dot-slopesprime: Regression Standardized Slopes \boldsymbol{beta}_{2, \cdots,...

Description Usage Arguments Details Value Author(s) See Also

Description

Derives the standardized slopes \boldsymbol{β}_{2, \cdots, k}^{\prime} of a linear regression model as a function of correlations.

Usage

1
.slopesprime(RX = NULL, ryX = NULL, X, y)

Arguments

RX

p by p numeric matrix. p \times p matrix of correlations between the regressor variables X_2, X_3, \cdots, X_k ≤ft( \mathbf{R}_{\mathbf{X}} \right).

ryX

Numeric vector of length p or p by 1 matrix. p \times 1 vector of correlations between the regressand variable y and the regressor variables X_2, X_3, \cdots, X_k ≤ft( \mathbf{r}_{\mathbf{y}, \mathbf{X}} = ≤ft\{ r_{y, X_2}, r_{y, X_3}, \cdots, r_{y, X_k} \right\}^{T} \right).

X

n by k numeric matrix. The data matrix \mathbf{X} (also known as design matrix, model matrix or regressor matrix) is an n \times k matrix of n observations of k regressors, which includes a regressor whose value is 1 for each observation on the first column.

y

Numeric vector of length n or n by 1 matrix. The vector \mathbf{y} is an n \times 1 vector of observations on the regressand variable.

Details

The linear regression standardized slopes are calculated using

\boldsymbol{β}_{2, \cdots, k}^{\prime} = \mathbf{R}_{\mathbf{X}}^{T} \mathbf{r}_{\mathbf{y}, \mathbf{X}}

where

Value

Returns the standardized slopes \boldsymbol{β}_{2, \cdots, k}^{\prime} of a linear regression model derived from the correlation matrix.

Author(s)

Ivan Jacob Agaloos Pesigan

See Also

Other parameter functions: .intercept(), .slopes(), intercept(), sigma2epsilon(), slopesprime(), slopes()


jeksterslabds/jeksterslabRlinreg documentation built on Jan. 7, 2021, 8:30 a.m.