Performing one-way Analysis of Variance (ANOVA) involves different steps. Arrange the following steps in the correct sequence for performing one-way ANOVA:
A. Calculate the mean sum of squares B. Tabulate the data available C. Partition the sources of variances into two parts (between and within) D. Calculate the degrees of freedom for different sources of variances E. Calculate the variance ratio (F-statistic)
Choose the most appropriate answer from the options given below:

Correct option is A

The correct sequence for performing a one-way ANOVA is as follows:
1. Tabulate the Data Available (B):
· Organize the data into a tabular form, dividing it into groups based on the independent variable.
2. Partition the Sources of Variances (C):
· Divide the total variance into between-group variance (due to differences between groups) and within-group variance (due to differences within groups).
3. Calculate the Degrees of Freedom (D):
· Determine the degrees of freedom for the between-group and within-group variances.
4. Calculate the Mean Sum of Squares (A):
· Compute the mean square values by dividing the sum of squares for between-group and within-group variances by their respective degrees of freedom.
5. Calculate the Variance Ratio (F-statistic) (E):
· Compute the F-statistic by dividing the mean square for between-group variance by the mean square for within-group variance.
Information Booster: 1. Key Concepts in ANOVA:
· Between-group variance: Measures variation due to group differences.
· Within-group variance: Measures variation within each group due to randomness.
· F-ratio: Compares the two variances to test the null hypothesis.
2. Assumptions of One-Way ANOVA:
· Normality of data.
· Homogeneity of variances.
· Independence of observations.
3. Applications of ANOVA:
· Used in research to test differences across multiple categories, e.g., testing the effect of different fertilizers on crop yield.
4. Extensions of ANOVA:
· Two-Way ANOVA: Examines the influence of two independent variables.
· Repeated Measures ANOVA: Used when measurements are repeated on the same subjects.