validating a questionnaire

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Re: Comparing standard deviations

Bruce Weaver
Administrator
That is what I recall about the CV too.  

Here's what you said in your original post:

"I have several tests which have different number of questions (from 20 to 100) so the maximum possible score on each test form is different."

I gather that test scores are sums, is that right?  Are the items on the tests all of the same form -- e.g., are they all 5- or 7-point Likert-type items?  If so, why not  just use means rather than sums as the test scores?


Humphrey-6 wrote
I googled CV and found out that it can only be used for ratio scale data. But test scores are  interval. Any Comments?
Humphrey

--- On Tue, 6/1/10, Lukas Fehrenbach <lukasfehrenbach@GOOGLEMAIL.COM> wrote:

From: Lukas Fehrenbach <lukasfehrenbach@GOOGLEMAIL.COM>
Subject: Re: Comparing standard deviations
To: SPSSX-L@LISTSERV.UGA.EDU
Date: Tuesday, June 1, 2010, 10:00 AM

This is a better link, where you can download the complete paper mentioned above

http://www.treesearch.fs.fed.us/pubs/31993

Lukas Fehrenbach






2010/6/1 Marta García-Granero <mgarciagranero@gmail.com>


I agree with William. You should compare CV.



Take a look at this paper (sorry, you'll have to download each page one

by one...).



http://babel.hathitrust.org/cgi/pt?seq=3&view=pdf&size=100&id=umn.31951d03009506q&u=1&num=1





HTH,

Marta GG



Humphrey Paulie escribió:




Dear all,



I have several tests which have different number of questions (from 20

to 100) so the maximum possible score on each test form is different.

Therefore, I cannot compare the standard deviations of the samples who

have taken each test form. What can I do to bring the standard

deviations onto the same scale and make them comparable? I want to

know which test has spread the subjectes more widely.



Cheers



Humphrey














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Bruce Weaver
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"When all else fails, RTFM."

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% of varinace explained by factors

Humphrey Paulie
In reply to this post by DataMaestro
Dear all,
What does the "% of varinace" explianed by factors in factor analysis indicate in terms of test validity and quality? Factor analysis of several of my test forms has revealed a one-factor solution for all of them. However, the "% of variance" in the first factor is very different across the tests. Can I argue that the test which has the greatest "% of variance" is the most valid?
Why and how?
Thanks
Humphrey


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Re: Factor Analysis

Khaing Soe
Dear All,

May be a silly question.
My factor analysis came up with 16 factors/components out of 36 variables.I
am going to do wealth index scoring through percentile ranking.
Which factor out of 16 should I select and how?
Thanking in advance,

Khaing Soe
M&E Officer
UNICEF Myanmar

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Re: Factor Analysis

Maguin, Eugene
Khaing Soe,

The question is not silly; it's a nice practical question. I don't know
anything about wealth indexes but I'm sure you do and so you will have read
about the variables that make up the wealth indexes used in other countries.
That is some guidance. Wealth score, which I'm assuming is a person level
score rather than a country/region/district score, correlates with other
things. What I'm not exactly sure but, again, the literture will offer
guidance. If you measured some of those other things, you can compute your
own set of correlations.

Although you didn't ask for this, I'd like to comment on your factor
analysis results. It seems to me that 16 factors from 36 items is way too
many. On average, you have two items per factor. I'd guess that you have a
number of single item factors. Think about the idea of a factor. An
unobserved variable that strongly predicts a set of observed items
(variables) that share a conceptual, logical, and semantic commonality.

Gene Maguin


>>May be a silly question.
My factor analysis came up with 16 factors/components out of 36 variables.I
am going to do wealth index scoring through percentile ranking.
Which factor out of 16 should I select and how?
Thanking in advance,

Khaing Soe
M&E Officer
UNICEF Myanmar

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[hidden email] (not to SPSSX-L), with no body text except the
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Re: % of variance explained by factors

Mike Griffiths
In reply to this post by Humphrey Paulie

Since nobody else has responded to this, I will indulge in some observations.

 

[I will use ‘cases’ and ‘responses’ interchangeably; and ‘items’ and ‘questions’ interchangeably.]

 

Firstly, I trust that your data are good enough for factor analysis.  For example,

  • Tabachnick and Fidell (2007) say it is “comforting to have at least 300 cases” (although they do hedge around this and say it could go as low as 50 in some circumstances). 
  • Other authors have suggested 5-10 cases are needed for each item on the test. 
  • A thorough screening would also consider questions of normality, linearity, outlier cases, and multicollinearity.

 

If your intention was to create tests where all the items measure the same underlying concept, then I suppose a one-factor solution would seem to be comforting.  I suppose the amount of variance explained by the first factor could be taken as a measure of how much the items do all assess the same thing.  But presumably you would expect to see this figure reduce the more items you have.  And the reason for the bullets above is that failure to find more than one factor might be an artefact of failing to meet the assumptions, especially on sample size.  Low loading on that factor might also be due to failure of assumptions.

 

However, if what you want to measure is the internal consistency of the test, surely Cronbach’s alpha would be the conventional way of doing it.  (This suffers from the opposite problem in relation to items, i.e. Cronbach’s alpha tends to increase as the number of items increases.)

 

If you are in a position to regard your questionnaires as exploratory, one way in which you could use your factor analysis results is to look for outlier items, i.e. questions which have low Squared Multiple Correlations in the initial solution [i.e. initial communalities in factor analysis (not in PCA, where they will all be 1)].  The variance in any such question does not overlap much with the other questions, so it does not appear to be measuring the same thing as the others.

 

All of the foregoing only applies to reliability, i.e. how much the test is consistently measuring the same thing.  There isn’t anything internal to the test which can measure validity, i.e. whether what you are measuring is what you intended to measure.

 

This is my first post on this forum so I stand ready to be shot down!


 

Date: Mon, 7 Jun 2010 12:54:22 -0700
From: [hidden email]
Subject: % of varinace explained by factors
To: [hidden email]

Dear all,
What does the "% of varinace" explianed by factors in factor analysis indicate in terms of test validity and quality? Factor analysis of several of my test forms has revealed a one-factor solution for all of them. However, the "% of variance" in the first factor is very different across the tests. Can I argue that the test which has the greatest "% of variance" is the most valid?
Why and how?
Thanks
Humphrey




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