Positive interaction information seems much more natural than negative interaction information in the sense that such explanatory effects are typical of common-cause structures. For example, clouds cause rain and also block the sun; therefore, the correlation between rain and darkness is partly accounted for by the presence of clouds, I(\text{rain};\text{dark}\mid\text{cloud}) < I(\text{rain};\text{dark}). The result is positive interaction information I(\text{rain};\text{dark};\text{cloud}).
