Interdependent Factors in Statistics

Interdependent Factors in Statistics and BMWs
BMW Z4 Cars

Yesterday, we considered the wise saying, “Figures don’t lie, but liars figure.” We said that one problem with statistical arguments is that they often don’t include all the variables. A second problem with statistical arguments is that they don’t ensure that all of their variables are independent. Therefore, we must consider the interdependent factors.

For a trivial example, let’s suppose I ask, “What are the odds that I will buy my grandson a BMW for his birthday?” The first question we should ask is, “Is he old enough to drive?” A second question might be, “Can he get insurance?” A third variable would be, “Do I have enough money to buy the car?” Finally, a fourth variable might be, “Would he be happy with a used BMW?”

Since I love my grandson, I might say that the odds of me buying a car for him are 100%. However, as we consider each of those variables (plus many more), the probability becomes less. Are these variables independent, or are they interdependent factors? If he is not old enough to drive, he is also not old enough to get insurance. The probability of him being able to drive and being able to get insurance are not independent because both depend on his age. His being happy with a used BMW is not independent of my having enough money to buy a new one.

If we look at the question of life on Mars, we might be inclined to say that the odds are very high that life does exist on that planet. It has a mass similar to Earth. Mars has an atmosphere, volcanic eruptions, and water. Mars is tilted on its axis, it has a magnetic field, and the length of a day is roughly 24 hours. Are all of these variables independent? The answer is no because if the planet has volcanic eruptions, it will have an atmosphere, and volcanic eruptions always involve some amount of water. Both the water and the atmosphere are interdependent factors that depend upon volcanic eruptions.

The tricky part of this subject for both believers and atheists is knowing what is dependent and what is independent. As our knowledge of a topic improves, we are likely to find more dependent factors. For example, we recently discussed the importance of hydroxyl radicals in cleaning Earth’s atmosphere of pollutants. What are the odds of hydroxyl radicals being in a planet’s atmosphere? What may appear to be a separate and independent variable is the presence of lightning. Science has known for a long time that lightning helps produce nitrates which are essential for plant growth. In June of 2021, scientists announced a recent discovery that lightning produces hydroxyl radicals. Any planet that has lightning will have hydroxyl radicals, so the presence of hydroxyl radicals is not independent but is dependent on lightning.

This discussion has practical value in today’s world. Yesterday we said that we would examine some other statistical issues involving God’s existence. Think about this. Considering the millions of interdependent factors that must be in place to allow us to exist, could they all have come together by chance? Consider it on various levels—the creation of a universe from nothing—the creation of a life-supporting planet—the creation of the first life from inert matter—the creation of advanced life. We could go on. But considering all of the interdependent factors at each level, is it more logical to assume they came together by mere chance or guided by an intelligent Designer?

— John N Clayton © 2021

Making the Right Assumptions

Making the Right Assumptions about Life in Space

In my first college course in statistics, the professor made the following statement: “You can prove anything by statistics as long as you make the right assumptions.” I didn’t understand what he meant at the time, but I have seen the truth of that statement over the years. People decide what they believe, and then they manipulate statistics to prove that they are correct. Another way of saying it is, “Figures don’t lie, but liars figure.” This is true of religious people and atheists alike, and it’s a difficult mistake to avoid. Making the right assumptions to prove your point is usually possible.

There are some things we need to know about any statistical claim. The first is whether there are unconsidered variables in the calculations. For example, recent COVID death statistics failed to include other conditions that affected the mortality of people with the disease. Mortality rates for terminally ill people in nursing homes are not the same as those for college students.

People who claim that statistics indicate there must be inhabited planets with people like us base their claim on limited variables. In 1961, Astronomer Frank Drake formulated what is known as the Drake Equation to compute the probability of life on other planets. Drake used seven variables, with each assigned a probability factor. They are:

R∗ = the average rate of star formation in our galaxy
fp = the fraction of those stars that have planets
ne = the average number of planets that can potentially support life per star that has planets
fl = the fraction of planets that could support life that actually develop life at some point
fi = the fraction of planets with life that actually go on to develop intelligent life (civilizations)
fc = the fraction of civilizations that develop a technology that releases detectable signs of their existence into space
L = the length of time for which such civilizations release detectable signals into space


It should be evident that none of these variables are based on observations but on making the right assumptions. In addition, since 1961, science has added a vast number of new variables. For example, we need to consider black holes, star distribution, planetary chemical makeup, and asteroid bombardment. Added to that list are a host of physical constants and geologic processes we have learned through space exploration.

Astronomer Dr. Hugh Ross has refined and expanded the list to include 322 variables. Even assigning modest values for each of those parameters would mean that the probability of all 322 occurring together (as they have on Earth) would be 10-388. That number is beyond impossible. Making the right assumptions involves considering all of the variables.

Whether life exists on any other planet
is not a biblical question and has nothing to do with the existence of God. However, tomorrow we will examine some other statistical issues involving God’s existence.

— John N. Clayton © 2021

The Story of Joseph in Egypt

The Story of Joseph in Egypt

Skeptics who challenge the Bible’s accuracy often point to the story of Joseph in Egypt recorded in Genesis 37–50. First, the Bible tells of Joseph being sold by his brothers to a passing caravan and then sold as a household slave to an Egyptian officer named Potiphar. Next, after being falsely accused by Potiphar’s wife, Joseph lands in prison, becoming a model prisoner. Finally, by interpreting Pharoah’s dream, he becomes second in command in Egypt. Then the famine Joseph predicted forces Joseph’s brothers to go to Egypt for food. Eventually, the whole family settles in Egypt in an area the Bible refers to as Goshen (Genesis 47). 

Living in Egypt continues for 400 years (Exodus 12:40). Eventually, a new pharaoh becomes unhappy about this foreign group residing in his land, perceives them as a threat, and enslaves them (Exodus 1:8-14). Then a leader named Moses helps the enslaved people escape, pursued as far as the Red Sea by the Egyptian army. Finally, after 40 years of wandering, they end up back in Canaan. 

Atheists and skeptics claim that the story of Joseph in Egypt can’t be accurate because there is no record of any of this outside of the biblical account. Therefore, they say, it must not be true. However, Biblical Archaeology Review magazine (Fall 2021, pages 40-47) carried an article by Rachel Hallote titled “Does Archaeology Confirm Joseph’s Time in Egypt?” It said, “Egyptian material is nearly identical with the short summary of the biblical account.” 

The problem seems to be that the Egyptian sources referred to the Canaanites as “Hyksos.” Secular writers often fail to recognize that the Hyksos were the descendants of Jacob and his son Joseph. The article concludes that “the stories of Joseph and his brothers are clearly rooted in the rise of the Hyksos in Egypt.” Thus the biblical story of Joseph in Egypt does not conflict with archaeological evidence.

— John N. Clayton © 2021

For more information: https://www.baslibrary.org/biblical-archaeology-review/47/3/5

You can learn more about our video series on archaeology and the Bible HERE

You Should Not Exist

You Should Not Exist

Do you realize that from virtually every standpoint, you should not exist? Philosophers debate the question of, “Why is there something instead of nothing?” However, the physics of your existence is much more of an issue than a philosophical debate.

Modern scientific discoveries have added to the evidence that you should not exist.
We know that matter and energy are directly related. We can turn matter into energy, as evidenced by the atomic bomb. Scientists have now shown that energy can be turned into matter. Einstein’s equation E = mc2 can work forward and backward.

The complicating factor is that two kinds of matter are always produced when energy is turned into matter. In addition to the ordinary matter we are made of, there is also a mirror image of it called “antimatter.” Antimatter consists of positively charged electrons (positrons) and negatively charged protons (antiprotons). When matter and antimatter are combined, they destroy each other, reverting to the energy from which they came. The cosmic creation event should have created equal amounts of matter and antimatter. How did they not destroy each other?

Another physics principle that says you should not exist is the Second Law of Thermodynamics. It says that in a closed system, things tend to move to disorder. This law allows diffusion to happen. It is why we, and everything else, fall apart with age. The cosmos, by definition, is a closed system. Carl Sagan used to say, “The cosmos is everything that is or ever was or ever will be.” The physical world is slowly dissolving, and disorder (called entropy) is increasing. The stringent conditions needed for you to exist are becoming less and less likely.

The Bible writers recognized this fact.
Isaiah wrote, “Lift up your eyes to the heavens, look at the Earth beneath. The heavens will vanish like smoke, the Earth will wear out like a garment, and its inhabitants will die like flies, but my salvation will last forever…” (Isaiah 51:6). The spiritual realm is not affected by entropy, but the physical realm is. We exist because God created us. How He separated matter and antimatter is a mystery to science. How life came into being with the massive increase of order can only be explained because God designed our existence for a purpose.

When you take the position of the atheist, you should not exist. Existence is a vast mystery that philosophers and scientists can’t answer. From a biblical perspective, we are major players in the struggle between good and evil. (Read the book of Job.) We have a purpose, and we exist to fulfill that purpose. Being created in the image of God answers many of our questions. COVID, climate change, and the struggles between good and evil in our world remind us that our existence is temporary. There is a new existence coming that will verify why we exist in the present.

— John N. Clayton © 2021

Animals Growing Crops

Animals Growing Crops

We generally think of farming as a human enterprise, but there are cases in the natural world of animals growing crops. In most cases, the crop they are raising could not survive without the animal tending it. Some good examples are living things that eat fungi or algae. 

Researchers at Kyoto University in Japan studied red algae called Polysiphonia. These algae have a symbiotic relationship with a species of damselfish (Stegastes nigricans). Red algae look like a brown carpet, and the damselfish make sure that the carpet is not disturbed. If any other species of algae shows up among the red algae, the damselfish will nip it off and take it out of the fish’s territory. If the damselfish is removed from the area, the red algae can’t survive. So it appears that the damselfish are critical to the survival of the red algae and vice versa. 

There have been other studies of certain species of ants, termites, and ambrosia beetles that grow fungi for food. Some of these “farmers” even use bacteria to produce pesticides to protect their fungus crops. How do such symbiotic relationships happen? Evolutionists suggest that initially, the animal had a varied diet but becoming dependent on one thing offered such an advantage that the animal gave up any other foods. 

The difficulties with the evolutionary explanation are many and quite complex. The nutritional issues are a problem because a single source of nutrition must have a balanced collection of minerals. Going from a varied diet to a single food does not seem to be an evolutionary advantage. Defending the food source is also an issue. For example, when the researchers removed the damselfish, other fish and sea urchins had eaten all of the red algae within days. 

Another explanation is that symbiotic relationships are part of the design of every animal’s genome. The earliest fossil remains of many animals show that a symbiotic relationship was already in place. We suggest that animals growing crops is part of God’s design. He gave them the genetic messaging and instinctive drive necessary for them to survive. 

— John N. Clayton © 2021

Reference: Original article in Science News August 12, 2006, page 102. You can find many other references on the web. 

Consequences of New Anti-discrimination Rules

Consequences of New Anti-discrimination Rules

Discrimination is a buzzword that has all kinds of implications. Of course, we don’t want to be accused of discriminating against someone based on race or gender. However, the federal government has gone far beyond those categories and has gotten into areas involving morality. So what are the consequences of new anti-discrimination rules?

In February of 2021, the United States Department of Housing and Urban Development issued a directive barring discrimination in housing based on sexual orientation or gender identity. For schools and colleges, this means that dorm rooms, locker rooms, shower spaces, and restrooms must be open to anyone, no matter their gender or sexual orientation. Schools not following the directive face fines and criminal penalties. 

We are already seeing the consequences of new anti-discrimination rules in high schools where boys are demanding to use girls’ locker rooms and participate in girls’ sports. A more complex situation is confronting Christian colleges because of moral concerns. They can be threatened with government action if they have a girls’ dorm or a boys’ dorm. 

The College of the Ozarks near Branson, Missouri, is involved in a court battle. This school, affiliated with the Presbyterian Church USA, was established in 1906. It has 1426 students and 30 academic majors. The college’s five-fold mission is to encourage academic, Christian, cultural, vocational, and patriotic growth in its students. With the help of Alliance Defending Freedom, the school is challenging the new government rules. 

The federal government has taken the Civil Rights Act of 1968 as the basis of its directive. That law was written to stop discrimination against African Americans, but they are reinterpreting it to accommodate LGBTQ activists. The consequences of new anti-discrimination rules for Christian colleges will be to open all dorms to everyone. An alternative would be to close the dorms and force students to find off-campus housing, which would be a financial hardship for the schools. Christian colleges across the nation are watching what happens in this court battle. 

— John N. Clayton © 2021

Reference: Faith and Justice magazine for August 2021, pages 10-17, and College of the Ozarks website. You can also read more about the case of College of the Ozarks v. Biden HERE.

Poison Ivy Vaccine On the Way?

Poison Ivy Vaccine On the Way?

Those of us who work in science have been amazed at the public’s fear of the COVID vaccine. We shouldn’t be. When the polio vaccine came out, the same thing happened. Before that, there were similar public reservations about the smallpox vaccine. Now we may have a new vaccine for people to worry about – a poison ivy vaccine.

Every year up to 50 million Americans struggle with poison ivy infections. Ten percent of lost-time injuries among U.S. Forest Service workers are due to poison ivy. Here in Michigan, birds immune to poison ivy spread it by eating the berries and dispersing the seeds. As the saying goes, “One man’s (or bird’s) meat is another man’s poison.

Studies at Duke University indicated that the amount of carbon dioxide in the air controls how much urushiol the poison ivy plant produces. Urushiol causes the rash that so many of us experience when we contact the poison ivy plant. So the increase of carbon dioxide in the air causes climate change and makes poison ivy worse.

Research is now on the verge of producing a poison ivy vaccine. The compound called PDC-APB injected as a vaccine every year or two could prevent poison ivy misery. The University of Mississippi developed the vaccine, and Hapten Sciences has licensed it. The compound has passed initial safety tests in humans and will be undergoing controlled effectiveness trials.

The painful rash from poison ivy, poison oak, and poison sumac may become a thing of the past. God has put into the creation materials that can help humans avoid poison ivy problems and given humans the intelligence to discover them. You can be sure that some people will circulate misinformation about the poison ivy vaccine. However, as one who has been hospitalized three times with poison ivy experiences, I will be in line for the vaccine when it is available.

— John N. Clayton © 2021

Reference: Scientific American, September 2021, page 24.

Design of Deer Eyes

Design of Deer Eyes

One of the most compelling examples of God’s design in the world around us is the design of eyes. The eyes of every creature on Earth are specially designed to allow the animal to survive. The retinas of our eyes contain three kinds of color cones sensitive to red, blue, and green. When all three cones work together, our brain tells us that what we are seeing is white. However, the design of deer eyes is different.

Very few animals have all three types of cones, and this design allows animals to maintain a balance in the natural world.
A PBS documentary called “Nature” carried a discussion of how predators control deer in the natural world to prevent their population from exceeding the food supply. In North America, wolf packs kept the deer population under control. However, now that wolves have been removed, many of us are plagued with over-populations of deer.

Several years ago in southern Indiana’s Brown County State Park, hunters were allowed to cull the deer population. Some 12-year-old deer weighed only 60 pounds, and vegetation in the park was threatened. When older trees died, the park’s abundant tree population was threatened because deer were eating the young ones.

In other parts of the world, tigers keep deer populations in check. How can a large orange-colored animal ever catch a deer which can easily outrun a tiger? The answer is that a deer’s eye does not have any red-sensitive cones, so the deer does not see the orange color of the tiger. A tiger can get very close without the deer seeing it, so the tiger is wonderfully camouflaged to control the deer population.

We need to be careful not to let “Bambi” demean our appreciation of predators in the natural world. In places where the deer population is out of control, the ecological system can collapse. For example, we have so many deer here in Michigan that those of us with gardens, decorative bushes, and trees have to constantly spray deer repellant to keep our plants from being eaten. God’s design avoided that problem until humans threw it out of balance. The design of deer eyes is part of that balance.

— John N. Clayton © 2021

Reference: PBS documentary “Nature” on August 26, 2021.

Feeding Starving People

Feeding Starving People - Chickpeas are one answer
Dried Raw Chickpeas

Every day, the mail brings letters from organizations asking for money for feeding starving people around the world and in the United States. Most of these organizations are directly or indirectly connected to the teachings of Christ. I don’t get letters from atheists who feed hundreds of people who don’t have enough to eat. When Jesus gives a picture of the judgment scene in Matthew 25:31-46, the first thing He says is that His followers will provide food and drink to the needy.

As the population of planet Earth grows, the need for food will only increase. God has provided the means to feed our population. More than that, we could double our population and still have enough for everyone to eat. Hunger results from waste, mismanagement, greed, selfishness, and failure to live as God has called us to live.

Science has learned some superfoods are untapped or poorly managed. One example is the lowly chickpea. Chickpeas provide more than twice as much protein as corn and more than four times as much fiber as brown rice. In addition to providing nutrition for people, chickpeas enrich the soil with nitrogen so that farmers can use less fertilizer. Botanists have developed new varieties of chickpeas to grow in harsh conditions and even fight off blights. These new varieties allow farmers in Africa and Asia to double their yields.

John the Baptist ate locusts and honey according to Matthew 3:4. Worldwide, people eat more than a thousand species of insects. Insect farming is in its infancy, but grasshoppers, rhino beetles, and termites are the three most common insect food sources. Not only do insects provide all the nutrition that a human needs, but the cost of raising bugs is microscopic compared to cattle, sheep, chickens, and pigs.

Potatoes are an essential crop for feeding people, and the top potato producer is China, with an annual harvest exceeding 150 million tons. No matter what climate changes we see in the coming years, chickpeas, insects, and potatoes can withstand the extremes. God has provided the resources for feeding starving people to make desperate hunger a thing of the past. Humans just need to learn to get along and use all the resources God has given us.

— John N. Clayton © 2021

Data from National Geographic articles by Nancy Shute from 2010 to 2021.

Autoimmune Diseases and God’s Design

Autoimmune Disease and God’s Design

“Autoimmunity is the system of immune responses of an organism against its own healthy cells, tissues, and other body normal constituents. Any disease that results from such an aberrant immune response is termed an “autoimmune disease.” –Wikipedia

As many as 4.5% of the world’s population may be affected by any of about 80 autoimmune diseases.
Some such as psoriasis are cosmetic, and others such as multiple sclerosis are life-threatening. So when the human body attacks itself, should we assume that it is because the body’s design is flawed? The exact cause of autoimmune disorders is unknown, but as more and more data becomes available, it is clear that this is not a flaw in the design of the immune system.

First of all, the number of autoimmune disorders that affect large populations is minimal. Psoriasis, Hashimoto’s thyroiditis, celiac disease, Graves disease, and rheumatoid arthritis are the most common, affecting one person out of every 100. Type 1 diabetes, vitiligo, and rheumatic fever can affect one person out of every 1000 or so. Most autoimmune diseases are infrequent, with some affecting fewer than 1 in a million people.

Secondly, we now know that some bacteria or viruses entering the human body from animals may confuse the immune system and lead to disorders. COVID and AIDS have shown us that animals are a source of viruses that can cause disease in humans.

Thirdly, chemicals can trigger changes in cells that the immune system is not designed to handle. Pesticides, herbicides, recreational drugs, industrial waste, and medical waste have caused all kinds of problems for humans. Immune disorders may not be because of bad design of the immune system but the result of human ignorance, carelessness, and greed.

Fourth, a new study has suggested that stress may lead to some autoimmune diseases, such as lupus or rheumatoid arthritis. There is a higher incidence of autoimmune diseases among people who were previously diagnosed with stress-related disorders.

God’s design of the human immune system is amazing. As the Psalmist said. “I am fearfully and wonderfully made” (Psalms 139:14). The immune system that allows most of us to live for many years with good health is one of the best demonstrations of the truth of that statement.

— John N. Clayton

See the September 2021 issue of Scientific American (pages 26-51) for much more information about autoimmune diseases, their causes, and potential cures. Pages 32 and 33 display a fascinating chart with data on 76 autoimmune disorders.