Which SS measures the variability of each data point from the overall mean?

Question

BlackTom AI · Accepted Answer

Start by identifying the core concept: the sum of squares (SS) that measures how far each data point deviates from the overall mean is the total variability in the dataset.
Option: Between
This term refers to the variability due to differences between group means, not the total deviation from the grand mean. It captures how group means differ from each other, not how individual points deviate from the overall mean.
Option: Error
Error (also called residual) SS measures the variability within groups around their group means. It accounts for deviations not explained by the model, but it does not represent all data point deviations from the grand mean.
Option: Total
This is the correct concept: SS Total sums the squared differences between each observation and the grand mean, capturing the entire dispersion of the data.
Option: Within
Within (or sometimes called within-group) SS sums the squared deviations within each group from their respective group means, isolating variability inside groups rather than from the grand mean overall.
In summary, the SS that quantifies how far each data point lies from the overall mean across all data is SS Total, as it aggregates all deviations from the grand mean across all observations.

PSYC20007_2025_SM2 ANOVA, I

Which SS measures the variability of each data point from the overall mean?

查看解析

登录即可查看完整答案

类似问题

Which of these is guaranteed to stay the same if we add an additional independent variable to a model?

Given the scores: X1 = 3, X2 = 4, X3 = 7, X4 = 12, Find the following:

Given the scores: X1 = 3, X2 = 4, X3 = 7, X4 = 12, Find the following:

What is the numerator of the variance equation called?

Identify the bond angle and molecular shape of H2O.

Using Dalton's Atomic theory, explain the following observation. Hint: DO NOT answer with a law! The mass of the products at the end of the reaction was the same as the mass of the reactants at the beginning.

The number of valence electrons in a sulfur atom is 16.

If matter is uniform throughout and can be separated into multiple substances by physical means, it is called a(n) ________________.

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单