{"title":"Sample size determination in the Mann–Whitney test","authors":"A. Kornacki, A. Bochniak, A. Kubik-Komar","doi":"10.1515/bile-2017-0010","DOIUrl":"https://doi.org/10.1515/bile-2017-0010","url":null,"abstract":"Summary This paper discusses the problem of determining the number of observations necessary to apply the nonparametric Mann-Whitney test. We describe the method given by Noether (1987) for determining a sample size which guarantees that the Mann-Whitney test at a given significance level α has a predetermined power 1-β. The presented theory is tested by calculating the empirical power in computer simulations. The paper also raises the issue of the method of rounding the determined sample size to an even number when the sample is divided into two equinumerous subsamples.","PeriodicalId":8933,"journal":{"name":"Biometrical Letters","volume":"263 1","pages":"175 - 186"},"PeriodicalIF":0.0,"publicationDate":"2017-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77921235","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The effect of integrated tillage of light soil on potato yields","authors":"R. Walkowiak, S. Podsiadlowski, M. Czajka","doi":"10.1515/bile-2017-0011","DOIUrl":"https://doi.org/10.1515/bile-2017-0011","url":null,"abstract":"Summary 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.","PeriodicalId":8933,"journal":{"name":"Biometrical Letters","volume":"10 1","pages":"187 - 201"},"PeriodicalIF":0.0,"publicationDate":"2017-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84339817","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Multidimensional Analysis of Socioeconomic Factors in Housing Policy in the Eurozone Countries (2010–2014)","authors":"António Duarte Santos, N. Silva, G. Castela","doi":"10.1515/bile-2017-0012","DOIUrl":"https://doi.org/10.1515/bile-2017-0012","url":null,"abstract":"Summary The latest global economic and financial crisis has had adverse social consequences in many areas, including income and the social situation of households and their living conditions, especially when the housing phenomenon is addressed. The reality of this uncertainty has made the study of the housing phenomenon even more relevant, in particular from the perspective of an analysis of its evolution. In this context, we revisit EUROSTAT’s databases. This analysis was done for twelve Euro Area countries over five years, using the HJ-BIPLOT method developed by Galindo (1986). This multidimensional approach identified and represented twelve Eurozone sample countries in latent constructs of reduced dimensionality related to the housing policy problem. The simultaneous factorial representation identified (a) the most relevant variables to characterize these countries, (b) their trajectories during the period in analysis, and (c) the relations between variables, between countries, and between variables and countries. This approach also identified the most significant factors contributing to the countries' performance. This methodological approach can be useful in housing research, when studying data of a multivariate nature, and is also, by its visual interpretation, a potential tool for producing richer information not only for academia but also for policy makers.","PeriodicalId":8933,"journal":{"name":"Biometrical Letters","volume":"543 1","pages":"203 - 221"},"PeriodicalIF":0.0,"publicationDate":"2017-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78889037","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On a New Approach to the Analysis of Variance for Experiments with Orthogonal Block Structure.","authors":"T. Caliński, I. Siatkowski","doi":"10.1515/bile-2017-0006","DOIUrl":"https://doi.org/10.1515/bile-2017-0006","url":null,"abstract":"Abstract Summary The main estimation and hypothesis testing results are presented for experiments conducted in proper block designs. It is shown that, under appropriate randomization, these experiments have the convenient orthogonal block structure. Because of this, the analysis of experimental data can be performed in a comparatively simple way. Certain simplifying procedures are introduced. The main advantage of the presented methodology concerns the analysis of variance and related hypothesis testing procedures. Under the adopted approach one can perform them directly, not by combining results from intra-block and inter-block analyses. Application of the theory is illustrated by three examples of real experiments in proper block designs. This is the first of a projected series of papers concerning the analysis of experiments with orthogonal block structure.","PeriodicalId":8933,"journal":{"name":"Biometrical Letters","volume":"37 1","pages":"122 - 91"},"PeriodicalIF":0.0,"publicationDate":"2017-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85492084","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A conditional linear Gaussian network to assess the impact of several agronomic settings on the quality of Tuscan Sangiovese grapes","authors":"Alessandro Magrini, S. Di Blasi, F. Stefanini","doi":"10.1515/bile-2017-0002","DOIUrl":"https://doi.org/10.1515/bile-2017-0002","url":null,"abstract":"Summary In this paper, a Conditional Linear Gaussian Network (CLGN) model is built for a two-year experiment on Tuscan Sangiovese grapes involving canopy management techniques (number of buds, defoliation and bunch thinning) and harvest time (technological and late harvest). We found that the impact of the considered treatments on the color of wine can be predicted still in the vegetative season of the grapevine; the best treatments to obtain wines with good structure are those with a low number of buds; the best treatments to obtain fresh wines suitable for young consumers are those with technological rather than late harvest, preferably with a high number of buds, and anyway with both defoliation and bunch thinning not performed.","PeriodicalId":8933,"journal":{"name":"Biometrical Letters","volume":"20 1","pages":"25 - 42"},"PeriodicalIF":0.0,"publicationDate":"2017-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78525459","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An algorithm for a new method of change-point analysis in the independent Poisson sequence","authors":"C. Hirotsu, H. Tsuruta","doi":"10.1515/bile-2017-0001","DOIUrl":"https://doi.org/10.1515/bile-2017-0001","url":null,"abstract":"Summary Step change-point and slope change-point models in the independent Poisson sequence are developed based on accumulated and doubly-accumulated statistics. The method for the step change-point model developed in Section 2 is an alternative to the likelihood ratio test of Worsley (1986) and the algorithm for p-value calculation based on the first-order Markov property is the same as that given there. Different algorithms for the non-null distribution and inference on the change-point itself are, however, newly developed and a Pascal program is given in the Appendix. These methods are extended to the slope change-point model in Section 3. The approach is essentially the same as that of Section 2 but the algorithm is now based on the second-order Markov property and becomes a little more complicated. The Pascal program related to the slope change-point model is supported on the website, URL: https://corec.meisei-u.ac.jp/labs/hirotsu/.","PeriodicalId":8933,"journal":{"name":"Biometrical Letters","volume":"28 1","pages":"1 - 24"},"PeriodicalIF":0.0,"publicationDate":"2017-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75728362","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
B. Zawieja, E. Bakinowska, A. Bichoński, W. Pilarczyk
{"title":"Impact of cereal diseases on the qualitative traits of spring barley breeding lines","authors":"B. Zawieja, E. Bakinowska, A. Bichoński, W. Pilarczyk","doi":"10.1515/bile-2017-0005","DOIUrl":"https://doi.org/10.1515/bile-2017-0005","url":null,"abstract":"Summary The differences between individual breeding lines of spring barley and a control variety were tested in terms of several measured (continuous) and qualitative traits. The impact of the qualitative traits (diseases) on the quantitative traits, especially yield, was assessed on the basis of the significance of differences for both qualitative traits and yield. Depending on the type of trait, either a logistic model or analysis of variance was used as a statistical tool. The statistically significant differences between some breeding lines and the control variety were shown. It was observed that in fodder barley both infection by mildew and lodging influenced yield. The results of analyses obtained in the so-called pre-preliminary trials and preliminary trials were different. This fact confirmed the necessity of repeating trials over several years.","PeriodicalId":8933,"journal":{"name":"Biometrical Letters","volume":"36 8 Pt 1 1","pages":"77 - 90"},"PeriodicalIF":0.0,"publicationDate":"2017-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82810984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Application of multivariate statistical methods in the assessment of mountain organic soil transformation in the central Sudetes","authors":"B. Zawieja, B. Glina","doi":"10.1515/bile-2017-0003","DOIUrl":"https://doi.org/10.1515/bile-2017-0003","url":null,"abstract":"Summary In studies of organic soil degradation and transformation, alongside the conventional methods used in soil science, an increase in the importance of advanced statistical methods can be observed. In this study some multivariate statistical methods were applied in an investigation of organic soil transformation in the central Sudetes. Andrews curves, linear and kernel discriminant variable analysis and cluster analysis were used. The similarities among peatland soils and their layers were determined. It can be stated that the application of statistical methods in soil science research related to organic soil transformation is a valuable tool. The use of various statistical methods (such as Andrews curves, linear and kernel discriminant variables and cluster analysis) can with high probability confirm earlier laboratory or field observations. This is particularly justified in the case of organic soils derived from varied geobotanical peat materials, different types of peatlands and water supply types, which impact the primary properties of the soil.","PeriodicalId":8933,"journal":{"name":"Biometrical Letters","volume":"2011 1","pages":"43 - 59"},"PeriodicalIF":0.0,"publicationDate":"2017-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86332404","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Evaluation of the impact of fertilizers and seed quality on winter wheat yield","authors":"M. Iwańska, Z. Laudański, T. Oleksiak","doi":"10.1515/bile-2017-0004","DOIUrl":"https://doi.org/10.1515/bile-2017-0004","url":null,"abstract":"Summary The aim of the study was to evaluate the effect of mineral fertilization and seed quality on the yield of winter wheat in production conditions. This assessment is made in terms of the expected probabilities of success in relation to the yield of analyzed cultivars, taking into account the interaction of the factors considered. Analyses were performed on data from 3815 fields. The impact of fertilizers and seed quality was evaluated using logistic regression. Grain yield was transformed into a binomial variable, where values were divided into two classes, i.e. below the mean and above the mean. The results of the analysis proved a significant effect of fertilization rate, which was modified by different seed quality. The highest probability of obtaining yields above the mean was observed for pre-basic and basic seed quality at high fertilizer rates.","PeriodicalId":8933,"journal":{"name":"Biometrical Letters","volume":"21 1","pages":"61 - 76"},"PeriodicalIF":0.0,"publicationDate":"2017-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81058490","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Alicja Szabelska-Beręsewicz, A. Bilska, K. Waszkowiak, I. Siatkowski
{"title":"A note on the comparison of mixed-effects models for longitudinal studies","authors":"Alicja Szabelska-Beręsewicz, A. Bilska, K. Waszkowiak, I. Siatkowski","doi":"10.1515/bile-2016-0012","DOIUrl":"https://doi.org/10.1515/bile-2016-0012","url":null,"abstract":"Abstract This paper concerns methods of choosing appropriate models for longitudinal studies. Attention is paid to three criteria: the marginal Akaike Information Criterion (mAIC), the conditional Akaike Information Criterion (cAIC), and the corrected conditional Akaike Information Criterion (ccAIC). We consider these criteria based on an example concerning the effect of storage time and addition of flaxseed (Linum usitatissimum L.) preparations (i.e. ground flaxseeds, defatted flaxseed meal and flaxseed ethanolic extract) on changes in lipid oxidation and fatty acid composition during the storage of liver pâté with partial substitution of fat with flax oil.","PeriodicalId":8933,"journal":{"name":"Biometrical Letters","volume":"209 1","pages":"165 - 173"},"PeriodicalIF":0.0,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77687362","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}