maximum likelihood factor analysis

2000-04-22 Thread kjessup

A self-report scale was constructed to measure work ethic and included three
conceptually derived components of work ethic.  Maximum likelihood factor
analysis was then applied with the request of 3 factors to determine if the
conceptually derived components actually represent empirical factors.  Is
this an appropriate/acceptable manner of evaluating the factor structure of
the scale?  Also, my version of SPSS (6.0) reports percent of variance
accounted for by each factor, but doesn't indicate if this is common variance
or total variance.  Does someone know which variance is reported.  Is maximum
likelihood factor analysis used with either principle components or principal
factors analysis?  I would appreciate any explanation someone might offer.  I
have had difficulty finding any explanation on the web concerning these
issues. Kary


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Suggestions for book of probability exercises?

2000-04-22 Thread Mark Glickman


Hi - I was wondering if anyone out there had any
recommendations for a book of probability exercises to use as
a supplement to a probability textbook.  I teach a first
course in calculus-based (not measure-theoretic) probability, 
and I'm very happy with the textbook I'm using ("Fundamentals
of Probability" by Ghahramani), but students have asked me if 
I could recommend a supplementary book of exercises with solutions
from which they could practice problem solving.  I think having
access to such a book would be a great help for students.

Much appreciation in advance...

   - Mark

--
Prof. Mark E. Glickman tel: (617) 353-5209
Dept of Math and Statisticsfax: (617) 353-8100
Boston University
111 Cummington Street 
Boston, MA  02215  http://math.bu.edu/people/mg


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Re: Helo;-(((( Can not find minimal sufficient statistics for logistic distribution;-(

2000-04-22 Thread Herman Rubin

In article [EMAIL PROTECTED],
AngelNochek [EMAIL PROTECTED] wrote:
Helo;- Can not find minimal sufficient statistics for logistic
distribution;-(
I don't have a general method on finding minimal sufficient
statistics, please, help explaining. Thank you. 

This problem keeps coming up, not necessarily for this
distribution.  One way to attack it is to note that a
statistic is pairwise sufficient if and only if the ratio
of the densities for two states of nature is a function of
the statistic except for probability zero, and that if the
distributions have densities with respect to a well-behaved
measure, this is equivalent to sufficient.  So anything one
can compute from the ratio of likelihood functions must be
determined from any sufficient statistic.  In this problem,
this can be used to find the minimum sufficient statistic.

-- 
This address is for information only.  I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Dept. of Statistics, Purdue Univ., West Lafayette IN47907-1399
[EMAIL PROTECTED] Phone: (765)494-6054   FAX: (765)494-0558


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Re: categorical data analysis

2000-04-22 Thread kermit

Date sent:  Sat, 22 Apr 2000 13:31:50 -0400 (EDT)
From:   "Donald F. Burrill" [EMAIL PROTECTED]
To: Kermit Rose [EMAIL PROTECTED]
Copies to:  [EMAIL PROTECTED]
Subject:Re: categorical data analysis


Hello  Donald!


 
 [ KR:  Please post any response to the edstat list as well as to me.
   I may not have the leisure to continue this conversation, and others on
   the list may have better advice for you in any case. -- DFB. ]

OK.  edstat is included on the reply list.

 
 To begin with, you have not told us what the professor in criminology is
 trying to find out, and why;  without that information, no-one can offer
 you (or the professor) useful advice on data analysis.
 

The dependent variable is based on the following question.

Recently the problem of overcrowing in the state university system 
in Florida has been the subject of considerable debate. Some have 
suggested the elimination of preferential treatment in college 
admissions as a potential remedy.  In your opinion, which of the 
following groups listed should continue receiving preferential 
treatment in the admissions process. (1 = yes, 0 = no)

q45a athelets
q45b national merit scholars (honor students)
q45c economically disadvantaged
q45d historically disadvantaged
q45e children of wealthy benefactors
q45f children of university alumni
q45g ethnic and racial minorities
q45h students with disabilities
q45i students with prior criminal records
q45j students with unique artistic talents

The goal is to determine whether or not a persons choices on the 
10 questions is predictable in terms of independent variable values 
of education, age, race, income, marital status, political party, sex, 
racial attitudes, etc


 Your proposed procedure seems unnecessarily cumbersome.  So far as I can
 tell from all that algebra, you're effecitively substituting a whole bunch
 of 2x2 tables for a single RxC table (R = number of rows, C = number of
 columns) with R2 and(/or?) C2.  Or, for each of several RxC tables.

Yes.  This is the intent.  I wanted to reduce the R by C table to a 
series of 2 by 2 tables.

  Why do you not first do the obvious contingency table chi-square 
 to see if there's anything worth following up?  (And if I were doing it,
 the follow-up(s) would be in the RxC format as well.)

It is because the dependent variable is multivalued.  A person may 
check 0, 1,2 ,3,4,5,6,7,8,9 or 10 of the preferences.  I want to be 
able to identify which of the choices was checked, not just the 
number of them.  There is no theory for weighing the choices before 
the analysis is complete.  I wanted to construct a method for 
systematically examing all 1023 possible choices of dependent 
variable.


  Your #1 null hypothesis is that two dichotomized variables are 
 independent.  I don't believe the test statistic you propose -- more about
 that later -- but this is the formal null hyp. for the usual contingency
 table chi square.
 

I can show the derivation of the test statistic.  I made a mistype in 
typing the formula and have given the correct version below. 

Do you mean that I've stated correctly that the null hypothesis for 
the chi square test on crosstab is that the variables are 
independent?


  The dependent variable is a multivalued categorical variable.
  So far, so good.
 
  The model dependent variable is an interaction variable.  It is the
  interaction of some subset of the 10 two-valued dummy variables
  representing the dependent variable.  The 10 values of the dependent
  variable are choices of preferential treatment for affirmative action. 



  Here it begins to get sticky.  I cannot tell whether you mean the 
  same thing by "interaction" that I would mean.  In particular, 
  there seems to be no difference between "interaction variable", 
  in your terms, and "indicator variable", in my terms.


I'm not sure what you mean by "indicator variable".  I've only seen 
the term in connection with latent variables in structual equation 
modeling.

I'm pretty sure my use of "interaction" is consistent with your use 
of "interaction".

Suppose I chose the 1st, 3rd, and 5th dependent variables as my 
subset to represent the model dependent variable.  I chose the 
word "interaction" because I expected readers would know I meant 
the product of the chosen dependent variables.  Since each 
dependent variable is 0 or 1, the product will be 1 if and only if 
every one of the chosen dependent variables is 1.

That is, I would call the model dependent variable true (meaning = 
1)  if it corresponded to dependent variables 1,3 and 5  and all three 
of dependent variables 1,3,5 were equal to 1.  For this model I 
would not care what  dependent variables 2,4,6,7,8,9,10 were.

When I inplement this in programming I would of course figure out 
efficient ways to calculate the frequencies.  It will not be trivial, but I 
have a general idea how to do it.

 
  The model 

Example of transformation of waste materials needed

2000-04-22 Thread danaclarke

Wanted: I am looking for 
examples from science, engineering 
and everyday life where if you need 
to add a substance, it is advantageous 
to transform a waste material to 
obtain that substance. 
Please respond by sending an e-mail to 
[EMAIL PROTECTED] .


HtAIACDD


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