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We study dependencies between discourse structure and speech recognition problems (SRP) in a corpus of speech-based computer tutoring dialogues. This analysis can inform us whether there are places in the discourse structure prone to more SRP. We automatically extract the discourse structure by taking advantage of how the tutoring information is encoded in our system. To quantify the discourse structure, we extract two features for each system turn: depth of the turn in the discourse structure and the type of transition from the previous turn to the current turn. The χ2 test is used to find significant dependencies. We find several interesting interactions which suggest that the discourse structure can play an important role in several dialogue related tasks: automatic detection of SRP and analyzing spoken dialogues systems with a large state space from limited amounts of available data.