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Re: st: CR and AVE for factor analysis with 2 factors
From
"Florian Christian Esser" <[email protected]>
To
[email protected]
Subject
Re: st: CR and AVE for factor analysis with 2 factors
Date
Tue, 29 Oct 2013 10:33:24 +0100
It's 15
> What's e(df_m) in your case?
> Nick
> [email protected]
>
>
> On 29 October 2013 09:07, Florian Christian Esser
> <[email protected]> wrote:
>> Here we go (I included the uniqueness and the loadings as well).
>> Communalities are on the bottom:
>> _____________________________________________________________
>>
>>
>> . matrix list e(Psi)
>>
>> e(Psi)[1,6]
>> zwmdiff_1 zwpdiff_1 zwpdiff_2 zwcost_1 zwcost_2
>> zwcost_3
>> Uniqueness .14721836 .16061008 .12541414 .01425274 .01366305
>> .02630422
>>
>> . matrix list e(L)
>>
>> e(L)[6,3]
>> Factor1 Factor2 Factor3
>> zwmdiff_1 .81629684 .233233 .36337787
>> zwpdiff_1 .82275816 .39938175 -.05434294
>> zwpdiff_2 .8671496 .34761446 .04244559
>> zwcost_1 -.52875169 .83417333 .10160593
>> zwcost_2 -.51348298 .84223386 .11538764
>> zwcost_3 -.18959666 -.28021389 .9269461
>>
>> . matrix psi = e(Psi)'
>>
>> . matrix communalities = J(rowsof(psi),1,1)
>>
>> . matrix communalities = communalities - psi
>>
>> . matrix colnames communalities = communalities
>>
>> . matrix list communalities
>>
>> communalities[6,1]
>> communalit~s
>> zwmdiff_1 .85278164
>> zwpdiff_1 .83938992
>> zwpdiff_2 .87458586
>> zwcost_1 .98574726
>> zwcost_2 .98633695
>> zwcost_3 .97369578
>> _____________________________________________________
>>
>>> What is implied by your log is that
>>>
>>> replace sum_factors = sum_factors + sqrt(communalities[3,1])
>>>
>>> has the effect of replacing -sum_factors- with missing. So, please
>>> show us that -communalities- matrix,
>>> namely the result of your line
>>>
>>> matrix list communalities
>>>
>>> (I see on closer examination that the -communalities- matrix is not
>>> the communalaties as first reported, but modified.)
>>>
>>> No idea, sorry, about your general factor analysis question. I'm
>>> firmly a PCA person.
>>> Nick
>>> [email protected]
>>>
>>>
>>> On 29 October 2013 07:14, Florian Christian Esser
>>> <[email protected]> wrote:
>>>> Hi Nick, thanks a lot for your advice.
>>>> Unfortunately, all my communalities are positive.
>>>> Does anyone have any ideas, what else could cause the issue?
>>>>
>>>> Is the general approach correct, to calculate CR and AVE for both
>>>> factors
>>>> at the same time, or would I have to do it individually. I.e. I do the
>>>> factor analysis, identify, that the indicators load on two factors and
>>>> then calculate CR and AVE for each factor individually?
>>>>
>>>>> Your missing value is presumably the result of taking the square root
>>>>> of a negative number. Is at least one of your communalities reported
>>>>> as negative?
>>>>>
>>>>> That aside you have segments like
>>>>>
>>>>> gen nvar = e(df_m)
>>>>> gen sum_factors=0
>>>>> local i=1
>>>>> while `i' <= nvar {
>>>>> replace sum_factors = sum_factors + sqrt(communalities[`i',1])
>>>>> local i=`i'+1
>>>>> }
>>>>>
>>>>> You can simplify this. First, to hold constants, use locals or
>>>>> scalars, not variables. Second, use -forval- to loop here:
>>>>>
>>>>> local nvar = e(df_m)
>>>>> local sum_factors = 0
>>>>> forval i = 1/`nvar' {
>>>>> local sum_factors = `sum_factors' + sqrt(communalities[`i',1]
>>>>> }
>>>>>
>>>>> Third, use Mata instead. Here is a self-contained example:
>>>>>
>>>>> . matrix foo = (1,2,3,4)
>>>>>
>>>>> . mata : st_numscalar("sum_factors", sum(sqrt(st_matrix("foo"))))
>>>>>
>>>>> . scalar li
>>>>> sum_factors = 6.1462644
>>>>>
>>>>> However, none of these tricks can get round what appears to be your
>>>>> problem.
>>>>>
>>>>>
>>>>> Nick
>>>>> [email protected]
>>>>>
>>>>>
>>>>> On 28 October 2013 14:11, Florian Christian Esser
>>>>> <[email protected]> wrote:
>>>>>> Hi everyone,
>>>>>>
>>>>>> I am trying to do factor analysis in order to measure two strategy
>>>>>> constructs. I have 6 indicators that load on these two constructs.
>>>>>> Now
>>>>>> I
>>>>>> want to calculate composite reliability (CR) and average variance
>>>>>> extracted(AVE).
>>>>>> I use the following code (here for CR):
>>>>>> ___________________________________________________________________
>>>>>> factor zwmdiff_1 zwpdiff_1 zwpdiff_2 zwcost_1 zwcost_2 zwcost_3, pcf
>>>>>> matrix list e(Psi)
>>>>>> matrix list e(L)
>>>>>> matrix psi = e(Psi)'
>>>>>> matrix communalities = J(rowsof(psi),1,1)
>>>>>> matrix communalities = communalities - psi
>>>>>> matrix colnames communalities = communalities
>>>>>> matrix list communalities
>>>>>> gen nvar = e(df_m)
>>>>>> gen sum_factors=0
>>>>>> local i=1
>>>>>> while `i' <= nvar {
>>>>>> replace sum_factors = sum_factors + sqrt(communalities[`i',1])
>>>>>> local i=`i'+1
>>>>>> }
>>>>>> generate sum_psi=0
>>>>>> local i=1
>>>>>> while `i' <= nvar {
>>>>>> replace sum_psi = sum_psi + psi[`i',1]
>>>>>> local i=`i'+1
>>>>>> }
>>>>>> gen cr=(sum_factors*sum_factors)/((sum_factors*sum_factors)+sum_psi)
>>>>>> drop nvar
>>>>>> drop sum_factors
>>>>>> drop sum_psi
>>>>>> list cr in 1
>>>>>> _________________________________________________________________
>>>>>>
>>>>>> The problem is that once the local macro starts running it tells me:
>>>>>> _____________________________
>>>>>> [...]
>>>>>> (534 real changes made)
>>>>>> (534 real changes made)
>>>>>> (534 real changes made, 534 to missing)
>>>>>> (0 real changes made)
>>>>>> (0 real changes made)
>>>>>> (0 real changes made)
>>>>>> [...]
>>>>>> ___________________________
>>>>>>
>>>>>> and accordingly there is an empty result for CR.
>>>>>> If I add "factors(1)" in the command line above, I get a result, but
>>>>>> I
>>>>>> since I have two factors, I think it is not correct to do this.
>>>>>>
>>>>>> Does anyone know what to do here?
>>>>>>
>>>>>> Thanks a lot in advance.
>>>>>>
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