Parametric robust inferences for correlated ordinal data

Tsou, Tsung Shan; Shen, Chung‐Wei

doi:10.1002/sim.3228

Cited by 5 publications

(4 citation statements)

References 12 publications

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“…If ignoring such correlation, the standard errors of estimates are likely to be underestimated, leading to incorrect inference. In this vein, we adopt a parametric robust method originated from robust likelihood function throughout the analysis (Tsou & Shen, 2008).…”

Section: Analytical Strategymentioning

confidence: 99%

The greener, the happier? The effects of greenspace on residents' happiness in contemporary urban China

Zhang

et al. 2022

Journal Community Psychology

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In recent years, research has begun to touch upon the associations between the natural environment and individuals' subjective wellbeing; however, whether such associations would vary among different groups of people remains under‐studied. Using four waves (2010–2013) of data from the Chinese General Social Survey, we investigate the group‐specific correlation between environment—specifically, greenspace exposure—and individuals' happiness in contemporary urban China. For this study, the normalized difference vegetation index at the county level is a proxy for greenspace exposure. The results from the ordered logit model indicate that county‐level green vegetation is associated with individuals' happiness level, but such effects vary with a household's relative deprivation. While greenspace exposure is positively associated with happiness among individuals from less deprived families, it is negatively associated with happiness among those from deprived households. These findings contribute to the body of knowledge of the heterogeneous effect of greenspace on residents' subjective well‐being.

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Section: Analytical Strategymentioning

confidence: 99%

The greener, the happier? The effects of greenspace on residents' happiness in contemporary urban China

Zhang

et al. 2022

Journal Community Psychology

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“…Details about the formation and properties of robust likelihood function can be found in Royall and Tsou 8 and Tsou and Shen. 9…”

Section: Robust Likelihood Inference For κmentioning

confidence: 99%

A robust likelihood approach to inference about the kappa coefficient for correlated binary data

Tsou

2018

Stat Methods Med Res

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We construct a legitimate likelihood function for the agreement kappa coefficient for correlated data without specifically modelling all levels of correlation. This makes available the likelihood ratio test, the score test and other tools without the knowledge of the underlying distributions. This parametric robust likelihood approach applies to general clustered data scenarios. We provide simulations and real data analysis to demonstrate the advantage of the robust procedure.

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“…Details about the formation and properties of robust likelihood function can be found in Royall and Tsou, 6 and Tsou and Shen. 8…”

Section: The Working Model and The Construction Of Robust Likelihoomentioning

confidence: 99%

“…The variance of {∂l(θ,ν(θ))/∂θ}/N, namely, B (equation (2), p . 3553 in Tsou and Shen 8 ), then turns out to be Obviously, one can substitute θ^ and ν^ for their respective targeting parameters in A and B to acquire their consistent empirical versions A^ and B^, with other unknown probabilities replaced, respectively, by p^1=∑i=1 Nδi1/N, p^2=∑i=1 Nδi2/N, p^12=∑i=1…”

Section: The Working Model and The Construction Of Robust Likelihoomentioning

confidence: 99%

A new likelihood approach to inference about predictive values of diagnostic tests in paired designs

Tsou

2016

Stat Methods Med Res

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Intuitively, one only needs patients with two positive screening test results for positive predictive values comparison, and those with two negative screening test results for contrasting negative predictive values. Nevertheless, current existing methods rely on the multinomial model that includes superfluous parameters unnecessary for specific comparisons. This practice results in complex statistics formulas. We introduce a novel likelihood approach that fits the intuition by including a minimum number of parameters of interest in paired designs. It is demonstrated that our robust score test statistic is identical to a newly proposed weighted generalized score test statistic. Simulations and real data analysis are used for illustration.

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Parametric robust inferences for correlated ordinal data

Cited by 5 publications

References 12 publications

The greener, the happier? The effects of greenspace on residents' happiness in contemporary urban China

The greener, the happier? The effects of greenspace on residents' happiness in contemporary urban China

A robust likelihood approach to inference about the kappa coefficient for correlated binary data

A new likelihood approach to inference about predictive values of diagnostic tests in paired designs

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