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1. A one-way ANOVA test is designed for the equality testing between three or more means. whereas two-way ANOVA test assesses the relationship of independent variables on a dependent variable. 2. A one-way ANOVA test only either one factor or an independent variable, whereas two independent variables are involved in a two-way ANOVA test. 3. In one-way ANOVA test independent variable analysed has three or more categorical groups. But two-way ANOVA tests compares multiple groups. 4. One-way ANOVA test satisfies replication and randomisation principle, whereas two-way ANOVA test meets replication, randomisation, and local control principles.

Assumptions involved in 1)One-way ANOVA test Normality – That is each sample must be taken from a normally distributed population Sample independence – Each sample should be drawn independently of the other samples Variance equality – Variance of the data in the various groups should be the same 2)Two-way ANOVA test Dependent variable should be continuous Independent variables should be in categorical and independent groups Each sample must be drawn independently of the other samples Each sample should be taken from a normally distributed population

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