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    Overview of Statistics

    What is Statistics?Why Study Statistics?

    Uses of Statistics

    Statistical Challenges

    Writing and Presenting Reports

    Statistical Pitfalls

    Statistics: An Evolving Field

    Chapter

    1

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    What is Statistics?

    Statistics is the science of collecting, organizing,

    analyzing, interpreting, and presenting data.

    A statisticis a single measure (number) used tosummarize a sample data set. For example, the

    average height of students in this class.

    A statisticianis an expert with at least a masters

    degree in mathematics or statistics or a trained

    professional in a related field.

    McGraw-Hill/Irwin 2007 The McGraw-Hill Companies, Inc. All rights reserved.

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    Why Study Statistics?

    Communicat ion

    Compu ter Ski lls

    Understanding the language of statistics facilitates

    communication and improves problem solving.

    The use of spreadsheets for data analysis and word

    processors or presentation software for reportsimproves upon your existing skills.

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    Why Study Statistics?

    Info rmat ion Management

    Technical L i teracy

    Statistics help summarize large amounts of data

    and reveal underlying relationships.

    Career opportunities are in growth industries

    propelled by advanced technology. The use ofstatistical software increases your technical

    literacy.

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    Why Study Statistics?

    Career Advancement

    Quali ty Improvement

    Statistical literacy can enhance your career mobility.

    Statistics helps firms oversee their suppliers,

    monitor their internal operations and identifyproblems.

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    Uses of Statistics

    Two p r imary u ses for statis t ics:

    Descriptive statistics the collection, organization,

    presentation and summary of data.

    Inferential statistics generalizing from a sample

    to a population, estimating unknown parameters,

    drawing conclusions, making decisions.

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    Uses of Statistics

    Overview o f Stat ist ic s

    Statistics

    Describing

    DataMaking Inferences

    from Samples

    Visual

    Displays

    Numerical

    Summaries

    Estimating

    Parameters

    Testing

    Hypotheses

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    Uses of Statistics

    Audi t ing

    Marketing

    Sample from over 12,000 invoices to estimate the

    proportion of incorrectly paid invoices.

    Identify likely repeat customers for Amazon.comand suggests co-marketing opportunities based

    on a database of 5 million Internet purchases.

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    Uses of Statistics

    Health Care

    Purchasing

    Evaluate 100 incoming patients using a 42-item

    physical and mental assessment questionnaire.

    Determine the defect rate of a shipment andwhether that rate has changed significantly over

    time.

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    Uses of Statistics

    Medicine

    Forecast ing

    Determine whether a new drug is really better

    than the placebo or if the difference is due to

    chance.

    Manage inventory by forecasting consumerdemand.

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    Statistical Challenges

    Is technically current (e.g., software-wise).

    Communicates well. Is proactive.

    Has a broad outlook.

    Is flexible.

    Focuses on the main problem.

    The Ideal Statist ic ian

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    Statistical Challenges

    Meets deadlines.

    Knows his/her limitations and is willing to ask for help.

    Can deal with imperfect information.

    Has professional integrity.

    The Ideal Statist ic ian

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    Statistical Challenges

    Work ing w ith Imperfect Data

    Deal ing w ith Pract ical Constraints

    State any assumptions and limitations and use

    generally accepted statistical tests to detect

    unusual data points or to deal with missing data.

    You will face constraints on the type and quantityof data you can collect.

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    Statistical Challenges

    Upho lding Ethical Standards

    Using Consu l tants

    Know and follow accepted procedures, maintain

    data integrity, carry out accurate calculations,

    report procedures, protect confidentiality, citesources and financial support.

    Hire consultants at the beginningof the project,when your team lacks certain skills or when an

    unbiased or informed view is needed.

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    Statistical Challenges

    Ski lls Needed fo r Success in Bus iness

    Forinitial

    job success

    Forlong-range

    job success

    Most common

    weaknesses

    Report-writing Managerial accounting Communication skills

    Accounting principles Managerial economics Writing skills

    Mathematics Managerial finance Immaturity

    Statistics Report writing Unrealistic expectations

    Oral communication

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    Writing and Presenting Reports

    Rules for Power Wri t ing

    Outline the report before you begin.

    Complete the report in sections.

    Ask trusted peers to review the report and make

    any necessary revisions.

    Be prepared to make multiple revisions.

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    Writing and Presenting Reports

    Writ ing Style

    Answer research question succinctly.

    List most important results first.

    Include section headings and avoid lengthy

    paragraphs.

    Provide clear data sources.

    Use appendices for technical information.

    Be stylistically consistent.

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    Writing and Presenting Reports

    Avoid Jargon

    Spel ling and Grammar

    Present technical concepts so that others can

    understand them.

    Dont rely on software to catch all spelling and

    grammar errors.

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    Writing and Presenting Reports

    Make it Attract ive

    Descriptive title.

    Date

    Author(s)

    Page number.

    Wide margins.

    Typeface and point size. Bullets and subheadings.

    Bold face, italics, color.

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    Writing and Presenting Reports

    Organizing a Techn ical Repo rt

    Typical business report style includes:

    Executive Summary (1 page maximum)

    - Briefly describe task and goals, data anddata sources, methods that were used,

    main findings and any limitations.

    Introduction (1 to 3 paragraphs)

    - Statement of the problem

    - Data sources and definitions

    - Methods utilized

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    Writing and Presenting Reports

    Organizing a Techn ical Repo rt

    Typical business report style includes:

    Body of the Report (as long as necessary)

    - Discussion, explanations, interpretations- Tables and graphs, as needed

    Conclusions (1 to 3 paragraphs)

    - Statement of findings (in order of importance)- Limitations (if necessary)

    - Future research suggestions

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    Writing and Presenting Reports

    Organizing a Techn ical Repo rt

    Typical business report style includes:

    Bibliography and Sources

    Appendices (if needed for lengthy or technical

    material)

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    Writing and Presenting Reports

    Tables and Graphs

    Embed in the narrative

    near the paragraph in

    which they are interpreted.

    Number and title each table

    above the table, each graphbelow the graph

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    Writing and Presenting Reports

    Rules for Present ing Oral Repo rts

    Select a few key points to convey.

    Use simple charts and diagrams.

    Emphasize using color and fonts creatively.

    Have backup slides or transparencies.

    Rehearse timing. Refer audience to written report for details.

    Imagine yourself in the audience.

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    Writing and Presenting Reports

    Pictures Help Make the Poin t

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    Writing and Presenting Reports

    The Three Ps

    Pace yourself when presenting. Take your time,

    introduce yourself, your data and your project.

    Make the first minute count.

    Plan what your are going to present. Organize

    your ideas with an outline. Keep it simple!

    Practice before presenting to get the timing right.

    Consider videotaping yourself or practicing in front

    of peers.

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    Statistical Pitfalls

    Pitfall 3: Attaching Importance to RareObservations from Large Samples

    Pitfall 4: Using Poor Survey Methods

    Be careful about drawing strong inferences from

    events that are not surprising when looking at theentire population (e.g., winning the lottery).

    Be careful about using poor sampling methods or

    vaguely worded questions (e.g., anonymous

    survey or quiz).

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    Statistical Pitfalls

    Pitfall 5: Assuming a Causal Link Based onObservations

    Pitfall 6: Making Generalizations about

    Individuals from Observations about Groups

    Be careful about drawing conclusions when no

    cause-and-effect link exists (e.g., most sharkattacks occur between 12p.m. and 2p.m.).

    Avoid reading too much into statistical

    generalizations (e.g., men are taller than

    women).

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    Statistical Pitfalls

    Pitfall 7: Unconscious Bias

    Pitfall 8: Attaching Practical Importance to

    Every Statistically Significant Study Result

    Be careful about unconsciously or subtly allowing

    bias to color handling of data (e.g., heart disease

    in men vs. women).

    Statistically significant effects may lack practicalimportance (e.g., Austrian military recruits born in

    the spring average 0.6 cm taller than those born

    in the fall).

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    Statistics: An Evolving Field

    Statistics is a relatively young field, having beendeveloped mostly during the 20th century.

    Its mathematical frontiers continue to expand with the

    aid of computers.

    Major recent developments include

    - Exploratory data analysis (EDA)

    - Computer-intensive statistics

    - Design of experiments- Robust product design

    - Advanced Bayesian methods

    - and more

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    Applied Statistics inBusiness and Economics

    End of Chapter 1