Cancer: A Global View Gretchen A. Koch-Noble, Goucher College Ethel Stanley, BioQUEST Curriculum Consortium PEER UTK 2012

Special Thanks To: Dr. Claudia Neuhauser o University of Minnesota – Rochester o Author and creator of modules

Learning Objectives After completion of this module, the student will be able to: 1.Explore “social, economic and environmental development at local, national and global levels” with Gapminder. 2.Perform and interpret logarithmic transformations for graphical display. 3.Download global health data from Gapminder and WHOSIS.

Prerequisites 1.Calculating percent changes 2.Straight lines 3.Natural logarithm, exponential function 4.Graphing in Excel 5.Fitting a straight line to data points in Excel and displaying the equation

Knowledge Gained 1.Logarithmic transformations 2.Continuous time population models 3.Fitting a straight line to data

Teaching Style 1.See It 2.Do It 3.Teach It

Learning Objective 1: Gapminder A visualization tool to animate statistics and data to see trends over time Downloadable data sets Interactive graphical resources Unique visualization techniques o Ex: Size and color of each country’s circle are significant. Video #1: Breast Cancer StatisticsBreast Cancer Statistics Video #2: Lung Cancer StatisticsLung Cancer Statistics

Think, Pair, Share What features about Gapminder were most intriguing? What, if anything, confused you about Gapminder? What relationships would you like to explore with respect to breast cancer and lung cancer in Gapminder? 3:00

Think, Pair, Share What features about Gapminder were most intriguing? What, if anything, confused you about Gapminder? What relationships would you like to explore with respect to breast cancer and lung cancer in Gapminder? 2:00

Think, Pair, Share What features about Gapminder were most intriguing? What, if anything, confused you about Gapminder? What relationships would you like to explore with respect to breast cancer and lung cancer in Gapminder? 1:00

Think, Pair, Share What features about Gapminder were most intriguing? What, if anything, confused you about Gapminder? What relationships would you like to explore with respect to breast cancer and lung cancer in Gapminder? Time to Share

Think, Pair, Share Complete In-Class Activity #2 in the Cancer Global View document Pay special attention to what happens when you change the scale of the graph 15:00

Think, Pair, Share Complete In-Class Activity #2 in the Cancer Global View document Pay special attention to what happens when you change the scale of the graph 14:00

Think, Pair, Share Complete In-Class Activity #2 in the Cancer Global View document Pay special attention to what happens when you change the scale of the graph 13:00

Think, Pair, Share Complete In-Class Activity #2 in the Cancer Global View document Pay special attention to what happens when you change the scale of the graph 12:00

Think, Pair, Share Complete In-Class Activity #2 in the Cancer Global View document Pay special attention to what happens when you change the scale of the graph 11:00

Think, Pair, Share Complete In-Class Activity #2 in the Cancer Global View document Pay special attention to what happens when you change the scale of the graph 10:00

Think, Pair, Share Complete In-Class Activity #2 in the Cancer Global View document Pay special attention to what happens when you change the scale of the graph 9:00

Think, Pair, Share Complete In-Class Activity #2 in the Cancer Global View document Pay special attention to what happens when you change the scale of the graph 8:00

Think, Pair, Share Complete In-Class Activity #2 in the Cancer Global View document Pay special attention to what happens when you change the scale of the graph 7:00

Think, Pair, Share Complete In-Class Activity #2 in the Cancer Global View document Pay special attention to what happens when you change the scale of the graph 6:00

Think, Pair, Share Complete In-Class Activity #2 in the Cancer Global View document Pay special attention to what happens when you change the scale of the graph 5:00

Think, Pair, Share Complete In-Class Activity #2 in the Cancer Global View document Pay special attention to what happens when you change the scale of the graph 4:00

Think, Pair, Share Complete In-Class Activity #2 in the Cancer Global View document Pay special attention to what happens when you change the scale of the graph 3:00

Think, Pair, Share Complete In-Class Activity #2 in the Cancer Global View document Pay special attention to what happens when you change the scale of the graph 2:00

Think, Pair, Share Complete In-Class Activity #2 in the Cancer Global View document Pay special attention to what happens when you change the scale of the graph 1:00

Think, Pair, Share Complete In-Class Activity #2 in the Cancer Global View document Pay special attention to what happens when you change the scale of the graph Time to Share

Summarizing

Learning Objective 2: Logarithmic Transformations Gapminder World: Gapminder World o Lung cancer, new cases per 100,000 men versus Income per Capita Linear y-axis with linear x-axis Logarithmic y-axis with linear x-axis Linear y-axis with logarithmic x-axis Logarithmic y-axis with logarithmic x-axis

Learning Objective 2: Logarithmic Transformations Same data – different visualizations:

Learning Objective 2: Logarithmic Transformations Same data – different visualizations: Linear versus Linear Logarithmic versus Logarithmic

Learning Objective 2: Logarithmic Transformations Same data – different visualizations:

Learning Objective 2: Logarithmic Transformations Same data – different visualizations: Linear versus Linear Logarithmic versus Linear

Learning Objective 2: Logarithmic Transformations (a)On the axes above, find the following numbers: x=0.05, 0.2, 8, 15, 750. (b)Why do you think we choose logarithms to base 10, instead of some other base? (c)Can you plot negative numbers on a logarithmic scale? (d)As x approaches 0, where would you find x on a logarithmic scale?

So what is really happening? Case 1: Both axes are logarithmic.

Log/Log Graphs Log/Log transformation = straight line

Log/Log Graphs Applying our rules for logarithms:

Log/Log Graphs Applying our rules for logarithms:

Log/Log Graphs Applying our rules for logarithms:

Log/Log Graphs Applying our rules for logarithms:

Log/Log Graphs Applying our rules for logarithms:

Log/Log Graphs Applying our rules for logarithms:

Log/Log Graphs Applying our rules for logarithms:

Log/Log Graphs If we substitute in a constant, we find

Log/Log Graphs If both axes are transformed logarithmically, producing a straight line, then the relationship between x and y is that of a power function:

Case 2: Semi-log Graphs In this case, the x-axis remains linear, while the y-axis is transformed logarithmically.

Case 2: Semi-log Graphs Again, let us assume that a straight line results from this transformation.

Case 2: Semi-log Graphs If we transform the y-axis logarithmically, leave the x-axis linear, and a straight line results, what is the relationship between the data points? 5:00

Case 2: Semi-log Graphs If we transform the y-axis logarithmically, leave the x-axis linear, and a straight line results, what is the relationship between the data points? 4:00

Case 2: Semi-log Graphs If we transform the y-axis logarithmically, leave the x-axis linear, and a straight line results, what is the relationship between the data points? 3:00

Case 2: Semi-log Graphs If we transform the y-axis logarithmically, leave the x-axis linear, and a straight line results, what is the relationship between the data points? 2:00

Case 2: Semi-log Graphs If we transform the y-axis logarithmically, leave the x-axis linear, and a straight line results, what is the relationship between the data points? 1:00

Case 2: Semi-log Graphs If we transform the y-axis logarithmically, leave the x-axis linear, and a straight line results, what is the relationship between the data points? Time’s Up!

Case 2: Semi-log Graphs

If we transform the y-axis logarithmically, leave the x-axis linear, and a straight line results, then the relationship between x and y is an exponential function.

Exploring Data in Excel 1.Download the Excel data file from the Schedule page 2.Click on the Parakeet tab. Highlight both columns of data. 3.Choose Charts  Scatter  Marked Scatter. 4.Click on the legend and delete it. 5.Click on the title and change it. 6.Choose Chart Layout  Axis Titles  Horizontal  Title Below the Axis. Pick an appropriate name. Repeat the process for the Vertical Axis. 7. To make the horizontal axis start at 76 (not 0), right click on the horizontal axis. Select Format Axis. Uncheck the Minimum box, and put 76 in as the minimum. 8.Options for logarithmic transformations can be found under Chart Layout  Axes  Horizontal 9.If your axes do not look correct (i.e. the horizontal axis is not at the bottom of the graph), right click on the vertical axis. Select Format Axis. Ensure that the horizontal axis crosses at the minimum value of the vertical axis.

Fitting Data in Excel 1.Graph your data on the scales desired. 2.Select the graph. Choose Chart Layout  Trendline  Trendline Options  Options. Choose to display the equation on the chart, as well as displaying the R-squared value on the chart. 3.Select the graph. Choose Chart Layout  Trendline  Trendline Options  Type. Try various options for the fit type, keeping in mind that the transformed graph should guide your decision. Note that an R-squared value closer to one indicates a stronger correlation between the two variables.

Group Activity Fit an appropriate function to the Parakeet data. Fit an appropriate function to the Plantain data. Compare with your neighboring group.

Learning Objective 3: Downloading Data Follow the directions in the Cancer Global View pdf (starting on the bottom of page 6) to download data from Gapminder and WHO (links can be found on the schedule page). Complete the group project involving the mash-up data provided. Create a blog entry reflecting on your results.