Colorful Personalities

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

http://www.surveymonkey.com/

http://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 =>

DeathWhite => Peace

Green => Growth

Red => Danger

Yellow => Caution

Blue => Loyalty

Color MeaningRed: 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 attentionGreen:

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

100.476190.15625

110.52381

0.305556

60.4285710.09375

80.5714290.222222

200.769231

0.3125

60.2307690.166667

200.8

0.3125

50.2

0.138889

80.571429

0.125

60.4285710.166667

640.64

1

360.36

1

211

0.21

141

0.14

261

0.26

251

0.25

141

0.14

10011

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

ColorBlue green Purple red yellow

count


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(

expexp)( 222

2

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. SociabilityCollection 1

RowSummary

Column Summary

Socialablity

Quiet

Socialablity

Outgoing

Blue

green

Purple

red

yellow

Color

170.8095240.265625

40.1904760.111111

000

141

0.388889

210.8076920.328125

50.1923080.138889

170.68

0.265625

80.32

0.222222

90.6428570.140625

50.3571430.138889

640.64

1

360.36

1

211

0.21

141

0.14

261

0.26

251

0.25

141

0.14

10011


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


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

SocialablityOutgoing Quiet

count


Chi Squared Test of Independence between Color and Sociability


Check: Color and Sociability


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(

expexp)( 222

2

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

80.3809520.166667

130.619048

0.25

60.428571

0.125

80.5714290.153846

120.461538

0.25

140.5384620.269231

130.52

0.270833

120.48

0.230769

90.642857

0.1875

50.357143

0.0961538

480.48

1

520.52

1

211

0.21

141

0.14

261

0.26

251

0.25

141

0.14

10011


Blue

green

Purple

red

yellow

Frequency of ColorSport

4 8 12 16No

0 4 8 12 16Yes

count


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

SportNo Yes

count


Chi Squared Test of Independence between Color and Sports


Check: Color and Sports


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(

expexp)( 222

2

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 .35

5

10

15

20

25

GPA0 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 GPAxt sn

=

9.471 27.3:27.3:0

AHH

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.

Documents

Colorful Personalities