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ONLINE COURSE – Advancing in R (ADVR01) This course will be delivered live

Event Date
## Monday, March 25th, 2024

This is a ‘LIVE COURSE’ – the instructor will be delivering lectures and coaching attendees through the accompanying computer practical’s via video link, a good internet connection is essential.

TIME ZONE – Ireland local time – however all sessions will be recorded and made available allowing attendees from different time zones to follow.

Please email oliverhooker@prstatistics.com for full details or to discuss how we can accommodate you.

This course is designed to provide attendees with a comprehensive understanding of

statistical modelling and its applications in various fields, such as ecology, biology, sociology,

agriculture, and health. We cover all foundational aspects of modelling, including all coding

aspects, ranging from data wrangling, visualisation and exploratory data analysis, to

generalized linear mixed models, assessing goodness-of-fit and carrying out model

comparison.

**Data wrangling**

For data wrangling, we focus on tools provided by R's tidyverse. Data wrangling is the art of

taking raw and messy data and formatting and cleaning it so that data analysis and

visualization may be performed on it. Done poorly, it can be a time consuming, laborious,

and error-prone. Fortunately, the tools provided by R's tidyverse allow us to do data

wrangling in a fast, efficient, and high-level manner, which can have dramatic consequence

for ease and speed with which we analyse data. We start with how to read data of different

types into R, we then cover in detail all the dplyr tools such as select, filter, mutate, and

others. Here, we will also cover the pipe operator (%>%) to create data wrangling pipelines

that take raw messy data on the one end and return cleaned tidy data on the other. We

then cover how to perform descriptive or summary statistics on our data using dplyr’s

group_by and summarise functions. We then turn to combining and merging data. Here, we

will consider how to concatenate data frames, including concatenating all data files in a

folder, as well as cover the powerful SQL-like join operations that allow us to merge

information in different data frames. The final topic we will consider is how to “pivot” data

from a “wide” to “long” format and back using tidyr’s pivot_longer and pivot_wider

functions.

**Data visualisation**

For visualisation, we focus on the ggplot2 package. We begin by providing a brief overview

of the general principles data visualization, and an overview of the general principles behind

ggplot. We then proceed to cover the major types of plots for visualizing distributions of

univariate data: histograms, density plots, barplots, and Tukey boxplots. In all of these

cases, we will consider how to visualize multiple distributions simultaneously on the same

plot using different colours and "facet" plots. We then turn to the visualization of bivariate

data using scatterplots. Here, we will explore how to apply linear and nonlinear smoothing

functions to the data, how to add marginal histograms to the scatterplot, add labels to

points, and scale each point by the value of a third variable. We then cover some additional

plot types that are often related but not identical to those major types covered during the

beginning of the course: frequency polygons, area plots, line plots, uncertainty plots, violin

plots, and geospatial mapping. We then consider more fine grained control of the plot by

changing axis scales, axis labels, axis tick points, colour palettes, and ggplot "themes".

Finally, we consider how to make plots for presentations and publications. Here, we will introduce how to insert plots into documents using RMarkdown, and also how to create

labelled grids of subplots of the kind seen in many published articles.

**Generalized linear models**

Generalized linear models are generalizations of linear regression models for situations

where the outcome variable is, for example, a binary, or ordinal, or count variable, etc. The

specific models we cover include binary, binomial, and categorical logistic regression,

Poisson and negative binomial regression for count variables, as well as extensions for

overdispersed and zero-inflated data. We begin by providing a brief overview of the normal

general linear model. Understanding this model is vital for the proper understanding of how

it is generalized in generalized linear models. Next, we introduce the widely used binary

logistic regression model, which is is a regression model for when the outcome variable is

binary. Next, we cover the binomial logistic regression, and the multinomial case, which is

for modelling outcomes variables that are polychotomous, i.e., have more than two

categorically distinct values. We will then cover Poisson regression, which is widely used for

modelling outcome variables that are counts (i.e the number of times something has

happened). We then cover extensions to accommodate overdispersion, starting with the

quasi-likelihood approach, then covering the negative binomial and beta-binomial models

for counts and discrete proportions, respectively. Finally, we will cover zero-inflated Poisson

and negative binomial models, which are for count data with excessive numbers of zero

observations.

**Mixed models**

We will focus primarily on multilevel linear models, but also cover multilevel generalized

linear models. Likewise, we will also describe Bayesian approaches to multilevel modelling.

We will begin by focusing on random effects multilevel models. These models make it clear

how multilevel models are in fact models of models. In addition, random effects models

serve as a solid basis for understanding mixed effects, i.e. fixed and random effects, models.

In this coverage of random effects, we will also cover the important concepts of statistical

shrinkage in the estimation of effects, as well as intraclass correlation. We then proceed to

cover linear mixed effects models, particularly focusing on varying intercept and/or varying

slopes regression models. We will then cover further aspects of linear mixed effects models,

including multilevel models for nested and crossed data data, and group level predictor

variables. Towards the end of the course we also cover generalized linear mixed models

(GLMMs), how to accommodate overdispersion through individual-level random effects, as

well as Bayesian approaches to multilevel levels using the brms R package.

**Model selection and model simplification**

Throughout the course we consider the fundamental issue of how to measure model fit and

a model’s predictive performance, and discuss a wide range of other major model fit

measurement concepts like likelihood, log likelihood, deviance, and residual sums of

squares. We thoroughly explore nested model comparison, particularly in general and

generalized linear models, and their mixed effects counterparts. We discuss out-of-sample

generalization, and introduce leave-one-out cross-validation and the Akaike Information Criterion (AIC). We also cover general concepts and methods related to variable selection,

including stepwise regression, ridge regression, Lasso, and elastic nets. Finally, we turn to

model averaging, which may represent a preferable alternative to model selection.

This course is aimed at anyone who is interested in using R for data science or statistics. R is widely used in all areas of academic scientific research, and also widely throughout the public, and private sector.

Delivered remotely

Time zone – GMT+1

Availability – TBC

Duration – 3 x 1/2 days

Contact hours – Approx. 12 hours

ECT’s – Equal to 1 ECT’s

Language – English

This course will be largely practical, hands-on, and workshop based. For each topic, there will first be some lecture style presentation, i.e., using slides or blackboard, to introduce and explain key concepts and theories. Then, we will cover how to perform the various statistical analyses using R. Any code that the instructor produces during these sessions will be uploaded to a publicly available GitHub site after each session. For the breaks between sessions, and between days, optional exercises will be provided. Solutions to these exercises and brief discussions of them will take place after each break.

The course will take place online using Zoom. On each day, the live video broadcasts will occur during UK local time at:

• 10am-12pm

• 1pm-3pm

• 4pm-6pm

All sessions will be video recorded and made available to all attendees as soon as possible, hopefully soon after each 2hr session.

If some sessions are not at a convenient time due to different time zones, attendees are encouraged to join as many of the live broadcasts as possible. For example, attendees from North America may be able to join the live sessions from 3pm-5pm and 6pm-8pm, and then catch up with the 12pm-2pm recorded session once it is uploaded. By joining any live sessions that are possible will allow attendees to benefit from asking questions and having discussions, rather than just watching prerecorded sessions.

At the start of the first day, we will ensure that everyone is comfortable with how Zoom works, and we’ll discuss the procedure for asking questions and raising comments.

Although not strictly required, using a large monitor or preferably even a second monitor will make the learning experience better, as you will be able to see my RStudio and your own RStudio simultaneously.

All the sessions will be video recorded, and made available immediately on a private video hosting website. Any materials, such as slides, data sets, etc., will be shared via GitHub

A basic understanding of statistical concepts. Specifically, generalised linear regression models, statistical significance, hypothesis testing.

Familiarity with R. Ability to import/export data, manipulate data frames, fit basic statistical models & generate simple exploratory and diagnostic plots.

A laptop computer with a working version of R or RStudio is required. R and RStudio are both available as free and open source software for PCs, Macs, and Linux computers.

Cancellations are accepted up to 28 days before the course start date subject to a 25% cancellation fee. Cancellations later than this may be considered, contact oliverhooker@prstatistics.com. Failure to attend will result in the full cost of the course being charged. In the unfortunate event that a course is cancelled due to unforeseen circumstances a full refund of the course fees will be credited.

Day 1

Topic 1: Reading in data. We will begin by reading in data into R using tools such

as readr and readxl. Almost all types of data can be read into R, and here we will consider

many of the main types, such as csv, xlsx, sav, etc. Here, we will also consider how to control

how data are parsed, e.g., so that they are read as dates, numbers, strings, etc.

Topic 2: Wrangling with dplyr. We will next cover the very powerful dplyr R package. This

package supplies a number of so-called "verbs" — select, rename, slice, filter, mutate, arrange, etc. — each of which focuses on a key data manipulation tools, such as selecting or changing variables. All of these verbs can be chained together using "pipes" (represented by %>%). Together, these create powerful data wrangling pipelines that take raw data as input and return cleaned data as output. Here, we will also learn about the key concept of "tidy data", which is roughly where each row of a data frame is an observation and each column is a variable.

Topic 3: Summarizing data. The summarize and group_by tools in dplyr can be used with

great effect to summarize data using descriptive statistics.

Topic 4: Merging and joining data frames. There are multiple ways to combine data frames,

with the simplest being "bind" operations, which are effectively horizontal or vertical

concatenations. Much more powerful are the SQL-like "join" operations. Here, we will

consider the inner_join, left_join, right_join, full_join operations. In this section, we will also

consider how to use purrr to read in and automatically merge large sets of files.

Topic 5: Pivoting data. Sometimes we need to change data frames from "long" to "wide"

formats. The R package tidyr provides the tools pivot_longer and pivot_wider for doing this.

Day 2

Topic 1: What is data visualization. Data visualization is a means to explore and understand

our data and should be a major part of any data analysis. Here, we briefly discuss why data

visualization is so important and what the major principles behind it are.

Topic 2: Introducing ggplot. Though there are many options for visualization in R, ggplot is

simply the best. Here, we briefly introduce the major principles behind how ggplot works,

namely how it is a layered grammar of graphics.

Topic 3: Visualizing univariate data. Here, we cover a set of major tools for visualizing

distributions over single variables: histograms, density plots, barplots, Tukey boxplots. In each case, we will explore how to plot multiple groups of data simultaneously using different colours and also using facet plots.

Topic 4: Scatterplots. Scatterplots and their variants are used to visualize bivariate data.

Here, in addition to covering how to visualize multiple groups using colours and facets, we

will also cover how to provide marginal plots on the scatterplots, labels to points, and how

to obtain linear and nonlinear smoothing of the plots.

Topic 5: More plot types. Having already covered the most widely used general purpose

plots, we now turn to cover a range of other major plot types: frequency polygons, area

plots, line plots, uncertainty plots, violin plots, and geospatial mapping. Each of these are

important and widely used types of plots, and knowing them will expand your repertoire.

Topic 6: Fine control of plots. Thus far, we will have mostly used the default for the plot

styles and layouts. Here, we will introduce how to modify things like the limits and scales on

the axes, the positions and nature of the axis ticks, the colour palettes that are used, and

the different types of ggplot themes that are available.

Topic 7: Plots for publications and presentations. Thus far, we have primarily focused on

data visualization as a means of interactively exploring data. Often, however, we also want

to present our plots in, for example, published articles or in slide presentations. It is simple

to save a plot in different file formats, and then insert them into a document. However, a

much more efficient way of doing this is to use RMarkdown to run the R code and

automatically insert the resulting figure into a, for example, Word document, pdf document,

html page, etc. In addition, here we will also cover how to make labelled grids of subplots

like those found in many scientific articles.

Day 3

Topic 1: The general linear model. We begin by providing an overview of the normal, as in

normal distribution, general linear model, including using categorical predictor variables.

Although this model is not the focus of the course, it is the foundation on which generalized

linear models are based and so must be understood to understand generalized linear

models.

Topic 2: Binary logistic regression. Our first generalized linear model is the binary logistic

regression model, for use when modelling binary outcome data. We will present the

assumed theoretical model behind logistic regression, implement it using R’s glm, and then

show how to interpret its results, perform predictions, and (nested) model comparisons.

Topic 3: Binomial logistic regression. Here, we show how the binary logistic regression can

be extended to deal with data on discrete proportions. We will also present alternative link

functions to the logit, such as the probit and complementary log-log links.

Topic 4: Categorical logistic regression. Categorical logistic regression, also known as multinomial logistic regression, is for modelling polychotomous data, i.e. data taking more than two categorically distinct values. Categorical logistic regression is based on an extension of the binary logistic regression case.

Topic 5: Poisson regression. Poisson regression is a widely used technique for modelling

count data, i.e., data where the variable denotes the number of times an event has occurred.

Topic 1: Measuring model fit. Here, the concept of conditional probability of the observed

data, or of future data, is of vital importance. This is intimately related, though distinct, to

concept of likelihood and the likelihood function, which is in turn related to the concept of

the log likelihood or deviance of a model. Here, we also show how these concepts are

related to concepts of residual sums of squares, root mean square error (rmse), and

deviance residuals.

Topic 2: Nested model comparison. In this section, we cover how to do nested model

comparison in general linear models, generalized linear models, and their mixed effects

(multilevel) counterparts. First, we precisely define what is meant by a nested model. Then

we show how nested model comparison can be accomplished in general linear models with

F tests, which we will also discuss in relation to R^2 and adjusted R^2. In generalized linear

models, we can accomplish nested model comparison using deviance based chi-square tests

via Wilks’s theorem.

Topic 3: Overdispersion models. The quasi-likelihood approach for both the Poisson and

binomial models. Negative binomial regression. The negative binomial model is, like the

Poisson regression model, used for unbounded count data, but it is less restrictive than

Poisson regression, specifically by dealing with overdispersed data. Beta-binomial

regression. The beta-binomial model is an overdispersed alternative to the binomial.

Topic 4: Zero inflated models. Zero inflated count data is where there are excessive

numbers of zero counts that can be modelled using either a Poisson or negative binomial

model. Zero inflated Poisson or negative binomial models are types of latent variable

models.

Topic 5: Random effects models. The defining feature of multilevel models is that they are

models of models. We begin by using a binomial random effects model to illustrate this.

Specifically, we show how multilevel models are models of the variability in models of

different clusters or groups of data.

Topic 6: Normal random effects models. Normal, as in normal distribution, random effects

models are the key to understanding the more general and widely used linear mixed effects

models. Here, we also cover the key concepts of statistical shrinkage and intraclass

correlation.

Day 5

Topic 1: Out of sample predictive performance: cross validation and information criteria.

Here, we describe how to measure out of sample predictive performance, which measures

how well a model can generalize to new data. This is arguably the gold-standard for

evaluating any statistical models. A practical means to measure out of sample predictive

performance is cross-validation, especially leave-one-out cross-validation. Leave-one-out

cross-validation can, in relatively simple models, be approximated by Akaike Information

Criterion (AIC), which can be exceptionally simple to calculate. We will discuss how to

interpret AIC values, and describe other related information criteria, some of which will be

used in more detail in later sections.

Topic 2: Linear mixed effects models. Next, we turn to multilevel linear models, also known

as linear mixed effects models. We specifically deal with the cases of varying intercept

and/or varying slope linear regression models.

Topic 3: Multilevel models for nested data. Here, we will consider multilevel linear models

for nested, as in groups of groups, data. As an example, we will look at multilevel linear

models applied to data from students within classes that are themselves within different

schools, and where we model the variability of effects across the classes and across the

schools.

Topic 4: Multilevel models for crossed data. In some multilevel models, each observation

occurs in multiple groups, but these groups are not nested. For example, animals may be

members of different species and in different locations, but the species are not subsets of

locations, nor vice versa. These are known as crossed or multiclass data structures.

Topic 5: Group level predictors. In some multilevel regression models, predictor variable are

sometimes associated with individuals, and sometimes associated with their groups. In this

section, we consider how to handle these two situations.

Topic 6: Generalized linear mixed models (GLMMs). Here, we extend the linear mixed model

to the exponential family of distributions and showcase an example using the Poisson

GLMM. We also cover how to accommodate overdispersion through individual-level

random effects.

Topic 7: Bayesian multilevel models. All of the models that we have considered can be

handled, often more easily, using Bayesian models. Here, we provide an brief introduction

to Bayesian models and how to perform examples of the models that we have considered

using Bayesian methods and the brms R package.

Topic 8: Variable selection. Variable selection is a type of nested model comparison. It is

also one of the most widely used model selection methods, and variable selection of some

kind is almost always done routinely in all data analysis. In particular, we cover stepwise

regression (and its limitations), all subsets methods, ridge regression, Lasso, and elastic nets.

Topic 9: Model averaging. Rather than selecting one model from a set of candidates, it is

arguably always better perform model averaging, using all the candidates models, weighted by the predictive performance. We show how to perform model average using information

criteria.

**Dr. Rafael De Andrade Moral**

Rafael is an Associate Professor of Statistics at Maynooth University, Ireland. With a background in Biology and a PhD in Statistics from the University of São Paulo, Rafael has a deep passion for teaching and conducting research in statistical modelling applied to Ecology, Wildlife Management, Agriculture, and Environmental Science. As director of the Theoretical and Statistical Ecology Group, Rafael brings together a community of researchers who use mathematical and statistical tools to better understand the natural world. As an alternative teaching strategy, Rafael has been producing music videos and parodies to promote Statistics in social media and in the classroom. His personal webpage can be found **here**