anova_lsd(A, B, C,..., alpha)
Fisher's Least Significant Difference test for k means using significance level alpha.
See also anova_welch anova_snk anova_scheffe 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_lsd(A, B, C, D, 0.05)
ANOVA LSD 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 | 0.03206 | 0.11416 | 2.23584 |
| 1 3 | -0.30833 | 0.48153 | 0.53103 | -1.32913 | 0.71246 |
| 1 4 | -1.24500 | 0.50042 | 0.02426 | -2.30584 | -0.18416 |
| 2 3 | -1.48333 | 0.45171 | 0.00468 | -2.44093 | -0.52574 |
| 2 4 | -2.42000 | 0.47180 | 0.00010 | -3.42017 | -1.41983 |
| 3 4 | -0.93667 | 0.45171 | 0.05462 | -1.89426 | 0.02093 |
+-------+------------------+------------------+---------+------------------+------------------+