Basic Analysis and Graphing - SAS

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178 Performing Oneway Analysis Chapter 5 Statistical Details for the Oneway Platform Figure 5.31 Example of the Matching Column Report The plot graphs the miles traveled by season, with subject as the matching variable. The labels next to the first measurement for each subject on the graph are determined by the species and subject variables. The Matching Fit report shows the season and subject effects with F tests. These are equivalent to the tests that you get with the Fit Model platform if you run two models, one with the interaction term and one without. If there are only two levels, then the F test is equivalent to the paired t-test. Note: For details about the Fit Model platform, see the Modeling and Multivariate Methods book. Statistical Details for the Oneway Platform The following sections provide statistical details for selected options and reports.
Chapter 5 Performing Oneway Analysis 179 Statistical Details for the Oneway Platform Statistical Details for Comparison Circles One approach to comparing two means is to determine whether their actual difference is greater than their least significant difference (LSD). This least significant difference is a Student’s t-statistic multiplied by the standard error of the difference of the two means and is written as follows: LSD = t α ⁄ 2 std( μˆ 1 – μˆ 2) The standard error of the difference of two independent means is calculated from the following relationship: [ std( μˆ 1 – μˆ 2) ] 2 = [ std( μˆ 1) ] 2 + [ std( μˆ 2) ] 2 When the means are un correlated, these quantities have the following relationship: LSD 2 2 = t α ⁄ 2 std( ( μˆ 1 – μˆ 2) ) = t α ⁄ 2 std( μˆ 1) 2 + 2 t α ⁄ 2 stdμˆ 2 These squared values form a Pythagorean relationship, illustrated graphically by the right triangle shown in Figure 5.32. Figure 5.32 Relationship of the Difference between Two Means t α ⋅ std( μˆ – μˆ ) -- 1 2 2 t α ⋅ std( μˆ --- 1) 2 t α ⋅ std( μˆ --- 2) 2 The hypotenuse of this triangle is a measuring stick for comparing means. The means are significantly different if and only if the actual difference is greater than the hypotenuse (LSD). Suppose that you have two means that are exactly on the borderline, where the actual difference is the same as the least significant difference. Draw the triangle with vertices at the means measured on a vertical scale. Also, draw circles around each mean so that the diameter of each is equal to the confidence interval for that mean.
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Version 10 Basic Analysis and Graph
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USE, DATA OR PROFITS, WHETHER IN AN
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6 Options for Categorical Variables
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8 Nonparametric Bivariate Density R
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10 Example of the Power Option . .
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12 Statistical Details for the Logi
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14 Use Categorical Variables . . .
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16 Control Animation for Dynamic Bu
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18 Launch the Scatterplot Matrix Pl
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Contents Book Conventions. . . . .
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22 Learn about JMP Chapter 1 Book C
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24 Learn about JMP Chapter 1 Book C
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26 Learn about JMP Chapter 1 Additi
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28 Learn about JMP Chapter 1 Additi
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Contents Overview of the Distributi
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32 Performing Univariate Analysis C
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Contents Overview of the Fit Y by X
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90 Introduction to the Fit Y by X P
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Contents Example of Bivariate Analy
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94 Performing Bivariate Analysis Ch
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100 Performing Bivariate Analysis C
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228 Performing Simple Logistic Regr
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Contents Overview of the Matched Pa
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238 Comparing Paired Data Chapter 8
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Contents Example of Bootstrapping .
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250 Bootstrapping Chapter 9 Example
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252 Bootstrapping Chapter 9 Unstack
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254 Bootstrapping Chapter 9 Analysi
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Contents Overview of Graph Builder
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258 Interactive Data Visualization
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Contents Example of the Chart Platf
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314 Creating Summary Charts Chapter
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Contents Example of an Overlay Plot
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340 Creating Overlay Plots Chapter
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Contents Example of a 3D Scatterplo
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354 Creating Three-Dimensional Scat
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Contents Example of a Contour Plot
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374 Creating Contour Plots Chapter
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Contents Example of a Dynamic Bubbl
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384 Creating Bubble Plots Chapter 1
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Contents Overview of Mapping . . .
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406 Creating Maps Chapter 16 Exampl
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418 Creating Maps Chapter 16 Backgr
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Contents Example of a Parallel Plot
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450 Creating Parallel Plots Chapter
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Contents Example of a Cell Plot. .
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460 Creating Cell Plots Chapter 18
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Contents Example of Tree Maps . . .
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468 Creating Tree Maps Chapter 19 E
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470 Creating Tree Maps Chapter 19 E
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472 Creating Tree Maps Chapter 19 T
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474 Creating Tree Maps Chapter 19 A
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Contents Example of a Scatterplot M
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486 Creating Scatterplot Matrices C
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Contents Example of a Ternary Plot
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496 Creating Ternary Plots Chapter
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504 References Becker, R.A. and Cle
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506 References Dunnett, C.W. (1955)
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508 References Hosmer, D.W. and Lem
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510 References McLachlan, G.J. and
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512 References Robertson, T., Wrigh
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514 References Wadsworth, H. M., St
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516 Index examples 459, 463-464 lau
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518 Index Horizontal option 268, 32
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520 Index Proportion of Densities o
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522 Index examples 467-468, 473-482
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Basic Analysis and Graphing - SAS

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