If you are an Instagram user, at some point, you care going to be interested in the various metrics such as followers, number of posts by a certain user etc. You might want to compare these metrics between different users or to find out the number of posts with a certain hashtag etc. The casual way to do it is to go the relevant Instagram page and look at the metric and write it down somewhere, and go to next and so on. Clearly this is not ideal strategy if you want to look at a few hundred pages. It would be neat to get this data in an automated manner.
In a standard statistical test, one assumes a null hypothesis, performs a statistical test and computes a p-value. The estimated p-value is compared to a predetermined threshold (usually 0.05). If the estimated p-value is greater than 0.05 (say 0.2), it means that there is a 20% chance of obtaining the current result if the null hypothesis is true. Since we decided our threshold as 5%, the 20% is too high to reject the null hypothesis and we accept the null hypothesis. Now, if the estimated p-value was less than 0.05 (say 0.02), there is a 2% probability of obtaining the observed result if the null hypothesis is true. Since 2% is a very low probability and it is below our threshold of 5%, we reject the null hypothesis and accept an alternative hypothesis.
The 5% threshold, although giving us high confidence, is an arbitrary value and does not absolutely guarantee an outcome. There is still the possibility that we are wrong 5% of the time. This is known as the probability of a Type I error. A Type I error occurs when a researcher falsely concludes that an observed difference is real, when in fact, there is no difference.
That was the story of a single statistical test. With large data, it is common for data analysts to do multiple statistical tests on the same data. Similar to a single test, each test in a multiple test has the 5% Type 1 error rate. And this accumulates for the number of tests.
It may seem like the world is descending into total chaos, violence, and destruction. War in Syria, Ukraine, Yemen, Islamic state, migrant crisis, Ebola, plane crashes, earthquakes, tsunamis and what-not. The more news you watch, the more worried you will be. This is because the news outlets tend to focus on spectacularly negative instances. Violence, atrocities, and hatred are thrown into the spotlight and into the lives of common people. With the ever increasing digital connectivity, it is easy to disseminate information and to absorb information at an unprecedented level. Relatively smaller incidents have a larger voice. As said by Ray Kurzwil, “The world isn’t getting worse, our information is getting better”. To appreciate the world we live in, we have to put things into a wider context.
The fact is that humanity has never lived in a better time than now in pretty much every aspect you look at; war, violence, diseases, poverty are all at the lowest it has ever been. Of course, there is still a long way to go, but this is the best it has been since the beginning of humankind. To prove my point, here we evaluate human progress using some real data and simple time-series plots. Most of the data and information was obtained from OurWorldInData.
STRUCTURE is a popular software used by biologists to infer the population structure of organisms using genetic markers. Barplots in STRUCTURE have an option to sort individuals by Q. We are going to figure out what this means and how it is done.
This was inspired by the disease incidence rate in the US featured on the Wall Street Journal which I mentioned in one of the previous posts. The disease incidence dataset was originally used in this article in the New England Journal of Medicine. Here, I use the measles level 1 incidence (cases per 100,000 people) dataset obtained as a .csv file from Project Tycho. Download the .csv file here or head over to Project Tycho for other datasets.
In this post, we will look into creating a neat, clean and elegant heatmap in R. No clustering, no dendrograms, no trace lines, no bullshit. We will go through some basic data cleanup, reformatting and finally plotting. We go through this step by step. For the whole code with minimal explanations, scroll to the bottom of the page.