Description Usage Arguments Details Value Note Author(s) See Also Examples

These functions use the beta distribution to provide the R Squared distribution.

1 2 3 4 |

`x, q` |
Vector of quantiles, or, in other words, the value(s) of R Squared. |

`p` |
Vector of probabilites ( |

`nPredictors` |
The number of predictors. |

`sampleSize` |
The sample size. |

`n` |
The number of R Squared values to generate. |

`populationRsq` |
The value of R Squared in the population; this determines the center of the R Squared distribution. This has not been implemented yet in this version of |

`lower.tail` |
logical; if TRUE (default), probabilities are the likelihood of finding an R Squared smaller than the specified value; otherwise, the likelihood of finding an R Squared larger than the specified value. |

The functions use `convert.omegasq.to.f`

and `convert.f.to.omegasq`

to provide the Omega Squared distribution.

`dRsq`

gives the density, `pRsq`

gives the distribution function, `qRsq`

gives the quantile function, and `rRsq`

generates random deviates.

These functions are based on the Stack Exchange (Cross Validated) post at http://stats.stackexchange.com/questions/130069/what-is-the-distribution-of-r2-in-linear-regression-under-the-null-hypothesis. Thus, the credits go to Alecos Papadopoulos, who provided the answer that was used to write these functions.

Gjalt-Jorn Peters (based on a CrossValidated answer by Alecos Papadopoulos)

Maintainer: Gjalt-Jorn Peters <[email protected]>

1 2 3 4 5 6 7 8 9 10 11 | ```
### Generate 10 random R Squared values
### with 2 predictors and 100 participants
rRsq(10, 2, 100);
### Probability of finding an R Squared of
### .15 with 4 predictors and 100 participants
pRsq(.15, 4, 100, lower.tail = FALSE);
### Probability of finding an R Squared of
### .15 with 15 predictors and 100 participants
pRsq(.15, 15, 100, lower.tail=FALSE);
``` |

userfriendlyscience documentation built on Sept. 25, 2018, 9:05 a.m.

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