SIGFY Story Examples

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SIGFY Story Examples

• Ai-Chu Wu, Ph.D.
• SSU Math Seminar
• March 11, 2007

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Objective

• Think about a real-life story that demonstrates
  (SIGFY)
• Statistics Is Good For You.
• Show us a power point slide presentation with slides.
• Tell us in
• Write it up in

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Why did I create SIGFY stories?

• To show the
• Power
• Use
• Beauty
• of Statistics

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Why did I create SIGFY stories?

• Extra Credit Opportunity
• Stories for Publication
• Fun in Learning Statistics

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How do I choose SIGFY Stories?

• Relate to Learning Topic
• Close to Home and Heart
• Our Own Stories Are The Best!

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What is in a SIGFY Story?

• Follow My Favorite Recipe
• Question
• Data
• Analysis
• Conclusion

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What is in a SIGFY Story?

• Practice Our Texts Theme
• Think
• Show
• Tell

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The Storyteller Has to

• Identify the question (s)he asked.
• Collect the data needed.
• Analyze with correct graphs/statistics.
• Make confident conclusions.
• Present orally and in writing.

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The Audience

• Listen Attentively
• Provide Valuable Feedback

• What did you like the most?
• What suggestions can you make?

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My SIGFY Story

• Displaying Categorical Data
• Q Which restaurant is dirty?
• D Health Critical Violations of Top 10
  Restaurants, TV report
• A Frequency Table Bar Chart
• C I will avoid these restaurants.

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Critical Violations
TV Report, 9/26/2004

• Waffle House 594
• Ruby's Tuesday 514
• IHOP 513
• TGI Fridays 490
• Apple Bees 446
• Outback 418
• Chili's 402
• Red Lobsters 350
• Bob Evans 315
• Denny 296
• Frequency Table

Suggestion for improvement?
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Komrons Story

• Displaying Categorical Data
• Q Which toothpaste is most recommended by
  dentists?
• D Call 30 local dentists
• A Bar Chart/Frequency Table
• C I will take their advice.

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Bar Chart Frequency Table
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SIGFY Story Komron ShahhosseiniDr. Wu, Stats
T,Th l0 am I was brushing my teeth the other day
when I heard a toothpaste commercial come on the
television in the other room. It was a Colgate
commercial, which claimed that it had the most
recommended toothpaste by dental professionals. I
was using Crest brand toothpaste at that moment
and wondered if the commercial was really correct
in their claim. Incidentally, I was in need of a
subject for this project, so I took it upon
myself to investigate the statement and prove it
as valid. I used the yellow pages to call my
sample of thirty local dentists' offices. I
rarely spoke to an actual dentist, but the staff
was happy to accommodate me. I used four of the
leading types of toothpaste and was trying to
decide which one was most effective. Colgate
Total was chosen an overwhelming 60 of the time
with 18 recommendations. Coming in second with 8
recommendations was Crest Extra Whitening with
Tartar Protection. Sensodyne had three
recommendations and Aquafresh had the least with
only one.
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Given my sample I was able to conclude that the
commercial was correct in stating that Colgate
Total is the most recommended brand and type of
toothpaste. Certain aspects of my study troubled
me after I sat down to put all my data in graph
form and analyze it. First was that I wasn't
actually talking to Dentists, mostly with their
staff. This could result in giving me false
recommendations based on nonprofessional
preference. Another aspect that concerned me was
the locality of my sample. I kept very local to
cut down on long distance charges and because I
was lacking a phonebook with national dentists
phone numbers! Because this is a national and
even international product I would need to take
sample data from dentists all over the United
States and possibly even the world. Unfortunately
I don't have the resources or the time to take on
a study of such magnitude. Something tells me
that Colgate might have done so before they aired
their commercial anyway. When all is said and
done, I'm convinced and have switched toothpaste
brands. Page 2
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My Daughters Story

• Relation Between Two Categorical Variables
• Q Where should we go trick-or-treating? Which
  place has more and better candies?
• D Places and Types of Candy 6 Ws
• A Contingency Table and Bar Chart
• Conclusion See for yourself!

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The 6 Ws of Data

• Why To decide where to trick-or-treat
• Who Candies from trick-or-treat
• What Type and Place
• When Oct. 31, 1995
• Where School and Home

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How

• Two sisters 12 13 years old
• Similar looks and heights
• Wear the same costumes
• Start and end at the same time
• Use the same bags for candies
• Sort, count, and record in kitchen with mom and
  brother (8 years old)

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Where to go for Trick or Treat? Contingency
Table

• Places
• Candy Types School Home Row Total
• Star-bust 12 10 22
• Chocolates 32 9 41
• Tootsie Rolls 56 34 90
• Others 137 77 214
• Column Total 237 130 367

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(No Transcript)
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UC Berkeley Story

• Simpsons Paradox
• Q Was there gender discrimination?
• D School admission record
• A Contingency tables
• C What do you think?

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A Two-way Contingency Table
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A Three-Way Table (Reason for Simpsons Paradox)
C Is There Gender Discrimination?
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Elizabeth Cozzo

• Displaying Quantitative Data
• Q How does ozone change over time?
• D Textbook and Source Data
• A Side-by-side Boxplots from text/her
• C Who is right?

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Side-by-Side Boxplots p. 92 of Text
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(No Transcript)
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Elizabeths Conclusions

• Higher ozone level in summer
• Unit parts per billion (ppb) not ppm
• SIGFY New program at work Praise
  and pride at work
• SIGFY Story SequelShe used two-sample t-tests
  and was included in NASAs final report.

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What have we learned?

• SIGFY Stories show SIGFY.
• If you believe in everything in the book, you
  are better off without the book.
  ---Mencius

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Summary

• SIGFY _______.
• SIGFY shows the _____ of Statistics
• SIGFY includes __, __, __, __.
• SIGFY takes __, __, __.
• Which story is your favorite? Why?
• Questions? Feedback?