Exact simultaneous confidence intervals for a finite set of contrasts of three, four or five generally correlated normal means

Liu, Wei; Ah-Kine, P.; Bretz, Frank; Hayter, Anthony J.

doi:10.1016/j.csda.2012.06.007

Cited by 6 publications

(2 citation statements)

References 27 publications

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“…When the number of comparisons is “small” compared to the sample sizes, approximate and exact methods are available. 19 , 40 – 43 These methods are, however, limited to the number of comparisons to be made and are not applicable in high-dimensional situations. Note that the methods are not applicable because of the test statistic itself (maximum t -test) or because of any computational difficulty, and information about its distribution is only available for low-dimensional designs.…”

Section: Discussion and Outlookmentioning

confidence: 99%

Small sample sizes: A big data problem in high-dimensional data analysis

Konietschke

Schwab

Pauly

2020

Stat Methods Med Res

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In many experiments and especially in translational and preclinical research, sample sizes are (very) small. In addition, data designs are often high dimensional, i.e. more dependent than independent replications of the trial are observed. The present paper discusses the applicability of max t-test-type statistics (multiple contrast tests) in high-dimensional designs (repeated measures or multivariate) with small sample sizes. A randomization-based approach is developed to approximate the distribution of the maximum statistic. Extensive simulation studies confirm that the new method is particularly suitable for analyzing data sets with small sample sizes. A real data set illustrates the application of the methods.

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Section: Discussion and Outlookmentioning

confidence: 99%

Small sample sizes: A big data problem in high-dimensional data analysis

Konietschke

Schwab

Pauly

2020

Stat Methods Med Res

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“…Analyzing foreign papers in recent years by (Beckert 2013;Hilty and Aebischer 2015;Center for Global Development 2020;Chen et al 2018;Lee et al 2017;Liu et al 2013;Njøs and Jakobsen 2016;Poly et al 2015;Reichardt 2022;Shani and Coghlan 2019;Yoon 2017), the authors came to the conclusion that the research technologies used in them are based only on analysis, which does not allow for forecasting. In the works of (Boyadjiev 2019;Gungor et al 2019;Lennert 2018), despite the construction of mathematical models, the approach for accounting for indicators with different units of measurement is not taken into account.…”

Section: Introductionmentioning

confidence: 99%

Methodological Approach to Assessment Socio-Economic Development of the Chuvash Republic (Subject of the Russian Federation)

Ladykova,

Ivanova,

Streltsov

et al. 2023

Economies

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The article develops a methodological approach to the assessment of socio-economic development of the Chuvash Republic, which allows to consider the factors with heterogeneous metrics. The scientific novelty of the study lies in the combination of methods used and the sequence of stages implemented: (1) index analysis of thirty-two indicators divided into seven macro-regional blocks (income, labor, business, ecology, social, prospects, finance); (2) development of formulas for each of them and calculation of integral indicators characterizing their dynamics; (3) development of a formula to determine the rate of socio-economic development; (4) one hundred graphs for forecasting socio-economic development were constructed; (5) thirty-one legal and regulatory acts were analyzed and the dependence by year between the indicator of the rate of socio-economic development developed by the authors and the number of legal and regulatory acts implemented in the country and the region was revealed; (6) a refined classification of the rate of socio-economic development was proposed. Having determined the current situation (2020 is a state close to sustainable—the rate of 99.5%, respectively), and based on the calculated forecast values of the rate of socio-economic development of the Chuvash Republic, it is possible to influence this process depending on the objectives for the medium term, taking the necessary regulatory legal acts, aimed at financing specific macroeconomic blocks. This methodical approach is a universal calculation tool and has great potential for further research. It can be used to assess not only the impact of certain indicators on socio-economic development, it is also applicable to other sectors and spheres of activity.

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