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The logarithm of the odds ratio, the difference of the logits of the probabilities, tempers this effect, and also makes the measure symmetric with respect to the ordering of groups For example, using natural logarithms, an odds ratio of 27/1 maps to 3296,The odds ratio is always positive, and an odds ratio of 1 means that the odds of the event occurring in the two groups is the same When plotting an odds ratio, the relevant fact is that it is a ratio A ratio is not symmetric, and reversing the comparison group results inThen the natural logarithm of this ratio (or the Log Odds) is evaluated (the Log Odds values are also shown on the Log Odds Table under Log Odds) Note, however, that there might be a problem in the evaluation of the log odds if there are bins with zero positive cases But this problem can be easily fixed with standard techniques Logistic Regression Binary Dependent Variable Pass Fail Odds Ratio P 1 P Eg 1 9 Means 1 Time In 10 Pass 9 Times Fail Log Odds Ratio Y Ln P 1 P ...