CORRELATION
COEFFICIENTS
RANK DIFFERENCE CORRELATION
AMT 2 BRAVO
CORRELATION COEFFICIENTS
Correlation coefficients are indicators of the strength of
the linear relationship between two different variables, x
and y. A linear correlation coefficient that is greater than
zero indicates a positive relationship. A value that is less
than zero signifies a negative relationship. Finally, a value of
zero indicates no relationship between the two variables x
and y.
RANK DIFFERENCE
CORRELATION
Rank difference correlation
●
is an approach to statistical correlation.
●
In statistics, Spearman's rank correlation coefficient or Spearman's
rho, named after Charles Spearman and often denoted by the
Greek letter (rho) or as
, is a non-parametric measure
of correlation – that is, it assesses how well an
arbitrary monotonic function could describe the relationship
between two variables, without making any assumptions about
the frequency distribution of the variables.
Rank difference correlation
The weight (in kg) and age of the selected students enrolled in the
MGEC 228B course are as follows:
Rx
Rank =
.
4+5
2
9
=
2
= 4.5
2
6
4.5
7
3
4.5
1
Ry
Rank =
2.5
5.5
5.5
5.5
1
2.5
5.5
2+3
2
5
=
2
= 2.5
.
Rank =
=
4+5+6+7
2
22
4
= 5.5
D
D= 𝑅𝑥 − 𝑅𝑦
-0.5
0.5
-1
1.5
2
2
-4.5
.
D= 2 − 2.5
= −0.5
𝑫2
0.25
0.25
1
2.25
4
4
20.25
∑D2= 32
Rank difference correlation
The weight (in kg) and age of the selected students enrolled in the MGEC 228B
course are as follows:
Interpretations of R:
0 − ± .20 ∶ 𝑁𝑒𝑔𝑙𝑖𝑔𝑖𝑏𝑙𝑒 𝑅𝑒𝑙𝑎𝑡𝑖𝑜𝑛𝑠ℎ𝑖𝑝
± .21 − ± .40 ∶ 𝑆𝑙𝑖𝑔ℎ𝑡 𝑅𝑒𝑙𝑎𝑡𝑖𝑜𝑛𝑠ℎ𝑖𝑝
.
± .41 − ± .70 ∶ 𝑀𝑜𝑑𝑒𝑟𝑎𝑡𝑒 𝑅𝑒𝑙𝑎𝑡𝑖𝑜𝑛𝑠ℎ𝑖𝑝
± .71 − ± .90 ∶ 𝑀𝑎𝑟𝑘 𝑜𝑟 𝐻𝑖𝑔ℎ 𝑅𝑒𝑙𝑎𝑡𝑖𝑜𝑛𝑠ℎ𝑖𝑝
± .91 − ±1 .00 ∶ 𝑉𝑒𝑟𝑦 𝐻𝑖𝑔ℎ 𝑡𝑜 𝑃𝑒𝑟𝑓𝑒𝑐𝑡 𝑅𝑒𝑙𝑎𝑡𝑖𝑜𝑛𝑠ℎ𝑖𝑝
Rank difference correlation
𝜌 =1−
.
6 ෌ 𝐷2
𝑁 𝑁2 − 1
6 32
𝜌 =1−
7 72 − 1
𝜌 =1−
192
336
𝜌 = 1 − 0.5714285714
𝜌 = 0.4285714286
𝜌 ≈ 0.43
∴ Moderate Relationship
THANKS!
Rank difference correlation
Group 1
Representative:
Jake Antoquia
Members:
Albretch Amor
Edrean Joseph Andriano
Jay Bryle Arranchado
Ellie Mar Bagalanon
Rhemy Shane Beduya
Jerick Cabaron
Junrey Canillas
Group 2
Representative:
Loriemae Dayaganon
Members:
John Paul Dagahuya
Wayne Dumaran
Kent Xavier Enot
Sheira Genobia
Jude Michael Go
Felh Smarth Clyde Imperial
Michael Andrian Incepido
Christian Mike Louie Laureta
Kentloi Mainit
Luke Makiling
Group 3
Representative:
John Paul Valiente
Members:
Reum John Sespeñe
Alfie Teopiz
Mildred Uela Peñaranda
Danica Omega
Christian Phua
Ace Pol Vasquez
Jet Sanchez
Eliseu Pino
Freddie Ben Ojeda
Jhon Lawrence Robledo