ss.aipe.reg.coef.sensitivity | R Documentation |

Performs a sensitivity analysis when planning sample size from the Accuracy in Parameter Estimation Perspective for the standardized or unstandardized regression coefficient.

```
ss.aipe.reg.coef.sensitivity(True.Var.Y = NULL, True.Cov.YX = NULL,
True.Cov.XX = NULL, Estimated.Var.Y = NULL, Estimated.Cov.YX = NULL,
Estimated.Cov.XX = NULL, Specified.N = NULL, which.predictor = 1,
w = NULL, Noncentral = FALSE, Standardize = FALSE, conf.level = 0.95,
degree.of.certainty = NULL, assurance=NULL, certainty=NULL,
G = 1000, print.iter = TRUE)
```

`True.Var.Y` |
Population variance of the dependent variable ( |

`True.Cov.YX` |
Population covariances vector between the |

`True.Cov.XX` |
Population covariance matrix of the |

`Estimated.Var.Y` |
Estimated variance of the dependent variable ( |

`Estimated.Cov.YX` |
Estimated covariances vector between the |

`Estimated.Cov.XX` |
Estimated Population covariance matrix of the |

`Specified.N` |
Directly specified sample size (instead of using |

`which.predictor` |
identifies which of the |

`w` |
desired confidence interval width for the regression coefficient of interest |

`Noncentral` |
specify with a |

`Standardize` |
specify with a |

`conf.level` |
desired level of confidence for the computed interval (i.e., 1 - the Type I error rate) |

`degree.of.certainty` |
degree of certainty that the obtained confidence interval will be sufficiently narrow |

`assurance` |
an alias for |

`certainty` |
an alias for |

`G` |
the number of generations/replication of the simulation student within the function |

`print.iter` |
specify with a |

Direct specification of `True.Rho.YX`

and `True.RHO.XX`

is necessary, even if one is interested in a single regression
coefficient, so that the covariance/correlation structure can be specified when the simulation student within the function runs.

`Results` |
a matrix containing the empirical results from each of the |

`Specifications` |
a list of the input specifications and the required sample size |

`Summary.of.Results` |
summary values for the results of the sensitivity analysis (simulation study) given the input specification |

Note that when `True.Rho.YX`

=`Estimated.Rho.YX`

and `True.RHO.XX`

=`Estimated.RHO.XX`

, the results are not
literally from a sensitivity analysis, rather the function performs a standard simulation study. A simulation study
can be helpful in order to determine if the sample size procedure under or overestimates necessary sample size.

Ken Kelley (University of Notre Dame; KKelley@ND.Edu)

Kelley, K. & Maxwell, S. E. (2003). Sample size for Multiple Regression: Obtaining regression coefficients that are accuracy, not simply significant. *Psychological Methods, 8*, 305–321.

`ss.aipe.reg.coef`

, `ci.reg.coef`

MBESS documentation built on Oct. 26, 2023, 9:07 a.m.

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