The magnitude of NSE is computed using the formula below: $$NSE=1-\frac{\sum_{i=1}^{n}{\left({X}_{oi}-{X}_{mi}\right)}^{2}}{\sum_{i=1}^{n}{\left({X}_{oi}-{\overline{X}}_{mi}\right)}^{2}}$$ (1) The magnitude of R2 is calculated using the following equati...
As earlier stated, the multicollinearity influences the performance of the maximum likelihood estimator (MLE) in both the linear regression models and the Poisson regression models (PRM). The ridge regression and Liu estimator at a different time were harmonized to the PRM to solve multicollinearity....
Binomial logistic regression assumes a logistic distribution of the data, where the probability that an example belongs to class 1 is the formula:p(x;β0,…, βD-1)Where:x is a D-dimensional vector containing the values of all the features of the instance. p is the logistic distribution ...
(seehttps://mc-stan.org/). The formula syntax is very similar to that of the package lme4 to provide a familiar and simple interface for performing regression analyses. A wide range of response distributions are supported, allowing users to fit – among others – linear, robust linear, ...
And the formula of prediction interval coverage probability could be calculated:(1)PICP=∑i=1Nci/N,ci={1,ti∈[Lowi,Uppi]0,ti∉[Lowi,Uppi]where N is the sample number in the test set, ti is the observation, Lowi and Uppi are two bands of the ith prediction interval. The ...
Finally, multilevel logistic regression is becoming relatively well-known among researchers, but there are other multilevel generalized linear models (such as Poisson regression or Negative Binomial regression) which have received far less attention with regards to the power to detect their effects and...
Physically sound formula for longitudinal dispersion coefficients of natural rivers. J. Hydrol. 544, 511-523 [55] Wen, B.P., Aydin, A., Duzgoren-Aydin, N.S., Li, Y.R., Chen, H.Y., Xiao, S.D., 2007. Residual strength of slip zones of large landslides in the Three Gorges ...
In literature, some traditional linear regression analysis methods, known as the VECM and the IS model, have been widely applied to investigate the casual relation between two time series. Supposing there arencointegratedI(1) price series, denoted as\(P_{it}\)(\(i=1,2,\ldots ,n\)). Th...
We may estimate Sharpley value of the above model in a computationally efficient way by Deep SHAP35 with the following recursive formula: $${\phi }_{q,r}\left({f}^{\left(l-1\right)}\circ {f}^{\left(l\right)}{,\,{{{\bf{e}}}^{\left(l-1\right)}\right)=\left({{{e}}...
8b), and we used a UoSS linear regression model to fit all components to tissue MSI data while forcing model weights to be non-negative (Methods). The weights could then be interpreted as the cell-type-specific contributions and yielded deconvolved cellular features at every tissue pixel (Fig...