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Numbers behind different COVID-19 vaccines

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By M. C. M. Iqbal

The vaccines against COVID-19, available today, are based on different strategies and come with different numbers to indicate their performance. Many of us wish to know if one vaccine is better than the other. Two concepts underlying the performance of the vaccines are efficacy and effectiveness. The Pfizer-BioNTech vaccine has an efficacy of 95 percent, the Moderna Vaccine is 94.5 percent and the Russian made Sputnik vaccine is over 90 percent. Does this mean some vaccines are better than the other? The short answer is no. All the approved vaccines are equally good. So, let us look at what these numbers mean.

These numbers refer to statistical calculations to interpret the results of vaccination trials conducted by the manufacturers of vaccines, following a prescribed format. The method of calculation was developed over 100 years ago by two statisticians, who published their results in the Proceedings of the Royal Society of Medicine in 1915. They, Major Greenwood (Major is his first name and not a military title) and Udny Yule, were tasked with interpreting the results of immunization of British soldiers against typhoid and cholera, who were fighting in different regions of Europe and Asia favourable to the development of cholera epidemics. In a paper stretching over 82 pages, the authors developed the theoretical and mathematical background for calculating the efficacy of vaccines.

This article seeks to explain to the lay reader what these numbers imply and to bring out the differences between efficacy and effectiveness of a vaccine.

Efficacy and effectiveness

At first sight these two terms appear to be synonyms. However, in the world of vaccines and medicine, these two terms are not the same. Efficacy of a vaccine is how it performs under ideal and controlled conditions in a clinical trial (see below). During clinical trials, the outcome of vaccination is compared between a group of vaccinated people and another group given an inactive form of the vaccine (called a placebo). The effectiveness of a vaccine is how the vaccine performs in the real world – that is after the vaccine is approved by the regulatory agencies and you and I are vaccinated.

The efficacy of a vaccine is measured by the manufacturers under ideal conditions in a clinical trial where criteria are specified for selecting and excluding volunteers. These criteria are usually age groups, gender, ethnicity, geographical location and socio-economic standing. If the criteria are specific, then the effects of the vaccine or drug would not be applicable across the population. For example, if the COVID-19 vaccines are not tested on children below 18 years, then the approved vaccine cannot be used on children.

The effectiveness of a drug or vaccine is a measure of how well the drug or vaccine performs in real life, in a diverse population: Fitness geeks and couch potatoes, housewives and nurses, and farmers and office workers. Effectiveness is of relevance to the medical community and healthcare authorities who are treating the patients. Thus, studies on effectiveness would look at to what extent the vaccine is beneficial to the patient to prevent infection.

One may ask, why not simply look at the effectiveness of the vaccine? This is because if the participants in an initial trial of the vaccine are not carefully controlled, then it is difficult to interpret the outcome of the trial. We have many characteristics, which can potentially interfere with the outcome of a trial testing a vaccine. The person volunteering for the trial could be young or old, pregnant or not, a marathon runner or an average person and smoker or non-smoker. Thus, the volunteers selected for the trials are very similar within their groups with many criteria to exclude persons who could confuse the results (for example, an unhealthy person with other diseases would be excluded).

Efficacy of a vaccine asks the question ‘Does the vaccine work under ideal conditions?’ On the other hand, a study on the effectiveness of the same vaccine asks the question ‘Does vaccination work in the real world?

Clinical trials

Under normal circumstances, vaccines take many years of research and testing to be approved. The COVID-19 pandemic was unprecedented, and pharmaceutical companies embarked on a race against time to produce safe and effective vaccines. The genome of this coronavirus, which was discovered by Chinese scientists, in January 2020, was a major contribution to the development of the vaccines. At the moment there are 94 vaccines being tested on humans in clinical trials, 32 of which have reached the final stage of Phase 3 testing.

To obtain approval for a vaccine, the vaccine manufacturers go through a prescribed process to ensure that the vaccine is safe. All the countries have a national drug approval agency, who should approve the use of a drug or vaccine in that country. The Food and Drug Administration (FDA) in the United States is an important regulatory agency, which has stringent criteria to approve medicines and drugs. In Sri Lanka, it is the National Medicines Regulatory Authority. COVID-19 vaccines are also assessed and approved by the WHO.

Initially, the vaccine is tested on cells in the laboratory and then given to animals, usually mice or monkeys. After this, if the mice or monkeys are happy, human volunteers are recruited to conduct the clinical trials, which is done in three phases. In the first phase, the vaccine is tested on a small group of people to determine the safety, dosage and ability to stimulate our immune system. If this is confirmed, the vaccine then moves into the Phase 2 stage where the safety of the vaccine is tested on hundreds of people who are split into different groups. Once these trials are successful, the vaccine moves to the final Phase 3 trials. Here thousands of people are recruited as volunteers. For the Pfizer-BioNTech vaccine there were over 40,000 volunteers, above the age of 16, from different countries. This trial is more comprehensive, with the volunteers belonging to different age groups, physical fitness, ethnicities and geographical locations. The volunteers are divided into two groups. One group gets the real vaccine while the other group gets a fake vaccine or placebo (the syringe has just water). The volunteers would not know if he/she is getting the vaccine or a placebo and neither do the nurses and doctors giving the vaccine. This is called a double-blind clinical trial. Thus, no one knows, except those conducting the trial, who was vaccinated with what.

After some time, the volunteers, who fell sick with the coronavirus, are PCR tested to confirm if they are COVID-19 positive. The scientists will be on the lookout for any side effects of the vaccine; if they find any cause for concern the trial can be stopped temporarily to conduct investigations and remedy the problem. If the scientists are not satisfied, the trial would be abandoned. Once the results are in, the calculations are done, and all the details are submitted to the regulating authorities. The regulators would ask the manufacturers more questions and once they are satisfied, approval is given to manufacture and market the vaccine. To accelerate the process, such as now during the COVID-19 crises, Phase 1 and 2 may be combined and run in parallel.

Calculating efficacy

The calculations involved are quite simple once the data is collected. Let us assume that 50,000 volunteers were recruited for the vaccination trial. Half were given the vaccine and the other half a placebo. Let us assume that of the 25,000 who received the vaccine, 10 persons were infected, and of the other 25,000 who received the placebo, 200 were infected. Although the numbers of people infected are small, those in the placebo group are 20 times larger (see Table). The researchers are concerned with the relative risk between the groups. This is called the efficacy of the vaccine.

The risk of infection is calculated as follows.

What is the difference in the risk of infection between the vaccinated group and those who got the placebo? From the table this is, 0.80 percent – 0.04 percent = 0.76 percent.

Thus, the vaccine reduced the risk of infection by 0.76 percent, which looks quite small. This is what would happen if we are vaccinated. To understand this in terms of the risk of infection, if none were vaccinated, we look at the ratio of the Reduction in Infection (0.76 percent) to the Risk of infection (0.80 percent – those who got the fake vaccine). This is the Vaccine Efficacy (VE).

VE percent = Reduction in infection ÷ Risk of infection = 0.76 ÷ 0.80 = 95 percent

If this is still confusing, let us see what it means in a population of 100,000 persons who are vaccinated with a vaccine of 95 percent efficacy, and exposed to the virus. From the table above, the risk of infection for the vaccinated population is 0.04 percent, which translates to 40 persons (0.04 percent x 100,000). That is, we can expect that 40 persons would fall ill with an infection by the coronavirus and the rest of the vaccinated people may not develop an infection at all or develop an asymptomatic infection (you are infected but do not show symptoms) or get a mild disease.

(This example of calculating Vaccine Efficacy is adapted from an article by Dashiell Young-Saver in the New York Times of December 13, 2020, where the above calculation is explained in detail for students.)

What does efficacy mean?

The efficacy of a vaccine refers to two aspects. The first is how many of us are protected by the vaccine if we are exposed to the virus; this is given by the percentage. The vaccine also refers to different disease conditions it is capable of preventing. This could be causing an infection, mild disease, severe disease, hospitalisation, or death. This information can be found if one looks carefully at the statements issued by the vaccine manufacturer and regulatory agencies. For example, the statement by Pfizer-BioNTech states: Pfizer-BioNTech COVID-19 vaccine, BNT162b2, was 91.3 percent effective against COVID-19 (symptomatic cases of COVID-19), measured seven days through up to six months after the second dose. The vaccine was 100 percent effective against severe disease as defined by the US centres for Disease Control and Prevention (CDC), and 95.3 percent effective against severe disease as defined by the US FDA.

The efficacy of a vaccine (VE) is the relative reduction of being infected, if we are vaccinated, compared to the placebo or unvaccinated group. If the vaccine is perfect, then the risk of being infected is totally eliminated, so that VE = 1 or it is 100 percent. On the other hand, if there is no difference in the number of people infected between the two groups, the vaccine has no efficacy, or it is zero. Even with a perfect vaccine, our capacity to acquire an infection is determined by our age, health and immunity status.

In short, efficacy is a statistical measurement based on clinical trials of the vaccine’s ability to prevent infection. The volunteers taking part in the trials are not a perfect sample or representative of the real world (for example, children and sick people do not take part). Is there a lower limit for the efficacy of a vaccine to be accepted? Under the present circumstances, the FDA said it would consider granting emergency approval if the vaccines showed even 50 percent efficacy; the vaccines that have received approval now show an efficacy of over 90 percent.

Effectiveness

The effectiveness of the vaccine tells us how well the vaccine is performing among the population, in the real world, to prevent infection. The effectiveness of the vaccine depends on the impact it makes on society. After vaccination our immune system is primed to combat the coronavirus, reducing the multiplication of the virus in our body. This will gradually slow down the spread of the virus as more and more people are vaccinated. In other words, it is important that most if not all the people are vaccinated to have a large impact on the spread of the virus in society. Good examples are the smallpox vaccine, which completely eliminated the smallpox virus, and the polio vaccine, which has almost wiped out the polio virus except for a few small pockets in Pakistan, Afghanistan and Africa. Thus, the effectiveness of a vaccine looks at the medical and societal importance of the outcome.

Here is the above in a nutshell. The percentage numbers given with a vaccine refers to its efficacy – its ability to prevent an infection developing into a serious condition, determined under controlled clinical trials. Vaccines do not prevent infection – they prevent the infection from developing into a severe disease. Once we are vaccinated, our immune system is activated. If we are infected by the coronavirus, the virus has a small window of time to multiply, before it is eliminated by our immune system. This means we can release virus particles from our body, but much less than if we were not vaccinated. The message is we should get vaccinated with the first available vaccine and still wear our masks when going outside, even if we are vaccinated. The chances of ending up in a hospital is low and the chances of ending up in the ICU is very low. There is always a chance.

‘Tis impossible to be sure of anything but Death and Taxes (Christopher Bullock, 1716).

(M.C.M. Iqbal is Associate Research professor, Plant and Environmental Science, National Institute of Fundamental Studies, Hanthane Road, Kandy, and can be reached at iqbal.mo@nifs.ac.lk)

References

Zimmer, C. New York Times Nov. 20, 2020. Two companies say their vaccines are 95 percent effective. What does that mean?

Haelle,T. Association of Health Care Journalists. October 22, 2020. Know the nuances of vaccine efficacy when covering Covid-19 trials. https://healthjournalism.org/blog/2020/10/know-the-nuances-of-vaccine-efficacy-when-covering-covid-19-vaccine-trials/

Greenwood, M., & Yule, G. U. (1915). The Statistics of Anti-typhoid and Anti-cholera Inoculations, and the Interpretation of such Statistics in general. Proceedings of the Royal Society of Medicine, 8 (Sect Epidemiol State Med), 113–194.

Food and Drug Administration, US Department of Health and Human Services. https://www.fda.gov/media/139638/download



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Opinion

HW Cave saw Nanu Oya – Nuwara rail track as “exquisite”

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Plans to resurrect the Nanu Oya – Nuwara Eliya rail track are welcome. The magnificent views from the train have been described by H W Cave in his book The Ceylon Government Railway (1910):

‘The pass by which Nuwara Eliya is reached is one of the most exquisite things in Ceylon. In traversing its length, the line makes a further ascent of one thousand feet in six miles. The curves and windings necessary to accomplish this are the most intricate on the whole railway and frequently have a radius of only eighty feet. On the right side of the deep mountain gorge we ascend amongst the tea bushes of the Edinburgh estate, and at length emerge upon a road, which the line shares with the cart traffic for about a mile. In the depths of the defile flows the Nanuoya river, foaming amongst huge boulders of rock that have descended from the sides of the mountains, and bordered by tree ferns, innumerable and brilliant trees of the primeval forest which clothe the face of the heights. In this land of no seasons their stages of growth are denoted by the varying tints of scarlet, gold, crimson, sallow green, and most strikingly of all, a rich claret colour, the chief glory of the Keena tree’.

However, as in colonial times, the railway should be available for both tourists and locals so that splendid vista can be enjoyed by all.

Dr R P Fernando
Epsom,
UK

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Opinion

LG polls, what a waste of money!

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If the people of this country were asked whether they want elections to the local government, majority of them would say no! How many years have elapsed since the local councils became defunct? And did not the country function without these councils that were labelled as ‘white elephants’?

If the present government’s wish is to do the will of the people, they should reconsider having local government elections. This way the government will not only save a considerable amount of money on holding elections, but also save even a greater amount by not having to maintain these local councils, which have become a bane on the country’s economy.

One would hope that the country will be able to get rid of these local councils and revert back to the days of having competent Government Agents and a team of dedicated government officials been tasked with the responsibility of attending to the needs of the people in those areas.

M. Joseph A. Nihal Perera

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Opinion

What not to do

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Trump and Zelensky arguing in the White House

By Dr Upul Wijayawardhana

It is immaterial whether you like him or not but one thing is crystal clear; Donald Trump has shown, very clearly, who is the boss. Surely, presidents of two countries are equal; perhaps, that is the impression Volodymyr Zelensky had when he went to the White House to meet Trump but the hard reality, otherwise, would have dawned on him with his inglorious exit! True, the behaviour of President Trump and VP Vance were hardly praiseworthy but Zelensky did what exactly he should not do. Afterall, he was on a begging mission and beggars cannot be choosers! He behaved like professional beggars in Colombo who throw money back when you give a small amount!!

Despite the risk of belonging to the minority, perhaps of non-Americans, I must say that I quite like Trump and admire him as a straight-talking politician. He keeps to his words; however atrocious they sound! Unfortunately, most critics overlook the fact that what Trump is doing is exactly what he pledged during his election campaign and that the American voters elected him decisively. When he lost to Biden, all political commentators wrote him off, more so because of his refusal to admit defeat and non-condemnation of his supporters who rioted. When he announced his intention to contest, it only evoked pundits’ laughter as they concluded that the Republican Party would never nominate him. Undaunted, Trump got the party to rally round him and won a non-consecutive second term; a feat achieved only once before, by Grover Cleveland around the end of the nineteenth century. His victory, against all predictions, was more decisive as he got more collegiate votes and, even though it does not matter, won the popular vote too which he did not get when he got elected the first term. Even his bitterest critics should accept this fact.

Zelensky was elected the president of Ukraine after the elected pro-Soviet president was deposed by a ‘peoples revolution’ engineered by the EU with the support of USA. After this, the EU attempted to bring Ukraine to NATO, disregarding the Munich agreement which precipitated the Russian invasion. He should have realised that, if not for the air-defence system which Trump authorised for Ukraine during his first term, Russian invasion would have been complete. It may well be that he was not aware as when this happened Zelensky may still have been the comedian acting the part of the president! Very likely, Trump was referring to this when he accused Zelensky of being ungrateful.

Zelensky also should have remembered that he disregarded requests from Trump, after his defeat by Biden, to implicate Biden’s son in some shady deals in Ukraine and that one of the last acts of Biden was to pardon his son and grant immunity to cover the alleged period. Perhaps, actions of the European leaders who embrace him every time they see him, as a long-lost brother, and invitations to address their parliaments has induced an element of the superiority complex in Zelensky that he behaved so combative.

Trump wanted to be the mediator to stop the war and spoke to Putin first. Instead of waiting for Trump to speak to him, egged on by EU leaders Zelensky started criticising Trump for not involving him in the talks. His remark “He should be on our side” demonstrated clearly that Zelensky had not understood the role of a mediator. His lack of political experience was the major reason for the fiasco in the White House and the subsequent actions of Trump clearly showed Zelensky where he stands! PM Starmer and President Macron seem to have given some sensible advice and he seems to be eating humble pie. In the process Trump has ensured that the European nations pay for their defence than piggy-backing on the US, which I am sure would please the American voter. By the way, though Macron talks big about defence France spends less than 2% of GDP. Trump seems vindicated. Of course, Trump could be blamed for being undiplomatic but he can afford to be as he has the upper hand!

Ranil on Al Jazeera

Zelensky has shown what not to do: instead of being diplomatic being aggressive when you need favours! Meanwhile, Ranil has shown what not to do when it comes to TV interviews. God only knows who advised him, and why, for him to go ‘Head to Head’ with Mehdi Hasan on Al-Jazeera. Perhaps, he wanted to broadcast to the world that he was the saviour of Sri Lanka! The experienced politician he is, one would have expected Ranil to realise that he would be questioned about his role in making Sri Lanka bankrupt as well, in addition to raising other issues.

The interview itself was far from head to head; more likely heads to head! It turned out to be an inquisition by Tiger supporters and the only person who spoke sense being Niraj Deva, who demonstrated his maturity by being involved in British and EU politics. The worst was the compere who seems keen to listen his own voice, reminding me of a Sinhala interviewer on a YouTube channel whose interviews I have stopped watching!

Ranil claims, after the interview was broadcast, that it had been heavily edited reduced from a two-hour recording. Surely, despite whatever reason he agreed to, he should have laid ground rules. He could have insisted on unedited broadcast or his approval before broadcast, if it was edited. It was very naïve of Ranil to have walked in to a trap for no gain. Though his performance was not as bad as widely reported, he should have been more composed at the beginning as he turned out to be later. Overall, he gave another opportunity for the Tiger rump and its supporters to bash Sri Lanka, unfortunately.

Medhi Hasan should watch some of David Frost interviews, especially the one with Richard Nixon, and learn how to elicit crucial information in a gentle exploratory manner than shouting with repeated interruptions. He does not seem to think it is necessary to give time for the interviewee to respond to his questions. I will never watch Al-Jazeera’s “Head to Head” again!

Ranil’s best was his parting shot; when asked by Hasan whether he would contest the next presidential election, he said “No, I will retire and watch Al-Jazeera and hope to see you better mannered”!

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