Multivariate analysis can be used to identify the effects of several factors on the causes of a crash compared to univariate analysis. This paper uses a multivariate analysis technique, the multinomial logistic regression (MLR) model, to examine the differences in crash contributing factors for six collision types for both divided and undivided highway non‐junctions, given that a crash has occurred. MLR was used to investigate, i) single‐vehicle, and ii) multi‐vehicle collisions, which included: a) angular, b) head‐on, c) rear‐end, d) sideswipe‐same‐direction, and e) sideswipe‐opposite‐direction collisions. The risks associated with different collision types were found to be significantly influenced by various vehicle actions. The risk of sideswipe‐same‐direction collisions was higher while changing lanes and merging on undivided and divided highways. Similarly, while merging, drivers were prone to angular collisions, and when slowing down to rear‐end collisions on undivided and divided highways. On weekdays, higher risk of multi‐vehicle collisions, whereas on weekends, single‐vehicle collisions were found to be statistically significant. The risk of single‐vehicle collisions due to drivers negotiating a curve, driving on a wet road surface, during nighttime, when vision was obscured, avoiding objects on the roadway, and driving under the influence of alcohol was higher compared to other collision types. Based on the results of analysis, it was found that the risk of single‐vehicle collisions was higher on divided and undivided highways compared to other collision types. Further, binary logistic regression model was used to identify the factors that contribute to crash injury severity, given that a crash has occurred. Drivers and passengers who did not wear lap and shoulder belts and drove under the influence of alcohol were involved in serious crash injuries. Drivers involved in a crash on horizontal and vertical curves were prone to severe crash injuries compared to crashes on straight and level roadways. Head‐on and single‐vehicle collisions were found to be at a higher risk for severe injuries compared to other collision types. Additionally, collision types were strongly related to driver behavior (decision making) parameters such as merging, changing lanes, slowing/stopping compared to parameters such as roadway geometry, atmospheric conditions, surface conditions, etc. From these results, the importance of different statistical techniques is evident as the significant variables varied for crash severity and different collision types.