This function performs the Bartels test for randomness which is
based on the ranked version of von Neumann's ratio (RVN). Users can
choose whether to test against two-sided, negative or positive
correlation. `NA`

s from the data are omitted.

1 2 | ```
bartels.test(y, alternative = c("two.sided", "positive.correlated",
"negative.correlated"))
``` |

`y` |
a numeric vector of data values. |

`alternative` |
a character string specifying the alternative hypothesis,
must be one of |

A list with the following components.

`statistic` |
the value of the standardized Bartels statistic. |

`parameter` |
RVN ratio. |

`p.value` |
the |

`data.name` |
a character string giving the names of the data. |

`alternative` |
a character string describing the alternative hypothesis. |

Kimihiro Noguchi, Wallace Hui, Yulia R. Gel, Joseph L. Gastwirth, Weiwen Miao

Bartels, R. (1982). The rank version of von Neumann's ratio test for randomness.
*Journal of the American Statistical Association* 77: 40–46.

1 2 3 4 5 6 7 8 9 10 11 12 13 | ```
## Simulate 100 observations from an autoregressive model of
## the first order AR(1)
y = arima.sim(n = 100, list(ar = c(0.5)))
## Test y for randomness
bartels.test(y)
## Sample Output
##
## Bartels Test - Two sided
## data: y
## Standardized Bartels Statistic -4.4929, RVN Ratio =
## 1.101, p-value = 7.024e-06
``` |

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