James test for testing the equality of two population mean vectors without assuming equality of the covariance matrices.

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`y1` |
A matrix containing the Euclidean data of the first group. |

`y2` |
A matrix containing the Euclidean data of the second group. |

`a` |
The significance level, set to 0.05 by default. |

`R` |
If R is 1 no bootstrap calibration is performed and the classical p-value via the F distribution is returned. If R is greater than 1, the bootstrap p-value is returned. |

`graph` |
A boolean variable which is taken into consideration only when bootstrap calibration is performed. IF TRUE the histogram of the bootstrap test statistic values is plotted. |

Multivariate analysis of variance without assuming equality of the covariance matrices. The p-value can be calculated either asymptotically or via bootstrap. The James test (1954) or a modification proposed by Krishnamoorthy and Yanping (2006) is implemented. The James test uses a corected chi-square distribution, whereas the modified version uses an F distribution.

A list including:

`note` |
A message informing the user about the test used. |

`mesoi` |
The two mean vectors. |

`info` |
The test statistic, the p-value, the correction factor and the corrected critical value of the chi-square distribution if the James test has been used or, the test statistic, the p-value, the critical value and the degrees of freedom (numerator and denominator) of the F distribution if the modified James test has been used. |

`pvalue` |
The bootstrap p-value if bootstrap is employed. |

`runtime` |
The runtime of the bootstrap calibration. |

Michail Tsagris

R implementation and documentation: Michail Tsagris <mtsagris@yahoo.gr> and Giorgos Athineou <athineou@csd.uoc.gr>

G.S. James (1954). Tests of Linear Hypothese in Univariate and Multivariate Analysis when the Ratios of the Population Variances are Unknown. Biometrika, 41(1/2): 19-43

Krishnamoorthy K. and Yanping Xia. On Selecting Tests for Equality of Two Normal Mean Vectors (2006). Multivariate Behavioral Research 41(4): 533-548

```
hotel2T2, maovjames, el, comp.test
```

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