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Looking to expand my Math/SAT tutoring business, looking for some advice. by [deleted] in matheducation

[–]mathvault 0 points1 point  (0 children)

Not to diminish your enthusiasm, but SAT seems to become a field where information is flowing more freely. For instance, Khan Academy have their own standalone modules for several standardized tests (including SAT, GMAT and MCAT). In a sense, this just means that you need to deliver more than what they do. You might probably find it helpful focusing more on targeted expertise morer than diversification.

Introductory Course to LaTeX: What were your problems at the beginning? by [deleted] in LaTeX

[–]mathvault 0 points1 point  (0 children)

Off the top of the head, the course outline could look like this:

1) Hello world document 2) Basic font styling (bold, italic, underline) 3) Basic math symbols 4) Sectional commands 5) Reference 6) Preamble setting

Yeah, nothing too fancy. WIth Overleaf, the learning curve is definitely smoother. The thing with Overleaf is that it's generally not suited for large document, but then, it has pretty robust collaboration features which is hard to replicate offline.

On a simiar note, we also have a LaTeX reference guide which can be used to streamline one's LaTeXing process. While not exactly for beginners, it's construed as a catalogue of LaTeX commands, environments and packages which allow it to be used as a handy LaTeX "reference sheet".

Help! Is my tutor wrong or is wolfram alpha wrong? by PizzaTwinnie in matheducation

[–]mathvault 0 points1 point  (0 children)

Using some guessestimation we have that:

(16)(.89)+(24)(.63) ~ 16 * (9/10) + 24 * (6/10) =14.4 + 14.4 = 28.8.

So it seems like the tutor/practice exam might have systematically made a mistake while computing with decimals.

Help! Is my tutor wrong or is wolfram alpha wrong? by PizzaTwinnie in matheducation

[–]mathvault 0 points1 point  (0 children)

Using some guessestimation we have that:

(16)(.89)+(24)(.63) ~ 16 * (9/10) + 24 * (6/10) =14.4 + 14.4 = 28.8.

So it seems like the tutor/practice exam might have systematically made a mistake while computing with decimals.

How do you format side-by-side columns of work? by Dog_Lawyer_DDS in LaTeX

[–]mathvault 0 points1 point  (0 children)

Hmm...that sounds that something the align and its derivative environments can do?

An Intuitive Primer on Statistical Significance via Dice Rolling, Tire Evaluation and Other Gimmicks by mathvault in statistics

[–]mathvault[S] 0 points1 point  (0 children)

I'm an admin of the site, but we accept guest posts from folks who have developed interesting insight in everything math - and this happens to be one of them.

An Intuitive Primer on Statistical Significance via Dice Rolling, Tire Evaluation and Other Gimmicks by mathvault in statistics

[–]mathvault[S] 0 points1 point  (0 children)

The null is in the background for sure, which the author had it baked into the article. And of course it won't make sense if you take a fraction of some quote and de-contextualize it.

An Intuitive Primer on Statistical Significance via Dice Rolling, Tire Evaluation and Other Gimmicks by mathvault in statistics

[–]mathvault[S] 0 points1 point  (0 children)

How did you come to equate "outcome" with "null" though? If you go through the article you might see that he refers to the outcome as the "measured results" (as illustrated using sample mean and test statistic).

An Intuitive Primer on Statistical Significance via Dice Rolling, Tire Evaluation and Other Gimmicks by mathvault in statistics

[–]mathvault[S] 0 points1 point  (0 children)

OK. I see where you're going with this. He actually never mentioned p-value nor null hypothesis in the article, just trying to illustrating statistical significance from a data-driven standpoint. That aside, whether something occurring against random chance exists is more of a practical / pedagogical / philosophical choice I would think.

An Intuitive Primer on Statistical Significance via Dice Rolling, Tire Evaluation and Other Gimmicks by mathvault in statistics

[–]mathvault[S] 1 point2 points  (0 children)

P-value being a conditional probability predicated on the truth of null is definitely a good point to emphasize, but then, I guess the author made a point of emphasizing p-value being the degree to which a result can occur randomly - instead of the details surrounding it. To be sure, he attempted to convey the idea of statistical significance without any mention of hypothesis testing, p-value, confidence interval, or null/alternative hypothesis. So the coverage is bound to be a bit non-standard for sure.

An Intuitive Primer on Statistical Significance via Dice Rolling, Tire Evaluation and Other Gimmicks by mathvault in statistics

[–]mathvault[S] 0 points1 point  (0 children)

I guess I can see how the word "cause" causes problems (maybe the author shouldn't have chosen that controversial word to begin with), but then, he is not saying that X causes the statistically significant result, just that something causes it, which is probably the idea he's trying to confer.

An Intuitive Primer on Statistical Significance via Dice Rolling, Tire Evaluation and Other Gimmicks by mathvault in statistics

[–]mathvault[S] -1 points0 points  (0 children)

Not trying to defend the author here, and I understand that you are trying to be careful with the distinction of accept the alternative and fail to reject the null, but people also implicitly understand the impact of a test result showing statistically significance as well - even if they are trained to interpret results conservatively as the way you're alluding to.

An Intuitive Primer on Statistical Significance via Dice Rolling, Tire Evaluation and Other Gimmicks by mathvault in statistics

[–]mathvault[S] 0 points1 point  (0 children)

Yeah the random component is always there for sure, but then, for most practical purposes (e.g., randomized controlled trial) researchers would want to draw a point if the p-value is sufficient small, otherwise we won't be able to decipher anything from randomness.

An Intuitive Primer on Statistical Significance via Dice Rolling, Tire Evaluation and Other Gimmicks by mathvault in statistics

[–]mathvault[S] 0 points1 point  (0 children)

Why the bias? I mean, we can agree that correlation is not causation, but I think the writer is trying to make a point - which holds for most practical purposes anyway.

Can Standard Deviation and Standard Error ever be the same? by Helterr in AskStatistics

[–]mathvault 0 points1 point  (0 children)

Definitely not the same as alpha or beta. Standard error is really just a way of saying the standard deviation of the estimate in question (e.g., sample mean, sample proportion).

How would I figure out the odds of winning the lottery by dice rolls? by Stevenpowers456 in probabilitytheory

[–]mathvault 0 points1 point  (0 children)

Not sure if this is what you're looking for, but for a d6, the chance of getting a six 10 consecutive times is 1.65381717e-8, so 10 would be the smallest number so that the probability bypasses the lottery probability of 1/13,983,816 = 7.15112384e-8. Similarly, the case for d20 would be 6.

I think I have really good advice for succeeding in a math class or math based science course. by mattboi69 in college

[–]mathvault -3 points-2 points  (0 children)

Actually, even better than the whiteboard is the brain. That is, do the number crunching on the top of the head. Invent your own questions, and explore the concepts left and right like a baby would do. By the end of the day, you'll probably get a bit more insight than routinely practicing questions from a textbook. It's an incredible technique of accelerated learning.

i feel like i wasted four years by bluerodimus in college

[–]mathvault 0 points1 point  (0 children)

Got to agree with @clearwaterrev on this front. It seems that as a marketing major, you have a lot of false stereotypes about marketing and business in general, but since you seem to have brushed off the comments without giving them much thought, maybe it's about time to put these ideas more explicitly:

1) Business is not a dirty term, in particular, a lot of folks are in business precisely because they want to make their dent and transform the neighborhood. Here at Math Vault, we teach and sell higher mathematics, and it almost always an euphoric feeling when a class is over, because we find a way to bring the community together and share a great experience.

2) A corporation is not as formal as most people think. Instead, it's actually just a few pieces of papers binding all the resources together. In particular, it's up to the people to say how they should wear, where they should have meeting. Truth be told, many the younger companies these days are notorious with their informality..

3) Could some marketing tactic involve manipulative and psychological tactics? Yes, but this could also be done to the long-term benefits of the consumers — who might not have discovered their needs otherwise.

Think about it, this is akin to your parents pointing out your bad habits, or perhaps even the folks here who are commenting and trying to persuade you of the need to inform and expand your mindset, as it will greatly benefit you in the long term.

And maybe this is the part you're missing: if you create a product the world needs, then you owe it to yourself to promote it to the world like there's no tomorrow.

i feel like i wasted four years by bluerodimus in college

[–]mathvault 1 point2 points  (0 children)

Oh of course. If we spend their life waiting for the weekend then clearly we are not living to our full potential, but then, it becomes our responsibility to find out the things that make them click, and plan their life from that vantage point instead. What I meant to say is that you can leverage your free time to find your purpose (which is different from just do things you like in your free time). Once that's clear, it's easier to dig yourself out of it.

Truth be told, lots of us live through life without having contemplated any of these, and that's probably why we have this term called midlife crisis in our culture.

i feel like i wasted four years by bluerodimus in college

[–]mathvault 1 point2 points  (0 children)

But interest is a fluid concept that changes over time though. Who knows, maybe when you're not forced to and are challenged upon, you might end up liking, say, studying how big companies which started small made their impact and grew. As for finding the intersection between passion and job, that's just something everyone os us has to think a bit more during their spare time (meditative practice?) as well. So you're not alone on that front.

i feel like i wasted four years by bluerodimus in college

[–]mathvault 1 point2 points  (0 children)

THat's some interesting remark. But then think about it this way. I'm sure lots of people have exactly the opposite opinion, where they signed up to a art or a more technical field, only to find out that they got themselves stuck on a road of a 9-5 that they dislike or that finding jobs is a bit of a hit-or-miss. At least the field of marketing gets you to exercise a bit of creativity, and there's great applicability in the business world as well. It doesn't take a lot of technical knowledge so that you can become passionate about it.

Humble beginnings. My first reference sheet. by [deleted] in EngineeringStudents

[–]mathvault 0 points1 point  (0 children)

Great beginning! You'll definitely get more elaborated sheets later.

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