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portada Small Sample Confidence Intervals in Log Space Back-Transformed from Normal Space
Type
Physical Book
Author
Publisher
Language
English
Pages
76
Format
Paperback
Dimensions
24.6x18.9x0.4 cm
Weight
0.15 kg.
ISBN13
9781288294831
Categories

Small Sample Confidence Intervals in Log Space Back-Transformed from Normal Space

Jason E. Tisdel (Author) · Biblioscholar · Paperback

Small Sample Confidence Intervals in Log Space Back-Transformed from Normal Space - Tisdel, Jason E.

New Book Imported to Taiwan
Delivery: 19 Oct - 30 Oct Shipping: 16 to 20 business days.
NT$ 943
NT$ 943

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Synopsis "Small Sample Confidence Intervals in Log Space Back-Transformed from Normal Space"

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.

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