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	<title>Comments on: Our bulging &#8220;How not to do statistics&#8221; file just filled up and burst</title>
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	<description>"I accept no responsibility for statistics, which are a form of magic beyond my comprehension." -- Robertson Davies</description>
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		<title>By: Mark Bates</title>
		<link>http://magicstatistics.com/2007/03/01/our-bulging-how-not-to-do-statistics-file-just-filled-up-and-burst/comment-page-1/#comment-10854</link>
		<dc:creator>Mark Bates</dc:creator>
		<pubDate>Fri, 09 Mar 2007 06:44:13 +0000</pubDate>
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		<description>Let&#039;s suppose for a moment that one accepts that there are four names in common between the documented Jesus family and the ossuary inscriptions:  Jesus son of Joseph, Mary and Jose (I exclude Mariamne since, as others have noted, Mary Magdalene is not part of the known family of Jesus of Nazareth).  I think Feuerverger‚Äôs approach of multiplying the frequencies is fundamentally problematic.

Suppose by illustration, a society had exactly six names: &#039;one&#039;, &#039;two&#039;, ... &#039;six&#039;. and these names all occurred with equal frequency.  Now suppose we had documentation of a family with two brothers named &#039;six&#039; and &#039;five&#039; and then a tomb is found with ossuary inscriptions that read &#039;six&#039; and &#039;five&#039;.  Feuerverger‚Äôs approach would seem to be to take 1/6 and 1/6 and multiply them to come up with 1/36 and conclude that this is the probability of a tomb with this configuration.

The problem here is that mutliplying frequencies this way implies ORDER.  The actual probability of a two-inscription tomb containing a &#039;six&#039; and a &#039;five&#039; is more like 1/18.  (If one thinks of rolling dice, the first die could be &#039;six&#039; and the second one &#039;five&#039; or vice versa.)  (Actually, the probability is likely higher than 1/18 because in family groups names are not randomly assigned -- two brothers would not typically both have the same name.)

In the case of the Talbiot tomb, one could perhaps make a case for multiplying the frequencies for &#039;Joseph&#039; and &#039;Jesus&#039; because of the implied order.  In other words, in both the documented history and in the tomb, Joseph is the father and Jesus the son.  We would not have a match with a tomb that said &#039;Joseph son of Jesus&#039;.

However, in the case of Mary and Jose, the relationship in the tomb is not specified.  This makes use of simple multiplication absurd.

In the case of the hypothesized brother, for example, consider that the filmmakers would have claimed a &#039;match&#039; had this fourth ossuary said ANY of Joses, James, Simon or Judas.  This does not seem to be taken into account in the calculation at all.  Surely a more reasonable approach would have been to sum the frequencies of all four of these names to come up with a group frequency for this hypothesized &#039;brother&#039; ossuary.</description>
		<content:encoded><![CDATA[<p>Let&#8217;s suppose for a moment that one accepts that there are four names in common between the documented Jesus family and the ossuary inscriptions:  Jesus son of Joseph, Mary and Jose (I exclude Mariamne since, as others have noted, Mary Magdalene is not part of the known family of Jesus of Nazareth).  I think Feuerverger‚Äôs approach of multiplying the frequencies is fundamentally problematic.</p>
<p>Suppose by illustration, a society had exactly six names: &#8216;one&#8217;, &#8216;two&#8217;, &#8230; &#8217;six&#8217;. and these names all occurred with equal frequency.  Now suppose we had documentation of a family with two brothers named &#8217;six&#8217; and &#8216;five&#8217; and then a tomb is found with ossuary inscriptions that read &#8217;six&#8217; and &#8216;five&#8217;.  Feuerverger‚Äôs approach would seem to be to take 1/6 and 1/6 and multiply them to come up with 1/36 and conclude that this is the probability of a tomb with this configuration.</p>
<p>The problem here is that mutliplying frequencies this way implies ORDER.  The actual probability of a two-inscription tomb containing a &#8217;six&#8217; and a &#8216;five&#8217; is more like 1/18.  (If one thinks of rolling dice, the first die could be &#8217;six&#8217; and the second one &#8216;five&#8217; or vice versa.)  (Actually, the probability is likely higher than 1/18 because in family groups names are not randomly assigned &#8212; two brothers would not typically both have the same name.)</p>
<p>In the case of the Talbiot tomb, one could perhaps make a case for multiplying the frequencies for &#8216;Joseph&#8217; and &#8216;Jesus&#8217; because of the implied order.  In other words, in both the documented history and in the tomb, Joseph is the father and Jesus the son.  We would not have a match with a tomb that said &#8216;Joseph son of Jesus&#8217;.</p>
<p>However, in the case of Mary and Jose, the relationship in the tomb is not specified.  This makes use of simple multiplication absurd.</p>
<p>In the case of the hypothesized brother, for example, consider that the filmmakers would have claimed a &#8216;match&#8217; had this fourth ossuary said ANY of Joses, James, Simon or Judas.  This does not seem to be taken into account in the calculation at all.  Surely a more reasonable approach would have been to sum the frequencies of all four of these names to come up with a group frequency for this hypothesized &#8216;brother&#8217; ossuary.</p>
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		<title>By: Matt Jones&#8217; Random Acts of Verbiage &#187; The Lost Tomb of Jesus: Really?</title>
		<link>http://magicstatistics.com/2007/03/01/our-bulging-how-not-to-do-statistics-file-just-filled-up-and-burst/comment-page-1/#comment-10800</link>
		<dc:creator>Matt Jones&#8217; Random Acts of Verbiage &#187; The Lost Tomb of Jesus: Really?</dc:creator>
		<pubDate>Thu, 08 Mar 2007 23:45:14 +0000</pubDate>
		<guid isPermaLink="false">http://magicstatistics.com/2007/03/01/our-bulging-how-not-to-do-statistics-file-just-filled-up-and-burst/#comment-10800</guid>
		<description>[...] Now we have the names and the statistics. Their conclusion is &#8220;that the probability factor is 600 to 1 in favor of this tomb being the tomb of Jesus of Nazareth and his family.&#8221; Others, once again, have looked at the stats, I point you especially to Magic Statistics:  Our bulging ‚ÄúHow not to do statistics‚Äù file just filled up and burst and a follow up at Back of the Envelope: A little statistics and the tomb of Jesus (which also discusses the issue of Mary Magdalene) as well as Darrell Bock: Fun with Numbers, Key Stats Reconsidered. They aren&#8217;t very impressed. Even the statistical consultant to the film Dr. Andrey Feuerverger think the film didn&#8217;t lead people to the right conclusions about his statistics. He also noted one thing that I was thinking about: There are certain additional facts regarding this archeological find which are of interest, but the precise ways in which they may or may not enter into statistical computations are debatable. Examples of these include [Ed. Note: I only include one of his examples]: [...]</description>
		<content:encoded><![CDATA[<p>[...] Now we have the names and the statistics. Their conclusion is &#8220;that the probability factor is 600 to 1 in favor of this tomb being the tomb of Jesus of Nazareth and his family.&#8221; Others, once again, have looked at the stats, I point you especially to Magic Statistics:  Our bulging ‚ÄúHow not to do statistics‚Äù file just filled up and burst and a follow up at Back of the Envelope: A little statistics and the tomb of Jesus (which also discusses the issue of Mary Magdalene) as well as Darrell Bock: Fun with Numbers, Key Stats Reconsidered. They aren&#8217;t very impressed. Even the statistical consultant to the film Dr. Andrey Feuerverger think the film didn&#8217;t lead people to the right conclusions about his statistics. He also noted one thing that I was thinking about: There are certain additional facts regarding this archeological find which are of interest, but the precise ways in which they may or may not enter into statistical computations are debatable. Examples of these include [Ed. Note: I only include one of his examples]: [...]</p>
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		<title>By: Magic Statistics - &#8220;I accept no responsibility for statistics, which are a form of magic beyond my comprehension.&#8221; &#8212; Robertson Davies &#187; Jesus Tomb statistician backtracks from original claim</title>
		<link>http://magicstatistics.com/2007/03/01/our-bulging-how-not-to-do-statistics-file-just-filled-up-and-burst/comment-page-1/#comment-10124</link>
		<dc:creator>Magic Statistics - &#8220;I accept no responsibility for statistics, which are a form of magic beyond my comprehension.&#8221; &#8212; Robertson Davies &#187; Jesus Tomb statistician backtracks from original claim</dc:creator>
		<pubDate>Tue, 06 Mar 2007 05:50:48 +0000</pubDate>
		<guid isPermaLink="false">http://magicstatistics.com/2007/03/01/our-bulging-how-not-to-do-statistics-file-just-filled-up-and-burst/#comment-10124</guid>
		<description>[...] Our bulging &#8220;How not to do statistics&#8221; file just filled up and burst [...]</description>
		<content:encoded><![CDATA[<p>[...] Our bulging &#8220;How not to do statistics&#8221; file just filled up and burst [...]</p>
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		<title>By: Back of the Envelope</title>
		<link>http://magicstatistics.com/2007/03/01/our-bulging-how-not-to-do-statistics-file-just-filled-up-and-burst/comment-page-1/#comment-10092</link>
		<dc:creator>Back of the Envelope</dc:creator>
		<pubDate>Sun, 04 Mar 2007 04:41:05 +0000</pubDate>
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		<description>&lt;strong&gt;A little statistics and the tomb of Jesus...&lt;/strong&gt;

Have you been following the story of the Tomb of Jesus?  I haven&#039;t been following it in detail, I&#039;ll admit, just reading the odd blog post here and ...</description>
		<content:encoded><![CDATA[<p><strong>A little statistics and the tomb of Jesus&#8230;</strong></p>
<p>Have you been following the story of the Tomb of Jesus?  I haven&#8217;t been following it in detail, I&#8217;ll admit, just reading the odd blog post here and &#8230;</p>
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		<title>By: StatGuy</title>
		<link>http://magicstatistics.com/2007/03/01/our-bulging-how-not-to-do-statistics-file-just-filled-up-and-burst/comment-page-1/#comment-10085</link>
		<dc:creator>StatGuy</dc:creator>
		<pubDate>Sat, 03 Mar 2007 22:43:48 +0000</pubDate>
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		<description>Thanks for the comments.

Jeremy and Donald, the points you raise concerning the rest of Jesus&#039; family named in the NT are very good.  Why were ossuaries with their names not also discovered in the tomb?  And who are the otherwise unknown others whose names &lt;em&gt;were&lt;/em&gt; were found therein?

There are ways of taking those problems into account in estimating statistical probabilities, but Dr Feuerverger did not do that.  If he had, though, his calculation wouldn&#039;t look like a five-minute back-of-the-envelope job.</description>
		<content:encoded><![CDATA[<p>Thanks for the comments.</p>
<p>Jeremy and Donald, the points you raise concerning the rest of Jesus&#8217; family named in the NT are very good.  Why were ossuaries with their names not also discovered in the tomb?  And who are the otherwise unknown others whose names <em>were</em> were found therein?</p>
<p>There are ways of taking those problems into account in estimating statistical probabilities, but Dr Feuerverger did not do that.  If he had, though, his calculation wouldn&#8217;t look like a five-minute back-of-the-envelope job.</p>
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		<title>By: Donald S. Crankshaw</title>
		<link>http://magicstatistics.com/2007/03/01/our-bulging-how-not-to-do-statistics-file-just-filled-up-and-burst/comment-page-1/#comment-10068</link>
		<dc:creator>Donald S. Crankshaw</dc:creator>
		<pubDate>Sat, 03 Mar 2007 03:00:37 +0000</pubDate>
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		<description>There are several things that strike me as odd about this calculation.  The first may be a simple misunderstanding on my part, but isn&#039;t Yose an alternate spelling for Joseph?  If that is the case, is there good reason to believe that the Joseph that Jesus is the son of is _not_ Yose.  If that&#039;s the case, the presence of Yose is most definitely not an independent variable, and should not be included in the probability calculation.  Finding Joseph, Jesus the son of Joseph, and Judah the son of Jesus all in the same tomb really only gives us one independent variable, Jesus son of Joseph, to connect to the Jesus of the Bible.  If, for some reason, it is unlikely that Yose and Joseph are the same person, they are still related names, and having a Yose and a Joseph in the same family are still not independent probabilities.

Second, if I understand correctly, in this tomb there were way more than these four people, something on the order of thirty-five.  Why were just these names chosen?  Let&#039;s redo the odds, except I just calculate that in a tomb of thirty-five random first century Jews, there will be (at least) one Mariamne, one Mary, one Yose, and one Jesus son of Joseph.  
At least 1 Mariamne: 10.38%
At least 1 Mary: 99.07%
At least 1 Yose: 58.77%
At least 1 Jesus son of Joseph: 8.81%

Assuming that the presence of Yose is an independent variable, the probability of finding all four in a tomb is 0.54%.  If it&#039;s not, then the odds are closer to 1%.

Now, if you want to prove something, show me that these people are connected in the way proposed by this presentation.  Then, the odds start to work out the way they suggest.</description>
		<content:encoded><![CDATA[<p>There are several things that strike me as odd about this calculation.  The first may be a simple misunderstanding on my part, but isn&#8217;t Yose an alternate spelling for Joseph?  If that is the case, is there good reason to believe that the Joseph that Jesus is the son of is _not_ Yose.  If that&#8217;s the case, the presence of Yose is most definitely not an independent variable, and should not be included in the probability calculation.  Finding Joseph, Jesus the son of Joseph, and Judah the son of Jesus all in the same tomb really only gives us one independent variable, Jesus son of Joseph, to connect to the Jesus of the Bible.  If, for some reason, it is unlikely that Yose and Joseph are the same person, they are still related names, and having a Yose and a Joseph in the same family are still not independent probabilities.</p>
<p>Second, if I understand correctly, in this tomb there were way more than these four people, something on the order of thirty-five.  Why were just these names chosen?  Let&#8217;s redo the odds, except I just calculate that in a tomb of thirty-five random first century Jews, there will be (at least) one Mariamne, one Mary, one Yose, and one Jesus son of Joseph.<br />
At least 1 Mariamne: 10.38%<br />
At least 1 Mary: 99.07%<br />
At least 1 Yose: 58.77%<br />
At least 1 Jesus son of Joseph: 8.81%</p>
<p>Assuming that the presence of Yose is an independent variable, the probability of finding all four in a tomb is 0.54%.  If it&#8217;s not, then the odds are closer to 1%.</p>
<p>Now, if you want to prove something, show me that these people are connected in the way proposed by this presentation.  Then, the odds start to work out the way they suggest.</p>
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		<title>By: Jeremy Pierce</title>
		<link>http://magicstatistics.com/2007/03/01/our-bulging-how-not-to-do-statistics-file-just-filled-up-and-burst/comment-page-1/#comment-10065</link>
		<dc:creator>Jeremy Pierce</dc:creator>
		<pubDate>Fri, 02 Mar 2007 21:59:48 +0000</pubDate>
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		<description>&lt;i&gt;The first assumption is that the tomb of Jesus and his family exists.&lt;/i&gt;

I would unpack that a little. The analysis assumes that there is a tomb that Jesus and his family were together buried in and that such tomb is extant.

Other elements that seem to me to decrease the probability:

4. No one in Jesus&#039; family that we know of was named Matthew, and several important names we do know in his family are not here, including James/Jacob and Simeon/Simon. James was even known to have spent his whole life in Jerusalem and seems to have died there, so why wouldn&#039;t he be in this tomb? This does change the calculations considerably.

5. What is the likelihood that Jesus&#039; family was buried near Jerusalem (rather than Galilee) and in the same tomb with him if all along they&#039;d been pretending that his body wasn&#039;t around?

6. Doesn&#039;t the calculation assume more than just the combination of names but a particular spousal relation between this Jesus and one of the women and between this Joseph and the other of the women? We do not know that, but I think the numbers assume we do.

7. To assume this Mariadne might be Mary Magdalene, other judgments were made that some have questioned, which might mean their unlikeliness should be factored in. One involves the connection between one of her names and the meaning &quot;master&quot;.

8. If this theory is correct, then something extremely unlikely must have happened. Lots of people who knew full well that Jesus&#039; body was sitting in a tomb somewhere were dying for a belief that he was raised from the dead and had ascended to heaven. That is unlikely enough that any calculations as to the likelihood of this combination of names appearing needs to be help up against the considerable probability that Jesus, if his body still existed somewhere, would not have been with bodies of anyone related to the people who were going around advertizing him as having been resurrected and ascended.</description>
		<content:encoded><![CDATA[<p><i>The first assumption is that the tomb of Jesus and his family exists.</i></p>
<p>I would unpack that a little. The analysis assumes that there is a tomb that Jesus and his family were together buried in and that such tomb is extant.</p>
<p>Other elements that seem to me to decrease the probability:</p>
<p>4. No one in Jesus&#8217; family that we know of was named Matthew, and several important names we do know in his family are not here, including James/Jacob and Simeon/Simon. James was even known to have spent his whole life in Jerusalem and seems to have died there, so why wouldn&#8217;t he be in this tomb? This does change the calculations considerably.</p>
<p>5. What is the likelihood that Jesus&#8217; family was buried near Jerusalem (rather than Galilee) and in the same tomb with him if all along they&#8217;d been pretending that his body wasn&#8217;t around?</p>
<p>6. Doesn&#8217;t the calculation assume more than just the combination of names but a particular spousal relation between this Jesus and one of the women and between this Joseph and the other of the women? We do not know that, but I think the numbers assume we do.</p>
<p>7. To assume this Mariadne might be Mary Magdalene, other judgments were made that some have questioned, which might mean their unlikeliness should be factored in. One involves the connection between one of her names and the meaning &#8220;master&#8221;.</p>
<p>8. If this theory is correct, then something extremely unlikely must have happened. Lots of people who knew full well that Jesus&#8217; body was sitting in a tomb somewhere were dying for a belief that he was raised from the dead and had ascended to heaven. That is unlikely enough that any calculations as to the likelihood of this combination of names appearing needs to be help up against the considerable probability that Jesus, if his body still existed somewhere, would not have been with bodies of anyone related to the people who were going around advertizing him as having been resurrected and ascended.</p>
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		<title>By: Kevin</title>
		<link>http://magicstatistics.com/2007/03/01/our-bulging-how-not-to-do-statistics-file-just-filled-up-and-burst/comment-page-1/#comment-10058</link>
		<dc:creator>Kevin</dc:creator>
		<pubDate>Fri, 02 Mar 2007 07:39:22 +0000</pubDate>
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		<description>Good work, Scott.
I like this other statement from the CTV article:

&quot;John Marshall, a religious studies professor at the University of Toronto, said he&#039;d like to know how a family from Galilee would have ended up being buried in Jerusalem.&quot;

Since the movie Titanic, people should know that James Cameron does not do history well.  He is not good with facts.  But the strange thing is that there are people out there who are foolish enough to believe every word of this kind of junk.</description>
		<content:encoded><![CDATA[<p>Good work, Scott.<br />
I like this other statement from the CTV article:</p>
<p>&#8220;John Marshall, a religious studies professor at the University of Toronto, said he&#8217;d like to know how a family from Galilee would have ended up being buried in Jerusalem.&#8221;</p>
<p>Since the movie Titanic, people should know that James Cameron does not do history well.  He is not good with facts.  But the strange thing is that there are people out there who are foolish enough to believe every word of this kind of junk.</p>
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