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Screenshot 2021-08-20 at 20 42 53

Products clusters : a geographical analysis

Abstract

While the paper establishes the validity of the Tesco 1.0 dataset we propose to use this dataset to study if we can find some similarity in the typical products consumed within geographically close areas. To do so, we will study the clusters of areas computed out of their products consumption: areas with similar typical product consumption will be clustered together. And then we will compare these clusters with the geographic disposition of the areas. Such a clustering could help grocery shop companies to adapt their product according to the areas where they operate. Moreover, to provide a better understanding of the data we will create an interactive visualization. The latter will represent typical food consumption of London areas on a map of the city with different levels of aggregation, over different periods of time and with the possibility of choosing different attributes of the typical product. This visualisation will help assess the validity of our findings. Finally, we will spend some time analysing the actual output of the clustering in terms of the typical product of the clusters. Using the dataset of diabetes prevalence, we will try to quantify how much information is contained in the clusters and how usefull can it be (study the impact of the cluster assignment as features of a linear regression compared to the base regressor of the Tesco paper).

Research questions

  1. Are similar areas (in terms of typical products) geographically close?
  2. Can we naturally cluster areas geographically when it comes to food consumption in London?
  3. How do those clusters differ when we let the aggregation level vary?
  4. Is it possible to use techniques similar to those presented in the Tesco paper to validate the clustering results? Does the clustering contain valid and usable information?
  5. In the context of an advertising campaign, which locations should be associated with which kinds of products?

Proposed datasets

  1. Tesco grocery 1.0 -- This dataset contains all the necessary information to create the clusters described above. It is more general than the version made available in the course since it contains information for each month of 2015 as well as for the entire year.
  2. Diabetes estimates Osward -- This is the dataset used in the course to perform the first replication.
  3. Statistical GIS Boundary Files for London -- This dataset will help us to relate the areas of the Tesco dataset with their real geographical positions, needed for the visualization.

Methods :

  1. For the visualization task, we will use the library geopandas and bokeh. In this visualization, we will include a button and checkboxes for the time (month) variable of the represented data, the aggregation (ward,lsoa,msoa) level, and the feature of the typical product that will allow the user to visualize only a subset of the dataset.
  2. For the clustering part, we will cluster the areas according to the product consumption of their products using the two following methods: 2.1. Apply the k means algorithm on the data (need also to find suitable k) 2.2. Try to geographically validate the clustering using the following methods:
    • Use techniques seen in class to select the right value of k and use dimensionality reduction to visualize the clusters in 2D
    • Find relevant geographical related metrics to evaluate the good-ness of fit. They will help us find formal evidence that there is (or not) a relation between geography and the clustering. For instance, we could use different distance metrics when the silhouette score is computed. We also plan to use a graph-based approach to compute such metrics (vertices are areas and edges link two areas if they share a physical border).
  3. Regarding the analysis of the clustering output, the following methods will be applied: 3.1. For each cluster compute its typical product (average of the typical product of the areas contained in the cluster) and study the differences observed. We will then relate those differences in terms of the metabolic syndrome-related to diabetes prevalence (found in the Tesco paper). 3.2. Quantify the predictive power of the clustering assignments to assess the information contained in the clustering. In order to do so, we will replicate the regression model (table 2. of the paper) on the number of diabetes prevalence in London and analyse the improvements (R2 for instance) when the clusters are added as dependent variable to the model compared to the base model of the paper.
  4. Conclude by proposing other possible practical usages of the clustering output.

Timeline and contributions :

Week 1 : vizualisation

Task Team member(s) work hours
Literature research Lucas Giordano 2h
Architecture and state (data handling) Lucas Giordano & Augustin 2h
Vizual components (buttons,...) Lucas Gruaz 2h
Handling user interactions Augustin & Lucas Gruaz 2h
Putting everything together and code cleaning Lucas Giordano 2h
Trying to convert python code into JS for data story (without sucess) Lucas Giordano 6h

Week 2 : cluster validation

Task Team member(s) work hours
K-means + dimensionality reduction Augustin 1h
Naive Silhouette analysis Lucas Giordano 1h
Cluster vizualization Lucas Giordano 2h
Geographical Silhouette Lucas Giordano & Augustin 4h
Geographical graph analysis Lucas Gruaz & Augustin 4h
Border scores Lucas Giordano & Augustin 4h
Data cleaning + incorporate vizualization Lucas Giordano & Gruaz 3h

Week 3 : cluster analysis & data story

Task Team member(s) work hours
Cluster typical product Lucas Gruaz 2h
Replication of regression model (Tesco) Lucas Giordano 2h
Cluster regression analysis Lucas Gruaz & Augustin 2h
Conclusion Lucas Gruaz 1h
Data cleaning Lucas Gruaz 2h

Delivrables data story and presentation:

Task Team member(s) work hours
Notebook comments and markdown Lucas Giordano & Gruaz 3h
Github pages literature research Lucas Giordano & Augustin 2h
Data story Lucas Giordano & Augustin 5h
Presentation Lucas Gruaz & Augustin 3h

Total contribution:

Team member work hours
Lucas Giordano 38h
Lucas Gruaz 24h
Augustin Kapps 35h

Notes to the reader

Organisation of the repository

In order to be able to run our notebook, you should have a folder structure similar to:

.
├── data                                      # Data folder
│ ├── diabetes_estimates_osward_2016.csv      # [Diabetes estimates Osward](https://drive.google.com/drive/folders/19mY0rxtHkAXRuO3O4l__S2Ru2YgcJVIA)
│ ├── all                                     # folder containing [Tesco grocery 1.0](https://figshare.com/articles/Area-level_grocery_purchases/7796666)
│ │  ├── Apr_borough_grocery.csv              # example of file
│ │  ├── ...
│ ├── statistical-gis-boundaries-london       # folder containing the unzipped [Statistical GIS Boundary Files for London](https://data.london.gov.uk/dataset/statistical-gis-boundary-files-london) 
│ │  ├── ESRI                                 # contains the data to be loaded by geopandas
│ │  │  ├── London_Borough_Excluding_MHW.dbf  # example of file
│ │  │  ├── ...
│ │  ├── ...
├── images                              # Contains the ouput images and html used for the data story
├── extension.ipynb                     # Deliverable notebook for our extension
├── vizu.ipynb                          # Notebook containing only the vizualisations (if the reader only was to see the interactive viz)
├── Data Extraction.ipynb               # Notebook that generates the subset of tesco used in this analysis
└── README.md               

Regarding the data folder a zip file can be downloaded here. It only remains to place it under the root directory of the repository and unzip it to be able to run the following notebooks.

extension.ipynb is therefore the "single" notebook that we are supposed to deliver for the P4 submission.

Note: vizu.ipynb is only there for the people who read our data story but still want to play with the interactive vizualisation without having to go through the entire deliverable notebook. Furthermore, in the previously mentioned drive folder, the zip should contain a file named tesco.csv. The latter contains all the revelant information from the original Tesco dataset for this analysis. It is nicely indexable and makes easier for us to query information. Alternatively, you could simply run the notebook Data Extraction.ipynb to generate it.

Dependencies requirement

Furthermore, you should have the following additional libraries installed

Library
Geopandas
Bokeh

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