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Multivariate statistics for count outcomes

Test multivariate associations when predicting for continuous outcomes with skewed distributions

Multivariate statistics for count outcomes are used for continuous outcomes that have naturally skewed distributions. A count outcome is the absolute number of times that something occurs. Something can NOT occur so the "true zero" allows this outcome to be considered continuous. There is a different type of underlying distribution used with this type of continuous outcome. Multivariate statistics for count outcomes allow you to predict for the number of times that something will occur as a count value. Interpretation of the statistics are similar to the methods of logistic regression as odds ratios with 95% confidence intervals are the primary inferences yielded from the analyses and researchers still have to meet statistical assumptions. The choice of multivariate statistical test for a count outcome depends upon the nature of the skewed distribution: Less varied (Poisson regression) or more varied (negative binomial regression).

Choice of multivariate test depends upon the variance of the count outcome

For Poisson regression, the mean of the count outcome is higher than its associated variance.
Poisson Regression
For negative binomial regression, the mean of the count outcome is less than its associated variance.
Negative Binomial Regression

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There are two multivariate statistics for count outcomes: Poisson regression and negative binomial regression.

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