8/8/2019 Research Methodology Glossary Part 4

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8/8/2019 Research Methodology Glossary Part 4

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13. Analysis of Variance (ANOVA): ANOVA is a family of multivariate statistical

technique for helping to infer whether there are real differences between

the means of 3 or more groups or variables in a population, based on

sample data.

14. One-way ANOVA: It is a way to test the equality of three or more means atone time by using variances.

15. Grand Mean: The Grand mean of a set of samples is the total of all the data

values divided by the total sample size.

16. Total Variation: The Total Variation (not variance) is comprised the sum of 

the squares of the differences of each mean with the grand mean (SST).

17. Between Group Variation: The variation due to the interaction between

the samples is denoted SS (B) for Sum of Squares Between groups.

18. Within Group Variation: The variation due to differences within individual

samples denoted SS (W) for Sum of Squares Within groups.19. F Test Statistic: The F test statistic is found by dividing the between group

variance by the within group variance.

20. Two-way ANOVA: It is the extension of one-way ANOVA. Since, there are

two independent variables involve it is known as Two-way ANOVA.

21. Factors: The two independent variables in a two-way ANOVA are called

factors.

22. Treatment Group: Treatment Groups are formed by making all possible

combinations of the two factors.

23. Main Effect: The main effect involves the independent variables one at atime. The interaction is ignored for this part. Just the row or just the

columns are used, not mixed.

24. Interaction Effect: This is the effect that one factor has on the other factor.

The degrees of freedom here are the product of the two degrees of 

freedom for each factor.

25. Within Variation: The Within Variation is the sum of squares within each

treatment group.

26. Within Variance: The Within Variance is the within variation divided by its

degrees of freedom.