On Mathematical Studies of the recall vote part II: Exit Polls

August 26, 2004

The present study was performed by two Venezuelans who are Professors in the Department of Applied Mathematics and Statistics at the University of California at Santa Cruz, Bruno Sanso and Raquel Prado. You can find their full study here in postscript format or here in acrobat (Thanks Alfredo and Ed). I will try to summarize it as well as I can, hopefully the authors will read what I write and correct any imprecisions in my summary, which follows what they wrote.


What they have done is to look at the exit polls of Sumate and Primero Justicia and compare them to the actual results for the vote at the same voting centers where the exit polls were made. They had 527 exit polls with 36,629 interviews, 269 from Sumate and 258 from Primero Justicia. They eliminated the exit polls with less than 20 people and worked in the end with 475 centers after excluding the also those centers in which the count was manual, because the CNE data was incomplete.


 


The first figure below shows the histogram of Si voters according to the CNE in the top panel and in the bottom panel the same histogram for the Si votes according to the exit poll data:


 


 


 



                     Top Figure: Proportion according to the results of the CNE (Actas)


 



 


                   Bottom Figure: Proportions according to the exit polls


 


Note the difference between the two not only in where the main frequency is, but they seems to have different symmetries and the detail f the distributions are different.


 


To study this further, they did the following study: Suppose that the sample obtained in a single voting center corresponds to a population of binary experiments. The probability of obtaining a SI is taken to be the same as the proportion calculated from the final results (Actas) of each center according to the CNE. They then calculate the probability that under such a probabilistic model, they could observe the same number of SI votes that were obtained in the exit poll.


 


This result is shown in the next figure.  As can be seen, the range is of probabilities is between zero and 0.23 with roughly 40% of them ranging between zero and 0.02. This implies that the probability of obtaining the results of the exit polls based on the results of the CNE is extremely low.



 


To check these discrepancies further, the authors looked instead at each voting center. For each center the simulated 5,000 runs of the same size as that obtained in the exit poll. They then calculated the proportions of Si in each sample and took the values that were above 2.5% and 97.5% respectively. In this way they obtain the interval in which 95% of their simulations. They conclude that there are significant differences between the results for the CNE and the exit polls for each specific center  if the proportion obtained in the exit poll is not contained in that interval.


 


From the above, they calculate the results state by state.  The bleu points are the proportions of the exit polls that fall outside the interval. The black points fall within the interval. Below I show only the results for the Capital District and Zulia state, the rest of the states are in the presentation.


 


                       Capital 55% discrepancies                                           Zulia 66% discrepancies


 


 


 


 


 


This is not a global analysis; it is center by center analysis so that the design of the sample for the exit poll is not relevant.


 


The discrepancies between the estimated Si votes in exit polls and those from the results are quite significant in at leas 60% of the centers. This difference is present in ALL states. (Also in the centers with manual votes not included in the results). The differences can not be explained by randomness. The only possible conclusion is that either the exit polls had a bias towards the SI or the CNE final results had a biased in favor of the NO


 


Someone could argue that the difference could be due to people not answering. In a center with a sample of 60 voters with a proportion of Si to NO of 60/40, the number of people not answering required to turn the results around completely would have to be 50 people ALL IN FAVOR OF THE NO. This would have had to occur in many centers simultaneously.


 


Another possibility is that since the exit polls were only carried out until 4PM a massive number of people would have voted NO after that time. In a center with 2,000 voters in which 600 had voted SI by 4 PM and 400 NO by 4 PM, this would require that of say 1,000 voters after 4 PM only 20% voted for the SI and 80% for the NO. This would have had to happen all over the country.


On Mathematical Studies of the recall vote part II: Exit Polls

August 26, 2004

The present study was performed by two Venezuelans who are Professors in the Department of Applied Mathematics and Statistics at the University of California at Santa Cruz, Bruno Sanso and Raquel Prado. You can find their full study here in postscript format or here in acrobat (Thanks Alfredo and Ed). I will try to summarize it as well as I can, hopefully the authors will read what I write and correct any imprecisions in my summary, which follows what they wrote.


What they have done is to look at the exit polls of Sumate and Primero Justicia and compare them to the actual results for the vote at the same voting centers where the exit polls were made. They had 527 exit polls with 36,629 interviews, 269 from Sumate and 258 from Primero Justicia. They eliminated the exit polls with less than 20 people and worked in the end with 475 centers after excluding the also those centers in which the count was manual, because the CNE data was incomplete.


 


The first figure below shows the histogram of Si voters according to the CNE in the top panel and in the bottom panel the same histogram for the Si votes according to the exit poll data:


 


 


 



                     Top Figure: Proportion according to the results of the CNE (Actas)


 



 


                   Bottom Figure: Proportions according to the exit polls


 


Note the difference between the two not only in where the main frequency is, but they seems to have different symmetries and the detail f the distributions are different.


 


To study this further, they did the following study: Suppose that the sample obtained in a single voting center corresponds to a population of binary experiments. The probability of obtaining a SI is taken to be the same as the proportion calculated from the final results (Actas) of each center according to the CNE. They then calculate the probability that under such a probabilistic model, they could observe the same number of SI votes that were obtained in the exit poll.


 


This result is shown in the next figure.  As can be seen, the range is of probabilities is between zero and 0.23 with roughly 40% of them ranging between zero and 0.02. This implies that the probability of obtaining the results of the exit polls based on the results of the CNE is extremely low.



 


To check these discrepancies further, the authors looked instead at each voting center. For each center the simulated 5,000 runs of the same size as that obtained in the exit poll. They then calculated the proportions of Si in each sample and took the values that were above 2.5% and 97.5% respectively. In this way they obtain the interval in which 95% of their simulations. They conclude that there are significant differences between the results for the CNE and the exit polls for each specific center  if the proportion obtained in the exit poll is not contained in that interval.


 


From the above, they calculate the results state by state.  The bleu points are the proportions of the exit polls that fall outside the interval. The black points fall within the interval. Below I show only the results for the Capital District and Zulia state, the rest of the states are in the presentation.


 


                       Capital 55% discrepancies                                           Zulia 66% discrepancies


 


 


 


 


 


This is not a global analysis; it is center by center analysis so that the design of the sample for the exit poll is not relevant.


 


The discrepancies between the estimated Si votes in exit polls and those from the results are quite significant in at leas 60% of the centers. This difference is present in ALL states. (Also in the centers with manual votes not included in the results). The differences can not be explained by randomness. The only possible conclusion is that either the exit polls had a bias towards the SI or the CNE final results had a biased in favor of the NO


 


Someone could argue that the difference could be due to people not answering. In a center with a sample of 60 voters with a proportion of Si to NO of 60/40, the number of people not answering required to turn the results around completely would have to be 50 people ALL IN FAVOR OF THE NO. This would have had to occur in many centers simultaneously.


 


Another possibility is that since the exit polls were only carried out until 4PM a massive number of people would have voted NO after that time. In a center with 2,000 voters in which 600 had voted SI by 4 PM and 400 NO by 4 PM, this would require that of say 1,000 voters after 4 PM only 20% voted for the SI and 80% for the NO. This would have had to happen all over the country.


Gaviria and the OAS on Venezuela

August 25, 2004

While leaving a door open for the charges of fraud OAS Secretary General Cesar Gaviria expressed this wholesale condemnation of the board of the CNE:


“it ended up deciding on the basis of party lines all of the time and that is something that damages somewhat in the face of public opinion, it was always the same three people that took the same position and they represented the party that backed the Government and that may the work difficult and took weight off what they were deciding”


 


Interesting words for a diplomat, not very diplomatic in the end but the truth. That is how mot of our democracy has worked in Venezuela in the last five years.  Little is discussed; everything that matters and is important is in the end approved by the Chavista majority.


 


Curiously, the resolution (wich needs a consensus) on the recall vote has not been approved and may never be approved and may be replaced by a declaration.  (needs a majority)


US News on Exit Polls

August 25, 2004

People are quick to dismiss the importance or significance of Exit Polls. Michael Barone wrote this article yesterday in US News and world Report about exit polls and the results of the recall vote. Exit Polls are statistical animals, as such, they have statistical properties that can be measured and tested. What the exit polls are saying about the Aug. 15th. results is that something is very inconsistent somewhere and they can’t be dismissed easily. Hope to post the results soon.


US News on Exit Polls

August 25, 2004

People are quick to dismiss the importance or significance of Exit Polls. Michael Barone wrote this article yesterday in US News and world Report about exit polls and the results of the recall vote. Exit Polls are statistical animals, as such, they have statistical properties that can be measured and tested. What the exit polls are saying about the Aug. 15th. results is that something is very inconsistent somewhere and they can’t be dismissed easily. Hope to post the results soon.


Next step in Venezuela

August 25, 2004

Not much time to write tonight, in case you have not seen Alvaro Vargas LLosa’s article today here it is, don’t agree with many things in it, but…


 


Next steps in Venezuela
Alvaro Vargas Llosa
Wednesday, August 25, 2004

I witnessed the recall referendum firsthand in Venezuela on Aug. 15, and I would suggest that, despite its taking place under very intimidating circumstances and a high degree of government control, it cannot be denied that President Hugo Chávez had enough real popular support to withstand the effort to oust him at the polls. Major soul-searching is now required among Chávez’s foes if they want their efforts to bear fruit in the future.



Let there be no doubt about the nature of that regime. Had it not been for the efforts of more than 3 million Venezuelans who have, through civil resistance, made life difficult for Chávez, Venezuela, the world’s fifth largest oil producer and the U.S.’s third largest supplier, would be on its way to becoming a semi-totalitarian state. After coming to power in 1999, Chávez threw away the constitution and used referendums and ad-hoc elections to replace the standing institutions with a loyal National Assembly, a government-controlled Supreme Court and a subservient electoral tribunal. With the use of thugs — the infamous “Bolivarian Circles” modeled on the Cuban “Committees of the Revolution” — he has intimidated opponents. Two violent incidents with many fatalities have produced no indictments, and there are political prisoners, such as Henrique Capriles, the mayor of Baruta Municipality accused of organizing a demonstration against the Cuban embassy (I tried unsuccessfully to visit him at the headquarters of the DISIP, the feared state-security apparatus).


 


Still, as Chávez proved, he has a considerable social base. Various factors come into play here. By far the most important is the hatred of all things related to the old regime, known as “el puntofijismo,” the name given to the agreements signed by the major parties in 1958 that inaugurated four decades of corrupt democracy in Venezuela. A coterie of private interests tied to the state and, particularly, to the oil industry (nationalized in the 1970s), enjoyed the spoils of a system that deprived the masses of access to capital. The military, bribed with oil money, stayed out of politics, and the people received what little the unproductive system of redistribution could channel to them.



He has also been able — and this is the second factor in his victory Aug. 15 — to unleash a torrent of oil money on the slums of Venezuela through a network of social services he calls "missions" that provide everything from food to educational scholarships. The effort is based on handouts, not on job-creating investments. In fact, the economy is in shambles, having registered a 10 percent drop in GDP in 2003, according to the International Monetary Fund. Thousands of small-sized businesses have closed down. But as long as the oil prices permit Chávez to obtain $20 billion a year, he can fund his populism.\
The last factor in his victory lies with the opposition itself. Acción Democrática and Copei, the two parties that embody the "puntofijismo" era, are dominant, together with other relics such as MAS, despite the presence of new, promising groups, such as Primero Justicia. The opposition made huge mistakes, such as the attempted coup in 2002 and the oil strike in early 2003, that made Chávez the victim and blurred the fact that during his government alone, 5 million people have joined the ranks of the poor. The strike also gave Chávez the pretext to purge the state oil company of all vestiges of independent management. He then turned it into a source of funding for many radical groups in Latin America, from the "piqueteros" in Argentina to the MAS in Bolivia.\
“,1]
);

//–>

One figure says it all: In the last quarter-century of that era, Venezuela accumulated some $300 billion in oil revenue (based on official government data), more than two thirds of Latin America‘s foreign debt in the early1990s. Little of that was used to develop the country, and the people became convinced the rich, white upper classes had stolen their wealth. Chávez, a man of Native American and African descent, was a child of that deeply felt resentment. Rather than dismantle the apparatus that had impoverished the people, he took it to the extreme. That is why he became unpopular after his first two years in office. But since then, the polarization of Venezuelan society has allowed Chávez to position himself again as the champion of the poor against the remnants of the old regime.



He has also been able — and this is the second factor in his victory Aug. 15 — to unleash a torrent of oil money on the slums of
Venezuela through a network of social services he calls “missions” that provide everything from food to educational scholarships. The effort is based on handouts, not on job-creating investments. In fact, the economy is in shambles, having registered a 10 percent drop in GDP in 2003, according to the International Monetary Fund. Thousands of small-sized businesses have closed down. But as long as the oil prices permit Chávez to obtain $20 billion a year, he can fund his populism.



The last factor in his victory lies with the opposition itself. Acción Democrática and Copei, the two parties that embody the “puntofijismo” era, are dominant, together with other relics such as MAS, despite the presence of new, promising groups, such as Primero Justicia. The opposition made huge mistakes, such as the attempted coup in 2002 and the oil strike in early 2003, that made Chávez the victim and blurred the fact that during his government alone, 5 million people have joined the ranks of the poor. The strike also gave Chávez the pretext to purge the state oil company of all vestiges of independent management. He then turned it into a source of funding for many radical groups in
Latin America, from the “piqueteros” in Argentina to the MAS in Bolivia.



This may turn out to be a good thing. It may finally dawn on the opposition that struggle is essentially domestic, and that radical new thinking, as well as new faces, are needed, and that Chávez needs to be attacked for perpetuating, rather than overturning, the old regime. If the opposition learns to live with this defeat, allows the new generation to come to the front and exposes the similarities between Chávez\’s system of oil- related patronage and that of the old regime, it will have a good chance of winning the presidential elections a couple of years from now.\
Alvaro Vargas Llosa is a research fellow at the Center on Peace and Liberty at the Independent Institute. His forthcoming book, "Liberty for Latin America," will be published by Farrar, Strauss & Giroux in February.\
\
\http://www.sfgate.com/cgi-bin\/article.cgi?file=/chronicle\/archive/2004/08/25/EDGMP8D94O\1.DTL\\
“,1]
);

//–>

With the price of oil more than $40 a barrel, Chávez can count on the United States — eager to avoid, in the middle of a presidential election, further price hikes — to accommodate him. After all, he has never stopped shipping oil to the United States (1.5 million barrels a day, according to U.S. Department of Energy) or paying his debts, knowing that his power base depends on oil money.



This may turn out to be a good thing. It may finally dawn on the opposition that struggle is essentially domestic, and that radical new thinking, as well as new faces, are needed, and that Chávez needs to be attacked for perpetuating, rather than overturning, the old regime. If the opposition learns to live with this defeat, allows the new generation to come to the front and exposes the similarities between Chávez’s system of oil- related patronage and that of the old regime, it will have a good chance of winning the presidential elections a couple of years from now.



Alvaro Vargas Llosa is a research fellow at the Center on Peace and
Liberty at the Independent Institute. His forthcoming book, “Liberty for Latin America,” will be published by Farrar, Strauss & Giroux in February.


Next step in Venezuela

August 25, 2004

Not much time to write tonight, in case you have not seen Alvaro Vargas LLosa’s article today here it is, don’t agree with many things in it, but…


 


Next steps in Venezuela
Alvaro Vargas Llosa
Wednesday, August 25, 2004

I witnessed the recall referendum firsthand in Venezuela on Aug. 15, and I would suggest that, despite its taking place under very intimidating circumstances and a high degree of government control, it cannot be denied that President Hugo Chávez had enough real popular support to withstand the effort to oust him at the polls. Major soul-searching is now required among Chávez’s foes if they want their efforts to bear fruit in the future.



Let there be no doubt about the nature of that regime. Had it not been for the efforts of more than 3 million Venezuelans who have, through civil resistance, made life difficult for Chávez, Venezuela, the world’s fifth largest oil producer and the U.S.’s third largest supplier, would be on its way to becoming a semi-totalitarian state. After coming to power in 1999, Chávez threw away the constitution and used referendums and ad-hoc elections to replace the standing institutions with a loyal National Assembly, a government-controlled Supreme Court and a subservient electoral tribunal. With the use of thugs — the infamous “Bolivarian Circles” modeled on the Cuban “Committees of the Revolution” — he has intimidated opponents. Two violent incidents with many fatalities have produced no indictments, and there are political prisoners, such as Henrique Capriles, the mayor of Baruta Municipality accused of organizing a demonstration against the Cuban embassy (I tried unsuccessfully to visit him at the headquarters of the DISIP, the feared state-security apparatus).


 


Still, as Chávez proved, he has a considerable social base. Various factors come into play here. By far the most important is the hatred of all things related to the old regime, known as “el puntofijismo,” the name given to the agreements signed by the major parties in 1958 that inaugurated four decades of corrupt democracy in Venezuela. A coterie of private interests tied to the state and, particularly, to the oil industry (nationalized in the 1970s), enjoyed the spoils of a system that deprived the masses of access to capital. The military, bribed with oil money, stayed out of politics, and the people received what little the unproductive system of redistribution could channel to them.



He has also been able — and this is the second factor in his victory Aug. 15 — to unleash a torrent of oil money on the slums of Venezuela through a network of social services he calls "missions" that provide everything from food to educational scholarships. The effort is based on handouts, not on job-creating investments. In fact, the economy is in shambles, having registered a 10 percent drop in GDP in 2003, according to the International Monetary Fund. Thousands of small-sized businesses have closed down. But as long as the oil prices permit Chávez to obtain $20 billion a year, he can fund his populism.\
The last factor in his victory lies with the opposition itself. Acción Democrática and Copei, the two parties that embody the "puntofijismo" era, are dominant, together with other relics such as MAS, despite the presence of new, promising groups, such as Primero Justicia. The opposition made huge mistakes, such as the attempted coup in 2002 and the oil strike in early 2003, that made Chávez the victim and blurred the fact that during his government alone, 5 million people have joined the ranks of the poor. The strike also gave Chávez the pretext to purge the state oil company of all vestiges of independent management. He then turned it into a source of funding for many radical groups in Latin America, from the "piqueteros" in Argentina to the MAS in Bolivia.\
“,1]
);

//–>

One figure says it all: In the last quarter-century of that era, Venezuela accumulated some $300 billion in oil revenue (based on official government data), more than two thirds of Latin America‘s foreign debt in the early1990s. Little of that was used to develop the country, and the people became convinced the rich, white upper classes had stolen their wealth. Chávez, a man of Native American and African descent, was a child of that deeply felt resentment. Rather than dismantle the apparatus that had impoverished the people, he took it to the extreme. That is why he became unpopular after his first two years in office. But since then, the polarization of Venezuelan society has allowed Chávez to position himself again as the champion of the poor against the remnants of the old regime.



He has also been able — and this is the second factor in his victory Aug. 15 — to unleash a torrent of oil money on the slums of
Venezuela through a network of social services he calls “missions” that provide everything from food to educational scholarships. The effort is based on handouts, not on job-creating investments. In fact, the economy is in shambles, having registered a 10 percent drop in GDP in 2003, according to the International Monetary Fund. Thousands of small-sized businesses have closed down. But as long as the oil prices permit Chávez to obtain $20 billion a year, he can fund his populism.



The last factor in his victory lies with the opposition itself. Acción Democrática and Copei, the two parties that embody the “puntofijismo” era, are dominant, together with other relics such as MAS, despite the presence of new, promising groups, such as Primero Justicia. The opposition made huge mistakes, such as the attempted coup in 2002 and the oil strike in early 2003, that made Chávez the victim and blurred the fact that during his government alone, 5 million people have joined the ranks of the poor. The strike also gave Chávez the pretext to purge the state oil company of all vestiges of independent management. He then turned it into a source of funding for many radical groups in
Latin America, from the “piqueteros” in Argentina to the MAS in Bolivia.



This may turn out to be a good thing. It may finally dawn on the opposition that struggle is essentially domestic, and that radical new thinking, as well as new faces, are needed, and that Chávez needs to be attacked for perpetuating, rather than overturning, the old regime. If the opposition learns to live with this defeat, allows the new generation to come to the front and exposes the similarities between Chávez\’s system of oil- related patronage and that of the old regime, it will have a good chance of winning the presidential elections a couple of years from now.\
Alvaro Vargas Llosa is a research fellow at the Center on Peace and Liberty at the Independent Institute. His forthcoming book, "Liberty for Latin America," will be published by Farrar, Strauss & Giroux in February.\
\
\http://www.sfgate.com/cgi-bin\/article.cgi?file=/chronicle\/archive/2004/08/25/EDGMP8D94O\1.DTL\\
“,1]
);

//–>

With the price of oil more than $40 a barrel, Chávez can count on the United States — eager to avoid, in the middle of a presidential election, further price hikes — to accommodate him. After all, he has never stopped shipping oil to the United States (1.5 million barrels a day, according to U.S. Department of Energy) or paying his debts, knowing that his power base depends on oil money.



This may turn out to be a good thing. It may finally dawn on the opposition that struggle is essentially domestic, and that radical new thinking, as well as new faces, are needed, and that Chávez needs to be attacked for perpetuating, rather than overturning, the old regime. If the opposition learns to live with this defeat, allows the new generation to come to the front and exposes the similarities between Chávez’s system of oil- related patronage and that of the old regime, it will have a good chance of winning the presidential elections a couple of years from now.



Alvaro Vargas Llosa is a research fellow at the Center on Peace and
Liberty at the Independent Institute. His forthcoming book, “Liberty for Latin America,” will be published by Farrar, Strauss & Giroux in February.


Night of the living dead

August 25, 2004

That’s how I feel tonight as the vultures swoon around the CD to pick up the rot: There was, of course, Salas Romer, challenging Chavez to a full recount and saying “Yo no fui”, AD saying we can’t have a forfeit y “yo tampoco fui” and making the accusations that CANTV’s transmission of the recall results was interrupted at some point without explanation. Then there was COPEI saying I haven’t died ….yet (call a doctor!), and we are also going to the regional elections. The only party missing so far is URD, but I think none of them are still breathing, so they will not make a statement.


A veritable night of the living dead!


On mathematical studies of the recall results part I

August 24, 2004

-In the comments below there are two simulations by ele and Gustavo, both of which claim that they get results of their simulations which agree with the results for the recall vote.


-I have received a Monte Carlo study by some Professors at UCV which reaches a different conclusion. Using data from 2135 centers, they use as the probability of participating the results of the CNE and the probability of voting “Si” the vote for each center based on the results of the 15th. They do 100 simulations using a binomial distribution and reach the following conclusion:


 


i)                    The probability of 236 centers having duplicate “Si” votes, as in the results, is less than 1%.


ii)                   The probability of having 6 centers having triplicate “Si” votes is less than 25%


iii)                 The probability of having one center having four machines with the same vote is less than 5%.


 


-A study of the results for the Actas per Center, when compared to the exit polls shows a low probability for the exit poll sample coming from the population of the actas.


 


More on all of these as I have more information or I am allowed to say more.


No change at (in)Justice

August 24, 2004

An important change took place this week in Venezuela which should not go unnoticed. President Hugo Chavez changed his old Minister of the Interior and Justice Lucas Rincon (below left), famous for saying on the evening of April 11th. 2002 “The President was asked to resign and he accepted it” earning him the nickname Pinocchio, for Jesse Chacon who particiapted in the murders of innocent civilians on Nov. 27th. 1992 during the failed coup (below right)



A friend has now corrected me, telling me that despite claims in newspapers, teh guy below is not Jesse Chacon and above is the picture he sent of Chacon that same day after the takeover of Canal Ocho. he was there but did not pose for the icture below over the civilian guard at the TV station. I stand corrected.