Liver Diseases. High alkaline phosphatase levels can be associated with various liver diseases such as as hepatic cancer, cirrhosis, fatty liver and hepatitis. Doctors will usually run a liver panel blood test-- also called a hepatic function test.iver Diseases. High alkaline phosphatase levels can be associated with various liver diseases such as as hepatic cancer, cirrhosis, fatty liver and hepatitis. Doctors will usually run a liver panel blood test-- also called a hepatic function test.