# One Way ANOVA

Statistics Solutions provides a data analysis plan template for the one way ANOVA. You can use this template to develop the data analysis section of your dissertation or research proposal.

The template includes research questions stated in statistical language, analysis justification and assumptions of the analysis. Simply edit the blue text to reflect your research information and you will have the data analysis plan for your dissertation or research proposal.

**Data Analysis Plan: One Way ANOVA**

Copy and paste the following into a word document to use as your data analysis plan template.

*Research Question:*

Is there a statistically significant difference on dependent variable by independent variable?

H_{o}: There is not a statistically significant difference on dependent variable by independent variable.

H_{a}: There is a statistically significant difference on dependent variable by independent variable.

*Data Analysis*

To examine the research question, an Analysis of Variance (one way ANOVA) will be conducted to determine if there a significant difference on the dependent variable by independent variable. One way ANOVA is an appropriate statistical analysis when the purpose of research is to assess if mean differences exist on one continuous dependent variable by an independent variable with two or more discrete groups. The dependent variable in this analysis is dependent variable, and the discrete groups of independent variable (insert categories of groups). The assumptions of normality and homogeneity of variance will be assessed. Normality assumes that the scores are normally distributed (bell-shaped) and will be assessed using the One-Sample Kolmogorov-Smirnov test. Homogeneity of variance assumes that both groups have equal error variances and will be assessed using Levene’s Test for the Equality of Error Variances. The *t*-test will be two- tailed with the probability of rejecting the null hypothesis when it is true set at *p** *< 0.05. This ensures a 95% certainty that the differences did not occur by chance.

**Reference**

Statistics Solutions. (2013). Data analysis plan: One Way ANOVA [WWW Document]. Retrieved from http://www.statisticssolutions.com/academic-solutions/member-resources/member-profile/data-analysis-plan-templates/data-analysis-plan-one-way-anova/

The ANOVA uses the *F-*test, a ratio of the two independent variance estimates of the same population variance. The *F-*test allows researchers to make the overall comparisons on whether group means differ. If the obtained *F* statistic is larger than the critical *F* statistics, the null hypothesis is rejected. The assumptions of normality and homogeneity of variance will be assessed. Normality assumes that the scores are normally distributed (bell shaped) and will be assessed using the one-sample Kolmogorov-Smirnov test. Homogeneity of variance assumes that both groups have equal error variances and will be assessed using Levene’s Test for the Equality of Error Variances.