As a data scientist, it is important to have a deep understanding of statistics. Here, I introduce basic statistical concepts and quantities.
Types of measurements and variables
Important statistical concepts include the following:
- Types of measurement scales
- Nomenclature for variables: dependent vs independent variables
You should definitely know about the following, frequently used statistical quantities:
- Centrality measures: mean and median, mode
- Measure of dispersion: standard deviation, variance, covariance, interquartile-range
- Interval estimates: confidence intervals
Commonly occuring probability distributions are:
- Uniform distribution: all values are equally likely
- Normal distribution: a bell-shaped curve, typical for many population characteristics (e.g. IQs, heights)
- Poisson distribution: an integer distribution that is ideal for count data
- Exponential distribution: a heavy-tailed distribution
Posts on basic statistics
You can find eplanations of basic statistical concepts and their use in R in the following posts.
R is a great tool for working with distributions. However, one has to know which specific function is the right wrong. Here, I’ll discuss which functions are available for dealing with the normal distribution: dnorm, pnorm, qnorm, and rnorm.
Two of the most commonly used statistical measures are the mean and the median. Both measures indicate the central value of a distribution, that is, the value at which one would expect the majority of data points to lie. In many applications, however, it is useful to think about which of the two measures is more appropriate given the data at hand. In this post, we’ll investigate the differences between both quantities and give recommendations when one should be preferred over the other.