Some remarks on fundamental formulas and facts in the statistical analysis of a constrained general linear model

Tian, Yongge; Wang, Jie

doi:10.1080/03610926.2018.1554138

Cited by 11 publications

(2 citation statements)

References 32 publications

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“…Statistical significance was determined by p ‐values that were less than 0.05 (two‐sided). Additionally, the effects of the interaction between academic goal orientation and higher education stress on mental health were investigated using a general linear model (Tian & Wang, 2018).…”

Section: Methodsmentioning

confidence: 99%

Associations of mental well‐being with higher education‐related stress and orientation of the academic goals among nursing students: A cross‐sectional study

Ji,

Zhang,

et al. 2024

Int J Mental Health Nurs

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To investigate the association between the mental health of nursing students, the stress of higher education, and academic goal orientation. At a medical college, 1170 nursing students volunteered for this cross‐sectional survey. The Warwick‐Edinburgh Well‐being Scale, the Higher Education Stress Scale, and the Academic Goal Orientation Questionnaire were utilised to collect data. Descriptive statistics, ANOVA, and Pearson correlation analysis were all performed to evaluate the data. The significance level for all statistical tests was p < 0.05. A total of 1126 valid samples, with a 96.23% effective recovery rate. The Higher Education Stress Scale score for nursing students was (38.31 ± 8.29), the Academic Goal Orientation Questionnaire result was (49.32 ± 9.62), and the Mental Health Scale value was (31.24 ± 14.00). Overall, there was a strong relationship between the stress associated with higher education, academic goal orientation, and the mental health of nursing students. Therefore, in future interventions, the Chinese government and its relevant educational authorities can enhance nursing students' ability to reasonably regulate stress related to higher education and set clear academic goals by adjusting the strategies for regulating nursing students' academic stress and increasing the number of academic goal‐oriented courses to improve their mental health.

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Section: Methodsmentioning

confidence: 99%

Associations of mental well‐being with higher education‐related stress and orientation of the academic goals among nursing students: A cross‐sectional study

Ji,

Zhang,

et al. 2024

Int J Mental Health Nurs

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“…To account for general prediction/estimation problems of unknown parameters in a given linear regression model, it is common practice to first adopt a feasible procedure for obtaining exact expressions of predictors/estimators of the unknown parameters in the model. Tian recently developed an analytical method in [33,34] to solve certain types of constrained quadratic matrix-valued function optimization problem in the Löwner partial ordering, and used the method to examine some simultaneous linear estimations/predictions of all unknown parameters in LREMs with original and future observations; see also [7,11,15,17,18,31,32,[35][36][37] for a series of related approaches.…”

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confidence: 99%

Simultaneous optimal predictions under two seemingly unrelated linear random-effects models

Tian¹,

Xie²

2022

JIMO

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<p style='text-indent:20px;'>This paper considers simultaneous optimal prediction and estimation problems in the context of linear random-effects models. Assume a pair of seemingly unrelated linear random-effects models (SULREMs) with the random-effects and the error terms correlated. Our aim is to find analytical formulas for calculating best linear unbiased predictors (BLUPs) of all unknown parameters in the two models by means of solving a constrained quadratic matrix optimization problem in the Löwner sense. We also present a variety of theoretical and statistical properties of the BLUPs under the two models.</p>

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Dispersion matrix comparisons among estimators under two competing restricted linear regression models

Ren,

Zhou

2023

Indian J Pure Appl Math

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Some remarks on fundamental formulas and facts in the statistical analysis of a constrained general linear model

Cited by 11 publications

References 32 publications

Associations of mental well‐being with higher education‐related stress and orientation of the academic goals among nursing students: A cross‐sectional study

Associations of mental well‐being with higher education‐related stress and orientation of the academic goals among nursing students: A cross‐sectional study

Simultaneous optimal predictions under two seemingly unrelated linear random-effects models

Dispersion matrix comparisons among estimators under two competing restricted linear regression models

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