Geodesic
Regression Models in Planning of Experiments
Yugoslav journal of operations research, Tome 5 (1995) no. 1, p. 123 .

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The paper deals with the results of an experiment investigating the influence of nitrogen, phosphorus and potassium on the sugar beet yield. Relationships between yield and the major factors of yield were based on the analysis of the multiple regression model with three independent variables: the used quantities of nitrogen, phosphorus and potassium. The adequacy of the model was established by selecting the variables to be included in its final form. The potassium, the third independent variable, was insignificant statistically and therefore, this variable and linear interactions of initial inputs were eliminated from the final model. There was a positive Influence of nitrogen and phosphorus on the growth of sugar beet yield in the observed period of 25 years (1966-1990). This was shown through the positive values of linear and the negative values of quadratic expressions of independent variables . These relations are illustrated graphically by response surface of increasing yield with the diminishing amount of growth.
Keywords: Planning of experiment, input-output relationships, response surface, adequacy of the model, isoquants 
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     author = {Katarina \v{C}obanovi\'c and Emilija Nikoli\'c - {\DJ}ori\'c and Milenko Jovanovi\'c},
     title = {Regression {Models} in {Planning} of {Experiments}},
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Katarina Čobanović; Emilija Nikolić - Đorić; Milenko Jovanović. Regression Models in Planning of Experiments. Yugoslav journal of operations research, Tome 5 (1995) no. 1, p. 123 . http://geodesic.mathdoc.fr/item/YJOR_1995_5_1_a10/