The factorial of experiments assumes that the response variable is a distributed are normal distribution. Thus, the dependence the technique of analysis of variance (ANOVA), which is assume the response variable are normally distributed, However, there are many situations where the response variable is non -normal. There are many methods that help us to Processing this problem, we are using the log transformation method for the responses because the distribution of this responses is non- normal. In this paper we are studying the most important factors affecting the production of the Iraqi dates using factorial experiments. The five factors have been described as the following: (Fertilizers, Dates Type, Date of vaccination, temperature, Pesticides) and each factor has two levels. We are using the log transformation method for the responses because the distribution of this responses is non- normal. The ways used to determinate the most important factors are the traditional methods and adaptive Lasso method for determine important factors. We used program R to analyse the data