For an ANOVA Comparing Three Treatment Conditions,what Is Stated by the Null

question 41

Multiple Choice

For an ANOVA comparing three treatment conditions,what is stated by the null hypothesis (H₀) ?

• A)There are no differences between any of the population means.
• B)At least one of the three population means is different from another mean.
• C)All three of the population means are different from each other.
• D)None of the other choices is correct.

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Definitions:

ANOVA Model

A statistical method (Analysis of Variance) used to compare means across three or more groups for statistical significance.

Sum Squares Treatments (SST)

The total variation attributed to different treatments in an analysis of variance (ANOVA) context, measuring the difference between treatment means and the overall mean.

Mean Square Treatments

In the context of ANOVA, a measure of variance among the means of different groups, calculated by dividing the sum of squares due to treatment by the degrees of freedom for treatment.

F-test

A statistical test used to compare two variances and ascertain if they come from populations with equal variances.