The Poisson Distribution

The Poisson distribution is a discrete probability distribution that describes the number of events occurring in a fixed interval of time or area.

The Poisson distribution is useful for measuring how many events can occur within a given time horizon, such as the number of customers entering a shop in the next hour, or the number of pageviews on a website in the next minute, and so on.

The Poisson Distribution: Siméon-Denis Poisson
Siméon-Denis Poisson

Continue reading “The Poisson Distribution”

A Brief (Personal) Manifesto for SEO

The need I feel—the fruit of many years working in this field—is to affirm the decisive importance of basic scientific rigour in analysing traffic data, so that we can calibrate our SEO interventions with accuracy, and not merely “by gut feeling” (even though feelings do matter!).

The tools available to the SEO professional are countless, and yet it is undeniable that a sense of disappointment lingers within us. Too often we deal with data of apparent strategic importance that turn out, when put to the test, to be fallacious or imprecise—mere red herrings.

Continue reading “A Brief (Personal) Manifesto for SEO”

Descriptive Statistics: Measures of Variability (or Dispersion)

Measures of variability are used to describe the degree of dispersion of observations around a central tendency index.

In other words, measures of variability allow us to assess how data are spread around a central value, which may be represented, for example, by the mean or the median. They provide valuable information about the distribution of data, enabling a better understanding of the phenomenon under observation.

The techniques for measuring the variability of datasets are numerous. Among them, the most widely known (and most commonly used) are:

We will also visualise the concepts of central tendency and dispersion by revisiting skewness and introducing the concept of kurtosis.

Continue reading “Descriptive Statistics: Measures of Variability (or Dispersion)”

Probability Distributions: Discrete Distributions and the Binomial

A random variable (also called a stochastic variable) is a variable that can take on different values depending on some random phenomenon. In many statistics textbooks it is simply abbreviated as r.v. It is a numerical value.

When probability values are assigned to all the possible numerical values of a random variable x, the result is a probability distribution.

In even simpler terms: a random variable is a variable whose values are each associated with a probability of being observed. The set of all possible values of a random variable and their associated probabilities is called a probability distribution. The sum of all probabilities is 1.

Continue reading “Probability Distributions: Discrete Distributions and the Binomial”