8888889  5.759936e-01       A
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+#> 677   68 1.3333333  4.888501e-01       A
+#> 678   68 1.5555556  5.280510e-01       A
+#> 679   68 1.7777778  7.920104e-01       A
+#> 680   68 2.0000000  7.147432e-01       A
+#> 681   69 0.0000000 -8.768154e-01       A
+#> 682   69 0.2222222 -6.582058e-01       A
+#> 683   69 0.4444444 -3.344166e-01       A
+#> 684   69 0.6666667 -1.204144e-01       A
+#> 685   69 0.8888889  5.090157e-02       A
+#> 686   69 1.1111111  1.381285e-01       A
+#> 687   69 1.3333333  4.389970e-01       A
+#> 688   69 1.5555556  3.450837e-01       A
+#> 689   69 1.7777778  4.856964e-01       A
+#> 690   69 2.0000000  4.293366e-01       A
+#> 691   70 0.0000000 -1.700641e-01       A
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+#> 693   70 0.4444444  1.847836e-01       A
+#> 694   70 0.6666667  4.417632e-01       A
+#> 695   70 0.8888889  6.147663e-01       A
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+#> 697   70 1.3333333  1.047756e+00       A
+#> 698   70 1.5555556  1.050506e+00       A
+#> 699   70 1.7777778  8.940506e-01       A
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+#> 703   71 0.4444444 -1.264561e-01       A
+#> 704   71 0.6666667 -6.858072e-02       A
+#> 705   71 0.8888889  1.667871e-01       A
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+#> 708   71 1.5555556  3.794028e-01       A
+#> 709   71 1.7777778  5.172515e-01       A
+#> 710   71 2.0000000  5.743682e-01       A
+#> 711   72 0.0000000 -1.205601e+00       A
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+#> 718   72 1.5555556  1.365492e-01       A
+#> 719   72 1.7777778  2.140559e-01       A
+#> 720   72 2.0000000  6.166888e-02       A
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+#> 724   73 0.6666667 -7.841487e-02       A
+#> 725   73 0.8888889  2.871905e-01       A
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+#> 728   73 1.5555556  2.351983e-01       A
+#> 729   73 1.7777778  4.425495e-01       A
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+#> 945   95 0.8888889  4.185242e-01       B
+#> 946   95 1.1111111  4.184497e-01       B
+#> 947   95 1.3333333  3.091246e-01       B
+#> 948   95 1.5555556  3.328929e-01       B
+#> 949   95 1.7777778  3.761237e-01       B
+#> 950   95 2.0000000  3.355210e-01       B
+#> 951   96 0.0000000  3.148168e-02       B
+#> 952   96 0.2222222  1.518624e-01       B
+#> 953   96 0.4444444  1.163002e-01       B
+#> 954   96 0.6666667  1.442097e-01       B
+#> 955   96 0.8888889  5.393408e-02       B
+#> 956   96 1.1111111  9.766227e-02       B
+#> 957   96 1.3333333  5.672012e-02       B
+#> 958   96 1.5555556  7.440936e-02       B
+#> 959   96 1.7777778  1.279382e-01       B
+#> 960   96 2.0000000  7.632555e-02       B
+#> 961   97 0.0000000 -3.049907e-01       B
+#> 962   97 0.2222222 -3.172242e-01       B
+#> 963   97 0.4444444 -3.202242e-01       B
+#> 964   97 0.6666667 -2.882529e-01       B
+#> 965   97 0.8888889 -1.565178e-01       B
+#> 966   97 1.1111111 -2.710868e-01       B
+#> 967   97 1.3333333 -2.905609e-01       B
+#> 968   97 1.5555556 -3.017751e-01       B
+#> 969   97 1.7777778 -2.356293e-01       B
+#> 970   97 2.0000000 -2.443948e-01       B
+#> 971   98 0.0000000 -1.020496e-01       B
+#> 972   98 0.2222222 -1.245434e-01       B
+#> 973   98 0.4444444 -6.277960e-02       B
+#> 974   98 0.6666667 -6.591337e-02       B
+#> 975   98 0.8888889 -4.486940e-02       B
+#> 976   98 1.1111111 -8.125272e-02       B
+#> 977   98 1.3333333 -3.346464e-02       B
+#> 978   98 1.5555556 -8.876536e-02       B
+#> 979   98 1.7777778 -3.404641e-02       B
+#> 980   98 2.0000000 -8.434670e-02       B
+#> 981   99 0.0000000 -2.789980e-01       B
+#> 982   99 0.2222222 -3.061523e-01       B
+#> 983   99 0.4444444 -2.808176e-01       B
+#> 984   99 0.6666667 -2.830307e-01       B
+#> 985   99 0.8888889 -2.170176e-01       B
+#> 986   99 1.1111111 -2.486512e-01       B
+#> 987   99 1.3333333 -2.777878e-01       B
+#> 988   99 1.5555556 -2.914125e-01       B
+#> 989   99 1.7777778 -1.710861e-01       B
+#> 990   99 2.0000000 -2.587826e-01       B
+#> 991  100 0.0000000 -1.571203e-01       B
+#> 992  100 0.2222222 -1.175398e-01       B
+#> 993  100 0.4444444 -9.273351e-02       B
+#> 994  100 0.6666667 -5.710561e-02       B
+#> 995  100 0.8888889 -1.043635e-01       B
+#> 996  100 1.1111111 -9.588337e-02       B
+#> 997  100 1.3333333 -1.548070e-01       B
+#> 998  100 1.5555556 -6.437324e-02       B
+#> 999  100 1.7777778 -1.005584e-01       B
+#> 1000 100 2.0000000 -7.006476e-02       B
+#> 1001 101 0.0000000 -4.672927e-02       B
+#> 1002 101 0.2222222 -1.111554e-01       B
+#> 1003 101 0.4444444 -1.302569e-01       B
+#> 1004 101 0.6666667 -1.505226e-01       B
+#> 1005 101 0.8888889 -1.370060e-01       B
+#> 1006 101 1.1111111 -1.499567e-01       B
+#> 1007 101 1.3333333 -8.174649e-02       B
+#> 1008 101 1.5555556 -1.696544e-01       B
+#> 1009 101 1.7777778 -1.795664e-01       B
+#> 1010 101 2.0000000 -1.216955e-01       B
+#> 1011 102 0.0000000  6.263712e-02       B
+#> 1012 102 0.2222222  9.910098e-03       B
+#> 1013 102 0.4444444 -2.559861e-02       B
+#> 1014 102 0.6666667  2.793861e-02       B
+#> 1015 102 0.8888889 -2.776940e-02       B
+#> 1016 102 1.1111111 -2.059914e-02       B
+#> 1017 102 1.3333333 -1.585543e-02       B
+#> 1018 102 1.5555556  3.027930e-02       B
+#> 1019 102 1.7777778  3.581434e-02       B
+#> 1020 102 2.0000000  3.065681e-02       B
+#> 1021 103 0.0000000 -1.332315e-01       B
+#> 1022 103 0.2222222 -1.569493e-01       B
+#> 1023 103 0.4444444 -7.067954e-02       B
+#> 1024 103 0.6666667 -5.375488e-02       B
+#> 1025 103 0.8888889 -8.070951e-02       B
+#> 1026 103 1.1111111 -1.493603e-01       B
+#> 1027 103 1.3333333 -1.816177e-01       B
+#> 1028 103 1.5555556 -1.112063e-01       B
+#> 1029 103 1.7777778 -1.398541e-01       B
+#> 1030 103 2.0000000 -8.958129e-02       B
+#> 1031 104 0.0000000  4.080084e-03       B
+#> 1032 104 0.2222222  7.596372e-02       B
+#> 1033 104 0.4444444  1.376685e-01       B
+#> 1034 104 0.6666667  7.469040e-02       B
+#> 1035 104 0.8888889  6.187655e-02       B
+#> 1036 104 1.1111111  2.494842e-02       B
+#> 1037 104 1.3333333  1.304172e-01       B
+#> 1038 104 1.5555556  1.569127e-02       B
+#> 1039 104 1.7777778  8.678025e-02       B
+#> 1040 104 2.0000000  9.502630e-02       B
+#> 1041 105 0.0000000 -1.228981e-01       B
+#> 1042 105 0.2222222 -2.862262e-01       B
+#> 1043 105 0.4444444 -1.327099e-01       B
+#> 1044 105 0.6666667 -8.600717e-02       B
+#> 1045 105 0.8888889 -1.667151e-01       B
+#> 1046 105 1.1111111 -1.587168e-01       B
+#> 1047 105 1.3333333 -4.148740e-02       B
+#> 1048 105 1.5555556 -2.192527e-01       B
+#> 1049 105 1.7777778 -6.042485e-02       B
+#> 1050 105 2.0000000 -7.820291e-02       B
+#> 1051 106 0.0000000  3.205302e-01       B
+#> 1052 106 0.2222222  3.633457e-01       B
+#> 1053 106 0.4444444  3.696232e-01       B
+#> 1054 106 0.6666667  3.859708e-01       B
+#> 1055 106 0.8888889  3.865430e-01       B
+#> 1056 106 1.1111111  3.602993e-01       B
+#> 1057 106 1.3333333  4.067073e-01       B
+#> 1058 106 1.5555556  4.698895e-01       B
+#> 1059 106 1.7777778  4.405835e-01       B
+#> 1060 106 2.0000000  4.887984e-01       B
+#> 1061 107 0.0000000  1.295975e-01       B
+#> 1062 107 0.2222222  1.728640e-01       B
+#> 1063 107 0.4444444  1.692469e-01       B
+#> 1064 107 0.6666667  1.072853e-01       B
+#> 1065 107 0.8888889  1.039726e-01       B
+#> 1066 107 1.1111111  2.386994e-01       B
+#> 1067 107 1.3333333  1.041913e-01       B
+#> 1068 107 1.5555556  1.934583e-01       B
+#> 1069 107 1.7777778  1.329828e-01       B
+#> 1070 107 2.0000000  9.170602e-02       B
+#> 1071 108 0.0000000  1.053240e-01       B
+#> 1072 108 0.2222222  1.242403e-01       B
+#> 1073 108 0.4444444  8.957555e-02       B
+#> 1074 108 0.6666667  1.453958e-01       B
+#> 1075 108 0.8888889  2.407891e-01       B
+#> 1076 108 1.1111111  1.655912e-01       B
+#> 1077 108 1.3333333  2.839991e-01       B
+#> 1078 108 1.5555556  1.910480e-01       B
+#> 1079 108 1.7777778  1.553031e-01       B
+#> 1080 108 2.0000000  1.904940e-01       B
+#> 1081 109 0.0000000  4.738617e-02       B
+#> 1082 109 0.2222222  5.008695e-02       B
+#> 1083 109 0.4444444  7.072980e-02       B
+#> 1084 109 0.6666667  6.728807e-02       B
+#> 1085 109 0.8888889  9.654275e-02       B
+#> 1086 109 1.1111111  8.105248e-02       B
+#> 1087 109 1.3333333  8.834816e-02       B
+#> 1088 109 1.5555556  5.157081e-02       B
+#> 1089 109 1.7777778  6.541619e-05       B
+#> 1090 109 2.0000000  5.832264e-02       B
+#> 1091 110 0.0000000  3.570673e-01       B
+#> 1092 110 0.2222222  3.176901e-01       B
+#> 1093 110 0.4444444  3.199020e-01       B
+#> 1094 110 0.6666667  3.955014e-01       B
+#> 1095 110 0.8888889  4.092016e-01       B
+#> 1096 110 1.1111111  3.493334e-01       B
+#> 1097 110 1.3333333  3.254355e-01       B
+#> 1098 110 1.5555556  4.291022e-01       B
+#> 1099 110 1.7777778  2.857350e-01       B
+#> 1100 110 2.0000000  3.037592e-01       B
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+#> 1103 111 0.4444444 -7.319167e-02       B
+#> 1104 111 0.6666667 -1.602829e-01       B
+#> 1105 111 0.8888889 -8.164658e-02       B
+#> 1106 111 1.1111111 -1.130546e-01       B
+#> 1107 111 1.3333333 -5.472925e-02       B
+#> 1108 111 1.5555556 -2.821894e-02       B
+#> 1109 111 1.7777778 -9.521438e-02       B
+#> 1110 111 2.0000000 -5.464956e-02       B
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+#> 1112 112 0.2222222 -1.050239e-01       B
+#> 1113 112 0.4444444 -1.519553e-01       B
+#> 1114 112 0.6666667 -8.078404e-02       B
+#> 1115 112 0.8888889 -9.126726e-02       B
+#> 1116 112 1.1111111 -1.018872e-01       B
+#> 1117 112 1.3333333 -9.910279e-02       B
+#> 1118 112 1.5555556 -4.168235e-02       B
+#> 1119 112 1.7777778 -9.650689e-02       B
+#> 1120 112 2.0000000  4.346419e-03       B
+#> 1121 113 0.0000000  1.912481e-01       B
+#> 1122 113 0.2222222  3.024030e-01       B
+#> 1123 113 0.4444444  3.881464e-01       B
+#> 1124 113 0.6666667  2.236138e-01       B
+#> 1125 113 0.8888889  2.385701e-01       B
+#> 1126 113 1.1111111  2.564860e-01       B
+#> 1127 113 1.3333333  2.789323e-01       B
+#> 1128 113 1.5555556  2.603930e-01       B
+#> 1129 113 1.7777778  2.472112e-01       B
+#> 1130 113 2.0000000  3.646080e-01       B
+#> 1131 114 0.0000000 -1.240365e-01       B
+#> 1132 114 0.2222222 -7.845133e-02       B
+#> 1133 114 0.4444444 -2.845813e-01       B
+#> 1134 114 0.6666667 -8.245858e-02       B
+#> 1135 114 0.8888889 -7.619761e-02       B
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+#> 1138 114 1.5555556 -6.715311e-02       B
+#> 1139 114 1.7777778 -1.513950e-01       B
+#> 1140 114 2.0000000 -1.044618e-01       B
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+#> 1142 115 0.2222222 -4.955078e-02       B
+#> 1143 115 0.4444444 -5.639973e-02       B
+#> 1144 115 0.6666667 -1.129501e-01       B
+#> 1145 115 0.8888889 -1.490307e-01       B
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+#> 1154 116 0.6666667 -4.857489e-02       B
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+#> 1184 119 0.6666667  3.136293e-02       B
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+#> 1254 126 0.6666667  9.355460e-02       B
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+#> 1284 129 0.6666667 -9.991014e-02       B
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+#> 1294 130 0.6666667  5.029615e-02       B
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+#> 1298 130 1.5555556 -1.388160e-01       B
+#> 1299 130 1.7777778  2.040889e-02       B
+#> 1300 130 2.0000000 -8.024585e-02       B
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+#> 1657 166 1.3333333  7.031883e-02       B
+#> 1658 166 1.5555556 -8.402586e-02       B
+#> 1659 166 1.7777778 -2.097650e-01       B
+#> 1660 166 2.0000000 -4.948701e-01       B
+#> 1661 167 0.0000000  2.896955e-01       B
+#> 1662 167 0.2222222  2.586476e-01       B
+#> 1663 167 0.4444444  2.675175e-01       B
+#> 1664 167 0.6666667  2.375505e-01       B
+#> 1665 167 0.8888889  1.430493e-01       B
+#> 1666 167 1.1111111  9.627486e-02       B
+#> 1667 167 1.3333333 -1.217791e-01       B
+#> 1668 167 1.5555556 -2.242158e-01       B
+#> 1669 167 1.7777778 -4.835472e-01       B
+#> 1670 167 2.0000000 -7.010980e-01       B
+#> 1671 168 0.0000000  1.699479e-01       B
+#> 1672 168 0.2222222  1.351633e-01       B
+#> 1673 168 0.4444444  1.434057e-01       B
+#> 1674 168 0.6666667  1.319766e-01       B
+#> 1675 168 0.8888889  3.127842e-02       B
+#> 1676 168 1.1111111  3.473613e-02       B
+#> 1677 168 1.3333333 -1.976839e-01       B
+#> 1678 168 1.5555556 -3.396723e-01       B
+#> 1679 168 1.7777778 -5.923145e-01       B
+#> 1680 168 2.0000000 -8.080747e-01       B
+#> 1681 169 0.0000000  2.251087e-01       B
+#> 1682 169 0.2222222  1.247371e-01       B
+#> 1683 169 0.4444444  2.726715e-01       B
+#> 1684 169 0.6666667  1.345974e-01       B
+#> 1685 169 0.8888889  1.157098e-01       B
+#> 1686 169 1.1111111 -9.279980e-02       B
+#> 1687 169 1.3333333 -2.232803e-01       B
+#> 1688 169 1.5555556 -4.602133e-01       B
+#> 1689 169 1.7777778 -6.982664e-01       B
+#> 1690 169 2.0000000 -1.011688e+00       B
+#> 1691 170 0.0000000  2.215636e-01       B
+#> 1692 170 0.2222222  2.860813e-01       B
+#> 1693 170 0.4444444  1.814356e-01       B
+#> 1694 170 0.6666667  1.545045e-01       B
+#> 1695 170 0.8888889  4.072793e-02       B
+#> 1696 170 1.1111111 -1.287034e-01       B
+#> 1697 170 1.3333333 -2.016537e-01       B
+#> 1698 170 1.5555556 -6.137961e-01       B
+#> 1699 170 1.7777778 -7.898029e-01       B
+#> 1700 170 2.0000000 -1.162360e+00       B
+#> 1701 171 0.0000000  4.137453e-01       B
+#> 1702 171 0.2222222  5.056767e-01       B
+#> 1703 171 0.4444444  6.050196e-01       B
+#> 1704 171 0.6666667  5.148767e-01       B
+#> 1705 171 0.8888889  3.615799e-01       B
+#> 1706 171 1.1111111  1.889105e-01       B
+#> 1707 171 1.3333333  1.533184e-01       B
+#> 1708 171 1.5555556 -1.704070e-01       B
+#> 1709 171 1.7777778 -4.526327e-01       B
+#> 1710 171 2.0000000 -7.648201e-01       B
+#> 1711 172 0.0000000  2.313788e-01       B
+#> 1712 172 0.2222222  3.859633e-01       B
+#> 1713 172 0.4444444  3.593179e-01       B
+#> 1714 172 0.6666667  2.958732e-01       B
+#> 1715 172 0.8888889  1.096149e-01       B
+#> 1716 172 1.1111111  6.183330e-02       B
+#> 1717 172 1.3333333 -2.555240e-02       B
+#> 1718 172 1.5555556 -2.908887e-01       B
+#> 1719 172 1.7777778 -5.438671e-01       B
+#> 1720 172 2.0000000 -7.812329e-01       B
+#> 1721 173 0.0000000  2.602351e-01       B
+#> 1722 173 0.2222222  2.954762e-01       B
+#> 1723 173 0.4444444  4.109689e-01       B
+#> 1724 173 0.6666667  2.572672e-01       B
+#> 1725 173 0.8888889  1.911492e-01       B
+#> 1726 173 1.1111111 -9.329453e-03       B
+#> 1727 173 1.3333333 -2.145995e-01       B
+#> 1728 173 1.5555556 -3.784528e-01       B
+#> 1729 173 1.7777778 -7.446521e-01       B
+#> 1730 173 2.0000000 -8.954571e-01       B
+#> 1731 174 0.0000000  2.311966e-01       B
+#> 1732 174 0.2222222  1.254422e-01       B
+#> 1733 174 0.4444444  2.278691e-01       B
+#> 1734 174 0.6666667  2.058896e-01       B
+#> 1735 174 0.8888889  2.417993e-01       B
+#> 1736 174 1.1111111  1.463684e-02       B
+#> 1737 174 1.3333333 -2.188633e-01       B
+#> 1738 174 1.5555556 -3.617798e-01       B
+#> 1739 174 1.7777778 -6.347580e-01       B
+#> 1740 174 2.0000000 -9.501843e-01       B
+#> 1741 175 0.0000000  1.831842e-01       B
+#> 1742 175 0.2222222  1.336461e-01       B
+#> 1743 175 0.4444444  3.309987e-01       B
+#> 1744 175 0.6666667  1.415570e-01       B
+#> 1745 175 0.8888889  5.023403e-02       B
+#> 1746 175 1.1111111 -1.867614e-01       B
+#> 1747 175 1.3333333 -2.520828e-01       B
+#> 1748 175 1.5555556 -5.179424e-01       B
+#> 1749 175 1.7777778 -8.576689e-01       B
+#> 1750 175 2.0000000 -1.122319e+00       B
+#> 1751 176 0.0000000  2.265458e-01       B
+#> 1752 176 0.2222222  3.464803e-01       B
+#> 1753 176 0.4444444  2.700744e-01       B
+#> 1754 176 0.6666667  2.891238e-01       B
+#> 1755 176 0.8888889  1.884533e-01       B
+#> 1756 176 1.1111111  1.459601e-02       B
+#> 1757 176 1.3333333 -1.348542e-01       B
+#> 1758 176 1.5555556 -3.768980e-01       B
+#> 1759 176 1.7777778 -5.996028e-01       B
+#> 1760 176 2.0000000 -9.249303e-01       B
+#> 1761 177 0.0000000  3.075451e-01       B
+#> 1762 177 0.2222222  3.491855e-01       B
+#> 1763 177 0.4444444  3.556856e-01       B
+#> 1764 177 0.6666667  4.512108e-01       B
+#> 1765 177 0.8888889  2.536493e-01       B
+#> 1766 177 1.1111111  5.314167e-02       B
+#> 1767 177 1.3333333  1.462908e-02       B
+#> 1768 177 1.5555556 -2.446052e-01       B
+#> 1769 177 1.7777778 -3.976129e-01       B
+#> 1770 177 2.0000000 -7.427766e-01       B
+#> 1771 178 0.0000000  5.378629e-01       B
+#> 1772 178 0.2222222  4.892239e-01       B
+#> 1773 178 0.4444444  4.560080e-01       B
+#> 1774 178 0.6666667  5.356230e-01       B
+#> 1775 178 0.8888889  2.824250e-01       B
+#> 1776 178 1.1111111  2.465115e-01       B
+#> 1777 178 1.3333333  1.148119e-02       B
+#> 1778 178 1.5555556 -8.453103e-02       B
+#> 1779 178 1.7777778 -3.661140e-01       B
+#> 1780 178 2.0000000 -6.931055e-01       B
+#> 1781 179 0.0000000  3.338560e-01       B
+#> 1782 179 0.2222222  4.293343e-01       B
+#> 1783 179 0.4444444  3.243028e-01       B
+#> 1784 179 0.6666667  2.918372e-01       B
+#> 1785 179 0.8888889  2.647354e-01       B
+#> 1786 179 1.1111111  1.559911e-01       B
+#> 1787 179 1.3333333 -1.326435e-01       B
+#> 1788 179 1.5555556 -2.421576e-01       B
+#> 1789 179 1.7777778 -5.542402e-01       B
+#> 1790 179 2.0000000 -8.121344e-01       B
+#> 1791 180 0.0000000  4.364128e-01       B
+#> 1792 180 0.2222222  4.958604e-01       B
+#> 1793 180 0.4444444  4.715933e-01       B
+#> 1794 180 0.6666667  4.305910e-01       B
+#> 1795 180 0.8888889  4.492403e-01       B
+#> 1796 180 1.1111111  4.298578e-01       B
+#> 1797 180 1.3333333  2.734608e-01       B
+#> 1798 180 1.5555556  8.616595e-02       B
+#> 1799 180 1.7777778 -1.316570e-01       B
+#> 1800 180 2.0000000 -3.235243e-01       B
+#> 1801 181 0.0000000  1.727146e-01       B
+#> 1802 181 0.2222222  2.200801e-01       B
+#> 1803 181 0.4444444  1.572780e-01       B
+#> 1804 181 0.6666667  3.211639e-02       B
+#> 1805 181 0.8888889  7.247361e-02       B
+#> 1806 181 1.1111111  6.051005e-02       B
+#> 1807 181 1.3333333 -1.587465e-01       B
+#> 1808 181 1.5555556 -3.654225e-01       B
+#> 1809 181 1.7777778 -6.590837e-01       B
+#> 1810 181 2.0000000 -8.508337e-01       B
+#> 1811 182 0.0000000  3.079815e-01       B
+#> 1812 182 0.2222222  3.785515e-01       B
+#> 1813 182 0.4444444  4.342307e-01       B
+#> 1814 182 0.6666667  3.996590e-01       B
+#> 1815 182 0.8888889  4.164826e-01       B
+#> 1816 182 1.1111111  1.776426e-01       B
+#> 1817 182 1.3333333  4.412901e-02       B
+#> 1818 182 1.5555556 -1.125903e-01       B
+#> 1819 182 1.7777778 -2.752311e-01       B
+#> 1820 182 2.0000000 -4.206400e-01       B
+#> 1821 183 0.0000000  3.404818e-01       B
+#> 1822 183 0.2222222  2.683602e-01       B
+#> 1823 183 0.4444444  2.241226e-01       B
+#> 1824 183 0.6666667  2.625385e-01       B
+#> 1825 183 0.8888889  1.115031e-01       B
+#> 1826 183 1.1111111 -6.756054e-02       B
+#> 1827 183 1.3333333 -2.307617e-01       B
+#> 1828 183 1.5555556 -3.912649e-01       B
+#> 1829 183 1.7777778 -7.171692e-01       B
+#> 1830 183 2.0000000 -1.002527e+00       B
+#> 1831 184 0.0000000  1.422954e-01       B
+#> 1832 184 0.2222222  1.156224e-01       B
+#> 1833 184 0.4444444  4.135124e-02       B
+#> 1834 184 0.6666667  1.020364e-01       B
+#> 1835 184 0.8888889  8.517013e-02       B
+#> 1836 184 1.1111111 -1.031983e-01       B
+#> 1837 184 1.3333333 -2.193899e-01       B
+#> 1838 184 1.5555556 -4.775650e-01       B
+#> 1839 184 1.7777778 -7.331339e-01       B
+#> 1840 184 2.0000000 -9.420013e-01       B
+#> 1841 185 0.0000000  2.828538e-01       B
+#> 1842 185 0.2222222  4.056863e-01       B
+#> 1843 185 0.4444444  4.331774e-01       B
+#> 1844 185 0.6666667  3.474479e-01       B
+#> 1845 185 0.8888889  3.159667e-01       B
+#> 1846 185 1.1111111  2.604046e-01       B
+#> 1847 185 1.3333333  1.512809e-01       B
+#> 1848 185 1.5555556 -1.171127e-01       B
+#> 1849 185 1.7777778 -3.365027e-01       B
+#> 1850 185 2.0000000 -5.827436e-01       B
+#> 1851 186 0.0000000  2.946247e-01       B
+#> 1852 186 0.2222222  2.310219e-01       B
+#> 1853 186 0.4444444  2.312479e-01       B
+#> 1854 186 0.6666667  2.065331e-01       B
+#> 1855 186 0.8888889  7.045477e-02       B
+#> 1856 186 1.1111111 -9.437856e-03       B
+#> 1857 186 1.3333333 -1.711472e-01       B
+#> 1858 186 1.5555556 -3.506863e-01       B
+#> 1859 186 1.7777778 -5.616429e-01       B
+#> 1860 186 2.0000000 -7.987087e-01       B
+#> 1861 187 0.0000000  4.370242e-01       B
+#> 1862 187 0.2222222  3.213787e-01       B
+#> 1863 187 0.4444444  4.091530e-01       B
+#> 1864 187 0.6666667  2.837396e-01       B
+#> 1865 187 0.8888889  1.165839e-01       B
+#> 1866 187 1.1111111  1.101641e-02       B
+#> 1867 187 1.3333333 -2.381389e-01       B
+#> 1868 187 1.5555556 -5.214907e-01       B
+#> 1869 187 1.7777778 -8.309639e-01       B
+#> 1870 187 2.0000000 -1.085084e+00       B
+#> 1871 188 0.0000000  6.283395e-02       B
+#> 1872 188 0.2222222  2.091131e-01       B
+#> 1873 188 0.4444444  1.644614e-01       B
+#> 1874 188 0.6666667  8.426455e-02       B
+#> 1875 188 0.8888889  1.213489e-01       B
+#> 1876 188 1.1111111 -1.073654e-02       B
+#> 1877 188 1.3333333 -2.596088e-01       B
+#> 1878 188 1.5555556 -3.659618e-01       B
+#> 1879 188 1.7777778 -5.640238e-01       B
+#> 1880 188 2.0000000 -8.254948e-01       B
+#> 1881 189 0.0000000  2.216979e-01       B
+#> 1882 189 0.2222222  2.364060e-01       B
+#> 1883 189 0.4444444  1.640381e-01       B
+#> 1884 189 0.6666667  8.724267e-02       B
+#> 1885 189 0.8888889 -6.184765e-02       B
+#> 1886 189 1.1111111 -2.725620e-01       B
+#> 1887 189 1.3333333 -4.121635e-01       B
+#> 1888 189 1.5555556 -6.222327e-01       B
+#> 1889 189 1.7777778 -8.376862e-01       B
+#> 1890 189 2.0000000 -1.296084e+00       B
+#> 1891 190 0.0000000  1.579767e-01       B
+#> 1892 190 0.2222222  6.881586e-02       B
+#> 1893 190 0.4444444  1.138301e-01       B
+#> 1894 190 0.6666667  1.566408e-01       B
+#> 1895 190 0.8888889 -2.125895e-02       B
+#> 1896 190 1.1111111 -1.203461e-01       B
+#> 1897 190 1.3333333 -2.951722e-01       B
+#> 1898 190 1.5555556 -5.952865e-01       B
+#> 1899 190 1.7777778 -8.057966e-01       B
+#> 1900 190 2.0000000 -1.093218e+00       B
+#> 1901 191 0.0000000  2.167051e-01       B
+#> 1902 191 0.2222222  3.078018e-01       B
+#> 1903 191 0.4444444  2.905337e-01       B
+#> 1904 191 0.6666667  2.517826e-01       B
+#> 1905 191 0.8888889  2.825263e-01       B
+#> 1906 191 1.1111111  2.330478e-01       B
+#> 1907 191 1.3333333  4.012726e-02       B
+#> 1908 191 1.5555556 -1.442316e-01       B
+#> 1909 191 1.7777778 -3.668082e-01       B
+#> 1910 191 2.0000000 -5.322080e-01       B
+#> 1911 192 0.0000000  3.452011e-01       B
+#> 1912 192 0.2222222  4.099050e-01       B
+#> 1913 192 0.4444444  3.808182e-01       B
+#> 1914 192 0.6666667  3.338297e-01       B
+#> 1915 192 0.8888889  2.760796e-01       B
+#> 1916 192 1.1111111  1.557230e-01       B
+#> 1917 192 1.3333333 -6.549760e-02       B
+#> 1918 192 1.5555556 -8.545634e-02       B
+#> 1919 192 1.7777778 -4.773788e-01       B
+#> 1920 192 2.0000000 -6.390562e-01       B
+#> 1921 193 0.0000000  1.150290e-01       B
+#> 1922 193 0.2222222  1.921946e-01       B
+#> 1923 193 0.4444444  2.219970e-01       B
+#> 1924 193 0.6666667  1.786091e-01       B
+#> 1925 193 0.8888889  1.765307e-01       B
+#> 1926 193 1.1111111  3.961088e-02       B
+#> 1927 193 1.3333333 -4.755357e-02       B
+#> 1928 193 1.5555556 -1.315012e-01       B
+#> 1929 193 1.7777778 -4.119738e-01       B
+#> 1930 193 2.0000000 -7.894205e-01       B
+#> 1931 194 0.0000000  3.569231e-01       B
+#> 1932 194 0.2222222  3.793874e-01       B
+#> 1933 194 0.4444444  4.758845e-01       B
+#> 1934 194 0.6666667  3.676239e-01       B
+#> 1935 194 0.8888889  2.535408e-01       B
+#> 1936 194 1.1111111  8.793156e-02       B
+#> 1937 194 1.3333333 -1.520331e-03       B
+#> 1938 194 1.5555556 -1.387824e-01       B
+#> 1939 194 1.7777778 -4.769098e-01       B
+#> 1940 194 2.0000000 -7.439063e-01       B
+#> 1941 195 0.0000000  1.784180e-01       B
+#> 1942 195 0.2222222  2.083848e-01       B
+#> 1943 195 0.4444444  1.419173e-01       B
+#> 1944 195 0.6666667  8.636116e-02       B
+#> 1945 195 0.8888889  1.198104e-02       B
+#> 1946 195 1.1111111 -4.378665e-02       B
+#> 1947 195 1.3333333 -2.603427e-01       B
+#> 1948 195 1.5555556 -4.540236e-01       B
+#> 1949 195 1.7777778 -6.285749e-01       B
+#> 1950 195 2.0000000 -9.493716e-01       B
+#> 1951 196 0.0000000  2.060538e-01       B
+#> 1952 196 0.2222222  2.464836e-01       B
+#> 1953 196 0.4444444  1.205809e-01       B
+#> 1954 196 0.6666667  6.736036e-02       B
+#> 1955 196 0.8888889 -2.242651e-02       B
+#> 1956 196 1.1111111 -1.507189e-01       B
+#> 1957 196 1.3333333 -3.808967e-01       B
+#> 1958 196 1.5555556 -5.662458e-01       B
+#> 1959 196 1.7777778 -8.743055e-01       B
+#> 1960 196 2.0000000 -1.121987e+00       B
+#> 1961 197 0.0000000  3.467559e-01       B
+#> 1962 197 0.2222222  4.536987e-01       B
+#> 1963 197 0.4444444  5.665885e-01       B
+#> 1964 197 0.6666667  4.719877e-01       B
+#> 1965 197 0.8888889  4.070098e-01       B
+#> 1966 197 1.1111111  3.843275e-01       B
+#> 1967 197 1.3333333  7.897134e-02       B
+#> 1968 197 1.5555556  6.798930e-02       B
+#> 1969 197 1.7777778 -1.321147e-01       B
+#> 1970 197 2.0000000 -2.700802e-01       B
+#> 1971 198 0.0000000  1.203713e-01       B
+#> 1972 198 0.2222222  1.451069e-01       B
+#> 1973 198 0.4444444  2.967861e-01       B
+#> 1974 198 0.6666667  1.586670e-01       B
+#> 1975 198 0.8888889  5.829574e-02       B
+#> 1976 198 1.1111111 -3.702909e-02       B
+#> 1977 198 1.3333333 -2.457303e-01       B
+#> 1978 198 1.5555556 -4.841471e-01       B
+#> 1979 198 1.7777778 -6.247883e-01       B
+#> 1980 198 2.0000000 -9.381322e-01       B
+#> 1981 199 0.0000000  2.862516e-01       B
+#> 1982 199 0.2222222  2.453220e-01       B
+#> 1983 199 0.4444444  2.517319e-01       B
+#> 1984 199 0.6666667  2.565302e-01       B
+#> 1985 199 0.8888889  8.622183e-02       B
+#> 1986 199 1.1111111  2.066621e-02       B
+#> 1987 199 1.3333333 -1.198231e-01       B
+#> 1988 199 1.5555556 -3.516931e-01       B
+#> 1989 199 1.7777778 -7.221270e-01       B
+#> 1990 199 2.0000000 -9.454804e-01       B
+#> 1991 200 0.0000000  2.123882e-01       B
+#> 1992 200 0.2222222  3.121701e-01       B
+#> 1993 200 0.4444444  3.016063e-01       B
+#> 1994 200 0.6666667  1.930413e-01       B
+#> 1995 200 0.8888889  1.780560e-01       B
+#> 1996 200 1.1111111  1.483383e-01       B
+#> 1997 200 1.3333333 -3.785807e-03       B
+#> 1998 200 1.5555556 -1.409999e-01       B
+#> 1999 200 1.7777778 -5.030799e-01       B
+#> 2000 200 2.0000000 -7.486002e-01       B
+
+