Bootstrap 2-sample mean test for (hyper-)spherical data | R Documentation |

Bootstrap 2-sample mean test for (hyper-)spherical data.

```
hcf.boot(x1, x2, fc = TRUE, B = 999)
lr.boot(x1, x2, B = 999)
hclr.boot(x1, x2, B = 999)
embed.boot(x1, x2, B = 999)
het.boot(x1, x2, B = 999)
```

`x1` |
A matrix with the data in Euclidean coordinates, i.e. unit vectors. |

`x2` |
A matrix with the data in Euclidean coordinates, i.e. unit vectors. |

`fc` |
A boolean that indicates whether a corrected F test should be used or not. |

`B` |
The number of bootstraps to perform. |

The high concentration (hcf.boot), log-likelihood ratio (lr.boot), high concentration log-likelihood ratio (hclr.boot), embedding approach (embed.boot) or the non equal concentration parameters approach (het.boot) is used.

This is an "htest"class object. Thus it returns a list including:

`statistic` |
The test statistic value. |

`parameter` |
The degrees of freedom of the test. Since these are bootstrap based tests this is "NA". |

`p.value` |
The p-value of the test. |

`alternative` |
A character with the alternative hypothesis. |

`method` |
A character with the test used. |

`data.name` |
A character vector with two elements. |

Michail Tsagris.

R implementation and documentation: Michail Tsagris mtsagris@uoc.gr.

Mardia K. V. and Jupp P. E. (2000). Directional statistics. Chicester: John Wiley & Sons.

Rumcheva P. and Presnell B. (2017). An improved test of equality of mean directions for the Langevin-von Mises-Fisher distribution. Australian & New Zealand Journal of Statistics, 59(1): 119–135.

Tsagris M. and Alenazi A. (2024). An investigation of hypothesis testing procedures for circular and spherical mean vectors. Communications in Statistics-Simulation and Computation, 53(3): 1387–1408.

```
hcf.aov, hcf.perm, hcfboot
```

```
x <- rvmf(60, rnorm(3), 15)
ina <- rep(1:2, each = 30)
x1 <- x[ina == 1, ]
x2 <- x[ina == 2, ]
hcf.boot(x1, x2)
lr.boot(x1, x2)
het.boot(x1, x2)
```

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