Download PDF by Linda A. Clark, William S. Cleveland, Lorraine Denby,: Case Studies in Bayesian Statistics: Volume IV

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By Linda A. Clark, William S. Cleveland, Lorraine Denby, Chuanhai Liu (auth.), Constantine Gatsonis, Robert E. Kass, Bradley Carlin, Alicia Carriquiry, Andrew Gelman, Isabella Verdinelli, Mike West (eds.)

ISBN-10: 0387986405

ISBN-13: 9780387986401

ISBN-10: 1461215021

ISBN-13: 9781461215028

The 4th Workshop on Case stories in Bayesian records was once held on the motor vehicle­ negie Mellon collage campus on September 27-28, 1997. As long ago, the workshop featured either invited and contributed case reports. the previous have been provided and mentioned intimately whereas the latter have been provided in poster layout. This quantity includes the 4 invited case experiences with the accompanying discus­ sion in addition to 9 contributed papers chosen by way of a refereeing procedure. whereas lots of the case reviews within the quantity come from biomedical learn the reader also will locate reviews in environmental technological know-how and advertising examine. INVITED PAPERS In Modeling buyer Survey info, Linda A. Clark, William S. Cleveland, Lorraine Denby, and Chuanhai LiD use hierarchical modeling with time sequence parts in for consumer price research (CVA) facts from Lucent applied sciences. the knowledge have been derived from surveys of shoppers of the corporate and its competi­ tors, designed to evaluate relative functionality on a spectrum of concerns together with product and repair caliber and pricing. The version offers a whole description of the CVA information, with random situation and scale results for survey respondents and longitudinal corporation results for every characteristic. as well as assessing the functionality of particular businesses, the version permits the empirical exploration of the conceptual foundation of shopper price research. The authors position distinct em­ phasis on graphical screens for this advanced, multivariate set of information and contain a wealth of such plots within the paper.

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Over-qual is typically third or close to third. The next four are delivery, response, service, and pre-sup. cost is typically last. value is typically next to last or close to it. This result accords with our exogenous information. For example, the order reflects a natural grouping. fea tures and prod -qual are attributes of the physical product. deli very, response, service, and pre-sup involve the interaction of the customer with the company. over-qual is a mixture of all attributes in these two groups and so ranks toward the middle although it tends to be closer in value to the product attributes because it is most strongly linked in the minds of customers with prod-qual.

Ack are the error variables. 5 Company, Attribute, Time Effects For fixed a and c we suppose that for q =1 to 9, the time series () asq is an ISD(1, 1) process: ()asq "'asq - "'as(q-I) = + £asq Aasq + Aas(q-I), "'asq (8) (9) where the Aasq and £asq are independent of one another, and each is a gaussian white noise series with variances u( "') and u( £). This ISD(l, 1) process is also an IMA( 1,1). Formulating the structure as an ISD leads to a more fathomable parameterization that allows better incorporation of exogenous information and more efficient computational methods (Cleveland and Liu, 1998b).

The authors use a very sensible conditional analysis to choose the distribution of means and scale 52 Clark, Cleveland, Denby and Liu parameters across individuals. The distribution of means is chosen to be t(y) (a distribution hardly distinguishable from the normal) and an exponential(l) is chosen for the distribution of scale parameters across individuals. The exponential(l) is a somewhat unusual choice for a scale parameter since it puts mass near zero (the mode). This means that there are some households who use a lot of the scale while others use almost none of the scale (only one rating point).

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Case Studies in Bayesian Statistics: Volume IV by Linda A. Clark, William S. Cleveland, Lorraine Denby, Chuanhai Liu (auth.), Constantine Gatsonis, Robert E. Kass, Bradley Carlin, Alicia Carriquiry, Andrew Gelman, Isabella Verdinelli, Mike West (eds.)

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