See also anova_welch anova_snk anova_lsd anova_duncan 

Example

A=(14.5, 13.4, 14.1, 15.1)

( 14.5 13.4 14.1 15.1 )

B=(13.2, 12.7, 12.6, 13.9, 13.1)

( 13.2 12.7 12.6 13.9 13.1 )

C=(14.8, 15.2, 14.4, 13.3, 15, 14.8)

( 14.8 15.2 14.4 13.3 15 14.8 )

D=(16.1, 16.2, 14.7, 16.4, 14.2)

( 16.1 16.2 14.7 16.4 14.2 )

anova_scheffe(A, B, C, D, 0.05)

ANOVA Scheffe multiple comparison test

Confidence interval for the difference of k population means.

Independent and samples. Normal populations with equal std.

Number of populations k: 4

Confidence level : 0.05 (5.0%)

Results:

+-------+------------------+------------------+---------+-------------------------------------+

|       |                  |                  |         |     95% Confidence interval         |

|       |                  |                  |         +------------------+------------------+

|       | Mean difference  |    Std. Error    |   Sig   |    lower bound   |   upper bound    |

+-------+------------------+------------------+---------+------------------+------------------+

|  1  2 |          1.17500 |          0.50042 | 0.18096 |         -0.38488 |          2.73488 |

|  1  3 |         -0.30833 |          0.48153 | 0.93668 |         -1.80933 |          1.19267 |

|  1  4 |         -1.24500 |          0.50042 | 0.14552 |         -2.80488 |          0.31488 |

|  2  3 |         -1.48333 |          0.45171 | 0.03701 |         -2.89140 |         -0.07527 |

|  2  4 |         -2.42000 |          0.47180 | 0.00114 |         -3.89067 |         -0.94933 |

|  3  4 |         -0.93667 |          0.45171 | 0.27002 |         -2.34473 |          0.47140 |

+-------+------------------+------------------+---------+------------------+------------------+