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


From   <[email protected]>
To   <[email protected]>
Subject   AW: st: Code-problem - calculating demand elasticities with a QUAIDS
Date   Wed, 4 Dec 2013 09:12:45 +0000

Dear Nick

Thanks for your help. The macro for "i" is indeed missing in my do-File, but I haven't figured out how to create such a macro. "i" should have values 1, 2, 3, 4 and so on. 
I tried it like this:

local product 1 2 3 4

	and later wanted to refer to "product" (= i = k)

foreach k in `product' {

gen w`k' = x`k' /x14 

replace w`k' = 0 if w`k'==. 

}

Unfortunately it did not work. What did I do wrong?

Thanks, Franziska

-----Ursprüngliche Nachricht-----
Von: [email protected] [mailto:[email protected]] Im Auftrag von Nick Cox
Gesendet: Freitag, 22. November 2013 15:01
An: [email protected]
Betreff: Re: st: Code-problem - calculating demand elasticities with a QUAIDS

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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