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Galbraith plot

From Wikipedia, the free encyclopedia
Statistical device

Instatistics, aGalbraith plot (also known asGalbraith's radial plot or justradial plot) is one way of displaying several estimates of the same quantity that have differentstandard errors.[1]

Example for Galbraith's radial plot.

It can be used to examineheterogeneity in ameta-analysis, as an alternative or supplement to aforest plot.

A Galbraith plot is produced by first calculating the standardized estimates orz-statistics by dividing each estimate by itsstandard error (SE). The Galbraith plot is then ascatter plot of eachz-statistic (vertical axis) against 1/SE (horizontal axis). Larger studies (with smaller SE and larger 1/SE) will be observed to aggregate away from the origin.[2]

See also

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References

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  1. ^Galbraith, Rex (1988). "Graphical display of estimates having differing standard errors".Technometrics.30 (3). Technometrics, Vol. 30, No. 3:271–281.doi:10.2307/1270081.JSTOR 1270081.
  2. ^University of York, Department of Health sciences MSc course material

External links

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  • Galbraith plots are available within themetafor package inR, along with various other diagnostic and summary plots.
  • MIX 2.0 Software to perform meta-analysis and create Galbraith plots in Excel.
  • RadialPlotter Java application for fission track, luminescence and other radial plots from P. Vermeesch.
  • RadialPlotter() function within the R package 'numOSL' from Peng Jun for statistical age models analysis in optically stimulated luminescence dating.
  • plot_RadialPlot() function within the R package 'Luminescence' to produce Galbraith plots.

Further reading

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  • 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. 207–214.doi:10.1016/1359-0189(90)90036-W.
  • Galbraith, R. & Green, P., 1990. Estimating the component ages in a finite mixture. International Journal of Radiation Applications and Instrumentation. Part D. Nuclear Tracks and Radiation Measurements, 17 (3), pp. 197–206.doi:10.1016/1359-0189(90)90035-V
  • Galbraith, R.F. & Laslett, G.M., 1993. Statistical models for mixed fission track ages. Nuclear Tracks And Radiation Measurements, 21 (4), pp. 459–470.doi:10.1016/1359-0189(93)90185-C
  • Galbraith, R.F., 1994. Some Applications of Radial Plots. Journal of the American Statistical Association, 89 (428), pp. 1232–1242.doi:10.1080/01621459.1994.10476864JSTOR 2290987
  • Galbraith, R.F., 2010. On plotting OSL equivalent doses. Ancient TL, 28 (1), pp. 1–10.[1]
  • Galbraith, R.F. & Roberts, R.G., 2012. Statistical aspects of equivalent dose and error calculation and display in OSL dating: An overview and some recommendations. Quaternary Geochronology, 11, pp. 1–27.doi:10.1016/j.quageo.2012.04.020
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