A problem of decomposing a response variable into a sum of other variables (so-called additive components) is presented in the paper. We propose how to analyze a relationship in which the response variable is affected by its additive components. The approach and interpretation proposed are based on and quite similar to path analysis. Therefore, the approach provides a commonly known view on inferring from causal systems. Its application is presented for grain yield of two spring barley cultivars, which is studied as an effect of grain yields from plants with different number of spikes.
Briggs, D. E. (1978). Barley. British School of Malting and Brewing, London, 1–75.
Dofing, S., Knight, C. (1994). Yield component compensation in uniculum barley lines. Agron. J. 86, 273–276.
Donald, M. C. (1979). A barley breeding programme based on an ideotype. J. Agric. Sci. Camb. 93, 261–269.
García del Moral, M., García del Moral, L. (1995). Tiller production and survival in relation to grain yield in winter and spring barley. Field Crops Res. 44(2–3), 85–93.
García del Moral, L., García del Moral, M., Molina-Cano, J., Slafer, G. (2003). Yield stability and development in two-and six-rowed winter barleys under Mediterranean conditions. Field Crops Res. 81, 109–119.
Jolliffe, P. A., Eaton, G. W., Lovett Doust, J. (1982). Sequential analysis of plant growth. New Phytol. 92, 287–296.
Kang, K. M., Seneta, E. (1980). Path analysis: An exposition. Developments in statistics, red. Krishnaiah P. R., 3, 217–245.
Kirby, E., Jones, H. (1977). The relations between the main shoot and tillers in barley plants. J. Agric. Sci. Camb. 88, 381–389.
Kozak, M., Mądry, W., Wyszyński, Z. (2002). Method of analysis the influence of weight of roots from different fractions on sugar beet yield. Fragmenta Agronomica 2(74), 251–262 (in Polish).
Pecio, A. (1995). Studies on the spring barley plant and canopy model. Institute of Soil Science and Plant Cultivation, Puławy, 1–75 (in Polish).
Piepho, H. P. (1995). A simple procedure for yield component analysis. Euphytica 84, 43–48.
Shipley, B. (2002). Cause and Correlation in Biology. A User’s Guide to Path Analysis, Structural Equations and Causal Inference. Cambridge University Press, Cambridge.
Webster, R. (1997). Regression and functional relations. Europ. J. Soil Sci. 48, 557–566.
Williams, W. A., Jones, M. B., Demment, M. W. (1990). A concise table for path analysis statistics. Agron. J. 82, 1022–1024.
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Kozak, M., Gozdowski, D. & Wyszyński, Z. An Approach to Analyzing a Response Variable as Affected by its Additive Components: Example for Spring Barley Grain Yield. CEREAL RESEARCH COMMUNICATIONS 34, 981–988 (2006). https://doi.org/10.1556/CRC.34.2006.2-3.228
- additive yield components
- spring barley
- number of spikes per plant