Some CDF notes addressing statistical issues

• Statistical tests
  
  • H.Keutelian,
    "The Kolmogorov-Smirnov statistic when estimating parameters from data"
    [Describes a simple Monte Carlo procedure to convert a KS statistic into a probability when comparing a data sample to a model in which one or more parameters have been determined from the data.]
    CDF note 1285, Version 1.0, April 30, 1991.
  • L. Demortier,
    "Assessing the significance of a deviation in the tail of a distribution"
    [Defines and investigates some properties of the Kolmogorov-Smirnov, Smirnov-Cramer-von Mises and Anderson-Darling statistics for one-sample and two-sample tests.]
    CDF note 3419, Version 1.0, November 20, 1995.
  • A. Beretvas, M. Binkley, L. Demortier,
    "Binned KS probability"
    [Studies the effect that binning a data sample has on the conversion of a KS statistic into a probability. Especially useful to interpret the results of the PAW command "diff".]
    CDF note 4373, Version 2.0, November 25, 1997.
• Fitting techniques
  
  • T. Devlin,
    "Correlations from systematic corrections to Poisson-distributed data in log-likelihood functions"
    [Describes how to incorporate the effect of systematic uncertainties, background contamination and efficiency corrections in Poisson likelihood fits.]
    CDF note 3126, version 3.1, May 27, 1999.
  • H. Keutelian,
    "A procedure to apply multiple mass constraints to a set of tracks"
    CDF note 3565, February 21, 1996.
• Unfolding methods
  
  • A. Robinson, P.K. Sinervo,
    "Correcting the top quark pT distribution"
    [This analysis uses an unfolding method that's designed to work with small numbers of events and with background.]
    CDF note 4821, December 17, 1998.
  • A. Bhatti, B. Flaugher,
    "Inclusive jet cross section in pbar-p collisions at sqrt(s)=1.8 TeV"
    [Section 5 of this PRD describes the unfolding method. It is designed to work with large numbers of events and no background.]
    CDF note 5291, version 4.0, June 24, 2000.
• Combining measurements
  
  • R.J. Hollebeek, P.K. Sinervo, H.H. Williams,
    "The evaluation of upper limits for top quark production using combined measurements"
    [Defines upper limits according to classical and Bayesian statistics, and descibes three methods to obtain a combined upper limit from two or more measurements. Also describes how to incorporate systematic uncertainties in the calculation of upper limits. Although the authors clearly favor the frequentist approach (often referring to it as "anti-Bayesian"), their method of smearing with systematics is Bayesian.]
    CDF note 1109, January 6, 1990.
  • M. Shochet,
    "More on statistics of combined measurements"
    [Studies the three methods described in CDF note 1109 and concludes that only one of them is robust.]
    CDF note 1212, May 25, 1990.
  • T. Liss, G. Unal, P.K. Sinervo,
    "Estimating the statistical significance of a top quark search counting experiment."
    [Calculates the significance of the Run 1A top quark sample, by combining the events observed in the dilepton and tagged lepton+jets channels.]
    CDF note 2370, Version 1.1, December 1, 1993.
  • L. Demortier, R. Hughes, R. Roser,
    "Averaging the top quark mass measurements from CDF and D0"
    [The appendix describes the mathematical formalism used to combine measurements. It is based on minimizing a chisquare with a covariance matrix that includes statistical and systematic uncertainties and their correlations.]
    CDF note 4439, version 2.5, October 13, 1998.
  • C. Grosso-Pilcher, G. Landsberg,
    "Combined limits on first generation leptoquarks from the CDF and D0 experiments"
    [Does both a frequentist and Bayesian analysis.]
    CDF note 4575, version 2.0, May 11, 1997.
• Confidence intervals and limits
  
  • C. Blocker,
    "Dilution factors"
    [Discusses how the statistical uncertainty of a measurement is affected by backgrounds, mistaggings and nonzero resolutions. Applies mainly to asymmetry and mixing measurements.]
    CDF note 3406, Version 1.1, December 12, 1995.
  • J. Conway, K. Maeshima,
    "Upper limits on Poisson processes incorporating uncertainties in acceptance and background"
    CDF note 4476, Version 2, March 13, 1998.
  • C. Blocker,
    "Comment on the Feldman and Cousins method of limits"
    [How to set limits near physical boundaries; applied to the sin(2beta) analysis.]
    CDF note 4611, Version 1.0, May 27, 1998.
• Monte Carlo methods
  
  • M. Mangano,
    "The unweighting of matrix element Monte Carlos"
    CDF note 1665, January 1991.