likelihood-ratio principle (english) - meaning, definition, translation, pronunciation

Part of Speech

Noun Phrase

Phonetic Transcription

/ˈlaɪklihʊd ˈreɪʃi.oʊ ˈprɪn.sɪ.pəl/

Meaning and Usage

The term "likelihood-ratio principle" refers to a statistical approach used in hypothesis testing, particularly in the field of statistics and scientific research. It evaluates the ratio of the likelihoods of two competing hypotheses, essentially helping researchers determine which hypothesis is more plausible given the observed data. The use of this principle is prevalent in both oral and written contexts, particularly in academic writing, research papers, and statistical discussions.

Example Sentences

1. The likelihood-ratio principle provides a robust framework for comparing different models in statistical analysis.

2. Принцип отношения правдоподобия предоставляет надежную основу для сравнения различных моделей в статистическом анализе.

3. In the study, they applied the likelihood-ratio principle to assess the effectiveness of the new drug.

4. В исследовании они применили принцип отношения правдоподобия для оценки эффективности нового препарата.

5. By adopting the likelihood-ratio principle, researchers can derive more accurate conclusions from their data.

6. Применяя принцип отношения правдоподобия, исследователи могут делать более точные выводы на основе своих данных.

Idiomatic Expressions

The term "likelihood-ratio principle" itself is specialized and does not have widespread idiomatic expressions associated with it. However, the concept of likelihood and ratios often appears in statistical and analytical discussions. Here are a few related expressions that involve "likelihood":

1. "The odds are in your favor" when applying the likelihood-ratio principle.

2. "Шансы на вашей стороне", когда вы применяете принцип отношения правдоподобия.

3. "Better the devil you know than the devil you don't" can apply when choosing between hypotheses based on likelihood ratios.

4. "Лучше знакомый дьявол, чем незнакомый", когда речь заходит о выборе между гипотезами на основе отношений правдоподобия.

5. "There's a chance in a million" can be determined using the likelihood-ratio principle in certain contexts.

6. "Есть вероятность на миллион", которую можно определить с помощью принципа отношения правдоподобия в определенных контекстах.

Etymology

The term "likelihood" originates from the Middle English word "liklihod," meaning "probability" or "chance." The word "ratio" comes from the Latin word "ratios," meaning "reason" or "calculation," and "principle" stems from the Latin "principium," meaning "beginning" or "foundation." Thus, "likelihood-ratio principle" collectively indicates a foundational approach to understanding probability through ratios.

Synonyms and Antonyms

Synonyms: - Probability ratio - Odds ratio - Bayesian inference (in some contexts)

Antonyms: - Improbability - Unlikelihood

This response presents a comprehensive overview of the term "likelihood-ratio principle," covering its meaning, usage, examples, related idiomatic expressions, etymology, and synonyms/antonyms.