We're glad you stopped by Which statistic quantifies the variability of the group means around the grand mean a mean difference b mean square between c mean square within. This page is here to walk you through essential details with clear and straightforward explanations. Our goal is to make your learning experience easy, enriching, and enjoyable. Start exploring and find the information you need!
Answer :
Final answer
The statistic that quantifies the variability of the group means around the grand mean is B. mean square between (MSB) and C. mean square within (MSW).
Explanation
When analyzing the variability of group means around the grand mean, we use a statistical technique called Analysis of Variance (ANOVA). ANOVA is used to compare the means of two or more groups to determine if there are any significant differences between them.
In ANOVA, the variability of the group means around the grand mean is quantified using two statistics: mean square between (MSB) and mean square within (MSW).
Mean square between (MSB) measures the variability between the group means. It calculates the sum of squares between (SSB) by taking the sum of the squared differences between each group mean and the grand mean, and then dividing it by the degrees of freedom between (dfB). MSB is obtained by dividing SSB by dfB.
Mean square within (MSW) measures the variability within each group. It calculates the sum of squares within (SSW) by taking the sum of the squared differences between each individual data point and its respective group mean, and then dividing it by the degrees of freedom within (dfW). MSW is obtained by dividing SSW by dfW.
By comparing MSB and MSW, we can determine if the differences between the group means are statistically significant. If MSB is significantly larger than MSW, it suggests that there are significant differences between the group means.
Learn more about group means here:
https://brainly.com/question/4523756
#SPJ14
We appreciate you taking the time to read Which statistic quantifies the variability of the group means around the grand mean a mean difference b mean square between c mean square within. We hope the insights shared have been helpful in deepening your understanding of the topic. Don't hesitate to browse our website for more valuable and informative content!
- Why do authors use plot complications in stories A To resolve all a story s conflicts at once B To increase suspense and interest C
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees.
Rewritten by : Batagu
