Spearman's Rank
Flashcard
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is Spearman's Rank Correlation Coefficient?
Back
A non-parametric measure of rank correlation that assesses how well the relationship between two variables can be described using a monotonic function.
2.
FLASHCARD QUESTION
Front
How is Spearman's Rank Correlation Coefficient calculated?
Back
By ranking the data points for each variable, calculating the difference between the ranks, and applying the formula: \( r_s = 1 - \frac{6 \sum d_i^2}{n(n^2 - 1)} \) where \( d_i \) is the difference between ranks and \( n \) is the number of pairs.
3.
FLASHCARD QUESTION
Front
What does a Spearman's rank correlation coefficient of -0.714 indicate?
Back
A strong negative correlation between the two variables being analyzed.
4.
FLASHCARD QUESTION
Front
What does a Spearman's rank correlation coefficient of 0.707 indicate?
Back
A strong positive correlation between the two variables being analyzed.
5.
FLASHCARD QUESTION
Front
What is the significance level in hypothesis testing?
Back
The probability of rejecting the null hypothesis when it is true, commonly set at 0.05.
6.
FLASHCARD QUESTION
Front
What does it mean if a correlation is 'not significant' at the 0.05 level?
Back
It indicates that there is not enough evidence to conclude that a relationship exists between the two variables.
Tags
CCSS.HSS.ID.B.6B
7.
FLASHCARD QUESTION
Front
What is the range of Spearman's rank correlation coefficient?
Back
The range is from -1 to +1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and +1 indicates a perfect positive correlation.
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