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Last modified: December 2013

URL: http://cxc.harvard.edu/sherpa/ahelp/reg_proj.html
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AHELP for CIAO 4.6 Sherpa v2

reg_proj

Context: confidence

Synopsis

Create a confidence contour of fit statistic vs. two thawed parameter values.

Syntax

reg_proj(par0, par1, [id, otherids=None, replot=False, min=None,
max=None, nloop=(10,10), delv=None, fac=4, log=(False,False),
sigma=(1,2,3), levels=None, overplot=False,numcores] )

Description

The reg_proj command creates a confidence contour of fit statistic as a function of two thawed parameter values. The confidence regions are determined by varying the value of each selected parameter on the grid, computing the best-fit statistic at each grid point, and interpolating on the grid. Each parameter value is varied until the fit statistic is increased by delta_S, which is a function of the largest value of sigma (e.g., delta_S = 11.8 if the statistic is chi-square and 3 is the largest element of the array sigma). The data arrays defining a reg_proj plot may be accessed with the get_reg_proj command (see examples below).

reg_proj differs from reg_unc ("ahelp reg_unc") in that all other thawed parameters are allowed to float to new best-fit values, instead of being fixed to the initial best-fit values. This makes reg_proj contours more accurate, but the computation is slower.

The computationally intensive projection function is parallelized to make use of multi-core systems (i.e., laptops or desktops with 2 or 4 cores) to provide significant improvements in efficiency compared to previous releases of Sherpa; the 'numcores' argument may be used to specify how the cores should be used when projection is run.

  • par0 - first thawed source model parameter
  • par1 - second thawed source model parameter
  • id, otherids - the id(s) of the dataset(s) to use; by default, uses all datasets; otherids=None
  • replot - should the cached arrays be used in the plot? False (default)=do the calculation, True=redisplay the existing values
  • min - list of minimum grid boundaries [min_par0, min_par1]; default=None, which calculates the values from the covariance. This is always a linear quantity, regardless of the log setting.
  • max - list of maximum grid boundaries [max_par0, max_par1]; default=None, which calculates the values from the covariance. This is always a linear quantity, regardless of the log setting.
  • nloop - list of bin sizes for calculating the step sizes (delv); default=(10,10)
  • delv - list of step sizes; default=None, which calculates the values using the min, max, and nloop values
  • fac - factor used to expand or condense the contour intervals; default=4
  • log - use log space for the contours? Value is a list; default=(False,False)
  • sigma - list of the number of sigma (i.e., the change in statistic) for the contours; default=(1,2,3)
  • levels - list of confidence level "z" values; default=None, which uses the sigma values
  • overplot - should the new plot be overlaid in the plotting window? False (default)=clear the window, True=overplot on any existing plots
  • numcores - number of cores to use in parallelization; default is to use all cores available (2 or 4)

The calculated values, such as the grid min and max, can be retrieved with get_reg_proj ("ahelp get_reg_proj").

The plot is displayed in a ChIPS plotting window. If there is no plotting window open, one is created. If a plotting window exists, the overplot parameter value determines whether the new plot is overlaid on any existing plots in the window or if the window is cleared before the plot is drawn.

ChIPS commands may be used within Sherpa to modify plot characteristics and create hardcopies; refer to the ChIPS website for information.

Example 1

sherpa> reg_proj(pl.gamma, pl.ampl)
sherpa> print get_reg_proj()

Using the default settings, run reg_proj on the 'gamma' and 'ampl' parameters of a power-law model ("pl"). Return the confidence data arrays which define the most recently produced reg_proj plot with the get_reg_proj command.

sherpa> reg_proj(pl.gamma, pl.ampl)
sherpa> print get_reg_proj()
x0      = [ 1.8274  1.901   1.9745 ...,  2.3425  2.4161  2.4897]
x1      = [ 0.0002  0.0002  0.0002 ...,  0.0003  0.0003  0.0003]
y       = [ 55.7019  53.6498  54.4308 ...,  54.3251  56.0053  59.9229]
min     = [  1.8274e+00   1.6554e-04]
max     = [  2.4897e+00   2.8414e-04]
nloop   = (10, 10)
fac     = 4
delv    = None
log     = [False False]
sigma   = (1, 2, 3)
parval0 = 2.15851551134
parval1 = 0.00022484014788
levels  = [ 40.2037  44.088   49.7371]

Example 2

sherpa> reg_proj(clus.xpos, clus.ypos, id=1, otherids=[2,3,4])

Run reg_proj on the parameters xpos and ypos from a beta2d model ("clus") for data ids 1, 2, 3, and 4.

Example 3

sherpa> reg_proj(p1.gamma, zabs1.nh, id="src" min=[1.2, 0.15],
max=[1.35, 0.5] )

Run reg_proj for parameters p1.gamma and zabs1.nh, which are model components assigned to data id "src". The min and max grid values are manually set.

Bugs

See the bugs pages on the Sherpa website for an up-to-date listing of known bugs.

See Also

confidence
conf, covariance, get_conf, get_covar, get_int_proj, get_int_unc, get_proj, get_reg_proj, get_reg_unc, int_proj, int_unc, projection, reg_unc, set_conf_opt, set_covar_opt, set_proj_opt

Last modified: December 2013
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