Statistical Methods for Determining Optimal Rifle Cartridge Dimensions

TL;DR

This paper presents a statistical study to optimize rifle cartridge dimensions by analyzing factors like seating depth and powder charge to minimize shot group diameter, using factorial design and ANOVA methods.

Contribution

It introduces a comprehensive statistical approach combining factorial design, ANOVA, and ANCOVA to determine optimal cartridge specifications for improved rifle performance.

Findings

Optimal cartridge dimensions identified for minimal group diameter.

Statistical significance of seating depth and powder charge on accuracy.

Use of factorial design enhances understanding of factor interactions.

Abstract

We have designed and carried out a statistical study to determine the optimal cartridge dimensions for a Savage 10FLP law enforcement grade rifle. Optimal performance is defined as minimal group diameter. A full factorial block design with two main factors and one blocking factor was used. The two main factors were bullet seating depth and powder charge. The experimental units were individual shots taken from a bench-rest position and fired into separate targets. Additionally, thirteen covariates describing various cartridge dimensions were recorded. The data analysis includes ANOVA and ANCOVA. We will describe the experiment, the analysis, and some results.