Last Modified: January 12, 2018

Tests hypotheses about the mean of the differences between two dependent populations. The distributions of the differences are at least approximately normal but the variances of the differences are unknown.

Sampled data from population *x*.

Sampled data from population *y*.

Hypothetical mean of the differences between **sample set x** and **sample set y**.

**Default: **0

Probability that this node incorrectly rejects a true null hypothesis.

**Default: **0.05

Error conditions that occur before this node runs.

The node responds to this input according to standard error behavior.

Standard Error Behavior

Many nodes provide an **error in** input and an **error out** output so that the node can respond to and communicate errors that occur while code is running. The value of **error in** specifies whether an error occurred before the node runs. Most nodes respond to values of **error in** in a standard, predictable way.

**Default: **No error

Hypothesis to accept if this node rejects the null hypothesis that the two populations have a common mean.

If the null hypothesis is true, the mean of the differences between **sample set x** and **sample set y** is zero.

Name | Value | Description |
---|---|---|

mean(x - y) != delta | 0 | The mean of the differences between population x and population y is not equal to delta. |

mean(x - y) > delta | 1 | The mean of the differences between population x and population y is greater than delta. |

mean(x - y) < delta | -1 | The mean of the differences between population x and population y is less than delta. |

**Default: **mean(x) - mean(y) != delta

A Boolean that indicates whether this node rejects the null hypothesis.

True | p value is less than or equal to significance level. This node rejects the null hypothesis and accepts the alternative hypothesis. |

False | p value is greater than significance level. This node accepts the null hypothesis and rejects the alternative hypothesis. |

Smallest significance level that leads to rejection of the null hypothesis based on the sample sets.

Lower and upper limits for the difference between the means of two populations. **confidence interval** indicates the uncertainty in the estimate of the true difference of means.

Lower limit of the estimate of the difference between the means of two populations.

Upper limit of the estimate of the difference between the means of two populations.

Sample statistics of the Student's t test.

Mean of the differences between **sample set x** and **sample set y**.

Standard deviation of the differences between **sample set x** and **sample set y**.

Standard error of the differences between **sample set x** and **sample set y**.

Degree of freedom of the Student's t distribution that the test statistic follows.

Sample test statistic used in the Student's t test.

**sample t value** is equal to
$\frac{(\mathrm{sample\; mean\; of\; the\; differences}\text{\hspace{0.17em}}-\text{\hspace{0.17em}}\mathrm{delta})}{\mathrm{sample\; standard\; error\; of\; the\; differences}}$.

Student's t value that corresponds to **significance level** and **alternative hypothesis**.

Algorithm for Calculating **t critical value**

Let *T*_{n} represent a student's t distributed variate with *n* degrees of freedom. **t critical value** satisfies the following equations based on the value of **alternative hypothesis**.

alternative hypothesis |
t critical value |
---|---|

mean(x - y) != delta | Prob{T_{n} > t critical value} = significance level / 2 |

mean(x - y) > delta | Prob{T_{n} > t critical value} = significance level |

mean(x - y) < delta | Prob{T_{n} > t critical value} = significance level |

Error information.

The node produces this output according to standard error behavior.

Standard Error Behavior

**error in** input and an **error out** output so that the node can respond to and communicate errors that occur while code is running. The value of **error in** specifies whether an error occurred before the node runs. Most nodes respond to values of **error in** in a standard, predictable way.

**Where This Node Can Run: **

Desktop OS: Windows

FPGA: Not supported

Web Server: Not supported in VIs that run in a web application