Strategic Donations: Women and Museums in New Brunswick, 1862-1930
Do low compulsory education levels in Uganda inhibit charitable donations? Dictator game study based...
Transcript of Do low compulsory education levels in Uganda inhibit charitable donations? Dictator game study based...
Do low compulsory education levels in Uganda
inhibit charitable donations?
Dictator game study based on Ugandan
questionnaires
Greig Donaldson
H00117898
Econometrics Project
Catherine Porter
Introduction
With overall donations to charity decreasing by 20% (Charities Aid
Foundation,2013) there is an interest for investigating the
underlying behaviour that motivates charitable donations. Many
factors are argued to explain this drop, including legislation and
the poor state of the economy. Demographics are a contributing
factor; this is the focal point of this study on charitable
donations within Uganda. Uganda’s World Giving Index ranking 48
(Charities Aid Foundation,2013) and economically worse off Malawi’s
ranking of 43 raises the question does Uganda’s poorer compulsory
education levels contribute to its lower charitable donations.
(WorldBankData,2011). The compulsory 7 years of education within
Uganda, with only a 27.6% enrolment rate in secondary education
compared to 34.2% in Malawi allows the extension of Pharoah and
Turner’s (1997) positive relationship between higher levels of
education and levels of charitable donations to our model. This
allows the justification of resources by charitable foundations to
enable a higher enrolment rate knowing their actions will be
rewarded socially but also financially thus allowing the
continuation of their actions. The study will be done through the
use of a dictator game with the dictator allocating a portion of the
20000 Ugandan Shillings they are given by the research team.
Literature Review
There has been much research investigating the determinants of
altruistic behaviour first coined by Comte (1852), with findings of
a combination of social, economic and demographic factors being
significant. Kitchin (1992) and Bakija and Heim (2011) found that
income levels influence the amount donated, with individuals with
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higher incomes giving higher levels of donations. Bakija and Heim’s
(2011) argue falling donations are due to changes in taxes regarding
charitable donations Auten et al (2002) and Kitchin (1992) view of
lower after tax cost of donating encourages a higher level of
donations support this. Demographics is seen to be a contributing
factor with Carpenter et al (2008) finding more highly educated
students donate more. This can be extended outside the student
environment with Gittell and Tebaldi’s (2006) findings that
individuals with graduate degrees donate at a higher level. Further
demographic studies such as Eckel and Grossman (1998) conclude that
gender plays a role with females giving more than their male
counterparts this is supported by Carpenter et al (2008). While age
has shown to be significant with increases in donation levels until
plateauing at middle age and decreasing in old age (Carpenter at al,
2008). Henrich and Boyd (2005) extend the demographic argument
finding that less developed and more indigenous countries tend to
give more than western counterparts.
Daniel Kahneman was the first to use dictator games to describe
behaviour, finding that normal economic behaviour of maximising ones
income (utility) did not hold up under his investigation. This
school was furthered by Leider et al (2009) who found that social
distance has explanatory power, the closer the dictator is to the
recipient the more likely the dictator will give more. Carpenter et
al (2008) added to this, finding that the change from a standard
anonymous recipient to that of a ‘deserving recipient’ led to higher
amounts of donations (Epps and Singleton, 1986 and Goerg and Kaiser,
2009). This research will further this question taking into account
Carpenter’s (2008) deserving recipient argument whilst using Engel
(2011) multiple regression findings to test the extent to which
Carpenter’s (2008) and Gittel and Tebaldi’s (2006) findings of
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higher education levels lead to higher level of charitable donations
are true within the context of Uganda.
Underlying Theory
Early neoclassical economic theory highlighted the concept of
rational behaviour, that an individual given a set of choices will
choose the set which maximises their utility or welfare. In the
context of this study the dictator should maximise their income by
donating nothing to charity and keeping the 20000 UGX. The concept
of game theory must be highlighted before we can carry out our
study, building on how rational individuals interact with another
agent and how scarce economic resources are allocated. (Montet and
Serra, 2003) Building on Aumann (1989) ‘sidea that enforcement can
be built into non-cooperative games where all situations relating to
the game must be modelled into the game. Within the context of this
study we look at economic games that have imperfect information as
the dictator does not know exactly what happened last time they made
a move in the game. We build on the neoclassical idea of rational
behaviour studying players who behave in a consistent manner, with
cognitive rationality showing consistency between the individual’s
actions and beliefs supplementing with instrumental rationality
where an individual shows consistency between opportunities and
fixed preferences (Montet and Serra, 2003). We build upon Schelling
(1960) (cited in Montet and Serra, 2003) idea of a ‘focal-point’
where decisions within games are made upon not just on consequences
but also culture of the dictator moving away from the traditional
idea of consequential equilibrium that rational choice theory
stipulates. Thus we extend our study to include not only
traditional economic theories but also the emerging fields or
behavioural and experimental economics. The study will look to use 4
Kahneman’s thoughts of ‘how consumers arrive at decisions that
appear to be irrational’ in donating money to charity rather than
maximising their payoff as game theory and utility maximisation
advocates they should do.
MAYBE SOMETHING AS TO EACH VARIABLE IE INCOME MAXIMISATION
UTLITY MAXIMISATION GRAPHS ETC
Unemployment as economic variable
The Data
The underlying sample contains 149 observations obtained from
research questionnaires within Kampala, Uganda. It was obtained at
random from a population at three separate locations to capture a
true representation of that population including a range of
occupations, qualifications and personal beliefs. We would expect
questionnaires to contain some element of measurement error through
the presence of non-response bias and poor design (Source).
The data was cleaned using an excel document, by transforming any
blank observations to N/A, this allowing it to be used within Eviews
to interpret the outputs of the data.
The central tendencies we see in Figure 1 (see Appendix) show a wide
range in the value of charitable donations by individuals. Totgive
exhibits a is a wide range of variation with a minimum of 0 USX
given to charity up to 40000 USX, double the 20000USX distributed by
the research team, given away by an individual. The mean of 9778 USX
and the standard deviation of 9359 USX shows the broad range when it
comes to values of charitable donations made by individuals.
A variance in the levels of qualification achieved by individuals
within the sample is seen. The mean of 5.109 showing on average
individuals achieve an undergraduate degree, whilst our minimum of
5
2(see attached questionnaire) relates to completion of primary
school education which is compulsory within Uganda and a maximum of
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Further exploration of the data shows that through the use of dummy
variables to measure level of qualifications a distinct variation
can be seen within the sample. The average of 33.56% of participants
completed secondary school/diploma while 65.75% of individuals
completed an undergraduate or higher degree, the remaining 0.69%
completing only the compulsory basic education. (Figure 1)
We can see little variation within the age of the participants. With
a mean of 32.14, minimum of 20.00 and maximum of 63.00 we can see
that there is a narrow range within our data. We have a random
sample with a mix of males (0.5342) and females (0.4658) within our
study. (Figure 1)
From this data we can see there is a wide variation in the levels of
qualifications gained which we would expect from a random sample,
the variation in levels of qualifications and totgive allows us t
investigate reasons behind this.
Econometric Model
Consistent with the underlying economic theory the relationship
between an individual’s level of education relations and the level
of charitable donations within Uganda can be set out as the
following theoretical equation.
TOTGIVE = β₀ + β₁(SECONDARYEDUC) + β₂( ADVANCEDEDUC)
(1)
+ β₃(STUDENT) + β₄( CIVILSERVANT)
(2)
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+ β₅(MALE) + β₆(UGANDAN) + β₇(DP)
(3)
+ β₈(SECONDARYDP) + β₉( ADVANCEDEDUCDP) + β₁₀(CIVILSERVANTDP) + β₁₁(
STUDENTDP) (4)
See table 1 (appendix) for variable description.
Section 1 contains two dummy variables measuring the relationship
between total donation and an individual’s level of qualification
and as proxy education. We expect to see a positive coefficient to
indicate as education levels increase total donations increase. As
a base we use basic education level. The creation of the dummy terms
allows for a more precise measurement of effect of changes of
qualification levels than using a scale as different levels may not
yield the same increase.
Section 2 contains two dummy variables measuring the relationship
between total donation and an individual’s sector of work and by
proxy their income. As a base we use working in the private sector.
We expect to see a negative coefficient here as it is expected those
out with the private sector earn less and students earn less than
civil servants. The creation of the dummy terms allows for an
identification and comparison of different working sectors.
Section 3 contains three dummy variables measures the relationship
between total donation and the demographics of that individual. In
line with current literature we expect to see a negative coefficient
regarding males, a positive coefficient for Ugandan. We also expect
a positive coefficient for when an individual believe the poor are
deserving (see table 1 for explanation). The creation of dummies
allows for a comparison at a simple level involving these factors.
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The final section of the model contains four dummy interaction terms
measuring the relationship between total donations and qualification
levels of those whom believe the poor are deserving. We would expect
a positive coefficient as qualification levels increase those whom
identify with the poor should donate more. We also measure the
relationship between sectors of work whom believe the poor are
deserving and total donations. We look to examine whether
identification with the poor will outweigh which sector of work and
thus give a positive coefficient
Within our model we do not control for age, as discussed earlier age
can be significant to levels of charitable donations (Carpenter et
al 2008), however within this data we have little variance in age
(figure 1), with almost all of our participants being in the highest
giving section of ‘middle age’ or students which has been controlled
for through the use of a dummy variable therefore we have omitted
age from our model.
Estimation methods and Estimated Results
Ordinary Least squares is used to study the relationship between
education beyond the compulsary level and levels of charitable
donation allowing our model to be fitted to the observed data set.
Before running our regression and testing for biasedness/consistency
and efficiency, it is important to point out that models used in
econometric analysis are based on economic intuition and not
statistical significance. Although a variable may be statistically
insignificant, it may stay within the model as it intuitively makes
sense.
The first regression run;
TOTGIVE c QUAL EMPLOYED UGANDAN MALE DP FOREIGNAID
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We use the level of qualifications (QUAL) as a proxy for education
levels, with a higher level of qualification being comparative to
higher education levels. We expect that higher qualification levels
should result in higher levels donated.
H0: Qual is statistically significant postive
H1: H0 is not true
(Figure 2) for for OLS outputs
We observe that with all other variables taking the form of zero an
individual will donate 5131 USX to charity within this game. We fail
to reject H0 that Qual is statistically significant postive as it
showns significance at 5% level (p-value .026). As expected qual
has a positive impact as qualifiation levels increase we see an
increase in amount donated ceteris paribus an increase of 1090.09
USX for every extra level of qualifications this seems economically
significant as we would expect higher qualification levels to lead
to individuals with higher incomes . Being employed, by proxy having
an income, has a negative impact on charitable donations, this is
counter intuitive economically as we expect those employed to have a
higher income and therefore demonstrate higher levels of donations.
Being more indigenous seems to have a negative impact this goes
against (source) view of indigenous givers giving more. Our low
adjusted r-squared (0.09) and therefore a low amount of explanation
of the variation in the model, the economically counter intuitive
negative co-efficent of being employed and the simplistic assumption
that for every 1 unit increase in qualification level there is the
same ceteris paribus increase in amount donated leads us to conclude
our model is incorrectly specified. Our use of proxies for education
levels (qual) and income (employed) that our proxies are correlated
with our error term in some way, or that our proxy is not a ‘good’
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therefore the effect of qual is still correlated with being
employed.
We therefore look to create dummies to allow a better explanation of
qualification levels and employment sectors. The creation of
secondaryeduc relates to acquiring secondary school
qualification/diploma and advancededuc shows those acheieving
qualifications of a undergraduate or higher level with a benchmark
of basiceduc (completeing the compulsary eduaction). The student and
civilservant dummies allow the idetification of sector of work thus
expanding the previous explanatory power of employed comapred to a
benchmark of working for a private firm.
We run the following regression:
TOTGIVE c SECONDARYEDUC ADVANCEDEDUC STUDENT CIVILSERVANT MALE
UGANDAN DP
H0: Secondaryeduc, Advancededuc are statistically significant
postive
H1: H0 is not true
Figure 3 for OLS outputs
The changes in our model have allowed higher explanatory power with
an increased adjusted r-quared of 0.29 thus a higher variation in
the model is explained. All other variables taking the form of zero
an individual will donate 10129 USX to charity within this game. We
failto reject H0 that Secondaryeduc, Advancededuc are statistically
significant postive but do note that qualifications and therefore
education levels past the compulsary level only become significant
once they reach a more advanced stage. However we see that
economially secondaryeduc is still significant as obtaining a
secondary level of qualification leads to an increase in donation
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levels (p-values 0.2050, 0.0001). At advanced levels of
qualifications the effcet becomes statistically significant (p-
value 0.0001) this fall in line with economic reasoning that those
with higher levels of education, have more knowledge of the world
and have higher incomes, therefore should demonstrate higher
donation levels. This can be seen through the existence of
disposable income those with higher qualification levels and by
proxy eduaction levels, will exhibit higher levels of disposable
income therefore the disutility of donating money will be less than
those on lower levels of qualifications and by proxy income. We
observe that the use of dummy variables section of employment has
now became statistically significant Student (p-value, 0.0003) and
civil servant (0.000) at a 5% level. Ceteris paribus a reducation of
8047.61 of USX donated if the individual is a student, this is line
with Carpenter’s (2008) analysis and can be seen economically as
students exhibit lower levels of disposable income, therefore the
disutilty of donating is higher compared to those working within a
private firm(our benchmark). However the ceteris paribus decrease of
9917.20 if an individual is a civil servant is not in line with any
literature and requires more analysis as the results show that
ceteris paribus civil servants donate less than students. The
disposable income argument here is broken as students shuld have a
lower disposable income than civil servants and the disutility they
experience through donating and not maximising their income should
be higher than civil servants experience.
With higher qualification levels only becoming significant once more
advanced and our model satisfying MLR 1-5 we take into consideration
Montet and Serra’s (2003) view that modelling level of charitable
donations must incorporate ones customs and beliefs. We do this by
including a dummy variable for whether people feel the poor are poor
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through no fault of their own, therefore they are deserving poor.
(DP) We then interact this variable with our dummies for level of
qualification and sector of work to allow the identifiaction of
personal beliefs showing dominance over eduaction levels therefore
by proxy income levels.
We run the regression:
TOTGIVE c SECONDARYEDUC ADVANCEDEDUC SECONDARYDP ADVANCEDEDUCDP
STUDENT CIVILSERVANT MALE UGANDAN DP STUDENTDP CIVILSERVANTDP
H0: Secondarydp, Advanceddp are statistically significant postive
H1: H0 is not true
(Figure 4 for OLS outputs)
The changes in our mode allow higher explanatory power with an
increased adjusted r-squared of 0.32 thus a higher variation in the
model is explained. All other variables taking the form of zero an
individual will donate 15047 USX to charity within this game. We
fail to reject H0 that Secondarydp, Advanceddp are statistically
significantly postive as the interaction of secondary level
qualifications and deserving poor (secondarydp) is now significant
at a 1% level which is valid within our small sample. This
interaction term allows us to distinguish those whom have secondary
levels of qualifications whilst also feeling the poor are deserving.
This identification allows us to examine that personal believes
affect our level of donations and study what effect it has at
different levels of qualifications. Ceteris paribus obtaining
qualifications at a seconary level and feeling the poor are
deserving causes a 7265.062 increase in USX donated suggesting that
maximising their income is not their main goal, but that they aim to
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maximise their utility and the utility they gain from donating money
is more than the utility they lose by not maximising their income.
Our hypothesis that higher qualification levels whilst believing the
poor are deserving is supported as the effect of obtaining advanced
qualifications and feeling poor are deserving ceteris paribus causes
a 13874.77 increase in USX donated at a 5% significance level (p-
value 0.0032). This is in line with economic theory that those with
higher qualifications, have a higher income, higher disposable
income and the disutility they experience from donating is less,
however it shows that the utility they achieve by donating (due to
their personal belief) causes them to increase the overall utility
they experience. We observe sector of work is statistically
significant factor at 5% level; student (p-value, 0.0313) or civil
servant (p-value, 0.0096) reducing the amount one donates to
charity. Economically we see that there is still a contradiction
with civil servants donating 1588.99 USX less than students. We see
that the sector one works in and feeling the poor are deserving has
a positive effect on monies donated however this effect is not
statistically significant at any level (p-valles, 0.8174, 0.8002).
Given the high-pvalues of SECONDARYEDUC, ADVANCEDEDUC,
CIVILSERVANTDP, STUDENTDP conduct an F-test to verify that these
variables are jointly significant and have no explanatory power and
can be omitted. Given our F-statistic (Figure 5 and 6) and high p-values we fail to reject H0 that B1,B2,B10,B11 are jointly insignificant and hence exclude
these variables from our model.
We re-run our regression with the remaining variables:
TOTGIVE c SECONDARYDP ADVANCEDEDUCDP STUDENT CIVILSERVANT MALE UGANDAN DP
H0: SECONARYDP ADVANCEDEDUCDP is statistically significantly positive
H1: H0 is not true
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(Figure 7 for OLS outputs)
MLR 1-3 are given as all our parameters are linear in nature,
although our sample size is small, we assume that it was correctly
drawn from the population as a random sample and therefore can be
used as a representation of the population for our estimation. By
looking at our independent variables, we conclude that none of the
parameters are perfectly linear correlated because none of the
variables are a constant multiple of another. We also note that our
model is correctly specified shown by a Ramsay Rest Test (Figure 8)
(p-value 0.8696 >0.05) and that we demonstate heteroskedasticity
shown by a White test. (0.067>0.05)(Figure 9)
We note that all other variables taking the form of zero an
individual will donate 12064.51 USX to charity within this game.
Falling in line with the economic theory that not all individuals
within a dictator game will keep their full endowment. We fail to
reject our H0 as obtaining qualifications to a secodary level (past
complusary) and believing the poor are deserving (secondarydp)
increases the amount donated by 4003.592 USX within the game at a 5%
signifiance level (p-value, 0.0453). Our h0 is supported by
acquiring advanced levels of qualifications and believing the poor
are deserving (advancededucdp) increases amount donated by 10642.40
USX significant at a 5% significance level (p-value 0.000). These
conclusions support the economic theory of gaining utility from the
act of donating due to ones believes can outweigh the disutility
experienced from non income maximising actions. Being a student
decreases the amount donated by 8065.378 at a 5% significance level
(p-value, 0.002) and that working as a civil servant decreases the
amount donated by 10106.32 USX at a 5% significance level (p-value,
0.000). Being Ugandan and therefore more indigenous to the charity
is signifacant at a 10% level (p-value, 0.0746) ceteris paribus
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causing an increase of 3551.350 USX in amount donated this is line
with Henrich and Boyd’s (2005) findings. We see that in our model
males donate ceteris paribus 5.028 USX more than females going
against the existng literature. However due to the high p-value
(0.9973) we feel this is not a significant factor within our model.
This may be down to the small sample size problems or evidence that
most males in Uganada control cash flow. Further we must note that
believing the poor are desrving (DP) has a negative effect on amount
donated, this may be expained as those whom have a basic
(compulsary) education may agree with this view but due to their loq
qualifiactions donate less as other factors such as sector of work
and by proxy income levels have more of an effect.
Limitations
The results we have found must be taken into consideration within
the limitations of the study. Although the small sample size (149
observations) has allowed quick results there are doubts about the
reliability and precision of our estimates due to the nature that
this sample may not be representative of the distribution of the
population. A higher standard error is found within small samples
compared to larger samples, leading to much wider confidence
intervals and less precise estimates. Small sample size studies can
produce false-positive results, over-estimating the magnitude of an
association, such as may be the case between deserving poor and
level of education within this study. We therefore find it difficult
to extend and generalize conclusions found here to the larger
external population and must instead allow the conclusions found
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here to be a framework for which larger sample size studies can be
designed around.
Further limitations with our results arise from the data collection
method used within our study. We make several assumptions when
believing that data gathered from a sample of students, coffee
drinkers and civil servants will be a true indicator of behaviour in
other populations limiting our assumption of a random sample.
Further to this the use of questionnaires relates to the presence of
measurement error as “questionnaire quality is a keystone since it
affects quality of data” (). The non- response to some questions
with almost 7% of participants failing to answer certain questions
on the back of the questionnaire give thoughts to non-response bias
which raises fears of measurement errors within the collected sample
thus questioning whether we break MLR 4 that we have a zero
conditional mean. Questionnaire design gives rise to the problems
with measurement error; the use of subjective questions causes
problems in that respondents may not agree on the scale given and
this may explain the high non-response within these categories. In
addition to this Hoffman’s experimenter effect has to be addressed
although this data was collected in anonymous manner there is a risk
that the presence of three white educated women may have led to
distorted levels of donations due to Ugandan’s feeling pressure to
donate. In future studies there should be the exploration of
ensuring non-response rates are lower by using better designed
questionnaires and reduce the risk of experimenter effect by using
individuals whom are representative of the population being
examined.
The most prevalent limitation of this study is the absence of a
variable explaining reported income, the use of dummies for student,
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private firm and civil servant as a proxy goes some way towards
tackling this issue. These dummies do not account for the variance
of income within each sector and results show the most significant
effect on donations seems to be sector of work which is highly
correlated with levels of income. At highly statistically
significant advanced academic levels there is a strong correlation
between higher qualifications and higher income. The use of proxy
variables must be viewed with knowledge if the bias it may have
created. Strong relationship between income and charitable donations
has already been proven by Kitchin (1992) and Bakija and Heim(2011)
which this study agrees with. To truly analyse the effect of
education levels out with the compulsory in Uganda there is a need
to incorporate reported income in to the model, allowing a much
better representation of the problem.
Summary Findings
Our analysis shows increased qualification levels and as proxy
education levels beyond the compulsory level within Uganda alone do
not significantly explain the variation within levels of charitable
donations in a dictator game. It is concluded in a correctly
specified and unbiased model that for qualification level
differences to be significant there is the need of the presence of
some personal belief that the poor are deserving. Once these two
conditions are met we view a progressive increase in amount donated
shown as qualification levels increase. This is particularly true
for those with advanced qualifications and by proxy education with a
statistically significant effect at a 0.01 level. This suggests
that an understanding of the benefits of charitable donations can
only be understood once at a more advanced level and may in some way
be explained by those with higher levels of qualification more
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likely to have a higher income. However it must be noted that
education levels may not be the main driving factor behind donation
levels, shown by the high statistical and economic significance of
what sector a donor works within. We see that being a civil servant
will cause you to donate less than if one is a student, refuting
Carpernter’s (2008) theory. The fact that higher qualification
levels can be correlated with a higher paying job and therefore
higher income must be noted. There is the need for further studies
in this area incorporating income levels instead of using proxies to
allow a better understanding of the problem.
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Appendix
Figure 1
TOTGIVE BASICEDSECONDARYE
DADVANCEDE
D AGE QUAL MALEFEMAL
E
Mean9842.466
0 0.0068 0.3356 0.657532.1438
5.1096
0.5342
0.4658
Median8000.000
0 0.0000 0.0000 1.000030.0000
5.0000
1.0000
0.0000
Maximum
40000.0000 1.0000 1.0000 1.0000
63.0000
10.0000
1.0000
1.0000
Minimum 0.0000 0.0000 0.0000 0.0000
20.0000
2.0000
0.0000
0.0000
Footnote
variables included but not reported for lack of space; ADVANCEDEDUCDP,CIVILSERVANTCIVILSERVANTDP SECONDARYDP STUDENT SECT EMPLOYED DP FOREIGNAID ADVANCEDEDUCDPSTUDENTDP UGANDAN
Table 1
TOTGIVE Total donation in Ugandan Shillings (USX)
Qual Qualification: measured on scale with 1 being no qualifications
EMPLOYED Dummy variable taking form of 1 if employed 0 if not
FOREIGNAID Dummy variable taking form of 1 if belive forgein aid is good forUganda 0 if not
MALE Dummy variable taking form of 1 if male 0 if not
UGANDAN Dummy variable taking form of 1 if Ugandan 0 if not
DP Dummy variable taking form of 1 if belive that people are poor through no fault of their own,
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therefore there exists deserving poor 0 if not
SECONDARYEDUC Dummy variable taking form of 1 if have qualification of completed secondary school or diploma 0 if not
ADVANCEDEDUC Dummy variable taking form of 1 if have undergraduate degree or above 0 if not
STUDENT Dummy variable taking form of 1 if primary sector of work is student 0 if not
CIVILSERVANT Dummy variable taking form of 1 if primary sector of work is civil servant 0 if not
SECONDARYDP Interaction dummy term taking form of 1 if have qualifiaction levels of secondary school or diploma and believe poor are deserving
ADVANCEDEDUCDP Interaction dummy term taking form of 1 if havequalifiaction levels of undergrauate or above and believe poor are deserving
CIVILSERVANTDP Interaction dummy term taking form of 1 if primary sector of work is civil servant and believepoor are deserving
STUDENTDP Interaction dummy term taking form of 1 if 1 if primary sector of work is stuent and believe poor are deserving
Figure 2
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Dependent Variable: TOTGIVEMethod: Least SquaresDate: 03/25/14 Time: 15:20Sample: 1 149Included observations: 129
VariableCoefficien
t Std. Errort-Statistic Prob.
QUAL 1090.092 484.1474 2.251570 0.0261EMPLOYED -2127.975 1865.981 -1.140405 0.2564UGANDAN -3134.195 1969.170 -1.591632 0.1141MALE 1296.043 1691.917 0.766020 0.4451DP 1803.983 1964.282 0.918393 0.3602
FOREIGNAID 1197.065 2252.093 0.531534 0.5960C 5131.300 4186.240 1.225754 0.2227
R-squared 0.141446 Mean dependent var 10356.59Adjusted R-squared 0.099222 S.D. dependent var 9692.780
S.E. of regression 9199.350 Akaike info criterion 21.14439
Sum squared resid 1.03E+10 Schwarz criterion 21.29957
Log likelihood -1356.813 Hannan-Quinn criter. 21.20744
F-statistic 3.349905 Durbin-Watson stat 1.701593Prob(F-statistic) 0.004327
Figure 3
Dependent Variable: TOTGIVEMethod: Least SquaresDate: 03/25/14 Time: 16:36Sample: 1 149Included observations: 131
VariableCoefficien
t Std. Errort-Statistic Prob.
SECONDARYEDUC 2215.861 1739.018 1.274202 0.2050ADVANCEDEDUC 7736.450 1958.317 3.950561 0.0001
STUDENT -8047.610 2147.604 -3.747250 0.0003CIVILSERVANT -9917.204 2199.596 -4.508648 0.0000
MALE -17.65200 1527.318 -0.011558 0.9908UGANDAN 2939.962 2018.990 1.456155 0.1479
DP 1455.698 1744.455 0.834471 0.4056C 10129.35 2763.919 3.664852 0.0004
R-squared 0.323789 Mean dependent var 10412.21Adjusted R-squared 0.285305 S.D. dependent var 9657.098
S.E. of regression 8164.073 Akaike info criterion 20.91200
Sum squared resid 8.20E+09 Schwarz criterion 21.08758
Log likelihood -1361.736 Hannan-Quinn criter. 20.98335
F-statistic 8.413695 Durbin-Watson stat 2.137997
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Prob(F-statistic) 0.000000
Figure 4
Dependent Variable: TOTGIVEMethod: Least SquaresDate: 03/25/14 Time: 12:04Sample: 1 149Included observations: 131
VariableCoefficie
nt Std. Errort-Statistic Prob.
C 15047.95 3913.972 3.844676 0.0002SECONDARYEDUC -3308.546 3469.735 -0.953544 0.3422SECONDARYDP 7265.062 4040.970 1.797851 0.0747ADVANCEDEDUC -3256.511 4073.960 -0.799348 0.4257ADVANCEDEDUCDP 13874.77 4604.600 3.013241 0.0032
STUDENT -8994.860 4126.777 -2.179633 0.0313CIVILSERVANT -10583.85 4004.277 -2.643136 0.0093
MALE -239.8190 1528.229 -0.156926 0.8756UGANDAN 3322.600 2017.107 1.647210 0.1022
DP -4968.532 3732.556 -1.331134 0.1857CIVILSERVANTDP 1116.606 4402.460 0.253632 0.8002
STUDENTDP 1050.937 4540.915 0.231437 0.8174
R-squared 0.377136 Mean dependent var 10412.21Adjusted R-squared 0.319560 S.D. dependent var 9657.098
S.E. of regression 7966.024 Akaike info criterion 20.89089
Sum squared resid 7.55E+09 Schwarz criterion 21.15427
Log likelihood -1356.353 Hannan-Quinn criter. 20.99791
F-statistic 6.550256 Durbin-Watson stat 2.036688Prob(F-statistic) 0.000000
Figure 5
H0: B1 = B2 = B10 =B11 = 0
H1: At least 1 or both are different from zero.
Wald Test:Equation: Untitled
Test Statistic Value dfProbabilit
y
F-statistic 0.355820 (4, 119) 0.8395Chi-square 1.423279 4 0.8401
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As F-stat follows an F Distribution of F(4,119) our critical value for 5% significance level is 2.4472. Since 0.356< 2.4472, we therefore fail to reject our null hypothesis hence the B1, B2, B10, B11 do not have a jointly significant impact on total donations.
Figure 6
H0 = B1=B2=B10=B11=0
H1=H0 is not true
Redundant Variables: SECONDARYEDUC ADVANCEDEDUC CIVILSERVANTDP STUDENTDP
F-statistic 0.355820 Prob. F(4,119) 0.8395Log likelihood ratio 1.557507
Prob. Chi-Square(4) 0.8164
Figure 7
Dependent Variable: TOTGIVEMethod: Least SquaresDate: 03/25/14 Time: 17:19Sample: 1 149Included observations: 131
VariableCoefficien
t Std. Errort-Statistic Prob.
C 12064.51 2518.407 4.790532 0.0000SECONDARYDP 4003.592 1979.779 2.022242 0.0453
ADVANCEDEDUCDP 10642.40 2116.883 5.027391 0.0000STUDENT -8065.378 2071.518 -3.893463 0.0002
CIVILSERVANT -10106.32 2079.540 -4.859881 0.0000MALE 5.028344 1491.369 0.003372 0.9973
UGANDAN 3551.350 1974.830 1.798307 0.0746DP -2065.672 1877.360 -1.100307 0.2733
R-squared 0.369686 Mean dependent var 10412.21Adjusted R-squared 0.333814 S.D. dependent var 9657.098
S.E. of regression 7882.142 Akaike info criterion 20.84171
Sum squared resid 7.64E+09 Schwarz criterion 21.01730
Log likelihood -1357.132 Hannan-Quinn criter. 20.91306
F-statistic 10.30583 Durbin-Watson stat 2.063325Prob(F-statistic) 0.000000
Figure 8
H0: Model has no omitted variables and is correctly specified
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H1: Model is misspecifiedRamsey RESET Test:
F-statistic 0.027054 Prob. F(1,122) 0.8696Log likelihood ratio 0.029047
Prob. Chi-Square(1) 0.8647
Given our high p-value (0.8696) >0.05 we fail to reject H0 that our model has no ommited variables is correctly specified at a 5% significance level.
Figure 9
H0: Homoskedasticity
H1: Heteroskedasticity
Heteroskedasticity Test: White
F-statistic 1.489560 Prob. F(34,96) 0.0678
Obs*R-squared 45.24189 Prob. Chi-Square(34) 0.0942
Scaled explained SS 63.95851 Prob. Chi-Square(34) 0.0014
P-value 0.067>0.05 so we fail to reject h0 of homoskedaticity
Due to our p-value (0.067) >0.05 we fail to reject H0 that we have homeskedasicity within our model. We confirm this by running a Breusch Pagan test:
Heteroskedasticity Test: Breusch-Pagan-Godfrey
F-statistic 1.501527 Prob. F(11,119) 0.1396
Obs*R-squared 15.96629 Prob. Chi-Square(11) 0.1424
Scaled explained SS 22.57155
Prob. Chi-Square(11) 0.0203
The high p-value (0.1396)>0.05 supports our assumption of homoskedisicity.
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References
Aumann, R (1989) Lectures on Game Theory, Underground Classics in Economics, Westview Press, Boulder, 1989
Auten, G,E., Sieg, H and Clotfelter, C,T (2002). Charitable Giving, Income, and Taxes: An Analysis of Panel Data. American Economic Review 92, 1: 371-382
Bakija, J and Heim, T. (2011). How does charitable giving respond toincentives and income? New Estimates from Panel Data. National Tax Journal. 64 (2), 615-650.
Carpenter, J, Connolly, C, & Myers, C (2008), 'Altruistic Behavior in a Representative Dictator Experiment', Experimental Economics, 11, 3,pp. 282-298.
Eckel, C and Grossman, P. (1996). Altruism in Anonymous Dictator Games. Games and Economic Behavior . 16 (0081), 181-191.
Engel, C (2011), 'Dictator Games: A Meta Study', Experimental Economics,14, 4, pp. 583-610.
Epps, T. W., & Singleton, K. J. (1986). An omnibus test for the two-sample problem using the empirical characteristic function. Journal of Statistical Computation and Simulation, 26, 177–203.
European Commission. (2006). Handbook of recommended practices for questionnaire development and testing in the European Statistical System. Available:
25
http://epp.eurostat.ec.europa.eu/portal/page/portal/quality/documents/RPSQDET27062006.pdf.Last accessed 31/03/2014.
Gittell, R, and Tebaldi, E (2006). Charitable Giving: Factors Influencing Giving in US States. Nonprofit and Voluntary Sector Quarterly 35, 4: 721-736.
Goerg, S. J., & Kaiser, J. (2009). Non-parametric testing of distributions—the epps-singleton two-sampletest using the empirical characteristic function. Stata Journal, 9, 454–465.
Henrich, J., & Boyd, R. (2005). Economic man’ in cross-cultural perspective. Behavioral experiments in 15 small-scale societies. Behavioral and Brain Sciences, 28, 795–815.
Kitchen, H(1992). Determinants of charitable donations in Canada: a comparison over time. Applied Economics 24, 7: 709-713.
Leider, S., Möbius, M. M., Rosenblat, T., & Quoc-Anh, D. (2009). What do we expect from our friends? https://mercury.smu.edu.sg/rsrchpubupload/15345/ExpectFriends.pdf
Low, J . (2013). World Giving Index 2013. Available: https://www.cafonline.org/PDF/WorldGivingIndex2013_1374AWEB.pdf. Last accessed 01/04/2014.
Montet, C. and D. Serra (2003), Game Theory & Economics. Palgrave Macmillan, Houndmills, UK
National Council for Voluntary Organisations . (2013). UK Giving.Available: https://www.cafonline.org/PDF/UKGiving2012Summary.pdf. Last accessed 01/04/2014.
Pharoah, C and Tanner, S. (1997). Trends in Charitable Giving. Fiscal Studies. 18 (4), 427-443.
UNESCO Institute for Statistics. (2011). School Enrollmeant, secondary (%gross) Uganda. Available: http://data.worldbank.org/indicator/SE.SEC.ENRR/countries/UG-ZF-XM?display=graph. Last accessed 28/03/2014.
UNESCO Institute for Statistics. (2011). School Enrollmeant, secondary (%gross)
26
Malawi. Available:http://data.worldbank.org/indicator/SE.SEC.ENRR/countries/MW-ZF-XM?display=graph Last accessed 28/03/2014.
.
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