Lab #1

Part of your lab experience in Exercise Physiology will be to turn in labs with data that you have analyzed and plotted on a graph. Below is a description on how to make a Bar graph and Scatter graph in Microsoft Excel. We have also included some basic statistics and math in Excel.

For credit for today's lab, you must send your completed graphs by email to you lab instructor before the beginning of next weeks lab. To begin the lab assignment, download the Excel data and save it on your desk top. Download Excel data here

Print out the two handouts that we discussed in class: Metrics handout Abbreviations handout. Click here on how we will grade this first 10 point lab/homework

some basic math in Excel
How to make a scatter plot in Excel
some basic reseach design hints
How to make a bar graph in Excel

MATH


1. How to determine the mean average and standard deviation in Excel

2. Data should be entered in vertical columns, with each group a different column.

3. In an open cell below the column of data you wish to analyze, fist type =

4. Then type average(

5. Then highlight all the data you wish to determine the average (probably the entire column

6. After you have highlighted the data, type ) and hit enter

7. So the final equation to determine an average of 20 numbers in column A should look something like this: average(A2:A21) with all the numbers you wish to average in rows 2 through 21.

8. To determine the standard deviation, the final equation should look something like this: stdev(A2:A21) with all the numbers that you wish to determine the standard deviation in rows 2 through 21.

BAR GRAPH

1. Data should be entered in vertical columns, with each group a different column.

2. To make a bar (histogram) graph, highlight data you wish to plot

3. This graph will usually plot the average ± the standard deviation for two or more different groups. The question we are asking is how does VO2max compare between untrained students vs. endurance-trained students.

4. Click Chart Wizard on the top tool bar

5. Click on the type of graph you wish to make (in this case we want to make a Bar graph. Excel calls these Column graphs. So pick Column graph

6. You can decide what kind of chart sub-type you would like. Usually we will use the first (Clustered graph) sub-type.

7. Click on Next

8. Decide if your data on in Columns or rows. If data were entered in Columns (that is each group in a separate column) then click on columns. Each bar of the graph should be a different color.

9. Click Next.Ý

10. Enter a Figure legend under Chart title. This will be moved to the bottom of the graph

11. Enter category x-axis and value y-axis. Make sure to enter correct units for the chart axis.

12. You can turn the legend on or off. If you turn off legend you will need to label each Bar (see #21).

13. Click next

14. Place the chart as a new sheet and enter a file name for the chart

15. Click Finish

16. To move the graph title from the top to the bottom of the graph, highlight the chart title and drag to the center and bottom of the graph. You may need to resize the graph if the figure legend does not fit.

17. To resize the graph, click in the center of the graph, and then the graph should be outlined. Move the mouse to the bottom right corner of the graph. The curser should change design. Then hold the mouse down and drag to resize the graph (smaller or larger).

18. Make sure your figure legend is numbered and that it describes the graph. You can change the text of the figure legend by highlighting the figure legend then place the curser inside the text. The curser should change design so you can delete or enter text.

19. You can change design of each bar (histogram) by double clicking on the specific bar. To change the color or design, click on Patterns and change design of that specific bar. If you wish to change the width of the bar or the amount of overlap between bars, click on Options and change gap or overlap.

20. To enter the standard deviation for each group, double click on the bar, click on Y error bars, click on Display Both (we want error bars above and below the mean average), click on fixed value for the error amount and enter the value that was calculated in the Excel spread sheet.

21. If you wish to proved a label at the bottom of each Bar on the x-axis. Simply click in the center of the graph so the graph is highlighted, then type out the label and hit enter. The new label will appear someplace in the center of the graph and you can easily drag (see # 16) the label to the bottom of the appropriate Bar.

22. Make sure you save the graph onto your disk and if you are done print a final copy. See Figure 1 for a final copy.



Below are the steps needed to make a Scatter Plot in Microsoft Excel. The research question we are asking is how does the amount of endurance training affect VO2max in healthy young untrained subjects?

SCATTER PLOT

1. Data should be entered in two vertical columns, with each column a different variable (VO2max = column one and training time per week = column two). Data need to be entered so that each subject’s measurements are in the same row.

2. To make a Scatter Plot, highlight data you wish to plot

3. This graph will plot all the data points for all of the subjects.

4. Click Chart Wizard on the top tool bar.

5. Click on the type of graph you wish to make in this case we want to make an XY Scatter Plot. So click on XY Scatter.

6. You can decide what kind of chart sub-type you would like. Usually we will use the first sub-type (compares pairs of values) without connecting the data points with lines.

7. Click on Next

8. Decide if your data are in columns or rows. If data were entered in Columns (that is each group in a separate column) then click on columns. The graph should have many of the same colored/design symbols in the graph.

9. Click Next

10. Enter a Figure legend under Chart title. This will be moved to the bottom of the graph

11. Enter category x-axis and value y-axis. Make sure to enter correct units for the chart axis.

12. You can turn the legend on or off.

13. Click next

14. Place the chart as a new sheet and enter a file name for the chart

15. Click Finish

16. To resize graph and drag figure legend, See directions above for a Bar graph.

17. To analyze the data, you will enter a regression line (line of best fit), regression equation and an r2 value.

18. To enter a regression line, click in the center of the graph so the graph is outlined.

19. Click on the command Chart on the tool bar and scroll down to Enter Trendline …

20. The type of trend line will be a linear regression, so highlight the first box titled linear trend/regression type.

21. Click in Option

22. Check display equation on chart

23. Check display r 2 on chart

24. Click OK

25. Highlight the figure legend and enter delete (a figure legend is not needed for a simple regression)

26. You can move the equation by highlighting the equation and dragging to an appropriate location.

27. Make sure to save graph on your disk and if all is done, print out a final copy


Some basic research design and statistics

1. The average is obviously a measure of central tendency.

2.The standard deviation is a measure of variability about the mean. A larger standard deviation means there is more variability or more spread in the scores or measurements.

3. Regarding the Scatter Plot, according to our question training time per week is the independent variable (this the variable that is controlled or manipulated by the researcher).

4. The dependent variable is the measurement of VO2max (a dependent variable is the behavior or physiological measurement that is measured to determine if it is affected by the independent variable).

5. In a Scatter Plot, the independent variable (the one manipulated) is usually placed on the x-axis and the dependent variable (the one you measure) is on the y-axis.

6. So in our case, training time would be on the x axis and VO2max on the y axis.

7. The regression line is the line of best fit through all the data points.

8. Since this is a straight line it will have the form y = mx+b where m = slope, and b = y intercept.

9. Our line has a positive slope and goes from bottom left to top right, so there is a positive correlation between training time and VO2max (just what you would predict). That is as one variable increases (training time) the other tends to increase (VO2max).

10. The R2 value is a measure of the strength of the correlation. The R-value is also called the Pearson product moment correlation and is used to measure how well two variables are related to each other. As the R2 value approaches 1.0 there is a much stronger correlation. An R2 value of 0 would mean that there is no relationship between the two variables. The R2 value for the data I presented of 0.7521 is pretty strong.



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