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Final Report Pilot Project - Relaciones Internacionales de la ...

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error of any estimate produced. The sampling error is increased<br />

<strong>de</strong>pending on differences in measured items among clusters.<br />

Based on data, this <strong>de</strong>sign effect due to cluster sampling may be<br />

estimated by intracluster corre<strong>la</strong>tion: high intracluster corre<strong>la</strong>tion<br />

indicates that differences among clusters are high, and therefore<br />

increases the survey sampling error. It should be noted that low<br />

intracluster corre<strong>la</strong>tion in any item, near to zero, indicates that a simple<br />

random sample would have produced simi<strong>la</strong>r results.<br />

In re<strong>la</strong>tion to the results of the Tuning Questionnaire on generic<br />

skills and competences simple random sampling estimates and<br />

procedures were avoi<strong>de</strong>d in either univariate or multivariate analysis.<br />

All estimates and conclusions take into account the clustered nature of<br />

data at both University and country level through multilevel mo<strong>de</strong>lling.<br />

It was regar<strong>de</strong>d as the most appropriate approach since multilevel<br />

mo<strong>de</strong>ls take into account the clustered structure of data (i.e. does not<br />

assume that observations are in<strong>de</strong>pen<strong>de</strong>nt as in simple random<br />

sampling). These mo<strong>de</strong>ls have been wi<strong>de</strong>ly used on educational data as<br />

their clustered structure, stu<strong>de</strong>nts within educational institutions, is<br />

always present.<br />

At the same time multilevel mo<strong>de</strong>lling allows simultaneous<br />

mo<strong>de</strong>lling of individual and cluster level differences providing a<strong>de</strong>quate<br />

estimates of standard errors and making appropriate any inference at<br />

both individual and cluster level.<br />

In this context clusters are not regar<strong>de</strong>d as a fixed number of<br />

categories of a exp<strong>la</strong>natory variable (i.e. the list of selected universities<br />

as a fixed number of categories) but it consi<strong>de</strong>rs that the selected<br />

cluster belong to a popu<strong>la</strong>tion of clusters. At the same time yields<br />

better estimates at individual level for groups with few observations.<br />

Three different types of variables are analysed:<br />

80<br />

—Importance items: 30 competences rated on importance by<br />

respon<strong>de</strong>nts (Graduates and Employers)<br />

—Achievement items: 30 competences rated based on achievement<br />

(Graduates and Employers)<br />

—Ranking: based on the ranking of the five most important<br />

competences provi<strong>de</strong>d by graduates and employers, a new<br />

variable was created for each competence. For each respon<strong>de</strong>nt<br />

the corresponding competence was assigned five points if it was<br />

the first selected competence, four if it was the second one,<br />

etc… and finally one point if it was selected in the fifth p<strong>la</strong>ce. If<br />

the competence was not chosen by the respon<strong>de</strong>nt, zero points<br />

were assigned. For the aca<strong>de</strong>mics, who had to rank a longer list

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