Open AccessUse of Harrington’s desirability function in wheat grain quality assessment
Author(s) -
A.F. Melnik,
Vadim Shumetov,
B. S. Kondrashin,
M. R. Mikhaylov
Publication year - 2020
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.179
H-Index - 26
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/422/1/012008
Subject(s) - gluten , quality (philosophy) , mathematics , function (biology) , econometrics , statistics , falling number , transformation (genetics) , distortion (music) , principal component analysis , agricultural engineering , computer science , food science , engineering , biology , amplifier , computer network , philosophy , biochemistry , epistemology , bandwidth (computing) , evolutionary biology , gene
The publication is devoted to the development of a method for assessing the quality of wheat grain based on Harrington’s desirability function, which reflects the nonlinearity of the relationship between the quantitative values of quality indicators and the psychological perception of a person. As an empirical base, we used the results of studies on the protein content, gluten content and sedimentation index – Zeleny test of more than 40 varieties of winter wheat, zoned in the Oryol region, the main analysis tool was the factor analysis by the method of principal components. It is substantiated that the set of these wheat grain quality indicators can be described with one slight distortion by one main factor, along with particular desirability functions used to construct a generalized quality indicator with linguistic levels “very good”, “good”, “satisfactory”, “bad” and “very bad”. The calculation of the values of the main factor of wheat varieties, which are absent in the initial data array, is proposed using an approximate formula that takes into account the indicator that is most closely correlated with it - the protein content. The proposed methodology was tested on the example of assessing the influence of sowing dates on the productivity of winter wheat variety Moscow 39. Based on the results of the studies, it is recommended to use the Harrington’s transformation to evaluate particular indicators of the quality of wheat grain. It is also promising to use the method of principal components for the formation of a generalized function of desirability, when the weights of particular indicators are taken into account “automatically” by using the main component as a normalized variable, which comprehensively reflects the quality of wheat grain.