Statistics Dictionary

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One-way analysis of variance is a statistical technique for comparing mean scores in different treatment groups. The technique tests a null hypothesis, which states that treatment means are equal across groups.

One-way analysis of variance should only be used with one type of experimental design - a completely randomized design with one factor (also known as a single-factor, independent groups design). This design is distinguished by the following attributes:

  • The design has one, and only one, factor (i.e., one independent variable) with two or more levels.
  • Treatment groups are defined by a unique combination of non-overlapping factor levels.
  • The design has k treatment groups, where k is greater than one.
  • Experimental units are randomly selected from a known population.
  • Each experimental unit is randomly assigned to one, and only one, treatment group.
  • Each experimental unit provides one dependent variable score.
See also:  One-Way Analysis of Variance