Colorful Personalit
ies
By Chelsey Provencher and Lauren Hoover
Our Project
We wanted to see if there is a correlation between the meaning behind a person’s favorite color and aspects of a person’s personality.
We also wanted to see if there was a relationship between a person’s favorite color and GPA, SPORTS, BIRTHDAY, AGE, and GENDER
Data Collection
To collect data we made a personality survey on www.surveymonkey.com This survey asked the survey takers gender,
age, birthday, GPA, whether or not they play a sport, whether they are quiet or outgoing, how willing they are to put others before themselves (scale of 1-4, 1 being least likely), and to pick three personality attributes
This survey was posted on www.facebook.com
Procedure
We had 202 subjects respond to our survey, and after collecting all of our data, we randomly selected one data set using a random number generator on a calculator and used every other one after that.
To get the conditions of our tests to work, we combined certain categories. (Orange-Yellow, Pink-Red, Black-Purple)
Then we chose to conduct 3 Chi Squared tests and 1 t-test that worked with our data
Tests and Intervals
Chi Squared Test of Independence (3 times) Gender vs. Color Sociability vs. Color Sports vs. Color
1 Sample t-Test GPA
Color Meaning
Color meaning or color symbolism is the use of color to represent traditional, cultural, or religious ideas, concepts or feelings 0r to evoke physical reactions.
Colors can say something without using words.
Black => Death
White => Peace
Green => Growth
Red => Danger
Yellow => Caution
Blue => Loyalty
Color Meaning
Red: Excitement, energy, passion,
love, desire, speed, strength, power, heat, aggression, danger, fire, blood, war, violence, all things intense and passionate
Pink: Love and romance, caring,
tenderness, acceptance and calm.
Yellow: Joy, happiness, betrayal,
optimism, idealism, imagination, hope, sunshine, summer, gold, philosophy, dishonesty, cowardice, jealousy, covetousness, deceit, illness, hazard and friendship.
Orange: Energy, balance, enthusiasm,
warmth, vibrant, expansive, flamboyant, demanding of attention
Green: Nature, environment, healthy,
good luck, renewal, youth, spring, generosity, fertility, jealousy, inexperience, envy, misfortune, vigor
Color Meaning (cont.)
Blue: Peace, tranquility, cold, calm,
stability, harmony, unity, trust, truth, confidence, conservatism, security, cleanliness, order, loyalty, sky, water, technology, depression, appetite suppressant.
Purple: Royalty, nobility, spirituality,
ceremony, mysterious, transformation, wisdom, enlightenment, cruelty, arrogance, mourning.
Brown: Earth, stability, hearth, home,
outdoors, reliability, comfort, endurance, simplicity, and comfort.
Black: Power, sexuality, sophistication,
formality, elegance, wealth, mystery, fear, evil, unhappiness, depth, style, evil, sadness, remorse, anger, anonymity, underground, good technical color, mourning, death
White: Reverence, purity, birth,
simplicity, cleanliness, peace, humility, precision, innocence, youth, winter, snow, good, sterility, marriage, death, cold, clinical.
Color vs. Gender
Of all teens: 21% - Blue
▪ 47.6% Female▪ 52.38% Male
14% - Green▪ 42.86% Female▪ 57.14% Male
26% - Purple/ Black▪ 76.9% Female▪ 23.07% Male
25%- Red/ Pink▪ 80% Female▪ 20% Male
14% - yellow/ Orange▪ 57.14% Female
42.8% Male
Collection 1
RowSummary
Column Summary
Gender
m
Gender
F
Blue
green
Purple
red
yellow
Color
10
0.47619
0.15625
11
0.52381
0.305556
6
0.428571
0.09375
8
0.571429
0.222222
20
0.769231
0.3125
6
0.230769
0.166667
20
0.8
0.3125
5
0.2
0.138889
8
0.571429
0.125
6
0.428571
0.166667
64
0.64
1
36
0.36
1
21
1
0.21
14
1
0.14
26
1
0.26
25
1
0.25
14
1
0.14
100
1
1
S1 = countS2 = row proportionS3 = columnproportion
Blue
green
Purple
red
yellow
Frequency of ColorGender
4 8 12 16 20F
0 4 8 12 16 20m
count
Collection 1 Bar Chart
When we compared the conditional to the marginal percents, the numbers were not similar so Gender and Color are dependent on each other
Color vs. Gender
Our cell counts were not >5 so we had to combine the colors black and purple, red and pink and yellow and orange They had similar
meanings In our Survey we
had 64 females and 36 males
5
10
15
20
25
30
Color
Blue green Purple red yellow
count
Collection 1 Bar Chart
Chi Squared Test of Independence between Color and Gender
Check: Color and Gender
are categorical variables
Stated random All cell counts >
or = 5
State:
Categorical DataSRSAll expected cell counts > or = 5
All Conditions met -> Chi Squared distribution -> Chi Squared Test of Independence
Chi Squared Test of Independence between Color and Gender
Ho: There is no relationship between color and gender
HA: There is a relationship between color and gender
11.10...0.9
)0.96(
4.13
)4.1310(
exp
exp)( 2222
obs
P(X2 > 10.11/ df= 4) = .039 We reject Ho because the p-value of .039 is <
alpha= .05. We have sufficient evidence that there is a relationship between color and gender.
Color vs. Sociability
Collection 1
RowSummary
Column Summary
Socialablity
Quiet
Socialablity
Outgoing
Blue
green
Purple
red
yellow
Color
17
0.809524
0.265625
4
0.190476
0.111111
0
0
0
14
1
0.388889
21
0.807692
0.328125
5
0.192308
0.138889
17
0.68
0.265625
8
0.32
0.222222
9
0.642857
0.140625
5
0.357143
0.138889
64
0.64
1
36
0.36
1
21
1
0.21
14
1
0.14
26
1
0.26
25
1
0.25
14
1
0.14
100
1
1
S1 = countS2 = row proportionS3 = columnproportion
Of all teens: 21% - Blue
▪ 80.9% Outgoing▪ 19.0% Quiet
14% - Green▪ 0.0% Outgoing▪ 100% Quiet
26% - Purple/ Black▪ 80.76%
Outgoing▪ 19.23% Quiet
25%- Red/ Pink▪ 68% Outgoing▪ 32% Quiet
14% - yellow/ Orange▪ 64.28%
Outgoing35.71% Quiet
Blue
green
Purple
red
yellow
Frequency of ColorSocialablity
4 8 12 16 20Outgoing
0 4 8 12 16 20Quiet
count
Collection 1 Bar Chart
When we compared the conditional to the marginal percents, the numbers were not similar so Sociability and Color are dependent on each other
Color vs. Sociability
We asked people to either describe themselves as outgoing or quiet
And we wanted to see if there was a relationship between color and their sociability
10
20
30
40
50
60
70
Socialablity
Outgoing Quiet
count
Collection 1 Bar Chart
Chi Squared Test of Independence between Color and Sociability
State:
Categorical DataSRSAll expected cell counts > or = 5
Check: Color and Sociability
are categorical variables
Stated random All cell counts > or = 5
All Conditions met -> Chi Squared distribution -> Chi Squared Test of Independence
We reject Ho because the p-value of .00001 is < alpha= .05. We have sufficient evidence that there is a relationship between color and sociability.
Chi Squared Test of Independence between Color and Sociability Ho: There is no relationship between color and sociability
HA: There is a relationship between color and sociability
86.30...0.9
)0.90(
4.13
)4.1317(
exp
exp)( 2222
obs
P(X2 >30.86/ df= 4) = <.00001
Color vs. Sports
Of all teens: 21% - Blue
▪ 38.09% No▪ 61.90% Yes
14% - Green▪ 42.86% No▪ 57.14% Yes
26% - Purple/ Black▪ 46.15% No▪ 53.84% Yes
25%- Red/ Pink▪ 52% No▪ 48% Yes
14% - Yellow/ Orange▪ 64.29% No
35.71% yes
Collection 1
RowSummary
Column Summary
Sport
Yes
Sport
No
Blue
green
Purple
red
yellow
Color
8
0.380952
0.166667
13
0.619048
0.25
6
0.428571
0.125
8
0.571429
0.153846
12
0.461538
0.25
14
0.538462
0.269231
13
0.52
0.270833
12
0.48
0.230769
9
0.642857
0.1875
5
0.357143
0.0961538
48
0.48
1
52
0.52
1
21
1
0.21
14
1
0.14
26
1
0.26
25
1
0.25
14
1
0.14
100
1
1
S1 = countS2 = row proportionS3 = columnproportion
Blue
green
Purple
red
yellow
Frequency of ColorSport
4 8 12 16No
0 4 8 12 16Yes
count
Collection 1 Bar Chart
When we compared the conditional to the marginal percents, the numbers were similar so Sports and Color are independent on each other.
Color vs. Sports
We wanted to see if playing a sport influenced your favorite color
10
20
30
40
50
60
Sport
No Yes
count
Collection 1 Bar Chart
Chi Squared Test of Independence between Color and Sports
State:
Categorical DataSRSAll expected cell counts > or = 5
Check: Color and Sports
are categorical variables
Stated random All cell counts >
or = 5
All Conditions met -> Chi Squared distribution -> Chi Squared Test of Independence
Chi Squared Test of Independence between Color and Sports
Ho: There is no relationship between color and sociability
HA: There is a relationship between color and sociability
657.2...7.6
)7.66(
1.10
)1.108(
exp
exp)( 2222
obs
P(X2 >2.657/ df= 4) = .62
We fail to reject Ho because the p-value of .62 is > alpha= .05. We have sufficient evidence that there is not a relationship between color and sociability.
GPA
Shape: Unimodal, left skewed
Center: Median 3.8
Spread: IQR .355
10
15
20
25
GPA
0 1 2 3 4 5 6
Collection 1 Histogram
1 Sample T-Test on GPA
STATE SRS Pop > 10n Normal population
or n > 30
CHECK Assumed Population of
Highschool students > 1000
100 > 30
All conditions met – Student’s T distribution – 1 Sample T Test
1 Sample T-Test on GPA
xt
s
n
=
9.471 27.3:
27.3:0
AH
H
P(t not=9.471/ df= 99) = <.00001
We reject Ho because the p-value of .00001 is < alpha= .05. We have sufficient evidence that the mean GPA of high school students is not equal to 3.27.
Application of Findings
After analyzing our data and conducting our tests… we concluded that … Female teenagers are more likely to favor the
colors: Purple/ Black, Red/ Pink and Yellow/ Orange
Male teenagers favor the color Green And the color blue was equally favored between
females and males Therefore, color is Dependent on Gender Color is dependent on Sociability But Color is independent of if they play a sport
Bias/ Error
We posted our survey on different college groups on facebook. We could have posted it on other websites as well to get a greater sample
We had to group some of the favored colors to satisfy conditions
We had 64 females and 34 males, it would have been better if we had more male subjects
Conclusions
Our results matched our predictions that Color would be dependent on Gender and we were surprised to find that Color was also dependent on your Sociability. It is possible that more outgoing people pick brighter colors?
We had also predicted that Sports would not have an association with color
We were also hoping to relate Zodiac signs to color, but we couldn’t make the conditions check out it would have been better if we had a larger sample.