One-Way ANOVA

Graphs - Boxplots of Data

  

Boxplots, also called box-and-whiskers plots, illustrate the following properties of the data for each level:

·    Shape. The box represents the middle 50% of the data. The line through the box represents the median. The lines (whiskers) extending from the box represent the upper and lower 25% of the data (excluding outliers). Outliers are represented by asterisks (*).

·    Means. The symbol on each plot represents the mean of the sample.

Note

Boxplots tend to be most useful when there are many observations in a data set.

Example Output

image\aov1_2n.gif

Interpretation

The boxplots of the paint hardness data illustrate the following:

·    Blend 4 has the largest hardness values, the largest mean, and the largest median.

·    Blend 2 has the smallest values, the smallest mean, and the smallest median.

·    The middle half of the data for Blend 2 is very spread out, as indicated by the large box.

·    Blend 2 also has the largest overall range of values, as indicated by the ends of the whiskers.

·    There are no outliers (asterisks) in the data for any level.

In this example there are just six observations per level, so an individual value plot will probably be more useful than a boxplot.