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Which test is used when looking at comparison of means from a single dependent variable among...

Which test is used when looking at comparison of means from a single dependent variable among two or more groups or samples?

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Expert Solution

Case 1 - Two Groups

  • If the means of a single dependent variable among groups follows normal distribution
    • we do not know the population variances of two groups and assumed that the variances of two groups are not equal - Independent Samples t test
    • we do not know the population variances of two groups and assumed that the variances of two groups are equal - Pooled t test
    • we know the population variances of two groups Independent Samples z test
  • If the means of a single dependent variable among groups do not follow normal distribution -  Mann-Whitney test

Case 2 - More than Two Groups

  • If the means of a single dependent variable among groups follows normal distribution and variances of  dependent variable are equal within groups - One Way Anova
  • ​​​​​​​If the means of a single dependent variable among groups do not follow normal distribution -  Kruskal Wallis test

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