Description Usage Arguments Details References See Also Examples
Implementation of a graphical device developed by Rex Galbraith to display several estimates of the same quantity that have different standard errors.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89  radialplot(x, ...)
## Default S3 method:
radialplot(x, from = NA, to = NA, t0 = NA,
transformation = "log", sigdig = 2, show.numbers = FALSE,
pch = 21, levels = NA, clabel = "", bg = c("yellow", "red"),
col = "black", title = TRUE, k = 0, markers = NULL,
alpha = 0.05, units = "", hide = NA, omit = NA, omit.col = NA,
...)
## S3 method for class 'fissiontracks'
radialplot(x, from = NA, to = NA, t0 = NA,
transformation = "arcsin", sigdig = 2, show.numbers = FALSE,
pch = 21, levels = NA, clabel = "", bg = c("yellow", "red"),
col = "black", title = TRUE, markers = NULL, k = 0,
exterr = TRUE, alpha = 0.05, hide = NULL, omit = NULL,
omit.col = NA, ...)
## S3 method for class 'UPb'
radialplot(x, from = NA, to = NA, t0 = NA,
transformation = "log", type = 4, cutoff.76 = 1100,
cutoff.disc = c(15, 5), show.numbers = FALSE, pch = 21,
levels = NA, clabel = "", bg = c("yellow", "red"), col = "black",
markers = NULL, k = 0, exterr = TRUE, common.Pb = 0,
alpha = 0.05, hide = NULL, omit = NULL, omit.col = NA, ...)
## S3 method for class 'PbPb'
radialplot(x, from = NA, to = NA, t0 = NA,
transformation = "log", show.numbers = FALSE, pch = 21,
levels = NA, clabel = "", bg = c("yellow", "red"), col = "black",
markers = NULL, k = 0, exterr = TRUE, common.Pb = 1,
alpha = 0.05, hide = NULL, omit = NULL, omit.col = NA, ...)
## S3 method for class 'ArAr'
radialplot(x, from = NA, to = NA, t0 = NA,
transformation = "log", show.numbers = FALSE, pch = 21,
levels = NA, clabel = "", bg = c("yellow", "red"), col = "black",
markers = NULL, k = 0, exterr = TRUE, i2i = FALSE,
alpha = 0.05, hide = NULL, omit = NULL, omit.col = NA, ...)
## S3 method for class 'KCa'
radialplot(x, from = NA, to = NA, t0 = NA,
transformation = "log", show.numbers = FALSE, pch = 21,
levels = NA, clabel = "", bg = c("yellow", "red"), col = "black",
markers = NULL, k = 0, exterr = TRUE, i2i = FALSE,
alpha = 0.05, hide = NULL, omit = NULL, omit.col = NA, ...)
## S3 method for class 'UThHe'
radialplot(x, from = NA, to = NA, t0 = NA,
transformation = "log", show.numbers = FALSE, pch = 21,
levels = NA, clabel = "", bg = c("yellow", "red"), col = "black",
markers = NULL, k = 0, alpha = 0.05, hide = NULL, omit = NULL,
omit.col = NA, ...)
## S3 method for class 'ReOs'
radialplot(x, from = NA, to = NA, t0 = NA,
transformation = "log", show.numbers = FALSE, pch = 21,
levels = NA, clabel = "", bg = c("yellow", "red"), col = "black",
markers = NULL, k = 0, exterr = TRUE, i2i = TRUE, alpha = 0.05,
hide = NULL, omit = NULL, omit.col = NA, ...)
## S3 method for class 'SmNd'
radialplot(x, from = NA, to = NA, t0 = NA,
transformation = "log", show.numbers = FALSE, pch = 21,
levels = NA, clabel = "", bg = c("yellow", "red"), col = "black",
markers = NULL, k = 0, exterr = TRUE, i2i = TRUE, alpha = 0.05,
hide = NULL, omit = NULL, omit.col = NA, ...)
## S3 method for class 'RbSr'
radialplot(x, from = NA, to = NA, t0 = NA,
transformation = "log", show.numbers = FALSE, pch = 21,
levels = NA, clabel = "", bg = c("yellow", "red"), col = "black",
markers = NULL, k = 0, exterr = TRUE, i2i = TRUE, alpha = 0.05,
hide = NULL, omit = NULL, omit.col = NA, ...)
## S3 method for class 'LuHf'
radialplot(x, from = NA, to = NA, t0 = NA,
transformation = "log", show.numbers = FALSE, pch = 21,
levels = NA, clabel = "", bg = c("yellow", "red"), col = "black",
markers = NULL, k = 0, exterr = TRUE, i2i = TRUE, alpha = 0.05,
hide = NULL, omit = NULL, omit.col = NA, ...)
## S3 method for class 'ThU'
radialplot(x, from = NA, to = NA, t0 = NA,
transformation = "log", show.numbers = FALSE, pch = 21,
levels = NA, clabel = "", bg = c("yellow", "red"), col = "black",
markers = NULL, k = 0, i2i = TRUE, alpha = 0.05, detritus = 0,
Th02 = c(0, 0), Th02U48 = c(0, 0, 1e+06, 0, 0, 0, 0, 0, 0),
hide = NULL, omit = NULL, omit.col = NA, ...)

x 
Either an OR and object of class 
... 
additional arguments to the generic 
from 
minimum age limit of the radial scale 
to 
maximum age limit of the radial scale 
t0 
central value 
transformation 
one of either 
sigdig 
the number of significant digits of the numerical values reported in the title of the graphical output. 
show.numbers 
boolean flag ( 
pch 
plot character (default is a filled circle) 
levels 
a vector with additional values to be displayed as different background colours of the plot symbols. 
clabel 
label of the colour legend 
bg 
a vector of two background colours for the plot symbols.
If 
col 
text colour to be used if 
title 
add a title to the plot? 
k 
number of peaks to fit using the finite mixture models of
Galbraith and Laslett (1993). Setting 
markers 
vector of ages of radial marker lines to add to the plot. 
alpha 
cutoff value for confidence intervals 
units 
measurement units to be displayed in the legend. 
hide 
vector with indices of aliquots that should be removed from the radial plot. 
omit 
vector with indices of aliquots that should be plotted but omitted from the central age calculation or mixture models. 
omit.col 
colour that should be used for the omitted aliquots. 
exterr 
propagate the external sources of uncertainty into the mixture model errors? 
type 
scalar indicating whether to plot the
^{207}Pb/^{235}U age ( 
cutoff.76 
the age (in Ma) below which the
^{206}Pb/^{238}U and above which the
^{207}Pb/^{206}Pb age is used. This parameter is
only used if 
cutoff.disc 
two element vector with the maximum and minimum
percentage discordance allowed between the
^{207}Pb/^{235}U and ^{206}Pb/^{238}U
age (if ^{206}Pb/^{238}U < 
common.Pb 
apply a common lead correction using one of three methods:

i2i 
‘isochron to intercept’: calculates the initial (aka
‘inherited’, ‘excess’, or ‘common’)
^{40}Ar/^{36}Ar, ^{40}Ca/^{44}Ca,
^{207}Pb/^{204}Pb, ^{87}Sr/^{86}Sr,
^{143}Nd/^{144}Nd, ^{187}Os/^{188}Os,
^{230}Th/^{232}Th or ^{176}Hf/^{177}Hf
ratio from an isochron fit. Setting 
detritus 
detrital ^{230}Th correction (only applicable
when

Th02 
2element vector with the assumed initial
^{230}Th/^{232}Thratio of the detritus and its
standard error. Only used if 
Th02U48 
9element vector with the measured composition of
the detritus, containing 
The radial plot (Galbraith, 1988, 1990) is a graphical device that was specifically designed to display heteroscedastic data, and is constructed as follows. Consider a set of dates \{t_1,...,t_i,...,t_n\} and uncertainties \{s[t_1],...,s[t_i],...,s[t_n]\}. Define z_i = z[t_i] to be a transformation of t_i (e.g., z_i = log[t_i]), and let s[z_i] be its propagated analytical uncertainty (i.e., s[z_i] = s[t_i]/t_i in the case of a logarithmic transformation). Create a scatterplot of (x_i,y_i) values, where x_i = 1/s[z_i] and y_i = (z_iz_\circ)/s[z_i], where z_\circ is some reference value such as the mean. The slope of a line connecting the origin of this scatterplot with any of the (x_i,y_i)s is proportional to z_i and, hence, the date t_i. These dates can be more easily visualised by drawing a radial scale at some convenient distance from the origin and annotating it with labelled ticks at the appropriate angles. While the angular position of each data point represents the date, its horizontal distance from the origin is proportional to the precision. Imprecise measurements plot on the left hand side of the radial plot, whereas precise age determinations are found further towards the right. Thus, radial plots allow the observer to assess both the magnitude and the precision of quantitative data in one glance.
Galbraith, R.F., 1988. Graphical display of estimates having differing standard errors. Technometrics, 30(3), pp.271281.
Galbraith, R.F., 1990. The radial plot: graphical assessment of spread in ages. International Journal of Radiation Applications and Instrumentation. Part D. Nuclear Tracks and Radiation Measurements, 17(3), pp.207214.
Galbraith, R.F. and Laslett, G.M., 1993. Statistical models for mixed fission track ages. Nuclear Tracks and Radiation Measurements, 21(4), pp.459470.
1 2 3 4 5  data(examples)
radialplot(examples$FT1)
dev.new()
radialplot(examples$LudwigMixture,k='min')

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