The main problems here appear to be post hoc analysis and the file drawer effect. One reform that would make a huge difference would be a register of trials in advance of the trial taking place, including details of how they propose to analyze the data. Ideally, journals would accept papers for publication on the basis of the entry in the register, before the data arrives.
What's the reason to not demand that all experiments be videoed in their entirety?
You seem to be trying to accommodate the way scientists and journals already operate:
Sometimes, the proposal might not end up as a wholly accurate description of the actual experiment, for a variety of reasons.
It might not be bad to accommodate them, but the primary and central purpose of science is to know – to produce shared knowledge of the world.
I think an ideal journal would allow scientists to change their registered proposal – possibly. That would also be recorded
The Decline Effect and the Scientific Method (article @ the New Yorker)
First, as a physicist, I do have to point out that this article concerns mainly softer sciences, e.g. psychology, medicine, etc.
A summary of explanations for this effect:
These problems are with the proper usage of the scientific method, not the principle of the method itself. Certainly, it's important to address them. I think the reason they appear so often in the softer sciences is that biological entities are enormously complex, and so higher-level ideas that make large generalizations are more susceptible to random error and statistical anomalies, as well as personal bias, conscious and unconscious.
For those who haven't read it, take a look at Richard Feynman on cargo cult science if you want a good lecture on experimental design.