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Graphs

Graphs. Greg C Elvers, Ph.D. What Are Graphs?. Graphs are a non-textual means of presenting information Graphs quickly summarize large sets of data easily show trends in the data easily show the relation between two or more variables

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Graphs

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  1. Graphs Greg C Elvers, Ph.D.

  2. What Are Graphs? • Graphs are a non-textual means of presenting information • Graphs • quickly summarize large sets of data • easily show trends in the data • easily show the relation between two or more variables • The type of graph you use depends on what you want to show and the level of measurement

  3. Selecting a Graph Type For what do you want to use your graph? See Relations Summarize See Trends

  4. Summarizing Data • There are several graphs that are designed for summarizing data: • Bar charts • Histograms • Tukey box plots

  5. Bar Charts • Bar charts show the number of items in each of several categories • The X axis (or abscissa) contains the categories • The Y axis (or ordinate) contains the frequency • Most often used with nominally scaled data

  6. Histograms • Histograms are similar to bar charts, except they are used with at least ordinally scaled data • The bars are adjacent to each other to emphasize the continuous nature of the scale

  7. Tukey box plots compactly displaymany descriptive statistics: * • Mean • Median • Interquartile range • Range • Outliers Tukey Box Plots

  8. Seeing Trends in Data • A trend is a relation between two or more levels of an independent variable • E.g., as time spent studying increases, exam scores tend to increase • Many of the graphs used to display summary information can also be used to display trends in the data • The line graph is especially useful

  9. Line Graphs • A line graph plots the independent variable on the abscissa and the dependent variable on the ordinate • It assumes that the data are continuous in nature

  10. Seeing Relations in Data • Often you will want to see if two variables are related to each other • E.g., is amount of alcohol consumed per week related to college GPA? • Scatter plots are often used to display this type of relation

  11. Scatter Plots • A scatter plot is a graph with one variable on the ordinate and the other variable on the abscissa • Each observation is then plotted at its appropriate X and Y coordinates

  12. Guidelines for Creating Good Graphs • Think carefully about what you want to show, and use the graph that shows it the best • Keep the graph uncluttered • No graph title • Keep legend out of the graph area • Avoid chartjunk (3D effects, shading, grid lines, hashing, etc.)

  13. Guidelines for Creating Good Graphs • Make the axis labels sufficiently large; 24 points is a minimum • Choose the scale of the axes carefully; do not make the range of the scale artificially high (can hide effects) or low (can exaggerate effects) • There should be approximately 5 to 9 axis tick marks and labels per axis • Do not break the Y axis

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