Kroonenberg, P. M., & Basford, K. E. B. (1989). An investigation of multi-attribute gentype response across environments using three-mode principal component analysis. Euphytica, 44, 109-123.The most comprehensive analyses of these data as well as experimental details can be found in
Basford, K. E., & Tuckey, J. W. (1999). Graphical analysis of multiresponse data illustrated with a plant breeding trial. Boca Raton, FL: Chapman & Hall/CRC.
The Line 1-40 were local Australian selections from Mamloxi (CPI 172) and Avoyelles (CPI 15939) .
|41.||Avoyelles (CPI 15939)||Tanzania|
|42.||Hernon 49 (CPI 15948)||Tanzania|
|43.||Mamloxi (CPI 172)||Nigeria|
|-----|i=1 |-----| |i=2 |-----| | |.. | | | |.. | | |____|i=I=58 k=K=8 | |____| k=2 |_____| k=1 j=1,.,J=6
j=1,.,J=6 |-----|i=1 | |i=2 | |.. k= 1 | |.. |_____|i=I=58 |-----|i=1 | |i=2 | |.. k= 2 | |.. |_____|i=I=58 |-----|i=1 | |i=2 | |.. k= 8 | |.. |_____|i=I=58
In the Kroonenberg & Basford analyses, the data were centred per column (attribute) x(j,k) so that the columns were in deviation of their mean. After this the lateral slices (attributes) Xj were normalised to sum of squares equal to 1, so that the total sum of squares of the preprocessed data was 8.
Note on the data in Basford and Tukey's book.
Appendix 2: The values for line 58 for Nambour 1970 and Redland Bay 1971 are incorrectly listed on page 477 as 20.490 and 15.070. They should be 17.350 and 13.000, respectively. In the data set made available here, these values have been corrected.
All other data sets have been checked and are correct as listed.
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