{"id":151,"date":"2018-03-07T21:16:00","date_gmt":"2018-03-07T20:16:00","guid":{"rendered":"https:\/\/kindsonthegenius.com\/blog\/2018\/03\/07\/how-to-perform-analysis-of-variance-anova-step-by-step-procedure\/"},"modified":"2020-11-05T14:22:11","modified_gmt":"2020-11-05T13:22:11","slug":"how-to-perform-analysis-of-variance-anova-step-by-step-procedure","status":"publish","type":"post","link":"https:\/\/kindsonthegenius.com\/blog\/how-to-perform-analysis-of-variance-anova-step-by-step-procedure\/","title":{"rendered":"How to Perform Analysis of Variance (ANOVA) – Step By Step Procedure"},"content":{"rendered":"
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In this lesson, we would look at the steps to follow to perform Analysis of Variance(ANOVA). This would be very clear and easy to follow. ANOVA is used to analyze the difference in the means of diffrent groups (for 3 or more groups).<\/p>\n

The procedure is made up of just three basic stages. After looking at the procedure, we would apply it in a real problem.<\/p>\n

The Seven Steps are<\/b>
Step 1: Calculate the Mean<\/a>
Step 2: Setup the null and alternate hypothesis<\/a>
Step 3: Calculate the Sum of Squares<\/a>
Step 4: Calculate the Degrees of Freedom<\/a>
Step 5: Calculate the Mean Squares<\/a>
Step 6: Calculate the F Statistic<\/a>
Step 7: Look up statistical Table and state your conclusion<\/a><\/p>\n

Veiw a solve example!<\/a><\/p>\n

Before we begin, take some time to examine Figure 1. This figure summarizes what needs to be calculated to perform a one-way ANOVA.<\/p>\n

<\/a><\/div>\n

Figure 1: Analysis of Variance Table<\/p>\n

<\/b>
<\/p>\n

Step 1: Calculate all the means<\/h3>\n

<\/b>
You need to calculate all the means for all the groups in the question. Then you also need to calculate to overall means with all the data combined as one single group.
Go to solved example <\/a><\/span><\/p>\n

<\/p>\n

Step 2: Set up the null and alternate hypothesis and the Alpha<\/h3>\n

<\/b>
The null hypothesis assumes that there is no variance data in different groups. In other words, the means are the same
The alternate hypothesis states the means are different. So we can state as follows:<\/p>\n

H0<\/sub>:<\/b> \u03bc1<\/sub> = \u03bc2<\/sub> = \u03bc3<\/sub>
Ha<\/sub><\/b>: \u03bc1<\/sub> \u2260 \u03bc2<\/sub> \u2260 \u03bc3<\/sub><\/p>\n

<\/p>\n

Step 3: Calculate the Sum of Squares<\/h3>\n

<\/b>
Calculate the Sum of Squares Total (SST):<\/i><\/span> The SStotal is the Sum of Squares(SS) based on the entire set in all the groups. In this case, you treat all the data from all the groups like on single combined set of data<\/p>\n

<\/p>\n

<\/a> <\/div>\n

Calculate the Sum of Squares Within Groups (SSW)<\/i>: <\/span>The is the sum of squares within each group. After calculating the sum of squares for each group, then you add them together for all the groups. That is why you have the sum symbol twice in the formular<\/p>\n