log transformations

Tweedie models are a special Generalized Linear Model (GLM) that can be useful when we want to model an outcome that sometimes equals 0 but is otherwise positive and continuous. Some examples include daily precipitation data and annual income. Data like this can have zeroes, often lots of zeroes, in addition to positive values. When modeling data of this nature, we may want to ensure our model does not predict negative values. We may also want to log-transform this data without dropping the zeroes. Tweedie models allow us to do both.

Log transformations are often recommended for skewed data, such as monetary measures or certain biological and demographic measures. Log transforming data usually has the effect of spreading out clumps of data and bringing together spread-out data. For example, below is a histogram of the areas of all 50 US states. It is skewed to the right due to Alaska, California, Texas and a few others.