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To demonstrate a functional relationship, there needs to be three demonstrations of an effect.
A quasi-causative relationship between the dependent and independent variables is referred to as a functional relationship.
If the dependent variable consistently shifts in the intended direction as a result of the introduction and manipulation of the independent variable, then this relationship is said to exist.
As an illustration: "When the other variables are under control and the X is changed by manipulating it by 5 points, variable B changes by 5 points.
A 3 point drop in variable B happens if X increases by 3 points. This assertion suggests a potential functional connection.
According to published recommendations for the analysis of SCR, there should be three fundamental effects—changes in the dependent variable's level, trend, or variability—from one phase to the next before a functional relationship may be established.
The second and third intervention phases (B) shouldn't start until at least three sessions after the intervention in the preceding tier had been started because, generally, at least three data points in the intervention (B) condition are necessary to demonstrate a functional relationship.
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Three demonstrations of an effect must be presented to demonstrate a functional relationship.
A relation is simply a set of ordered pairs. Not every relationship is a functional relationship.
A function exists when each x value (input, Independent variable) is paired with exactly one y value. This sort of pairing can be considered a functional relationship.
Input (x) Output (y)
2 1
3 0
4 -1
5 -2
6 -3
If you wanted to describe the relationship between the numbers in the left-hand column and the numbers in the right-hand column, you might say that for every 1-unit increase in x, there is a 1-unit decrease in y. Or if you didn't have the exact numbers, and all you had was a graph, you could also say, as the inputs get bigger, the outputs get smaller.
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