Maybe we shouldn’t phrase it this way, since there is still quite a few days left of 365DoA, but you made it to the end! No, not THE end, but if you’ve been following along the past few posts we’ve introduced several seemingly disparate concepts and said, “don’t worry they are related,” without telling you how. Well today, like a magician showing you how to pull a rabbit from a hat, let’s connect the dots and explain why we introduced all those concepts!*

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September 29, 2019 | Categories: 365 Days of Academia - Year one | Tags: binomial distribution, cumulative distribution function, Education, gaussian, math, mathematics, normal distribution, Poisson, probability, probability density function, random variables, standard deviation, statistics | Leave a comment

Poisson’s return!

You have all been really patient with seeing how we tie these last few posts together and frankly I think that we are on track to do that in the next post. Today however we have one more thing to introduce then we can bring it all together, that would be yet another normal (again we usually refer to this as

the gaussian) distribution. If you recall I hinted at this a few days ago in the

Poisson pdf post. Let’s look at what this means and why we would want to use this.*

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September 28, 2019 | Categories: 365 Days of Academia - Year one | Tags: binomial distribution, cumulative distribution function, Education, math, mathematics, normal distribution, Poisson, probability, probability density function, random variables, standard deviation, statistics | Leave a comment

The binomial distribution, don’t worry we’ll get into it.

Well we haven’t covered the binomial distribution, but it should be vaguely familiar if you’ve been keeping up, specifically if you’ve already read about the

gaussian pdf. Today we are going to talk about what the binomial distribution is and how it relates to the normal distribution. So let’s get into it and see how it relates to some of the topics we’ve been covering!*

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September 27, 2019 | Categories: 365 Days of Academia - Year one | Tags: binomial distribution, cumulative distribution function, deMoivre, Education, Laplace, math, mathematics, normal distribution, probability, probability density function, random variables, standard deviation, statistics | Leave a comment

The gaussian (or normal) distribution demonstrated by plinko.

Well what a fun day it is! Today we are going to dive into some examples (or maybe just an example) of the gaussian (also known as the normal) distribution.

Last post we looked at the laplace distribution and discovered there aren’t a whole lot of uses for it because it is technically a special case of the exponential distribution. This isn’t the case with the gaussian, there are lots of really interesting things we can model using the distribution that are applicable to everyday life, so let’s get started!*

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September 23, 2019 | Categories: 365 Days of Academia - Year one | Tags: cumulative distribution function, Education, gaussian distribution, math, mathematics, normal distribution, probability, probability density function, random variables, standard deviation, statistics | Leave a comment

It’s true!

Now it seems like we are getting somewhere. Last post we covered z-score and you can read that if you haven’t already, it might be good to familiarize yourself with it since today we are going to talk p-value and the difference between z-score and p-value. That said, let’s dive in and look at the value in the p-value.*

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September 13, 2019 | Categories: 365 Days of Academia - Year one | Tags: independence, math, mean, normal distribution, p value, probability, standard deviation, statistical errors, statistics, z score | Leave a comment

So if you recall from last post… well I’m not linking to it. It was hellishly personal and frankly I’m still attempting to recover from it. We’re going to take it light this time and we can do a deep dive into something in another post. For that reason, let’s talk about z-score and what exactly it is, I mean we used it in this post and never defined it formally, so let’s do that. Let’s talk z-score!*

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September 12, 2019 | Categories: 365 Days of Academia - Year one | Tags: independence, math, mean, normal distribution, p value, probability, standard deviation, statistics, z score | Leave a comment

Technically we *could *call this parametric statistics part 2. However, since we are covering nonparametric statistics and more importantly the difference between parametric and nonparametric statistics, it would seem that this title makes more sense. As usual with a continuation, you probably want to start at the beginning where we define parametric statistics. Ready to get started?*

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September 10, 2019 | Categories: 365 Days of Academia - Year one | Tags: computer, Engineering, independence, math, nonparametric statistics, normal distribution, parametric statistics, probability, science, statistics | Leave a comment

It’s halloween time, we are talking about normally distributed data, so this fits, and I don’t want to hear otherwise!

Well my lovely readers, we’ve made it to the three week mark, 5.7% of the way through! Okay maybe that doesn’t seem like a big deal written like that, but hey it’s progress. So last post we had our independence day, or rather defined what it meant to have independent events vs. dependent events. We also said it was an important assumption in parametric statistics that our events are independent, but then we realized we never defined what parametric statistics even is, oops. So let’s stop dragging our feet and talk parametric statistics!*

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September 9, 2019 | Categories: 365 Days of Academia - Year one | Tags: computer, Engineering, independence, math, normal distribution, parametric statistics, probability, science, statistics | Leave a comment