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If a reasearcher has to compare the means across three groups quantitatively, which among the following will be the most appropriate statistical techn
Question



If a reasearcher has to compare the means across three groups quantitatively, which among the following will be the most appropriate statistical technique for this purpose

A.

Correlation analysis

B.

Regression analysis

C.

Chi-square test

D.

Analysis of variance

Correct option is D


The Analysis of Variance (ANOVA) is the most appropriate statistical technique when a researcher needs to compare the means across three or more groups. ANOVA tests whether there are significant differences between the means of different groups and is particularly useful when comparing multiple groups in an experiment or study.
· Correlation analysis (a) is used to assess the relationship between two continuous variables, not for comparing means.
· Regression analysis (b) examines the relationship between dependent and independent variables, but it is not typically used for comparing group means.
· Chi-square test (c) is used for categorical data, to test the relationship between two variables, not for comparing means of continuous variables.
Information Booster: 1. ANOVA (Analysis of Variance): Used when comparing the means of three or more groups to determine if at least one group is significantly different from others.
2. One-way ANOVA: Compares the means between different groups based on a single factor.
3. Two-way ANOVA: Used when two independent variables are involved and tests for interactions between them.
4. Post-hoc tests: Conducted after ANOVA if significant differences are found to determine exactly which groups differ from each other.
5. Assumptions of ANOVA: Assumes normality, homogeneity of variance, and independence of observations.

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