Math Problem Statement
n Simple Repeated Measures designs, SSWS = ?
Question 12Answer
SSBT – SSResidual
SSBS – SSTotal
SSBT + SSResidual
SSTotal + SSBS
Solution
In a simple repeated measures design, SSWS refers to the Sum of Squares Within Subjects, which accounts for variability due to differences between individuals in a repeated measures study. This term is commonly defined as:
SSWS = SSTotal - SSBS
Where:
- SSTotal is the total sum of squares, representing overall variability in the data.
- SSBS is the sum of squares between subjects, accounting for variability due to differences between participants.
Thus, the correct choice is:
SSWS = SSTotal - SSBS
Would you like a detailed explanation or further assistance with this concept?
Related Questions:
- What are the steps to compute SSWS in a repeated measures ANOVA?
- How does SSWS differ from SSResidual?
- What is the significance of partitioning variance in repeated measures designs?
- How do you interpret SSBS and its role in repeated measures?
- Can SSWS be zero, and under what conditions?
Tip: Always double-check that your sums of squares add up to the total variance to confirm your calculations!
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Math Problem Analysis
Mathematical Concepts
Repeated Measures ANOVA
Sum of Squares
Variance Partitioning
Formulas
SSWS = SSTotal - SSBS
Theorems
Partitioning Variance in Repeated Measures Design
Suitable Grade Level
Undergraduate Psychology/Statistics
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