{"title":"Discussion on the Papers on ‘Statistics and Mathematics’","authors":"","doi":"10.1111/1467-9884.00132","DOIUrl":"10.1111/1467-9884.00132","url":null,"abstract":"J. A. Nelder (Imperial College of Science, Technology and Medicine, London) These four papers raise many interesting and important points. Rosemary Bailey makes a strong case for the power of mathematics in statistics as a means of generalization. This has always been an interest of mine, though I fear that the generalizations that I have been concerned with have not always been carried through with the exactness that she wishes. In her example, namely my definition of general balance (Nelder, 1965), I perhaps assumed that the models for which it was defined were those in one-to-one correspondence with the treatment structure formula, and so would have excluded the extension of Houtman and Speed (1983), or at the time I did not fully understand the scope of the result. Generalizations take time to spread, and it is disappointing that, in spite of all the work by Bailey, Tjur and others, the underlying ideas from those 1965 papers are probably understood by fewer than 10 people in North America, where the production of 'butterfly identification' books on design continues unabated. It is important to contrast the kind of generalization that Bailey writes about with the following, to me, unhelpful definition of a probability distribution.","PeriodicalId":100846,"journal":{"name":"Journal of the Royal Statistical Society: Series D (The Statistician)","volume":"47 2","pages":"273-290"},"PeriodicalIF":0.0,"publicationDate":"2008-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1111/1467-9884.00132","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"106566584","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":"Diversities of gifts, but the same spirit","authors":"P. Green","doi":"10.1046/J.1467-9884.2003.02060.X","DOIUrl":"https://doi.org/10.1046/J.1467-9884.2003.02060.X","url":null,"abstract":"Summary. This address reviews the great diversity of the discipline of statistics, seeking an essential unity among its various aspects. The role of statistical modelling in underpinning the subject is stressed.To safeguard the discipline in the future, it is seen as vital that bonds between different parts of the discipline are strengthened, to avoid fragmentation among its domains of application. Suggestions for improving the dissemination of new methodology are made, and the part that the Royal Statistical Society can play is discussed.","PeriodicalId":100846,"journal":{"name":"Journal of the Royal Statistical Society: Series D (The Statistician)","volume":"9 1","pages":"423-438"},"PeriodicalIF":0.0,"publicationDate":"2003-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78392386","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":"Practical building of subjective covariance structures for large complicated systems","authors":"M. Farrow","doi":"10.1046/J.0039-0526.2003.00418.X","DOIUrl":"https://doi.org/10.1046/J.0039-0526.2003.00418.X","url":null,"abstract":"Summary. In many practical problems it is necessary to specify prior beliefs about large numbers of related quantities. In Bayes linear systems this consists of specifying means, variances and covariances. Likewise standard probabilistic Bayesian approaches often lead to prior representations involving systems of Gaussian unknowns which require similar moment specifications. In practice, the specification of such collections of beliefs may seem daunting to non-specialists if no help or guidance is given. However, such assistance can be provided through the use of structured graphical models and some simple devices to make the task manageable. These ideas are illustrated by some practical examples. In particular, a computer system, designed for sales forecasting in supply chain management, is described. This system includes a graphical interface for building and editing belief specifications.","PeriodicalId":100846,"journal":{"name":"Journal of the Royal Statistical Society: Series D (The Statistician)","volume":"21 1","pages":"553-573"},"PeriodicalIF":0.0,"publicationDate":"2003-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83218082","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":"Nonlinear Models in Medical Statistics","authors":"Mark A. Best","doi":"10.1046/j.1467-9884.2003.t01-15-00383_17.x","DOIUrl":"https://doi.org/10.1046/j.1467-9884.2003.t01-15-00383_17.x","url":null,"abstract":"","PeriodicalId":100846,"journal":{"name":"Journal of the Royal Statistical Society: Series D (The Statistician)","volume":"52 4","pages":"701"},"PeriodicalIF":0.0,"publicationDate":"2003-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1046/j.1467-9884.2003.t01-15-00383_17.x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72296815","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 Laplace Distribution and Generalizations: a Revisit with Applications to Communications, Economics, Engineering, and Finance","authors":"Freda Kemp","doi":"10.1046/j.1467-9884.2003.t01-12-00383_14.x","DOIUrl":"https://doi.org/10.1046/j.1467-9884.2003.t01-12-00383_14.x","url":null,"abstract":"","PeriodicalId":100846,"journal":{"name":"Journal of the Royal Statistical Society: Series D (The Statistician)","volume":"52 4","pages":"698-699"},"PeriodicalIF":0.0,"publicationDate":"2003-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1046/j.1467-9884.2003.t01-12-00383_14.x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72321679","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":"Basic Statistical Methods and Models for the Sciences","authors":"Susan Starkings","doi":"10.1046/j.1467-9884.2003.t01-16-00383_19.x","DOIUrl":"https://doi.org/10.1046/j.1467-9884.2003.t01-16-00383_19.x","url":null,"abstract":"","PeriodicalId":100846,"journal":{"name":"Journal of the Royal Statistical Society: Series D (The Statistician)","volume":"52 4","pages":"702-703"},"PeriodicalIF":0.0,"publicationDate":"2003-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1046/j.1467-9884.2003.t01-16-00383_19.x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72322104","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":"Sample sizes for designed studies with correlated binary data","authors":"R. J. Brooks, A. M. Cottenden, M. J. Fader","doi":"10.1046/j.1467-9884.2003.00377.x","DOIUrl":"https://doi.org/10.1046/j.1467-9884.2003.00377.x","url":null,"abstract":"<p><b>Summary. </b> The paper considers comparative studies in which subjects use more than one product or receive more than one treatment. The paper is focused mainly on the comparison of products, including the possibility of a large number of products. The data to be analysed are on a binary variable that is observed by each subject for each product used. The calculation of the number of subjects or sample size is illustrated for a variety of basic study designs, assuming that the data may be correlated and the analysis of the data uses generalized estimating equations methodology. The sample sizes use asymptotic theory developed by Liu and Liang. A simulation study that evaluates some of the resulting sample sizes suggests that these need to be increased slightly to achieve the nominal power.</p>","PeriodicalId":100846,"journal":{"name":"Journal of the Royal Statistical Society: Series D (The Statistician)","volume":"52 4","pages":"539-551"},"PeriodicalIF":0.0,"publicationDate":"2003-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1046/j.1467-9884.2003.00377.x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72321678","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":"Book reviews: 18","authors":"Stuart Barber","doi":"10.1046/j.1467-9884.2003.t01-15-00383_18.x","DOIUrl":"https://doi.org/10.1046/j.1467-9884.2003.t01-15-00383_18.x","url":null,"abstract":"","PeriodicalId":100846,"journal":{"name":"Journal of the Royal Statistical Society: Series D (The Statistician)","volume":"52 4","pages":"701-702"},"PeriodicalIF":0.0,"publicationDate":"2003-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1046/j.1467-9884.2003.t01-15-00383_18.x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72321689","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":"50 years of statistics teaching in English schools: some milestones","authors":"Peter Holmes","doi":"10.1046/j.1467-9884.2003.372_1.x","DOIUrl":"https://doi.org/10.1046/j.1467-9884.2003.372_1.x","url":null,"abstract":"<p><b>Summary. </b> Over the past 50 years the amount of statistics in the English school curriculum has grown from almost nothing to becoming both a major part of the mathematics taught to all 5–16-year-old children and also an integral part of other school subjects. It has also become well established as a General Certificate of Education advanced level subject and as part of mathematics and other subjects at this level. This paper traces the major events that have led to this penetration of the English school curriculum over this period (generally these comments will also be true for Wales and Northern Ireland, but not Scotland) and attempts to draw out some lessons that can be learned to make effective future developments in statistical education.</p>","PeriodicalId":100846,"journal":{"name":"Journal of the Royal Statistical Society: Series D (The Statistician)","volume":"52 4","pages":"439-463"},"PeriodicalIF":0.0,"publicationDate":"2003-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1046/j.1467-9884.2003.372_1.x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72322112","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Practical building of subjective covariance structures for large complicated systems","authors":"Malcolm Farrow","doi":"10.1046/j.0039-0526.2003.00418.x","DOIUrl":"https://doi.org/10.1046/j.0039-0526.2003.00418.x","url":null,"abstract":"<p><b>Summary. </b> In many practical problems it is necessary to specify prior beliefs about large numbers of related quantities. In Bayes linear systems this consists of specifying means, variances and covariances. Likewise standard probabilistic Bayesian approaches often lead to prior representations involving systems of Gaussian unknowns which require similar moment specifications. In practice, the specification of such collections of beliefs may seem daunting to non-specialists if no help or guidance is given. However, such assistance can be provided through the use of structured graphical models and some simple devices to make the task manageable. These ideas are illustrated by some practical examples. In particular, a computer system, designed for sales forecasting in supply chain management, is described. This system includes a graphical interface for building and editing belief specifications.</p>","PeriodicalId":100846,"journal":{"name":"Journal of the Royal Statistical Society: Series D (The Statistician)","volume":"52 4","pages":"553-573"},"PeriodicalIF":0.0,"publicationDate":"2003-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1046/j.0039-0526.2003.00418.x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72322113","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}