Connect with us

Opinion

Numbers behind different COVID-19 vaccines

Published

on

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



Continue Reading
Advertisement
Click to comment

Leave a Reply

Your email address will not be published. Required fields are marked *

Opinion

Shutting roof top solar panels – a crime

Published

on

The Island newspaper’s lead news item on the 12th of April 2026 was on the CEB request to shut down rooftop solar power during the low demand periods. Their argument is that rooftop solar panels produce about 300 MW power during the day and there is no procedure to balance the grid with such a load.

We as well as a large academic and industrial consortium members have been trying to promote solar energy as a viable and sustainable power source since the early 1990’s. We formed the Solar Energy Society and made representations to Government politicians about the need to have solar power generation. This continuous promotional work contributed to the rapid increase in PV solar companies from three in the early 1990’s to over 650 active PV solar companies established today in the country. These companies have created tens of thousands of high-quality jobs, as well as moving in the right direction for sustainable development.

However, all these efforts appear to have been in vain since the CEB policy makers have continuously rejected solar energy as a viable alternative. Their power generation plans at that time did not include solar energy at all but only relied on imported coal power plants and diesel power generation. Even at the meetings where CEB senior staff were present, we emphasised the importance of installation of battery storage facilities and grid balancing for which they have done nothing at all over the past three decades. Now they have grudgingly accepted the need to include solar energy, which was an election promise of the present government. The government policy is that Sri Lanka should go for renewables to satisfy 70% of its energy needs by 2030 and soon move towards the green hydrogen technology by using solar and wind energy.

The question is why the diesel generators and hydropower stations cannot be shut off one by one to accommodate the solar power generated during the daytime. Unlike a coal-fired plant, diesel generators and hydro power plants can be shut off in a relatively shorter period of time. Norochchalai Lakvijaya power plant produces around 900 MW of power while the total country requirement is 2500 MW on a daily basis. The remainder is provided by diesel generators, hydro and other renewable energy sources.

The need for work to achieve this goal of grid balancing should be the primary responsibility of the CEB. Modern grid balancing systems are in operation in countries such as Germany where around 56% of its energy come from renewable sources. They also plan to increase this to reach 80% of the energy required through renewables by 2030. Our CEB is hell bent on diesel power plants. Who benefits from such emergency power purchases is anybody’s guess?

The Government and the CEB should realise that all roof top solar plants are privately financed through personal funds or bank loans with no financial burden on the Government. It is a crime to request them not to operate these solar panels and get the necessary credits for the power transmitted to the national grid. It appears that the results of CEB’s lack of grid balancing experience and unwillingness to learn over three decades have now passed to the privately-funded rooftop solar panel owners. It is unfortunate that the Government is not considering the contributions of ordinary individuals who provide clean power to the national grid at no cost to the Government. Over 150,000 rooftop solar panels owners are severely affected by these ruthless decisions by the CEB, and this will lead to the un-popularity of this new government in the end.

by Professors Oliver Ileperuma and I M Dharmadasa

Continue Reading

Opinion

Nilanthi Jayasinghe – An Appreciation

Published

on

It was with shock that I realized that the article in the Sunday Island of April 5 about the winsome graduate gazing serenely at her surroundings was, in fact, an obituary about Nilanthi Jayasinghe, a former colleague who I had held in high esteem. I had lost touch with Nilanthi since my retirement and this news that she had passed away, saddened me deeply

I knew and had worked with Nilanthi – Mrs Jayasinghe as we used to call her – at the Open University of Sri Lanka in the 1990s. As Director, Operations, she was a figure that we as heads of academic departments, relied on; a central bastion of the complex structure that underpinned academic activities at Sri Lanka’s major distance education provider. Few people realize what it takes to provide distance education in an environment not geared to this form of teaching/learning – the volume of Information that has to be created, printed and delivered; the variety of timetables that have to be scheduled; the massive amount of continuous assessment assignments and tests that have to be prepared and sent out; the organization of a multitude of face-to face teaching sessions; the complex scheduling of examinations and tests – all this needed to be attended to for a student population of more than 20,000 and for 23 centres of study dotted across Sri Lanka.

It was an unenviable task but Nilanthi Jayasinghe with her flair for organization, handled it all with aplomb and a deep sense of commitment. If there were delays and inconclusive action on our part, she never reprimanded but would work with us to sort things out. Her work as Director, Operations brought her into contact with staff across the spectrum-from the Vice-Chancellor to the apprentice in the Open University’s Printing Press. Nilanthi treated everyone with dignity and as a result, was respected by all at the university. She was sensitive, kind-hearted, a good friend who would readily share problems and help to solve them. The year NIlanthi retired, I was out of the island. When I came back to the Open University, I felt bereft without the steadfast support of her stalwart presence .

The article in the ‘Sunday Island’ describes her life after retirement, looking after family members and enjoying the presence of a granddaughter.

After a lifetime of commitment to others, Nilanthi Jayasinghe truly deserved this happiness.

May she be blessed with peace.

Ryhana Raheem

Professor Emeritus
Open University of Sri Lanka.

Continue Reading

Opinion

James Selvanathan Mather

Published

on

James Mather (Selvan to all of us) who passed away recently at the age of 95 was one of the leading Chartered Accountants in the country. He was the senior partner of Ernst and Young for long years, and the mentor for a generation of chartered accountants. He was confidante and adviser to many of the leading businessmen of his time. His career spanned over six decades. A man who never sought the limelight, he was very influential in Ceylon/Sri Lanka’s business world.

Selvan Mather was born in 1930 to a well-known Christian family in Jaffna. His father, Rev. James Mather was Head of the Methodist Church in Ceylon. Selvan was educated at Trinity College Kandy, and he had a life-long connection with the school. He entered the University of Ceylon in the late 1940s, at a time when Ivor Jennings was Vice-Chancellor.

He read economics and passed out with an honours degree. For short periods he was in the Department of Income Tax and with the newly established Central Bank of Ceylon. The Central Bank facilitated him to go to England to qualify as a chartered accountant. His two referees, when seeking admission to an accountancy firm in the U.K. were M.D.H. Jayawardena, then Minister of Finance and the Auditor General of Ceylon, L.A. Weerasinghe. Being a chartered accountant was a rare event those days.

On his return from England, his career was with Ernst and Young where he became senior partner. He was close advisor and confidante to many of the leading businessmen. He was admitted to its Hall of Fame by the Institute of Chartered Accountants.

To strike a personal note, I got to know him 50 years ago when he applied for a fellowship given by the Asian Productivity Organisation (APO) in Tokyo. I was in the Ministry of Planning and Economic Affairs at the time, and the Ministry was handling APO affairs in Colombo. He told me later that he enjoyed his time in Tokyo. From that time, we kept up a friendship with him and Nelun, which lasted 50 years.

My wife, Rukmal, and I lived in Windsor England, for about 25 years. During that time, Nelun and Selvan were regular visitors to England. I remember taking him for long walks in Windsor Great Park, and on the grounds of Eton College which were nearby. We went on long car tours in England covering the Cotswolds, the Peak districts and the Potteries. I remember celebrating Selvan’s 70th birthday in London at a Greek restaurant, along with his great friends, Nihal and Doreen Vitarana. Memories remain, although Selvan is no more.

In the last decades of his life we saw Nelun and him often. A few of us, Manik de Silva, Nihal and Srima Seneviratne and a few others met regulsrly for lunch. We will all miss Selvan who was mine of his life and times very much.

Selvan leaves his wife Nelun and three children and their husbands – Rohan, Shyamala and Indi, and Rehana and Akram. It was a close-knit family and they will miss him.

Leelananda De Silva.

Continue Reading

Trending