Empirical Precision

Welcome to Empirical Precision

This web application is a comprehensive tool designed for shooting enthusiasts, competitive marksmen, and handloaders. Our goal is to provide a single, powerful platform to manage every aspect of your shooting hobby, from the components on your reloading bench to the final analysis of your performance on the range.

Key Features:

  • Component Management: Keep a detailed inventory of your reloading components, including bullets, powders, primers, and brass.
  • Load Data Management: Develop, save, and manage your specific handload recipes.
  • Target Management: Upload images of your targets to create a digital library for analysis.
  • Impact Marking & Analysis: Load a saved target, mark your aim and impact points, and instantly calculate critical statistics like group size, mean radius, and standard deviation.
  • Statistical Tools: Compare different shooting sessions and use statistical tests to determine if changes in your load have a significant impact on precision.

Recommended Workflow:

For the best experience, we recommend following this workflow:

  1. Firearms Tab: Start by adding the firearms you'll be using.
  2. Load Data Tab: Create your load recipes, linking them to your components.
  3. Targets Tab: Upload images of the paper targets you've shot.
  4. Marking Tab: Select a firearm, load, and target. Then, mark your point-of-aim and impacts on the canvas to save a new session.
  5. Analysis Tab: Load your saved sessions to view detailed statistics, compare performance against other sessions, and export your findings.

A Note on Group Size & Statistical Significance

When evaluating the precision of a load, it's tempting to rely on small, 3 or 5-shot groups. They are quick to shoot and easy to measure. However, the results from such small sample sizes can often be misleading. A tight 3-shot group might be a statistical fluke rather than a true representation of your load's potential, just as a surprisingly wide group might be the result of a single random flyer.

The power of statistical analysis, and a core principle of this application, lies in using larger data sets. As you increase the number of shots in your sample—from 5 to 10, and ideally to 20 or 30—the calculated metrics like Mean Radius and Radial Standard Deviation (RSD) become far more reliable. These larger groups smooth out the randomness of individual shots, giving you a much clearer picture of the load's true capabilities.

This becomes critically important when comparing two different loads. Is your new handload really more precise than the old one? Comparing two 5-shot groups might not provide a definitive answer, as the difference you see could easily be due to chance. However, by comparing a 20-shot composite group against another 20-shot group using the F-Test in our Analysis tab, you can determine with much greater confidence whether the observed difference in precision is statistically significant or just random noise. The more data you collect, the more confident you can be in your conclusions.

All your data is stored securely and privately in your local browser database. Nothing is uploaded to a server, ensuring you have full control over your information and can even use the application offline.

Manage Firearms

NicknameCartridgeBarrelTwistActions

Manage Load Data

Type Cartridge Details Charge COL / CBTO Actions

Manage Targets

Setup

Image Controls

Marking Tools

Session Info

Actions

Impact Data

Impact data will appear here once you mark points and set a scale.

Load Session

F-Test for Variance Comparison

Actions

Calculated Statistics

No data to analyze.

Calculation Details & Terminology

Group Statistics

Horizontal/Vertical ES (Extreme Spread): The distance between the two furthest impacts on each axis.

Mean Radius: The average distance of all shots from the geometric center (mean point of impact) of the group.

H/V ES Ratio: The ratio of Horizontal ES to Vertical ES. A value near 1.0 suggests round groups.

HVC (r): Horizontal Velocity Correlation. A Pearson correlation coefficient that measures the linear relationship between shot velocity and horizontal shot placement. Values range from -1 (higher velocity = further left) to +1 (higher velocity = further right).

Dispersion Statistics

SD (Horizontal/Vertical): The Standard Deviation of shot placement on each axis. Measures the consistency of shots along that axis.

RSD (Radial Standard Deviation): A measure of a group's precision. It represents the standard deviation in two dimensions. Smaller is better.

P95 Group Size (Est.): An estimated group size that should contain 95% of all shots fired, based on the RSD. This provides a more statistically robust measure of precision than a single group's extreme spread.

Velocity Statistics

Velocity ES (Extreme Spread): The difference between the highest and lowest recorded shot velocities.

Velocity SD (Standard Deviation): A measure of the consistency of the muzzle velocity. A lower SD indicates more consistent ammunition.

F-Test for Variance

A statistical test used to compare the variance (RSD²) of the current group against a reference group. If the calculated F-Statistic is larger than a critical value (determined by the P-value), the difference in precision between the two groups is statistically significant.

Shot Data

Shot # Group X Y Velocity
No data loaded.

Manage Bullets

NameManufacturerDiameterWeightLengthActions

Manage Powders

NameManufacturerActions

Manage Primers

NameManufacturerActions

Manage Brass

CartridgeManufacturerPocketHoleActions

Manage Manufacturers

NameTypesActions

Manage Diameters

ImperialMetricActions

Manage Cartridges

NameDiameterOALActions

Global Database Actions

Table Specific Actions

Table Contents:

Select a table to view its contents.