Thanks to PR #23, I discovered that the "total = direct + indirect" equality is violated by the simulation function itself.
It happens when the mediator is continuous and the problem is misspecified. The equality is always violated for effects[0] == effects[2] + effects[3] i.e. total = theta_0 + delta_1.
This may be for theoretical reasons, but I'd rather report it.
Thanks to PR #23, I discovered that the "total = direct + indirect" equality is violated by the simulation function itself. It happens when the mediator is continuous and the problem is misspecified. The equality is always violated for
effects[0] == effects[2] + effects[3]i.e.total = theta_0 + delta_1. This may be for theoretical reasons, but I'd rather report it.Code :
data = simulate_data(1000, default_rng(321), True, True, 1, 1, 123, "continuous", 0.5, 0.5, 0.5, 0.5)effects = np.array(data[4:9])print(effects)effects[0] == pytest.approx(effects[1] + effects[4])effects[0] == pytest.approx(effects[2] + effects[3])Output :
[1.62116435 1.47413792 1.21991494 0.44107929 0.14702643]TrueFalse