JMP Stats Guide (Spring 2023) (2)

Stats Homework: JMP Computer Assignment PC For your first homework assignment, you will need to complete the statistical analysis for the data given below. This assignment is worth 5% of your total grade . Please complete the Word Document (“Stats Homework Template”) on the Moodle page and submit that Word Document to Moodle through the submission link . The data in the tables below are based on two studies of bald eagles in the United States and Canada with varying concentrations of DDE [a product of the pesticide DDT] (Grier 1982, Wiemeyer et al . 1993). Bold, blue text is helpful hints and important things to watch out for – read them. Bold, red text are warnings and common mistakes to avoid – read them as well. Table 1. The mean number of bald eagle young per breeding area in the years leading up to the 1972 DDT ban. Year (pre DDT ban) Mean Number of Bald Eagle Young per Breeding Area (pre DDT ban) 1966 1.3 1967 0.7 1968 0.9 1969 0.8 1970 0.5 1971 0.6 1972 0.5 Table 2. The mean number of bald eagle young per breeding area in the years immediately following the 1972 DDT ban. Year (post DDT ban) Mean number of bald eagle young per breeding area (post DDT ban) 1972 0.5 1973 0.8 1974 0.5 1975 0.8 1976 0.9 1977 1 1978 0.9 1979 1 1980 1 1981 1.12

Table 3. DDE concentrations in bald eagle tissue before and after the 1972 DDT ban (data collected 1966-1981). DDE (ppm, dry weight) Time Period 70 pre DDT ban 130 pre DDT ban 120 pre DDT ban 90 pre DDT ban 40 post DDT ban 10 post DDT ban 20 post DDT ban 30 post DDT ban Table 4. The mean five-year productivity for ranges of DDE residuals taken from 15 states in the USA between 1980 to 1984. DDE Residual Interval Mean Five Year Productivity <2.2 0.91 <2.2 1.0 <2.2 0.96 <2.2 1.03 <2.2 1.0 2.2-3.6 1.04 2.2-3.6 0.95 2.2-3.6 1.1 2.2-3.6 1.01 2.2-3.6 1.0 3.6-6.3 0.8 3.6-6.3 0.5 3.6-6.3 0.75 3.6-6.3 0.35 3.6-6.3 0.25 6.3-12 0.5 6.3-12 0.2 6.3-12 0.4 6.3-12 0.1 6.3-12 0.15 >12 0.6 >12 0.05 >12 0.3

Enter the data in Table 1, creating more columns as needed. Enter a title into the column headers by double clicking the header cell, or right clicking and going into cell properties. Double-check that you have no errors have been made while entering your data (even if you copy/pasted). After the data has been correctly entered, you will use JMP to analyze and graph your data. The following directions will instruct you on how to run the statistical analysis required, and then instruct you on how to create a graph to use. DO NOT copy the graphs produced in the statistical analysis section – they are not the graphs you want, and will result in grade deductions. Regression This section will walk you through the steps to perform a regression analysis, which will be used to perform a statistical analysis of Table 1 and Table 2. You will use the same steps for both tables, but will use the relevant data. Click the “Fit Model” icon (which the arrow is pointing to), which will open a new window. Fit Model

In the new window, click and drag the independent variable to the “Construct Model Effects” box, and then drag dependent variable to the Y box. Click “Run.” A new window will open that contains multiple sections of statistical output. Scroll to the bottom of that window to the sections that say Summary of Fit , Analysis of Variance , and Parameter Estimates . Run Statistical Analysis Dependent Variable here Independent Variable here DF 1 DF 2 R 2 P value F stat

Selecting either the menu option or clicking the icon will open a new window used to build graphs (commonly referred to as figures). Along the top will be several options for graph types. Your variables will be in the left most window, with graph options below them. First, drag the independent variable (in this case “Year”) to the X box; then drag the Graph Builder icon Graph type Selector Graph tools / features Variable window Graph Template

dependent variable (in this case “Mean Number of bald eagle young pre DDT ban”) to the Y box. Remember, independent variables generally go on the x-axis and dependent variables generally go on the y-axis. You will now have a scatterplot, though it needs some modifications. We want the line of best fit to be linear (not squiggly), so select the third icon in the graph options. This will produce a scatterplot with a linear best fit line along with 95% confidence intervals (the shaded region). Dependent Variable Independent Variable Line of best fit

The easiest way is to click the upside-down red arrow next to the “Graph Builder” title bar, move to Show, then you can click off the title, legend, and footer. This will leave you with the graph below. The figure is now in the proper format to be used in your assignment. Click the Done button below the “Graph Builder” title bar to remove the graph builder tools and leave you with the final graph. Red upside down arrow Done Button

Right-click on the graph select Edit > Copy from the pop-up menu. This saves the figure to the clipboard which can now be pasted into your homework assignment where indicated. Your final figure should look like the one below: Be sure to remove any unnecessary elements from figures for any assignments submitted – this includes titles, legends, footers, etc. Write a figure caption beneath the figure once it has been pasted into the homework document. All figures should be numbered in chronological order (Figure 1, Figure 2, etc.). Between the figure and the figure caption, the reader should be able to understand what information is trying to be presented. Any example of how the final figure should look, with caption included, is shown below:

To perform a t-test on the data from Table 3, you want to click on the “Fit Y by X” icon the the toolbar. Fit Y by X

Place your independent variable in the “X Factor” box and the dependent variable in the “Y Response” box then click the “OK” button. If you are having issues with your t-test or ANOVA results, make sure that the data type is correct. To fix data type issues, the icons for your variables should match the ones above (the blue triangle, the red bars, etc.). To fix this, go to the data table with all your data, right-click the relevant column header and select Column Info… from the pop-up menu. In the window that appears, select the correct “Modeling Type” that the data should be – Continuous, Ordinal, Nominal, etc. Once you have selected the correct Modeling Type, click the OK button. Ok button to run analysis Dependent variable Here Independent variable Here

Once you make this selection, you will see the statistical output that you are interested in. Minimize (click the grey/white arrow) for all of the output except “Pooled t Test.” This section will provide the appropriate T-statistic, degrees of freedom, and p-value to report (as show in the image above). You need to report these results in the appropriate format from the lecture/PowerPoint presentation: “There was/was not a significant/insignificant difference/relationship in DEPENDENT VARIABLE for INDEPENDENT VARIABLE (t df = X, p=Y, Figure #).” Means/ANOVA/Pooled t P value DF T stat

The Matching Bar Graph Click the “Graph Builder” icon in the toolbar. Drag the independent variable to the x-axis and the dependent to the y-axis. Remember, independent variables generally go on the x-axis and dependent variables generally go on the y-axis. Graph Builder Dependent Variable goes here Independent Variable goes here

Go to the “Graph Builder” title bar and click the upside-down red arrow to go into the show menu and uncheck the title, legend, and footer options. This will leave you will the desired figure. Click “Done” under the Graph Builder title bar. Your graph should look like the one below. If one of the bars is checkered patterned, just click the white space to remove the pattern. Standard Error selection

Figure #. The dependent variable for the independent variable . Describe the bars in some detail to give the reader some information… Right-click on the graph select Edit > Copy from the pop-up menu. This saves the figure to the clipboard which can now be pasted into your homework assignment where indicated. ANOVA and Tukey Tests In a new data table, or in the same data table that you used for Table 1, Table 2, and Table 4, enter the data from Table 4. Once you have done that, click the “Fit Y by X” icon in the toolbar. In the window that opens, drag the independent variable to the “X, Factor” box and the dependent variable to the “Y, Response” box (this is the same process that was done for the t-test…). Click OK, which will run the statistical analysis.