Basic Analysis and Graphing - SAS

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68 Performing Univariate Analysis Chapter 2 Statistical Details for the Distribution Platform Figure 2.18 Example of the Capability Analysis Report The spec limits are added to the histogram so that the data can be visually compared to the limits. As you can see, some of the abrasion levels are below the lower spec limit, and some are very close to the upper spec limit. The Capability Analysis results are added to the report. The Cpk value is 0.453, indicating a process that is not capable, relative to the given specification limits. Statistical Details for the Distribution Platform This section contains statistical details for Distribution options and reports. Statistical Details for Standard Error Bars Standard errors bars are calculated using the standard error np i ( 1 – p i ) where p i =n i /n.
Chapter 2 Performing Univariate Analysis 69 Statistical Details for the Distribution Platform Statistical Details for Quantiles This section describes how quantiles are computed. To compute the pth quantile of N non-missing values in a column, arrange the N values in ascending order and call these column values y 1 , y 2 ,...,y N . Compute the rank number for the pth quantile as p /100(N +1). • If the result is an integer, the pth quantile is that rank’s corresponding value. • If the result is not an integer, the pth quantile is found by interpolation. The pth quantile, denoted q p , is computed as follows: where: – n is the number of non-missing values for a variable – y 1 , y 2, ..., y n represents the ordered values of the variable – y n+1 is taken to be y n – i is the integer part and f is the fractional part of (n+1)p. – (n + 1)p = i + f For example, suppose a data table has 15 rows and you want to find the 75th and 90th quantile values of a continuous column. After the column is arranged in ascending order, the ranks that contain these quantiles are computed as follows: -------- 75 ( 15 + 1) = 12 and -------- 90 ( 15 + 1) = 14.4 100 100 The value y 12 is the 75th quantile. The 90th quantile is interpolated by computing a weighted average of the 14th and 15th ranked values as y 90 =0.6y 14 +0.4y 15 . Statistical Details for Summary Statistics Mean Std Dev q p = ( 1 – f)y i + ()y f i + 1 This section contains statistical details for specific statistics in the Summary Statistics report. The mean is the sum of the non-missing values divided by the number of non-missing values. If you assigned a Weight or Freq variable, the mean is computed by JMP as follows: 1. Each column value is multiplied by its corresponding weight or frequency. 2. These values are added and divided by the sum of the weights or frequencies. The standard deviation measures the spread of a distribution around the mean. It is often denoted as s and is the square root of the sample variance, denoted s 2 .
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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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118 Performing Bivariate Analysis C
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Contents Overview of Oneway Analysi
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130 Performing Oneway Analysis Chap
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Contents Example of Contingency Ana
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186 Performing Contingency Analysis
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Contents Overview of Logistic Regre
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218 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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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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