What is an empirical proof that two concepts are not independent/orthogonal? Given there are two psychological concepts A and B that are considered to be independent/orthogonal.

Would the following empirical results proof the opposite? If not why?

In the first experiment A is the independent variable with two conditions: high and low A.
B is identically induced in both conditions and measured as the dependent variable.
In the high A condition high B is measured. In the low A condition low B is measured.
The second experiment is analog to the first one, except with A and B reversed: in the high B condition high A is measured, and in the low B condition low A is measured.

References to papers that use similiar arguments would be very helpful.
Since the data show a two-way dependence (low A -> low B, hi A -> hi B and the reverse) this would prove the variables are not independent, as 


  Linearly independent, orthogonal, and uncorrelated are three terms used to indicate lack of relationship between variables. 


Reference
- Rodgers et al., The American Statistician (1984); 38(2): 133-4