hierarchical models

USAGE SUMMARY

The phrase "hierarchical models" is correct and usable in written English.
It can be used in contexts related to organizational structures, data analysis, or systems that involve levels of authority or classification. Example: "In our research, we employed hierarchical models to analyze the data and understand the relationships between different variables."

✓ Grammatically correct

Academia

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

57 human-written examples

Hierarchical models get around the problem by nesting one regression model within another.

Harvard Business Review

This software, NIMBLE, takes a new approach toward the statistical analysis of hierarchical models.

University of California, Berkeley

Complete class theorems ("all" minimax or admissible procedures are "Bayes"), Bayes procedures, conjugate priors, hierarchical models.

Stanford University

Differential changes in body mass index after retirement by occupation: hierarchical models.

Yale University

Ptalon says nothing about computation, only the structure of hierarchical models that communicate through ports.

University of California, Berkeley

* Inference in hierarchical models can explain how knowledge at multiple levels of abstraction is acquired.

Massachusetts Institute of Technology

Taylor's approach, and the hierarchical models that it created, were the dominant force of the 20th Century.

Harvard Business Review

Yamins, D. L. K. et al. Performance-optimized hierarchical models predict neural responses in higher visual cortex.

Nature

Human-verified similar examples from authoritative sources

Similar Expressions

3 human-written examples

For non-hierarchical models, p D should be approximately the true number of parameters.

BMC Medical Research Methodology

Hierarchical models using shrinkage estimates were performed to adjust for case mix and hospital volume.

Duke University

Gelman, A. & Hill, J. Data analysis using regression and multi-level/hierarchical models 625 (Cambridge Univ. Press, 2007).

Nature

Expert writing Tips

Best practice

When describing "hierarchical models", clearly define each level and its relationship to other levels to avoid ambiguity.

Common error

Avoid using "hierarchical models" without specifying the criteria for hierarchy or the distinct characteristics of each level. This can lead to confusion and misinterpretation.

Linguistic Context

The phrase "hierarchical models" functions primarily as a noun phrase, typically acting as the subject or object of a sentence. It refers to structured frameworks where elements are organized into levels, as evidenced by Ludwig examples across various fields.

Expression frequency: Very common

Frequent in

Science

42%

Academia

33%

News & Media

12%

Less common in

Formal & Business

8%

Encyclopedias

3%

Wiki

2%

Ludwig's WRAP-UP

In summary, "hierarchical models" is a grammatically correct and frequently used noun phrase across diverse fields like science, academia, and news media, as affirmed by Ludwig AI. It denotes structured frameworks with nested levels, serving to describe or analyze systems with layered organization. While the phrase is versatile, clarity in defining each level is crucial. For alternatives, consider "tiered structures" or "multi-level systems" depending on the specific context, but remember that the most suitable alternative depends on context.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

ranked hierarchies

Focuses on hierarchies where elements are ranked based on importance or authority.

tiered structures

Emphasizes the layered aspect of the models, focusing on distinct levels.

multi-level systems

Highlights the presence of multiple levels within the system.

tree-like structures

Describes the structure resembling a tree with branching levels.

layered architectures

Focuses on the architectural arrangement with distinct layers.

nested frameworks

Implies a structure where elements are contained within each other.

staged processes

Emphasizes the sequential progression through different stages.

recursive patterns

Highlights the self-similar and repeating nature of the model's structure.

graded arrangements

Suggests an arrangement where elements are ranked or graded.

complex organizational structures

General alternative that emphasize the complex relationship of items involved

FAQs

How are "hierarchical models" used in data analysis?

"Hierarchical models" in data analysis are used to represent data with nested structures, allowing for the analysis of variation at different levels. For example, they can model student performance within classrooms, and classrooms within schools.

What are some alternatives to saying "hierarchical models"?

Alternatives to "hierarchical models" include "tiered structures", "multi-level systems", or "layered architectures", depending on the context.

In what fields are "hierarchical models" commonly used?

"Hierarchical models" are commonly used in statistics, machine learning, organizational management, and biology to represent and analyze data or systems with nested structures.

How do "hierarchical models" differ from non-hierarchical models?

"Hierarchical models" account for dependencies between different levels of data, whereas non-hierarchical models treat all data points as independent. This makes "hierarchical models" suitable for clustered or nested data structures.