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Use of α-resolvable designs in the construction of two-factor experiments of split-plot type 采用α-可分辨设计构建分块型双因素实验
Biometrical Letters Pub Date : 2016-12-01 DOI: 10.1515/bile-2016-0008
K. Ozawa, Shinji Kuriki, S. Mejza
{"title":"Use of α-resolvable designs in the construction of two-factor experiments of split-plot type","authors":"K. Ozawa, Shinji Kuriki, S. Mejza","doi":"10.1515/bile-2016-0008","DOIUrl":"https://doi.org/10.1515/bile-2016-0008","url":null,"abstract":"Abstract We consider an incomplete split-plot design (ISPD) with two factors generated by the semi-Kronecker product of two α-resolvable designs. We use an α-resolvable design for the whole plot treatments and an affine α-resolvable design for the subplot treatments. We characterize the ISPDs with respect to the general balance property, and we give the stratum efficiency factors for the ISPDs.","PeriodicalId":8933,"journal":{"name":"Biometrical Letters","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84272222","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}
引用次数: 0
A note on the D-optimality and D-efficiency of nonorthogonal blocked main effects plans 非正交阻塞主效应方案的d -最优性和d -效率
Biometrical Letters Pub Date : 2016-12-01 DOI: 10.1515/bile-2016-0009
Łukasz Smaga
{"title":"A note on the D-optimality and D-efficiency of nonorthogonal blocked main effects plans","authors":"Łukasz Smaga","doi":"10.1515/bile-2016-0009","DOIUrl":"https://doi.org/10.1515/bile-2016-0009","url":null,"abstract":"Abstract This paper considers main effects plans used to study m two-level factors using n runs which are partitioned into b blocks of equal size k = n/b. The assumptions are adopted that n ≡ 2 (mod 8) and k > 2 is even. Certain designs not having all main effects orthogonal to blocks were shown by Jacroux (2011a) to be D-optimal when (m − 2)(k − 2) + 2 ⩽ n ⩽ (m − 1)(k − 2) + 2. Here, we extend that result. For (m − 3)(k − 2) + 2 ⩽ n < (m − 2)(k − 2) + 2, the D-optimality of those designs is proved. Moreover, their D-efficiency is shown to be close to one for 2(m + 1) ⩽ n < (m − 3)(k − 2) + 2, indicating their good performance under the criterion of D-optimality.","PeriodicalId":8933,"journal":{"name":"Biometrical Letters","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84652330","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}
引用次数: 1
A comparison between the continual reassessment method and D-optimum design for dose finding in phase I clinical trials 持续再评估法与d -优化设计在I期临床试验中剂量选择的比较
Biometrical Letters Pub Date : 2016-12-01 DOI: 10.1515/bile-2016-0006
M. Alam
{"title":"A comparison between the continual reassessment method and D-optimum design for dose finding in phase I clinical trials","authors":"M. Alam","doi":"10.1515/bile-2016-0006","DOIUrl":"https://doi.org/10.1515/bile-2016-0006","url":null,"abstract":"Abstract The continual reassessment method is a model-based procedure, described in the literature, used to determine the maximum tolerated dose in phase I clinical trials. The maximum tolerated dose can also be found under the framework of D-optimum design, where information is gathered in such a way so that asymptotic variability in the parameter estimates in minimised. This paper investigates the two methods under some realistic settings to explore any potential differences between them. Simulation studies for six plausible dose-response scenarios show that D-optimum design can work well in comparison with the continual reassessment method in many cases. The D-optimum design is also found to allocate doses from the extremes of the design region to the patients in a trial.","PeriodicalId":8933,"journal":{"name":"Biometrical Letters","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90597162","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}
引用次数: 2
The mineralization effect of wheat straw on soil properties described by MFPC analysis and other methods 用MFPC分析等方法描述了麦秸矿化对土壤性质的影响
Biometrical Letters Pub Date : 2016-12-01 DOI: 10.1515/bile-2016-0010
M. Jakubus, M. Krzyśko, W. Wołyński, M. Graczyk
{"title":"The mineralization effect of wheat straw on soil properties described by MFPC analysis and other methods","authors":"M. Jakubus, M. Krzyśko, W. Wołyński, M. Graczyk","doi":"10.1515/bile-2016-0010","DOIUrl":"https://doi.org/10.1515/bile-2016-0010","url":null,"abstract":"Abstract Recycling of crop residues is essential to sustain soil fertility and crop production. Despite the positive effect of straw incorporation, the slow decomposition of that organic substance is a serious issue. The aim of the study was to assess the influence of winter wheat straws with different degrees of stem solidness on the rate of decomposition and soil properties. An incubation experiment lasting 425 days was carried out in controlled conditions. To perform analyses, soil samples were collected after 7, 14, 21, 28, 35, 49, 63, 77, 91, 119, 147, 175, 203, 231, 259, 313, 341, 369, 397 and 425 days of incubation. The addition of two types of winter wheat straw with different degree of stem solidness into the sandy soil differentiated the experimental treatments. The results demonstrate that straw mineralization was a relatively slow process and did not depend on the degree of filling of the stem by pith. Multivariate functional principal component analysis (MFPC) gave proof of significant variation between the control soil and the soil incubated with the straws. The first functional principal component describes 48.53% and the second 18.55%, of the variability of soil properties. Organic carbon, mineral nitrogen and sum of bases impact on the first functional principal component, whereas, magnesium, sum of bases and total nitrogen impact on the second functional principal component.","PeriodicalId":8933,"journal":{"name":"Biometrical Letters","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76676787","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}
引用次数: 0
A selection modelling approach to analysing missing data of liver Cirrhosis patients 肝硬化患者缺失数据分析的选择建模方法
Biometrical Letters Pub Date : 2016-12-01 DOI: 10.1515/bile-2016-0007
D. C. Nath, R. Vishwakarma, A. Bhattacharjee
{"title":"A selection modelling approach to analysing missing data of liver Cirrhosis patients","authors":"D. C. Nath, R. Vishwakarma, A. Bhattacharjee","doi":"10.1515/bile-2016-0007","DOIUrl":"https://doi.org/10.1515/bile-2016-0007","url":null,"abstract":"Abstract Methods for dealing with missing data in clinical trials have received increased attention from the regulators and practitioners in the pharmaceutical industry over the last few years. Consideration of missing data in a study is important as they can lead to substantial biases and have an impact on overall statistical power. This problem may be caused by patients dropping before completion of the study. The new guidelines of the International Conference on Harmonization place great emphasis on the importance of carefully choosing primary analysis methods based on clearly formulated assumptions regarding the missingness mechanism. The reason for dropout or withdrawal would be either related to the trial (e.g. adverse event, death, unpleasant study procedures, lack of improvement) or unrelated to the trial (e.g. moving away, unrelated disease). We applied selection models on liver cirrhosis patient data to analyse the treatment efficiency comparing the surgery of liver cirrhosis patients with consenting for participation HFLPC (Human Fatal Liver Progenitor Cells) infusion with surgery alone. It was found that comparison between treatment conditions when missing values are ignored potentially leads to biased conclusions.","PeriodicalId":8933,"journal":{"name":"Biometrical Letters","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82991093","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}
引用次数: 5
Evaluation of spring barley breeding lines in a two-year multi-location experiment using some statistical methods 用统计方法对两年多地春大麦育种品系进行评价
Biometrical Letters Pub Date : 2016-12-01 DOI: 10.1515/bile-2016-0011
B. Zawieja, E. Bakinowska, A. Bichoński
{"title":"Evaluation of spring barley breeding lines in a two-year multi-location experiment using some statistical methods","authors":"B. Zawieja, E. Bakinowska, A. Bichoński","doi":"10.1515/bile-2016-0011","DOIUrl":"https://doi.org/10.1515/bile-2016-0011","url":null,"abstract":"Abstract In breeding experiments conducted prior to tests connected with the registration of new breeding lines of crops, pre-preliminary and preliminary trials are carried out. In this study a comparison was made among some models of analysis of variance, in relation to the selection of new breeding lines of spring barley (Hordeum vulgare L.). The aim is to determine whether the choice of model of analysis of variance may influence the choice of tested breeding lines. The trait considered was the yield in two years of trials. A more comprehensive analysis of variance model was found to be superior. It was also found that the results of analyses performed using average measurements for lines significantly differ from those obtained on the basis of all measurements. It was concluded that the type of ANOVA model used may have an impact on inferences about breeding lines. Moreover, a lack of stability in the yields of tested lines was revealed, implying the necessity of several years of trials.","PeriodicalId":8933,"journal":{"name":"Biometrical Letters","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88594726","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}
引用次数: 0
The comparison of three models applied to the analysis of a three-factor trial on hybrid maize (Zea mays L.) cultivars 三种模型在玉米杂交品种三因子试验分析中的比较
Biometrical Letters Pub Date : 2016-06-01 DOI: 10.1515/bile-2016-0004
P. Szulc, I. Mejza, K. Ambroży-Deręgowska, K. Nowosad, J. Bocianowski
{"title":"The comparison of three models applied to the analysis of a three-factor trial on hybrid maize (Zea mays L.) cultivars","authors":"P. Szulc, I. Mejza, K. Ambroży-Deręgowska, K. Nowosad, J. Bocianowski","doi":"10.1515/bile-2016-0004","DOIUrl":"https://doi.org/10.1515/bile-2016-0004","url":null,"abstract":"Summary The aim of this paper is to present the comparison of three models applied to the analysis of a one-year study of protein yield for two types of hybrid maize cultivars under different forms of nitrogen fertilizer and doses of magnesium. The field trial was conducted in 2010 at the Agricultural Experimental Station in Swadzim (Poland). The results obtained were analyzed in terms of three randomization-derived models of observations. Consideration was given to three mixed systems, which are combinations of split-plot design, split-block design and randomized complete block design. The relative efficiency of the designs with respect to estimation of some comparisons among treatment combination effects was examined. Particular attention was paid to the interaction between cultivars and nitrogen fertilization.","PeriodicalId":8933,"journal":{"name":"Biometrical Letters","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85791211","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}
引用次数: 12
On prefermentative maceration techniques: statistical analysis of sensory descriptors in Sangiovese wine 桑娇维塞葡萄酒感官描述符的统计分析
Biometrical Letters Pub Date : 2016-06-01 DOI: 10.1515/bile-2016-0001
Alessandro Magrini, O. Pantani, A. Bartolini, F. Stefanini
{"title":"On prefermentative maceration techniques: statistical analysis of sensory descriptors in Sangiovese wine","authors":"Alessandro Magrini, O. Pantani, A. Bartolini, F. Stefanini","doi":"10.1515/bile-2016-0001","DOIUrl":"https://doi.org/10.1515/bile-2016-0001","url":null,"abstract":"Summary The analysis of wine sensory descriptors is a fundamental step in the improvement of wine making, because the procedures are judged just before bottled wine is ready for consumption. Despite several contributions in the literature, traditional analysis of variance methods are not adequate to analyse sensory descriptors, because they are defined on ordinal scales. In this paper, we exploit cumulative link mixed models in a three-way full factorial design to assess the effect of prefermentative maceration, temperature and saignée on wine sensory descriptors. Using cumulative link mixed models, the bias introduced by assessors’ judgement and the ordinal scale of sensory descriptors are taken into account. The results were the following: the application of prefermentative maceration techniques did not lead to an improvement in the sensory profile of wines after a year from bottling; wines treated with saignée showed greater intensity in olfactive descriptors; and higher fermentation temperatures resulted in wines that were generally more concentrated.","PeriodicalId":8933,"journal":{"name":"Biometrical Letters","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83081109","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}
引用次数: 1
Allocation of oaks to Kraft classes based on linear and nonlinear kernel discriminant variables 基于线性和非线性核判别变量的橡树卡夫类分配
Biometrical Letters Pub Date : 2016-06-01 DOI: 10.1515/bile-2016-0005
B. Zawieja, K. Kazmierczak
{"title":"Allocation of oaks to Kraft classes based on linear and nonlinear kernel discriminant variables","authors":"B. Zawieja, K. Kazmierczak","doi":"10.1515/bile-2016-0005","DOIUrl":"https://doi.org/10.1515/bile-2016-0005","url":null,"abstract":"Summary A method of discriminant variable determination was used to visualize the division of oak trees into Kraft classes. Usual discriminant variables and several types of kernel discriminant variables were studied. For this purpose the traits of oak (Quercus L.) trees, measured on standing trees, were used. These traits included height of tree, breast height diameter and crown projection area. The use of the Gaussian kernel and modified Gaussian kernel enabled the clearest division into Kraft classes. In particular, the latter method proved to be the most effective.","PeriodicalId":8933,"journal":{"name":"Biometrical Letters","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89205237","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}
引用次数: 2
The dependence of DUS (distinctness, uniformity and stability) decisions concerning white mustard and oilseed rape varieties on the number of measurements 白芥菜和油菜品种DUS(独特性、均匀性和稳定性)判定与测定次数的关系
Biometrical Letters Pub Date : 2016-06-01 DOI: 10.1515/bile-2016-0003
W. Pilarczyk, B. Kowalczyk, B. Zawieja
{"title":"The dependence of DUS (distinctness, uniformity and stability) decisions concerning white mustard and oilseed rape varieties on the number of measurements","authors":"W. Pilarczyk, B. Kowalczyk, B. Zawieja","doi":"10.1515/bile-2016-0003","DOIUrl":"https://doi.org/10.1515/bile-2016-0003","url":null,"abstract":"Summary An analysis is made of the possibility of reducing numbers of measurements in DUS (distinctness, uniformity and stability) trials on varieties of white mustard and oilseed rape, based on the results of DUS trials performed in the years 2005–2009 by the Research Centre for Cultivar Testing. It is shown that, when decisions are taken after three years of testing, it is possible to decrease the number of measurements by 50%, with the decisions practically unchanged for both considered species. For so-called early decisions (after two years of testing) the distinctness decisions are again practically the same for full and reduced data, although the decisions concerning uniformity differ significantly. This means that the number of measurements can be reduced only in cases where DUS testing is continued for three years.","PeriodicalId":8933,"journal":{"name":"Biometrical Letters","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73525055","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}
引用次数: 1
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