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X−1-balance of some partially balanced experimental designs with particular emphasis on block and row-column designs

100%
Walkowiak R.
Biometrical Letters
|
2015
|
tom 52
|
nr 1
1-12
EN
This paper considers block designs and row-column designs where the information matrix C has two different nonzero eigenvalues, one of multiplicity 1 and the other of multiplicity h−1, where h is the rank of the matrix C. It was found that for each such design there exists a diagonal positive definite matrix X such that the design is X −1-balanced.
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Estimation of linear parametric functions in multiresponse models

100%
Walkowiak R.
Mathematica Applicanda
|
1987
|
tom 15
|
nr 29
PL
.
EN
Consider an incomplete multiresponse experiment with a classification of the observations into u classes. The class Si contains ti treatments with ni observations. Thus, the experiment can be described by the set {Y1,Y2,...,Yu}, where Yi are ni×ti random matrices of observations from the class Si. For the expectation of each Yi a linear model with main and nuisance parameters is proposed. The problem of (linear) estimation of the main parameters is considered using results of R. Zmyślony [in Mathematical statistics and probability theory (Wisła, 1978), 365–373, Lecture Notes in Statist., 2, Springer, New York, 1980; MR0577292] and J. K. Baksalary [Math. Operationsforsch. Statist. Ser. Statist. 15 (1984), no. 1, 3–35; MR0729609].
3
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The effect of integrated tillage of light soil on potato yields

51%
Walkowiak R., Podsiadłowski S., Czajka M.
Biometrical Letters
|
2017
|
tom 54
|
nr 2
187-201
EN
Excessive compaction of soil has an adverse effect on its aggregate structure, and as a result also on the yields of various crops. To prevent this negative impact, diverse methods of limited tillage are applied. However, these methods are not effective when cultivating sandy soils of very low natural porosity. An original integrated tillage method for such soils has been developed at the Poznań University of Life Sciences. This paper presents a comparison of yields and quality of three popular potato cultivars following the application of conventional and integrated tillage methods. The experiment shows that integrated tillage contributes to an increase in potato yield by providing better conditions for tuber growth.
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