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Logistic Regession

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Hello - Searching for advice or readings. I have a data set were the probability of an event occurring (passing an exam) is approx 95% for one group and 90% for the other. I wanted to run a logistic regression to determine if group membership was related to this outcome. I vaguely remember reading that this type of data, that is were the probability of success is highly skewed presents a problem or may cause concerns with logistic regression. Any help pointing me in a direction is welcomed. Ted

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