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The term degrees of freedom refers to the number of items that can be freely varied in calculating a statistic without violating any constraints. Such items typically include observations, categories of data, frequencies, or independent variables. Because the estimation of parameters imposes constraints on a data set, a degree of freedom is generally sacrificed for each parameter that must be estimated from sample data before the desired statistic can be calculated.

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Degrees of Freedom in Statistical Inference

  • 工具书词条

  • 发表日期：

    2025年

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  • Joseph G. Eisenhauer

摘要

The term degrees of freedom refers to the number of items that can be freely varied in calculating a statistic without violating any constraints. Such items typically include observations, categories of data, frequencies, or independent variables. Because the estimation of parameters imposes constraints on a data set, a degree of freedom is generally sacrificed for each parameter that must be estimated from sample data before the desired statistic can be calculated.