New Horizons from Multi-Wavelength Sky Surveys, Proceedings of the 179th Symposium of the International Astronomical Union, held in Baltimore, USA August 26-30, 1996, Kluwer Academic Publishers, edited by Brian J. McLean, Daniel A. Golombek, Jeffrey J. E. Hayes, and Harry E. Payne, p. 363.

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E.D. Feigelson 1 and G.J. Babu 2

1 Dept. of Astron & Astrophys, Pennsylvania State University
2 Dept. of Statistics, Pennsylvania State University

ABSTRACT : Multiwavelength surveys present a variety of challenging statistical problems: raw data processing, source identification, source characterization and classification, and interrelations between multiwavelength properties. For these last two issues, we discuss the applicability of standard and new multivariate statistical techniques. Traditional methods such as ANOVA, principal components analysis, cluster analysis, and tests for multivariate linear hypotheses are underutilized in astronomy and can be very helpful. Newer statistical methods such as projection pursuit, multivariate splines, and visualization tools such as XGobi are briefly introduced. However, multivariate databases from astronomical surveys present significant challenges to the statistical community. These include treatments of heteroscedastic measurement errors, censoring and truncation due to flux limits, and parameter estimation for non-linear astrophysical models.