Earlier quoted context omitted.
The key point is that I am saying the second quote does say the null is false. This is where we differ. The actual null hypothesis they are testing is different than the one they actually care and talk about. It includes additional auxilliary assumptions that they say are wrong. What gets plugged in as the null hypothesis is not a problem in the realm of statistics. That is a choice of the researcher. The stats algor…
That sentence is closer to a link than actual content. If you look at paper (14), it has the following graph: http://imgur.com/a/oxSqp It shows that the null model is perfectly appropriate for individual voxels under the event-related paradigms. The FWER there is indistinguishable from 5%, as it should be if the null were true. It also shows that FWER for the null model is inflated by ~6x for blocked paradigms. As th…
"The poor social scientist, confronted with the twofold problem of dangerous inferential passage (right-to-left) in Figure 2 is rescued as to the (H → O) problem by the statistician. Comforted by these “objective” inferential tools (formulas and tables), the social scientist easily forgets about the far more serious, and less tractable, (T → H) problem, which the statistics text does not address." http://rhowell.ba.ttu.edu/Meehl1.pdf
Here, we are not even yet talking about the substantive theory, although that issue will also exist. There is also a difference between the statistical hypothesis (the mathematical object) and what the researcher wants to test. I think you are conflating those two hypotheses.