Role of Data in Decision Making 29-06-2023 Role of Data in Decision Making DATA & INFORMATION In God we trust, all others must bring data - W Edwards Deming Dr. Kiran K 1 Role of Data in Decision Making 29-06-2023 London Cholera Outbreak - 1854 Severe outbreak of cholera that occurred near Broad Street (now Broadwick street) in Soho district of London in 1854. More than 500 people died within 10 days of the outbreak, the mortality rate in some parts of the city was as high as 12.8%. Dr. Kiran K 2 Role of Data in Decision Making 29-06-2023 May 2020 Dr. Kiran K 3 Role of Data in Decision Making Dr. Kiran K 29-06-2023 4 Role of Data in Decision Making Dr. Kiran K 29-06-2023 5 Role of Data in Decision Making Dr. Kiran K 29-06-2023 6 Role of Data in Decision Making Dr. Kiran K 29-06-2023 7 Role of Data in Decision Making Dr. Kiran K 29-06-2023 8 Role of Data in Decision Making Dr. Kiran K 29-06-2023 9 Role of Data in Decision Making Dr. Kiran K 29-06-2023 10 Role of Data in Decision Making Dr. Kiran K 29-06-2023 11 Role of Data in Decision Making Dr. Kiran K 29-06-2023 12 Role of Data in Decision Making Dr. Kiran K 29-06-2023 13 Role of Data in Decision Making Dr. Kiran K 29-06-2023 14 Role of Data in Decision Making Dr. Kiran K 29-06-2023 15 Role of Data in Decision Making Dr. Kiran K 29-06-2023 16 Role of Data in Decision Making Dr. Kiran K 29-06-2023 17 Role of Data in Decision Making Dr. Kiran K 29-06-2023 18 Role of Data in Decision Making Dr. Kiran K 29-06-2023 19 Role of Data in Decision Making Dr. Kiran K 29-06-2023 20 Role of Data in Decision Making 29-06-2023 DATA TYPE Data Level Meaningful Operations Nominal Classifying and Counting Ordinal All of the above plus Ranking Interval All of the above plus Addition, Subtraction, Multiplication, and Division (including means, standard deviations, etc.) Ratio All of the above Qualitative/Categories (No Ordering or direction) Ranking, Order, Scaling Differences between measurements (no true zero) Differences between measurements & true zero exists DATA TYPE Dr. Kiran K 21 Role of Data in Decision Making 29-06-2023 DATA TYPE DIVISIONS / DEPARTMENTS STAKEHOLDERS Manufacturing / Operations Finance Marketing COMPANY Human Resource Legal DECISIONS Dr. Kiran K Research & Development DATA 22 Role of Data in Decision Making 29-06-2023 DATA STRUCTURING • Classification • 1 dimension / variable / Univariate • Tabulation • More than 1 variable • Simultaneous representation DATA STRUCTURING • Classification • 1 dimension / variable / Univariate • Discrete Dr. Kiran K 23 Role of Data in Decision Making 29-06-2023 DATA STRUCTURING • Classification • 1 dimension / variable / Univariate • Continuous Ungrouped Versus Grouped Data • Ungrouped data • have not been summarized in any way • are also called raw data • Grouped data • logical groupings of data exists • i.e. age ranges (20-29, 30-39, etc.) • have been organized into a frequency distribution Dr. Kiran K 24 Role of Data in Decision Making 29-06-2023 Example of Ungrouped Data 42 26 32 34 57 30 58 37 50 30 53 40 30 47 49 50 40 32 31 40 52 28 23 35 25 30 36 32 26 50 55 30 58 64 52 49 33 43 46 32 61 31 30 40 60 74 37 29 43 54 Ages of a Sample of Managers from Urban Child Care Centers in the United States Frequency Distribution • Frequency Distribution – summary of data presented in the form of class intervals and frequencies • Vary in shape and design • Constructed according to the individual researcher's preferences • Discrete • Continuous Dr. Kiran K 25 Role of Data in Decision Making 29-06-2023 Frequency Distribution of Child Care Manager’s Ages Class Interval 20-under 30 30-under 40 40-under 50 50-under 60 60-under 70 70-under 80 Frequency 6 18 11 11 3 1 Common Statistical Graphs – Quantitative Data • Histogram -- vertical bar chart of frequencies • Frequency Polygon -- line graph of frequencies • Ogive -- line graph of cumulative frequencies • Stem and Leaf Plot – Like a histogram, but shows individual data values. Useful for small data sets. • Pareto Chart -- type of chart which contains both bars and a line graph. • The bars display the values in descending order, and the line graph shows the cumulative totals of each category, left to right. • The purpose is to highlight the most important among a (typically large) set of factors. Dr. Kiran K 26 Role of Data in Decision Making 29-06-2023 Histogram • A histogram is a graphical summary of a frequency distribution • The number and location of bins (bars) should be determined based on the sample size and the range of the data 10 0 Frequency Class Interval Frequency 20-under 30 6 30-under 40 18 40-under 50 11 50-under 60 11 60-under 70 3 70-under 80 1 20 Histogram 0 10 20 30 40 50 60 70 80 Years Dr. Kiran K 27 Role of Data in Decision Making 29-06-2023 10 0 Frequency 6 18 11 11 3 1 Frequency Class Interval 20-under 30 30-under 40 40-under 50 50-under 60 60-under 70 70-under 80 20 Frequency Polygon 0 10 20 30 40 50 60 70 80 Years Dr. Kiran K 40 Frequency 20 0 Class Interval 20-under 30 30-under 40 40-under 50 50-under 60 60-under 70 70-under 80 Cumulative Frequency 6 24 35 46 49 50 60 Ogive 0 10 20 30 40 50 60 70 80 Years 28 Role of Data in Decision Making 29-06-2023 Relative Frequency Ogive Class Interval 20-under 30 30-under 40 40-under 50 50-under 60 60-under 70 70-under 80 Cumulative Relative Frequency Cumulative Relative Frequency .12 .48 .70 .92 .98 1.00 1.10 1.00 0.90 0.80 0.70 0.60 0.50 0.40 0.30 0.20 0.10 0.00 0 10 20 30 40 50 60 70 80 Years Stem and Leaf plot: Safety Examination Scores for Plant Trainees Raw Data Dr. Kiran K Stem Leaf 86 77 91 60 55 2 3 76 92 47 88 67 3 9 23 59 72 75 83 4 79 77 68 82 97 89 5 569 6 07788 81 75 74 39 67 7 0245567789 79 83 70 78 91 8 11233689 68 49 56 94 81 9 11247 29 Role of Data in Decision Making 29-06-2023 Construction of Stem and Leaf Plot Raw Data Stem 86 77 91 60 76 92 47 88 23 59 72 75 83 77 68 82 97 89 81 75 74 39 67 79 83 70 78 91 68 49 56 Leaf94 81 Stem Leaf 55 2 3 67 3 9 4 79 5 569 6 07788 7 0245567789 8 11233689 9 11247 Stem Leaf Histogram vs. Stem and Leaf? • So, which one should I use? • A Stem and Leaf plot is useful for small data sets. It shows the values of the datapoints. • A histogram foregoes seeing the individual values of the data for the bigger picture of the distribution of the data • The purpose of these graphs is to summarize a set of data. As long as that need is met, either one is okay to use. Dr. Kiran K 30 Role of Data in Decision Making 29-06-2023 Common Statistical Graphs – Qualitative Data • Pie Chart -- proportional representation for categories of a whole • Bar Chart – frequency or relative frequency of one more categorical variables Frequency Pareto Chart 100 100% 90 90% 80 80% 70 70% 60 60% 50 50% 40 40% 30 30% 20 20% 10 0 10% 0% Poor Wiring Dr. Kiran K Short in Coil Defective Plug Other 31