Cited by 0Probability and Statistical ResearchStatistics Education and MethodologiesProbabilistic Statistics in Medicine

The Single-Sample t Test

Sheskin, David J.·2020·Handbook of Parametric and Nonparametric Statistical Procedures

Abstract

The single-sample t test is employed in a hypothesis testing situation involving a single sample in order to determine whether or not a sample with a mean of X is derived from a population with a mean of μ. If the result of the single-sample t test yields a significant difference, the researcher can conclude there is a high likelihood the sample is derived from a population with a mean value other than μ The following two assumptions, which are noted for the single-sample z test, also apply to the single-sample t test: The sample has been randomly selected from the population it represents; and The distribution of data in the underlying population the sample represents is normal. If the value of f is computed for a specific sample size, the power of both the single-sample z test and the single-sample t test can be determined by using.

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Crossref · 10.1201/9780429186196-6

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  • Altman, D. G., Machin, D., Bryant, T. N., & Gardner, M. J. (2002). Statistics with confidence: Confidence intervals with statistical guidelines (2nd ed.). London: British Medical Journal Books.

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Authors
Sheskin, D. J.
Corresponding author
Sheskin, David J.
Venue
Handbook of Parametric and Nonparametric Statistical Procedures
Published
2020-06-09
Pages
163-210
OpenAlex
W4254199967
Cited by
0
References
1
FWCI
0.00
Type
book chapter
Language
en
Open access
closed
Locations
Chapman & Hall/CRC eBooks (publishedVersion)
Topics
  • Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
  • Physical Sciences › Mathematics › Statistics and Probability › Statistics Education and Methodologies
  • Physical Sciences › Mathematics › Statistics and Probability › Probabilistic Statistics in Medicine
Keywords
hypothesis testing, sample mean, population mean, random sampling, normality assumption, statistical power

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