Analysis of downy mildew infection of field pea varieties using the logistic model
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Department of Mathematical and Statistical Methods, Poznań University of Life Sciences Wojska Polskiego 28, 60-637 Poznań, Poland
Research Centre for Cultivar Testing in Słupia Wielka, Poland
Corresponding author
Ewa Bakinowska
Department of Mathematical and Statistical Methods, Poznań University of Life Sciences Wojska Polskiego 28, 60-637 Poznań, Poland
Journal of Plant Protection Research 2012;52(2):240-246
The logistic model is commonly used for analysis of discrete, multinomial data. Such a model was used for the statistical evaluation of data concerning infection of field pea varieties by downy mildew, in two series of field trials. Each series consisted of experiments performed in locations spread over the whole of Poland in the time period from 2002 to 2005. Varieties cultivated on light soils were compared in the first series, and varieties cultivated on rich soils in the second. The most resistant varieties were identified (Sokolik – light soils, Terno – rich soils) and significant differences among varieties were detected. Estimators of model parameters were found using the Fisher scoring method implemented in logistic glm procedure of the SAS system.
The authors have declared that no conflict of interests exist.
Agresti A. 1984. Analysis of Ordinal Categorical Data. Wiley, New York, 287 pp.
Ajala S.O., Kling J.G., Kim S.K., Obajimi A.O. 2003. Improvement of maize populations for resistance to downy mildew. Plant Breeding 122: 328–333.
Bakinowska E. 2004. Analyzing experiments by generalized linear models. Biometrical Let.41 (2): 37–49.
Bakinowska E., Kala R. 2007. An application of logistic models for comparison of varieties of seed pea with respect to lodging. Biometrical Let.44 (2): 143–154.
Bocianowski J., Bakinowska E., Rybiński W. 2008. Analysis of selected grasspea mutants by generalized linear model. Colloquium Biometricum 38: 161–171.
Boros L., Marcinkowska J. 2010. Assessment of selected pea genotypes reaction to ascochyta blight under field conditions and the impact of disease severity on yield components. J. Agric. Sci. 2 (3): 84–91.
Czerniak A., Górna M., Bakinowska E., Kayzer D. 2009. Functionality of the animal crossing built over trunk road No. 5 in the Wielkopolski National Park using a logistic model. Polish J. Environ. Studies 18 (3A): 59–64.
Grizzle J.E., Starmer C.F., Koch G.G. 1969. Analysis of categorical data by linear models. Biometrics 25: 489–504.
Halekoh U., Hojsgaard S., Yan J. 2006. The R package geepack for generalized estimating equations. J. Statistical Software 15 (2): 1-11.
Marcinkowska J. 1997. Healthiness of peas grown for dry seeds. [in Polish]. Biul. IHAR 201: 279–287.
McCullagh P., Nelder J.A. 1989. Generalized Linear Models. 2nd ed. Chapman and Hall, London, 511 pp.
McCulloch Ch.E., Searle S.R. 2001. Generalized, Linear, and Mixed Models. Wiley, New York, 325 pp.
Miller M.E., Davis Ch.S., Landis J.R. 1993. The analysis of longitudinal polytomous data: generalized estimating equations and connections with weighted least squares. Biometrics 49: 1033–1044.
Nashaat N.I., Heran A., Awasthi R.P., Kolte S.J. 2004. Differential response and genes for resistance to Peronospora parasitica(downy mildew) in Brassica juncea(mustard). Plant Breeding 123: 512–515.
Osiecka A. 2011. Descriptive list of agricultural plant varieties. The research Centre for Cultivar Testing at Słupia Wielka (COBORU), Agricultural Cultivars, part 2, 151 pp.
Panković D., Radovanović N., Jocić S., Satovic Z., ŠKorić D. 2007. Development of co-dominant amplified polymorphic sequence markers for resistance of sunflower to downy mildew race 730. Plant Breeding 126: 440–444.
Sadowski C., Skinder Z., Wilczewski E. 1997. The occurrence of downy mildew (Peronospora viciae(Berk.) Casp. f. sp. pisi) in the winter form of pea. Adv. Agric. Sci. Problem 446: 451–454.
SAS Institute. 1997. SAS/STAT software: Changes and enhancements through release 6.12. SAS Inst., Cary, NC.
Stegmark R. 1994. Downy mildew on peas (Peronospora viciae f. sp. pisi). Agron. Sustain. Dev. 14 (10): 641–647. Stegmark R. 1990. Selection for partial resistance to downy mildew in peas by means of greenhouse tests. Euphytica 53 (2): 87–95.
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