Re: What is today's Hogg & Craig?
I think "Statistical Inference" by George Casella and Roger Berger is taking over Hogg & Craig, especially when courses are taught by younger professors. It covers more modern topics, interesting endnotes and very useful exercises. I used both books as a student and I would viote for Casella-Berger. Mithat In article <[EMAIL PROTECTED]>, Gary McClelland <[EMAIL PROTECTED]> wrote: > in article [EMAIL PROTECTED], Jerry Dallal at [EMAIL PROTECTED] > wrote on 9/21/00 8:32 PM: > > > Back in the "old days", the standard text for an undergraduate math stat > > course was Hogg & Craig. I had some fondness for Lindgren. I haven't > > taught this course in nearly 20 years. Which texts occupy their position > > today? > > > > Thanks. > > According to amazon.com, the 1994 5th edition is still in print. > I keep my much earlier edition closely guarded. But I too would be > interested in hearing what the kids learn with today. > > gary > -- > [EMAIL PROTECTED] > > Sent via Deja.com http://www.deja.com/ Before you buy. = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
Likelihood: Is there a skeleton in the normal closet?
Gotcha. It is the headlines that count.
1. I appreciate professor deLeuw recommending A. W. F.
Edward's book "Likelihood" (expanded version). Read it from cover to cover.
Excellent source of ideas and analysis of Fisher's contributions.
2. The issue is, do we follow the maximum likelihood
explicitly and conclude that the most likely value of the distribution
parameter is at the maximum likelihood point; or do we hedge.
3. If we do the mathematics, the obvious approach when more
than one parameter is involved is to do the multiparameter support surface (i.e.
a joint estimate). As Edwards says on page 103, "the evaluates of the parameters
of a model are those for which the support is the maximum over all the
parameters jointly."
For the normal distribution the likelihood function for a
joint estimate is (page 108):
partial(S)/partial(mu) = n times (xbar-mu)
divided by sigma
squared.
(6.2.2a)
partial(S)/partial(sigma squared) = minus
{n divided by (2 times sigma squared)} plus {n divided by (2 times sigma to the
fourth power) times [s squared plus (xbar-mu)
squared]}
(6.2.2b)
Where:
S is the support
function value = natural log of the likelihood function
xbar is the
sum of x values divided by n and
s squared is the sum of
[(x value - xbar) squared] divided by n
When 6.2.2a is set to zero, mu = xbar
When 6.2.2b is set to zero, sigma squared = s
squared
Note that s squared is the biased estimate of variance
and that the diagonals of the observed information matrix is
made up of s squared terms.
4. All current stat teaching is to take the estimate of sigma
as the unbiased estimate (which is consistent):
s squared [unbiased] is the sum of [(x
value - xbar) squared] divided by (n -1).
or, if I use this, then it is not the maximum likelihood
value, but a hedged value.
If I find the estimates separately (not jointly), then this
problem disappears, since the chi square distribution is used to estimate sigma.
Here s squared [unbiased] is the maximum likelihood value.
5. Edwards is aware of this problem, but chose not to
address it (see example 6.3.4 on page 119). He says on page 116 that he is not
concerned about bias. His response leaves me unsettled.
6. My question is, a) has this problem of biased maximum
likelihood estimates of the normal distribution been resolved among the
experts, and b) are all multiparameter joint maximum likelihood parameter
estimates biased values, or c) do we have a skeleton somewhere in our closet, or
d) do we follow Edwards, and bury our heads in the sand?
DAH
Re: Statistics for Visually Impaired
- Original Message - From: Joe Ward <[EMAIL PROTECTED]> To: ap-stat <[EMAIL PROTECTED]>; EDSTAT-L <[EMAIL PROTECTED]> Cc: Robert A Bottenberg <[EMAIL PROTECTED]>; <[EMAIL PROTECTED]> Sent: Monday, September 18, 2000 11:04 AM Subject: Statistics for Visually Impaired >His long reply. Also note R.A.Fisher was visually impared, and had to have readers read the books for him at Cambridge. He did not serve in WWI because of his eyesight. (Thank goodness, think of what statistics would be if he was one of England's finest who were slautered in the trenches during the war. His son died in WWII, and just think of what he could have contributed to us if he had lived!). He dictated most of his texts to his wife who actually wrote them. This explains the unusual characteristics of his writtings. DAH > Those of you who are teaching statistics to visually impaired (blind) > students may find > some helpful ideas from Bob Bottenberg's comments to Jay Thomas, included at > the end of this message. > > Bob received his Ph.D. from Stanford after he was blinded in WWII. He > developed a strong statistics background from courses with Z.W. Birnbaum, > Al Bowker, Meyer Gershick and George Polya and an unusual memory for > everything he has HEARD. > > I have had the pleasure to work with Bob for many years and he can be an > inspiration to anyone with whom he associates - blind or with full vision. > Now that he is retired from his work as a civilian researcher for the U.S. > Air Force, Bob is getting into the internet action. > Bob would be happy to share any of his procedures for hearing and reading > about stat concepts at [EMAIL PROTECTED] > > Bob and I wrote a 140 page document on "Applied Multiple Linear Regression" > in 1963 in order to bring the combined power of Regression/Linear models and > Computers to the researchers with whom we worked. The reference is > Bottenberg, R.A. and Ward, J.H. "Applied Multiple Linear Regression", > PRL-TDR-63-6, AD-413- 128 -- originally available from the Clearinghouse for > Federal Scientific and Technical Information, Dept. of Commerce, Wash. D.C. > A few of the > "old-timers" who are lurking on the internet occasionally mention having a > copy. The approach was expanded in 1973 in the Prentice-Hall-published book > "Introduction to Linear Models" by Ward and Jennings. > > -- > JAY THOMAS WRITES: > > From: "Thomas, Jay" <[EMAIL PROTECTED]> > To: "'Earl Jennings'" <[EMAIL PROTECTED]> > Cc: <[EMAIL PROTECTED]>; <[EMAIL PROTECTED]>; <[EMAIL PROTECTED]> > Sent: Tuesday, September 05, 2000 11:27 AM > Subject: RE: Visually impaired students > > Dr. Jennings, et al, > > > > Thanks very much for getting my inquiry to Dr. Bottenberg, and of course > to > > Dr. Bottenberg for his detailed reply. Several people have given > > suggestions, none as extensive as these were. I hope to compile the > > suggestions after the chaos of the first week or two of school and send > them > > out. > > > > Incidentally, I was reading a history of statistics over the summer (I > lead > > an exciting life) and learned that one of the early important figures in > the > > field was Nicholas Saunderson, who held the Lucasian Chair at Oxford after > > Newton and was blind from the age of 12 months. Oddly, one of his major > > mathematical contributions was in the field of optics. > > Again, thanks for your advice. > > > > Jay Thomas > --- > JAY THOMAS' MESSAGE RECEIVED BY PAUL KELLEY > -- -- > - > Delivered-To: [EMAIL PROTECTED] > Date: Tue, 29 Aug 2000 14:15:37 -0700 > Reply-To: "Thomas, Jay" <[EMAIL PROTECTED]> > Sender: APA Division 5 Members <[EMAIL PROTECTED]> > From: "Thomas, Jay" <[EMAIL PROTECTED]> > Subject: [APA] visually impaired statistics students > To: [EMAIL PROTECTED] > > I have a couple of visually impaired students in my upcoming basic > statistics course this fall. I normally stress visualization and drawing > sketches to understand statistics, but expect that tactic won't work with > these students. Has anyone found effective ways of presenting statistical > concepts to blind students? > > Jay Thomas > - > BOB BOTTENBERG REPLIES TO JAY THOMAS > > Hi Jay, > > Joe Ward passed on to me a note you sent about techniques for teaching > statistics to > visually impaired students. I've been totally blind since 1945, and took > some > undergraduate statistics courses in the psychology department at the U. of > Missouri in > the late 40s. Then at Stanford in 1952-1953, I enrolled in five or six > courses in > probability and mathematical statistics. This background is offered by way > of apology > for not having many suggestions for teaching in a contemporary environment. > Graphs, > charts and figures have always been troublesome, and, as I recall (45 year
RE: What is today's Hogg & Craig?
I took my undergrad math-stat sequence in the early 90's out of the fourth edition of Freund/Walpole's "Mathematical Statistics". I am teaching (for my first time), the undergrad math-stat sequence out of "Probability and Statistical Inference" (fifth edition) by Hogg and Tanis. The Hogg-Tanis book is somewhat easier than Hogg-Craig. I'd be interested to hear what others are doing. Chris >= Original Message From [EMAIL PROTECTED] (Jerry Dallal) = >Back in the "old days", the standard text for an undergraduate math stat >course was Hogg & Craig. I had some fondness for Lindgren. I haven't >taught this course in nearly 20 years. Which texts occupy their position >today? > >Thanks. > > >= >Instructions for joining and leaving this list and remarks about >the problem of INAPPROPRIATE MESSAGES are available at > http://jse.stat.ncsu.edu/ >= Christopher Mecklin, PhD Assistant Professor Department of Mathematics and Statistics Murray State University Murray, KY 42071 Phone: 270 762-5437 Homepage URL: http://campus.murraystate.edu/academic/faculty/chris.mecklin/index.htm = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
Re: What is today's Hogg & Craig?
in article [EMAIL PROTECTED], Jerry Dallal at [EMAIL PROTECTED] wrote on 9/21/00 8:32 PM: > Back in the "old days", the standard text for an undergraduate math stat > course was Hogg & Craig. I had some fondness for Lindgren. I haven't > taught this course in nearly 20 years. Which texts occupy their position > today? > > Thanks. According to amazon.com, the 1994 5th edition is still in print. I keep my much earlier edition closely guarded. But I too would be interested in hearing what the kids learn with today. gary -- [EMAIL PROTECTED] = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
Re: cluster
Hi, Thomas -- If you have a SAS Manual the McQuitty method is described briefly in the CLUSTER Chapter. Also, I think the original article is: McQuitty, L.L. (1966) "Similarity Analysis by Reciprocal Pairs for Discrete and Continuous Data" Ed and Psy Meas, 17, 207-229. Look at: Anderberg, M.R. (1973) "Cluster Analysis for Applications" New York, Academic Press. --- Joe Joe Ward.Health Careers High School 167 East Arrowhead Dr4646 Hamilton Wolfe San Antonio, TX 78228-2402...San Antonio, TX 78229 Phone: 210-433-6575...Phone: 210-617-5400 Fax: 210-433-2828Fax: 210-617-5423 Email: [EMAIL PROTECTED] http://www.ijoa.org/joeward/wardindex.html *** - Original Message - From: "Thomas Pesl" <[EMAIL PROTECTED]> To: <[EMAIL PROTECTED]> Sent: Friday, September 22, 2000 4:19 AM Subject: cluster > Does anyone know the formula of the McQuitty clustering method? > > Thanks, > Thomas > > > > > = > Instructions for joining and leaving this list and remarks about > the problem of INAPPROPRIATE MESSAGES are available at > http://jse.stat.ncsu.edu/ > = > = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
JOB: Lectureship/Readership at Surrey, UK
The following job opportunity is available. We are particularly keen to receive applications from candidates whose research interests include aspects of stochastic modelling (either application-oriented or methodological) and computational statistics. These topics cover many current interests within the group and will form the focus for future developments. Guildford is an attractive historical english market town located south- west of London. It is about 35 minutes to London by train, and 40 miles from the South coast. -- UNIVERSITY OF SURREY School of Electronic Engineering, Information Technology & Mathematics Department of Mathematics and Statistics LECTURER, SENIOR LECTURER or READER IN STATISTICS Salary on the Lecturer Grade A or Grade B Scale (£18,371 to £30,967 per annum) or the Senior Lecturer Scale (£32,510 to £36,740) according to qualifications and experience Applications are invited for the post of Lecturer, Senior Lecturer or Reader in Statistics from candidates with a strong research background in any branch of Probability or Statistics. Ideally some aspect of the candidate's research should resonate with existing or emerging research themes in the Department. The Statistics group at Surrey is active in both theoretical and applied research, and obtained 4A ratings (100% research active academic staff) in both the 1992 and 1996 Research Assessment Exercises (RAE). Current research projects are numerous and varied, but mostly cover reliability, health and medical statistics, extreme value statistics, financial statistics, Bayesian statistics and theoretical statistics. Stochastic modelling and computational statistics are themes which run through much of the group's research. Informal academic enquiries may be made to : Professor T. J. Sweeting at the Department of Mathematics and Statistics Telephone + 44 (0) 1483- 879253, email : [EMAIL PROTECTED] For an application pack and details of how to apply please contact Mr K E Sivyer, School Personnel Administrator, School of Electronic Engineering, Information Technology and Mathematics (SEEIT&M), University of Surrey, Guildford, Surrey, GU2 7XH, telephone + 44 (0) 1483 876125 answerphone/fax (or 879133 during office hours). Email: [EMAIL PROTECTED] or visit the University web site at: http://www.surrey.ac.uk/ where electronic application documents may be found under "Employment Opportunities". Please quote Post Reference Number 2599 and supply your postal address and where you saw the advertisement. Closing date for applications is 20th October, 2000. The University is Committed to an Equal Opportunities Policy Sent via Deja.com http://www.deja.com/ Before you buy. = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
Re: cluster
CONCOR we're talking about? 1. take correlations between profiles. 2. for the symmetric matrix of between-profile correlations, take correlations again; 3. repeat till you get 0 and 1 in your matrix; 0's form one cluster, 1's the other. This is before I got my coffee; I can provide you with more formal description if you wish. - Original Message - From: Thomas Pesl <[EMAIL PROTECTED]> To: <[EMAIL PROTECTED]> Sent: Friday, September 22, 2000 5:19 AM Subject: cluster > Does anyone know the formula of the McQuitty clustering method? > > Thanks, > Thomas > > > > > = > Instructions for joining and leaving this list and remarks about > the problem of INAPPROPRIATE MESSAGES are available at > http://jse.stat.ncsu.edu/ > = = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
Minimization in clinical trials
Hi! Does anyone know a reference on stratification by minimization in randomized clinical trials by authors named Frane and / or Lyons? Thank you in advance for your help. Youri Piedbois = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
cluster
Does anyone know the formula of the McQuitty clustering method? Thanks, Thomas = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
Statistics textbook: recommendations?
X-No-Archive: Yes Hello - I'm looking for a good statistics textbook. I took an introductory statistics course a number of years ago, but I'm becoming quite rusty, and for various reasons, I need to bone up on what I've forgotten. Can someone recommend a good textbook for self-study? Thanks. = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
