Testing Statistical Hypotheses of Equivalence
Edition: 1st edition
Publisher: Chapman & Hall/CRC
Published: November 15, 2002
Language: eng
Format: Hardcover
Number of pages: 304
ISBN-13: 9781584881605
Subjects: Epidemiology & medical statistics; Medical Research; Pharmacology; Probability & statistics; Research; Mathematical Statistics; Mathematics; Medical; Science/Mathematics; Biostatistics; Probability & Statistics - General; Mathematics / Statistics; Life Sciences - Biology - General; Statistical hypothesis testing
First sentence: It is a basic fact well known to every statistician that in any hypotheses testing problem there is an inherent logical asymmetry concerning the roles played by the two statements (traditionally termed null and alternative hypotheses) between which a decision shall be taken on the basis of the data collected in a suitable trial or experiment: Any valid testing procedure guarantees that the risk of deciding erroneously in favour of the alternative does not exceed some prespecified bound whereas the risk of taking a wrong decision in favour of the null hypothesis can typically be as high as 1 minus the significance level (i.e., 95% in the majority of practical applications).