Source: Skeptical Inquirer, 21(6), November/December 1997, p. 24-29.
The so-called Mars effect has haunted science for forty years now, but there's a light at the end of the tunnel. It may have been an illusion after all.
The Mars effect hypothesis was first published by the French psychologist Michel Gauquelin in 1955. It says that Mars occupies certain positions in the sky more often at the birth of sports champions than at the birth of ordinary people. More precisely, the celestial path along which Mars travels from rising to setting is divided into six equal parts, called sectors. Sector 1 starts where Mars rises; sector 4 starts when Mars crosses the north-south meridian (the mid-heaven); and sector 6 ends with Mars setting on the horizon. The key sectors are sectors 1 and 4. The time that Mars is below the horizon is similarly divided into sectors 7 through 12. Gauquelin claimed that among outstanding sports champions the Mars rate - percentage born in key sectors - was not around the base rate of the population at large, namely 17 percent, but rather more like 22 percent.
Gauquelin had more such hypotheses. They all involved sectors 1 and 4 and various combinations of planets and professions (note A). If these findings could be reliably reproduced, then they might herald a major overhaul of science, even though they were devoid of any practical importance whatsoever. These planetary hypotheses are unrelated to the very real phenomenon that the birth days of proficient sports people tend to be distributed very nonuniformly across the seasons (Dudink 1994). Indeed, Mars rise can occur any time of the day, independent of season.
German astrologer Peter Niehenke (1994) has called these planetary effects invaluable scientific facts, quoting the German psychologist Suitbert Ertel, who stated that Gauquelin's findings are just like any other empirico-theoretical scientific structure that has been proved true in history. The British psychologist Hans Jürgen Eysenck thought that Gauquelin's results are the only reason not to reject astrology completely (Gauquelin 1988). Astrologer Robert Hand has stated that the Gauquelin findings are 'one of the strongest threats to mechanist-materialism in existence' (Mann 1987), and A. Mather is on record with, 'It is probably not putting it too strongly to say that everything hangs on it' (Mather 1979).
Gauquelin's hypothesis has been tested several times. The first such test was undertaken by the Belgian Para Committee (Comité Para) in 1967. They let astrologer Luc de Marré collect birth data (dates, places, times) of 62 Belgian soccer players, and Gauquelin collected data of 473 French champions, many of whom were already known to Gauquelin and even published by him in 1955. In 1976 the final result was announced. Out of the 535 champions, 119 (22.24 percent) were born in a key sector. The Para Committee, however, was not convinced. They considered the result to be merely a rejection of Gauquelin's method for computing the base rate, which they thought invalid.
To get the exact base rate for the population at large is not so simple. One might naively think that two sectors out of twelve make for a 16.67 percent base rate, but there are various small effects that raise this number somewhat. In the columns of Leonardo and The Humanist, a lively discussion on astrology in general and this subject in particular had been going on since 1973. In 1976, after the publication of the Para Committee test results, statistician Marvin Zelen proposed in The Humanist a test to settle this matter (Zelen 1976). The test involved collecting data about a huge number of 'ordinary people'. The Gauquelins (Michel and his wife Françoise) agreed to perform the proposed test under controlled conditions.
The results of the 'Zelen test', as it is known, were published by the Gauquelins in The Humanist in late 1977 (Gauquelin and Gauquelin 1977). They showed that the base rate for the general population was close to 17 percent after all. This meant that the effect was either genuine or due to data-handling errors. In their adjoining commentary on the Zelen test results, Zelen, Paul Kurtz, and George Abell pointed out possible compromises to the representativeness of the sports champion sample used by the Gauquelins as a result of their deviating from the test protocol (Zelen et al. 1977) (note B). Hence a completely new test with entirely fresh data was called for. This new test was the famous U.S. test of the Mars Effect for American sports champions, the results of which were published in the SKEPTICAL INQUIRER (Kurtz et al. 1979-80). The bottom line was that out of 408 champions only 55 (13.48 percent) were born in a Mars key sector.
This test generated a lot of discussions, and discussions about discussions almost ad infinitum and certainly ad nauseam. In the process Zelen et al.'s mildly critical comment on the results of the Zelen test was transmogrified into an urban legend about a major coverup by dastardly CSICOP. (Zelen was a fellow of the newly founded Committee for the Scientific Investigation of Claims of the Paranormal, along with Kurtz and Abell.) A story by Michel Rouzé on the U.S. test in the French science magazine Science & Vie in March 1981 drew a response from Michel Gauquelin, which finally led in 1982 to the publication of a research protocol yet another test to be performed, this time by the French skeptical committee CFEPP (Comité Français pour l'Etude des Phénomènes Paranormaux).
The French skeptics eventually found that out of 1,120 champions, with 209 (18.66 percent) were born in a key sector (Benski et al., 1996). (note 1) The protocol had stipulated that the base rate be determined in the manner of the Zelen test. (note 2) However, the CFEPP was exhausted and could not collect any more data, let alone many thousands of birth times (24,000 from Paris alone!), to serve as a comparison. After consultation with Michel Gauquelin another method was proposed, namely, random coupling of years, dates, places, and times to generate a set of artificial records. This method had been already considered by the Para Committee in 1970. It yields 17.70 percent as base rate. The difference with 18.66 percent is trivial. It should be emphasized that the French test covered a population that had been investigated three times before by Gauquelin and the Para Committee, in 1955, 1967, and 1979.
The value of the French test is its protocol. The test determined what remains of the Mars effect when one starts entirely from scratch, without the help of Gauquelin, and the answer is: nothing.
Such tests have an enormous error potential. The sports dictionaries from which the champions' names are taken contain errors and selection errors can only be avoided by having two dedicated workers or teams do the whole job independently in duplicate. Before a champion's name ends up with his or her Mars position in the final database many more errors are made. At least, that has been my experience while checking all details of the CFEPP investigation. Even after the book was published, I found some errors. The most intractable error was CFEPP's miscalculation of the base rate (they had 18.20 percent instead of 17.70 percent). A suboptimal placement of a single instruction in their backup randomization program had slowed the speed of convergence.
The CFEPP protocol called for consultation with Gauquelin in all stages of the research
(thus allowing him an indirect advisory role). So the CFEPP's lack of internal checks
shouldn't have been a serious matter. But here something went wrong as well. Because of
communication problems within the CFEPP, Gauquelin was informed only when all data had
been gathered. However, he was then (in 1990) given ample opportunity to comment on their
Regrettably, Gauquelin's proposals to amend the CFEPP's database revealed a severe selection bias on his part. I did a comparison of Gauquelin's database (his published data as well as copies of his files as collected by Suitbert Ertel) and the CFEPP's data. There were 132 discrepancies between the two databases. By 'discrepancy' I mean that either the date or time of birth of a champion was different. For each of these 132 cases, I also compared the Mars sector calculated for the champions by Gauquelin and by the CFEPP. (note 3) Some of the discrepancies, of course, resulted in different Mars sector computations; others did not. I divided the 132 discrepancy cases into: 1) those born in a key sector according to Gauquelin but not born in a key sector according to CFEPP; 2) those born in a key sector according to CFEPP but not born in a key sector according to Gauquelin; 3) and those that I call 'indifferent' - for example cases where discrepancy in time and birth did not result in different Mars sector computations; or those where the discrepancy in date or time of birth did result in different Mars sectors, but neither sector was a key sector (e.g., 2 and 11). Finally I checked which data discrepancies Gauquelin reported to the CFEPP and which he did not. (It is important to note that Gauquelin saw only the CFEPP's raw data, i.e., the data showed no Mars sectors.) All of this is summarized in Table 1.
Of the 132 discrepancies, Gauquelin reported only 39 to the CFEPP. Twenty champions were born in a key sector according to Gauquelin but not according to the CFEPP data. Gauquelin reported all 20 of these discrepancies, recommending that the CFEPP data be changed. However in the reverse situation - 17 champions were born in key sectors according to the CFEPP data, but not according to Gauquelin - Gauquelin did not report the discrepancies,
It seems an unavoidable conclusion that Gauquelin has been computing Mars positions from the raw CFEPP data, and that he based his decisions on what to report and what not on the results of these computations.
Table 1. Evidence of Bias in Gauquelin's Comments
on CFEPP Data
|132 champions whose birth data
differed in Gauquelin and CFEPP
|Born in key sector according to Gauquelin;
not born in key sector according to CFEPP
|Not born in key sector according to Gauquelin;
born in key sector according to CFEPP
Note. 'Reported' means that Gauquelin reported the discrepancy in the data and recommended the CFEPP data be changed. 'Not Reported' means Gauquelin did not mention the discrepancy at all.
Furthermore, the CFEPP had extracted 1,439 names from two sports dictionaries, but for
368 names they drew a blank at the town halls. In his comments on CFEPP data, Gauquelin
said that he could provide CFEPP with complete records in 79 cases. But again, the same
pattern prevailed: of the 368 names, Gauquelin actually had records for 173 in his files.
Of these 39 were listed as key-sector champions, and Gauquelin reported 37 of these to the
CFEPP. Of the 134 non-key-sector champions, Gauquelin reported only 42. (note 4)
Basically, the CFEPP selected everybody who had been at least individual national champion or recordholder, or who had been selected to represent France in an international contest. In some cases CFEPP erred, sometimes overlooking qualified champions and other times selecting individuals that did not qualify according to the test criteria. Again the same pattern appeared. Gauquelin only pointed out 'overlooked' champions that occurred in his own database (about half of all overlooked champions), and even then, generally only those born in key sectors, ignoring most of the ones not born in a key sector. For the 'underqualified' champions selected by the CFEPP the pattern was reversed again.
Supporters of Gauquelin have discussed the CFEPP investigation. Of course they thought the CFEPP was wrong, biased, and so on. At the same time they downplayed this evidence of Gauquelin's bias by omitting most details. Apparently they think the facts are too damning.
Some of Gauquelin's remarks about the CFEPP data were difficult to evaluate because he
doubted the data for a rather inhomogeneous group of champions. In some cases Gauquelin
surmised a confusion of identities and in others the birth towns seemed incorrect to him.
He questioned the birth dates of several champions because they differed from the
dictionary dates, even though in some cases Gauquelin's unpublished data agreed with those
found by the CFEPP. This group was small (only 17 names), but 9 did not occur in
Gauquelin's files at all. This is remarkable because almost all other remarks by Gauquelin
concerned champions that were in his files.
The reasons for doubt were mostly that the dictionaries and the town halls gave different information and in one case there was a conflict with another dictionary. Later investigations, which I won't discuss in detail, have suggested that the Mars effect correlation was stronger among champions listed in several sports dictionaries. So when Suitbert Ertel recently attacked the U.S. test by comparing it to the Para test (note 5), I decided to get to the bottom of this. In any such research an investigator may decide, at the merest hint that data may not be reliable, to discard the data. So, in the language of statistical testing, I framed a null hypothesis, namely that Gauquelin would never throw away data of champions collected by himself after he had computed their Mars position. I tested this hypothesis by looking at data collected by Gauquelin that might contain many dubious data points.
More specifically, I examined sports champions whose data (as shown by the sports book used) (note 6) were either highly ambiguous or wrong or both, namely:
(1) champions whose month of birth differed from that stated by the reference book,
including cases where the book didn't give the month;
(2) champions whose place of birth differed from that stated by the book, including cases where that place was missing or uninterpretable, for instance because of a misprint;
(3) champions whose place of birth was stated to be Paris with no further indication of arrondissement, and when there wasn't a reliable research method for determining the Paris arrondissement.
(4) champions with a place of birth with a name that is so common that it is shared with at least ten other towns. This happens only with French champions and some place names that lack an indication of département.
Henceforth, champions that satisify any of the above four conditions will be called
'difficult to find'. Any Mars effect investigation will end up with a number of such
champions and each investigator must decide how to handle such data.
The CFEPP investigation had shown that providing a town hall with wrong birth dates will often produce an answer such as: 'Sorry. We can't find this person at the given date'. If the town hall can find the requested person in its records, it will often correct the birth date, and thus provide the researcher with reasons for doubt. Writing to the wrong place will understandably often produce negative results, but then, if different sources give different information, any positive answer may produce doubt because at least one source is contradicted.
That information on Paris champions is hard to find may become clear from Gauquelin's
own publications. France contains about 18 percent Parisians, much more than the 4 percent
Parisians among Gauquelin's French champions. The sports facilities in a big city like
Paris are much better than those in small towns or the countryside, so one might expect
Paris to have a higher proportion of champions than the rest of France. The CFEPP had more
than 15 percent Parisians in their initial sample. Incidentally, it had been remarked
already in 1977 that the Mars rate among Gauquelin's Parisian chanpions was rather high,
namely 33 percent.
Professor J. Dommanget has kindly provided me with a copy of the book (note 7) used by Gauquelin to select champions for the Para Committee test of 1967. This book, the Dictionnaire des Sports published by Seghers (Seidler and Parienté 1963), contains 636 eligible French champions; and judging from marginal handwritten annotations, Gauquelin requested birth data for 589, the remainder having no identifiable birth place. Useful data were obtained in 430 cases, and the number of those 'difficult to find' was 88. Of these, 30.7 percent were born in a Mars key sector. (See Table 2.)
In 1979 Gauquelin published a new selection of European champions, taken from the successor of the Seghers dictionary, namely Dictionnaire Encyclopédique des Sports, des Sportifs et des Performances, by Bernard Le Roy (1973). Gauquelin considered all foreign champions mentioned in this work as eligible per se. Here the Mars rate among the 'difficult to find' was high too.
From this same source Gauquelin selected 224 French champions. He used rather dubious criteria. For example, people engaged in 'individual sports' were admitted only if they had at least obtained a medal in a European competition, whereas for soccer players being selected once to defend the glory of France sufficed; on the contrary, for non-soccer team sports such as rugby and handball, more than ten selections for the national team were required. And again, the 'difficult to find' yielded a high Mars rate.
Maybe the 'difficult to find' were eventually found because they were very famous, but I don't think so. There are several ways to compare fame or quality of these groups with the larger groups from which they are taken. They do not differ from these parent groups.
Table 2. 'Difficult to find' Champions among Three Groups of Data
Collected by Gauquelin
to find' born
in key sector
|Seghers / Para Committee test (1967)||430||88||27||30.7%|
|Le Roy non-French European (1979)||134||37||13||35.1%|
|Le Roy French (1979)||224||40||11||27.5%|
For comparison we may look at the 'difficult to find' in the CFEPP investigation. Some
criteria do not apply here because CFEPP excluded all candidates with ambiguous birth
places, and moreover they had a good research methodology for Paris. CFEPP volunteers
spent a lot of effort searching systematically the twenty arrondissements of Paris.
This yielded 127 champions, about three times the 44 that Gauquelin collected in
twenty-five years. Incidentally, there were a number of 'Parisians' that CFEPP couldn't
locate, probably because in many cases 'Paris' may have meant a suburb of Paris.
Among the entire set of 1,120 CFEPP champions 103 were 'difficult to find' in the technical sense defined, and of these, 15.5 percent were born in a Mars key sector. That's hardly different from the base rate. It shows that 'difficult to find' does not necessarily imply a high Mars percentage. But among these 103, there were 20 that Gauquelin must have tried to find, apparently in vain (if only while looking for the 'lesser champions' that he used as control groups, without publishing their names and data). Of these 20 only one was born in a Mars key sector.
There were other 'difficult to find' champions in the CFEPP investigation that had not been found previously by Gauquelin. Among these were 33 champions (many from Paris) who were included in Gauquelin's search for the Para Committee test, but who were never found and also not in later searches by Gauquelin. Among these 33 only two were born in a key Mars sector. As before, there's nothing specially 'inferior' about these champions. Table 3 summarizes this information.
Table 3. Two subsets of Champions Found by CFEPP
and Absent from Gauquelin's files
|No.||Born in key sector||Percent|
|'Difficult to find' for
CFEPP; apparently searched
for by Gauquelin
|Searched for by Gauquelin
in Para Committee test;
|Total (see note)||47||3||6.4%|
Note: The overlap of the two subsets is 6 champions; hence the total number of champions is 47, not 53.
The remaining newly found CFEPP champions comprise 91 people, of whom 17 (18.7 percent)
were born in a key sector. Of these 91, 60 hailed from Paris (not 'difficult to find' in
the CFEPP test). A partly overlapping set of 50 was only mentioned in L'Athlège,
hence is it is not clear to me whether Gauquelin ever tried to obtain their data, and in
the 123 remaining cases the town halls answered the CFEPP's inquiries, at most indicating
minor corrections of the CFEPP's data. (note C)
If we consider Gauquelin's 'difficlult to find' Seghers and Le Roy dictionary candidates (from Table 2) together with the champions (from Table 3) that the CFEPP found, but Gauquelin didn't find even through he tried, and that were probably 'difficult to find' for him, we get the summary shown in Table 4
Table 4. Evidence of Gauquelin Throw-Away Bias
|'Difficult to find' for
|Probably 'difficult to find'
for Gauquelin; not found
The conclusion seems reasonable that this is not the result of a chance process. It
must be left to the reader to judge whether this is merely a product of dexterous data
juggling by this author, or that 30.9 percent and 6.4 percent really differ. Readers who
are fond of post hoc significance calculations might try Fisher's exact test. (note
I believe Table 4 indicates a bias on Gauquelin's part. There's nothing wrong with throwing away unreliable data, but you shouldn't look at the Mars sector data first, and then make up your mind. This is apparently what Gauquelin did. Most of the champions in Table 3 are champions that the CFEPP, in a manner of speaking, fished out of Gauquelin's wastepaper basket.
I conjecture that Gauquelin systematically threw away 'unreliable' data of champions that weren't born in a key sector. In some cases he might have kept the data without publishing them, until he could obtain more certainty. Another point of support for my conjecture is the composition of the champions who weren't found by the CFEPP, but whose names had been found and published by Gauquelin before. There were 98 of these, and about two-thirds, 63 were 'difficult to find.' Among these there are 20 (31.7 percent) born in a Mars sector. Of course there are many of these among the Seghers champions and the French Le Roy champions mentioned above, but about half them are not.
Ertel (1988) observed already that Gauquelin's judgement about champion quality was
biased, but he tried to save the Mars effect. He said that the Mars effect was stronger
among champions that were mentioned in many different sports dictionaries. I think the
explanation is that Gauquelin's doubts were stronger if a champion occurred in more than
one source he knew, and if these sources contradicted each other. (note D)
The total of 1439 eligible champions of CFEPP can be divided into six groups:
(a) found and published by Gauquelin but not found by CFEPP;
(b) found and published by Gauquelin and found by CFEPP;
(c) not found by Gauquelin and found by CFEPP;
(d) found but not published by Gauquelin and found by CFEPP;
(e) found but not published by Gauquelin and not found by CFEPP;
(f) not found, neither by Gauquelin nor by CFEPP.
From (a) to (e) the Mars rate goes down, which makes sense if one assumes that
Gauquelin was holding back or throwing away 'dubious' data. The Mars rate of (f) cannot be
determined, but something can be said about it. Gauquelin mentioned 73 champions in this
group, but didn't mention 39 that he almost certainly must have tried to find. What was he
Ertel and Irving (1996) attack the CFEPP study on the same grounds. Ertel assumes that Gauquelin is free from any bias, but that the CFEPP was biased, for example by avoiding to choose famous champions or including droves of mediocre athletes - as if the CFEPP secretly believed Ertel's theory.
I don't think this is correct. First, there's the evidence that Gauquelin was biased in several respects. Second, Ertel doesn't mention group (e). By his count (generally his counts are erroneous) group (e) should contain 36 champions, with a Mars percentage of only 8 percent. How could a CFEPP bias bring that about? Third, I have looked at all French champions in Gauquelin's database whose names occurred in at least two sports dictionaries different from Le Roy. Altogether there were only 41 which were not selected by the CFEPP, generally for good reasons (such as unqualified, birth place missing or not at all mentioned in the CFEPP's sources, or born outside of France). Only 3 of them were born in a Mars key sector. So where are those famous champions that the CFEPP deviously excluded to suppress the Mars rate? Ertel has pointed out that the CFEPP refused to include Algerians. Ertel only looks at the Algerians in Gauquelin's database (17 qualified, with a Mars rate of 41 percent), and he ignores that the CFEPP's sources contain twice as many, namely 34. Why would a CFEPP search turn up precisely Gauquelin's Algerians? Fourth, the CFEPP's standards couldn't be much higher, as the protocol specified a minimum of a thousand champions. (note E)
Fifth, Ertel claims that group (c) consists of 'athletes for whom Gauquelin had never requested data,' and he displays prominently the low Mars rate (as computed by him) of this group. As we have seen, it is simply not true that Gauquelin never requested these data. And if a Gauquelin bias is the explanation for the low Mars rate shown in Table 3, then there is no low Mars rate left to explain for the remaining 91 members of this group.
The Mars Effect hypothesis was based on data collected by Gauquelin. The evidence for Gauquelin's massive bias is compelling. No value can be attached to the hypotheses these data gave rise to. This does not imply any willful deceit on the part of Gauquelin. The eminent physicist René Blondlot never gave up believing in his nonexistent N-rays and died 27 years after his 'discovery'. The academician Boris Deryagin acknowledged after ten years he was mistaken about polywater. Two-time Nobel laureate Linus Pauling never gave up his belief in vitamin C, even though clear clinical evidence never materialized. Even the best scientists can be trapped in illusions of their own making. Michel Gauquelin has died in 1991. His archive is gone, and no one knows what he would have said upon confrontation with his bias. Let's leave it that and move on to more fruitful research.
I would like to thank Françoise Schneider-Gauquelin for generously and promptly
providing me with Gauquelin's publications containing names of European sports champions,
Carl Koppeschaar for making Gauquelin's database (as collected by Ertel) available to me
as well as for many other things. I also would like to thank Gwen A. Burda, J. Dommanget,
Cornelis de Jager, Ivan Kelly, Jean Meeus, Lewis Jones, Paul Kurtz, Ranjit Sandhu and
Edgar Wunder for various contributions and comments. (note F)
This article is a condensed and amended version of a paper presented at the World Skeptic's Conference, June 20-23, 1996, in Amherst, New York. The full paper and all data underlying it can be obtained from the author. (note G)
(1) The numbers given in this paragraph differ from the ones in Benski et al., 1996, because only after the appearance of that book could I muster the time and energy to write (from scratch, but with the help of the excellent book by Jean Meeus ) a program to compute the rise and set of Mars with two-second precision.
(2) The Zelen test was based on weighing the control population, giving all births corresponding to a single champion birth a fixed joint weight. For the CFEPP test, all control births should have received equal weights, so the Paris controls would have constituted a large part of all controls.
(3) Gauquelin had Mars sectors computed in his files. The data made available to me by the CFEPP showed their Mars sector computations (when Gauquelin saw the CFEPP data, they did not show Mars sectors).
(4) From copies of Gauquelin's files collected by Suitbert Ertel.
(5) Ertel and Irving (1997), followed by a rejoinder by Kurtz et al. (1997). Small errors in the latter, notably in what is here Table 3, have been corrected.
(6) I investigated the Seghers dictionary (Seidler and Parienté 1963), used in the 1967 Para Committee test; the Le Roy dictionary (Le Roy 1973), used by Gauquelin in 1979 and by the CFEPP; and L'Athlège (1951), used by the CFEPP.
(7) For French champions another source was also used, namely lists published by France Football of national soccer team players up until 1962. These lists ultimately yielded 43 names with birth dates and birth times.
(8) Significance calculations are a kind of scientific bet. They only make sense if they were planned ahead of data collection. In ordinary life betting after the race is over, or placing several bets for the price of one, isn't considered fair, and in this respect science ought to be like ordinary life. (note H)
Benski, C. et al. 1996. The "Mars Effect": A French Test of Over 1000
Sports Champions. Amherst N.Y.: Prometheus.
Dudink, A. 1994. Birth date and sporting succes, Nature 368: 592.
Ertel, S. 1988. Raising the hurdle for the athletes' Mars effect: Association covaries with eminence. Journal of Scientific Exploration 2: 53-82.
Ertel, S., and K. Irving. 1996. The Tenacious Mars Effect. London: Urania Trust.
_______ . 1997. Biased data selection in Mars effect research. Journal of Scientific Exploration 11: 1-18.
Gauquelin, M. 1955. L'influence des Astres [The Influence of the Stars]. Paris: Editions du Dauphin.
_______ . 1988. Written in the Stars. Wellingborough: Aquarian Press.
Gauquelin, M., and F. Gauquelin. 1977. The Zelen test of the Mars effect. The Humanist 37 (6): 30-35.
Kurtz, P., M. Zelen, G. Abell, et al. 1979-80. Four-part report on claimed "Mars effect". SKEPTICAL INQUIRER 4 (2): 19-63.
Kurtz, P., J.W. Nienhuys, and R. Sandhu. 1997. Is the "Mars effect" genuine? Journal of Scientific Exploration 11: 19-39.
L'Athlège. 1951. Paris: Kléber.
Le Roy, Bernard. 1973. Dictionnaire Encyclopédique des Sports, des Sportifs et des Performances. Paris: Denoël.
Mann, A.T., ed. 1987. The Future of Astrology. London: Unwin.
Mather, A. 1979. Zetetic Scholar no. 3/4 (April): 96.
Meeus, J. 1991. Astronomical Algorithms. Richmond, Va.: Willman-Bell.
Niehenke, P. 1994. Astrologie - Eine Einführung. Stuttgart: Reclam.
Seidler, E., and R. Parienté. 1963. Dictionnaire des Sports. Paris: Seghers.
Zelen, M. 1976. Astrology and statistics: A challenge. The Humanist 36 (1): 32-33.
Zelen, M., P. Kurtz, and G. Abell. 1977. Is there a Mars effect? The Humanist 37 (6): 36-39.
Jan Willem Nienhuys is a mathematician in the Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, Netherlands. He is a board member of the Dutch organization Skepsis, and editor of their quarterly Skepter. This version is nearly identical with the version published in Skeptical Inquirer. Only a few minor errors (not in numbers or other data) are corrected, and the notes below are added.
A. Gauquelin listed 10 occupational classes in his 1955 book, namely medicine, sports,
militairy, painters, sculptors, actors, scientists, priests, members of parliament,
criminals and 10 astrological planets, and for each of the 100 combinations (except
Pluto-scientists) he listed the distributions in a 12 sector system and also in an 18
sector system. The combination Mars/Sports/12 sectors gave the strongest result, and two
subsequent investigations of the Mars effect (the Para test and the CFEPP test) included
many of these hypothesis forming champions.
B. Zelen originally proposed to match a sample of 100 or 200 champions not in the Para test (but published by Gauquelin in 1972) with all individuals born in the same day or week in the same geographical area. This proved too cumbersome. The Gauquelins then decided that 200 was not enough but that 300 would do, and they decided to include the Para test champions as well, and they used a non-random way to obtain their sample. They took all 303 champions who had been born in French or Belgian provincial capitals or Paris. The criticism of Zelen, Kurtz and Abell pointed out that in this way Paris was overrepresented, and that half of the overall surplus of 12 key sector champions in the non-random sample was 'Parisian'. More precisely, the sample of 303 contained 42 Parisians, of whom 13 in a key sector, where only 7 would be expected by chance. If Gauquelin would have extracted 303 random champions from his files, he would have had only 6 Parisians. Kurtz, Zelen and Abell wrote: 'If the Mars effect is real, why can it not be demonstrated over a larger geographical locality than Paris? ... The fact it could only be demonstrated for Paris is disconcerting' In later discussions and commentaries these comments have been termed as 'falsifying data'.
C. The numbers are given somewhat succinctly; here they are worked out a little more:
|champions from Table 3:||47||(key sector: 3)|
|remainder||91||(key sector: 17)|
|all:||138||(key sector: 20)|
As one can deduce from the text, these 91 are composed as follows:
|Paris, mentioned in Le Roy||28|
|Paris, not in Le Roy||32|
|not in Paris, mentioned in Le Roy||13|
|not in Paris, not in Le Roy||18|
D. An altogether different explanation is that the initial batch of champions published by Gauquelin in 1955, and mostly taken from L'Athlège, were mentioned more frequently in later dictionaries. Naturally champions born after the mid-thirties, mentioned in Le Roy, would not belong to this batch. If this is the explanation, then the citation method used by Ertel to establish sporting fame and a correlation with Mars rate is flawed, because it gives undue importance to that initial batch of hypothesis forming champions.
E. The CFEPP had a very extensive protocol, detailing exactly how ambiguity of the place of birth should be avoided, so there should be no discussion about whether a champion from any locality should be investigated or not, and also not any doubt about whether the search for a birth place of a champion had been thorough enough. Place names should be mentioned in one of three specified directories for French municipalities, CFEPP's research plan said. Moreover CFEPP used two methods to determine the exact location of these places of birth, and investigated every single case where these methods yielded different results. The town halls all received exactly the same letter requesting both the time of birth and the time that the birth was reported to the town hall. In his comments in 1990 and 1991, Gauquelin proposed that 'overseas' champions be included, and that their data could be simply obtained by writing to the central registry in Nantes. Ertel has argued that CFEPP couldn't have been so exhausted that they were unable to muster the effort of writing a single letter, and that this by implication shows the bad faith of CFEPP. However, it would have been a lot more work than just writing a letter, because the names should have to be extracted first from the handbooks, in exactly the same manner as the other names had been obtained around 1985. Most important, something should have been agreed on to replace the requirement that the place of birth be mentioned in a directory of French municipalities, the geographical location and possibly the time zone should also be established and so on. CFEPP's secretary and Gauquelin had plans for further meetings and negotations, but Gauquelin's death made these impossible. In essence Ertel blames CFEPP for not making a serious breach of protocol, a protocol intended specifically to prevent any possibility of wanton inclusion or exclusion of champions.
F. I would like to use this opportunity to single out Gwen A. Burda, then managing editor of Skeptical Inquirer, who not only vastly improved my English, but whose many critical comments resulted in substantial improvements in the contents.
G. The email address of the author is: firstname.lastname@example.org. Any difference between the numbers in the 1996 paper and the text of the Skeptical Inquirer means the latter text is correct.
H. To save readers the trouble of computing Fisher's exact test, it yields a two-tailed p-value of 0.00045, i.e., 0.045 percent.