What Is an Analysis of Variance (ANOVA)?

Nowadays, data is playing a bigger and bigger role in the way that businesses operate. This is a great trend, since data allows businesses of all sizes and industries make much more informed decisions about their customers, products, and services, ultimately allowing them to function more effectively. At the same time, more and more consumers are interfacing with data, too. Especially during 2020, when positivity rates and vaccine efficacy is charted in sample sizes and percentages, having a solid understanding of data can be crucial to existing in the 21st century.

One way to better understand data analysis is to gain a firmer grasp on variance. You may have heard about variance a lot in regards to polling and forecasting surrounding the 2020 election. Variance has just as vital a role to play in your business, since it can help you have an even better idea about the risk you’re taking as you weigh certain decisions. Read on to learn more about data variance and how the analysis of variance can help you make stronger choices for your company.

How is analysis of variance used?


The first question to ask yourself when it comes to variance is “What is analysis of variance?” Put in its simplest terms, analysis of variance, also known as ANOVA, involves comparing variance from one set of data to another. ANOVA may involve two data sets or it may involve five data sets or more. One of the places that ANOVA can be particularly helpful is in determining whether there’s major variance between a variety of groups in a specific sample size.

One of the easiest examples to bring up when it comes to how ANOVA can be used has to do with proving null hypothesises. A null hypothesis can either be agreed upon or disagreed with, however, the most important thing to remember about a null hypothesis is that when the ANOVA results in a null hypothesis it means that there isn’t a measurable difference between the groupings. For example, if you were testing vaccine effectiveness with different groups and calculating variance between different vaccine injections and the groups who received them, a null hypothesis would mean that no one vaccine performed better than another. Most importantly, perhaps, analysis of variance also helps you understand whether the variance between different statistics or group means is statistically relevant or not. It’s worth noting that sometimes deviation isn’t a sign of a significant difference, and instead just illustrates that there was an error in the experimental design.

What are the different types of analysis of variance?


When it comes to using ANOVA with different sample sizes, there are two different ways to handle the data. You can either perform one-way ANOVA analysis or two-way ANOVA analysis. One-way ANOVA is best suited to handling sample sets from experiments that only involve one independent variable. On the contrary, using two-way ANOVA is best for when there are two independent variables. You may sometimes hear one-way ANOVA referred to as “simple ANOVA,” whereas two-way ANOVA will occasionally be classified as full factorial ANOVA. While different data scientists will refer to them by different names, it’s worth remembering that the function of each form of analysis is the same.

It’s also important to note that both one-way ANOVA and two-way ANOVA make assumptions about the group means that they’re analyzing. One-way ANOVA, for example, assumes that there’s a normal distribution of the dependent variable within the data sets. On the other hand, when it comes to normalcy, two-way ANOVA assumes that the sample set is normal within a normal population. As such, it’s important to recognize that there are limitations of ANOVA, even as it’s incredibly helpful for comparing some group means.

Jason B. Barker

Social media expert. Student. Music advocate. Travel aficionado. Bacon scholar. Skydiver, risk-taker, hiphop head, Eames fan and Guest speaker. Acting at the intersection of design and purpose to develop visual solutions that inform and persuade. I am 20 years old.