title: ÐÐµÑÐ¾Ð´Ñ Ð¸ ÑÑÐµÐ´ÑÑÐ²Ð° Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð²ÑÐ±ÑÐ¾ÑÐ¾Ð² Ð² ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ°Ñ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ð¹ Ñ ÑÑÐµÑÐ¾Ð¼ Ð¸Ñ Ð¿Ð¾Ð³ÑÐµÑÐ½Ð¾ÑÑÐ¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Methods and tools for determining outliers in measurement results, taking into account their measurement error
Creators: name: ÐÐ¸Ð³Ð°ÑÐµÐ²Ð°, ÐÐ½Ð°ÑÑÐ°ÑÐ¸Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: Ð²ÑÐ±ÑÐ¾ÑÑ
Ð¸Ð·Ð¼ÐµÑÐ¸ÑÐµÐ»ÑÐ½ÑÐµ Ð´Ð°Ð½Ð½ÑÐµ
matlab
Ð°Ð½Ð°Ð»Ð¸Ð· Ð´Ð°Ð½Ð½ÑÑ
ÑÑÐ°ÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¸Ð¹ Ð°Ð½Ð°Ð»Ð¸Ð·
outliers
measurement data
data analysis
statistical analysis

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«ÐÐµÑÐ¾Ð´Ñ Ð¸ ÑÑÐµÐ´ÑÑÐ²Ð° Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð²ÑÐ±ÑÐ¾ÑÐ¾Ð² Ð² ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ°Ñ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ð¹ Ñ ÑÑÐµÑÐ¾Ð¼ Ð¸Ñ Ð¿Ð¾Ð³ÑÐµÑÐ½Ð¾ÑÑÐ¸Â». ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¸ ÑÑÐµÐ´ÑÑÐ², Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÐºÐ¾ÑÐ¾ÑÑÑ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÑÑÑÑÑ Ð²ÑÐ±ÑÐ¾ÑÑ Ð² Ð¸Ð·Ð¼ÐµÑÐ¸ÑÐµÐ»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ñ ÑÑÐµÑÐ¾Ð¼ Ð¸Ñ Ð¿Ð¾Ð³ÑÐµÑÐ½Ð¾ÑÑÐ¸. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. ÐÐ·ÑÑÐµÐ½Ð¸Ðµ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ°ÑÑÐ¸ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÑÐµÐ´ÑÑÐ² Ð¸ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ð¹ Ð²ÑÐ±ÑÐ¾ÑÐ¾Ð² Ð² Ð´Ð°Ð½Ð½ÑÑ. 2. ÐÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ°Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ Ð¼ÐµÑÐ¾Ð´Ð¾Ð². 3. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð´Ð°Ð½Ð½ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð². 4. ÐÐ½Ð°Ð»Ð¸Ð· Ð¼ÐµÑÐ¾Ð´Ð¾Ð², Ð¸Ñ Ð¿ÑÐµÐ¸Ð¼ÑÑÐµÑÑÐ² Ð¸ Ð½ÐµÐ´Ð¾ÑÑÐ°ÑÐºÐ¾Ð². Ð Ð°Ð±Ð¾ÑÐ° Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÑÐµÐ´Ñ Â«MATLABÂ», Ð° ÑÐ°ÐºÐ¶Ðµ Ð½Ð° ÑÐ·ÑÐºÐµ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Â«PythonÂ». ÐÑÐ»Ð° Ð¿ÑÐ¸Ð²ÐµÐ´ÐµÐ½Ð° Ð½ÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼Ð°Ñ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ°Ñ ÑÐ°ÑÑÑ Ð´Ð»Ñ Ð¿Ð¾Ð½Ð¸Ð¼Ð°Ð½Ð¸Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¹ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¸ Ð¸Ñ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½ÑÑ Ð¾Ð³ÑÐ°Ð½Ð¸ÑÐµÐ½Ð¸Ð¹ Ð² Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ð¸. ÐÑÐ»Ð¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ, Ð¿Ð¾ÐºÐ°Ð·ÑÐ²Ð°ÑÑÐ¸Ðµ Ð½Ð°Ð³Ð»ÑÐ´Ð½Ð¾ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¼ÐµÑÐ¾Ð´Ð¾Ð². Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ»Ð¸ Ð¿ÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ñ ÑÑÐ°ÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¼ÐµÑÐ¾Ð´Ñ Ð²ÑÑÐ²Ð»ÐµÐ½Ð¸Ñ Ð²ÑÐ±ÑÐ¾ÑÐ¾Ð². Ð Ð°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð´Ð°Ð½Ð½ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð² ÑÑÐµÐ´Ðµ MATLAB, Ð±Ð¸Ð±Ð»Ð¸Ð¾ÑÐµÐºÐ¸ Ð² Python. ÐÐ° Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð¸Ð¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð½ÑÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¹ ÑÐ¾ÑÑÐ°Ð²Ð»ÐµÐ½Ñ ÑÑÐ°Ð²Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐµ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð½ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð².
description: The subject of the graduate qualification work is: "Methods and tools for determining outliers in measurement results, taking into account their measurement error." The given work is devoted to the study of various methods and means by which outliers in measurement data are determined, taking into account their error. Tasks that were solved in the course of the study: 1. The study of the theoretical part of the implementation of tools and methods for determining outliers in data. 2. Practical implementation of methods. 3. Study of the obtained results of these methods. 4. Analysis of methods, their advantages and disadvantages. The work was carried out using the MATLAB environment, as well as in the Python programming language. The necessary theoretical part was given to understand the implementations of the methods and their possible limitations in application. Studies have been conducted that clearly show the results of using the methods. As a result, statistical methods for detecting outliers were analyzed. The implementations of these methods in the MATLAB environment, libraries in Python are considered. On the basis of the conducted studies, comparative characteristics of the considered methods were compiled.