Adjective Phrase
/juːnɪˌfɔːrmli moʊst ˈpaʊərfəl/
The term "uniformly most powerful" is used primarily in the context of statistics and hypothesis testing. It describes a statistical test that has the greatest power (the probability of correctly rejecting the null hypothesis) among all possible tests for all parameter values. This phrase is often found in written academic and research contexts, particularly in statistical literature, rather than in everyday conversation.
"Uniformly most powerful" is a specialized phrase that is commonly used in statistical discussions but not in everyday language. Its occurrence is more frequent in written contexts, such as academic papers, textbooks, and statistical methodologies.
The researcher selected a uniformly most powerful test to ensure the accuracy of the results. Исследователь выбрал унифицированно наиболее мощный тест, чтобы гарантировать точность результатов.
In this study, we compare the uniformly most powerful test to other types of tests for better validation. В этом исследовании мы сравниваем унифицированно наиболее мощный тест с другими типами тестов для лучшей валидации.
When determining the best approach, the uniformly most powerful criterion provided clear guidance. При определении лучшего подхода унифицированно наиболее мощный критерий дал четкое руководство.
Although "uniformly most powerful" is primarily a technical term, it does not have widely recognized idiomatic expressions. However, it can be referenced in expressions related to strength and effectiveness in statistics:
To have the upper hand: Selecting a uniformly most powerful test gives the researcher the upper hand in hypothesis testing. Выбор унифицированно наиболее мощного теста дает исследователю преимущество в тестировании гипотез.
Drawing a fine line: In hypothesis testing, drawing a fine line between different tests can highlight when a uniformly most powerful test is necessary. В тестировании гипотез провести тонкую грань между различными тестами может помочь подчеркнуть, когда необходим унифицированно наиболее мощный тест.
The best of both worlds: Using a uniformly most powerful test offers the best of both worlds in terms of simplicity and accuracy. Использование унифицированно наиболее мощного теста предлагает лучшее из обеих сторон с точки зрения простоты и точности.
The term "uniformly most powerful" is derived from statistical terminology. "Uniformly" originates from Latin "uniformis," meaning "of one form," while "most powerful" combines "most," a superlative of "many," and "powerful," which stems from the Latin "potentem," meaning "powerful." In statistics, it conveys the idea of a testing criterion that maintains its effectively powerful nature across different scenarios.
Synonyms: - Most efficient - Optimal - Most effective
Antonyms: - Least powerful - Ineffective - Blunt
In summary, "uniformly most powerful" is an academic term with a specific application in statistical hypothesis testing, characterized by its strong functionality and precision in written discourse.