{"product_id":"data-analysis-and-approximate-models-patrick-laurie-davies-9781482215861","title":"Data Analysis and Approximate Models: Model Choice, Location-Scale, Analysis of Variance, Nonparametric Regression and Image Analysis","description":"\u003cp\u003eThe First Detailed Account of Statistical Analysis That Treats Models as Approximations\u003c\/p\u003e\u003cp\u003eThe idea of truth plays a role in both Bayesian and frequentist statistics. The Bayesian concept of coherence is based on the fact that two different models or parameter values cannot both be true. Frequentist statistics is formulated as the problem of estimating the \"true but unknown\" parameter value that generated the data.\u003c\/p\u003e\u003cp\u003eForgoing any concept of truth, \u003cstrong\u003eData Analysis and Approximate Models: Model Choice, Location-Scale, Analysis of Variance, Nonparametric Regression and Image Analysis\u003c\/strong\u003e presents statistical analysis\/inference based on approximate models. Developed by the author, this approach consistently treats models as approximations to data, not to some underlying truth.\u003c\/p\u003e\u003cp\u003eThe author develops a concept of approximation for probability models with applications to: \u003c\/p\u003e\u003cul\u003e \u003cp\u003e \u003c\/p\u003e \u003cli\u003eDiscrete data\u003c\/li\u003e \u003cli\u003eLocation scale\u003c\/li\u003e \u003cli\u003eAnalysis of variance (ANOVA)\u003c\/li\u003e \u003cli\u003eNonparametric regression, image analysis, and densities\u003c\/li\u003e \u003cli\u003eTime series\u003c\/li\u003e \u003cli\u003eModel choice\u003c\/li\u003e \u003c\/ul\u003e\u003cp\u003eThe book first highlights problems with concepts such as likelihood and efficiency and covers the definition of approximation and its consequences. A chapter on discrete data then presents the total variation metric as well as the Kullback-Leibler and chi-squared discrepancies as measures of fit. After focusing on outliers, the book discusses the location-scale problem, including approximation intervals, and gives a new treatment of higher-way ANOVA. The next several chapters describe novel procedures of nonparametric regression based on approximation. The final chapter assesses a range of statistical topics, from the likelihood principle to asymptotics and model choice.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Patrick Laurie Davies\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1482215861\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781482215861\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/16\/2014\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 320\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.35lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.30h x 6.10w x 0.90d","brand":"Patrick Laurie Davies","offers":[{"title":"Hardcover","offer_id":48088372871423,"sku":"9781482215861","price":210.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_0be16ee5-6028-4ca4-a8c0-8faacf5522ef.jpg?v=1769104473","url":"https:\/\/www.whiterainbookhouse.com\/products\/data-analysis-and-approximate-models-patrick-laurie-davies-9781482215861","provider":"WR Book House","version":"1.0","type":"link"}