Created by Virginia Schutte Pre-class assignment 1: graphing SECTION 1: Types of graphs There are several common types of graphs that can be used to display information visually. We will cover: 1) pie charts, 2) bar graphs, 3) scatter plots, and 4) line graphs. 1) Pie chart: This type of graph is used to display parts of a whole (for example, of all the organisms counted in a stream, how many are plants and how many are animals?). This graph is best used to convey information about something’s composition. However, the results are relative in this type of chart (for example, the number of plants in the stream is converted to a percentage of all the organisms that were counted- the number displayed is relative to that total). Variables A variable is something that is measured, controlled, or manipulated in research. For example, in an experiment where I test whether drinking milk affects bone density, both bone density and amount of milk consumed are variables. The variable that is suspected of controlling the results we measure is called the independent variable and the variable that we suspect is controlled by the independent variable is called the dependent variable, because its results are affected by (dependent on) the independent variable. In the example above, milk consumed is the independent variable and bone density is the dependent variable. In bar, scatter, and line graphs, the independent variable is plotted on the x-axis and the dependent variable is plotted on the yaxis. Pre-class assignment 1: graphing 2) Bar graph: This type of graph shows the values of different measurements taken (for example, how many plants and how many animals were counted in the stream?). This graph is best used to convey information about quantities (how much there is of something; for example, 4 cups of water is a quantity) measured in association with categorical variables. Categorical variables are groupings created to classify the items measured. Categorical variables include variables like foods, colors, and gender and can include variables like height, weight, and speed if they are classified into different groups (classifying speeds into groups like slow and fast or 45-55 mph would be appropriate for a bar graph). This graph displays absolute results- the numbers collected are not made relative to anything (for example, this graph will display the actual number of plants and animals that were counted in the stream). 3) Scatter plot: This type of graph shows the values of measurements that were taken (the same type of information as a bar graph), but is best used to relate those measurements to a continuous variable (for example, how does location influence the number of plants in the stream?). Continuous variables are the opposite of categorical variables- they are measured over a continual scale and are not grouped into different classifications. Continuous variables include variables like time, height, and size and do NOT include variables like colors, college attended, or age unless they are converted to continuous variables (for example, 23.4 and 65.7 years old instead of young and old). Pre-class assignment 1: graphing 4) Line graph: This type of graph also involves a continuous variable and can be thought of as a scatter plot with a line drawn through the values displayed on the chart. This graph is best used to convey information about changes to a dependent variable over independent variable values that are related to each other (for example, how has the number of plants in the stream changed over the last year? The independent variable values (months sampled) are related to each other because the same location was sampled each time). This type of graph is frequently used when conveying information over time. Pre-class assignment 1: graphing SECTION 2: Making graphs Graphs can be made by hand but there are many computer programs that can be used to make graphs more quickly. One of the most common and perhaps the easiest to use is Microsoft Excel. We will cover how to make each of the graphs introduced in section 1 in versions of Microsoft Excel released in 2007 or later (available in the computer labs on campus). Components of a good graph All graphs must have a title (NOTE: this is often replaced by a figure legend, a brief description of the graph printed below the figure, in scientific publications), variable labels for the things measured, and (if appropriate) axis labels (with units like g [grams] in your axis labels if appropriate). For example: Pre-class assignment 1: graphing How to make graphs in Excel 2007 NOTE: The instructions below should enable you to produce graphs identical to those given above as examples in Section 1. Try following these instructions and use the example graphs above to verify that you have followed the instructions correctly. 1) Pie charts: 1. Type in the following data so you have a column with what you measured (in this case, organisms) and list the specific names of the variables you measured underneath that. Then make a second column with the title of the graph, then list the proportions of organisms that you calculated underneath that: Organisms: plants- 65, animals- 35 2. Select the cells that contain the information you just entered by clicking and dragging until the 6 cells you modified are highlighted. Then click on the “insert” tab (2nd from the left at the top of your screen), then click on “Pie” in the “Charts” section at the top of your screen, and select the simplest type of pie chart, the top left icon in the “2-D Pie” section at the top of the drop down menu. Your graph should appear in your excel worksheet once you have selected this icon. Pre-class assignment 1: graphing 3. To add a title to your graph (if one is not automatically added), select the chart, then click on the “layout” tab (2nd from the right), then click on “chart title”, and “above chart”. 4. To add a legend to your graph (if one is not automatically added), while the chart is selected click on the “layout” tab, then click on “legend” and choose where you would like the legend to be displayed. Pre-class assignment 1: graphing 5. You can reformat many aspects of the graph according to your preferences by clicking on various components of the graph (like the title), then clicking on the “Layout” tab that is only present when some aspect of your graph is selected (2nd from the right), then clicking on “Format Selection” in the “Current Selection” section at the top of your screen. 2) Bar graphs: 1. Enter your data in the same way as was described in step 1 above, but this time use the following abundance data: Type of organism: plants- 11, animals- 6 2. Select the cells with relevant information and click “insert” as you did for step 2 above, but click on “Column” in the “Charts” section and select the simplest type of bar graph, the top left icon in the “2-D Column” section at the top of the drop down menu. Your graph should appear in your excel worksheet once you have selected this icon. NOTE: although Excel distinguishes between column and bar graphs, scientists commonly call both types bar graphs. Pre-class assignment 1: graphing 3. Make sure your graph has a title by following the instructions from step 3 above. 4. To add a label for the x-axis onto your graph, while the chart is selected click on the “layout” tab, then click on “axis titles”. Select “primary horizontal axis” and click on “title below axis”. To add a label for the y-axis onto your graph, select “primary vertical axis” and click on “rotated title”. 5. You can reformat many aspects of the graph according to your preferences. For example, a legend here is not necessary because you only have one variable on your y-axis (thus you do not need to distinguish between that variable and anything else). To delete the legend automatically created for you, simply click on it and press “Delete” on your keyboard. Pre-class assignment 1: graphing 3) Scatter plots: 1. Enter your data in the same way as was described in step 1 above, but this time use the following location and abundance data: Location: mile - 1.5, plants- 8; mile 3, plants 6; 3.5, 9; 5, 8; 6, 7; 6.25, 8; 6.5, 6; 7, 10 2. Select the cells with relevant information and click “insert” as you did for step 2 above, but click on “Scatter” in the “Charts” section and select the simplest type of scatter plot, the top left icon in the drop down menu. Your graph should appear in your excel worksheet once you have selected this icon. 3. Make sure your graph has a title by following the instructions from step 3 above. 4. Make sure your graph has axis labels by following the instructions from step 4 above. 5. You can reformat many aspects of the graph according to your preferences. Pre-class assignment 1: graphing 4) Line graphs: 1. Type in the following data so you have a column with when you measured (in this case, month) and list the specific names of the timepoints you measured underneath that. Then make a second column with the title of the graph, then list the abundances of organisms underneath that: Plants: February- 11, May-15, August- 22, November- 13 2. Select the cells with relevant information and click “insert” as you did for step 2 above, but click on “Line” in the “Charts” section and select the basic type of line graph, the bottom left icon in the “2-D Line” section at the top of the drop down menu. Your graph should appear in your excel worksheet once you have selected this icon. 3. Make sure your graph has a title by following the instructions from step 3 above. 4. Make sure your graph has axis labels by following the instructions from step 4 above. 5. You can reformat many aspects of the graph according to your preferences. Pre-class assignment 1: graphing SECTION 3: Reading graphs There are 4 basic steps to reading and interpreting a graph. We will walk through these 4 steps using the line graph shown below as an example. 1 Step 1: What type of graph is it? It is a line graph, so changes in data are being related to a continuous variable. Step 2: What are the axes (units and scale)? x-axis: Time (in months; every 3 months from Feb - Nov) y-axis: Plant abundance (number of plants counted in the Gotham City stream) This tells us that the abundance of plants in the Gotham City stream was counted every 3 months from February to November. Step 3: Is there a pattern or trend in the data? The data increase from Feb - May, increase from May - Aug, and decrease from Aug Nov. This means that there is no constantly upward or downward trend in plant abundance through time. Plant abundance peaked in August and was for the most part consistent otherwise. Step 4: What can you conclude from the pattern you described? The plants examined are most abundant in early fall and during the rest of the year are approximately half of their peak abundance. 1 Source: FIRST IV (Faculty Institutes for Reforming Science Teaching) program Pre-class assignment 1: graphing SECTION 4: Help and glossary I want information on: - deciding which type of graph is most appropriate for my data. We suggest: http://www.mindtools.com/pages/article/Charts_and_Diagrams.htm for a review of graph components and more detailed guidance on which graphs are suited for which types of data. NOTE: while this site contains good graphing examples, their graphs do not always contain the necessary components required of a good graph (see Section 2 above). - making a graph in Excel: Excel’s “help” button is shaped like a question mark in a circle and is in the upper right corner of your screen underneath the minimize button. - practicing graphing beyond this exercise. We recommend: http://42explore.com/graphs.htm for a list of websites with more graphing information and tutorials. - understanding graphs. We suggest: http://www.galeschools.com/research_tools/src/interpret_graph.htm for a basic guide on graph interpretation. - using Excel. We suggest: http://www.ncsu.edu/labwrite/res/gt/gt-cell-home.html and http://staff.tuhsd.k12.az.us/gfoster/standard/excelgra.htm which, even though they are written for an earlier version of Excel, have basic usage information. - why I should care about graphing. This exercise is intended to be a basic introduction to or review of graphing principles, but there are many (and more complex) types of graphs that can be applied across disciplines and may be important to any career. Here are 2 websites with numerous examples of how graphs can be used in non-science situations: http://www.visualcomplexity.com/vc/, http://www.aisee.com/gallery/ *** If you have more graphing questions, please ask a TA or the professor- you WILL be _________expected to interpret and create graphs throughout this semester ***_________ bar graph: A graph with bars whose lengths are proportional to the quantities of a measured variable categorical variable: A variable that is placed into discrete categories (ex: breed of dog) continuous variable: A variable that can take any possible value within the range limits of the variable (for example, price) legend: List of variables so the reader can differentiate between 2 or more variables displayed in a graph line graph: A graph in which a line is used to connect the quantities of a measured variable pie chart: A circular graph that is divided proportionally to represent the relative quantities of a measured variable relative results: Data that have been normalized, or made relative to each other (for example, 2 is 50% of 4) scatter plot: A graph where quantities of a measured variable are plotted on a coordinate plane made by more than 1 axis variable: A quantity that can take any of a set of values (for example, in an experiment where I test whether drinking milk affects bone density, both bone density and amount of milk consumed are variables) x-axis: The horizontal axis of a two-dimensional graph y-axis: The vertical axis of a two-dimensional graph
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