Posts Tagged ‘stats’

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UNBELIEVABLE BELIEFS: Why YOU Need Math(s) today

March 23, 2024

The WEB is awash with superstition, Fake News, Scams, and Marketing. How can you avoid being taken in by this PROPAGANDA?

Let the FORCE BE WITH YOU. And that FORCE IS MATH(S).

Maths is not just about doing calculations.

You may not become a mathematician, scientist, engineer, computer programmer or medical researcher, but you need to understand what they are saying.

Maths has become academically sidelined in AUSTRALIA, pushed into a Nerd Ghetto with the decline in both student skills (Maths Australia) and No. of students doing  advanced maths. (Engineers Australia. See graph below)

Meanwhile, if you can quote some Yeats, despite living in ignorance of Exponential Functions, say, you rank as an intellectual.

 Don’t bother your pretty little head with mathematics you won’t need it.

3  Reasons why YOU need maths today 

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1. Maths is a Precision Thinking tool.

Mathspig models legs photoshopYou cannot claim to have an ‘agile mind’ if you are not trained to use the precision thinking tool of mathematics. Your powers of reason will be restricted.

According to the National Eating Disorders Collaboration  1 million Australians are affected by eating disorders each year. Meanwhile, women’s magazines push unrealistic images of women’s bodies by stretching models’ legs using photoshop. So what? Now do the maths.

Models legs are stretched by, up to, 89% in magazine photographs. 89%. That number will change the way you think about this issue. (See How Women’s Magazines Distort Women’s Bodies)

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2. Maths Slays Superstition.

Medieval_witchScience alone cannot counter false beliefs, superstition or black magic.

The scientific method depends on maths via observation, measurement, calculation, proof and then replication.

Miracles, on the other hand, cannot be replicated. Without maths science becomes just another belief system. No argument can counter belief as it becomes trapped in the ‘My belief system is better than your belief system’ argument loop.

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galileoThe Enlightenment of the mid-1600s gave birth to the Scientific Method thanks to the work of scientists such as Francis Bacon (1561-1626) , Isaac Newton (1643–1727) and John Locke(1632–1704). Galileo ought to be included. In 1610 he discovered 4 moons of Jupiter, measured the period of orbit of each moon and concluded that the earth was not the centre of the universe. This contradicted belief systems of the time. The religious rulers declared him a heretic, forced him to recant and held him under house arrest until his death.

But the bishops could not arrest mathematics.

And Galileo’s scientific observations ‘proved’ to be correct again and again but he was not accurate on all matters. He thought the moons’ orbits were circular not elliptical.

Like Galileo, Science is not always correct. Nevertheless, it is all we have to fight the dark arts. The poet, John Donne (1573-1631), jested about the ‘New Philosophy’ of science at the time:

(The) new Philosophy calls all in doubt,
The Element of fire is quite put out;
The Sun is lost, and th’earth, and no man’s wit
Can well direct him where to look for it.

John Donne

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super food ad.

Scientific proof slays the ‘mythical dragon’ of belief and new beliefs are popping up all the time. Have you heard the latest about super foods? 

We’ll all be super humans soon. Won’t we? And some diet foods burn fat. Great! We’ll all be super-slim super-humans. Wow! Now keep reading.

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Question the numbers thrown at you. They may be fake. 

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3. Math(s) Kills Spin

You also need maths today, more than ever, to counter SPIN, MARKETING and all sorts of PROFIT DRIVEN PROPAGNDA. Trust no one could be your mantra. Banks will send you credit card bills including a minimum monthly payment, which, as some victims have discovered, wouldn’t pay off your credit card debt before you DIED.

SAMSUNG

Pharmaceutical companies sell drugs with an efficacy of a piddling 5% above the placebo. (I’ve interviewed members of Australia’s drug regulator, TGA.) 5%! You may as well give yourself sugar pills. That’ll save money and they’ll work too. The placebo effect works even if you know it’s a placebo.

Social Scientists use Mickey Mouse Maths to lobby governments for funding for, possibly, non-existent problems. Here’s one example. ‘The Productivity Commission estimates that workplace bullying costs the economy between $6billion and $36bn every year.‘ (Gary Johns, Bullied in the Workplace? Blame the Boss, The Australian, 31 Dec 2013) Really? The total funding for public hospitals in Australia in 2013 was $14bn. Curious.

Now let’s have a closer look at this estimate.

Neither sophisticated nor trained in the specific use of complicated mathematical weapons, I’m not the James Bond of maths. I’m more a ‘Jason Bourne’ type mathematician. I use the everyday maths I have at hand. I keep it simple and, wherever possible, I use first principles.

The mid-point of the Productivity Commission estimate is $21bn. So the cost of bullying in Australia including uncertainty is:

$21 ± 15bn  or  $21bn ± 71%.

These numbers are a joke. The Productivity Commission is using estimates that involve a 142% error range. Yet, I suspect even as I write, someone somewhere is using these stats to apply for a study grant or an intervention program. This type of Mickey Mouse Maths costs us money!!!! We, the public, pay firstly for these numbers to be ‘calculated’ then we pay for intervention programs to curb these ‘imaginary numbers’. Bullying in the workplace exists. But these numbers are beyond belief.

Social Scientists are not the only professionals to use bad Maths. What do you call scientists, who use maths they do not understand? Are they misinformed fools or fraudsters? On an amusing level, I’ve asked several meteorologists what ‘20% chance of rain’ actually means. (Hopefully, some reader will inform us.) Is it related to the area or duration of rain? Or both? They didn’t know. So I then asked ‘How do you calculate this probability?’ The answer? ‘The computer does it for us.’ Ladies and gentlemen, the weather is brought to you today by Clueless & Clueless.

sally-3On a more sinister level, scientists who do not understand the maths they use can be dangerous. This is the point where Science and journalism diverge mathematically. Scientists must put numbers on the board. To win hearts and minds (while over-working well-worn clichés), journalists must tell the story of one person. Here is the story of Sally Clark. On 9 November 1998 at Chester Crown Court Sally Clark, a Cheshire solicitor was convicted of smothering her two baby boys. The prosecution used  Prof Roy Meadows, who’d discovered Munchausen Syndrome by Proxy, as an expert witness. He testified that the chance of two children from an affluent family suffering SIDS was 1 in 73 million. Sally Clark was found guilty. The problem was the Prof got the maths wrong. He arrived at this number by squaring 1 in 8500, the likelihood of one cot death in similar circumstances. He assumed the events were independent like flipping a coin.

The chance of 2 Heads in 2 coin flips is:

½ x ½= ¼

observer Sally clark

Two cot deaths in one family are not independent events. A Cot Death gene, for instance, would dramatically increase the likelihood of multiple Cot Deaths in one family. Sally Clarke spent 3 years in jail. Protests from the Royal Statistical Society followed. Prof Meadows was struck off the medical registrar in 2005. Sally Clark died of acute alcohol poisoning in her home in 2007. ( See Conviction by Maths Error)

The big question is ‘WHY DIDN’T HER DEFENCE LAWYERS QUESTION THE MATHS?’

OH, I forgot. Lawyers don’t have to do maths. But the bigger problem today is that young and old alike just can’t be bothered. I’m not talking about complicated math(s). 

Spend $5 and hand over a $20 bill and a check out employ needs the cash register to work out the answer. 

After all, Mickey Mouse math(s) costs us money and bad math(s) can kill. 

You’ve been warned!

MAY THE MATH(S) FORCE BE WITH YOU, LUKE!

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Stranger Things Math 2: Now You are the Galton Ball

July 22, 2022

Mathspig has become obsessed with the Galton Board since watching ELEVEN dropping discs into the peg board on STRANGER THINGS 4.

Now thanks to David Butler, University of Adelaide, you can turn your middle school class into Galton Balls. You can find 100 randomly generated instruction sheets for each human Galton Ball at David’s website. (Link above)

Ideally, you would have 3,000 students to do this activity. But the class exercise ends with something approximating a Normal Distribution or Bell Curve constructed from video tap casettes. And the NOrMal Distribution is spooky.

More on the Galton Board Math here.

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How the UK Aced Covid, sort of …

June 29, 2021

London yesterday. Spectators give a spontaneous standing ovation to Oxford Professor Sarah Gilbert (below), who was one of the scientists involved in developing the Astra-Zeneca vaccine and one of 100 key worker special guests on opening day. (The Age, 29 JUN, 2021)

Here are the Covid-19 Vaccination stats for the UK as of yesterday:

BBC, 29 JUN 2021

The UK recorded 22, 868 cases yesterday, but only 3 deaths.

The last time the UK recorded close to 23,000 cases was on 16 December 2020. That day, 613 deaths were announced. (The Age, 29 JUN 2021)

In 2019, in the UK, the total death toll was 616,014 or 1688 per day. Tragically but realistically elderly patients with multiple health issues are more likely to contract Covid and die from complications exacerbated by Covid-19 but not necessarily caused by the virus.

The death toll numbers are now encouragingly low in the UK despite the high infection rates from the highly contagious Covid Delta variant.

UPDATE:

On 9 July 2021, the UK recorded 35,707 cases and 29 Deaths. According to  Worldometer stats  (below), the case numbers and deaths are still rising. Too soon to celebrate even though the UK Freedom Day is only 10 days away.

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DAY 500 COVID-19 … some curious stats

June 7, 2021

Mathspig has tracked the Covid 19 Stats through the Worldometer tracker and calculated the AVERAGE NO. DEATHS per day at the 50607080, 100 , 200 DAY and the 1 YEAR mark ..

and now at the 500 DAY mark.

 

Note: Approx 1/3 of deaths around the world are due to accidents, diseases other than Covid, or suicide.

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Tennis Math: Is player height a BIG advantage? USA units

February 13, 2021

Metric version here.

The Australian Open is on at the moment in Melbourne in LOCKDOWN. (We have 1 community-acquired case. Tennis players are in a bubble.)

Is height a BIG advantage in tennis?

Here are the heights of 3 top seeds in the Australian  Open. (See graph below)

No. 1 Novak Djokovic    6ft 1″  (73 in)

No. 6 Alexander Zverev  6ft 6’   (78 in)

No. 8 Diego Schwartzman  5ft 7’  (67 in)

1. Does serve speed increase with height?

That would be an advantage. Here is a Height vs Serve Speed chart for the Top 6 seeds in the tournament:

Find serve speed data here.

There is NO CLEAR HEIGHT ADVANTAGE for serve speed.

2. Does the serve return rate increase with height?

Here is Diego Schwartzman (L) when he defeated Alexander Zverev (R ) in the 2019 US Open.

What is Schwartzman’s Super Power?

Schwartzman, the shortest player on the circuit (see graph above), tops the service returns stats. Highest 2nd serve return rate. Third highest 1st serve return rate. See data below. So agility, speed, and reaction times are also important factors in becoming a tennis star.

Go Schwartzee! Check data here.

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Tennis Maths: Is player height a BIG advantage? Metric

February 13, 2021

USA units post here.

The Australian Open is on at the moment in Melbourne in LOCKDOWN. (We have 1 community-acquired case. Tennis players are in a bubble.)

Is height a BIG advantage in tennis?

Here are the heights of 3 top seeds in the Australian  Open. (See graph below)

No. 1 Novak Djokovic  188cm

No. 6 Alexander Zverev  198cm

No. 8 Diego Schwartzman  170cm

1. Does serve speed increase with height?

That would be an advantage. Here is a Height vs Serve Speed chart for the Top 6 seeds in the tournament:

Find serve speed data here.

There is NO CLEAR HEIGHT ADVANTAGE for serve speed.

2. Does the serve return rate increase with height?

Here is Diego Schwartzman (L) when he defeated Alexander Zverev (R ) in the 2019 US Open.

What is Schwartzman’s Super Power?

Schwartzman, the shortest player on the circuit (see graph above), tops the service returns stats. Highest 2nd serve return rate. Third highest 1st serve return rate. See data below. So agility, speed, and reaction times are also important factors in becoming a tennis star.

Go Schwartzee! Check data here.

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1 Year COVID-19 … some curious stats

January 22, 2021

Mathspig has tracked the Covid 19 Stats through the Worldometer tracker and calculated the AVERAGE NO. DEATHS per day at the 50607080, 100 , 200 DAY mark …

and now at the 1 YEAR mark.

 


 


 


New York Times article here.

BBC article here.

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DAY 200 Covid-19 .. some curious stats

August 8, 2020

Mathspig has been tracking the Covid 19 Stats through the Worldometer tracker and calculating the AVERAGE NO. DEATHS per day at the 50, 60, 70, 80,, 100 and now, the 200 DAY mark. The average is still rising which, as the average started low, is not good news. What can I say? Mask Up, folks. 

MATHSPIG is reporting in from lockdown in MELBOURNE, Australia, where mask-wearing outdoors is now compulsory, there is an 8pm-5am curfew and travelling more than 5km from your residence is banned.

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Day 100 Covid-19 .. Some Curious Stats

May 5, 2020

Day 100 of World Wide Covid-19 data.

 

Finally, the New York Times published graphs that show the severity of the Coronavirus death rate compared with average weekly death rates. Here is the graph for New York City, which shows during the peak of the Covid-19 Crisis there were 6,000 more deaths per week than expected from the average weekly death rate, which was approx. 1,000.

The death rate was 6 times the average death rate. That is a terrifying statistic and explains why we are all in lockdown or are slowly coming out of lockdown. Meanwhile, in the rest of the world death tolls are still increasing.

Excellent Covid-19 stats update here.

 

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Day 80 Covid-19 .. Some Curious Stats

April 17, 2020

Many statisticians are using 3-day and 7-day averages to track the Covid-19 death and infection rates worldwide. 

 

Mathspig is using the total average of deaths per day since stats were first published from 22 JAN 2020. When this average drops … that will be a sign for cautious optimism. But not yet!!!!

Excellent Covid-19 stats update here.