That’s neither here nor there, as long as the null and alternative hypotheses are clearly delineated, then all that really matters is that:Let's start with your reversal of the order in which the hypothesis and the null hypothesis are posited, because that's very important. The null hypothesis should never be posited first, because the null hypothesis is created in order to be disproved in support of the hypothesis.
”We give special consideration to the null hypothesis. This is due to the fact that the null hypothesis relates to the statement being tested, whereas the alternative hypothesis relates to the statement to be accepted if / when the null is rejected.” (http://www.stats.gla.ac.uk/steps/glossary/hypothesis_testing.html#h0)
I was merely working off the hypothesis RoboT first proposed and that you subsequently quoted in the post of yours that you stated that I needed to address – so lets not try and get too cute wollery…In this case the hypothesis (your hypothesis, which you have continually offered in one form or another)…
Sure, I have already explicitly acknowledged that substitution is valid.…can be stated as, "Some UFO cases are not mundane in origin" or if you prefer "Not all UFO cases are mundane in origin". …
Sure but given independent studies have shown the incidence of hoax/psychological is 1-2%, then lets not get too obsessed with those alternative – the vast bulk of reports (according to the UFO debunkers) arise from a misidentification of mundane objects.The wording is important because it covers all mundane possibilities, not just error in identifying extant objects, and this is important because some UFOs are known to be the result of hoaxes, delusions, lucid dreams, hallucinations and optical illusions where no physical object ever existed to be misperceived.
It is not my formulation – it was RoboT’s, then yours… So let’s not try to misrepresent here wollery, there is no need.The hypothesis should never include any unwarranted assumptions, and your formulation does i.e. it assumes that there is a physical object (or objects) at the heart of every UFO report.
I have acknowledged you can substitute in your terminology…My formulation of the hypothesis includes such reports, and is thus the simplest and therefore easiest to test.
I would not go that far (but we’ll come to that soon enough I guess)…So, having formulated the simplest hypothesis with no assumption…
The general approach is valid.…we now take the inverse as the null hypothesis. This then is "NOT {not all UFO cases are mundane in origin}", and removing the double negative gives us, "All UFO cases are mundane in origin. This then is a testable null hypothesis, since all we need to do is show one case that's not mundane in origin, or show statistically that identified and unidentified UFOs are not drawn from a single population, but are instead drawn from two, i.e. mundane and non-mundane origins.
Sure…This leads us to the next problem, which is how to test the null hypothesis. The first way to test it, as noted above is to show one UFO report which is definitively non-mundane in origin. This is of course problematic, because UFOs are by their nature transient events, so such proof would be almost impossible to come by.
Sure but as hoax etc (according to the independent research of the Air Force, Hynek and Hendry) is between 1-2%, then it is not significant. We can account for such in our analyses. (I’ll get the references for you later – but you can be sure I do have them and they are valid…).The second method is to demonstrate statistically that identified and unidentified UFOs are not drawn from a single population (i.e. mundane origins). However, this is also problematic, because identified UFOs are drawn from a huge range of populations, some with common properties, some without common properties, which may be more or less identifiable than others, and some of which (hoax, delusion, lucid dream and hallucination) have the potential to be totally dissimilar from any identified UFO, which will skew any attempt at statistical analysis.
Again, let’s not get too cute wollery…You have correctly pointed out (or rather, picked up repeated my point from a few pages back)…
Sure……that the quality of the reports may affect whether or not they can be identified, and that this may skew the statistics.
You assess the reliability of the reports on a number of factors. For example:This leads to the question, how can we account for the reliability of the report? The problem here is that we are now into a fairly subjective area. As has been shown in this thread over and over, the reliability of witnesses and data are often not clear. If you have any idea how this subjectiveness can be overcome then I'm sure we'd all be happy to hear it.
Experience of observer (occupation, training, age, etc)
Internal consistency of report
General quality and completeness of report
Observer's fact reporting ability (manner of describing the sighting)
There will be many more false positives (non-mundane explained as mundane) than false negatives (mundane not explained) - and this is simply because there are an overwhelming majority of explained reports. This acts to wash out any potential differences between the known and unknown category reports and actually works in favour of the null hypothesis. I am willing to cop that handicap.But there is still one confounding factor that you haven't mentioned, which is that there may be UFOs which have mundane origins that are more likely to result in a report remaining unexplained, even if the report is of high quality, and there may be mundane origin UFOs which are often attributed to the wrong mundane cause. These would both skew the statistics and could lead to a false conclusion.
I am willing to risk it if we both are willing to accept the results. Let the chips fall where they may.Any statistical study must attempt to take all confounding factors into account, and correct for them simultaneously. It would be a very brave man indeed who took that analysis on.