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Table 1 Summary of outcome types and corresponding PLSI models and parametric models

From: A family of partial-linear single-index models for analyzing complex environmental exposures with continuous, categorical, time-to-event, and longitudinal health outcomes

Outcome type

PLSI models

Counterpart models

Key references

Equation

Continuous

PLSI linear regression

Linear regression

[18, 21, 22, 32,33,34,35,36,37,38]

(1)

PLSI quantile regression

Quantile regression

[39,40,41,42,43,44]

(2)

Categorical (binary)

PLSI generalized linear (logistic) regression

Generalized linear (logistic) regression

[18, 22, 36, 38]

(3)

Time-to-event

PLSI PH model

Cox PH model

[24,25,26,27]

(4)

Longitudinal

PLSI mixed-effects model

Linear mixed-effects model

[28, 29, 45,46,47]

(5)

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Environmental Health

ISSN: 1476-069X