Course: Statistical Methods

In the previous step we looked at how to get started with RStudio and import your dataset. In this step we’ll look at some basic commands you can run and …

In this activity graphical and numerical summary tools are illustrated using various data examples, and the R software is used for statistical computation.  Technical details are skipped for clarity, to …

In this activity you learn the topics of statistical inference and probability models which are crucial due to data variability and uncertainty, covering data as evidence for statistical inference.  Next, …

Consider the following quotations highlighting the main features of Statistics and Data Science: “Statistics is the science of learning from data.” – Davidian, M. and Louis, T. A. 2012. Why Statistics? …

Considering what we learned in the last step, if we want the sample to be sufficiently informative about the total population, it must be representative of that population. In order to ensure …

In statistics, we aim to understand large groups (populations) by studying smaller, manageable subsets known as samples. The data we collect from these samples is summarised using statistics, which help …

Let us consider two examples to illustrate the ideas discussed in the previous step. Example 1: Exit polls  Suppose that in an exit poll conducted during a governor election in …

“Data is not information, information is not knowledge, knowledge is not understanding, understanding is not wisdom.” – Clifford Stoll In order to gain understanding of complex processes and systems, we …

Statistical methods help us examine data and investigate questions in an objective manner. This involves three main components: Data acquisition: Stating a statistical question of interest and obtaining data that will …

The stability of frequencies can be used to find (at least approximately) the probabilities of events of interest using computer simulations. 1. Probability of 23% or more of 6s in …

Following from the previous activity on random experiments and samples, let us explore what will happen if we increase the number of simulated instances of 100 rolls of a fair …

Overview of the course Dr Leonid Bogachev Hello and welcome to our short course about the role of statistical models in data analysis. I hope it will be useful and …

Thank you for completing this course. I hope that you found learning about data science and discovering the basics of statistical methods and RStudio inspiring. You have developed professional skills …

Congratulations on completing the short course, as the first part of the module Statistical Methods taught at the University of Leeds! Over the past three weeks, you’ve embarked on a …

In this RStudio activity, you will practice your R skills by running simulations of random experiments to calculate the margin of error for each experiment. To achieve this, you will: …