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Cited by 1,436

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T test as a parametric statistic

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Kim, Tae Kyun·2015·Korean Journal of Anesthesiology

Abstract

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.

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Metadata

Authors
Kim, T. K.
Venue
Korean Journal of Anesthesiology
Published
2015
Volume
68
Issue
6
Pages
540
ISSN
  • 0302-5780 (ISSN-L)
  • 2005-6419
  • 2005-7563
OpenAlex
W2183659962
Cited by
1,436
References
2
FWCI
17.52
Type
journal article
Language
en
Open access
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