What are Quantiles?

Quantiles divide the dataset into equal parts based on rank or percentile. They represent the values at certain points in a dataset sorted in increasing order. General quantiles include the median (50th percentile), quartiles (25th, 50th, and 75th percentiles), and percentiles (values ranging from 0 to 100).

In machine learning and data science, quantiles play an important role in understanding the data, detecting outliers and evaluating model performance.

Types of Quantiles

  • Quartiles: Quartiles divide a dataset into four equal parts, representing the 25th, 50th (median), and 75th percentiles.
  • Quintiles: Quintiles divide a dataset into five equal parts, each representing 20% of the data.
  • Deciles: Deciles divide a dataset into ten equal parts, with each decile representing 10% of the data.
  • Percentiles: Percentiles divide a dataset into 100 equal parts, with each percentile representing 1% of the data.

Quantiles in Machine Learning

Quantiles offers valuable insights into data distribution and helping in various aspects of analysis. This article describes quantiles, looks at how to calculate them, and talks about how important they are for machine learning applications. We also discuss the problems with quantiles and how box plots may be used to represent them. For anybody dealing with data in the field of machine learning, having a firm understanding of quantiles is crucial.

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What are Quantiles?

Quantiles divide the dataset into equal parts based on rank or percentile. They represent the values at certain points in a dataset sorted in increasing order. General quantiles include the median (50th percentile), quartiles (25th, 50th, and 75th percentiles), and percentiles (values ranging from 0 to 100)....

Steps to Calculate Quantiles

The steps for calculating quantiles involve:...

Implementation: Calculating Quantiles using NumPy Library

Quintiles...

Uses of Quantiles in Machine Learning

Quantiles play a crucial role in various aspects of machine learning and data analysis. Here are some key uses:...

Challenges and Limitations of Quantiles

Influence of Outliers: Quantiles can be sensitive to outliers, especially when calculating quartiles. Outliers can significantly affect the position of quantiles, potentially leading to a misrepresentation of the data’s central tendency and spread.Skewed Distributions: Quantiles may not fully capture the characteristics of skewed distributions. For highly skewed datasets, the quantiles may not provide a complete picture of the data distribution, especially in the tails.Variability in Calculations: Different methods and software packages may use different algorithms for calculating quantiles, leading to variability in results. This can be a challenge when comparing quantiles across different datasets or when using quantiles for decision-making....

Conclusion

Quantiles are powerful statistical measures that provide valuable insights into the distribution of data. Understanding and utilizing quantiles effectively in machine learning and data science can enhance data analysis, model building, and decision-making processes. By calculating and interpreting quantiles, data scientists can gain more information about datasets and make informed decisions in various analytical tasks....

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