Statistical Korean morphological analysis is a brand-new approach in that it does not require a manually built machine-readable morphology dictionary. Instead, it uses statistical information that is acquired from POS-tagged corpus. The acquisition of statistical information is fully automated, so that no human intervention is required in the process. This is a good side of the statistical approach to Korean morphological analysis. The bad side of the approach is its low precision, meaning that the number of false positives is relatively high. In order to improve the precision, this paper proposes a method of filtering false positives. The proposed method introduces two types of dictionaries, one-syllable-morpheme dictionary and josa-eomi dictionary, which are automatically constructed when statistical information is collected from the POS-tagged corpus. To evaluate the performance of the proposed method, 10-fold cross-validation is performed with 10 million eojeol Sejong POS-tagged corpus. The experimental results show that the precision has been improved by 5%.