In my country, studying educational psychology is a postgraduate qualification. It implies that you have completed an undergraduate sequence in psychology, and therefore would have already been exposed to the basics of statistics and research methods (e.g., univariate, bivariate statistics, significance testing, various ANOVA, regression, study designs, measurement reliability/validity, etc.). This may also include a subject on multivariate methods (e.g., factor analysis, logistic regression, perhaps a little SEM, etc.). Popular texts within psychology courses for this material include Andy Field's book and Tabachnick and Fidell Using Multivariate Statistics.
Thus, for students coming into an postgraduate Educational Psychology program, they may need a refresher or consolidation of the above statistical methods.
In general, educational psychology uses a lot of the same statistical techniques as other areas of psychology. A few techniques of particular relevance include:
- Multivariate methods: In particular, regression, factor analysis, SEM and so on are all common techniques for analysing observational studies common in educational psychology
- Multi-level modelling: to model longitudinal data (e.g., student change) or students nested within classrooms or schools
- Various models related to measurement and test design: In particular Item Response Theory, Classical Test Theory, exploratory and confirmatory factor analysis
- Meta-analysis: to systematically evaluate interventions and other findings across studies
Ultimately, how well you want to learn any of the above techniques depends on your aims. These more advanced techniques can help you read the literature, and are particularly important if you want to do research using the technique.