Search

Introduction: Multiple imputation (MI) is one of the most highly recommended methods for replacing missing values in research data. The scope of this paper is to demonstrate missing data handling in SEM by analyzing two modified data examples from educational psychology, and to give practical recommendations for applied researchers. Method: We provide two examples (N = 589 and N = 621, respectively) based on previous studies of students' self-concepts, mastery goals and performance avoidance goals, and a 7- step tutorial. Then, we produced 20% and 40% missing data under three missing mechanisms by these complete, genuine data sets. The resulting datasets were then analyzed by (1) listwise deletion and structural equation models (SEM), (2) full information maximum likelihood (FIML) with SEM, and (3) MI combined with SEM and pooling. Thus, the results stem from 2 × 3 × 3 conditions. Results: Previous research was replicated by illustrating a practical way to combine MI with SEM and pooling. The assumed factor structure was depicted in both examples with multiply imputed values applied. Discussion: We suggest adding variables to clarify the missing data mechanism, especially for dependent variables as motivation. Such variables might indicate whether missing values in dependent variables are correlated with independent variables (e.g., interest) or the dependent variable itself (e.g. lack of motivation independently of interest).

Introduction: In this paper, Spanish future primary teachers' pedagogical knowledge of numbers and operation, as revealed through their results in the TEDS-M ("Teacher Education and Development Study in Mathematics"), is compared with that of two other groups. The first group are the future primary teachers of other OECD countries that also participated in the study: Norway, Germany, Chile and Poland. The second group are the future primary teachers of participating countries where preservice teachers receive training similar to Spain's teacher training, namely, China-Taipei, Singapore, United States, Philippines and Switzerland. Method: To meet this objective, data was analyzed and parameters were calculated based on categories that characterize the pedagogical knowledge required to correctly answer the questions in this conceptual domain, using response assessment criteria. Results: We found that Spanish prospective teachers have lower results, in general, than those of the other OECD countries and of countries in the group with similar training programs. The Spanish scores are lower than Norwegian, Swiss and Singaporean scores in all aspects considered. For most categories, Spain obtained higher scores than Philippines and Chile, and similar scores to the U.S.A. Discussion: When comparing the results from the OECD countries that participated in the two international studies, TEDS-M and TIMSS 2011 (Spain, Poland, USA, Norway, Germany and Chile), we find that their relative positions are maintained in the ranking of assessed mathematical knowledge of numbers and operations, whether in preservice teachers or in primary students. Spanish results in the TIMSS are just above Poland and Chile and below the rest. The results obtained in this study may be useful in the current syllabus design process for subjects in the Elementary Teacher Education degree.