Multivariate Tests for Correlated Data in Completely Randomized Designs

1999 ◽  
Vol 24 (2) ◽  
pp. 109-131 ◽  
Author(s):  
Paul W. Mielke ◽  
Kenneth J. Berry
2001 ◽  
Vol 6 (2) ◽  
pp. 15-28 ◽  
Author(s):  
K. Dučinskas ◽  
J. Šaltytė

The problem of classification of the realisation of the stationary univariate Gaussian random field into one of two populations with different means and different factorised covariance matrices is considered. In such a case optimal classification rule in the sense of minimum probability of misclassification is associated with non-linear (quadratic) discriminant function. Unknown means and the covariance matrices of the feature vector components are estimated from spatially correlated training samples using the maximum likelihood approach and assuming spatial correlations to be known. Explicit formula of Bayes error rate and the first-order asymptotic expansion of the expected error rate associated with quadratic plug-in discriminant function are presented. A set of numerical calculations for the spherical spatial correlation function is performed and two different spatial sampling designs are compared.


2021 ◽  
pp. 003435522199073
Author(s):  
Chungyi Chiu ◽  
Jessica Brooks ◽  
Alicia Jones ◽  
Kortney Wilcher ◽  
Sa Shen ◽  
...  

Resilience is central to living well with a spinal cord injury (SCI). To provide a timely, targeted, and individualized intervention supporting resilience, it is necessary to assess an individual’s resilience level and characteristics of resilience on an ongoing basis. We aimed to validate the different types of resilient coping among people with SCI (PwSCI), using the Connor–Davidson resilience scale, and to identify the relationships between resilience and other psychosocial factors among the types of resilient coping. We recruited 93 PwSCI, who took the self-report measures of resilience, depression, life satisfaction, and spirituality. Using latent class analysis, we found three types: (a) goal-pursuing, bouncing-back, and persevering, named GP; (b) uncertainty about coping with setbacks, named UC; and (c) loss of resilient coping, named LOSS. The multivariate tests indicated that the three types differed on a linear combination of resilience, depression, and life satisfaction, with a large effect size. We discussed the three types of resilient coping and the implications for psychosocial interventions. We also recommended that rehabilitation clinicians examine PwSCI’s resilience levels and types of resilience during initial and follow-up visits. In doing so, PwSCI will have timely, targeted supports for developing and/or re-building their resilience.


2000 ◽  
Vol 32 (1) ◽  
pp. 17-35 ◽  
Author(s):  
VICTOR AGADJANIAN

Data from three separate studies conducted in Maputo, Mozambique, in 1993 are used to analyse the relationship between the type of social environment in which women work and their fertility and contraceptive use. The analysis finds that women who work in more collectivized environments have fewer children and are more likely to use modern contraception than women who work in more individualized milieus and those who do not work outside the home. Most of these differences persist in multivariate tests. It is argued that collectivized work environments are most conducive to diffusion and legitimation of reproductive innovations. In contrast, individualized environments tend to isolate women and therefore may retard their acceptance of innovative fertility-related behaviour.


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