Analysis of variance (ANOVA) detects statistical differences among different groups.

**N-Way ANOVA**: Whether to perform One-Way ANOVA or Two-Way ANOVA.**Outcome**: The outcome is the dependent variable.**Treatment(s)**: Categorical variable representing the groups for the outcome.**Filters**: Set conditions on columns to filter on the original dataset. If selected, only a subset of the original data would be used in the analytics.

Imagine we are working on tumors and would like to know if a tumor is begnign or malign. An example of the dataset could be:

ID | Diagnosis | radius | texture | perimeter |

842302 | M | 17.99 | 10.38 | 122.8 |

842517 | M | 20.57 | 17.77 | 132.9 |

84300903 | M | 19.69 | 21.25 | 130.0 |

8510426 | B | 13.54 | 14.36 | 87.46 |

8510653 | B | 13.08 | 15.71 | 85.63 |

8510824 | B | 9.504 | 12.44 | 60.34 |

We would like to have an analysis of variance of the radius with the different diagnosis groups.

We setup our parameters like this :

The result view contains a **Box Plot** tab, an **ANOVA Table** tab, a **Tukey’s Test** tab, a **Diagnostics** tab and a **Table** tab.

The **BoxPlot** tab shows the distribution of the radius grouped by the diagnosis.

The **ANOVA Table** tab shows the results of the ANOVA analysis.

The **Tukey’s Test** tab shows the results of the Tukey’s Test analysis.

The **Diagnostics** tab is composed of multiple tabs:

- The
**Q-Q Plot**tab shows the Q-Q plot of the ANOVA analysis. The Q-Q plot is a graphical representation of the quantiles of the data. The X-axis is a normal distribution and the Y-axis is the quantiles of the data.

- The
**Residual Plot**tab shows the residuals of the ANOVA analysis. The residuals are the difference between the data and the fitted values. If the residuals are not randomly distributed, then a linear regression model is appropriate for the data.

- The
**Shapiro Wilk**tab shows the results of the Shapiro-Wilk test. The Shapiro-Wilk test is a non-parametric test for normality. The Shapiro-Wilk test is a statistical test for the null hypothesis that the data is normally distributed.

- The
**Bartlett**and**Levene**tab are statistical tests that are used to determine whether or not the variances between the different groups are equal.