{"product_id":"small-sample-confidence-intervals-in-jason-e-tisdel-9781288294831","title":"Small Sample Confidence Intervals in Log Space Back-Transformed From Normal Space","description":"The logarithmic transformation is commonly applied to a lognormal data set to improve symmetry, homoscedasticity, and linearity. Simple to implement and easy to understand, the logarithm function transforms the original data to closely resemble a normal distribution. Analysis in the normal space provides point estimates and confidence intervals, but transformation back to the original space using the naive approach yields confidence intervals of impractical width. The naive approach applies the exponential function e to the parameter of interest in normal space to obtain the corresponding parameter of interest in the original space. The naive approach offers results that are often inadequate for practical purposes. We present an alternative approach that provides improved results in the form of decreased interval width, increased confidence level, or both. Our alternative approach yields dramatically improved results at small sample sizes drawn from the right tail of the lognormal distribution.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Jason E. Tisdel\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1288294832\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781288294831\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Biblioscholar\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/13\/2012\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 74\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.26lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.15d","brand":"Jason E. Tisdel","offers":[{"title":"Paperback","offer_id":48449419968767,"sku":"9781288294831","price":15.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_9bd25b55-a8fc-466b-a4cc-dd32ec04ae13.jpg?v=1777263310","url":"https:\/\/www.whiterainbookhouse.com\/products\/small-sample-confidence-intervals-in-jason-e-tisdel-9781288294831","provider":"WR Book House","version":"1.0","type":"link"}