SAS is the best package for Factor analysis in Windows

2001-09-06 Thread Andreas Karlsson

In my opinion SAS is the best computer package for Factor analysis in
Windows. And for most other analyses too...


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Re: SAS is the best package for Factor analysis in Windows

2001-09-06 Thread Andreas Karlsson

On Thu, 06 Sep 2001 13:41:32 GMT, [EMAIL PROTECTED] (Andreas
Karlsson) wrote:

In my opinion SAS is the best computer package for Factor analysis in
Windows. And for most other analyses too...


testing...



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Re: Simple Probability Proof Requested

2001-09-06 Thread Herman Rubin

In article [EMAIL PROTECTED],
Sloppy Joe  [EMAIL PROTECTED] wrote:
Greetings -

Suppose I have a method such as a fair 6-sided die.  I roll the die 10
times and get the following trial history:

3-5-1-3-6-4-6-2-1-5

From what I can recall from probability, I cannot predict the next roll
of the die based on the previous rolls.  Each number on the die will
have an equal probability of occuring on the 11th roll no matter what
has occurred previously: 1/6.  My question is this ...

How can this be proven mathematically?

Thanks for any help!

This follows from independence.  The usual, and in
my opinion quite poor, definition of independence
(skipping some steps) is the if one has k independent
random variables,

P(X_i \in E_i for all i) = \prod P(X_i \in E_i);

this is enough to get the result you want.  A better
definition is that if one forms an even A from some
of the variables, the conditional probability of A
given any information about the rest of them is the
same as the unconditional probability; this is the
way it is used, anyhow.
-- 
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: Simple Probability Proof Requested

2001-09-06 Thread Robert J. MacG. Dawson



 Sloppy Joe  [EMAIL PROTECTED] wrote:
 Greetings -
 
 Suppose I have a method such as a fair 6-sided die.  I roll the die 10
 times and get the following trial history:
 
 3-5-1-3-6-4-6-2-1-5
 
 From what I can recall from probability, I cannot predict the next roll
 of the die based on the previous rolls.  Each number on the die will
 have an equal probability of occuring on the 11th roll no matter what
 has occurred previously: 1/6.  My question is this ...
 
 How can this be proven mathematically?

It can't be. It's just the conventional definition of fair. 

There is no reason why a die cannot be weighted so that the probability
of a certain number appearing on any roll is *not* 1/6; and there is no
reason why a die cannot be constructed (say, using some cunning
clockwork, or lead shot in a very viscous liquid) so that the
probabilities for one roll depend on the rolls before it. Neither of
these is ruled out by the observation described above (though they
provide some evidence against the repeating die last described).

Moreover, a die may have equal probability without independence, or
independence without equal probability.  Fairness is generally
understood as implying both properties. 

(This may not quite correspond to the general meaning. If I say I have
a weighted die in my pocket that only rolls one number. I bet you 5 to 1
that you cannot guess what it will roll! that is a fair bet - once!
Moreover, it is a fair bet even if I do not tell you that the die is
loaded, provided its faces only have conventional numbers of spots (1
through 6, though not necessarily one of each.))

-Robert Dawson


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RE: Factor analysis - which package is best for Windows?

2001-09-06 Thread Magill, Brett

MVA comes with R base.  However, it is a seperate library.  Libraries that
are not sent with base are available in Windows binaries on CRAN, but you do
not have to worry about that for MVA.

Type:

library()

and you will get a list of the available packages.  To make MVA available
(i.e. load it), type:

library(mva)

then you can ask for, for example:

help (factanal)



-Original Message-
From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED]]
Sent: Wednesday, September 05, 2001 5:42 PM
To: [EMAIL PROTECTED]
Subject: Re: Factor analysis - which package is best for Windows?


[EMAIL PROTECTED] (Magill, Brett) wrote in message
news:[EMAIL PROTECTED]...
 Also check out R, a GNU implementation of the S language, most prominently
 known through its use in S-Plus.  R is a fully featured statisitical
 programming environment.  In its MVA (Multivariate) package, it includes
 routines for factor analysis using maximum liklihood estimation with
varimax
 and promax rotations.
 

I have installed R1.3.0 on  my Windows system and have noted that MVA
is an add-on.  The FAQ tells how to obtain these add-ons but only for
UNIX.  Is this add-on actually available for Windows?  If so, how do I
obtain it?

Thanks,
Peter


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Re: How estimate p to Bernoulli Trial?

2001-09-06 Thread Warren

Rafael,
Is this homeworks?
You're on the right track...you either need a separate guess for the
probability of success or you need an estimate from a sample.

Is there an even chance of turning right or left?

Are you a classicist, a frequentist or a subjectivist?
:)
Warren




[EMAIL PROTECTED] (RFerreira) wrote in message 
news:[EMAIL PROTECTED]...
 Hi,
 To a single Bernoulli Trial (one car leaving the park goes left or
 right)if I preview go to right and this happens trial out is success
 .But what p probability I can give to this? I imagine the correct way
 is tally the frequencies at ,eg, 10 cars go right and then do my only
 trial, with some p of shure. This is p is achieved After some number
 of Bernoulii trials to be used Before one or more future trials?
 Thank you in advance for any comments.
 Regards
 Rafael


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Definitions of Likert scale, Likert item, etc.

2001-09-06 Thread John Uebersax

A recent question made me realize the extent of ambiguity in the use
of Likert scale and related terms.  I'd like to see things be more
clear.  Here are my thoughts (I don't claim they are correct; they're
just a starting point for discussion).  Concise responses are
encouraged.  If there are enough, I'll post a summary.

1.  Likert scaling strictly refers to the scaling method developed
by Likert in the 1930's.  If refers entire process of scaling a set of
many items (i.e., as an alternative to Thurstone scaling). One step of
this is administering many items to individuals.   Each item has
integer-labeled rating levels.

Likert used the method only for attitude measurement, and with 
response categories indicating levels of agreement to specific
statements, like:

I believe the work week should be reduced to 32 hours.

1.  strongly disagree
2.  mildly disagree
3.  neither agree nor disagree
4.  mildly agree
5.  strongly agree

2.  A Likert scale, strictly speaking, refers to a set of many such
items.

3.  I do not know if Likert also used a visual analog format such as:
  
 neither
strongly   mildly   agree normildly   strongly
disagree  disagree  disagree agree agree
 
   1 2  3  4 5
   +-+--+--+-+

4. It seems reasonable to refer to a single such item as a Likert
item.  However, many people seem to refer to a single item of this
type as a Likert scale; that would seem to invite confusion, as
Likert's original intent was to produce a scale compused of many such
items.

5. Many researchers use such items outside the area of attitude
measurement; it seems reasonable to refer to such items as
Likert-type items, to distinguish them from strict Likert items as
described above.

If anyone has any definitive references that clarify this, I would
greatly appreciate learning of them.


John Uebersax, PhD (805) 384-7688 
Thousand Oaks, California  (805) 383-1726 (fax)
email: [EMAIL PROTECTED]

Agreement Stats:   http://ourworld.compuserve.com/homepages/jsuebersax/agree.htm
Latent Structure:  http://ourworld.compuserve.com/homepages/jsuebersax
Existential Psych: http://members.aol.com/spiritualpsych



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RE: Definitions of Likert scale, Likert item, etc.

2001-09-06 Thread Paul R. Swank

In general, as these things always seem to go, many folks call any item from
a summated rating scale a Likert item. But, like the use of relationship
instead of relation, it seems to be a difficult practice to stamp out.

Paul R. Swank, Ph.D.
Professor
Developmental Pediatrics
UT Houston Health Science Center

-Original Message-
From: [EMAIL PROTECTED]
[mailto:[EMAIL PROTECTED]]On Behalf Of John Uebersax
Sent: Thursday, September 06, 2001 12:44 PM
To: [EMAIL PROTECTED]
Subject: Definitions of Likert scale, Likert item, etc.


A recent question made me realize the extent of ambiguity in the use
of Likert scale and related terms.  I'd like to see things be more
clear.  Here are my thoughts (I don't claim they are correct; they're
just a starting point for discussion).  Concise responses are
encouraged.  If there are enough, I'll post a summary.

1.  Likert scaling strictly refers to the scaling method developed
by Likert in the 1930's.  If refers entire process of scaling a set of
many items (i.e., as an alternative to Thurstone scaling). One step of
this is administering many items to individuals.   Each item has
integer-labeled rating levels.

Likert used the method only for attitude measurement, and with
response categories indicating levels of agreement to specific
statements, like:

I believe the work week should be reduced to 32 hours.

1.  strongly disagree
2.  mildly disagree
3.  neither agree nor disagree
4.  mildly agree
5.  strongly agree

2.  A Likert scale, strictly speaking, refers to a set of many such
items.

3.  I do not know if Likert also used a visual analog format such as:

 neither
strongly   mildly   agree normildly   strongly
disagree  disagree  disagree agree agree

   1 2  3  4 5
   +-+--+--+-+

4. It seems reasonable to refer to a single such item as a Likert
item.  However, many people seem to refer to a single item of this
type as a Likert scale; that would seem to invite confusion, as
Likert's original intent was to produce a scale compused of many such
items.

5. Many researchers use such items outside the area of attitude
measurement; it seems reasonable to refer to such items as
Likert-type items, to distinguish them from strict Likert items as
described above.

If anyone has any definitive references that clarify this, I would
greatly appreciate learning of them.



John Uebersax, PhD (805) 384-7688
Thousand Oaks, California  (805) 383-1726 (fax)
email: [EMAIL PROTECTED]

Agreement Stats:
http://ourworld.compuserve.com/homepages/jsuebersax/agree.htm
Latent Structure:  http://ourworld.compuserve.com/homepages/jsuebersax
Existential Psych: http://members.aol.com/spiritualpsych




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Re: Definitions of Likert scale, Likert item, etc.

2001-09-06 Thread Dennis Roberts

again ... the best place to read about what rensis likert did ... is to 
read his work:

a technique for the measurement of attitudes, archives of psychology, #140, 
New York, June 1932

to the best of my knowledge, this document is not online in any form (not 
that it should be) even though it is a sort of famous document (but, unread 
far too often)

here are examples of each type of item that likert used in this work ... 
his dissertation  under the guidance of gardner murphy

likert used 3 different attitude scales ... each consisting of multiple items

one was the internationalism scale, one was the negro scale, the final one 
was an imperialism scale

below, i will give ONE example from each type of item used (not necessarily 
from each scale)

QUESTION ASKED YES NO kind of response scale

Do you favor the early entrance of the United States into the League of 
Nations?

 YES (4)   ? (3)NO (2)#s = scale weights

[THERE WERE  19 ITEMS LIKE THIS ACROSS THE 3 SCALES]

QUESTION ASKED WITH VERBAL OPTIONS FOR RESPONSES

How much military training should we have?

   (a) We need universal compulsory military training  (1)
   (b) We need Citizens Military Training Camps and Reserve Officers 
Training Corps, but not universal military training  (2)
(c) We need some facilities for training reserve officers but not as 
much as at present (3)
(d) We need only such military training as is required to maintain our 
regular army (4)
 (e) All military training should be abolished  (5)

[THERE WERE  8 ITEMS LIKE THIS (hard to make)ACROSS THE 3 SCALES]

STATEMENT PRESENTS WITH TYPICAL LIKERT RESPONSE SCALE

All men who have the opportunity should enlist in the Citizens Military 
Training Camps

Strongly Approve (1)   Approve (2)  Undecided (3)   Disapprove 
(4)   Strongly Disapprove (5)

[THERE WERE 31 ITEMS LIKE THIS ACROSS THE 3 SCALES]

now, NO OTHER FORMS OF ITEMS WERE USED BY LIKERT IN THIS 1932 WORK ...

for each attitude scale, a summed value was obtained ...

At 10:44 AM 9/6/01 -0700, John Uebersax wrote:
A recent question made me realize the extent of ambiguity in the use
of Likert scale and related terms.  I'd like to see things be more
clear.  Here are my thoughts (I don't claim they are correct; they're
just a starting point for discussion).  Concise responses are
encouraged.  If there are enough, I'll post a summary.

_
dennis roberts, educational psychology, penn state university
208 cedar, AC 8148632401, mailto:[EMAIL PROTECTED]
http://roberts.ed.psu.edu/users/droberts/drober~1.htm



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Re: Definitions of Likert scale, Likert item, etc.

2001-09-06 Thread Dennis Roberts

we do have a semantics problem with terms like this ... scale ... and 
confuse sometimes the actual physical paper and pencil instrument with the 
underlying continuum on which we are trying to place people

so, even in likert's work ... he refers to THE attitude scales ... and then 
lists the items on each ... thus, it is easy to see an equating made 
between the collection of items ... nicely printed ... BEING the scale ...

but really, the scale is not that ... one has to think about the  SCORE 
value range ... that is possible ... when this physical thing (nicely 
printed collection of items) is administered to Ss ...

thus ... for 10 typically response worded likert items with SA to SD ... 
the range of scores on the scale might be 10 to 50 ... of which any 
particular S might get any one of those values somewhere along the continuum

but of course, scale is even deeper than that since, what we really have 
is a psychophysical problem ... that is, what is the functional 
relationship that links the physical scale ... 10 to 50 ... to  the 
(assumed to exist) underlying psychological continuum ...

PHYSICAL SCALE 10 (NEGATIVE)  50 
(POSITIVE)

PSYCHOLOGICAL
CONTINUUM  MOST NEGATIVE  
MOST POSITIVE

problems like ... do equal distances along the physical scale ... equate to 
the same and equal distances along the psychological continuum? is there a 
linear relationship between these two? curvilinear?

so, i think what we really mean by scale is  this construct ... ie, the 
psychological continuum ... and a scale value would be where a S is along 
it ... but, about the best we can do to assess this is to see where the S 
is along the physical scale ... ie, where from 10 to 50 ... and use this as 
our PROXY measure ...

BUT IN any case ... i think it is helpful NOT to call the actual instrument 
... the paper and pencil collection of items ... THE scale ...




_
dennis roberts, educational psychology, penn state university
208 cedar, AC 8148632401, mailto:[EMAIL PROTECTED]
http://roberts.ed.psu.edu/users/droberts/drober~1.htm



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Re: Definitions of Likert scale, Likert item, etc.

2001-09-06 Thread J. Williams

Rensis Likert was instrumental in founding the Institute for Social
Research at the University of Michigan in the mid 1940s.  He was truly
a pioneer statistician and psychologist.  He retired from Michigan in
1970 and passed away in 1981.  Variants of his 1 to 5 or 1 to 7 scale
are still found on many questionnaires in spite of the question about
scaling, equal distances, etc.  His studies on leadership and and
production still hold interest.  


On 6 Sep 2001 14:48:44 -0700, [EMAIL PROTECTED] (Dennis Roberts) wrote:

we do have a semantics problem with terms like this ... scale ... and 
confuse sometimes the actual physical paper and pencil instrument with the 
underlying continuum on which we are trying to place people

so, even in likert's work ... he refers to THE attitude scales ... and then 
lists the items on each ... thus, it is easy to see an equating made 
between the collection of items ... nicely printed ... BEING the scale ...

but really, the scale is not that ... one has to think about the  SCORE 
value range ... that is possible ... when this physical thing (nicely 
printed collection of items) is administered to Ss ...

thus ... for 10 typically response worded likert items with SA to SD ... 
the range of scores on the scale might be 10 to 50 ... of which any 
particular S might get any one of those values somewhere along the continuum

but of course, scale is even deeper than that since, what we really have 
is a psychophysical problem ... that is, what is the functional 
relationship that links the physical scale ... 10 to 50 ... to  the 
(assumed to exist) underlying psychological continuum ...

PHYSICAL SCALE 10 (NEGATIVE)  50 
(POSITIVE)

PSYCHOLOGICAL
CONTINUUM  MOST NEGATIVE  
MOST POSITIVE

problems like ... do equal distances along the physical scale ... equate to 
the same and equal distances along the psychological continuum? is there a 
linear relationship between these two? curvilinear?

so, i think what we really mean by scale is  this construct ... ie, the 
psychological continuum ... and a scale value would be where a S is along 
it ... but, about the best we can do to assess this is to see where the S 
is along the physical scale ... ie, where from 10 to 50 ... and use this as 
our PROXY measure ...

BUT IN any case ... i think it is helpful NOT to call the actual instrument 
... the paper and pencil collection of items ... THE scale ...




_
dennis roberts, educational psychology, penn state university
208 cedar, AC 8148632401, mailto:[EMAIL PROTECTED]
http://roberts.ed.psu.edu/users/droberts/drober~1.htm



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Re: Definitions of Likert scale, Likert item, etc.

2001-09-06 Thread Alan McLean

It's certainly true that there is a semantic problem, with people
interpreting terms in different ways. (So what's new?)

Having started life (so to speak) as a mathematician, a 'scale' is a
characteristic of the variable being measured. The construct that a
couple of people have referred to as a 'Likert scale' I would call a
'variable' (or possibly 'measure'). The range of possible values, and
the way they are laid out (eg, for 0 to 100, hopefully 'interval' or
even 'ratio') forms the scale for this variable.

The common usage of 'Likert scale' to mean an ordinal scale, usually
from 1 to 5, usually expressing level of agreement with a proposition
fits this view of the terms. An individual item of this type defines a
variable, and this variable has a Likert scale, in this sense of the
term. The composite variable or measure (hopefully) has a reasonably
numeric scale.

Regards,
Alan 

Dennis Roberts wrote:
 
 we do have a semantics problem with terms like this ... scale ... and
 confuse sometimes the actual physical paper and pencil instrument with the
 underlying continuum on which we are trying to place people
 
 so, even in likert's work ... he refers to THE attitude scales ... and then
 lists the items on each ... thus, it is easy to see an equating made
 between the collection of items ... nicely printed ... BEING the scale ...
 
 but really, the scale is not that ... one has to think about the  SCORE
 value range ... that is possible ... when this physical thing (nicely
 printed collection of items) is administered to Ss ...
 
 thus ... for 10 typically response worded likert items with SA to SD ...
 the range of scores on the scale might be 10 to 50 ... of which any
 particular S might get any one of those values somewhere along the continuum
 
 but of course, scale is even deeper than that since, what we really have
 is a psychophysical problem ... that is, what is the functional
 relationship that links the physical scale ... 10 to 50 ... to  the
 (assumed to exist) underlying psychological continuum ...
 
 PHYSICAL SCALE 10 (NEGATIVE)  50
 (POSITIVE)
 
 PSYCHOLOGICAL
 CONTINUUM  MOST NEGATIVE 
 MOST POSITIVE
 
 problems like ... do equal distances along the physical scale ... equate to
 the same and equal distances along the psychological continuum? is there a
 linear relationship between these two? curvilinear?
 
 so, i think what we really mean by scale is  this construct ... ie, the
 psychological continuum ... and a scale value would be where a S is along
 it ... but, about the best we can do to assess this is to see where the S
 is along the physical scale ... ie, where from 10 to 50 ... and use this as
 our PROXY measure ...
 
 BUT IN any case ... i think it is helpful NOT to call the actual instrument
 ... the paper and pencil collection of items ... THE scale ...
 
 _
 dennis roberts, educational psychology, penn state university
 208 cedar, AC 8148632401, mailto:[EMAIL PROTECTED]
 http://roberts.ed.psu.edu/users/droberts/drober~1.htm
 
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-- 
Alan McLean ([EMAIL PROTECTED])
Department of Econometrics and Business Statistics
Monash University, Caulfield Campus, Melbourne
Tel:  +61 03 9903 2102Fax: +61 03 9903 2007


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Re: Definitions of Likert scale, Likert item, etc.

2001-09-06 Thread Robert J. MacG. Dawson

Alan McLean wrote:

 The composite variable or measure (hopefully) has a reasonably
 numeric scale.

I don't think (in light of the Central Limit Theorem) that the problem
is whether the composite's reasonably numeric. It is. The problem,
when the data's given the usual ANOVic treatment, is what the heck the
mean means.

In some circumstances the only important thing is how many people
strongly agree and the Laodiceans can be lumped with the naysayers. In
other circumstances other interpretations apply. Taking the arithmetic
mean of  Likert data fudges this issue.


-Robert Dawson


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Re: Factor analysis - which package is best for Windows?

2001-09-06 Thread Richard Wright

I can't say whether it any good, let alone the best. But I have just
seen the following on an archaeological post.

UNESCO has released WinIDAMS 1.0 for 32-bit Windows operating system.
WinIDAMS is a freeware software package for numerical information
processing and statistical analysis. It provides a complete set of
data manipulation and validation facilities and a wide range of
classical and advanced statistical techniques, including interactive
construction of multidimensional tables, graphical exploration of data
and time series analysis.

You can find more information at the following url:

http://www.unesco.org/idams 

I have checked the URL. It does offer factor analysis.

Richard Wright


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