Measurement error in recall surveys and the
relationship between household size and food demand.
by Gibson, John^Kim, Bonggeun
has earthen floor
Average floor area of dwelling 42.3 41.0 0.63
of the household who are male 47.2 47.6 0.70
of the households whose head 70.8 73.2 1.19
is literate
Sample size 3,000 3,000
(a) Corrected for cluster structure of the samples.
(b) The exchange rate in Round 1 was Ra.780 per US$, and in Round 2
R3,840 per US$.
** = significant at 1% level.
Table 4. Comparison of Proxies for Interviewer Performance in the Two
Rounds of the 1999 Cambodia Socio-Economic Survey
Round 1 Round 2
of re-interviews due to 40.0% 28.0%
incomplete, incorrect or
doubtful entries
Average % of households 48.1% 42.8%
recording zero purchases
of foods
Average % of households 69.8% 57.8%
recording zero
own-produce/gifts of
foods
Source: Author's calculations.
Table 5. Regression Estimates of Food Demand Models with Explanatory
Variables Interacted with Indicators of Survey Recall Type, SUSENAS
Urban Java
Equation (8)
Wage Income > 0
OLS OLS IV (a)
Engel curve coefficient estimates
ln(x/fz)([??]) -0.1332 ** -0.1308 ** -0.1322 **
(0.0029) (0.0033) (0.0056)
[ln(x/n)] x D ... ... ...
ln n([??]) -0.0625 ** -0.0667 ** -0.0672 **
(0.0029) (0.0037) (0.0042)
[ln n] x D 0.0158 ** 0.0120 ** 0.0122 **
(0.0031) (0.0041) (0.0042)
[R.sup.2] 0.379 0.388 0.388
Sample size 32,037 19,594 19,594
Elasticity of per capita food expenditure w.r.t household size
[partial derivative]ln([g.sub.f]/n)/ [partial derivative]ln n =
[gamma]/[[bar.w].sub.f]
Short questionnaire -0.1045 ** -0.1119 ** -0.1127 **
(0.0048) (0.0063) (0.0070)
Long questionnaire -0.0835 ** -0.0977 ** -0.0983 **
(0.0049) (0.0059) (0.0062)
[H.sub.0]: equal F = 15.24 ** F = 4.01 * F = 4.02 *
elasticities
Engel estimate of household scale economies: [delta] = [gamma]/[beta]
Short questionnaire 0.469 ** 0.510 ** 0.508 **
(0.018) (0.026) (0.026)
Long questionnaire 0.350 ** 0.418 ** 0.416 **
(0.018) (0.023) (0.024)
[H.sub.0] [[sigma].sub. F = 26.05 ** F = 8.57 ** F = 8.74 **
short] = [[sigma].
sub.long]
Equation (9)
Wage Income > 0
OLS OLS IV (a)
Engel curve coefficient estimates
ln(x/fz)([??]) -0.1290 ** -0.1259 ** -0.1355 **
(0.0041) (0.0046) (0.0083)
[ln(x/n)] x D -0.0092*** -0.0104*** 0.0081
(0.0052) (0.0060) (0.0107)
ln n([??]) -0.0609 ** -0.0652 ** -0.0689 **
(0.0034) (0.0042) (0.0052)
[ln n] x D 0.0131 ** 0.0100 *** 0.0156 *
(0.0044) (0.0055) (0.0064)
[R.sup.2] 0.382 0.390 0.389
Sample size 32,037 19,594 19,594
Elasticity of per capita food expenditure w.r.t household size
[partial derivative]ln([g.sub.f]/n)/[partial derivative]ln n =
[gamma]/[[bar.w].sub.f]
Short questionnaire -0.1018 ** -0.1093 ** -0.1155 **
(0.0056) (0.0071) (0.0088)
Long questionnaire -0.0855 ** -0.0986 ** -0.0952 **
(0.0053) (0.0065) (0.0067)
[H.sub.0]: equal F = 4.68 * F = 1.28 F = 3.46 ***
elasticities
Engel estimate of household scale economies: [delta] = [gamma]/[beta]
Short questionnaire 0.472 ** 0.518 ** 0.508 **
(0.020) (0.029) (0.027)
Long questionnaire 0.346 ** 0.405 ** 0.418 **
(0.019) (0.024) (0.027)
[H.sub.0] [[sigma].sub. F = 22.21 ** F = 8.98 ** F = 5.44 *
short] = [[sigma].
sub.long]
Note: Standard error estimates and hypothesis tests correct for
cluster structure of the samples.
Standard errors in (); ** = significant at 1% level, * = significant
at 5% level, *** = significant at 10% level.
The degrees of freedom for the F-tests are I and 1.431.
All regressions contain the logarithm of per capita total expenditure,
the logarithm of household size- the ratios to household size of the
number of males and females in the 11-4, 5-9, 10-14, 15-29, 3054, and
(males only) 55+ age groups, the fraction of adults whose main
occupation is agricultural self-employment, agricultural employment
and non-agricultural work, a dummy variable for farm households. and
dummy variables for province.
(a) The log of per capita wage and salary income is used as the
instrument. The partial [R.sup.2] for the instrument in the first
stage regression is 0.175 and the F-test for excluding the instrument
is 4,154.
Table 6. Regression Estimates of Food Demand Models with Explanatory
Variables Interacted with Indicators for Survey Round, CSES Cambodia
Equation (8)
OLS IV (a)
Engel curve coefficient estimates
ln(x/n)(R) -0.1162 ** -0.1523 **
-0.0069 -0.0094
[ln(x/n)] x D ... ...
-0.0153
ln n([??]) -0.0434 ** -0.0566 **
-0.0082 -0.0088
[ln n] x D 0.0386 ** 0.0447 **
-0.0085 -0.0088
[R.sup.2] 0.418 0.405
Sample size 6,000 5,997
Elasticity of per capita food expenditure w.r.t
household size [partial derivative]ln([q.sub.f]/n)/
[partial derivative]ln n = [gamma]/[[bar.w].sub.f]
Round 1 (less probing) -0.0657 ** -0.0858 **
-0.0125 -0.0134
Round 2 (more probing) -0.0072 -0.0178
-0.0123 -0.0125
[H.sub.0]: equal F = 20.88 ** F = 26.72 **
elasticities
Engel estimate of household scale economies:
[sigma] = [gamma]/[beta]
Round 1 (less probing) 0.373 ** 0.372 **
-0.067 -0.052
Round 2 (more probing) 0.041 0.079
-0.071 -0.054
[H.sub.0]: [[sigma]. F =19.43 ** F = 26.64 **
sub.Round1] = [[sigma].
sub.Round2]
Equation (9)
OLS IV (a)
Engel curve coefficient estimates
ln(x/n)(R) -0.1020 ** -0.1630 **
-0.0082 -0.0117
[ln(x/n)] x D -0.0519 ** 0.0180
-0.0195
ln n([??]) -0.0409 ** -0.0607 **
-0.0102 -0.0112
[ln n] x D 0.0308 * 0.0527 **
-0.0141 -0.0148
[R.sup.2] 0.431 0.407
Sample size 6,000 5,997
Elasticity of per capita food expenditure w.r.t
household size [partial derivative]ln([q.sub.f]/n)/
[partial derivative]ln n = [gamma]/[[bar.w].sub.f]
Round 1 (less probing) -0.0620 ** -0.0920 **
-0.0155 -0.0169
Round 2 (more probing) -0.0151 -0.0119
-0.0144 -0.0144
[H.sub.0]: equal F = 4.91 * F = 12.99 **
elasticities
Engel estimate of household scale economies:
[sigma] = [gamma]/[beta]
Round 1 (less probing) 0.401 ** 0.373 **
-0.095 -0.061
Round 2 (more probing) 0.066 0.055
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