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How to Calculate a Rolling Statistic with a Centered Time-Window in Pandas

Discover how to elegantly compute a `rolling` statistic in Pandas using a centered window approach, avoiding slow loop constructs.
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This video is based on the question https://stackoverflow.com/q/65851888/ asked by the user 'Mathias Versichele' ( https://stackoverflow.com/u/1241118/ ) and on the answer https://stackoverflow.com/a/65852961/ provided by the user 'Ben.T' ( https://stackoverflow.com/u/9274732/ ) at 'Stack Overflow' website. Thanks to these great users and Stackexchange community for their contributions.

Visit these links for original content and any more details, such as alternate solutions, latest updates/developments on topic, comments, revision history etc. For example, the original title of the Question was: How do I calculate a "rolling" statistic on this pandas table, but with the time-window centered on the datapoint?

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The original Question post is licensed under the 'CC BY-SA 4.0' ( https://creativecommons.org/licenses/by-sa/4.0/ ) license, and the original Answer post is licensed under the 'CC BY-SA 4.0' ( https://creativecommons.org/licenses/by-sa/4.0/ ) license.

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How to Calculate a Rolling Statistic with a Centered Time-Window in Pandas

In the world of data analysis, particularly when dealing with time-series data in Python, it’s common to need to perform rolling calculations. You might find yourself in a situation where you need to compute a statistic centered on each data point instead of the standard previous values. In this guide, we'll explore how to achieve that in Pandas while also providing a clearer understanding of the process.

The Problem

Consider a scenario where you have a Pandas DataFrame that includes timestamps alongside other data. The challenge is to calculate a new column that counts the number of entries satisfying a specific condition (e.g., a "dummy" value greater than 40) within a defined time interval around each row (such as one minute before and after the timestamp). The simple rolling function doesn't provide a built-in means to center the rolling window around each row—leading many developers to cumbersome loop constructs that can be inefficient.

Understanding the Solution

While the default behavior of rolling statistics in Pandas does not allow for a centered time-window calculation directly, there is a creative workaround to achieve the desired result using rolling in combination with reversing the DataFrame. Below are the steps to implement this solution effectively.

Step 1: Setup Your DataFrame

First, ensure you have your DataFrame ready. For the sake of explaining this method clearly, we'll generate some random data to simulate our scenario:

[[See Video to Reveal this Text or Code Snippet]]

Step 2: Define the Criteria

Next, create a new column to hold the boolean result indicating whether the "dummy" value meets the condition ( 40):

[[See Video to Reveal this Text or Code Snippet]]

This column will help us determine where our counting will occur.

Step 3: Calculate the Rolling Count

The crux of the solution involves using two rolling operations: one on the DataFrame as-is and another on the DataFrame reversed. This allows us to simulate a centered approach by summing values from both sides of each data point. Here’s how you do that:

Define a semi-window period (in this case, one minute):

[[See Video to Reveal this Text or Code Snippet]]

Perform the rolling counts and combine them:

[[See Video to Reveal this Text or Code Snippet]]

Final Output

Once executed, the DataFrame will include the newly derived roll_2T column, which provides the count of how many rows have a "dummy" value above 40 within the one-minute interval centered around each timestamp.

[[See Video to Reveal this Text or Code Snippet]]

This will display your updated DataFrame with the rolling statistic calculated accordingly.

Conclusion

In summary, while Pandas does not directly support centered rolling statistics with an intuitive single function, utilizing two rolling operations in conjunction with reversing the DataFrame creates a robust and efficient workaround. This method not only cleans up the code but also improves performance compared to traditional looping methods. Happy coding!

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