detroit stats city
Download
Skip this Video
Download Presentation
Detroit Stats City

Loading in 2 Seconds...

play fullscreen
1 / 18

Detroit Stats City - PowerPoint PPT Presentation


  • 369 Views
  • Uploaded on

Detroit Stats City. Math Modeling Motown’s Music. Nicola Grissom Steve Mahler Becky Trisko. Objectives. To rate similarities between selected songs of Southeast Michigan’s homegrown artists

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Detroit Stats City' - Audrey


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
detroit stats city

Detroit Stats City

Math Modeling Motown’s Music

Nicola Grissom Steve Mahler Becky Trisko

objectives
Objectives
  • To rate similarities between selected songs of Southeast Michigan’s homegrown artists
  • To develop a model accurately describing the main dimensions used by song raters in rating similarities between songs
artists and songs
Artists and Songs

Madonna:

Express Yourself

Kid Rock:

American Badass

artists and songs1
Artists and Songs

Iggy Pop:

Search & Destroy

Eminem:

Without Me

artists and songs2
Artists and Songs

The White Stripes:

Hotel Yorba

The Supremes:

Stop in the

Name of Love

artists and songs3
Artists and Songs

Aaliyah:

We Need a Resolution

Marvin Gaye:

Let’s Get it On

artists and songs4
Artists and Songs

The Temptations:

Get Ready

Derrick May:

Strings of Life

artists and songs5
Artists and Songs

Alice Cooper:

School’s Out

Forever

Ted Nugent:

Cat Scratch

Fever

methods
Methods
  • Each Song was rated on a 21 point Likert scale on similarity with each other song
  • Following ratings, subjects rated each song on the following factors (7 point Likert Scale)
          • “Danceability”
          • “Singability”
          • “Popularity When Released”
          • “Appeal to Males”
          • “Appeal to Females”
          • “Appeal to You”
methods1
Methods
  • In addition, the following objective indices were collected on the songs:

Sex of Performer

Year Song was Released

Top Billboard Chart Position

Style of Music

  • And on their raters:

Sex of Rater

Age of Rater

scree plot
0.215

0.21

0.205

0.2

Stress

0.195

0.19

0.185

0.18

0.175

0.17

1

2

3

4

5

Dimensions

Scree Plot

Elbow

slide12
2.0

tkno

1.5

mnm

1.0

aaa

mad

.5

kr

0.0

spms

ip

tn

ac

tptns

-.5

mg

-1.0

ws

-1.5

-1.5

-1.0

-.5

0.0

.5

1.0

1.5

2.0

Dimension 1

MDS

Euclidean distance model

indscal
.9

.8

.7

.6

4

5

.5

3

2

.4

1

.3

.3

.4

.5

.6

.7

.8

.9

Dimension 1

INDSCAL

Derived Subject Weights

dimensional
Dim 1 Dim 2
          • Danceability .06 -.18
          • Singability .09 -.15
          • Popularity When Released .08 -.15
          • Appeal to Males .12 -.17
          • Appeal to Females .09 -.24
          • Appeal to You .08 -.18
  • Year Song was Released -.23 .43
  • Top Billboard Chart Position -.25 .27
Dimensional?
  • If the songs were rated on continuous dimensions, the distance of a song from the origin on a dimension should correlate with an independent measure of that song’s position on that dimension.

Correlations between MDS-Derived Dimension Scores and

Subject-Rated Dimensions

dimensions
Dimensions?
  • None of the objective or subject-rated characteristics we measured accounted well for the dimensions mapped by MDS.
  • In addition, ranking the songs based on these characteristics did not well describe the putative dimensions mapped by MDS.
tree model
White Stripes

Madonna

Aaliyah

Supremes

Marvin Gaye

Temptations

Eminem

Derrick May

Kid Rock

Iggy Pop

Alice Cooper

Ted Nugent

Tree Model

Group 1

Group 2

mean appeal to females in tree structure groups
Singability

6

5

4

Group 1

Group 2

3

2

t = 4.18, p < 0.005

1

0

t = 4.14, p < 0.005

Mean Appeal to Females in Tree Structure Groups

Appeal to Females

r = .91

conclusion
Conclusion
  • Although we originally hypothesized that the subjects would employ dimensions in rating similarity between songs, our data was more appropriately modeled by a hierarchical tree structure.
  • Subjects seemed to categorize songs by genre and perhaps singability/appeal to females.
ad