T test as a parametric statistic

In statistic tests, the probability distribution of the statistics is important. When samples are drawn from population N (µ, σ(2)) with a sample size of n, the distribution of the sample mean X̄ should be a normal distribution N (µ, σ(2)/n). Under the null hypothesis µ = µ0, the distribution of sta...

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Vydáno v:Korean journal of anesthesiology Ročník 68; číslo 6; s. 540 - 546
Hlavní autor: Kim, Tae Kyun
Médium: Journal Article
Jazyk:angličtina
Vydáno: Korea (South) The Korean Society of Anesthesiologists 01.12.2015
Korean Society of Anesthesiologists
대한마취통증의학회
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ISSN:2005-6419, 2005-7563
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Shrnutí:In statistic tests, the probability distribution of the statistics is important. When samples are drawn from population N (µ, σ(2)) with a sample size of n, the distribution of the sample mean X̄ should be a normal distribution N (µ, σ(2)/n). Under the null hypothesis µ = µ0, the distribution of statistics [Formula: see text] should be standardized as a normal distribution. When the variance of the population is not known, replacement with the sample variance s (2) is possible. In this case, the statistics [Formula: see text] follows a t distribution (n-1 degrees of freedom). An independent-group t test can be carried out for a comparison of means between two independent groups, with a paired t test for paired data. As the t test is a parametric test, samples should meet certain preconditions, such as normality, equal variances and independence.
Bibliografie:ObjectType-Article-2
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G704-000679.2015.68.6.003
ISSN:2005-6419
2005-7563
DOI:10.4097/kjae.2015.68.6.540