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See for example D.F. Morrison, “Multivariate Statistical Methods”, McGraw-Hill, 1967; R.A. Johnson and D.W. Wichern, “Applied Multivariate Statistical Analysis”, Prentice-Hall, 1982
Original
1982
Earlier work this paper cites.
W.M. Yao et al. (Particle Data Group), J. Phys. G 33
1990
Earlier work this paper cites.

Similar

C. Michael, Phys. Rev. D 49
1994
Cited alongside, same era.
C. Michael and A. McKerrell, Phys. Rev. D 51
1995
Cited alongside, same era.

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C. Aubin et al
2004
Later among the works it cites.
C. Aubin et al
2005
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2008

Sample size effects in multivariate fitting of correlated data

Toussaint, D., Freeman, W.

Understand

A common problem in analysis of experiments or in lattice QCD simulations is fitting a parameterized model to the average over a number of samples of correlated data values.

If the number of samples is not infinite, estimates of the variance of the parameters ("error bars") and of the goodness of fit are affected.
We illustrate these problems with numerical simulations, and calculate approximate corrections to the variance of the parameters for estimates made in the standard way from derivatives of the parameters' probability distribution as well as from jackknife and bootstrap estimates.