ANOVA guide

Analysis of variance is one of the most widely used statistical techniques, with application areas that include biology, medicine, industry and finance.

We have a number of tutorial videos that demonstrate how to perform ANOVA in Genstat.

Genstat has a very powerful set of ANOVA techniques, that are nevertheless very straightforward and easy to use. This book is designed to introduce you to these techniques, and give you the underlying knowledge and confidence to use them correctly and effectively. It also covers the basic principles of experimental design to help you plan effective experiments and investigations. It was written to provide the notes for VSN’s course on anova and design in Genstat, but it can be used equally well as a self-learning tool. Starting with the simplest situation, where two different treatments are compared by the standard t-test, straightforward examples will be used to introduce the following concepts.

  • Analysis: covering simple to sophisticated situations, explaining ideas such as balance, and introducing advanced features like the use of REML for unbalanced designs.
  • Interpretation: explaining the results, producing relevant tables, graphs and figures for publication in reports and papers.
  • Design: a range of experimental designs will be described, to cover the situations encountered by most Genstat users.
  • Blocking: how to increase the accuracy of an experiment by forming the basic units (e.g. plots or subjects) into groups with similar properties.
  • Randomization: how to avoid bias in the allocation of units to treatments, so that you can ensure that your results are reliable and unaffected by any systematic patterns in the units.
  • Replication: determining how many replicates you need.
  • Treatments: comparing several types of treatment in the same experiment.
  • Covariates: to improve precision by using additional background information about the experimental units, that was not used for blocking.