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.

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) .

No. | Line | |
---|---|---|

41. | Avoyelles (CPI 15939) | Tanzania |

42. | Hernon 49 (CPI 15948) | Tanzania |

43. | Mamloxi (CPI 172) | Nigeria |

44. | Dorman | USA |

45. | Hampton | USA |

46. | Hill | USA |

47. | Jackson | USA |

48. | Leslie | USA |

49. | Semstar | Australia |

50. | Wills | USA |

51. | C26673 | Morocco |

52. | C26671 | Morocco |

53. | Bragg | USA |

54. | Delmar | USA |

55. | Lee | USA |

56. | Hood | USA |

57. | Ogden | USA |

58. | Wayne | USA |

1. | Yield |

2. | Height |

3. | Lodging |

4. | Seed size |

5. | Protein percentage |

6. | Oil percentage |

No. | Location | Year |
---|---|---|

1. | Lawes | 1970 |

2. | Brookstead | 1970 |

3. | Nambour | 1970 |

4. | Redland Bay | 1970 |

5. | Lawes | 1971 |

6. | Brookstead | 1971 |

7. | Nambour | 1971 |

8. | Redland Bay | 1971 |

|-----|i=1 |-----| |i=2 |-----| | |.. | | | |.. | | |____|i=I=58 k=K=8 | |____| k=2 |_____| k=1 j=1,.,J=6

which translates to the data set itself as

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

Thus the first mode (

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) **X**_{j}
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.

[Download the Soybean data]

| Centre for Child and Family Studies | Leiden Institute of Education and Child Studiesal | The Three-Mode Company | Three-Mode Data Sets | TOP |

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Wassenaarseweg 52, 2333 AK Leiden, The Netherlands

Tel. *-31-71-5273446/5273434 (secr.); fax *-31-71-5273945

E-mail: kroonenb at fsw.leidenuniv.nl

Created: 27-2-2003

Last Updated: 13-3-2003