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Whether causal relationship can be established between two phenomena is highly controversial as a philosophical issue. According to David Hume, causal connections among real events cannot be perceived. Bertrand Russell even suggested that the term causality be banned in scientific discourse. Academic researchers, however, simply cannot help asking why and searching for causal explanations. Then Herbert Simon proposed that discussions of causality be restricted to our model of the reality rather than to the reality per se.

The desire to find causality is motivated by at least three potential benefits. First, causal explanation is believed to transcend time and space and therefore has a much wider scope of applications. Second, causal connections constitute the foundation of good control of the interested phenomena, which is especially important for policy making. Third, most causal statements are subject to the laws of logic and therefore more rigorous than they would be if no logic were involved.

It is unjustified, however, to think that causal analysis is always desirable and superior to other types of analysis. Sometimes, it is perhaps more important to know what has happened than why something has happened, because it is either less important or extremely difficult to ascertain the causal mechanism. Carefully produced and interpreted, descriptive statistics are sufficient in many situations. Furthermore, causality is not a prerequisite of precise prediction. For example, in demography and econometrics, making an accurate prediction is more important than identifying a causal chain or measuring a causal effect.

Finally, to discover that A causes B is beyond the capacity of statistical analysis. Causal mechanisms are either found through heuristic methods, such as experiment and observation, or simply derived from current theories and knowledge. It is only after the causal relationship is proposed that statistical techniques can be applied to measure the size of the causal effect.

Basic Concepts

Causality implies a force of production. When we say A causes B, we mean the connection is a directed one, going from A to B. A causal relationship is thus asymmetric. Sometimes, the term reciprocal causality is used, meaning A causes B and B causes A as well. Although that relationship is possible, very often it indicates that a temporary order or an underlying causal mechanism has not been clearly identified.

In theory, causal relationships are best established when two conditions are satisfied. Call the causal variable X and the outcome variable Y, and suppose there are only two possible values for each of them: for the cause, “exists” or “not exists,” and for the outcome, “has happened” or “has not happened.” Then four scenarios are possible.

For example, consider whether taking a personal tutorial would improve a student's exam results (Table 1). The tutorial does not help if the student takes it but no improvement follows (scenario 2) or if the student does not take it but improvement is made (scenario 3). We can say the tutorial is a causal factor of improvement only when scenarios 1 and 4 are both true, that is, if the student takes the tutorial and improvement follows and if not, no improvement. Researchers, however, are often tempted to make a causal connection when only scenario 1 is true, without seriously considering scenario 4. This is not only because it is straightforward to make the casual link from scenario 1 but also because information for scenario 4 is usually not available. A student either has taken the tutorial or has not taken it; it is impossible to have taken and have

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