Write a Python code to solve the below statistical problem:

Problem 4 Dental implant data: The hardness of metal implants in dental cavities depends on multiple factors, such as the method of implant, the temperature at which the metal is treated, the alloy used as well as the dentists who may favor one method above another and may work better in his/her favorite method. The response is the variable of interest. 4.1 How does the hardness of implants vary depending on dentists? 4.2 How does the hardness of implants vary depending on methods? 4.3 What is the interaction effect between the dentist and method on the hardness of dental implants for each type of alloy? 4.4 How does the hardness of implants vary depending on dentists and methods together