Hello Mike N,
Re: "I thought I had read a study which analysed Alexander Marr? s Topocentric Primary Directions system with the results being unsupportive, but I can't find it for the moment."
I would be interested in reading any commentary relating to Marr, Topocentric Primary Directions, or Polaris that you could find. Please share if you do find it.
I must comment, since my experience has been the opposite. I have used Polaris (and thereby Alexander Marr's methods) on
many rectifications and have found it be a Godsend. Normally, Polaris requires quite a few events (if we're talking about a large search range) in order to do its magic.
You can read my Pat Nixon rectification article at
http://www.jamesalexander.de/PatNixon.html and get a better idea about Polaris and some of these methods. (there are other rectification-related things on the website, but I am trying to make sure that this doesn't look like a shameless plug -- I bring it up since there is some confusion about the methods and their efficacy)
Re: "How many events would you require and what would be the nature of these events."
The number of events needed depends on the size of the search range and in how well the true birthtime's (appropriate) Topocentric Primary Directions stand out against other possible birthtimes in that search range.
To explain it better...
Each rectification is different. Sometimes with a large search range and not so many events Polaris is able to quickly resolve the true birthtime. In some other cases, with many more events and a much smaller search range, it is still much work to resolve. In short, we don't know the difficulty until we roll up our sleeves and get into the work.
I am sure that the fundamental methodology is correct, otherwise, it would not be possible to directly input events from some celebrities and have Polaris take us directly to that birthtime. I rectified a chart of a fellow astrologer and (uncharacteristically) Polaris resolves his birthtime (matching the documented time to the minute) with only 3 events. Again, this IS a rarity that so few events leads us to the right time, but it shows the fundamental correctness of the algorithm.
Re: "...500-1,000 subjects would be the sample size..."
That simply is NOT possible, it is far too many man-hours to accomplish and it would be very difficult to find that many birthtimes (documented) that we KNOW are truly correct. The odds (in a 24 hour search) of Polaris (by chance) finding the documented (assuming correctness) time is 1 in 1440. Now (follow closely)
for every single time that Polaris correctly leads us to the birthtime, there would have to be 1439 times that it failed in order for Polaris to be seen as operating at chance levels. Each and every time that Polaris takes us to the correct birthtime without there also being 1439 "failures", is that much MORE that Polaris is performing beyond chance levels.
To put it another way, assume that we have 30 cases (we have more!) where entering in the events from some celebrities' lives causes Polaris to correctly output the documented birthtime in a 24 hour search. The odds of this happening are (1/1440)^30, which is approximately ONE chance in 5,634,751,435,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000. [ie. 5.634751435 * 10^94] (buying 3 tickets in three state lotteries and winning the jackpot in all 3 would be easier, odds-wise)
Re: " Putting in 5 possible times and asking the computer to find the accurate one should be sufficient."
That's not how Polaris works. Polaris "simply" takes the events from someone's life and looks through the search range for the BEST (possible) BIRTHTIMES in terms of
appropriate Topocentric Primary Directions for EACH event, but across
ALL of the events. Period. In a normal rectification, we start examining those times through other reliable systems (including Secondaries, Progressed Sidereal Solar Returns, and sometimes Age Harmonics) in order to CONFIRM which is correct. For a test, it is enough that we show that Polaris "sees" which is the correct time (ie. rates it highest), so that the fundamental algorithm can be seen to be correct.
Again, each rectification is different. For Ken Haining, 3 events and Polaris leads right to his birthtime (ie. number one by some margin). For my personal rectification, with 19 events, the correct time (in a 24 hour search) doesn't make it into the top 10 "possible" birthtimes. For Pat Nixon (mentioned earlier), Polaris took 18 events and the correct time is number one. (realize that Pat Nixon was NOT a 24 hour search...we already knew that she was born some time shortly before midnight, so no point in looking in the afternoon!)
Re: "Does anyone know what it costs?"
$350. More info can be read at
http://www.jamesalexander.de/PolarisSoftware.html
Hope this helped clarify some ideas you may have about the program.
By the way, I make NO MONEY from supporting the software. It is a labor of love because it makes my work so much easier!!!
Ed commented on the software, because he has "honed" his birthtime over 40 years of analysis. Polaris, and these attendant methods, leads us to his correct birthtime. As Ed said, he is "pretty impressed".
To me, this is the greatest proof that Astrology "works" and on terms that statisticians/mathematicians can understand, since the probabilities are very straight forward...
Peace