# Accession Number:

## ADA052225

# Title:

## Computer Simulation of Maximum Likelihood Output for Standard Langlie Test, (N=12)

# Descriptive Note:

# Corporate Author:

## ARMY ARMAMENT RESEARCH AND DEVELOPMENT COMMAND DOVER NJ ARTILLERY SYSTEMS DIV

# Personal Author(s):

# Report Date:

## 1977-12-01

# Pagination or Media Count:

## 77.0

# Abstract:

The purpose of this report is to give an accounting of the efficiency and reliability of the sample statistics derived from the Langlie Sensitivity Test using the maximum likelihood method in obtaining an average penetration velocity V50 and a standard deviation of the penetration velocity. The assumption is made that the probability of obtaining a penetration is distributed as the cumulative normal probability distribution. The maximum likelihood method in theory will give the most likely estimates of the average and standard deviation of this normal curve. The Langlie Test Procedure is defined in detail in Appendix A. A computer program was prepared simulating test results using this procedure. The true population was defined as being a cumulative normal distribution with an average of zero and a standard deviation of one. Each of the sample distributions shown were derived by using different starting estimates in terms of the standard deviation.

# Descriptors:

# Subject Categories:

- Statistics and Probability
- Ballistics