This reasoning illustrates Mill`s method of residues: many elements of a complex effect are demonstrated by reliable causal beliefs from several elements of a complex cause; All that remains of the effect must have been produced by the remnants of the cause. Note that if we accept the truth of all the relationships of cause, this method becomes an application of the deductive argument. Consider as an example of the two similar countries difference method. Country A has a centre-right government, a uniform system and was a former colony. Country B has a centre-right government, a single system, but has never been a colony. The difference between countries is that Country A easily supports anti-colonial initiatives, while country B does not. The difference method would or would not identify the independent variable as the status of each country as a former colony, the dependent variable supporting anticolonial initiatives. This is because the two similar countries have compared, the difference between the two is whether they were previously a colony or not. This then explains the difference with the values of the dependent variables, the former colony supporting decolonization rather than the country without a history of being a colony. What prompted you to look for the method of agreement? Please tell us where you read or heard it (including the quote, if possible). Although Mills` methods are an important part of the serious study of natural phenomena, they have significant constraints. These methods can only be applied with care if all relevant pre-gonal circumstances are taken into account, which cannot be guaranteed in advance.
Philosopher John Stuart Mill has developed a series of five methods (or canons) that analyze and interpret our observations in order to draw conclusions about the cause-and-effect relationships they have. Mills` methods are five methods of induction described by the philosopher John Stuart Mill in 1843 in his book A System of Logic.  They must shed light on issues of causation. To see how each of the five methods works, we look at their practical application to a particular situation. Suppose an otherwise uneventful afternoon, the university nurse realizes that an unusual number of students suffer from severe digestive disorders. Of course, Ms. Hayes suspects that this symptom is due to something that the students ate for lunch, and I`m sure she wants to find out. The nurse wants to find evidence that supports a conclusion that “eat?xxxx? causes digestive problems. Mill methods can help.
Perhaps the best way to introduce Mills` methods is an example. Suppose your family went to a buffet dinner together, but when you got home, you started to feel sick and feel stomach pains. How do you determine the cause of the disease? Suppose you draw up a table of foods that are taken by each family member: According to the residue method, if we have a number of factors that are considered to be the causes of a number of effects, and we have reason to believe that all factors, with the exception of a factor C, are causes of all effects , with the exception of one, then we should conclude that C is the cause of the remaining effect.