Outlier Detection & Removal | How to Detect & Remove Outliers (Updated 2024)

In my previous article, I talked about the theoretical concepts of outliers and tried to find the answer to the question: “When should we drop outliers and when should we keep them?”. In this article, I will focus on outlier detection and the different ways of treating them. It is important for a data scientist to find outliers and remove them from the dataset as part of the feature engineering before training machine learning algorithms for predictive modeling. Outliers present in a classification or regression dataset can lead to lower predictive modeling performance.

I recommend you read this article before proceeding so that you have a clear idea about the outlier analysis in Data Science Projects. In this article we have cover topics like : outlier detection in python , outlier detection in machine learning and how to remove outlier detection in python so we mainly covering all topics and information regarding outlier detection.

The identification and outlier removal are essential during data preprocessing in machine learning to prevent skewed results. In Outlier Detection Python, different libraries like Pandas and Scikit-learn provide strong techniques for identifying and eliminating outliers. Methods such as Z-score, IQR, and clustering techniques are able to successfully detect outliers. Data scientists can improve model accuracy and reliability by fixing these anomalies, resulting in more insightful analyses and predictions across various fields, such as finance and healthcare.

In this article, you will learn how to remove outliers in Python using various techniques. We will cover the Z-score method, IQR method, and other outlier removal techniques to help you detect and remove outliers from your datasets. By the end of this article, you will have a solid understanding of how to effectively remove outliers in Python for more accurate data analysis.

Learning Objectives

1. An Overview of outliers and why it’s important for a data scientist to identify and remove them from data.
2. Undersand different techniques for outlier treatment: trimming, capping, treating as a missing value, and discretization.
3. Understanding different plots and libraries for visualizing and trating ouliers in a dataset.
4. Also, you get to know how to remove outlier detection in python.

This article was published as a part of the Data Science Blogathon

What is an Outlier?

Outlier is a data point that stands out significantly from the rest of the data. It can be an extremely high or low value compared to the other observations in a dataset. Outliers can be caused by measurement errors, natural variations in the data, or even unexpected discoveries.

Types of Outliers

There are 3 main types of outliers:

Global outliers: Stand out from the entire dataset, like a lone wolf.
Contextual outliers: Depend on their surroundings, like a high sale at a clothing store.
Collective outliers: Groups that deviate together, like a cluster of oddly high values.

What is the Outlier Detection Method?

Outlier detection is a method used to find unusual or abnormal data points in a set of information. Imagine you have a group of friends, and you’re all about the same age, but one person is much older or younger than the rest. That person would be considered an outlier because they stand out from the usual pattern. In data, outliers are points that deviate significantly from the majority, and detecting them helps identify unusual patterns or errors in the information. This method is like finding the odd one out in a group, helping us spot data points that might need special attention or investigation.

How to Treat Outliers?

There are several ways to treat outliers in a dataset, depending on the nature of the outliers and the problem being solved. Here are some of the most common ways of treating outlier values.

Trimming

It excludes the outlier values from our analysis. By applying this technique, our data becomes thin when more outliers are present in the dataset. Its main advantage is its fastest nature.

Capping

In this technique called “outlier detection,” we cap our data to set limits. For instance, if we decide on a specific value, any data point above or below that value is considered an outlier. The number of outliers in the dataset then gives us insight into that capping number. It’s like setting a boundary and saying, “Anything beyond this point is unusual,” and by doing so, we identify and count the outliers in our data.

For example, if you’re working on the income feature, you might find that people above a certain income level behave similarly to those with a lower income. In this case, you can cap the income value at a level that keeps that intact and accordingly treat the outliers.

Treating outliers as a missing value: Byassuming outliers as the missing observations, treat them accordingly, i.e., same as missing values imputation.

You can refer to the missing value article here.

Discretization

In the method of outlier detection, we create groups and categorize the outliers into a specific group, making them follow the same behavior as the other points in that group. This approach is often referred to as Binning. Binning is a way of organizing data, especially in outlier detection, where we group similar items together, helping us identify and understand patterns more effectively.

You can learn more about discretization here.

How to Detect Outliers?

For Normal Distributions

• Use empirical relations of Normal distribution.
• The data points that fall below mean-3*(sigma) or above mean+3*(sigma) are outliers, where mean and sigma are the average value and standard deviation of a particular column.

Source: sphweb.bumc.bu.edu

For Skewed Distributions

• Use Inter-Quartile Range (IQR) proximity rule.
• The data points that fall below Q1 – 1.5 IQR or above the third quartile Q3 + 1.5 IQR are outliers, where Q1 and Q3 are the 25th and 75th percentile of the dataset, respectively. IQR represents the inter-quartile range and is given by Q3 – Q1.

For Other Distributions

• Use a percentile-based approach.
• For Example, data points that are far from the 99% percentile and less than 1 percentile are considered an outlier.

How to Detect and Remove Outliners in Python

Z-score Treatment

Assumption: The features are normally or approximately normally distributed.

Step 1: Importing necessary dependencies

import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
import seaborn as sns

Step 2: Read and load the dataset

df = pd.read_csv('placement.csv')
df.sample(5)

Step 3: Plot the distribution plots for the features

import warnings
warnings.filterwarnings('ignore')
plt.figure(figsize=(16,5))
plt.subplot(1,2,1)
sns.distplot(df['cgpa'])
plt.subplot(1,2,2)
sns.distplot(df['placement_exam_marks'])
plt.show()

Step 4: Finding the boundary values

print("Highest allowed",df['cgpa'].mean() + 3*df['cgpa'].std())
print("Lowest allowed",df['cgpa'].mean() - 3*df['cgpa'].std())

Output:
Highest allowed 8.808933625397177
Lowest allowed 5.113546374602842

Step 5: Finding the outliers

df[(df['cgpa'] > 8.80) | (df['cgpa'] < 5.11)]

Step 6: Trimming of outliers

new_df = df[(df['cgpa'] < 8.80) & (df['cgpa'] > 5.11)]
new_df

Step 7: Capping on outliers

upper_limit = df['cgpa'].mean() + 3*df['cgpa'].std()
lower_limit = df['cgpa'].mean() - 3*df['cgpa'].std()

Step 8: Now, apply the capping

df['cgpa'] = np.where(
df['cgpa']>upper_limit,
upper_limit,
np.where(
df['cgpa']<lower_limit,
lower_limit,
df['cgpa']

Step 9: Now, see the statistics using the “Describe” function

df['cgpa'].describe()

Output:

count    1000.000000
mean        6.961499
std         0.612688
min         5.113546
25%         6.550000
50%         6.960000
75%         7.370000
max         8.808934
Name: cgpa, dtype: float64

This completes our Z-score-based technique!

IQR Based Filtering

Used when our data distribution is skewed.

Step-1: Import necessary dependencies

import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
import seaborn as sns

Step-2: Read and load the dataset

df = pd.read_csv('placement.csv')
df.head()

Step-3: Plot the distribution plot for the features

plt.figure(figsize=(16,5))
plt.subplot(1,2,1)
sns.distplot(df['cgpa'])
plt.subplot(1,2,2)
sns.distplot(df['placement_exam_marks'])
plt.show()

Step-4: Form a box-plot for the skewed feature

sns.boxplot(df['placement_exam_marks'])

Step-5: Finding the IQR

percentile25 = df['placement_exam_marks'].quantile(0.25)
percentile75 = df['placement_exam_marks'].quantile(0.75)

Step-6: Finding the upper and lower limits

upper_limit = percentile75 + 1.5 * iqr
lower_limit = percentile25 - 1.5 * iqr

Step-7: Finding outliers

df[df['placement_exam_marks'] > upper_limit]
df[df['placement_exam_marks'] < lower_limit]

Step-8: Trimming outliers

new_df = df[df['placement_exam_marks'] < upper_limit]
new_df.shape

Step-9: Compare the plots after trimming

plt.figure(figsize=(16,8))
plt.subplot(2,2,1)
sns.distplot(df['placement_exam_marks'])
plt.subplot(2,2,2)
sns.boxplot(df['placement_exam_marks'])
plt.subplot(2,2,3)
sns.distplot(new_df['placement_exam_marks'])
plt.subplot(2,2,4)
sns.boxplot(new_df['placement_exam_marks'])
plt.show()

Step-10: Capping

new_df_cap = df.copy()
new_df_cap['placement_exam_marks'] = np.where(
    new_df_cap['placement_exam_marks'] > upper_limit,
    upper_limit,
    np.where(
        new_df_cap['placement_exam_marks'] < lower_limit,
        lower_limit,
        new_df_cap['placement_exam_marks']

Step-11: Compare the plots after capping

plt.figure(figsize=(16,8))
plt.subplot(2,2,1)
sns.distplot(df['placement_exam_marks'])
plt.subplot(2,2,2)
sns.boxplot(df['placement_exam_marks'])
plt.subplot(2,2,3)
sns.distplot(new_df_cap['placement_exam_marks'])
plt.subplot(2,2,4)
sns.boxplot(new_df_cap['placement_exam_marks'])
plt.show()

This completes our IQR-based technique!

Percentile Method

• This technique works by setting a particular threshold value, which is decided based on our problem statement.
• While we remove the outliers using capping, then that particular method is known as Winsorization.
• Here, we always maintain symmetry on both sides, meaning if we remove 1% from the right, the left will also drop by 1%.

Steps to follow for the percentile method:

Step-1: Import necessary dependencies

import numpy as np
import pandas as pd

Step-2: Read and Load the dataset

df = pd.read_csv('weight-height.csv')
df.sample(5)

Step-3: Plot the distribution plot of the “height” feature

sns.distplot(df['Height'])

Step-4: Plot the box-plot of the “height” feature

sns.boxplot(df['Height'])

Step-5: Finding the upper and lower limits

upper_limit = df['Height'].quantile(0.99)
lower_limit = df['Height'].quantile(0.01)

Step-6: Apply trimming

new_df = df[(df['Height'] <= 74.78) & (df['Height'] >= 58.13)]

Step-7: Compare the distribution and box-plot after trimming

sns.distplot(new_df['Height'])
sns.boxplot(new_df['Height'])

Winsorization

Step-8: Apply Capping (Winsorization)

df['Height'] = np.where(df['Height'] >= upper_limit,
        upper_limit,
        np.where(df['Height'] <= lower_limit,
        lower_limit,
        df['Height']))

Step-9: Compare the distribution and box-plot after capping

sns.distplot(df['Height'])
sns.boxplot(df['Height'])

This completes our percentile-based technique!

Conclusion

Outlier detection and removal is a crucial data analysis step for a machine learning model, as outliers can significantly impact the accuracy of a model if they are not handled properly. The techniques discussed in this article, such as Z-score and Interquartile Range (IQR), are some of the most popular methods used in outlier detection. The technique to be used depends on the specific characteristics of the data, such as the distribution and number of variables, as well as the required outcome.

Hope you like the article! Removing outliers in Python is crucial for accurate data analysis. Techniques like the Z-score and IQR methods help in outlier removal. Learn how to remove outliers effectively using Python outlier detection methods for cleaner datasets.

Key Takeaways

• Outliers can be treated in different ways, such as trimming, capping, discretization, or by treating them as missing values.
• Emperical relations are used to detect outliers in normal distributions, and Inter-Quartile Range (IQR) is used to do so in skewed distributions. For all other distributions, we use the percentile-based approach.
• Z-score treatment is implemented in Python by importing the necessary dependencies, reading and loading the dataset, plotting the distribution plots, finding the boundary values, finding the outliers, trimming, and then capping them.

Chirag Goyal

I am a B.Tech. student (Computer Science major) currently in the pre-final year of my undergrad. My interest lies in the field of Data Science and Machine Learning. I have been pursuing this interest and am eager to work more in these directions. I feel proud to share that I am one of the best students in my class who has a desire to learn many new things in my field.