The Single-Sample t Test
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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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
- Publisher
- Chapman and Hall/CRC
- Published
- 2020-06-09
- Pages
- 163-210
- OpenAlex
- W4254199967
- Semantic Scholar
- 9ef8822b328e92c7e2720a5159b6d6666094f434
- 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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