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samlet årgang - Økonomisk Institut - Københavns Universitet

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372<br />

NATIONALØKONOMISK TIDSSKRIFT 2005. NR. 3<br />

Table 6. Results of the estimation, 2 nd year courses with math-variables.<br />

Variable Course Course Course Course<br />

212E 222 234 241<br />

Intercept term 4.53*** 9.62*** 8.50*** 8.71***<br />

DQ – – -5.39*** –<br />

GPA*DQ – – 0.27** –<br />

MOTAVR*DQ – – – –<br />

DSCAND*DQ – – 2.77*** –<br />

AGEADMIT – – – –<br />

MGRADE 0.36* – – –<br />

ALEVEL – – – –<br />

Number of observations 32 21 31 –<br />

R2 0.12* – 0.35*** –<br />

OLD – – + +<br />

Note: OLD: a plus means that a model with similar characteristics as the one in table 1 still applies to the<br />

smaller data set. A minus means that this is not the case. * significant at the 10% level, ** significant at the<br />

5% level, *** significant at the 1% level.<br />

cant. In most cases we have been able to find new models and very often the math grade<br />

enters the new equations significantly and with a positive sign. Also the explanatory<br />

power is increased for all courses. Furthermore, it seems that the importance of the GPA<br />

and the quota-variable has been reduced: only in two of the new models is the quotavariable<br />

still significant. For the second year courses the inclusion of the math grade data<br />

does not seem to add much – actually, very few observations are left for analysis here.<br />

However, due to the reduced number of observations and the bias they introduce, we<br />

should be a bit careful in our interpretations. We shall therefore tentatively conclude that<br />

the math grade is an important factor to include in future models on these issues.<br />

The last extension that we investigate here has to do with something that we<br />

mentioned in the very beginning of our paper, viz. that the students’ performance may<br />

improve considerably in a good learning environment. Thus, and in addition to our primary<br />

goal of determining the importance of student background characteristics to<br />

their performance, we test here whether the first year’s GPA has any explanatory value<br />

for the second year performance. To investigate this hypothesis on our data, we ran<br />

some additional regressions for the 2 nd year courses to see if adding the 1 st year GPA to

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