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Biometrika 1976 63(3):421-434; doi:10.1093/biomet/63.3.421
© 1976 by Biometrika Trust
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Plotting with confidence: Graphical comparisons of two populations

KJELL A. DOKSUM and GERALD L. SIEVERS

Department of Statistics, University of California Berkeley
Department of Mathematics, Western Michigan University Kalamazoo

Statistical methods that give detailed descriptions of how populations differ are considered. These descriptions are in terms of a response function {Delta}(x) with the property that X + {Delta}(X) has the same distribution as Y. The methods are based on simultaneous confidence bands for the response function computed from independent samples from the two populations. Both general and parametric models are considered and comparisons between the various methods are made.

Key Words: Behrens-Fisher model • Confidence bands • Empirical probability plot • Nonlinear model • Q-Q plot • Response function • Shift function • Two-sample problem


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