chp 4 - Chapter 4 Displaying and Summarizing Quantitative...

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Unformatted text preview: Chapter 4 Displaying and Summarizing Quantitative Data Sample1 Density 0.0 0.0 1.0 Sample2 Density 0.0 0.2 1.0 0.0 1.0 2.0 Sample3 Density 0.0 0.2 1.0 0.0 1.0 2.0 Sample4 ! f Density .0 0.0 1.0 2.0 1 At the end of this chapter, you should be able to: Make a histogram with different bin widths. Make a stem-and-leaf display. Obtain a histogram and stem-and-leaf display of a quantitative variable using JMP. obtain a histogram or stem- and-leaf display using the correct terminology, and understand the implications for the data. claculate numerical summaries of a quantitative variable. Identify the number summary for a quantitative variable. Know when one type of summary is better than another. 2 Describing One Quantitative Variable Distribution of variable Summary of different values observed for the variable Make a picture histogram ___________________________ 3 Example: Olive oil This data consists of the percentage composition of fatty acids found in the lipid fraction of Italian olive oils. The data arises from a study to determine the authenticity of an olive oil. Taken from Forina, M., Armanino, C., Lanteri, S. & Tiscornia, E. (1983), Classication of Olive Oils from their Fatty Acid Composition, in Martens, H. and Russwurm Jr., H., eds, Food Research and Data Analysis, Applied Science Publishers, London, pp. 189--214. CSI example! Olive oils have a fatty acid signature unique to the growing region of the olives used. 4 Percent of Oleic Acid 78.23 77.09 81.13 79.52 77.71 79.24 79.90 77.28 77.45 79.44 79.78 78.68 77.28 80.18 77.95 76.06 78.40 73.44 79.58 78.20 76.92 78.06 69.61 71.00 70.04 71.03 69.74 70.87 70.30 71.30 71.29 70.55 69.65 70.34 71.03 68.03 70.32 69.62 71.47 67.32 70.06 69.23 68.42 66.80 71.40 67.32 67.05 66.08 63.67 65.68 69.73 64.99 64.99 65.70 . 5 Percent of Oleic Acid Who: sample of olive oils What: % of fatty acid Where: Italy When: 1983 Why: Determine the authenticity of oils from different regions of Italy. How: Full details are given in the research paper. 6 Displaying Quantitative Data Histogram Divides the what values into equal-width piles (called bins). Count number of whos that belong to each bin. Plot the what_ bin values on x-axis. Plot the number of whos_ that belong to each bin on y-axis. 7 Olive Oils Example Bin Count 62-64 2 64-66 13 66-68 37 68-70 92 70-72 109 72-74 103 Bin Count 74-76 48 76-78 77 78-80 87 80-82 3 82-84 84-86 1 8 Percent of Oleic Acid 78.23 77.09 81.13 79.52 77.71 79.24 79.90 77.28 77.45 79.44 79.78 78.68 77.28 80.18 77.95 76.06 78.40 73.44 79.58 78.20 76.92 78.06 69.61 71.00 70.04 71.03 69.74 70.87 70.30 71.30 71.29 70.55 69.65 70.34 71.03 68.03 70.32 69.62 71.47 67.32 70.06 69.23 68.42 66.80 71.40 67.32 67.05 66.08 63.67 65.68 69.73 64.99 64.99 65.70 ....
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chp 4 - Chapter 4 Displaying and Summarizing Quantitative...

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