building a better twinkie a mixture design problem katherine l. monti, ph.d. r principal statistical...

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Building a Better Twinkie A Mixture Design Problem Katherine L. Monti, Ph.D. r Principal Statistical Scientist, Rho, Inc. k March 12, 2011

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Page 1: Building a Better Twinkie A Mixture Design Problem Katherine L. Monti, Ph.D. r Principal Statistical Scientist, Rho, Inc. k March 12, 2011

Building a Better Twinkie—

A Mixture Design Problem

Katherine L. Monti, Ph.D.r

Principal Statistical Scientist, Rho, Inc. k

March 12, 2011

Page 2: Building a Better Twinkie A Mixture Design Problem Katherine L. Monti, Ph.D. r Principal Statistical Scientist, Rho, Inc. k March 12, 2011

Why Statistics? Why Biostatistics?

• Math • Earning power $ $ $ was not in math

• Variety of non-math courses

• Math + Applications Statistics

• Forestry, biology, education, anthropology, finance and economics, sociology, manufacturing, advertising, ….

• Epidemiology, health sciences, medicine, drug development,

Page 3: Building a Better Twinkie A Mixture Design Problem Katherine L. Monti, Ph.D. r Principal Statistical Scientist, Rho, Inc. k March 12, 2011

Where I’ve Been and Why

• UNC Sch. of Public Health -- Chapel Hill • University of Missouri - St. Louis

Department of Mathematics & Computer Science

• Ralston Purina Company

• Ciba Corning Diagnostics Corporation

• Astra Pharmaceuticals

• Rho, Inc.• Along the way – a little independent consulting

Page 4: Building a Better Twinkie A Mixture Design Problem Katherine L. Monti, Ph.D. r Principal Statistical Scientist, Rho, Inc. k March 12, 2011

I wanted variety

• I got variety!

• Some of the projects I’ve worked on over the decades.

Page 5: Building a Better Twinkie A Mixture Design Problem Katherine L. Monti, Ph.D. r Principal Statistical Scientist, Rho, Inc. k March 12, 2011

Projects

• Energy review system (Ralston) – Simple review of energy usage, external temperature, and

production saved millions of dollars a year per plant

Energy use = a + b (external temperature) + c (tons*)

* Tons of pet food or cereal produced

Page 6: Building a Better Twinkie A Mixture Design Problem Katherine L. Monti, Ph.D. r Principal Statistical Scientist, Rho, Inc. k March 12, 2011

Projects• Effects of weight gain restriction in Labrador retrievers

(Ralston): DG448—only long-term, large mammal study investigating the health and longevity advantages of lean body mass (achieved in dogs by diet restriction)

Page 7: Building a Better Twinkie A Mixture Design Problem Katherine L. Monti, Ph.D. r Principal Statistical Scientist, Rho, Inc. k March 12, 2011

Projects

• Feline reproduction (Ralston): a publication of simple summary of data from Ralston cattery has become a classic paper in veterinary medicine

Page 8: Building a Better Twinkie A Mixture Design Problem Katherine L. Monti, Ph.D. r Principal Statistical Scientist, Rho, Inc. k March 12, 2011

Projects

• Heritability of feline cardiomyopathy: 25 years of feline reproductive data, 7 generations of ancestors (27 = 128)

– MMMMMMM - MMMMMM …. - MM - M

– MMMMMMF - MMMMMF - MF - F

– MMMMMFM - MMMMFM - FM

– MMMMMFF - MMMMFF - FF

– MMMMFMM …

– MMMMFMF - FFFFFF

– MMMMFFM

– …

– FFFFFFF

Page 9: Building a Better Twinkie A Mixture Design Problem Katherine L. Monti, Ph.D. r Principal Statistical Scientist, Rho, Inc. k March 12, 2011

Projects

• Salary discrimination law suit (Independent consulting)

– Fauteck vs Montgomery Ward, 1970’s and early ‘80s

– Systematically paid women less

• In general, women had more years of experience, longer time with the company, higher education…and a lower salary, for any job category

– ~ $5,000,000 settlement

Page 10: Building a Better Twinkie A Mixture Design Problem Katherine L. Monti, Ph.D. r Principal Statistical Scientist, Rho, Inc. k March 12, 2011

Projects

• Medical instrumentation (Ciba Corning)

– Blood gas machines

– Co-oximeters

– PSA testing

Page 11: Building a Better Twinkie A Mixture Design Problem Katherine L. Monti, Ph.D. r Principal Statistical Scientist, Rho, Inc. k March 12, 2011

Projects

• Drug studies (Astra, Rho): blood pressure, acute pain, chronic pain, kidney disease, Alzheimer’s, opioid-induced constipation, asthma, allergy, AIDS, autism, cancer, traumatic brain injury, arthritis, diabetes….

Page 12: Building a Better Twinkie A Mixture Design Problem Katherine L. Monti, Ph.D. r Principal Statistical Scientist, Rho, Inc. k March 12, 2011

Twinkies

• Studying the ratio of emulsifiers in Hostess Twinkies for optimal springiness (Ralston/Continental Baking)– A mixture design– 3 emulsifiers make up a total of 5% of the recipe– How to decide the proportions of the emulsifiers

Page 13: Building a Better Twinkie A Mixture Design Problem Katherine L. Monti, Ph.D. r Principal Statistical Scientist, Rho, Inc. k March 12, 2011
Page 14: Building a Better Twinkie A Mixture Design Problem Katherine L. Monti, Ph.D. r Principal Statistical Scientist, Rho, Inc. k March 12, 2011

Statisticians Have Variety• Opportunities exist in many fields

• So....you can find one you like and go in that direction

Page 15: Building a Better Twinkie A Mixture Design Problem Katherine L. Monti, Ph.D. r Principal Statistical Scientist, Rho, Inc. k March 12, 2011

It is a great time to be a biostatistician!

• http://www.biostatpharma.com

• Google “biostatistics” “prospective student”

[email protected]

Page 16: Building a Better Twinkie A Mixture Design Problem Katherine L. Monti, Ph.D. r Principal Statistical Scientist, Rho, Inc. k March 12, 2011

When I graduated, I had no idea...

• How much writing I would do and how valuable my high school grammar class would be.

• That I should have taken more chemistry.

• How important team work is.

Page 17: Building a Better Twinkie A Mixture Design Problem Katherine L. Monti, Ph.D. r Principal Statistical Scientist, Rho, Inc. k March 12, 2011

When I graduated, I had no idea...

• How much the field of statistics would continue to grow.

• How much you teach even when you don’t teach.

• How valuable curiosity, common sense, and common courtesy are.