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Statistical Analysis Of Key And Semi-Key SLQ

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drdave's Avatar
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 Posted 05/21/2011  7:30 pm Show Profile   Bookmark this topic Add drdave to your friends list Get a Link to this Message Number of Subscribers
For background information, I posted a similar thread on Lincoln Cents:

https://goccf.com/t/88992#735292

Now for the Standing Liberty quarters. I only included business strikes, and also compare my findings with the current price (as found on numismedia.com for G4.)

From the LWC study: key date z-values were found to be -2.2 and less; semi-keys between -2.2 and -1.5.

To get a z-value, I determine the relative standard deviation from the mean (log mintage) values. The results for the "top 5" SLQ are as follows:

1916 -3.54 key
1927-S -1.85 semi-key
1927-D -1.10
1929-D -0.83
1923-S -0.83

I've based my key and semi-key distinctions based on the LWC series. The 1916 SLQ is the lowest z-value I've calculated so far.

I then compared the price (G4 based on numismedia.com) with these z-values. The graph below shows the log (price) on the y-axis and z-value on the x-axis.
Statistical-Analysis-Of-Key-And-Semi-Key-SLQ
There seem to be some cheaper low mintage coins here in this series, 1927-D, for example.

Comments? Thanks for reading...



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johnny54321's Avatar
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4849 Posts
 Posted 05/21/2011  7:38 pm  Show Profile   Bookmark this reply Add johnny54321 to your friends list Get a Link to this Reply
Very interesting. One of the wrinkles in the SLQ mintage numbers vs. value is that a huge percentage of pre-25s have unidentifiable dates. As a result, pre-25 vs. post 25 are very difficult to compare based on mintage, and the log value of the 27-s/d and 29-d are very low compared to the pre-25 within similar z value range.
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drdave's Avatar
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 Posted 05/21/2011  8:15 pm  Show Profile   Bookmark this reply Add drdave to your friends list Get a Link to this Reply
johnny54321 - thanks for the insight. Makes sense.
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mdh157's Avatar
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952 Posts
 Posted 05/21/2011  9:39 pm  Show Profile   Bookmark this reply Add mdh157 to your friends list Get a Link to this Reply
very interesting Dave.......funny how the 29-D is still very cheap even figuring the low mintage. JH Cline does discuss a bit of his theories on reported vs actual mintages in his book compared to what is actually available today, particularly in high grades. That may explain the inconsistencies, but I suppose we will never know for sure if the reported mintages are correct.

may I ask what the next 2 highest priced coins are? It does appear that one of them is the 23-s.
Edited by mdh157
05/21/2011 9:40 pm
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drdave's Avatar
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 Posted 05/21/2011  10:20 pm  Show Profile   Bookmark this reply Add drdave to your friends list Get a Link to this Reply
After the 1916, the highest priced ones are 1923-S, 1921, 1919-S, and 1919-D.
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sel_69l's Avatar
Australia
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 Posted 05/21/2011  11:01 pm  Show Profile   Bookmark this reply Add sel_69l to your friends list Get a Link to this Reply
This information can be used to develop a profitable buying strategy. Those who a) can understand what you are doing, and b) can use this information, can be at an advantage.

I just may set up a data set like this and apply it to some circulating Australian coins, e.g. Maklouf bust 20 cent pieces.
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drdave's Avatar
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 Posted 05/21/2011  11:08 pm  Show Profile   Bookmark this reply Add drdave to your friends list Get a Link to this Reply
sel_69l: That's exactly what I was thinking. I am working on the analysis now. Shall I share this with the community?
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sel_69l's Avatar
Australia
21786 Posts
 Posted 05/22/2011  02:21 am  Show Profile   Bookmark this reply Add sel_69l to your friends list Get a Link to this Reply
drdave: We are all eyes and ears. Go for it!

BTW, your user name is a strong clue to what my real name is.
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