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1.5 IQR Rule | Statistical Methods in Anomaly Detection
course content

Зміст курсу

Data Anomaly Detection

1.5 IQR Rule1.5 IQR Rule

The 1.5 IQR (Interquartile Range) rule is a simple but effective method for identifying outliers in a dataset. It's based on the spread of data around the median and is commonly used in anomaly detection.

How to use 1.5 IQR rule

  1. Calculate the IQR, which is the range between the 75th percentile (Q3) and the 25th percentile (Q1) of the dataset;
  2. Define the lower threshold as Q1 - 1.5 * IQR and the upper threshold as Q3 + 1.5 * IQR;
  3. Any data point below the lower threshold or above the upper threshold is considered an outlier.

Here is the implementation of this rule:

We simply calculate threshold values and condenser all points out of IQR range as outliers.

1.5 IQR rule for commonly used distributions

Pros and cons of using 1.5 IQR rule

Pros Cons
Simple and easy-to-understand method for identifying outliers. May not work well with non-symmetric or heavily skewed data distributions.
Robust to extreme values (outliers) in the dataset. Requires choosing a fixed multiplier (e.g., 1.5) which may not be suitable for all datasets.
Based on quartiles (Q1 and Q3) and the median, which are less affected by outliers. Doesn't provide information about the nature or cause of outliers.
Useful for identifying potential outliers that deviate significantly from the majority of the data. May classify certain valid data points as outliers if they fall outside the fixed threshold.
Can be applied to various types of data, including univariate and multivariate datasets. Doesn't consider the underlying data distribution or model assumptions.

What does an outlier represent in the context of the 1.5 IQR rule?

Виберіть правильну відповідь

Все було зрозуміло?

Секція 2. Розділ 3
course content

Зміст курсу

Data Anomaly Detection

1.5 IQR Rule1.5 IQR Rule

The 1.5 IQR (Interquartile Range) rule is a simple but effective method for identifying outliers in a dataset. It's based on the spread of data around the median and is commonly used in anomaly detection.

How to use 1.5 IQR rule

  1. Calculate the IQR, which is the range between the 75th percentile (Q3) and the 25th percentile (Q1) of the dataset;
  2. Define the lower threshold as Q1 - 1.5 * IQR and the upper threshold as Q3 + 1.5 * IQR;
  3. Any data point below the lower threshold or above the upper threshold is considered an outlier.

Here is the implementation of this rule:

We simply calculate threshold values and condenser all points out of IQR range as outliers.

1.5 IQR rule for commonly used distributions

Pros and cons of using 1.5 IQR rule

Pros Cons
Simple and easy-to-understand method for identifying outliers. May not work well with non-symmetric or heavily skewed data distributions.
Robust to extreme values (outliers) in the dataset. Requires choosing a fixed multiplier (e.g., 1.5) which may not be suitable for all datasets.
Based on quartiles (Q1 and Q3) and the median, which are less affected by outliers. Doesn't provide information about the nature or cause of outliers.
Useful for identifying potential outliers that deviate significantly from the majority of the data. May classify certain valid data points as outliers if they fall outside the fixed threshold.
Can be applied to various types of data, including univariate and multivariate datasets. Doesn't consider the underlying data distribution or model assumptions.

What does an outlier represent in the context of the 1.5 IQR rule?

Виберіть правильну відповідь

Все було зрозуміло?

Секція 2. Розділ 3
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