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Advanced Statistical Methods and Models

Advanced Statistical Methods and Models is a research topic within Statistics and Probability. Science Explorer counts 39k research works in it since 1950. 10.0% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on the detection, impact, and handling of multicollinearity in regression analysis. It discusses methods for identifying outliers, robust estimation techniques, variance inflation factors, and the use of depth functions in analyzing data. The cluster also explores the relative importance of predictors, principal component analysis, and the application of these concepts to functional data.

  • Multicollinearity
  • Regression Analysis
  • Outlier Detection
  • Robust Estimation
  • Variance Inflation Factor
  • Principal Component Analysis
  • Relative Importance
  • Depth Functions
  • Robust Statistics
  • Functional Data
Research works
39k
fractional, since 1950
In the world top 10%
3.9k
per year above
Top-10% rate
10.0%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
0%
the tick is no change
Largest producer
United States
32% of the 10 largest, 2022-now
Advanced Statistical Methods and Models

Which countries lead Advanced Statistical Methods and Models research?

By volume, the United States and China publish the most (909 and 652 works in 2022-now).

By volume, 2022-now

  1. 1 United States 909 works
  2. 2 China 652 works
  3. 3 India 294 works
  4. 4 Germany 173 works
  5. 5 Italy 157 works
  6. 6 Türkiye 151 works
  7. 7 United Kingdom 139 works
  8. 8 Canada 138 works
  9. 9 Japan 135 works
  10. 10 France 117 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

United States: 31.7%China: 22.8%India: 10.3%Germany: 6.0%6 others listed: 29.2%32%largest
United States909 · 31.7%China652 · 22.8%India294 · 10.3%Germany173 · 6.0%6 others listed837 · 29.2%

Shares of the rows listed above, not of the whole node.

Which institutions lead Advanced Statistical Methods and Models research?

By volume in 2022-now, Centre National de la Recherche Scientifique publishes the most Advanced Statistical Methods and Models research, followed by Sapienza University of Rome and University of North Carolina at Chapel Hill.

By volume, 2022-now

  1. 1 Centre National de la Recherche ScientifiqueFrance 37 works
  2. 2 Sapienza University of RomeItaly 26 works
  3. 3 University of North Carolina at Chapel HillUnited States 24 works
  4. 4 King Mongkut's University of Technology North BangkokThailand 24 works
  5. 5 Sepuluh Nopember Institute of TechnologyIndonesia 23 works
  6. 6 Russian Academy of SciencesRussia 22 works
  7. 7 University of MosulIraq 19 works
  8. 8 Indian Statistical InstituteIndia 18 works
  9. 9 Cairo UniversityEgypt 18 works
  10. 10 Chinese Academy of SciencesChina 15 works

Who are the leading researchers in Advanced Statistical Methods and Models?

The most-cited researchers publishing on Advanced Statistical Methods and Models include Douglas G. Altman, Yoshua Bengio and Robert John Tibshirani.

  1. 1 Douglas G. Altman United Kingdom 862k citations
  2. 2 Yoshua Bengio Canada 476k citations
  3. 3 Robert John Tibshirani United States 396k citations
  4. 4 Ronald C. Kessler United States 360k citations
  5. 5 Donald B. Rubin United States 301k citations
  6. 6 Trevor Hastie United States 301k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

What are the most cited papers in Advanced Statistical Methods and Models?

The most cited paper in Advanced Statistical Methods and Models is "Evaluating Structural Equation Models with Unobservable Variables and Measurement Error" (Claes Fornell, David F. Larcker, 1981), with 71,613 citations. Next come "Regression Shrinkage and Selection Via the Lasso" (53,131) and "Coefficient Alpha and the Internal Structure of Tests" (44,025).

Most cited papers
#PaperReleasedCitations
1 Evaluating Structural Equation Models with Unobservable Variables and Measurement Error Claes Fornell, David F. Larcker · Journal of Marketing Research Feb 1981 71,613
2 Regression Shrinkage and Selection Via the Lasso Robert John Tibshirani · Journal of the Royal Statistical Society Series B (Statistical Methodology) 1996 53,131
3 Coefficient Alpha and the Internal Structure of Tests Lee J. Cronbach · Psychometrika Open access Sep 1951 44,025
4 Statistical power analyses using G*Power 3.1: Tests for correlation and regression analyses Franz Faul, Edgar Erdfelder, Axel Buchner et al. · Behavior Research Methods Open access Nov 2009 37,775
5 Alternative Ways of Assessing Model Fit Michael W. Browne, Robert A. Cudeck · Sociological Methods & Research Nov 1992 25,414
All 97 most cited papers, with filters and sorting

Where is Advanced Statistical Methods and Models research done?

The largest centres of Advanced Statistical Methods and Models research in 2022-now are Beijing (China), Tokyo (Japan), Shanghai (China) and Seoul (South Korea).

Largest cities, 2022-now

  1. 1 BeijingChina 132 works
  2. 2 TokyoJapan 60 works
  3. 3 ShanghaiChina 53 works
  4. 4 SeoulSouth Korea 52 works
  5. 5 RomeItaly 40 works
  6. 6 BangkokThailand 40 works
  7. 7 LondonUnited Kingdom 38 works
  8. 8 MoscowRussia 38 works
  9. 9 NanjingChina 36 works
  10. 10 SurabayaIndonesia 32 works
See Advanced Statistical Methods and Models on the map

Where is the best place to study Advanced Statistical Methods and Models?

Among universities, judged by research, Sapienza University of Rome, Florida International University and King Mongkut's University of Technology North Bangkok score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%20%40%mean 18.72%fractional works in this field (log) →share of work in the world top 10% →Florida Internationa…Cairo UniversitySapienza University …King Mongkut's Unive…
above the meannear itbelow it

One dot per university in the first ten of the table below, at the default weights. The upper left is the interesting corner: small places doing unusually strong work.

Excellenceshare of its work in the world top 10%, 2022-now and all time averaged
40%
Specialisationhow much of its work is in this field, counted up to 10× the world share
10%
Sizeits output in this field, on a log scale
30%
Growthoutput growth, counted from -20% to +20%
10%
Internationalshare of its work with a co-author abroad
10%
Each slider sets a weight; the share it gets of the score is beside it.
#UniversityScoreTop 10%SpecialisationWorksGrowth
1Sapienza University of RomeItaly 70.517.1%5.3×26 +346.8%
2Florida International UniversityUnited States 68.532.9%8.4×10 +42.7%
3King Mongkut's University of Technology North BangkokThailand 64.111.0%44.9×24 +77.8%
4Cairo UniversityEgypt 64.019.1%5.6×18 +34.1%
5University of PaduaItaly 62.519.4%4.6×15 +85.4%
6University of MosulIraq 58.69.7%12.4×19 +29.8%
7University of WashingtonUnited States 56.419.7%3.0×14 +12.2%
8Harvard UniversityUnited States 54.320.2%0.8×11 +101.7%
9University College LondonUnited Kingdom 54.126.9%1.4×9 +27.1%
10University of TorontoCanada 53.711.2%1.8×15 +93.6%

Universities only. The score blends excellence (40%), size (30%), specialisation (10%), growth (10%), international reach (10%), 2022-now; growth compares 2018-21 with 2022-25 and counts up to +20%, since a jump from a small base is mostly noise.

Every institution in Advanced Statistical Methods and Models, country by country

Is Advanced Statistical Methods and Models research growing?

Output in 2022-2025 was 0% lower than in 2018-2021, peaking in 2021.

still counting19801990200020102020
grewheldshrank

The same series as a ribbon: one cell per year, darker for more. The line above answers how much; this answers when.

Its share of all research

Growing output can still be a shrinking share: all of science grows. This is Advanced Statistical Methods and Models as a percentage of every work published that year, 0.021% in 2024.

still counting0.050%0.10%0.15%Advanced Statistical Methods and Models0.019% in 202519801990200020102020

Fractional works of Advanced Statistical Methods and Models over all fractional works that year. How the balance of science has shifted.

How much of it reaches the world top 10%

Year by year.

still counting5%10%15%Advanced Statistical Methods and Models10.0% in 2025200020102020

Of each year's works in it, the share that reached the world's 10% most cited for their field and year. A field is the world for its own topics, so there is no other line to hold it against.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.

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