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master's thesis
Novi laktacijski model temeljen na Woodovom i MilkBot laktacijskom modelu
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. urn:nbn:hr:126:694948
Janković, Miroslav
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Probability, Mathematical Statistics and Data Science Research Group

Institutional repository: Repository of School of Applied Mathematics and Informatics

Cite this document

Janković, M. (2016). Novi laktacijski model temeljen na Woodovom i MilkBot laktacijskom modelu (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:694948

Janković, Miroslav. "Novi laktacijski model temeljen na Woodovom i MilkBot laktacijskom modelu." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. https://urn.nsk.hr/urn:nbn:hr:126:694948

Janković, Miroslav. "Novi laktacijski model temeljen na Woodovom i MilkBot laktacijskom modelu." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. https://urn.nsk.hr/urn:nbn:hr:126:694948

Janković, M. (2016). 'Novi laktacijski model temeljen na Woodovom i MilkBot laktacijskom modelu', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 04 January 2025, https://urn.nsk.hr/urn:nbn:hr:126:694948

Janković M. Novi laktacijski model temeljen na Woodovom i MilkBot laktacijskom modelu [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2016 [cited 2025 January 04] Available at: https://urn.nsk.hr/urn:nbn:hr:126:694948

M. Janković, "Novi laktacijski model temeljen na Woodovom i MilkBot laktacijskom modelu", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:126:694948

Metadata
TitleNovi laktacijski model temeljen na Woodovom i MilkBot laktacijskom modelu
AuthorMiroslav Janković
MentorNenad Šuvak (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Probability, Mathematical Statistics and Data Science Research Group)
Osijek
Defense date and country2016-09, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Applied Mathematics and Mathematical Modeling
Abstract
U radu proučavamo laktacijske modele za modeliranje dnevnog prinosa mlijeka muznih krava tijekom laktacije. Prvo definiramo osnovne pojmove kao što su laktacija, prinos mlijeka, laktacijska krivulja i perzistencija. Zatim se usmjeravamo na statističku analizu podataka ustupljenih od tvrtke Farmeron d.o.o. koja uključuje deskriptivnu statistiku, grafičke prikaze prinosa mlijeka i kutijastih dijagrama te primjenu različitih statističkih testova. Na osnovu statističke analize podataka prinose mlijeka muznih krava dijelimo u tri grupe. Prvu grupu čine prinosi mlijeka muznih krava u prvoj laktaciji, drugu prinosi mlijeka muznih krava u drugoj laktaciji i treću prinosi mlijeka muznih krava u trećoj ili većoj laktaciji. Nakon statističke analize podataka prelazimo na glavnu tematiku rada, a to su laktacijski modeli. U radu proučavamo četiri laktacijska modela. To su Woodov laktacijski model i njegova modifikacija te Wilminkov i MilkBot laktacijski model. Svaki model u svojoj definiciji uključuje odredeni broja parametara koje je potrebno procijeniti. Procjenu radimo koristeći Levenberg-Marquardt algoritam. Modele usporedujemo koristeći grafičke prikaze laktacijskih krivulja dobivenih modelima i mjere kvalitete modela od kojih ćemo koristiti korigirani \mathbb{R}^{2}, standardnu grešku reziduala te Akaike i Bayesov informacijski kriterij. U zadnjem dijelu diplomskog rada prikazat ćemo novi model dobiven kombinacijom Woodovog i MilkBot laktacijskog modela te njegovu usporedbu s Woodovim, MilkBot i Wilminkovim laktacijskim modelom. Novi model pokazat će se kao najbolji za modeliranje dnevnog prinosa mlijeka krava.
Abstract (english)
The thesis will be dealing with lactation models for modeling the daily milk yield during the lactation period. First we define the basic concepts such as lactation, milk yield, lactation curve and persistency. After that we focus on statstical analysis of data provided by company Farmeron d.o.o which includes descriptive statistics, plot of daily milk yield during lactation period, boxplots and the applications of various statistical tests. We divided dairy cows into three gropus. First group consits from dairy cows in first lactation, second from dairy cows in second lactation and third drom dairy cows in third or bigger lactation. After statistical analysis we pass to the main thesis of this paper. That are lactation models. We describe four lacation model. That are: Wilmink, MilkBot, Wood lactation model and modification of Wood lactation model. Each model in his definition has several parameters which we need to estimate. We estimate them using Levenberg-Marquardt algorithm. Then we compare lacation models using plots of lactation curves and measures for the quality of models such as adjusted \mathbb{R}^{2},, residual standard deviation, Akaike and Bayesian information criterion. In the last part of thesis we will show new model which is combination of Wood and MilkBot lactation model and compare him with Wood, MilkBot and Wilmink lactation model that will prove the best for modeling dairy milk yield during lactation in all gropus.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:694948
Study programmeTitle: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics
Course: Financial and Statistical Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
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Created on2016-09-21 06:43:25