What people have said...

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Dear Dr. Fielding, I just noticed your site as I was looking for a nice tutorial for biologists on cluster analysis. Your tutorials are fabulous. I was hoping to get your permission to link to your site as part of a course background section for a bioinformatics course we are holding here at UCLA. If there is anything we can do to help you develop your excellent tutorials, please let me know. They are just great and have already helped many of our students understand basic multivariate statistics. Have a great day! Parag M
I just wanted to compliment you on an EXCELLENT web site. I have not browsed the entire context, but I am particularly impressed with the section on Principal Component Analysis. You have done a better job of explaining eigenvector decompositions than I could ever ever do, and I now send the confused practicioner to your site to learn about it. I'm particularly impressed that although the site is geared to biological examples, they are sufficiently clear to be quite general purpose, even to geologists! Well done, keep up the good work (would you like to put together pages on geostatistics?)! Dr. Lynn B. Reid Geostatistician RDS Resource Ltd.
I found your research website very useful,in particular its clear design and easy to understand format.the section regarding how to write refrences correctly was especially benifitial to me as this is something I have been known to struggle with in the past. cheers Andy Flude
I have found your Web page about the unit "Biological Data Processing II : Multivariate Techniques" and I was particularly interested by the chapter on the Mantel test, where you give a list of examples from the literature. I am writing a paper about the Mantel test, so I would like to know if you would allow me to use this list (with appropriate reference to your work, of course). Thank you Jean -- Jean Thioulouse - Laboratoire de Biometrie et Biologie Evolutive Universite Lyon 1
Thank you very much for your very helpful web site on research methodology. Do you know of any source that would outline the appropriate procedure for conducting a review of literature? Some subjects are very broad and one could amass hundreds, sometimes thousands, of articles before even starting a projects. Is there a good way to get through the mountain of data??? Thanks very much, Joel
I am a Ph.D. student in school psychology at The University of Tennessee-Knoxville (USA). I am currently completing the results section of my dissertation on work ethic among middle school students. I simply wanted to indicate that I found your website with statistical information to be very helpful. Although I have not viewed much of the information on your website, I think you have done a good job of explaining statistical procedures. Thanks for your contribution on the Web. Kary O. Jessup
You have made a very helpful site. I have visited it several times now, and it still helps me on new topics. I can't apply any improvements since all I found all I was looking for so far on your pages. I forwarded the adress to some person who is in charge of the new web site for biology at the Groningen State University (www.biol.rug.nl) as a good example of what I (as a student) would like to see on the new site. Yours sincerely, René Eschen.
your site for multivariate analysis helped me a lot it's a great and rare site my work is on non-linear pca can u help me partha
Hello. Was scanning your website (informative and well-written, by the way) for recommendations on multiple range tests for some of our range conservationists at the Bureau of Land Management (an agency in the US Department of the Interior).
I have just discovered the research methods and stats site. Really good!! Chris Bingefors, Div. of Pharmaceutical Services Research Biomedical Centre, Uppsala Univesity
I have found your webpage on habitat utilization very helpful and informative. I'm particularly interested in a reference you make to "Maclean et al (in press?)" regarding Neu's method being invariant over a range of scales.
My book entitled La Clasificación Numérica y su Aplicación en la Ecología (Numerical Classification and its Applications in Ecology) is finished and will go to press in a week, but I am updating it with some special Internet pages dedicated to Cluster Analysis. I found your page Cluster Analysis: What is it? http://149.170.199.144/multivar/ca.htm#what? that is excellent and I would like to recommend it and include it in my references.
I am a research student at the University here in Manchester, and stumbled on your mutivariate stats web site, via the abstract book for the forthcoming BES conference. I like the useful resources link, and have found the Statistica link very useful already.
Just a quick thank you to you and your workers for teh MSc Research Methods site...I find it very useful when I just need to remember how to combine errors, or do a statistical test and what the statistic quickly etc...A most useful site. Thanks Clive - Jodrell Bank Observatory (University of Manchester)
I bumped into your web site today as I was doing a search for a tutorial on Principal Components Analysis. Your site is excellent! Wayne Aldridge, Psychology University of Michigan
I just wanted to drop you a line- letting you know that your web page is very helpful. I am a graduate student in ecology, and I found that your web page was very easy to follow and very well organized. I have one suggestion though- you might want to make the different sections (regression techniques versus ordination techniques) appear on different pages. That way, if one is only interested in ordination techniques it would be easy to print off only that information instead of printing out the entire web page. That's it! Thank you for putting this information on the web. Cheers, Cristina Rumbaitis-del Rio
Many thanks for most interesting and useful material on the site. Much appreciated. From: (Dr) Arthur Callaghan- Honorary Research Associate, Dept. Biological Sciences, Staffordshire University. -- long retired; full time research !
I should explain at this point that I am not a student of MMU, rather someone who has recently completed a MSc in Applied Statistics and required some clarification of e.g. Logistic Regression. I hope you don't mind me using your resource! Anyway, feedback: The pages I looked at are simple rather than simplistic, readable, and aided my understanding. If only my MSc notes had been this clear, I wouldn've found the course much easier! Cheers. Bryan Bayfield. (Advantica Technologies Limited)
I hope you enjoyed the BES conference. I'm very impressed with your web pages. May I Iink to them from Ecospace http://ecospace.newport.ac.uk/ ? Many thanks and regards, Malcolm McElhone University of Wales College, Newport.

In name of my students and me: thank You for this very useful and, above all, practical web-sites. They are very friendly for non-mathematicians and non-fast-math-educated persons (as most of biologists unfortunatelly still are). In shorts: thank You for Your knowledge and broadmining. Branimir K. Hackenberger, Josip Juraj Strossmayer University, Department of Biology - Laboratory for animal physiology and toxicology, Croatia

Hi, I work in a french mechanical compagny wich works in finite element analysis in high velocity dynamics. (sorry for my poor english) I try to developp statistical analysis (PCA, clustering...) in this domain! I think that we have to look in Biological Sciences to find new ideas! I have already read some articles about (your) statisitical methodes, but I have never seen something as clear as you Internet site and I would like to congratulate your team for this good work!
MOLINIER Stephane

As I will use in a paper the definition you give in your website <http://asio.jde.aca.mmu.ac.uk/multivar/ca.htm>, of a cluster analysis using the Ward's method,I would like to know how to mentionne it in the references.Thank you and thank you for the very usful website, Sincerelly Josyane Ronchail

Hello, My name is Rohan D'Sa and i come from the Fachhochschule Esslingen in germany and i think the course content is very good. Please keep up the good work!

Hello. My name is Jamie DeCoster and I recently came across your web page describing multivariate techniques and I wanted you to know that I found it to be very useful. I am the coordinator for an online statistical consulting service (http://www.stat-help.com) and so far yours is the best online source I've found for information about multivariate statistics. It seems to be clearly written and well organized. If I were to make any suggestion it would just be that you round out your page with information on either MANOVA or multivariate regresssion.

Just wanted to take a moment to tell you that your web site is absolutely incredible. It has helped me understand PCA like no other book or site I have seen. You have done a marvelous job integrating simple concepts and working through examples. A real masterpiece.

I would like to cite "Cluster Analysis: what is it?" in a paper. I have found it to be the clearest description of this technique and learned a great deal from this page. I am unsure as to who is the author and how to cite it. Best regards,--Phil Davis

Hi,I am in my final year of my engineering degree studying at the University of Durham. As part of my final year project I am using PCA on audio signals. Up to this point I have had a great deal of trouble finding any tutorials or books that adequately explain PCA without going to deep into the mathematics behind it. Well that is until I came across your online tutorial. I have found it extremely useful. I am in the process of writing my report for my project and was wondering whether you would mind me including part of this online tutorial in the appendix of my report, referencing it to you. If you not mind can you let me know how you would prefer it referenced, i.e author, university etc.I thank you for your time, and you insights into PCA and multivariate techniques,Kind regards,Tom Hutton.

Look great - Am now trying to read and digest - great layout for a stats novice ....Debra Croft

I have enjoyed perusing your very helpful website. I appreciate all the time and effor you have put forth in order to put important reference information into an online format.
Very clear and useful. Far better than many courses I've attended or books I have looked at. Keith Tomlins
I wonder if I can use you home page as part of our couses syllabus. My two graduation courses (Limnology to Hydrologists and Water Quality for Ecologists) need a fair background on statistics. Thanks. David da Motta Marques

I came across your website through a Google search, hoping to find a website that would help me better understand Principal Component Analysis and interpreting Eigen values. What an incredibly useful website you have compiled on this and related topics! I hope the website will enjoy success both inside and outside your institute and also hope that it stays public! Thanks for the very useful and illustrative tutorials on multivariate analysis. Shawn Handran,

your tutorial is brilliant. I have been looking for such a clear and intuitive Introduction to PCA for quite a while, now. I am a masters student of neurobiology in Freiburg im Breisgau, Germany. I will definitly recomend this outstanding site to my professor who is teaching data analysis.

I just wanted to tell you that I think you have produced a outstanding web page on Conservation and GIS. Cheers,John Lewis

I am a ph.d student (arts!) at Bristol university currently using PCA and DA for analysis of attribution tests on Shakespeare's works.I am trying to improve my understanding of the basics of MVA analysis and have been reading your (very informative and well laid out) webpages.

Hello Dr. Fielding. I am a masters student at UBC in Vancouver, British Columbia, Canada. I have gotten a lot of use out of your multivariate statistics webpage, it's one of the most helpful ones out there! Nara Mehlenbacher, Dept. Bio-Resource Eng., UBC
I am finishing my Master's thesis in Mechanical Engineering at Cornell University. I found your website about Discriminant Analysis (http://obelia.jde.aca.mmu.ac.uk/multivar/da.htm), which is precisely the analysis I was looking for. I found your site much more informative and easy-to-understand than any of the books I have. Thanks! Laurel Kuxhaus
This is Xutao from UNOmaha in the US. I just looked your Multivariate online course. Very good and interesting!
Hello, My name is Rohan D'Sa and i come from the Fachhochschule Esslingen in germany and i think the course content is very good. Please keep up the good work!
Just wanted to take a moment to tell you that your web site is absolutely incredible. It has helped me understand PCA like no other book or site I have seen. You have done a marvelous job integrating simple concepts and working through examples. A real masterpiece.Great job
Dear Dr. Fielding, I wonder if I can use you home page as part of our couses syllabus. My two graduation courses (Limnology to Hydrologists and Water Quality for Ecologists) need a fair background on statistics. Thanks. David da Motta Marques, PhD/SIC, Adjunct Professor, Universidade Federal do Rio Grande do Sul
Instituto de Pesquisas Hidráulicas
Further to your web page and the glossary- I am a consultant with no advanced maths knowledge. I occasionaly need a bit more information on a particular term that crops up in methodologies. I found your glossary (through Google) very helpful- thank you very much. All the best Tanya Suarez, SOCINTEC
Dr. Fielding: I visited the web page "Measuring Classification Accuracy" and found it to be very informative. Thank you! I am wondering if a program is available that can use data from SPSS or Microsoft EXCEL that produces a Confusion matrix for any given cut point. Table six on your web page is an example. I am conducting my doctoral dissertation and could benefit from such a program. My research involves seven "tests" plus demographic data such as income and educatioal level obtained. I conducted a logistic regression and an ROC analysis but would be interested in being able to provide information such as "Overall Diagnostic Power", "Misclassification Rate", "Kappa", etc. for each instrument used for any given cut point. Michael Meier
Dear Alan,Your web page has provided interesting and informative background on statistical terms I've heard bantered about in four years of working with our PI from the University of Washington Biostatistics Department. Considering that I have an English degree, I have found your web page delightful. I've installed S-Plus software, but never truly used it. Were that there was enough time in the day to avail myself of all your on-line resources and dedicate 120 hours to the task! Thanks for putting these pages on line. Best Regards, Jennifer Becker Systems Analyst / Programmer with a long term study on survivors of childhood cancer Seattle, WA USA
I am an Italian undergraduate student of Sociology and I am planning to write my final dissertation about the use of multivariate techniques. Unfortunately this topic isn't almost covered in our standard degree, but I reckon it must be a key background for those who want to be involved in further research. I have been provided of some bibliography by my professor of Statistics, but this proved to be far too advanced for my degree of knowledge (I'm talking about books by Fienberg and Upton for instance, which mostly concern cross-tabulations and assume a thorough knowledge of calculus, analysis and matrix stuff).

I arrived to your site via Google search and I was impressed by the amount of clear and intelliggible information you provide. I have already studied the part concerning PCA and scored well on the self-assessment, thus proving that your way of teaching really is effective. I'm going to profit of all the other sections of the site as well, because even if I come from a different course of studies, I expect social data not to differ too much in concept from biological ones.I just thought it'd be fair to let you know how much I'm enjoying your site, how useful it is, and assure you that I'll acknowledge the site's address on the bibliography of my thesis.

Letizia Caporusso

Dear Alan,

I am a research officer from Cranfield University. My research is in Air Transport - at the moment I am looking at clustering routes based on characteristics, and other research into clustering passengers based on characteristics and preferences. I found your web site on multivariate techniques, which I have been slowly working through to teach myself the material - starting with cluster analysis.

My background includes undergraduate majors in Statistics, Pure Mathematics, Operations Research and Economics. I have masters degrees in Management Science and Economics - basically rather technical, so I am quite used to teaching myself topics I don't know much about!

I have found your website very useful! However, as is always the case with learning anything on one's own, I have lots of questions! I hope that you don't mind me posing them here.
Sheelah Turner
Dear Professor Fielding,

I am most grateful for the very useful materials you have prepared on multivariate analysis. I teach statistics at all levels in a large business school (Bentley College) in the Boston area, and I am planning to try MBA and MS CIS (computer information systems) students on the cluster analysis unit. Also I work on research and capacity building efforts with people from the General Statistical Office in Hanoi and I am quite sure that the unit will be useful in that context too.

Dominique

Hi,
I work in a french mechanical compagny wich works in finite element analysis in high velocity dynamics. (sorry for my poor english) I try to developp statistical analysis (PCA, clustering...) in this domain! I think that we have to look in Biological Sciences to find new ideas! I have already read some articles about (your) statisitical methodes, but I have never seen something as clear as you Internet site and I would like to congratulate your team for this good work! We are just in the begining of our project, but I would like to have your advice on this topic: FE analysis results and theses kind of statistical studies... Have you ever heard about something in this domain???

Thank you for your time and consideration!

MOLINIER Stephane

As I will use in a paper the definition you give in your website <http://asio.jde.aca.mmu.ac.uk/multivar/ca.htm>, of a cluster analysis using the Ward's method, I would like to know how to mentionne it in the references. Thank you and thank you for the very usful website, Sincerelly

Josyane Ronchail, Brazil

Alan,
Your web site for Multivariate Statistics is beautiful! I plan to link to it for my class in Data Mining. I particularly like the sections on PCA and Cluster Analysis. A question:is this web site going to remain online for an indefinite time ? If not, I would like to download it for future use (with all references to you, of course). Much thanks.
-Bill, Department of Computer Science, Eastern Michiagn University (http://www.emunix.emich.edu/~sverdlik/DM/DMReferences.html)

Dear Dr Fielding,
I am writing to enquire if it would be possible to reproduce an image from your website for a report I am preparing - it is a report to the UK government's 'Department for Trade and Industry' (but it will probably available as be open access to anyone) about methods of comparing spectra from circular dichroism (CD) spectroscopy (part of a project on CD spectroscopy under the DTI's 'Measurements for Biotechnology' programme - see http://www.mfbprog.org.uk). I would like to briefly explain what PCA is in this report, and thought that the diagram showing the projections of the doughnut, at http://obelia.jde.aca.mmu.ac.uk/multivar/pcawords.htm, would be nice to include for that.

If this would be possible, I could forward you a standard license form used here at NPL for such requests. Thank you. David, Biotechnology Team, Centre for Optical & Analytical Measurement, National Physical Laboratory.
I am a postgrad at Hull Uni doing palaeoecology. I am being exposed to multivariate stats for the first time and am not a great maths student. Your site has really helped by giving 'real-world' analogies which help the more mathematical components to fit together. Great site, keep it going,
This note is to thank you for the wonderful communication that you provide in your multivariate unit website. As part of our learning experience in the Multivariate Analysis course for Capella University doctoral students (under Dr. Jim Mirabella), we are required to compare and contrast websites that purport to present similar concepts. For the unit on cluster analysis, we were encouraged to view your site, among others.You may want to know that as a student in the last few weeks of her doctoral coursework, I have viewed dozens of statistics websites. Your site is the one that presents information the most clear, user-friendly manner. My compliments.Kind regards,Theresa Rich, Detroit, MI
I have been developing a quick introduction to multiple regression and principal components for my biotechnology statistics course, and your web pages are a God send! I've been poring over Tabachnik and Fidell, etc. for some time, but your pages are incredibly clear, have great bio-examples, and use Minitab. Thank you! David Holloway, Mathematics, British Columbia Institute of Technology, Burnaby, B.C., Canada

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