Colleen Kempf &Danielle Zolotnitsky

Ancient Greeks Position of sun, moon, and

planets Possible influences/not the

future Phone and facebook apps,

websites, newspapers, etc. LA Times, Psychic Linda

Black Rate each day on a scale

of 1-10 and give prediction

Linda Black

Are all the different ratings from 4-10 equally likely to occur overall?

Does zodiac sign affect the rating? Does zodiac sign affect which areas of life

are of most concern?

Procedure and Variables 50 random numbers from

1 to 120 Choose the

corresponding weeks from the horoscope archives and analyze Test 1: used numbers 4-10 Test 2: used scale of

very high (v) = 9-10 High (h) = 7-8 Medium (m) = 5-6 Low (l) = 4

Test 3: used variables for area H = health/energy L = love S = social/friendships W = work/power M = money E = other emotions

Conduct Tests and Intervals

Collection 2

sign rating type rating2 <new>

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

Aq 9 L v

Aq 9 W v

Aq 9 S v

Aq 6 S m

Aq 6 M m

Aq 7 M h

Aq 7 H h

Aq 6 L m

aq 6 W m

aq 7 L h

aq 7 S h

Aq 8 S h

Aq 8 S h

Aq 7 E h

Aq 8 M h

Aq 8 H h

Aq 5 H m

Aq 6 S m

Aq 8 S h

Aq 6 M m

Aq 10 L v<new filter>

Collection 2

sign rating type rating2 <new>580

581

582

583

584

585

586

587

588

589

590

591

592

593

594

595

596

597

598

599

600

S 8 L h

S 6 M m

S 8 L h

S 8 L h

S 6 M m

S 7 L h

S 8 W h

S 7 H h

S 9 S v

S 8 S h

S 4 H l

S 7 E h

S 6 H m

S 7 M h

S 6 S m

S 6 L m

S 9 W v

S 6 S m

S 7 L h

S 6 M m

S 8 H h

<new filter>

Sign Distribution

count

10

20

30

40

50

60

Aq Ar C Cp G L Li P S Sc T V

sign

Collection 2 Bar Chart Collection 2

Column Summary

Aq

Ar

C

Cp

G

L

Li

P

S

Sc

T

V

sign

50

50

50

50

50

50

50

50

50

50

50

50

600

S1 = count

Chi-Square Goodness of Fit Test Conditions:

Categorical data --- Horoscope ratings are categorical

SRS --- 600 random ratings All cell counts > 5 --- all exp. cell counts > 5

All conditions met >> χ² distribution >> χ² GOF test

Hypotheses: Ho: Ratings are uniformly distributed

Ha: Ratings are not uniformly distributed

+ = 352.2

P ( >352.2|df=6)=0.0001

exp

exp)( 22

obs 2(55 85.714)

85.714

2(8 85.714)

85.714

2

We reject the Ho because the p-value of 0.001 is less than the alpha value of .05. We have sufficient evidence that ratings are not uniformly distributed.

20

40

60

80

100

120

140

160

180

rating

0 2 4 6 8 10 12

Collection 2 Histogram Collection 2

rating

6.9816667

4

6

7

8

10

S1 = meanS2 = minS3 = Q1S4 = medianS5 = Q3S6 = max

Chi-Square Independence test Conditions:

2 Independent SRS--- yes, known All cell counts > 5 --- all exp. cell counts > 5

All conditions met >> χ² distribution >> χ² Independence test

Hypotheses: Ho: There is no association between sign and rating

Ha: There is an association between sign and rating

=37.38 P( >37.38|df=33)=0.27

exp

exp)( 22

obs

2(29 23.9)

23.9

2(28 23.9)

23.9

2

We fail to reject the Ho because the p-value of 0.27 is greater than the alpha value of .05. We have sufficient evidence that there is no association between sign and rating.

Aq

Ar

CC

pG

LLi

PS

Sc

TV

0 2 4 6 8 10 12

rating

Collection 2 Box Plot

Collection 2

RowSummary

signsignsignsignsignsignsignsignsignsignsign

Ar C Cp G L Li P S Sc T V

sign

Aq

rating50

7.32

50

6.88

50

6.82

50

7.08

50

6.64

50

7.12

50

6.72

50

7.14

50

7.14

50

6.8

50

7.24

50

6.88

600

6.9816667

S1 = countS2 = mean

What’s your sign’s mean rating?

Chi-Square Independence test Conditions:

2 Independent SRS--- yes, known All cell counts > 5 --- all exp. cell counts > 5

All conditions met >> χ² distribution >> χ² Independence test

Hypotheses: Ho: There is no association between sign and area

Ha: There is an association between sign and area

=32.04 P( >32.04|df=55)=.99

exp

exp)( 22

obs

2(9 8.2)

8.2

2(10 8.2)

8.2

2

We fail to reject the Ho because the p-value of 0.99 is greater than the alpha value of .05. We have sufficient evidence that there is no association between sign and area.

ArC

AqCp

LLiGSPT

ScV

Frequency of signtype

6 12E

0 6 12H

0 6 12L

0 6 12M

0 6 12S

0 6 12W

count

Collection 2 Bar Chart

count

20

40

60

80

100

120

140

E H L M S W

type

Collection 2 Bar Chart Collection 2

Column Summary

E

H

L

M

S

W

type

98

86

124

79

123

90

600

S1 = count

Application to Population The ratings of horoscopes are not

evenly distributed; they are quite inflated toward the positive side

Each sign has a different “personality”, but that does not warrant for an association between sign and rating

All because one is a specific sign, they cannot expect more horoscopes based upon a certain genre

Some could have discrepancies with our scale of goodness; very high (9-10), high (7-8), medium (5-6), and low (4)

Areas fall under two categories

No days below a “4”

We don’t believe in horoscopes No rating below 4, don’t want to give

people negative days Claim that each zodiac sign makes a

person different, but according to this study, all areas of concern and daily ratings are roughly the same

Activity-Yesterday’s Horoscope

Today's birthday (01/09/11). Your generous nature springs up this year. Your leadership skills are sprouting, even if you didn't know you had them. Together they provide an excellent frame for making a difference in your world. You don't have to do it all alone. And don't forget to take care of yourself.

Aries (March 21-April 19) -- Today is a 5 -- It's a great day to focus on completing the projects at work that you've been procrastinating about. Take time to organize, and it goes faster.

Taurus (April 20-May 20) -- Today is an 8 -- Work produces additional exciting income opportunities. You may have to travel. Take special care of your health, and don't forget to breathe.

Gemini (May 21-June 21) -- Today is an 8 -- Align your decisions logically, and support them with facts. Eat healthy, delicious foods, avoiding fish with high mercury content. Nurture yourself.

Cancer (June 22-July 22) -- Today is a 7 -- Look first and then spring into action. Go on a trip, maybe. Take a bike ride. Let the wind blow in your face. Take it all in as you play.

Leo (July 23-Aug. 22) -- Today is a 5 -- It's a great day to finish projects at home, whether fixing a hole where the rain gets in, or just doing the laundry. Archive family photos to share, maybe.

Virgo (Aug. 23-Sept. 22) -- Today is a 6 -- A problem is solved with logic, and you learn from any mistakes. Get assistance from a loved one. It's a good day for romance. Light some candles.

Libra (Sept. 23-Oct. 22) -- Today is a 6 -- Words come easily today, including standards like "thanks" and "I love you." Use them to add flavor and appreciation to projects, relationships and mealtimes.

Scorpio (Oct. 23-Nov. 21) -- Today is an 8 -- You don't need to travel far. Use your imagination to go anywhere you want. It's a great day to write down a business plan or invent new possibilities.

Sagittarius (Nov. 22-Dec. 21) -- Today is an 8 -- Opportunity knocks, so open the door. You may just fall in love all over again. Everything's lining up, and you're producing with ease and grace.

Capricorn (Dec. 22-Jan. 19) -- Today is a 6 -- You find the energy to do something you always wanted to do. It's a time for renewal and deeper understanding of yourself, so allow this splurge.

Aquarius (Jan. 20-Feb. 18) -- Today is a 7 -- A career opportunity shows up. Make sure that it's for real and not just an illusion. Money could be coming your way.

Pisces (Feb. 19-March 20) -- Today is a 6 -- Life is good. You can handle all obstacles today. It's a great time to find lost friends. Others want what you have. Share, but also be willing to accept.

Activity-Yesterday’s Horoscope