Analiza kvalitativnih varijabli

Čiča, Damjan (2016) Analiza kvalitativnih varijabli. = Analyses of qualitative variables. Master's thesis (Bologna) , Sveučilište u Zagrebu, Fakultet strojarstva i brodogradnje, UNSPECIFIED. Mentor: Runje, Biserka.

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Abstract (Croatian)

Tema ovog rada je definirati kvalitativne varijable uzimajući u obzir njihova mjerna svojstva te dati sistematski pregled metoda opisivanja i definiranja tih varijabli. Kako je svaki proces definiran utjecajem kvantitativnih, ali isto tako i kvalitativnih parametara, važno je proučiti metode statističkih testiranja istih. U prvom je poglavlju dan općeniti opis kvalitativnih varijabli, pri čemu njihova upotreba nije ograničena na inženjerska područja. Definirana su tri glavna obilježja tih varijabli te način njihovog prikupljanja. U drugom je poglavlju dana definicija statističkih varijabli, njihova podjela i značajke svake pojedine vrste. Sljedeći je korak bio prikazati metode analize kvalitativnih podataka te njihovog prikazivanja ovisno o vrsti pojedine varijable. Jezgra ovoga rada je analiza metoda planiranja pokusa, njihovog podrijetla te primjeni iz inženjerskog aspekta. Objašnjeni su različiti koncepti koji predstavljaju osnovu tog veoma važnog načina analize utjecajnih parametara u pojedinim procesima. Isto tako su definirani koraci za planiranje, provođenje i u konačnici analizu eksperimenta. Također su objašnjeni principi blokiranja nepoželjnih utjecaja. Fokus rada je bio na višefaktorijalnom dizajnu, i to onom koji analizira potencijalni utjecaj parametara koji posjeduju samo dvije razine, odnosno na 2k faktorijalnom dizajnu. Objašnjeni su koraci matematičke analize ćelija na kojima se temelje ovi dizajni. Važno je bilo navesti metode koje služe određivanju blokova kojima pojedini faktori pripadaju. Neophodno je bilo objasniti navedene metode na stvarnom primjeru. Koristeći podatke o mjerama aluminijskog cilindra, točnije o njegovom unutarnjem i vanjskom promjeru te duljini, proveden je plan pokusa u svrhu utvrđivanja potencijalnih utjecajnih parametara prilikom mjerenja tih veličina. Isto tako je provedena statistička analiza triju parametara koja je rezultirala zaključcima o značajnosti utjecaja svakog pojedinog faktora.

Abstract

The theme of this work is defining qualitative variables taking into account their measurement properties, and providing a systematic overview of the methods for describing and defining these variables. As each process is defined by the influence of quantitative, but also qualitative parameters, it is important to study the methods for performing statistical testing of these variables. A general description of qualitative variables, not limited to engineering areas, is given in the first chapter. There are three main characteristics defining this kind of variables and a common method of collecting them. The second chapter is about defining statistical variables, their division and characteristics of each type. The next step was to demonstrate the methods of analyzing qualitative data and the way they are displayed depending on the the type of each individual variable. The core of this paper is to analyze the methods of planning experiments, their origin and application from an engineering aspect. Different concepts that provide a base for this very important method of analysing influential parameters in individual processes are explained. The steps for planning, conducting and finally analysing an experiment are also defined, as well as the principles of blocking undesirable influencing factors. The focus of the study was on multifactorial designs, particularly the one that provides analysis of parameters with only two levels, the 2k factorial design. The steps for performing a mathematical analysis of cells underlying these designs were given. It was important to specify the methods used to determine into which blocks certain factors belong. It was necessary to explain the above mentioned methods on a real example. Using a set of data about the measurements of an aluminium cylinder, more specifically about its inner and outer diameter and length, a design of an experiment was carried out in order to determine the potential influence of parameters when measuring these quantities. A statistical analysis of three parameters was also carried out. It resulted in a few conclusions about the significance of each factor.

Item Type:	Thesis (Master's thesis (Bologna))
Uncontrolled Keywords:	kvalitativne varijable; planiranje pokusa; 2k faktorijalni dizajn
Keywords (Croatian):	qualitative variables; design of experiments; 2k factorial design
Subjects:	TECHNICAL SCIENCE > Mechanical Engineering
Divisions:	800 Department of Quality > 810 Chair of Precise Measurement and Quality
Date Deposited:	07 Dec 2016 10:46
Last Modified:	13 Dec 2016 09:55
URI:	http://repozitorij.fsb.hr/id/eprint/7119

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