Applying spearman's correlation - Theme
- 5834 keer gelezen
Sample question
The scores for nine students in history and algebra are as follows:
- History: 35, 23, 47, 17, 10, 43, 9, 6, 28
- Algebra: 30, 33, 45, 23, 8, 49, 12, 4, 31
Compute the Spearman rank correlation.
Answer
- Step 1: rank each student
| Student # | History Score | History Rank | Algebra Score | Algebra Rank |
| 1 | 35 | 3 | 30 | 5 |
| 2 | 23 | 5 | 33 | 3 |
| 3 | 47 | 1 | 45 | 2 |
| 4 | 17 | 6 | 23 | 6 |
| 5 | 10 | 7 | 8 | 8 |
| 6 | 43 | 2 | 49 | 1 |
| 7 | 9 | 8 | 12 | 7 |
| 8 | 6 | 9 | 4 | 9 |
| 9 | 28 | 4 | 31 | 4 |
- step 2: calculate difference between the ranks (d) and square d
| Student # | History Score | History Rank | Algebra Score | Algebra Rank | d | d2 |
| 1 | 35 | 3 | 30 | 5 | 2 | 4 |
| 2 | 23 | 5 | 33 | 3 | 2 | 4 |
| 3 | 47 | 1 | 45 | 2 | 1 | 1 |
| 4 | 17 | 6 | 23 | 6 | 0 | 0 |
| 5 | 10 | 7 | 8 | 8 | 1 | 1 |
| 6 | 43 | 2 | 49 | 1 | 1 | 1 |
| 7 | 9 | 8 | 12 | 7 | 1 | 1 |
| 8 | 6 | 9 | 4 | 9 | 0 | 0 |
| 9 | 28 | 4 | 31 | 4 | 0 | 0 |
- step 3: sum (add up) all the d2 scores
- Σ d2 = 4 + 4 + 1 + 0 + 1 + 1 + 1 + 0 + 0 = 12
- step 4: insert the values in the formula. These ranks are not tied, so use the first formula:
\[\rho = 1 - \frac{6\sum{d^2_i}}{n(n^2-1)}\]
= 1 – (6*12)/(9(81-1))
= 1 – 72/720
= 1-0.1
= 0.9
> The Spearman Rank Correlation for this set of data is 0.9.
Access:
Public
Join WorldSupporter!
Join with a free account for more service, or become a member for full access to exclusives and extra support of WorldSupporter >>
This content is related to:
Applying spearman's correlation - Theme
Check more of topic:
This content is used in:
Going abroad?
Study with summaries
Search a summary
Contributions: posts
Help other WorldSupporters with additions, improvements and tips
Spotlight: topics
Check the related and most recent topics and summaries:
Activities abroad, study fields and working areas:
This content is also used in .....
The Spearman's Correlation Bundle: all questions and answers
Spearman's Correlation Bundle:
Check how to use summaries on WorldSupporter.org
Online access to all summaries, study notes en practice exams
- Check out: Register with JoHo WorldSupporter: starting page (EN)
- Check out: Aanmelden bij JoHo WorldSupporter - startpagina (NL)
How and why use WorldSupporter.org for your summaries and study assistance?
- For free use of many of the summaries and study aids provided or collected by your fellow students.
- For free use of many of the lecture and study group notes, exam questions and practice questions.
- For use of all exclusive summaries and study assistance for those who are member with JoHo WorldSupporter with online access
- For compiling your own materials and contributions with relevant study help
- For sharing and finding relevant and interesting summaries, documents, notes, blogs, tips, videos, discussions, activities, recipes, side jobs and more.
Using and finding summaries, notes and practice exams on JoHo WorldSupporter
There are several ways to navigate the large amount of summaries, study notes en practice exams on JoHo WorldSupporter.
- Use the summaries home pages for your study or field of study
- Use the check and search pages for summaries and study aids by field of study, subject or faculty
- Use and follow your (study) organization
- by using your own student organization as a starting point, and continuing to follow it, easily discover which study materials are relevant to you
- this option is only available through partner organizations
- Check or follow authors or other WorldSupporters
- Use the menu above each page to go to the main theme pages for summaries
- Theme pages can be found for international studies as well as Dutch studies
Do you want to share your summaries with JoHo WorldSupporter and its visitors?
- Check out: Why and how to add a WorldSupporter contributions
- JoHo members: JoHo WorldSupporter members can share content directly and have access to all content: Join JoHo and become a JoHo member
- Non-members: When you are not a member you do not have full access, but if you want to share your own content with others you can fill out the contact form
Quicklinks to fields of study for summaries and study assistance
Main summaries home pages:
- Business organization and economics - Communication and marketing -International relations and international organizations - IT, logistics and technology - Law and administration - Leisure, sports and tourism - Medicine and healthcare - Pedagogy and educational science - Psychology and behavioral sciences - Society, culture and arts - Statistics and research
- Summaries: the best textbooks summarized per field of study
- Summaries: the best scientific articles summarized per field of study
- Summaries: the best definitions, descriptions and lists of terms per field of study
- Exams: home page for exams, exam tips and study tips
Main study fields:
Business organization and economics, Communication & Marketing, Education & Pedagogic Sciences, International Relations and Politics, IT and Technology, Law & Administration, Medicine & Health Care, Nature & Environmental Sciences, Psychology and behavioral sciences, Science and academic Research, Society & Culture, Tourisme & Sports
Main study fields NL:
- Studies: Bedrijfskunde en economie, communicatie en marketing, geneeskunde en gezondheidszorg, internationale studies en betrekkingen, IT, Logistiek en technologie, maatschappij, cultuur en sociale studies, pedagogiek en onderwijskunde, rechten en bestuurskunde, statistiek, onderzoeksmethoden en SPSS
- Studie instellingen: Maatschappij: ISW in Utrecht - Pedagogiek: Groningen, Leiden , Utrecht - Psychologie: Amsterdam, Leiden, Nijmegen, Twente, Utrecht - Recht: Arresten en jurisprudentie, Groningen, Leiden
Follow the author: Statistics Supporter
Work for WorldSupporter
JoHo can really use your help! Check out the various student jobs here that match your studies, improve your competencies, strengthen your CV and contribute to a more tolerant world
Statistics
| 57462 | 2 | 1 |
Prif. Reza contributed on 11-01-2021 18:24
Azad university
Statistics Nwosu Chijioke Peter contributed on 04-06-2023 22:22
It added to my knowledge of statistics
Add new contribution