Root mean square predictive differences (RMSPD) of several cell prediction models: Cornelius (1993) and Cornelius and Crossa (1995) (shrunken CCC model), shrunken eigenvalue partition (EVP) model, best linear unbiased predictor (BLUP), and best truncated additive multiplicative model
interaction (AMMI) model, and the ratio of Genotype 3environment variance ([[sigma].
Results and biological interpretation of shifted multiplicative model
clustering of durum wheat cultivars and testing sites.
On the other hand, distance between two environments in the CC approach is the lack of fit of the genotypic means in those environments to a multiplicative model
Another multiplicative model
, the Shifted Multiplicative Model
(SHMM) (Seyedsadr and Cornelius, 1992) is useful for studying crossover GEI (Crossa et al.
Genotype x environment interaction for grain yield was first analyzed according to a classical multiplicative model
or AMMI (Gollob, 1968; Mandel, 1971; Gauch, 1992) with three multiplicative terms.
Two types of linear-bilinear models are suitable for grouping sites and cultivars without cultivar rank change: the shifted multiplicative model
These are the shifted multiplicative model
(SHMM) in which [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
The multiplicative model
forms AMMI (Additive Main effects and Multiplicative Interactions), GREG (Genotypes Regression), SREG (Sites Regression), SHMM (Shifted Multiplicative), and COMM (Completely Multiplicative) all include a sum of multiplicative terms [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] but differ with respect to which additive components in Eq.
To obtain a multiplicative model
for the odds, exponentiating the previous equation and solving for the probability g in the logit model will give rise to the final formula:
Judging criteria 2 were: OR [sub]eg = OR [sub]e x OR [sub]g for the multiplicative model
, OR [sub]eg > OR [sub]e x OR [sub]g for the super-multiplicative model
, OR [sub]eg < OR [sub]e x OR [sub]g for the sub-multiplicative model
, and OR [sub]eg = OR [sub]e + OR [sub]g − 1 for the additive model.
In this work, we experiment with additive ([MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]), weighted additive ([MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]), and the multiplicative model
([MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]), where z stands for the composed vector and [?
: the multiplicative model
applies multiplicative weights to the dimensions of benefit from health care interventions.