The best-supported model in this set of candidate models included maximum temperature and an interaction between relative humidity and treatment (Table 1a).
Interestingly, a model including maximum daily duration of vitamin D synthesis with season and latitude did not explain much more of the variation of serum 25(OH D (17.1%) than a model including season and latitude alone (16.5%).
We discuss various approaches to the estimation of seasonal intensity assuming Edwards's periodic model, including maximum likelihood estimation (MLE), least squares, weighted least squares, and a new closed-form estimator based on a second-order moment statistic and non-transformed data.
Methods for fitting the multivariate random effects model include maximum likelihood, restricted maximum likelihood, Bayesian estimation and multivariate generalisations of the standard univariate method of moments.
Summary statistics of genetic distances using a Kimura 2-parameter (K2P) model include: maximum genetic distance (max), mean interspecific distance (mean) with standard deviation (SD), and the proportion of comparisons of genetic distances greater than 1% (>1%) and greater than 2% (>2%).
Comparing to six multiaxial fatigue models, including the maximum effective strain model, the maximum shear strain model, the Fatemi-Socie (FS) model, the Smith-Watson-Topper (SWT) model, the Itoh model and the ZWW model, the predicted multiaxial fatigue lives of FGH96 by the modified ZWW model based on the effect of the stress gradient agreed better with the experimental results.
Comparing to five classic multiaxial fatigue models, including the maximum effective strain model, the maximum shear strain model, the Fatemi-Socie (FS) model, the Smith-Watson-Topper (SWT) model and Itoh model, the predicted multiaxial fatigue lives of three metallic materials using the proposed model agreed better with the experimental results.
A multivariable hierarchical logistic regression model was then fitted (without including maximum and average temperatures due to collinearity with minimum temperature).
Probabilistic strategies which model the signal and noise statistically, including maximum a posteriori and maximum entropy [11, 12] schemes have also been developed, yielding good performance.
Their model minimizes the expected total cost including maximum tardiness cost among all parts, the cost of sub-contracting for exceptional elements, and the cost of resource underutilization.
