Hofner et al. (2011) presented a structured additive regression model for ordered categorical data of the breeding distribution of Red Kite that employs monotonic penalized splines.
Specifically, the polytomous Rasch measurement model for ordered response categories does not assume equal intervals between response categories, tests whether thresholds between adjacent categories are ordered in the expected manner, and provides a means of exploring the effect of collapsing adjacent categories [ 19, 41, 43, 44].
Further, to investigate the effects of different sub-orders on total system order and the impact of ordering cost on supply chain economic performance, sensitivity analysis models for order fluctuations and ordering cost changes are developed respectively.
Models for ordered categorical data (grades 0, 1, 2, and ≥ 3) with a first-order Markov model were applied.
Similar to models for ordered categorical data and the ACR20 Markov model, the parameters of the continuous Markov model may be difficult to interpret directly, and their clinical relevance is most easily interpreted through simulations from the model.
Secondary outcomes were analysed using Cox regression models (for time to event outcomes); linear regression models for dermatology life quality index, EQ-5D, and EQ-VAS (adjusted for baseline values), and for self reported pain (which were summarised using area under the curve); proportional odds models for ordered categorical outcomes; and logistic regression models for binary outcomes.
For abattoir and database data, the effect of breed on individual cow data (age, carcass conformation score, fatness score and body weight) was fitted with linear regression models for continuous data, and with ordinal logistic regression models for ordered categorical data (carcass conformation score and fatness score).
c A model for the order of the stacking layers.
We also proposed a model for the order of NBS-LRR gene duplications that includes recent duplication and tandem duplication events.
Parlar and Goyal (1984) developed the similar model for optimal ordering decisions for stochastic demands.
