Sampling Distribution

Potter C. Chang
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Potter C. Chang: University of California at Los Angeles, Department of Biostatistics, School of Public Health

Chapter Chapter 10 in Data Analysis of Medical Studies, 2025, pp 339-373 from Springer

Abstract: Abstract Determination of P values and 95% confidence intervals require the condition that the statistics portraying revelations of data are statistics of random samples. They are derived from sampling distributions of statistics of random samples. This chapter uses simple examples to demonstrate what constitutes a random sample and what constitutes sampling distributions of statistics of random samples. Section 10.1 uses a simple example to exemplify random samples and universes. Examples of three fundamentally important sampling distributions are reviewed in Sects. 10.2, 10.3, and 10.4. The standard error of the mean of a random sample is sometimes cited in descriptions of data revelations. Its use is examined in Sect. 10.5.

Keywords: Random sample; Sampling distribution; Possible samples; Sample size; Standard error; Central limit theorem; Gaussian distribution (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/978-3-031-49984-5_10

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