2. Single-entry analysis of variance

2.1 Observations

We isolate a factor A, the one we're going to try and decide on –, and call it a controlled factor –. All other factors are discarded from the "package" of uncontrolled factors. These include both those we don't know and those we do know, but for which we don't propose to make a decision at this stage.

A _i is the level i of the controlled factor. There are k levels of the controlled factor A; for level i, n _i measurement results are available.

Each individual measurement result is denoted by x _{i j} . The first index, i , identifies the level of the controlled factor. The second index,...