Difference Between One Way Anova And Two Way Anova (With Table)

Various research methods are applied in analyzing the effect of reactants on products. A particular type of research methodology is ANOVA, which stands for Analysis of Variance. All types of research work follow a set pattern. Segregation of variables is one of the most essential prospects of making a paper valuable.

One Way Anova vs Two Way Anova

The main difference between One Way Anova and Two Way Anova is that the former uses one independent variable while the latter uses two. They are further segregated based on the mode of experimental conditions used. The statistical interpretations of mean, median, and mode can be substituted later.

One Way Anova is used to study the direct relationship between the factor and response. The most commonly used levels are interval levels and ratio levels. 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. On the other hand, both variables don’t have to cooperate in the same proportion. It is essential to study both variables separately.

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 two main components include a factor variable and a response variable. They have a direct relationship which is assumed to be established at optimum conditions. The effect of internal factors is given its due importance while ascertaining such values.

One Way Anova requires different observations per group. Null hypothesis and alternative hypothesis are the two possibilities. 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. In other words, variance equality finds a lot of significance while determining correlations using one-way anova technique. Scientific, as well as non-scientific researches, make good use of the same.

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. In most cases, the population is normally distributed so that the sampling can be conducted easily. Controlled variables are not disturbed in any case.

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. The main prerequisite of two way anova is that each group should have the same number of observations. This ensures that there is no discrepancy while comparing the variable during analysis.

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. For instance, gender and health are two separate variables that affect a dependent variable age. This differs from species to species. Other examples include the dependence of plant height on weather and soil. Many other inferences can be drawn for comparing the data.

Two Way Anova uses data classification methods for conducting statistical tests. If the observations are independent, the analysis becomes much more sophisticated. 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. One Way Anova assesses the impact of a single factor while Two Way Anova assesses the overall impact of two factors.
  2. The dependence of variables is continuous in one way anova while the dependence varies as per the multiple variables included in two way anova.
  3. In one way anova, numerous hypothesis tests can be conducted based on the respective requirements while three hypothesis tests are conducted in two way anova.
  4. The number of dependent variables included in one way anova is one while two way anova has combination of dependent variables.
  5. 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. Submission is based solely on the credibility and apt use of references.

Various researchers rely on delegating research work based on the area of expertise. It is essential to focus on the draft since it is the backdrop used for later studies too. 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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