Applied Statistics in Business & Economics, 5th edition David P. Doane and Lori E. Seward Prepared by Lloyd R. Jaisingh Edited: Dr. Tuan Bui & Dr. Binh Pham McGraw-Hill/Irwin Copyright © 2015 by The McGraw-Hill Companies, Inc. All rights reserved. References Textbook: Doane, D. P. & Seward, L. E. (2016). Applied Statistics in Business and Economics (5th ed.). McGraw Hill International Edition. n Recommended readings: Berenson, M. L., David M. L., & Timothy, C. K. (2004). Basic Business Statistics (9th ed.). Prentice-Hall. n Statistical Software: Open-source (JASP, Gretl, R) and/or Excel Peter Dalgaard, Introductory Statistics with R. Springer, (2008) n Chapter 1 Overview of Statistics Chapter Contents 1.1 What is Statistics? 1.2 Why Study Statistics? 1.3 Statistics in Business 1.4 Statistical Challenges 1.5 Critical Thinking 1.6 Softwares 1-3 Chapter 1 Overview of Statistics Chapter Learning Objectives LO1-1: Define statistics and explain some of its uses. LO1-2: List reasons for a business student to study statistics. LO1-3: Explain the uses of statistics in business. LO1-4: State the common challenges facing business professionals using statistics. LO1-5: List and explain common statistical pitfalls. 1-4 What is Statistics? Most people become familiar with probability and statistics through radio, television, newspapers, and magazines. For example, the following statements were found in newspapers: • Ten of thousands parents in Malaysia have chosen StemLife as their trusted stem cell bank. • The death rate from lung cancer was 10 times for smokers compared to nonsmokers. • The average cost of a wedding is nearly $5,000. • In USA, the median salary for men with a bachelor’s degree is $49,982, while the median salary for women with a bachelor’s degree is $35,408. • Globally, an estimated 500,000 children under the age of 15 live with Type 1 diabetes. • Women who eat fish once a week are 29% less likely to develop heart disease. (Unknown resources) What is Statistics? (Unknown resources) 1.1 What is Statistics? Chapter 1 LO1-1 LO1-1: Define statistics and explain some of its uses. • Statistics is the science of collecting, organizing, analyzing, interpreting, and presenting data. • A statistic is a single measure (number) used to summarize a sample data set; for example, the average height of students in a university. 1-7 1.1 What is Statistics? Chapter 1 LO1-1 • For the height of students, a graduation gown manufacturer may need to know the average height for the length of the gowns or an architect may need to know the maximum height to design the height of the doorways of the classrooms. Both the average and the maximum are examples of statistics. • There are two primary kinds of statistics. • Descriptive Statistics refers to the collection, presentation, and summary of data (either using charts and graphs or using numerical summary). • Inferential Statistics refers to the generalizing from a sample to a population, estimating unknown population parameters, drawing conclusions, and making decisions. 1-8 LO1-1 1.1 What is Statistics? • Descriptive Statistics: Chapter 1 price 1-9 LO1-1 1.1 What is Statistics? • Inferential Statistics: Chapter 1 price 1-10 Statistical Analyzing Process START Gathering of Data Classification, Summarization, and Processing of data Presentation and Communication of Summarized information Yes Is Information from a sample? Use sample information to make inferences about the population Statistical Inference No Descripti ve Statistics Draw conclusions about the population characteristic (parameter) under study Use cencus data to analyze the population characteristic under study STOP (Unknown resources) 1.1 What is Statistics? Chapter 1 LO1-1 • Figure 1.1 identifies the tasks and the chapters for each. Figure 1.1 1-12 1.2 Why Study Statistics? Chapter 1 LO1-2 LO1-2: List reasons for a business student to study statistics. • Knowing statistics will make you a better consumer of other people's data analyses. • You should know enough to handle everyday data problems, to feel confident that others cannot “cheat” you with spurious arguments, and to know when you've reached the limits of your expertise. 1-13 1.2 Why Study Statistics? Chapter 1 LO1-2 • Statistical knowledge gives a company a competitive advantage against organizations that cannot understand their internal or external market data. • Mastery of basic statistics gives an individual manager a competitive advantage as one works one’s way through the promotion process, or when one moves to a new employer. • Here are some reasons to study statistics. 1-14 1.2 Why Study Statistics? Chapter 1 LO1-2 Communication Understanding the language of statistics facilitates communication and improves problem solving. Computer Skills The use of spreadsheets for data analysis and word processors or presentation software for reports improves upon your existing skills 1-15 1.2 Why Study Statistics? Chapter 1 LO1-2 Information Management Statistics helps summarize small and large amounts of data and reveal underlying relationships. Technical Literacy Career opportunities are in growth industries propelled by advanced technology. The use of statistical software increases your technical literacy. 1-16 1.2 Why Study Statistics? Chapter 1 LO1-2 Process Improvement Statistics helps firms oversee their suppliers, monitor their internal operations, and identify problems. 1-17 Minicase: Can Statistics Predict Airfares? When you book an airline ticket online, does it annoy you when the next day you find a cheaper fare on exactly the same flight? Or do you congratulate yourself when you get a “good” fare followed by a price rise? n a company called Farecast that examines over 150 billion “airfare observations” and tries to use the data to predict whether or not the fare for a given ticket is likely to rise. n The company’s prediction accuracy so far is estimated at 61 percent (in independent tests) and 75 percent (the company’s tests). n 1.3 Statistics in Business LO1-3: Explain the uses of statistics in business. Chapter 1 LO1-3 Auditing Sample from over 12,000 invoices to estimate the proportion of incorrectly paid invoices. Marketing Identify likely repeat customers for Amazon.com and suggest co-marketing opportunities based on a database of 5 million Internet purchases. 1-19 1.3 Statistics in Business Chapter 1 LO1-3 Health Care Evaluate 100 incoming patients using a 42-item physical and mental assessment questionnaire. Quality Improvement Initiate a triple inspection program, setting penalties for workers who produce poor-quality output. 1-20 1.3 Statistics in Business Chapter 1 LO1-3 Purchasing Determine the defect rate of a shipment and whether that rate has changed significantly over time. Medicine Determine whether a new drug is really better than the placebo or if the difference is due to chance. 1-21 1.3 Statistics in Business Chapter 1 LO1-3 Operations Management Manage inventory by forecasting consumer demand. Product Warranty Determine the average dollar cost of engine warranty claims on a new hybrid engine 1-22 Minicase: Sell Noodles with Statistics? Noodles & Company, a quick casual restaurant, first opened in Colorado in 1995. As of June 2014, they had over 400 restaurants. n They used statistical analysis that provides answers to questions such as: n o o o o o o Should we offer continuity/loyalty cards for our customers? How can we increase the use of our extra capacity during dinner hours? Which new city should we open in? Which location should we choose for the new restaurant? Which meal maximizes the chance that a new customer will return? Does reducing service time increase sales? 1.4 Statistical Challenges Chapter 1 LO1-4 LO1-4: State the common challenges facing business professionals using statistics. The Ideal Data Analyst (should possess these characteristics) • Is technically current (e.g., software-wise). • Communicates well. • Is proactive. 1-24 1.4 Statistical Challenges Chapter 1 LO1-4 The Ideal Data Analyst (should possess these characteristics) • Has a broad outlook. • Is flexible. • Focuses on the main problem. • Meets deadlines 1-25 1.4 Statistical Challenges The Ideal Data Analyst (should possess these characteristics) Chapter 1 LO1-4 • Knows his/her limitations and is willing to ask for help. • Can deal with imperfect information. • Has professional integrity. 1-26 1.4 Statistical Challenges Chapter 1 LO1-4 Imperfect Data and Practical 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 quality of data you can collect. ¨ Missing data ¨ Biased data ¨ low quality data ¨ … 1-28 1.4 Statistical Challenges Chapter 1 LO1-4 Business Ethics Some broad ethical responsibilities of business are • • • Treating customers in a fair and honest manner. Complying with laws that prohibit discrimination. Ensuring that products and services meet safety regulations 1-29 1.4 Statistical Challenges Chapter 1 LO1-4 Business Ethics Some broad ethical responsibilities of business are (continued) • • • • Standing behind warranties. Advertising in a factual and informative manner. Encouraging employees to ask questions and voice concerns about the company’s business practices. Being responsible for accurately reporting information to management. 1-30 1.4 Statistical Challenges Chapter 1 LO1-4 Upholding Ethical Standards Ethical standards for the data analyst: • • • Know and follow accepted procedures. Maintain data integrity. Carry out accurate calculations. 1-31 1.4 Statistical Challenges Chapter 1 LO1-4 Upholding Ethical Standards Ethical standards for the data analyst (continued): • • • • Report procedures faithfully. Protect confidential information. Cite sources. Acknowledge sources of financial support. 1-32 1.4 Statistical Challenges Chapter 1 LO1-4 Using Consultants Hire consultants at the beginning of the project, when your team lacks certain skills or when an unbiased or informed view is needed. Note: Some companies expect their employees to be able to interpret the results of a statistical analysis, even if it was completed by an outside consultant. 1-33 1.4 Statistical Challenges Chapter 1 LO1-4 Communicating with Numbers • • Numbers have meaning only when communicated in the context of a certain situation. Presentation should be such that managers will quickly understand the information they need to use in order to make good decisions. 1-34 Chapter 1 LO1-4 1.4 Statistical Challenges Skills Needed for Success in Business For initial job success (Table 1.1) For long-range job success Common weaknesses Report-writing Managerial accounting Communication skills Accounting principles Managerial economics Writing skills Mathematics Managerial finance Immaturity Statistics Oral communication Unrealistic expectations 1-35 LO1-5: List and explain common statistical pitfalls.. • Statistics is an essential part of critical thinking because it allows us to test an idea against empirical evidence. • Empirical data represent data collected through observation and experiments. • Statistical tools are used to compare prior ideas with empirical data, but pitfalls do occur. Chapter 1 1.5 Critical Thinking 1-36 1.5 Critical Thinking Chapter 1 LO1-5 Pitfall 1: Conclusions from a Small Samples. Be careful about making generalizations from small samples Example: test a new drug with a group of 10 patients and they all showed improvement. Any conclusion? 1-37 1.5 Critical Thinking Chapter 1 LO1-5 Pitfall 2: Conclusions from Nonrandom Samples Be careful about making generalizations from small samples and from retrospective studies of special groups Example: Measure the average height of the basketball team members and infer it to be the average height of the entire school. 1-38 1.5 Critical Thinking Chapter 1 LO1-5 Pitfall 3: Conclusions from Rare Events Be careful about drawing strong inferences from events that are not surprising when looking at the entire population (e.g., winning the lottery). Pitfall 4: Poor Survey Methods Be careful about using poor sampling methods or vaguely worded questions (e.g., anonymous survey or quiz). 1-39 1.5 Critical Thinking Pitfall 5: Assuming a Causal Link Chapter 1 LO1-5 1-40 1.5 Critical Thinking Pitfall 5: Assuming a Causal Link Chapter 1 LO1-5 1-41 1.5 Critical Thinking Pitfall 5: Assuming a Causal Link Chapter 1 LO1-5 • Assuming causal link sometimes refers to post-hoc fallacy The rooster crows immediately before sunrise. Therefore, the rooster causes the Sun to rise. 1-42 1.5 Critical Thinking Chapter 1 LO1-5 Pitfall 6: Generalization to Individuals Avoid reading too much into statistical generalizations (e.g., men are taller than women). Yes, but only in a statistical sense. Men are taller on average, but many women are taller than many men. 1-43 1.5 Critical Thinking Chapter 1 LO1-5 Pitfall 7: Unconscious Bias Be careful about unconsciously or subtly allowing bias to color handling of data (e.g., heart disease in men vs. women). Symptoms in men are more obvious than in women. Pitfall 8: Significance versus Importance Statistically significant effects may lack practical importance (e.g., Austrian military recruits born in the spring average 0.6 cm taller than those born in the fall). Would anyone notice this difference? 1-44 1.6 SOFTWARES FOR STATISTICS Chapter 1 LO1-6 https://jasp-stats.org https://gretl.sourceforge.net https://www.blueskystatistics.com PSPP - GNU Project - Free Software Foundation https://www.r-project.org EXCEL 1-45