Data Analysis, Cleaning and visualisation
Exploratory Data Analysis:
- Data Cleaning and Preprocessing
- Data Visualization Techniques
- Feature Extraction and Feature Selection
What is Data Analysis?
Data analysis is the process of looking through, purifying, manipulating, and modelling data to glean valuable information and insights.
Exploratory Data Analysis (EDA) is the process of analyzing
and visualizing data to extract insights and patterns. It is an essential step
in the machine learning pipeline that helps to identify data quality issues,
understand the distribution of data, detect anomalies, and gain a deeper
understanding of the relationships between variables.
Some common techniques used in EDA include:
Summary statistics: calculating measures like mean, median,
mode, and standard deviation to get a sense of the data's central tendency and
spread.
Data visualization: using charts, graphs, and plots to
visualize data patterns and relationships, such as scatter plots, histograms,
box plots, and heat maps.
Dimensionality reduction: using techniques like principal
component analysis (PCA) or t-SNE to reduce the dimensionality of
high-dimensional datasets and visualize them in lower dimensions.
Outlier detection: identifying observations that fall
outside the expected range of values, which can be an indication of data
quality issues or interesting patterns.
Example:
Consider a dataset of customer purchases from an e-commerce
website. To perform EDA on this dataset, we might calculate summary statistics
such as the mean and standard deviation of purchase amounts, visualize the
distribution of purchase amounts using a histogram, and use PCA to reduce the
dimensionality of the dataset and visualize it in two dimensions. We might also
use outlier detection to identify unusual purchase behaviour that could be
indicative of fraud.
Data Cleaning and Preprocessing:
Data cleaning and preprocessing are essential steps in the
machine learning pipeline that involve preparing data for analysis by
transforming it into a suitable format. This involves cleaning up data quality
issues, dealing with missing values, transforming variables, and scaling the
data.
Some common techniques used in data cleaning and pre-processing include:
Handling missing values: filling in missing data points
using methods such as mean imputation or regression imputation.
Feature scaling: scaling the data to ensure that all
features have similar ranges, such as normalizing data to have a mean of zero
and a standard deviation of one.
Feature transformation: transforming features to make them
more suitable for analysis, such as applying a logarithmic transformation to a
feature that has a skewed distribution.
Encoding categorical variables: converting categorical
variables into numerical values that can be used in machine learning models,
such as using one-hot encoding or label encoding.
Example:
Consider a dataset of housing prices. To prepare this
dataset for machine learning analysis, we might handle missing values by
imputing them with the mean value of the feature. We might scale the data using
min-max scaling to ensure that all features have similar ranges. We might also
transform the target variable using a logarithmic transformation to make it
more normally distributed. Finally, we might encode categorical variables such
as neighbourhoods using one-hot encoding.
Data Visualization Techniques
Data visualization is a method of displaying information graphically or visually. Data visualization techniques help in understanding data and making sense of it. It also helps in finding patterns, trends, and relationships within the data.
There are various techniques used for data visualization, such as:
Scatter plots: A scatter plot is a graph that shows the
relationship between two variables by displaying data points on a two-dimensional
plane.
Histograms: A histogram is a graph that shows how a dataset
is distributed. It shows the number of observations that fall within various
ranges.
Box plots: A box plot is a method for graphically displaying
groups of numerical data. The box represents the middle 50% of the data, the
line inside the box represents the median, and the whiskers represent the range
of the data.
Heat maps: A heat map is a two-dimensional data
visualization in which colours stand in for values. Heat maps are commonly used
to represent gene expression data.
Python libraries such as Matplotlib, Seaborn, and Plotly can
be used for data visualization.
Feature Extraction and Feature Selection:
Feature extraction is the process of selecting a subset of
relevant features from a larger set of features to reduce the dimensionality of
the data. Feature selection is the process of selecting a subset of features
that are most relevant to the problem at hand.
There are various techniques used for feature extraction and
feature selection, such as:
Principal Component Analysis (PCA): PCA is a method for
reducing the dimensionality of a dataset by projecting it onto a
lower-dimensional subspace.
Linear Discriminant Analysis (LDA): LDA is a method for
feature extraction that maximizes the distance between classes while mini space distance within classes.
Recursive Feature Elimination (RFE): RFE is a method for
feature selection that recursively eliminates features with the least
importance until the desired number of features is reached.
SelectKBest: SelectKBest is a method for feature selection
that selects the K best features based on a scoring function.
Python libraries such as Scikit-learn and PyTorch can be used for feature extraction and feature selection.
The example implementation of PCA in Python:
Python Code
import numpy as np
from sklearn.decomposition import PCA
# Example data
X = np. array([[1, 2, 3], [4, 5, 6], [7, 8, 9]])
# Initialize PCA object and fit data
pca = PCA(n_components=2)
pca.fit(X)
# Transform data to lower-dimensional space
X_transformed = pca.transform(X)
print(X_transformed)
An example implementation of SelectKBest in Python:
Python code
import numpy as np
from sklearn.feature_selection import SelectKBest, chi2
# Example data
X = np. array([[1, 2, 3], [4, 5, 6], [7, 8, 9]])
y = np.array([0, 1, 1])
# Initialize SelectKBest object anit to data
selector = SelectKBest(chi2, k=2)
selector.fit(X, y)
# Transform data to selected features
X_selected = selector.transform(X)
print(X_selected)
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