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

`multreg`

conducts a multiple regression analysis using individual data.

1 |

`formula` |
two-sided formula; the left-hand-side of which gives one dependent variable containing a numeric variable, and the right-hand-side of several independent variables containing a numeric variable |

`data` |
a data frame contains the variables in the |

`sig.level` |
a numeric contains the significance level (default 0.05) |

`digits` |
the specified number of decimal places (default 3) |

This function conducts a multiple regression analysis using individual data. The dependent variable and independent variables should be a numeric vector. In this function, you cannot specify any interaction nor any curvilinear effect. Statistical power is calculated using the following specifications:

(a) small (*R^{2} = 0.02*), medium (*R^{2} = 0.13*), and large (*R^{2} = 0.26*) population effect sizes,
according to the interpretive guideline for effect sizes by Cohen (1992)

(b) sample size specified by `data`

(c) significance level specified by `sig.level`

(d) numbers of independent variable specified by `formula`

`samp.stat` |
returns the means and unbiased standard deviations |

`corr.partial.corr` |
returns a product-moment correlation matrix (lower triangle) and a partial correlation matrix given all remaining variables (upper triangle) |

`corr.confidence` |
returns lower and upper confidence limits (lower and upper triangles, respectively) |

`omnibus.es` |
returns a coefficient of determination and its' confidence interval |

`raw.estimates` |
returns partial regression coefficients, their confidence intervals, and standard errors |

`standardized.estimates` |
returns standardized partial regression coefficients, their confidence intervals, and standard errors |

`power` |
returns statistical power for detecting small ( |

Yasuyuki Okumura

Department of Social Psychiatry,

National Institute of Mental Health,

National Center of Neurology and Psychiatry

yokumura@blue.zero.jp

Cohen J (1992) A power primer. Psychological Bulletin, 112, 155-159.

Cohen J, Cohen P, Aiken LS (2003) Applied multiple regression/correlation analysis for the behavioral sciences (3rd ed). Mahwah, NJ: Erlbaum.

Smithson M (2001) Correct confidence intervals for various regression effect sizes and parameters: The importance of noncentral distributions in computing intervals, 61, 605-632.

`multreg.second`

, `samplesize.rsq`

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 | ```
##Cohen (2003) Table 3.5.1
dat <- data.frame(
salary = c(51876, 54511, 53425, 61863, 52926, 47034, 66432, 61100, 41934,
47454, 49832, 47047, 39115, 59677, 61458, 54528, 60327, 56600,
52542, 50455, 51647, 62895, 53740, 75822, 56596, 55682, 62091,
42162, 52646, 74199, 50729, 70011, 37939, 39652, 68987, 55579,
54671, 57704, 44045, 51122, 47082, 60009, 58632, 38340, 71219,
53712, 54782, 83503, 47212, 52840, 53650, 50931, 66784, 49751,
74343, 57710, 52676, 41195, 45662, 47606, 44301, 58582),
pubs = c(18, 3, 2, 17, 11, 6, 38, 48, 9, 22, 30, 21,
10, 27, 37, 8, 13, 6, 12, 29, 29, 7, 6, 69, 11, 9,
20, 41, 3, 27, 14, 23, 1, 7, 19, 11, 31, 9, 12, 32,
26, 12, 9, 6, 39, 16, 12, 50, 18, 16, 5, 20, 50,
6, 19, 11, 13, 3, 8, 11, 25, 4),
cits = c(50, 26, 50, 34, 41, 37, 48, 56, 19, 29,
28, 31, 25, 40, 61, 32, 36, 69, 47, 29, 35,
35, 18, 90, 60, 30, 27, 35, 14, 56, 50, 25,
35, 1, 69, 69, 27, 50, 32, 33, 45, 54, 47, 29,
69, 47, 43, 55, 33, 28, 42, 24, 31, 27,
83, 49, 14, 36, 34, 70, 27, 28)
)
multreg(salary~ pubs + cits, data=dat)
``` |

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