[My comments in square brackets]
[My
comments in square brackets]
Chatfield, C
Problem Solving: A Statistician's Guide
Chapman
& Hall
London & NY
1988
261 pages
[A
practical guide to statistical consulting.]
Baron, ME
The Origins of the Infinitesimal Calculus
Pergamon
Press
Oxford
1969
301 pages
[The history of the
development of calculus up to the time of Newton.]
Odeh, RE
Fox M
Sample Size Choice
Marcel Dekker, Inc.
NY
1991
194 Pages
[Sample size estimation for anova,
regression, and general linear
models.]
Adams, WJ
The Life and Times of the Central Limit Theorem
Kaedmon Publishing Co.
New York
1974
119 Pages
[An
overview of the development of the Central Limit Theorem: Bernoulli,
de Moivre, Laplace, Simpson, Gauss, Chebyshev, Markov, &
Lyapunov.]
Little RJA
Rubin, DB
Statistical Analysis with Missing
Data
John Wiley & Sons
NY
1987
278 Pages
[A
thorough and rigorous treatment of this difficult problem.]
Rainville, ED
Infinite Series
The Macmillan Company
NY
1967
265 Pages
[Good explanation of convergence tests and
functions defined by infinite series.]
Bourne, SR
The Unix System V Environment
Addison Wesley
Workingham, England
1987
377 Pages
[An overview of
the UNIX operating system by the author of the Bourne
shell.
Useful descriptions of UNIX commands and programming.]
Sobell, MG
A Practical Guide to UNIX System V
2nd Edition
Benjamin/Cummings
Redwood City, CA
1991
700 Pages
[An overview of the UNIX operating system, version V, release 4.]
Bayesian Theory
First Edition
John Wiley and Sons
NY,
Chichester ..
1994
586 pages
[A modern somewhat difficult
text for a graduate course on Bayesian
statistics. The first text
to really incorporate use of Gibbs
sampling and the Markov Chain
Monte Carlo methods.]
Strang, G
Linear Algebra and its Applications
Third
edition
Harcort Brace Jovanovich College Publishers
Fort
Worth, NY
1988
505 pages
[Linear Algebra with emphasis on
Gaussian elimination and linear space
orientation.]
Fleiss, JL
Statistical Methods for Rates and Proportions
John
Wiley and Sons
NY, Chichester
1988
499 pages
[Standard
methods of analysis of contingency table data.]
Dale, AI
A History of Inverse Probability
Springer-Verlag
NY, Berlin
1991
495 pages
[The mathematical
development of Bayesian statistics. Collection of
foundations
papers.]
Abrabam B, LeDolter J
Statistical Methods for Forecasting
1983
John Wiley and Sons
NY
444 Pages
[Time
series analysis.]
de Finetti, B
Probability, Induction, and Statistics
John
Wiley and Sons
NY, London
1972
266 pages
[Collection
of papers by one of the founders of the application of
personal
probability to statistics.]
Kyburg, HE
Epistemology and Inference
1883
U Minnesota
Press, Minneapolis
318 Pages
[Strong philosophical argument
against personal probability concept.]
The Writings of Leonard Jimmie Savage-A Memorial Selection
Published by ASA and Institute of Math Statistics.
1981
736
pages
[The collected work of one of the founders of modern
Bayesian
statistics. Many papers copublished with Bruno de
Finetti.]
Gardner, MJ and Altman, DG
Statistics with Confidence
British
Medical Journal
1989
140 pages
[Summary of current recs.
and methods for presentation of data with
confidence intervals
rather than hypothesis tests.]
Kotz, S & Johnson, NL
Breakthroughs in Statistics
Volume
I
Foundations and Basic Theory
Springer Verlag
1992
631
pages
[Major papers in this century on foundations and basic
theory.]
Kotz, S & Johnson, NL
Breakthroughs in Statistics
Volume
II
Methodology and Distribution
Springer Verlag
1992
593
pages
[Major papers in this century on methodology and
distribution.]
Good, P
Permutation Tests: A practical guide to resampling
methods for testing
hypotheses.
Springer Verlag
NY
1993
228 pages
[A thorough, yet easy to follow development of
permutation tests, with
applications and good comparisons with
rank, parametric, and Monte
Carlo methods.]
Hall, P
The Bootstrap and Edgeworth Expansion
Springer
Verlag
NY
1992
352 pages
[Chapter two is a clear
development of the Edgeworth expansion and its
applications.]
Sobol, IM
A Primer on the Monte Carlo Method.
CRC Press
Boca Raton
1994
107 pages
[A thorough introduction of
the Monte Carlo methods for
non-statisticians. Applications
mostly in physics. Russian author,
but good translation.]
Noreen, EW
Computer Intensive Methods for Testing Hypotheses
John Wiley and Sons
NY
1993
229 Pages
[A guide to
applying and programming resampling statistics.]
Hand DJ, et al.
A handbook of small data sets
Chapman &
Hall
London
1994
458
[A collection of 500 small data
sets from science and industry.
Some are modern and some are
classical. Comes with a MS-DOS ASCII
format files on 3.5"
floppy. Use: teaching, demonstration, learning.]
Kleinbaum DG
Logistic Regression: A self learning Text
Springer Verlag
NY
1994
282 pages
[A superb
discussion of applications. The sections on model selection
strategies is the clearest I've encountered. Good on maximum
likelihood
estimation, interaction, and confounding.
Santner TJ, Duffy DE
The Statistical Analysis of Discrete Data
Springer Verlag
NY
1989
263 pages
[A thorough,
mathematically difficult, coverage of binomial, poisson,
and
multinomial responses. Good on logit models, difficult on log-
linear models. A good complement to Fleiss.]
Atkinson AC, Fienberg SE
A Celebration of Statistics: the ISI
Centenary Volume
Springer Verlag
NY
1985
606 pages
[Contains the following:
Akaike H, Prediction and Entropy. An
argument for a generalized theory
of statistics that melds
Frequentist and Bayesian philosophies. At its
core is the
extension of Boltzman's concept of entropy to statistical
thinking.]
Eddy WF, Gentle DF. Statistical Computing: What's Past is
Prologue.
[Historical overview of statistical computing with
predictions for the
future.]
Regression Analysis with Applications
Wetherill GB
Chapman
& Hall
London
1986
310 pages
[Good treatments of
data exploration, multicollinearity, outliers,
transformations,
and model selection.]
Mehta C, Patel N
LogXact-Turbo: Logistic Regression Software
Featuring Exact Methods.
Cytel
Cambridge
1993
295
pages
[Exact logistic regression with stratification, maximum
likelihood
estimation (conditional and unconditional), and exact
methods using
permutation and fast network algorithm. Superior
for sparse, skewed,
smallish data sets.]
Read TRC, Cressie NAC
Goodness-of-Fit Statistics for Discrete
Multivariate Data
Springer Verlag
NY
1988
209 Pages
[Here they present their generalization of the loglikelihood,
scores,
c2, and other goodness of fit statistics: the
power divergence
statistic. Book is quite theoretical, but
important.]
Rayner JCW, Best DJ
Smooth Tests of Goodness of Fit.
Oxford
University Press
NY, Oxford
1989
162 Pages
[An
exposition of the one sample smooth goodness of fit tests:
loglikelihood, scores, c2, and other goodness of fit
statistics.]
Madansky A
Prescriptions for Working Statisticians.
Springer
Verlag
NY
1988
295 Pages
[Real life solutions to
normality, unequal variances, independence,
outliers,
transformations, variable selection, mixed discrete &
continuous
variables
The Analysis of Binary Data
Cox DR
Methuen & Co
London
1970
142 pages
[Classic first real book on
logistic regression.]
Saaty TL & Alexander JM
Thinking with Models: Mathematical
models in the physical, Biological,
and Social Sciences.
Pergamon Press
Oxford
1981
179 pages
[Clear,
well-organized overview with applications. Good descriptions
of
hierarchical principles and relation to graphs.]
Rayner JCW and Best DJ
Smooth Tests of Goodness of Fit
Oxford
University Press
New York, Oxford
1989
162 Pages
[A
modern overview of goodness of fit methods.]
Upton, GJG
The Analysis of Cross-tabulated Data
John Wiley
and Sons
NY
1978
148 Pages
[A practical guide to the
analysis of categorical multiway
tables.]
Eves, HW
An Introduction to the History of Mathematics.
4th
Edition
Holt, Rinehart, and Winston
New York
1976
588
Pages
[A classical introductory text covering prehistory up to
the present.]
Stigler, SM
The History of Statistics: The Measurement of
Uncertainty before 1900
Harvard University Press
Cambridge,
MA
1986
[An encyclopedic treatment of the development of
statistics up until
Edgeworth, Pearson, and Yule.]
Spanier J, Oldham KB
An Atlas of Functions
Hemisphere Pub
Co
(sub Harper and Row)
Washington
1987
699 Pages
[A
"coffee Table" book of mathematical functions. Each class
of
functions from constant up to Gauss, Bessel, elliptic
integrals is
covered in one of 64 chapters. Each chapter covers
notation,
behavior, definitions, special cases
interrelationships, expansions,
particular values,
approximations, calculus, complex arguments,
generalizations,
cognitive functions, and special topics. A truly
beautiful book.]
Healy MJR
Matrices for Statistics
Oxford Science
Publications
Clarendon Press
Oxford
1986
89 pages
[The bare essentials of linear algebra for applied
statisticians.]
Kendall, Maurice G. and Alan Stuart
The advanced theory of
statistics
Volume I: Distribution Theory
2nd edition
London
C. Griffin,
1963-1968
433 pages
[A difficult, high
level treatment of the theoretical foundations of
statistics. The
first of a three volume set.]
Agnew, Jeanne
Explorations in number theory
Monterey,
Calif
Brooks/Cole Pub. Co.
1972
308 pages
[Contemporary
undergraduate mathematics series on introductory
number theory.]
Burton, David M
Elementary number theory.
Boston
Allyn
and Bacon
1976
358 pages
[A more advanced treatment of
introductory number theory.]
Struik, D. J.
A source book in mathematics, 1200-1800
edited
by D.J. Struik.
Cambridge, Mass
Harvard University Press
1969
427 pages
[Source books in the history of the
sciences. Historical treatment of
the development of mathematical
ideas.]
Baron, Margaret E.
The origins of the infinitesimal calculus.
Oxford
Pergamon Press,
1969
304 pages
[Historical
treatment of the development of calculus.]
Rice JA
Mathematical Statistics and Data Analysis
Pacific
Grove, CA
Wadsworth & Brooks/Cole
1988
594 pages
[This is a lucid, thoughtful treatment of mathematical statistics
for
seniors or beginning graduate students. U. San Diego author.
Requires calculus, linear algebra, Taylor series, and
multivariate
calculus. Well referenced and easy to understand.
Includes an
excellent chapter on decision analysis and Bayesian
inference.]
Lindley, DV
The Present Position in Bayesian Statistics
Statistical Science 1990;5(1):44-89
[An up to date overview
of Bayesian statistics and its relationship to
the field.
Followed by extensive comments by Berger, Bernardo, Cox,
Simon
French, JB Kadane, EL Lehmann, & M Mouchart. A wonderful summary
of the major conflicts between the Bayesian and the Frequentist
statistical sects.]
Kendall, Maurice G. and Alan Stuart
The advanced theory of
statistics
Volume II: Inference and relationship
2nd edition
London
C. Griffin,
1963-1968
433 pages
[A
difficult, high level treatment of the theoretical foundations of
statistics. The second of a three volume set. Mathematical
foundations of estimation, hypothesis tests, regression, goodness
of
fit, categorical data, and sequential methods.]
Hamilton, LC
Regression with graphics
Belmont, CA
Duxbury
Press
1992
363 pages
[A modern treatise on advanced
regression methods with emphasis on
interpretation of graphical
output.]
Lindley, DV
Making Decisions
2nd edition
London
John
Wiley and Sons
NY
1985
207 pages
[The classical
easy-mathematical introduction to decision analysis.]
Dowie J, Elstein A
Professional Judgment
New York
Cambridge University Press
1988
565 pages
[Thirty
classical papers on clinical decision making.]
Schwartz S, Griffin T
Medical Thinking
New York
Springer-Verlag
1986
277 pages
[Coverage of the
psychological research on medical decision making.]
Murphy EA
The Logic of Medicine
Baltimore
Johns
Hopkins University Press
1976
353 pages
[A well written
philosophical presentation of the fundamental ideas of
medicine.
Good analysis of judgment under uncertainty.]
Schmitt SA
Measuring Uncertainty: An elementary introduction
to Bayesian
Statistics.
Addison-Wesley
Reading, MS
1969
400 pages
[A non-calculus intro. to Bayesian Statistics.
Chapter 8 contains the
a lucid analysis of the discrimination
problem. This is where I
got the idea for revision of diagnostic
probabilities using the
likelihood ratio of P(T=c|D+)/P(T=c|D-).]
Gigerenzer G, Swijtink Z, Porter T, Daston L, Beatty J, Kruger L
The Empire of Chance
New York
Cambridge University Press
1989
340 pages
[A superb analysis of how probability and
statistics shaped and was
shaped by history. Clear discussion of
the "hybridization of the
incompatible Fisher v
Neyman-Pearson paradigms to create "classical"
Frequentist
statistics. Good chapter on Bayesian thinking and the
problems of
base rate neglect and conservative revision.]
Edwards W
Conservatism in human information processing
in
Kleinmuntz B
Formal Representation of Human Judgment
NY
London
John Wiley and Sons
1968
pages 17-53
[Conservative revision of prior probabilities. Bookbag and
poker
chips problem. Edwards was first author on 1963 paper with L.J.
Savage. Compares theories of Edwards with Cameron Peterson and LR
Beach. Psychology.]
Gigerenzer G, Murray DJ
Cognition as Intuitive Statistics
Hillsdale, NJ
Lawrence Erlbaum Assoc., Pub.
1987
214
pages
[An overview of how Psychology, during 1940-1955, accepted
the
discordant Fisherian and Neyman/Pearson statistical paradigms
as an
inconsistent "hybrid" statistics. Later, they
formed theories
which were metaphors for their own tools
(standard statistics). 20
years of research resulted from this,
in which cognition was modeled
as intuitive statistics. Humans
seem to underweight the data, or
ignore their priors, depending
on circumstances. The authors discus
the development of these
ideas, and give a reasons why the models are
probably wrong.]
Tufte ER. The Visual Display of Quantitative Information.
Connecticut: Graphics Press,
1983. 197 pages
Tufte ER.
Envisioning Information. Connecticut: Graphics Press,
1990. 126
pages
[These are two beautiful books that cover the breadth of
graphical
display methods.]
Chambers JM, Cleveland WS, Kleiner B, Tukey PA. Graphical Methods
For Data Analysis.
California: Wadsworth & Brooks/Cole
Publishing Company, 1983.
395 pages
[Graphical methods with
emphasis on newer computer-dependent methods.
Best treatment of
multivariate methods.]
Cleveland WS
Visualizing Data
1993
360 pages
Hobart
Press, Summit, NJ
Murray Hill, NJ
AT&T Bell Laboratories
[Graphical methods with computer-dependent methods using S-Plus
tools.]
Lee PM. Bayesian Statistics: An Introduction. New
York: Halsted
Press, 1989.
294 pages
[A first year
graduate level treatment of Bayesian Statistics.]
Statistical Methods for Survival Data Analysis. New York: John
Wiley & Sons, Inc., 1992.
Kendall, MG and Stuart A
The
advanced theory of statistics
Volume III: Design and Analysis,
and Time-Series
2nd edition
London
C. Griffin,
1968
557 pages
[A difficult, high level treatment of the
theoretical foundations of
statistics. The third of a three
volume set. Mathematical
foundations of experimental design and
time-series
analysis.]
Betts, JA
Signal processing, modulation and noise
London
The English Universities Press LTD.
1970
292 pages
[Appendix II, "Probability Distributions, contains a
wonderful
overview of the application of statistical
discrimination to signal
processing. pages 251-263.]
Weinstein MC, Fineberg HV, Elstein AS, Frazier HS,
Neuhauser
D, Neutra RR, McNeil BJ
Clinical Decision Analysis
1980
Philadelphia
W.B. Saunders Company
351 pages
[Chapter
4, " The use of diagnostic information to revise
probabilities"; pp. 75-130, covers tests as discriminators.
On page 83
they ask "why dichotomize the results of a test?"
In section 4.7 pp.
103-104 they extend this to six categories .
The example is MI and
SGOT. On page 269-70 they show a pod plot
from Rifkin ED.]
Rifkin ED , Hood WB
Bayesian analysis of electrocardiographic
exercises stress testing
N Engl J Med 1977;297:681-686
[They
use a POD plot to show their results.]
Galen RS, Gambino RS
Beyond Normality: The Predictive Value
and Efficiency of Medical
Diagnoses
1975
John Wiley and
Sons
New York
237 pages
[The first book on medical
applications of prior revision.]