This study examines the relationship between two kinds of semantic spaces -- i.e., spaces based on term frequency (tf) and word cooccurrence frequency (co) -- and four semantic relations -- i.e., synonymy, coordination, superordination, and collocation -- by comparing, for each semantic relation, the performance of two semantic spaces in predicting word association. The simulation experiment demonstrates that the tf-based spaces perform better in predicting word association based on the syntagmatic relation (i.e., superordination and collocation), while the co-based semantic spaces are suited for predicting word association based on the paradigmatic relation (i.e., synonymy and coordination). In addition, the co-based space with a larger context size yields better performance for the syntagmatic relation, while the co-based space with a smaller context size tends to show better performance for the paradigmatic relation. These results indicate that different semantic spaces can be used...