Analysis of residuals and adjustment in JRA

Oliveira, Amilcar; Oliveira, Teresa; Mexia, João Tiago

http://hdl.handle.net/10400.2/2058

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Authors

Oliveira, Amilcar

Oliveira, Teresa

Mexia, João Tiago

Abstract(s)

Joint Regression Analysis (JRA) is based in linear regression applied to yields, adjusting one linear regression per cultivar. The environmental indexes in JRA correspond to a non observable regressor which measures the productivity of the blocks in the field trials. Usually zig-zag algorithm is used in the adjustment. In this algorithm, minimizations for the regression coefficients alternate with those for the environmental indexes. The algorithm has performed very nicely but a general proof of convergence to the absolute minimum of the sum of squares of residues is still lucking. We now present a model for the residues that may be used to validate the adjustments carried out by the zig-zag algorithm.

Keywords

Joint Regression Analysis Ziz-zag algorithm Residuals

URI

http://hdl.handle.net/10400.2/2058

Citation

Oliveira, Amílcar; Oliveira, Teresa; Mexia, João Tiago - Analysis of residuals and adjustment in JRA. "Biometrical Letters". ISSN 1896-3811. Vol. 45, Nº 1 (2008), p. 45-54