, Volume 33, Issue 2, pp 387400
First online:
Use of principal factor analysis in the study of three stem termination types of soybean
 P. J. BramelAffiliated withDepartment of Agronomy, Iowa State University
 , P. N. HinzAffiliated withDepartment of Statistics, Iowa State University
 , D. E. GreenAffiliated withDepartment of Agronomy, Iowa State University
 , R. M. ShiblesAffiliated withDepartment of Agronomy, Iowa State University
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The study was conducted to identify plant characters associated with seed yield in close soybean plant spacings. Lines selected from two F_{6} soybean populations in the F_{10} generation segragating for degree of stem termination were grown in two locations. Traits measured included lengths of developmental stage. plant and canopy height, number of nodes, lodging at different stages, raceme lengths, and number of nodes and branch number of nodes.
One problem in analyzing data and drawing conclusions from such a study is related to the complex nature of the interrelationships of a large number of traits. Another, not unrelated problem, involves the calculation of multipleregression equations with multicolinearities. Because of these problems, factor analysis was used to study the correlation matrix to identify sets of variables related to the same biological concept or function. The variables within sets were determined for each stem termination type, and measurements of these variables were standardized. Means were calculated by using the sum of the standardized variables for each set. Multiple regression was used to study the relationships between sets as the independent variables and yield as the dependent variable. Individual traits were selected from within each set and substituted in the multiple regression equations calculated with the mean value for each set. With use of this technique to determine multiple regression equations, the resulting equations involved measurements of different biological functions instead of repeated measurements of the same function in the plant. It was found that, in the determinate stem type, the measurement of the seedfilling period and branch number of nodes could possibly be used to predict yield while, in the semideterminate stem type, the measurement of the ‘fixed capital’ function and terminal raceme length were possibly useful. Finally, in the indeterminate stem type, the measurement of the ‘fixed capital’ could be used, but it had a very low predictive value.
Index words
Standardization Averaging Narrow rows Multiple Regression Multicolinearities Prediction equations Multiple traits Correlation Interrelationships Title
 Use of principal factor analysis in the study of three stem termination types of soybean
 Journal

Euphytica
Volume 33, Issue 2 , pp 387400
 Cover Date
 198406
 DOI
 10.1007/BF00021136
 Print ISSN
 00142336
 Online ISSN
 15735060
 Publisher
 Kluwer Academic Publishers
 Additional Links
 Topics
 Keywords

 Standardization
 Averaging
 Narrow rows
 Multiple Regression
 Multicolinearities
 Prediction equations
 Multiple traits
 Correlation
 Interrelationships
 Industry Sectors
 Authors

 P. J. Bramel ^{(1)}
 P. N. Hinz ^{(2)}
 D. E. Green ^{(1)}
 R. M. Shibles ^{(1)}
 Author Affiliations

 1. Department of Agronomy, Iowa State University, 50011, Ames, IA, USA
 2. Department of Statistics, Iowa State University, 50011, Ames, IA, USA