colleen kempf & danielle zolotnitsky. ancient greeks position of sun, moon, and planets ...
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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.
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
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