# Manuals/calci/TTESTUNEQUALVARIANCES

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**TTESTTWOSAMPLESUNEQUALVARIANCES(ar1,ar2,md,alpha,lv)**

- and are set of values.
- is the Hypothesized Mean Difference.
- is the significance level.
- is the logical value.

## Description

- This function calculating the two Sample for unequal variances determines whether two sample means also distinct.
- We can use this test when both:
- 1.the two sample sizes are may are may not be equal;
- 2. The means and variances are distinct .
- In , and are two arrays of sample values.
- is the Hypothesized Mean Difference. Suppose md = 0 which indicates that sample means are hypothesized to be equal.
- is the significance level which ranges from 0 to 1.
- is the logical value like TRUE or FALSE.
- TRUE is indicating the result will display in new worksheet.Suppose we are omitted the value it will consider the value as FALSE.
- The t-statistic of this function calculated by:

where

- Here and are unbiased estimators of the variances of two samples. and are the number of data points in two arrays. is not a pooled variance.
- This function will give the result as error when

1. any one of the argument is non-numeric. 2.alpha>1

## Examples

A | B | C | D | E | F | G | |
---|---|---|---|---|---|---|---|

1 | 12 | 21 | 9 | 18 | 27 | 37 | 41 |

2 | 19 | 8 | 45 | 29 | 14 | 10 | 11 |

- =TTESTTWOSAMPLESUNEQUALVARIANCES(A1:F1,A2:F2,3,0.5)

Variable 1 | Variable 2 | |
---|---|---|

Mean | 20.666666666666668 | 20.833333333333332 |

Variance | 105.06666666666665 | 196.56666666666666 |

Observations | 6 | 6 |

Hypothesized Mean Difference | 3 | |

Degree Of Freedom | 9 | |

T- Statistics | -0.4466201458140038 | |

P(T<=t) One-tail | 0.3328511748583461 | |

T Critical One-Tail | 0 | |

P(T<=t) Two-tail | 0.6657023497166922 | |

T Critical Two-Tail | 0.7027221467691982 |