ECON 3790 Statistics for Business and Economics Instructor: Ou Hu, Ph.D., CFA Youngstown State University Summer 2014 1 Chapter 1 Data and Statistics Outline – Statistics in the world of business - examples What does business statistics entail? Data set as the object of statistics Scales of measurement Classifications of data and statistics Data sources 2 Statistics in the Business and Economy Examples • The U.S. real GDP has grown about 1.8% in the past decade; • The sales of iPhone accounts for about 25% in the global smartphone market; • In the U.S., a person with 4-year college education earns averagely twice as much as the one with a high school degree does; • By the time the lecture was prepared, the Dow Jones Industrial Average reached its historical highest point of 16167.97 on December 18, 2013. 3 What does business statistics entail? Statistics is the art and science of collecting, presenting, analyzing, and interpreting data. In business, statistics is not just about numbers and mathematics, but a tool that analyzes the available data and helps make informed and better business decisions. 4 Data Set as the Object of Statistics The structure of a data set: • Elements – the entities on which data are collected; • Variables – characteristics of the elements; • Observations – the set of measurements for an element. 5 Data Set – An Example Variables Company Apple Inc. Boeing Netflix Starbucks Wal-Mart Exchange Nasdaq NYSE Nasdaq Nasdaq NYSE Market Capitalization Market Risk (Beta) ($Billion) 496 0.63 102 0.94 23 1.79 59 0.75 252 0.3 An Observation Names of Elements Data Set 6 Scales of Measurement Data of different scales of measurement require different statistical analyses. There are four scales of measurement: • • • • Nominal Ordinal Interval Ratio 7 Nominal Scale Names or labels that show the attributes of elements, variables such as • Names of companies; • Gender of employees; Data of nominal scale can be numeric. ( For instance, ‘0’ denotes female and ‘1’ denotes male.) 8 Ordinal Scale It has the properties of nominal scale and the order or rank matters. For example, • Customer service rating ( poor, average, good, outstanding); Variables of ordinal scale can assume numeric data values. 9 Interval Scale It has the properties of ordinal scale and the interval/difference between values is measured in the same unit. For example, • Temperatures – oF or oC • SAT scores Data of interval scale are always numeric. For interval data, zeros do not mean nothing. For instance, a temperature of 0 degree does not mean there is no temperature. 10 Ratio Scale It has the properties of interval scale and the ratio of of two values are meaningful. For example, • Weight, height, distance, time, income, etc. Data of ratio scale are always numeric. For ratio data, zeros do mean nothing. For instance, a profit of zero $ means there is no profit. 11 Q1.1 – Which of the following variables uses the ordinal scale of measurement? a. b. c. d. Paint colors Social Security Numbers Letter grades (A,B,C,…) Monthly return of S&P 500 Index 12 Q1.1 – Which of the following variables uses the ordinal scale of measurement? a. Paint colors b. Social Security Numbers c. Letter grades (A,B,C,…) d. Monthly return of S&P 500 Index Answer: c 13 Classifications of Data Qualitative vs. Quantitative data • Nominal and ordinal data are qualitative, while interval and ratio data are quantitative. • Mathematical operations don’t apply to qualitative data even if they are numeric. Cross-Sectional vs. Time Series data 14 Classifications of Statistics Descriptive Statistics • To summarize data in an informative way; • Demonstrate patterns; • Use tables, graphs, and numerical measures. 15 Classifications of Statistics Inferential Statistics • A population is the entire set of data in a particular study. Its characteristics are called population parameters. The study of a population is probably very daunting, time-consuming, and costly. • A sample is a subset of a population. Its characteristics are called sample statistics. The study of a sample is much more manageable. 16 Inferential Statistics To estimate population parameters based on sample statistics Sample Statistics Population Parameters Sample mean: X Population mean: Sample variance: S 2 Population variance: Sample proportion: P Population proportion: P 2 17 Data Sources Nowadays, the public can get easy access to business and economics data online. For instance: • Yahoo! Finance • Federal Reserve Economic Data • Census Bureau 18