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Re: st: Code-problem - calculating demand elasticities with a QUAIDS


From   Jorge Eduardo Pérez Pérez <[email protected]>
To   "[email protected]" <[email protected]>
Subject   Re: st: Code-problem - calculating demand elasticities with a QUAIDS
Date   Fri, 22 Nov 2013 17:32:37 -0500

If you are estimating a standard QUAIDS, there's no reason to use this
code anymore, as much as I like it.

Instead, have you tried using Brian Poi's -quaids- command? It will
calculate these elasticities for you. To install, type

net install st0268_1.pkg

Regards,
--------------------------------------------
Jorge Eduardo Pérez Pérez
Graduate Student
Department of Economics
Brown University


On Fri, Nov 22, 2013 at 9:01 AM, Nick Cox <[email protected]> wrote:
> The definition of  the w* variables is not the question. It's where
> the local macro i is defined, which Stata can't see when it throws you
> out.
> Nick
> [email protected]
>
>
> On 22 November 2013 13:45,  <[email protected]> wrote:
>> I defined the "w"'s (in the same do-file) like this (at the beginning of my do-file):
>> gen     w1      =x1     /x1_4   (x = expenditure)
>> gen     w2      =x2     /x1_4
>> gen     w3      =x3     /x1_4
>> gen     w4      =x4     /x1_4
>> (x1 to x4 are included in the original dataset, and x1_4 is generated: gen x1_4   = x1 + x2 + x3 + x4)
>>
>> and then the w's are mentioned again here:
>> program nlsuraids
>> version 12
>> syntax varlist(min=8 max=8) [if], at(name)
>> tokenize `varlist'
>> args w1 w2 w3 lnp1 lnp2 lnp3 lnp4 lnx1_4
>>         (followed by "tempname"s and "scalar"s)
>>
>> Maybe it is not suitable to use "gen"?
>> How would a macro for w`i'mean look like?
>> global w`i'mean "x`i' / x1_4"           ?
>> global w`i'mean "mean(w`i')"    ?
>>
>> Thanks a lot!
>> Franziska
>>
>>
>>
>>
>> -----Ursprüngliche Nachricht-----
>> Von: [email protected] [mailto:[email protected]] Im Auftrag von Nick Cox
>> Gesendet: Freitag, 22. November 2013 14:06
>> An: [email protected]
>> Betreff: Re: st: Code-problem - calculating demand elasticities with a QUAIDS
>>
>> I like the word "Doktorandin".
>>
>> Stata's reference to
>>
>> wmean
>>
>> implies that the local macro i is undefined in the locale in which you are working. From a glance at your code this is puzzling. Are you defining all the code in the same locale, where locale means the same interactive session OR program OR do-file OR do-file editor contents?
>>
>> Note that "locale" is here my term borrowed from another language, and not one that you will find in the Stata documentation.
>>
>> I suggest it as a useful word: the locale of a local macro is the space within which it is visible.
>>
>> You can confirm what macros are visible at any point by peppering your code with
>>
>> macro list
>>
>> statements.
>> Nick
>> [email protected]
>>
>>
>> On 22 November 2013 12:25,  <[email protected]> wrote:
>>> Dear Statalist-Users
>>>
>>> I am trying to calculate budget and price elasticities for four meat products with a QUAIDS-model (using Swiss household data) (according to the method of Banks 1997 "Quadratic Engel Curves and Consumer Demand") and I have a problem with my code.
>>>
>>> This is (part of) the code I am using:
>>>
>>> quietly {
>>> foreach x of varlist w* lnp* lnx1_4 {
>>> sum `x'
>>> scalar `x'mean=r(mean)
>>> }
>>>
>>> * Price indexes
>>> global asum "_b[a1] * lnp1mean"
>>> forv i=2(1)4 {
>>> global asum "${asum} + _b[a`i'] * lnp`i'mean"
>>> }
>>> global gsum ""
>>> forv i=1(1)4 {
>>> forv j=1(1)4 {
>>> global gsum "${gsum} + 0.5 * _b[g`i'_`j'] * lnp`i'mean * lnp`j'mean"
>>> }
>>> }
>>> global lnaofp "5 + ${asum} ${gsum}" /* price index: ln a(p)*/
>>>
>>> global bofp "lnp1mean*_b[b1]"
>>> forv i=2(1)4 {
>>> global bofp "${bofp} + lnp`i'mean*_b[b`i']"
>>> }
>>> global bofp "(exp(${bofp}))" /* Cobb-Douglas price aggregator b(p) */
>>>
>>> * My's (i: delta budget share/delta ln-expenditure and ij: delta
>>> budget sh./delta ln-price) forv i=1(1)4 { global my`i' "_b[b`i'] +
>>> ((2*_b[l`i'])/${bofp})*(lnx1_4mean - (${lnaofp}))"
>>> }
>>> forv j=1(1)4 {
>>> global gsum2`j' ""
>>> forv k=1(1)4 {
>>> global gsum2`j' "${gsum2`j'} + _b[g`j'_`k'] * lnp`k'mean"
>>> }
>>> }
>>>
>>> forv i=1(1)4 {
>>> forv j=1(1)4 {
>>> global delta=cond(`i'==`j',1,0) /* Kronecker delta */ global my`i'_`j'
>>> "_b[g`i'_`j'] - ${my`i'}*(_b[a`j']${gsum2`j'}) - ((_b[l`i']*_b[b`j'])/${bofp})*((lnx1_4mean - ${lnaofp})^2)"
>>> *}
>>> *}
>>>
>>> capture nlcom (elx`i': ${my`i'}/ w`i'mean + 1) (my`i'_`j':
>>> ${my`i'_`j'}), post noheader if _rc { qui nlcom (elx`i': ${my`i'} /
>>> w`i'mean + 1) (my`i'_`j'f: (1e+2)*(${my`i'_`j'})), post noheader qui
>>> nlcom (elx`i': _b[elx`i']) (my`i'_`j':  _b[my`i'_`j'f]/(1e+2)), post
>>> noheader } } }
>>>
>>> * Uncompensated price elasticity
>>> nlcom (elx`i': _b[elx`i'])   (elu`i'_`j': _b[my`i'_`j']/ w`i'mean - ${delta}), post noheader
>>> * Compensated price elasticity
>>> nlcom (elc`i'_`j': _b[elu`i'_`j'] + _b[elx`i']* w`j'mean), noheader
>>> qui est restore quaidsc
>>>
>>> }
>>> end
>>>
>>> The problem seems to be in the "capture nlcom (elx`i': ${my`i'}/ w`i'mean + 1) ."-line (not sure), because Stata gives me the result:
>>>
>>> . do ""
>>>
>>> . nlcom (elx`i': ${my`i'}/ w`i'mean + 1) (my`i'_`j':  ${my`i'_`j'}),
>>> post noheader /wmean invalid name r(198);
>>>
>>> end of do-file
>>>
>>> r(198);
>>>
>>> I don't know, why it does not use the means of w1 to w4 (w1mean to w4mean) (w=budget share).
>>>
>>> It would be also interesting for me to know if there is another possibility to write the code for the calculation of "elx`i'".
>>>
>>> Thanks a lot,
>>> Franziska
>>>
>>>
>>> Franziska Götze, M. Sc.
>>> Doktorandin
>>>
>>> Eidgenössisches Departement für
>>> Wirtschaft, Bildung und Forschung WBF
>>> Forschungsanstalt Agroscope Reckenholz-Tänikon ART Sozioökonomie
>>>
>>> Tänikon, CH-8356 Ettenhausen
>>> Tel. +41 52 36 83225
>>> Fax +41 52 36 51190
>>> [email protected]
>>> www.agroscope.ch
>>>
>>>
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