This document discusses rank correlation and Spearman's coefficient of rank correlation. Rank correlation is used to measure the relationship between two variables when only rank orders are available rather than exact numerical values. Spearman's coefficient of rank correlation (rs) is calculated using the differences in ranks between two data sets. A higher rs value indicates a closer relationship between the rankings. The document provides two examples to demonstrate calculating rs and interpreting the results.
Explaining correlation, assumptions,coefficients of correlation, coefficient of determination, variate, partial correlation, assumption, order and hypothesis of partial correlation with example, checking significance and graphical representation of partial correlation.
HOW IS IT USEFUL IN FIELD OF FORENSIC SCIENCE AND IN THIS I HAVE SHOWN THE TYPES OF CORRELATION, SIGNIFICANCE , METHODS AND KARL PEARSON'S METHOD OF CORRELATION
Explaining correlation, assumptions,coefficients of correlation, coefficient of determination, variate, partial correlation, assumption, order and hypothesis of partial correlation with example, checking significance and graphical representation of partial correlation.
HOW IS IT USEFUL IN FIELD OF FORENSIC SCIENCE AND IN THIS I HAVE SHOWN THE TYPES OF CORRELATION, SIGNIFICANCE , METHODS AND KARL PEARSON'S METHOD OF CORRELATION
Measure of dispersion has two types Absolute measure and Graphical measure. There are other different types in there.
In this slide the discussed points are:
1. Dispersion & it's types
2. Definition
3. Use
4. Merits
5. Demerits
6. Formula & math
7. Graph and pictures
8. Real life application.
Brief description of the concepts related to correlation analysis. Problem Sums related to Karl Pearson's Correlation, Spearman's Rank Correlation, Coefficient of Concurrent Deviation, Correlation of a grouped data.
Correlation- an introduction and application of spearman rank correlation by...Gunjan Verma
this presentation contains the types of correlation, uses, limitations, introduction to spearman rank correlation, and its application. a numerical is also given in the presentation
Mpc 006 - 02-03 partial and multiple correlationVasant Kothari
3.2 Partial Correlation (rp)
3.2.1 Formula and Example
3.2.2 Alternative Use of Partial Correlation
3.3 Linear Regression
3.4 Part Correlation (Semipartial correlation) rsp
3.4.1 Semipartial Correlation: Alternative Understanding
3.5 Multiple Correlation Coefficient (R)
this ppt gives you adequate information about Karl Pearsonscoefficient correlation and its calculation. its the widely used to calculate a relationship between two variables. The correlation shows a specific value of the degree of a linear relationship between the X and Y variables. it is also called as The Karl Pearson‘s product-moment correlation coefficient. the value of r is alwys lies between -1 to +1. + 0.1 shows Lower degree of +ve correlation, +0.8 shows Higher degree of +ve correlation.-0.1 shows Lower degree of -ve correlation. -0.8 shows Higher degree of -ve correlation.
Multiple Correlation Coefficient denoting a correlation of one variable with multiple other variables. The Multiple Correlation Coefficient, R, is a measure of the strength of the association between the independent (explanatory) variables and the one dependent (prediction) variable. This presentation explains the concept of multiple correlation and its computation process.
It is most useful for the students of BBA for the subject of "Data Analysis and Modeling"/
It has covered the content of chapter- Data regression Model
Visit for more on www.ramkumarshah.com.np/
Measure of dispersion has two types Absolute measure and Graphical measure. There are other different types in there.
In this slide the discussed points are:
1. Dispersion & it's types
2. Definition
3. Use
4. Merits
5. Demerits
6. Formula & math
7. Graph and pictures
8. Real life application.
Brief description of the concepts related to correlation analysis. Problem Sums related to Karl Pearson's Correlation, Spearman's Rank Correlation, Coefficient of Concurrent Deviation, Correlation of a grouped data.
Correlation- an introduction and application of spearman rank correlation by...Gunjan Verma
this presentation contains the types of correlation, uses, limitations, introduction to spearman rank correlation, and its application. a numerical is also given in the presentation
Mpc 006 - 02-03 partial and multiple correlationVasant Kothari
3.2 Partial Correlation (rp)
3.2.1 Formula and Example
3.2.2 Alternative Use of Partial Correlation
3.3 Linear Regression
3.4 Part Correlation (Semipartial correlation) rsp
3.4.1 Semipartial Correlation: Alternative Understanding
3.5 Multiple Correlation Coefficient (R)
this ppt gives you adequate information about Karl Pearsonscoefficient correlation and its calculation. its the widely used to calculate a relationship between two variables. The correlation shows a specific value of the degree of a linear relationship between the X and Y variables. it is also called as The Karl Pearson‘s product-moment correlation coefficient. the value of r is alwys lies between -1 to +1. + 0.1 shows Lower degree of +ve correlation, +0.8 shows Higher degree of +ve correlation.-0.1 shows Lower degree of -ve correlation. -0.8 shows Higher degree of -ve correlation.
Multiple Correlation Coefficient denoting a correlation of one variable with multiple other variables. The Multiple Correlation Coefficient, R, is a measure of the strength of the association between the independent (explanatory) variables and the one dependent (prediction) variable. This presentation explains the concept of multiple correlation and its computation process.
It is most useful for the students of BBA for the subject of "Data Analysis and Modeling"/
It has covered the content of chapter- Data regression Model
Visit for more on www.ramkumarshah.com.np/
10. The Pearson r and Spearman rho correlation coefficients ar.docxhyacinthshackley2629
10. The Pearson r and Spearman rho correlation coefficients are related. Is this statement correct? Explain.
15. In a large introductory sociology course, a professor gives two exams. The professor wants to determine whether the scores students receive on the second exam are correlated with their scores on the first exam. To make the calculations easier, a sample of eight students is selected. Their scores are shown in the accompanying table.
Student Exam 1 Exam 2
1 60 60
2 75 100
3 70 80
4 72 68
5 54 73
6 83 97
7 80 85
8 65 90
a. Construct a scatter plot of the data, using exam 1 score as the X variable. Does the relationship look linear?
b. Assuming a linear relationship exists between scores on the two exams, compute the value for Pearson r.
c. How well does the relationship account for the scores on exam 2?
18. An educator has constructed a test for mechanical aptitude. He wants to determine how reliable the test is over two administrations spaced by 1 month. A study is conducted in which 10 students are given two administrations of the test, with the second administration being 1 month after the first. The data are given in the following table.
Student Administration 1 Administration 2
1 10 10
2 12 15
3 20 17
4 25 25
5 27 32
6 35 37
7 43 40
8 40 38
9 32 30
10 47 49
a. Construct a scatter plot of the paired scores.
b. Determine the value of r.
c. Would it be fair to say that this is a reliable test? Explain using r2.
22. A social psychologist conducts a study to determine the relationship between religion and selfesteem. Ten eighth graders are randomly selected for the study. Each individual undergoes two tests, one measuring self-esteem and the other religious involvement. For the self-esteem test, the lower the score is, the higher self-esteem is; for the test measuring religious involvement, the higher the score is, the higher religious involvement is. The selfesteem test has a range from 1 to 10 and the religious involvement test ranges from 0 to 50. For the purposes of this question, assume both tests are well standardized and of interval scaling. The following data are collected.
Subject Religious Involvement Self-Este.
Presentation on methods to analyse student's performance. The presentation includes - Measures of central tendencies (Mean, Median, Mode), Percentile and Percentile rank, Standard scores - Z and T scores
THIS PRESENTATION SHOWS US A STEP BY STEP METHOD TO CALCULATE THE RANK CORRELATION COEFFICIENT.
IT WOULD BENEFIT GRADE 11 MATH STUDENTS AND COLLEGE STUDENTS STUDYING STATISTICS.
PROBLEMS ARE EXPLAINED IN A SIMPLE AND EASY WAY.
SO WATCH THIS PRESENTATION AND VIDEO TODAY.
Non-parametric Statistical tests for Hypotheses testingSundar B N
A complete guidelines for Non-parametric Statistical tests for Hypotheses testing with relevant examples which covers Meaning of non-parametric test, Types of non-parametric test, Sign test, Rank sum test, Chi-square test, Wilcoxon signed-ranks test, Mc Nemer test, Spearman’s rank correlation, statistics,
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This is my report in my Assessment II subject. I am assigned to discuss on how to interpret test scores by standard deviation unit, Z-score, T-score, Stanine, Deviation IQ and NCE.
Methods of Interpreting Test Scores
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2. Rank Correlation:-
There are many situations where
numerical values are not available,
but data have been assembled in a
relative order, the best being in the
first rank, the second best next and
so on.
OR
Some time it is not possible to
measure certain variable, but it is
possible to arrange them in order.
3. For Example
If two coffee flavor experts were asked
to place 5 coffee flavor in order of
preference, they would rank the five
coffee flavor in order, using the
number 1,2,3,4,5.
The flavor they liked best would be
ranked 1.
The flavor they liked least would be
ranked 5.
4. The formula for correlation between
ranking of two sets of data is called
Rank Correlation or Spearman’s
Coefficient of Rank Correlation.
It is denoted by rs.
𝑟𝑠 = 1 −
6∑𝑑2
𝑛 𝑛2−1
Where ‘d’ is the difference in ranking
between the two sets of observations
and ‘n’ is the number of data pairs.
5. Example-1:
The following table shows ten students
were ranked according to their
performance in their class work and
their final examinations.
We want to find out whether there is a
relationship between the
accomplishment of the students during
the whole year and their performance in
their exams.
6. Solution:
Students Ranking
based on
class work
(x)
Ranking
based on
exam
marks (y)
Difference
d
d2
A 2 1 1 1
B 5 6 -1 1
C 6 4 2 4
D 1 2 -1 1
E 4 3 1 1
F 10 7 3 9
G 7 8 -1 1
H 9 10 -1 1
I 3 5 -2 4
J 8 9 -1 1
SUM ∑ d2=24