The distribution of Student’s t

Pierre Jolicoeur
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Pierre Jolicoeur: University of Montreal, Department of Biological Science

Chapter Chapter 6 in Introduction to Biometry, 1999, pp 36-37 from Springer

Abstract: Abstract The distribution of Student’s t was discovered by the British biometrician William Sealy Gossett (1876–1937), who published a paper on this topic in Biometrika in 1908 under the pseudonym Student. When a sample of observations must be used to test hypotheses concerning the mean μ of of a normal statistical population, Student’s t distribution yields exact probabilities even though the standard deviation σ of that population is unknown. Before the discovery of Student’s t, the normal distribution was used as an approximation in that context, but that procedure was satisfactory only if the sample studied was large (N≥ 30). Student’s t distribution is therefore more accurate in the case of the small samples (N

Keywords: Normal Distribution; Probability Density; Experimental Biology; Gamma Function; Standardize Normal Distribution (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1007/978-1-4615-4777-8_7

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