# Statistical Analyses

This page is dedicated to a collaboration between The Laziali and Cheuk Hei Ho. Focusing on traditional video analysis and a data-driven approach to analyze football tactics and strategies, here, you will find in-depth data on Lazio’s matches. From the quantity and location of shots to expected goals and pass networks, we are extremely happy to announce this partnership with Cheuk. You can visit Tactics Platform to view more of his work.

### Overview

There will be three separate analyses created by Cheuk for each match.

##### 1. Expected Goals (xG) Step Plot.

The first analysis is an Expected Goals (xG) Step Plot. This represents a summary of all simulations; the y-axis represents the cumulative xG (how many goals should be scored) and the x-axis represents time. In addition, the diagram above summarizes every shot taken by each club. Each shot is represented by a step and the height of the step measures the xG outcome of that shot; the higher the step, the more likely that the shot taken should have been converted. Furthermore, a dot with a name on the ‘Expected Goals Step Plot’ represents when a goal was scored and who the goal was scored by. Finally, the colored bar in the top left of the diagram shows the probability of each club winning the match or a draw occurring.

##### 2. Outcome Probability Bar Chart

The second analysis is an Outcome Probability Bar Chart. Each chart is a summary of a 10,000-time simulation of the probability of how many goals each team will score; the colored bar is the actual number of goals each team scored. Please refer to the example above.

##### 3. Pass Network Plot & Shot Location Plot

The third analysis is a combination of a Pass Network Plot and a Shot Location Plot. Firstly, it shows the number of passes completed by each side in the match. Secondly, the diagram outlines the most active players for each team. Each player is represented by a node; the size of each node denotes the number of touches each player had. Thirdly, the diagram indicates the pass connections between teammates. These connections are the shaded grey lines throughout the plots; the size and shade of the line between players indicates the frequency of a pass connection. It is important to note that the direction of each connection is not shown. Finally, this diagram shows the coordinates of each shot. The shots are plotted as light grey dots while goals are plotted as dark blue dots. The size of each dot represents the xG; the bigger the dot, the higher the chance that this opportunity should have found the back of the net (been a dark blue dot).