Difference Between One Way Anova and Two Way Anova

Homogeneity is the basic requirement for formulating theories using one way anova. Tabular versions of data analysis are most reliable for analyzing the scope of one way anova.

Two Way Anova helps in determining if the initial two independent variables integrate for impacting the response variable. The effect of a single variable is not enough.

Comparison Table Between One Way Anova And Two Way Anova

Parameters of ComparisonOne Way AnovaTwo Way Anova
DefinitionOne Way Anova studies the impact of a single factor on a particular response variable. Two Way Anova studies the impact of the interaction of two factors on an unknown response variable.
Nature of DependenceContinuous dependence is the essential element of one-way anova. The dependence of multiple factors is the main point of contention for this type of methodology.
Hypothesis TestsThe number of hypothesis tests cannot be determined. At least three hypothesis tests are included in the two-way anova.
Number of Dependent Variables IncludedOne dependent variable is included in One Way Anova.A combination of dependent variables is included in Two Way Anova.
Interpretation of ResultsIt uses different tests on a single variable for a wider range. It tests all the variables using the same test in order to achieve accuracy in results.

What is One Way Anova?

One Way Anova is a statistical technique that works on the concept of continuous dependence. Even though a single variable is used, all the aspects that can be affected by it are correlated for preparing the final hypothesis.

The former establishes that the means are equal and no difference exists between the groups while the latter helps establish the least probable difference between them.

One Way Anova is mostly used to study population by making use of variance on three equal terms. A dependent factor and an independent factor help in satisfying any two principles of experiment design.

What is Two Way Anova?

Two Way Anova implies the concurrent study of two unrelated factors for ascertaining the individual impact on the dependent variable. Only two factors are used in this method but the dependence is based on multiple related factors.

Two Way Anova needs to satisfy a minimum of three principles as per the experiment design. Independent sampling is one of the most essential aspects of this statistical analysis. It is also known as a hypothesis-based test.

The subdivision of dependent variables helps the researcher in drawing out a clear conclusion. On the other hand, the independent variables are never assumed to be constant in any case.

Main Differences Between One Way Anova And Two Way Anova

  1. The number of dependent variables included in one way anova is one while two way anova has combination of dependent variables.
  2. Numerous tests can be conducted on a single variable in one way anova. On the contrary, a single test is conducted on all types of variables in two way anova.


It all begins with preparing a hypothesis. Further, the literature review has its importance in the field of scientific research work. Once the draft is ready, numerous strategies can be applied for formulating the final thesis.

All the analytical components are combined and the conclusion is inclusive of all the toll taken by the researcher.


  1. https://www.ine.pt/revstat/autores/pdf/REVSTAT_v16-n3-2.pdf
  2. https://link.springer.com/article/10.1186/s40064-015-0795-z
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