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# Paired t-test

Calculates the paired t-Test of two data samples.

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A paired t-test is any statistical hypothesis test that follows a Student's t distribution.

For more information on paired t-tests, refer to the corresponding Wikipedia article.

## Data

Variable 1 range: The reference of the range of the first data series to analyze.

Variable 2 range: The reference of the range of the second data series to analyze.

Results to: The reference of the top left cell of the range where the test will be displayed.

#### Grouped By

Select whether the input data has columns or rows layout.

#### Example

The following table has two data sets.

| A | B
1 | 28 | 19
2 | 26 | 13
3 | 31 | 12
4 | 23 | 5
5 | 20 | 34
6 | 27 | 31
7 | 28 | 31
8 | 14 | 12
9 | 4 | 24
10 | 0 | 23
11 | 2 | 19
12 | 8 | 10
13 | 9 | 33

## Results for paired t-test:

The following table shows the paired t-test for the data series above:

paired t-test |  |
Alpha | 0.05 |
Hypothesized Mean Difference | 0 |
| Variable 1 | Variable 2
Mean | 16.9230769231 | 20.4615384615
Variance | 125.0769230769 | 94.4358974359
Observations | 13 | 13
Pearson Correlation | -0.0617539772 |
Observed Mean Difference | -3.5384615385 |
Variance of the Differences | 232.9358974359 |
df | 12 |
t Stat | -0.8359262137 |
P (T<=t) one-tail | 0.2097651442 |
t Critical one-tail | 1.7822875556 |
P (T<=t) two-tail | 0.4195302884 |
t Critical two-tail | 2.1788128297 |

相關主題

Sampling

Descriptive Statistics

Analysis of Variance (ANOVA)

Correlation

Covariance

Exponential Smoothing

Moving Average

Regression Analysis

Paired t-test

F-test

Z-test

Chi-square test

Fourier Analysis