The scientific method cannot sufficiently describe the complex universe. The scientific method is a form of reductionism. Reductionism attempts to describe a complex system by reducing it to its simpler parts that make the system (ex. reducing emotion to physics and chemistry). The Antiscience view rejects reductionism in science as a sufficient way to describe the complex universe because the basic scientific principles have not reached the point where they can fully describe complex phenomena in the world like emotions. Empirical data alone cannot be a source of knowledge since there are many phenomena which the data cannot explain. 
The scientific method is not more special or accurate than other methods of knowledge. From a sociological perspective, scientists can never be fully pure from bias. Bias leads to subjectivity and interferes with the objective goals of science. From a religious perspective, the scientific method contradicts religious beliefs and traditions. Many people still rely on knowledge from religious beliefs like theories on the origin of life and humanity. Due to potential interfering biases and contradictions with religious beliefs, knowledge cannot be gained through the scientific method.