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Horoscopes. Colleen Kempf & Danielle Zolotnitsky. Why We Chose Horoscopes. 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
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Horoscopes Colleen Kempf & Danielle Zolotnitsky
Why We Chose Horoscopes • 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
Archives Sample
What We’re Testing • 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?
How we went about it 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
How we went about it • 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
Test #1: Frequency of Each Rating • 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 >> χ²distribution >> χ²GOF test • Hypotheses: Ho: Ratings are uniformly distributed Ha: Ratings are not uniformly distributed + = 352.2 P ( >352.2|df=6)=0.0001
Conclusion • We reject the Ho because the p-value of 0.001is less than the alpha value of .05. We have sufficient evidence that ratings are not uniformly distributed.
Test #2: Sign vs. Rating • Chi-Square Independence test • Conditions: • 2 Independent SRS--- yes, known • All cell counts > 5 --- all exp. cell counts > 5 • All conditions met >> χ²distribution >> χ²Independence 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
Conclusion • 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.
Exploratory DATA ANALYSIS GRAPH: What’s your sign’s mean rating?
Test #3: Sign vs. Area of Concern • Chi-Square Independence test • Conditions: • 2 Independent SRS--- yes, known • All cell counts > 5 --- all exp. cell counts > 5 • All conditions met >> χ²distribution >> χ²Independence 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
Conclusion • 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.
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
Error/Bias • 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”
Conclusion/personal opinion • 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.
Activity-Yesterday’s Horoscope 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.