I also think Alan's idea is sound. I start my students off with some binomial expansion theory.
Alan McLean wrote: > > This is a good idea, Dennis. I would like to see the sequence start with > the binomial - in a very real way, the normal occurs naturally as an > 'approximation' to the binomial. > > Alan > > Dennis Roberts wrote: > > > > Back in 1970, Glass and Stanley in their excellent Statistical Methods in > > Education and Psychology book, Prentice-Hall ... had an excellent chapter > > on several of the more important distributions used in statistical work > > (normal, chi square, F, and t) and developed how each was derived from the > > other(s). Most recent books do not develop distributions in this fashion > > anymore: they tend to discuss distributions ONLY when a specific test is > > discussed. I have found this to be a more disjointed treatment. > > > > Anyway, I have developed a handout that parallels their chapter, and have > > used Minitab to do simulation work that supplements what they have presented. > > > > The first form of this can be found in a PDF file at: > > > > http://roberts.ed.psu.edu/users/droberts/papers/statdist2.PDF > > > > Now, there is still some editing work to do AND, working with the spacing > > of text. Acrobat does not allow too much in the way of EDITING features > > and, trying to edit the original document and then convert to pdf, is also > > somewhat of a hit and miss operation. > > > > When I get an improved version with better spacing, I will simply copy over > > the file above. > > > > In the meantime, I would appreciate any feedback about this document and > > the general thrust of it. > > > > Feel free to pass the url along to students and others; copy freely and use > > if you find this helpful. > > > > Dennis Roberts, 208 Cedar Bldg., University Park PA 16802 > > <Emailto: [EMAIL PROTECTED]> > > WWW: http://roberts.ed.psu.edu/users/droberts/drober~1.htm > > AC 8148632401 > > > > ================================================================= > > Instructions for joining and leaving this list, remarks about the > > problem of INAPPROPRIATE MESSAGES, and archives are available at > > http://jse.stat.ncsu.edu/ > > ================================================================= > > -- > Alan McLean ([EMAIL PROTECTED]) > Department of Econometrics and Business Statistics > Monash University, Caulfield Campus, Melbourne > Tel: +61 03 9903 2102 Fax: +61 03 9903 2007 > > ================================================================= > Instructions for joining and leaving this list, remarks about the > problem of INAPPROPRIATE MESSAGES, and archives are available at > http://jse.stat.ncsu.edu/ > ================================================================= -- Tim Victor Policy Research, Evaluation, and Measurement Psychology in Education Division Graduate School of Education University of Pennsylvania ================================================================= Instructions for joining and leaving this list, remarks about the problem of INAPPROPRIATE MESSAGES, and archives are available at http://jse.stat.ncsu.edu/ =================================================================
