# corrPlot: Function to Visualize Correlations Between Model Matrix... In DoE.base: Full Factorials, Orthogonal Arrays and Base Utilities for DoE Packages

## Description

Function corrplot plots absolute or squared values of correlations between model matrix columns of main effects up to three-factor interactions for factorial designs.

## Usage

 ``` 1 2 3 4 5 6 7 8 9 10``` ```corrPlot(design, scale = "corr", recode = TRUE, cor.out = TRUE, mm.out=FALSE, main.only = TRUE, three = FALSE, run.order=FALSE, frml=as.formula(ifelse(three, ifelse(run.order, "~ run.no + .^3", "~ .^3"), ifelse(run.order, "~ run.no + .^2", "~ .^2"))), pal = NULL, col.grid = "black", col.small = "grey", lwd.grid = 1.5, lwd.small = 0.5, lty.grid = 1, lty.small = 3, cex.y = 1, cex.x = 0.7, x.grid = NULL, main = ifelse(scale == "corr", "Plot of absolute correlations", ifelse(scale == "R2", "Plot of squared correlations", "Plot of absolute correlations of coefficient estimates")), split = 0, ask = (split > 0), ...) ```

## Arguments

 `design` a class `design` object, or an object that can be made into that class by function `data2design` `scale` `"corr"` for absolute correlation of model matrix columns (default), `"R2"` for squared correlation of model matrix columns, `"corr.est"` for absolute correlation of coefficient estimates; `"corr.est"` works for model matrices with full column rank only `recode` logical indicating whether or not to recode each column into normalized orthogonal coding with function `contr.XuWu` `cor.out` logical; if TRUE (default), the correlation matrix is invisibly returned `mm.out` logical; if TRUE (default: FALSE), the correlation matrix is invisibly returned, with the model matrix attached to it as an attribute `main.only` logical; if TRUE (default), only correlations with main effects columns are visualized, otherwise also those with two-factor interactions `three` logical; if FALSE (default), only two-factor interactions are included, otherwise also three-factor interactions `run.order` logical; if TRUE, the linear run order effect is included into the plot, and main effects are shown on the horizontal axis; used in conjunction with function `rerandomize.design`, this option can help to find a suitable random order with reasonably low correlation to the effects of interest. `frml` the model formula; useful, if absolute correlation for the coefficient estimates are desired in a situation where a full model has a rank deficiency; for requirements on the formula, see the Details section. `pal` `NULL` (default), or a color palette. If `NULL`, the color palette depends on whether or not package RColorBrewer is available: if so, the Blues palette with nine shades is used; otherwise, a 10 level palette of heat colors augmented with white is used. The number of colors in `pal` determines the number of bins for plotting. `col.grid` color of the main grid lines `col.small` color of the small grid lines `lwd.grid` width of the main grid lines `lwd.small` with of the small grid lines `lty.grid` line type of the main grid lines `lty.small` line type of the small grid lines `cex.y` size of tick mark labels on vertical axis `cex.x` size of tick mark labels on horizontal axis `x.grid` vector of numerical positions for thicker vertical grid lines (default: `NULL` for none) `main` title `split` an integer number (default: 0, no split) of columns after which to split the horizontal axis; if this number is nonzero and smaller than the number of columns to display, several plots are created; note: the color legend needs attention, since it may differ between the different plots, depending on the plot's range of values `ask` logical; if yes (default in case of splitting, otherwise not), the user is asked to confirm creation of each new plot `...` additional arguments to function `levelplot`

## Details

The function can be used for visualizing confounding within an experimental design. It is strongly recommended to apply it to designs with columns coded in normalized orthogonal coding (`contr.XuWu`, `contr.XuWuPoly`, if applicable also `contr.FrF2`). Nevertheless, for factors with more than two levels, the picture shown depends on the choice of normalized orthogonal coding (see examples). Option `recode=FALSE` is there to allow to keep a suitably-chosen normalized orthogonal coding for each factor.

The function shows the absolute correlation or squared correlation between model matrix columns, or, on request and if possible, the absolute correlation between estimated coefficients (other than the intercept). In case the latter cannot be obtained for the full model, a model formula can be specified with option `frml`. Note that it is implicitly assumed that all main effects are included in the model formula, and for `main.only=FALSE` also all two-factor interactions.

For resolution III and higher designs, the vertical axis shows the main effects (and, if `main.only=FALSE`, also the two-factor interactions), the horizontal axis shows the two-factor interactions (and, if `three=TRUE`, also the three-factor interactions). For resolution II designs, the horizontal axis additionally shows the main effect columns (since they are correlated with other main effect columns). For resolution VI and higher designs, the function stops with an error. For resolution V designs, the function shows correlations between two-factor interactions on the vertical axis and three-factor interactions on the horizontal axis, if both are activated. The most interesting cases are designs of resolution up to IV.

The diagonal of the correlation matrix is set to NA before plotting, in order to be able to better see differences in case there are only relatively low correlations.

With `scale="R2"`, and using normalized orthogonal coding, some sums of matrix entries coincide with contributions to generalized word counts (resolution II: main effects with main effects; resolution III: main effects with two-factor interactions; resolution IV: main effects with three-factor interactions; see Groemping and Xu (2014) for the background of this result and Groemping (2013).

## Value

The entire matrix of absolute correlations is output invisibly.

## Author(s)

Ulrike Groemping, Beuth University of Applied Sciences, Berlin

## References

Groemping, U. (2013). Frequency Tables for the coding invariant ranking of orthogonal arrays. Reports in Mathematics, Physics and Chemistry 2/2013, Beuth University of Applied Sciences Berlin, Germany.

Groemping, U. and Xu, H. (2014). Generalized resolution for orthogonal arrays. The Annals of Statistics 42, 918–939.

The function works similarly to `colormap` in package daewr (but offers significantly more choices). That package accompanies the following book:

Lawson, J. (2013). Design and Analysis of Experiments with R. CRC, Boca Raton.

See Also as `levelplot`, ~~~

## Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14``` ```## this is with the default contr.XuWu recoding mat <- corrPlot(VSGFS) round(mat, 2) ## NOT RECOMMENDED: force-keep non-normalized coding corrPlot(VSGFS, recode=FALSE) # not useful! ## custom normalized orthogonal coding ## that has correlations more concentrated on fewer columns plan <- change.contr(VSGFS, "contr.XuWuPoly") contrasts(plan\$CDs) <- contr.FrF2(4) corrPlot(plan, recode=FALSE) # that is the purpose of recode=FALSE corrPlot(VSGFS, main.only=FALSE, three=TRUE, cex.x=0.5, cex.y=0.5, split=100) ```

### Example output

```Loading required package: grid

Attaching package: 'DoE.base'

The following objects are masked from 'package:stats':

aov, lm

The following object is masked from 'package:graphics':

plot.design

The following object is masked from 'package:base':

lengths

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CDs3                       0.06          0.08          0.14        0.00
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Light1:Sugar1              0.00          1.00          0.00        0.00
Light1:Sugar2              0.00          0.00          1.00        0.00
Light1:CDs1                0.00          0.00          0.00        1.00
Light1:CDs2                0.00          0.00          0.00        0.00
Light1:CDs3                0.00          0.00          0.00        0.00
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ShakFreq1:Sugar1           0.27          0.00          0.00        0.10
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ShakFreq1:CDs3             0.06          0.08          0.14        0.14
InocSize1:FilledVol1       0.00          0.00          0.00        0.14
InocSize1:FilledVol2       0.00          0.00          0.00        0.19
InocSize1:CM1              0.00          0.00          0.00        0.00
InocSize1:Sugar1           0.00          0.00          0.00        0.05
InocSize1:Sugar2           0.00          0.00          0.00        0.03
InocSize1:CDs1             0.00          0.05          0.03        0.00
InocSize1:CDs2             0.00          0.03          0.27        0.06
InocSize1:CDs3             0.00          0.08          0.23        0.05
FilledVol1:CM1             0.00          0.00          0.00        0.05
FilledVol2:CM1             0.00          0.00          0.00        0.08
FilledVol1:Sugar1          0.00          0.00          0.00        0.06
FilledVol2:Sugar1          0.00          0.00          0.00        0.03
FilledVol1:Sugar2          0.00          0.00          0.00        0.03
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FilledVol1:CDs1            0.05          0.06          0.03        0.07
FilledVol2:CDs1            0.08          0.03          0.18        0.12
FilledVol1:CDs2            0.14          0.03          0.18        0.04
FilledVol2:CDs2            0.02          0.02          0.17        0.07
FilledVol1:CDs3            0.16          0.10          0.17        0.03
FilledVol2:CDs3            0.09          0.06          0.10        0.05
CM1:Sugar1                 0.00          0.00          0.00        0.14
CM1:Sugar2                 0.00          0.00          0.00        0.08
CM1:CDs1                   0.00          0.14          0.08        0.11
CM1:CDs2                   0.00          0.14          0.08        0.00
CM1:CDs3                   0.00          0.08          0.05        0.00
Sugar1:CDs1                0.14          0.06          0.03        0.07
Sugar2:CDs1                0.08          0.03          0.06        0.12
Sugar1:CDs2                0.14          0.03          0.02        0.04
Sugar2:CDs2                0.08          0.02          0.03        0.07
Sugar1:CDs3                0.08          0.10          0.06        0.03
Sugar2:CDs3                0.05          0.06          0.10        0.05
Light1:CDs2 Light1:CDs3 ShakFreq1:InocSize1
Light1                      0.00        0.00                0.00
ShakFreq1                   0.14        0.19                0.00
InocSize1                   0.05        0.06                0.00
FilledVol1                  0.08        0.00                0.00
FilledVol2                  0.14        0.00                0.00
CM1                         0.09        0.06                0.00
Sugar1                      0.03        0.08                0.00
Sugar2                      0.05        0.14                0.00
CDs1                        0.00        0.00                0.00
CDs2                        0.00        0.00                0.09
CDs3                        0.00        0.00                0.06
Light1:ShakFreq1            0.00        0.00                0.00
Light1:InocSize1            0.00        0.00                0.00
Light1:FilledVol1           0.00        0.00                0.00
Light1:FilledVol2           0.00        0.00                0.24
Light1:CM1                  0.00        0.00                0.00
Light1:Sugar1               0.00        0.00                0.00
Light1:Sugar2               0.00        0.00                0.00
Light1:CDs1                 0.00        0.00                0.16
Light1:CDs2                 1.00        0.00                0.09
Light1:CDs3                 0.00        1.00                0.13
ShakFreq1:InocSize1         0.09        0.13                1.00
ShakFreq1:FilledVol1        0.00        0.00                0.00
ShakFreq1:FilledVol2        0.10        0.14                0.00
ShakFreq1:CM1               0.05        0.06                0.00
ShakFreq1:Sugar1            0.06        0.08                0.00
ShakFreq1:Sugar2            0.10        0.14                0.00
ShakFreq1:CDs1              0.19        0.14                0.00
ShakFreq1:CDs2              0.22        0.08                0.00
ShakFreq1:CDs3              0.08        0.22                0.00
InocSize1:FilledVol1        0.47        0.16                0.00
InocSize1:FilledVol2        0.21        0.09                0.00
InocSize1:CM1               0.00        0.00                0.00
InocSize1:Sugar1            0.03        0.08                0.00
InocSize1:Sugar2            0.27        0.23                0.00
InocSize1:CDs1              0.06        0.05                0.00
InocSize1:CDs2              0.07        0.03                0.00
InocSize1:CDs3              0.03        0.07                0.00
FilledVol1:CM1              0.14        0.16                0.00
FilledVol2:CM1              0.02        0.09                0.00
FilledVol1:Sugar1           0.03        0.10                0.00
FilledVol2:Sugar1           0.02        0.06                0.00
FilledVol1:Sugar2           0.18        0.17                0.00
FilledVol2:Sugar2           0.17        0.10                0.00
FilledVol1:CDs1             0.04        0.03                0.05
FilledVol2:CDs1             0.07        0.05                0.08
FilledVol1:CDs2             0.07        0.05                0.19
FilledVol2:CDs2             0.12        0.08                0.08
FilledVol1:CDs3             0.05        0.00                0.08
FilledVol2:CDs3             0.08        0.00                0.05
CM1:Sugar1                  0.14        0.08                0.00
CM1:Sugar2                  0.08        0.05                0.00
CM1:CDs1                    0.00        0.00                0.24
CM1:CDs2                    0.04        0.05                0.23
CM1:CDs3                    0.05        0.07                0.13
Sugar1:CDs1                 0.04        0.03                0.14
Sugar2:CDs1                 0.07        0.05                0.08
Sugar1:CDs2                 0.02        0.02                0.47
Sugar2:CDs2                 0.04        0.03                0.02
Sugar1:CDs3                 0.02        0.09                0.16
Sugar2:CDs3                 0.03        0.16                0.09
ShakFreq1:FilledVol1 ShakFreq1:FilledVol2 ShakFreq1:CM1
Light1                               0.14                 0.00          0.11
ShakFreq1                            0.00                 0.00          0.00
InocSize1                            0.00                 0.00          0.00
FilledVol1                           0.00                 0.00          0.00
FilledVol2                           0.00                 0.00          0.00
CM1                                  0.00                 0.00          0.00
Sugar1                               0.00                 0.00          0.00
Sugar2                               0.00                 0.00          0.00
CDs1                                 0.05                 0.08          0.00
CDs2                                 0.03                 0.05          0.09
CDs3                                 0.08                 0.14          0.06
Light1:ShakFreq1                     0.00                 0.00          0.00
Light1:InocSize1                     0.00                 0.24          0.00
Light1:FilledVol1                    0.00                 0.10          0.00
Light1:FilledVol2                    0.10                 0.00          0.08
Light1:CM1                           0.00                 0.08          0.00
Light1:Sugar1                        0.33                 0.29          0.27
Light1:Sugar2                        0.10                 0.00          0.16
Light1:CDs1                          0.00                 0.17          0.08
Light1:CDs2                          0.00                 0.10          0.05
Light1:CDs3                          0.00                 0.14          0.06
ShakFreq1:InocSize1                  0.00                 0.00          0.00
ShakFreq1:FilledVol1                 1.00                 0.00          0.00
ShakFreq1:FilledVol2                 0.00                 1.00          0.00
ShakFreq1:CM1                        0.00                 0.00          1.00
ShakFreq1:Sugar1                     0.00                 0.00          0.00
ShakFreq1:Sugar2                     0.00                 0.00          0.00
ShakFreq1:CDs1                       0.00                 0.00          0.00
ShakFreq1:CDs2                       0.00                 0.00          0.00
ShakFreq1:CDs3                       0.00                 0.00          0.00
InocSize1:FilledVol1                 0.00                 0.00          0.00
InocSize1:FilledVol2                 0.00                 0.00          0.00
InocSize1:CM1                        0.00                 0.00          0.00
InocSize1:Sugar1                     0.00                 0.00          0.00
InocSize1:Sugar2                     0.00                 0.00          0.00
InocSize1:CDs1                       0.05                 0.08          0.24
InocSize1:CDs2                       0.19                 0.08          0.23
InocSize1:CDs3                       0.08                 0.05          0.13
FilledVol1:CM1                       0.00                 0.00          0.00
FilledVol2:CM1                       0.00                 0.00          0.00
FilledVol1:Sugar1                    0.00                 0.00          0.00
FilledVol2:Sugar1                    0.00                 0.00          0.00
FilledVol1:Sugar2                    0.00                 0.00          0.00
FilledVol2:Sugar2                    0.00                 0.00          0.00
FilledVol1:CDs1                      0.06                 0.03          0.24
FilledVol2:CDs1                      0.03                 0.06          0.08
FilledVol1:CDs2                      0.03                 0.02          0.14
FilledVol2:CDs2                      0.02                 0.03          0.21
FilledVol1:CDs3                      0.10                 0.06          0.39
FilledVol2:CDs3                      0.06                 0.10          0.05
CM1:Sugar1                           0.00                 0.00          0.00
CM1:Sugar2                           0.00                 0.00          0.00
CM1:CDs1                             0.24                 0.08          0.00
CM1:CDs2                             0.14                 0.21          0.00
CM1:CDs3                             0.39                 0.05          0.00
Sugar1:CDs1                          0.18                 0.24          0.14
Sugar2:CDs1                          0.17                 0.06          0.08
Sugar1:CDs2                          0.03                 0.06          0.25
Sugar2:CDs2                          0.14                 0.17          0.11
Sugar1:CDs3                          0.19                 0.33          0.00
Sugar2:CDs3                          0.11                 0.19          0.18
ShakFreq1:Sugar1 ShakFreq1:Sugar2 ShakFreq1:CDs1
Light1                           0.00             0.00           0.24
ShakFreq1                        0.00             0.00           0.00
InocSize1                        0.00             0.00           0.00
FilledVol1                       0.00             0.00           0.05
FilledVol2                       0.00             0.00           0.08
CM1                              0.00             0.00           0.00
Sugar1                           0.00             0.00           0.05
Sugar2                           0.00             0.00           0.08
CDs1                             0.05             0.08           0.00
CDs2                             0.08             0.14           0.00
CDs3                             0.00             0.00           0.00
Light1:ShakFreq1                 0.00             0.00           0.00
Light1:InocSize1                 0.00             0.00           0.16
Light1:FilledVol1                0.33             0.10           0.00
Light1:FilledVol2                0.29             0.00           0.17
Light1:CM1                       0.27             0.16           0.08
Light1:Sugar1                    0.00             0.00           0.10
Light1:Sugar2                    0.00             0.00           0.17
Light1:CDs1                      0.10             0.17           0.00
Light1:CDs2                      0.06             0.10           0.19
Light1:CDs3                      0.08             0.14           0.14
ShakFreq1:InocSize1              0.00             0.00           0.00
ShakFreq1:FilledVol1             0.00             0.00           0.00
ShakFreq1:FilledVol2             0.00             0.00           0.00
ShakFreq1:CM1                    0.00             0.00           0.00
ShakFreq1:Sugar1                 1.00             0.00           0.00
ShakFreq1:Sugar2                 0.00             1.00           0.00
ShakFreq1:CDs1                   0.00             0.00           1.00
ShakFreq1:CDs2                   0.00             0.00           0.00
ShakFreq1:CDs3                   0.00             0.00           0.00
InocSize1:FilledVol1             0.00             0.00           0.05
InocSize1:FilledVol2             0.00             0.00           0.08
InocSize1:CM1                    0.00             0.00           0.24
InocSize1:Sugar1                 0.00             0.00           0.14
InocSize1:Sugar2                 0.00             0.00           0.08
InocSize1:CDs1                   0.14             0.08           0.11
InocSize1:CDs2                   0.47             0.02           0.00
InocSize1:CDs3                   0.16             0.09           0.00
FilledVol1:CM1                   0.00             0.00           0.24
FilledVol2:CM1                   0.00             0.00           0.08
FilledVol1:Sugar1                0.00             0.00           0.18
FilledVol2:Sugar1                0.00             0.00           0.24
FilledVol1:Sugar2                0.00             0.00           0.17
FilledVol2:Sugar2                0.00             0.00           0.06
FilledVol1:CDs1                  0.18             0.17           0.07
FilledVol2:CDs1                  0.24             0.06           0.12
FilledVol1:CDs2                  0.03             0.14           0.04
FilledVol2:CDs2                  0.06             0.17           0.07
FilledVol1:CDs3                  0.19             0.11           0.03
FilledVol2:CDs3                  0.33             0.19           0.05
CM1:Sugar1                       0.00             0.00           0.14
CM1:Sugar2                       0.00             0.00           0.08
CM1:CDs1                         0.14             0.08           0.11
CM1:CDs2                         0.25             0.11           0.00
CM1:CDs3                         0.00             0.18           0.00
Sugar1:CDs1                      0.06             0.03           0.07
Sugar2:CDs1                      0.03             0.06           0.12
Sugar1:CDs2                      0.10             0.06           0.04
Sugar2:CDs2                      0.06             0.10           0.07
Sugar1:CDs3                      0.00             0.00           0.03
Sugar2:CDs3                      0.00             0.00           0.05
ShakFreq1:CDs2 ShakFreq1:CDs3 InocSize1:FilledVol1
Light1                         0.14           0.19                 0.00
ShakFreq1                      0.00           0.00                 0.00
InocSize1                      0.09           0.06                 0.00
FilledVol1                     0.03           0.08                 0.00
FilledVol2                     0.05           0.14                 0.00
CM1                            0.09           0.06                 0.00
Sugar1                         0.08           0.00                 0.00
Sugar2                         0.14           0.00                 0.00
CDs1                           0.00           0.00                 0.00
CDs2                           0.00           0.00                 0.00
CDs3                           0.00           0.00                 0.00
Light1:ShakFreq1               0.00           0.00                 0.00
Light1:InocSize1               0.09           0.13                 0.00
Light1:FilledVol1              0.00           0.00                 0.00
Light1:FilledVol2              0.10           0.14                 0.00
Light1:CM1                     0.05           0.06                 0.00
Light1:Sugar1                  0.06           0.08                 0.00
Light1:Sugar2                  0.10           0.14                 0.00
Light1:CDs1                    0.19           0.14                 0.14
Light1:CDs2                    0.22           0.08                 0.47
Light1:CDs3                    0.08           0.22                 0.16
ShakFreq1:InocSize1            0.00           0.00                 0.00
ShakFreq1:FilledVol1           0.00           0.00                 0.00
ShakFreq1:FilledVol2           0.00           0.00                 0.00
ShakFreq1:CM1                  0.00           0.00                 0.00
ShakFreq1:Sugar1               0.00           0.00                 0.00
ShakFreq1:Sugar2               0.00           0.00                 0.00
ShakFreq1:CDs1                 0.00           0.00                 0.05
ShakFreq1:CDs2                 1.00           0.00                 0.19
ShakFreq1:CDs3                 0.00           1.00                 0.08
InocSize1:FilledVol1           0.19           0.08                 1.00
InocSize1:FilledVol2           0.08           0.05                 0.00
InocSize1:CM1                  0.23           0.13                 0.00
InocSize1:Sugar1               0.47           0.16                 0.00
InocSize1:Sugar2               0.02           0.09                 0.00
InocSize1:CDs1                 0.00           0.00                 0.00
InocSize1:CDs2                 0.04           0.05                 0.00
InocSize1:CDs3                 0.05           0.07                 0.00
FilledVol1:CM1                 0.14           0.39                 0.00
FilledVol2:CM1                 0.21           0.05                 0.00
FilledVol1:Sugar1              0.03           0.19                 0.00
FilledVol2:Sugar1              0.06           0.33                 0.00
FilledVol1:Sugar2              0.14           0.11                 0.00
FilledVol2:Sugar2              0.17           0.19                 0.00
FilledVol1:CDs1                0.04           0.03                 0.00
FilledVol2:CDs1                0.07           0.05                 0.00
FilledVol1:CDs2                0.02           0.02                 0.00
FilledVol2:CDs2                0.04           0.03                 0.00
FilledVol1:CDs3                0.02           0.09                 0.00
FilledVol2:CDs3                0.03           0.16                 0.00
CM1:Sugar1                     0.25           0.00                 0.00
CM1:Sugar2                     0.11           0.18                 0.00
CM1:CDs1                       0.00           0.00                 0.00
CM1:CDs2                       0.04           0.05                 0.00
CM1:CDs3                       0.05           0.07                 0.00
Sugar1:CDs1                    0.04           0.03                 0.00
Sugar2:CDs1                    0.07           0.05                 0.00
Sugar1:CDs2                    0.07           0.05                 0.00
Sugar2:CDs2                    0.12           0.08                 0.00
Sugar1:CDs3                    0.05           0.00                 0.00
Sugar2:CDs3                    0.08           0.00                 0.00
InocSize1:FilledVol2 InocSize1:CM1 InocSize1:Sugar1
Light1                               0.00          0.00             0.00
ShakFreq1                            0.00          0.00             0.00
InocSize1                            0.00          0.00             0.00
FilledVol1                           0.00          0.00             0.00
FilledVol2                           0.00          0.00             0.00
CM1                                  0.00          0.00             0.00
Sugar1                               0.00          0.00             0.00
Sugar2                               0.00          0.00             0.00
CDs1                                 0.00          0.24             0.00
CDs2                                 0.00          0.14             0.00
CDs3                                 0.00          0.19             0.00
Light1:ShakFreq1                     0.24          0.00             0.00
Light1:InocSize1                     0.00          0.00             0.00
Light1:FilledVol1                    0.00          0.00             0.00
Light1:FilledVol2                    0.00          0.00             0.00
Light1:CM1                           0.00          0.00             0.00
Light1:Sugar1                        0.00          0.00             0.00
Light1:Sugar2                        0.00          0.00             0.00
Light1:CDs1                          0.19          0.00             0.05
Light1:CDs2                          0.21          0.00             0.03
Light1:CDs3                          0.09          0.00             0.08
ShakFreq1:InocSize1                  0.00          0.00             0.00
ShakFreq1:FilledVol1                 0.00          0.00             0.00
ShakFreq1:FilledVol2                 0.00          0.00             0.00
ShakFreq1:CM1                        0.00          0.00             0.00
ShakFreq1:Sugar1                     0.00          0.00             0.00
ShakFreq1:Sugar2                     0.00          0.00             0.00
ShakFreq1:CDs1                       0.08          0.24             0.14
ShakFreq1:CDs2                       0.08          0.23             0.47
ShakFreq1:CDs3                       0.05          0.13             0.16
InocSize1:FilledVol1                 0.00          0.00             0.00
InocSize1:FilledVol2                 1.00          0.00             0.00
InocSize1:CM1                        0.00          1.00             0.00
InocSize1:Sugar1                     0.00          0.00             1.00
InocSize1:Sugar2                     0.00          0.00             0.00
InocSize1:CDs1                       0.00          0.00             0.00
InocSize1:CDs2                       0.00          0.00             0.00
InocSize1:CDs3                       0.00          0.00             0.00
FilledVol1:CM1                       0.00          0.00             0.00
FilledVol2:CM1                       0.00          0.00             0.00
FilledVol1:Sugar1                    0.00          0.00             0.00
FilledVol2:Sugar1                    0.00          0.00             0.00
FilledVol1:Sugar2                    0.00          0.00             0.00
FilledVol2:Sugar2                    0.00          0.00             0.00
FilledVol1:CDs1                      0.00          0.00             0.00
FilledVol2:CDs1                      0.00          0.00             0.00
FilledVol1:CDs2                      0.00          0.00             0.00
FilledVol2:CDs2                      0.00          0.00             0.00
FilledVol1:CDs3                      0.00          0.00             0.00
FilledVol2:CDs3                      0.00          0.00             0.00
CM1:Sugar1                           0.00          0.00             0.00
CM1:Sugar2                           0.00          0.00             0.00
CM1:CDs1                             0.00          0.00             0.00
CM1:CDs2                             0.00          0.00             0.00
CM1:CDs3                             0.00          0.00             0.00
Sugar1:CDs1                          0.00          0.00             0.00
Sugar2:CDs1                          0.00          0.00             0.00
Sugar1:CDs2                          0.00          0.00             0.00
Sugar2:CDs2                          0.00          0.00             0.00
Sugar1:CDs3                          0.00          0.00             0.00
Sugar2:CDs3                          0.00          0.00             0.00
InocSize1:Sugar2 InocSize1:CDs1 InocSize1:CDs2
Light1                           0.00           0.08           0.05
ShakFreq1                        0.00           0.00           0.09
InocSize1                        0.00           0.00           0.00
FilledVol1                       0.00           0.00           0.00
FilledVol2                       0.00           0.00           0.00
CM1                              0.00           0.24           0.14
Sugar1                           0.00           0.00           0.00
Sugar2                           0.00           0.00           0.00
CDs1                             0.00           0.00           0.00
CDs2                             0.00           0.00           0.00
CDs3                             0.00           0.00           0.00
Light1:ShakFreq1                 0.00           0.16           0.09
Light1:InocSize1                 0.00           0.00           0.00
Light1:FilledVol1                0.00           0.14           0.47
Light1:FilledVol2                0.00           0.19           0.21
Light1:CM1                       0.00           0.00           0.00
Light1:Sugar1                    0.00           0.05           0.03
Light1:Sugar2                    0.00           0.03           0.27
Light1:CDs1                      0.03           0.00           0.06
Light1:CDs2                      0.27           0.06           0.07
Light1:CDs3                      0.23           0.05           0.03
ShakFreq1:InocSize1              0.00           0.00           0.00
ShakFreq1:FilledVol1             0.00           0.05           0.19
ShakFreq1:FilledVol2             0.00           0.08           0.08
ShakFreq1:CM1                    0.00           0.24           0.23
ShakFreq1:Sugar1                 0.00           0.14           0.47
ShakFreq1:Sugar2                 0.00           0.08           0.02
ShakFreq1:CDs1                   0.08           0.11           0.00
ShakFreq1:CDs2                   0.02           0.00           0.04
ShakFreq1:CDs3                   0.09           0.00           0.05
InocSize1:FilledVol1             0.00           0.00           0.00
InocSize1:FilledVol2             0.00           0.00           0.00
InocSize1:CM1                    0.00           0.00           0.00
InocSize1:Sugar1                 0.00           0.00           0.00
InocSize1:Sugar2                 1.00           0.00           0.00
InocSize1:CDs1                   0.00           1.00           0.00
InocSize1:CDs2                   0.00           0.00           1.00
InocSize1:CDs3                   0.00           0.00           0.00
FilledVol1:CM1                   0.00           0.00           0.00
FilledVol2:CM1                   0.00           0.00           0.00
FilledVol1:Sugar1                0.00           0.00           0.00
FilledVol2:Sugar1                0.00           0.00           0.00
FilledVol1:Sugar2                0.00           0.00           0.00
FilledVol2:Sugar2                0.00           0.00           0.00
FilledVol1:CDs1                  0.00           0.00           0.00
FilledVol2:CDs1                  0.00           0.00           0.00
FilledVol1:CDs2                  0.00           0.00           0.00
FilledVol2:CDs2                  0.00           0.00           0.00
FilledVol1:CDs3                  0.00           0.00           0.00
FilledVol2:CDs3                  0.00           0.00           0.00
CM1:Sugar1                       0.00           0.00           0.00
CM1:Sugar2                       0.00           0.00           0.00
CM1:CDs1                         0.00           0.00           0.19
CM1:CDs2                         0.00           0.19           0.22
CM1:CDs3                         0.00           0.14           0.08
Sugar1:CDs1                      0.00           0.00           0.00
Sugar2:CDs1                      0.00           0.00           0.00
Sugar1:CDs2                      0.00           0.00           0.00
Sugar2:CDs2                      0.00           0.00           0.00
Sugar1:CDs3                      0.00           0.00           0.00
Sugar2:CDs3                      0.00           0.00           0.00
InocSize1:CDs3 FilledVol1:CM1 FilledVol2:CM1
Light1                         0.06           0.00           0.00
ShakFreq1                      0.06           0.00           0.00
InocSize1                      0.00           0.00           0.00
FilledVol1                     0.00           0.00           0.00
FilledVol2                     0.00           0.00           0.00
CM1                            0.19           0.00           0.00
Sugar1                         0.00           0.00           0.00
Sugar2                         0.00           0.00           0.00
CDs1                           0.00           0.00           0.00
CDs2                           0.00           0.00           0.00
CDs3                           0.00           0.00           0.00
Light1:ShakFreq1               0.13           0.00           0.08
Light1:InocSize1               0.00           0.00           0.00
Light1:FilledVol1              0.16           0.00           0.00
Light1:FilledVol2              0.09           0.00           0.00
Light1:CM1                     0.00           0.00           0.00
Light1:Sugar1                  0.08           0.00           0.00
Light1:Sugar2                  0.23           0.00           0.00
Light1:CDs1                    0.05           0.05           0.08
Light1:CDs2                    0.03           0.14           0.02
Light1:CDs3                    0.07           0.16           0.09
ShakFreq1:InocSize1            0.00           0.00           0.00
ShakFreq1:FilledVol1           0.08           0.00           0.00
ShakFreq1:FilledVol2           0.05           0.00           0.00
ShakFreq1:CM1                  0.13           0.00           0.00
ShakFreq1:Sugar1               0.16           0.00           0.00
ShakFreq1:Sugar2               0.09           0.00           0.00
ShakFreq1:CDs1                 0.00           0.24           0.08
ShakFreq1:CDs2                 0.05           0.14           0.21
ShakFreq1:CDs3                 0.07           0.39           0.05
InocSize1:FilledVol1           0.00           0.00           0.00
InocSize1:FilledVol2           0.00           0.00           0.00
InocSize1:CM1                  0.00           0.00           0.00
InocSize1:Sugar1               0.00           0.00           0.00
InocSize1:Sugar2               0.00           0.00           0.00
InocSize1:CDs1                 0.00           0.00           0.00
InocSize1:CDs2                 0.00           0.00           0.00
InocSize1:CDs3                 1.00           0.00           0.00
FilledVol1:CM1                 0.00           1.00           0.00
FilledVol2:CM1                 0.00           0.00           1.00
FilledVol1:Sugar1              0.00           0.00           0.00
FilledVol2:Sugar1              0.00           0.00           0.00
FilledVol1:Sugar2              0.00           0.00           0.00
FilledVol2:Sugar2              0.00           0.00           0.00
FilledVol1:CDs1                0.00           0.00           0.00
FilledVol2:CDs1                0.00           0.00           0.00
FilledVol1:CDs2                0.00           0.00           0.00
FilledVol2:CDs2                0.00           0.00           0.00
FilledVol1:CDs3                0.00           0.00           0.00
FilledVol2:CDs3                0.00           0.00           0.00
CM1:Sugar1                     0.00           0.00           0.00
CM1:Sugar2                     0.00           0.00           0.00
CM1:CDs1                       0.14           0.00           0.00
CM1:CDs2                       0.08           0.00           0.00
CM1:CDs3                       0.22           0.00           0.00
Sugar1:CDs1                    0.00           0.35           0.20
Sugar2:CDs1                    0.00           0.20           0.35
Sugar1:CDs2                    0.00           0.20           0.12
Sugar2:CDs2                    0.00           0.12           0.20
Sugar1:CDs3                    0.00           0.29           0.17
Sugar2:CDs3                    0.00           0.17           0.29
FilledVol1:Sugar1 FilledVol2:Sugar1 FilledVol1:Sugar2
Light1                            0.00              0.00              0.00
ShakFreq1                         0.00              0.00              0.00
InocSize1                         0.00              0.00              0.00
FilledVol1                        0.00              0.00              0.00
FilledVol2                        0.00              0.00              0.00
CM1                               0.00              0.00              0.00
Sugar1                            0.00              0.00              0.00
Sugar2                            0.00              0.00              0.00
CDs1                              0.00              0.00              0.00
CDs2                              0.00              0.00              0.00
CDs3                              0.00              0.00              0.00
Light1:ShakFreq1                  0.33              0.29              0.10
Light1:InocSize1                  0.00              0.00              0.00
Light1:FilledVol1                 0.00              0.00              0.00
Light1:FilledVol2                 0.00              0.00              0.00
Light1:CM1                        0.00              0.00              0.00
Light1:Sugar1                     0.00              0.00              0.00
Light1:Sugar2                     0.00              0.00              0.00
Light1:CDs1                       0.06              0.03              0.03
Light1:CDs2                       0.03              0.02              0.18
Light1:CDs3                       0.10              0.06              0.17
ShakFreq1:InocSize1               0.00              0.00              0.00
ShakFreq1:FilledVol1              0.00              0.00              0.00
ShakFreq1:FilledVol2              0.00              0.00              0.00
ShakFreq1:CM1                     0.00              0.00              0.00
ShakFreq1:Sugar1                  0.00              0.00              0.00
ShakFreq1:Sugar2                  0.00              0.00              0.00
ShakFreq1:CDs1                    0.18              0.24              0.17
ShakFreq1:CDs2                    0.03              0.06              0.14
ShakFreq1:CDs3                    0.19              0.33              0.11
InocSize1:FilledVol1              0.00              0.00              0.00
InocSize1:FilledVol2              0.00              0.00              0.00
InocSize1:CM1                     0.00              0.00              0.00
InocSize1:Sugar1                  0.00              0.00              0.00
InocSize1:Sugar2                  0.00              0.00              0.00
InocSize1:CDs1                    0.00              0.00              0.00
InocSize1:CDs2                    0.00              0.00              0.00
InocSize1:CDs3                    0.00              0.00              0.00
FilledVol1:CM1                    0.00              0.00              0.00
FilledVol2:CM1                    0.00              0.00              0.00
FilledVol1:Sugar1                 1.00              0.00              0.00
FilledVol2:Sugar1                 0.00              1.00              0.00
FilledVol1:Sugar2                 0.00              0.00              1.00
FilledVol2:Sugar2                 0.00              0.00              0.00
FilledVol1:CDs1                   0.00              0.00              0.00
FilledVol2:CDs1                   0.00              0.00              0.00
FilledVol1:CDs2                   0.00              0.00              0.00
FilledVol2:CDs2                   0.00              0.00              0.00
FilledVol1:CDs3                   0.00              0.00              0.00
FilledVol2:CDs3                   0.00              0.00              0.00
CM1:Sugar1                        0.00              0.00              0.00
CM1:Sugar2                        0.00              0.00              0.00
CM1:CDs1                          0.35              0.20              0.20
CM1:CDs2                          0.20              0.12              0.12
CM1:CDs3                          0.29              0.17              0.17
Sugar1:CDs1                       0.00              0.00              0.00
Sugar2:CDs1                       0.00              0.00              0.00
Sugar1:CDs2                       0.00              0.00              0.00
Sugar2:CDs2                       0.00              0.00              0.00
Sugar1:CDs3                       0.00              0.00              0.00
Sugar2:CDs3                       0.00              0.00              0.00
FilledVol2:Sugar2 FilledVol1:CDs1 FilledVol2:CDs1
Light1                            0.00            0.05            0.08
ShakFreq1                         0.00            0.05            0.08
InocSize1                         0.00            0.00            0.00
FilledVol1                        0.00            0.00            0.00
FilledVol2                        0.00            0.00            0.00
CM1                               0.00            0.00            0.00
Sugar1                            0.00            0.00            0.00
Sugar2                            0.00            0.00            0.00
CDs1                              0.00            0.00            0.00
CDs2                              0.00            0.00            0.00
CDs3                              0.00            0.00            0.00
Light1:ShakFreq1                  0.00            0.00            0.17
Light1:InocSize1                  0.00            0.14            0.19
Light1:FilledVol1                 0.00            0.06            0.03
Light1:FilledVol2                 0.00            0.03            0.06
Light1:CM1                        0.00            0.05            0.08
Light1:Sugar1                     0.00            0.06            0.03
Light1:Sugar2                     0.00            0.03            0.18
Light1:CDs1                       0.18            0.07            0.12
Light1:CDs2                       0.17            0.04            0.07
Light1:CDs3                       0.10            0.03            0.05
ShakFreq1:InocSize1               0.00            0.05            0.08
ShakFreq1:FilledVol1              0.00            0.06            0.03
ShakFreq1:FilledVol2              0.00            0.03            0.06
ShakFreq1:CM1                     0.00            0.24            0.08
ShakFreq1:Sugar1                  0.00            0.18            0.24
ShakFreq1:Sugar2                  0.00            0.17            0.06
ShakFreq1:CDs1                    0.06            0.07            0.12
ShakFreq1:CDs2                    0.17            0.04            0.07
ShakFreq1:CDs3                    0.19            0.03            0.05
InocSize1:FilledVol1              0.00            0.00            0.00
InocSize1:FilledVol2              0.00            0.00            0.00
InocSize1:CM1                     0.00            0.00            0.00
InocSize1:Sugar1                  0.00            0.00            0.00
InocSize1:Sugar2                  0.00            0.00            0.00
InocSize1:CDs1                    0.00            0.00            0.00
InocSize1:CDs2                    0.00            0.00            0.00
InocSize1:CDs3                    0.00            0.00            0.00
FilledVol1:CM1                    0.00            0.00            0.00
FilledVol2:CM1                    0.00            0.00            0.00
FilledVol1:Sugar1                 0.00            0.00            0.00
FilledVol2:Sugar1                 0.00            0.00            0.00
FilledVol1:Sugar2                 0.00            0.00            0.00
FilledVol2:Sugar2                 1.00            0.00            0.00
FilledVol1:CDs1                   0.00            1.00            0.00
FilledVol2:CDs1                   0.00            0.00            1.00
FilledVol1:CDs2                   0.00            0.00            0.00
FilledVol2:CDs2                   0.00            0.00            0.00
FilledVol1:CDs3                   0.00            0.00            0.00
FilledVol2:CDs3                   0.00            0.00            0.00
CM1:Sugar1                        0.00            0.35            0.20
CM1:Sugar2                        0.00            0.20            0.35
CM1:CDs1                          0.35            0.00            0.00
CM1:CDs2                          0.20            0.00            0.00
CM1:CDs3                          0.29            0.00            0.00
Sugar1:CDs1                       0.00            0.00            0.00
Sugar2:CDs1                       0.00            0.00            0.00
Sugar1:CDs2                       0.00            0.00            0.00
Sugar2:CDs2                       0.00            0.00            0.00
Sugar1:CDs3                       0.00            0.00            0.00
Sugar2:CDs3                       0.00            0.00            0.00
FilledVol1:CDs2 FilledVol2:CDs2 FilledVol1:CDs3
Light1                          0.08            0.14            0.00
ShakFreq1                       0.03            0.05            0.08
InocSize1                       0.00            0.00            0.00
FilledVol1                      0.00            0.00            0.00
FilledVol2                      0.00            0.00            0.00
CM1                             0.00            0.00            0.00
Sugar1                          0.00            0.00            0.00
Sugar2                          0.00            0.00            0.00
CDs1                            0.00            0.00            0.00
CDs2                            0.00            0.00            0.00
CDs3                            0.00            0.00            0.00
Light1:ShakFreq1                0.00            0.10            0.00
Light1:InocSize1                0.47            0.21            0.16
Light1:FilledVol1               0.10            0.06            0.00
Light1:FilledVol2               0.06            0.10            0.00
Light1:CM1                      0.14            0.02            0.16
Light1:Sugar1                   0.03            0.02            0.10
Light1:Sugar2                   0.18            0.17            0.17
Light1:CDs1                     0.04            0.07            0.03
Light1:CDs2                     0.07            0.12            0.05
Light1:CDs3                     0.05            0.08            0.00
ShakFreq1:InocSize1             0.19            0.08            0.08
ShakFreq1:FilledVol1            0.03            0.02            0.10
ShakFreq1:FilledVol2            0.02            0.03            0.06
ShakFreq1:CM1                   0.14            0.21            0.39
ShakFreq1:Sugar1                0.03            0.06            0.19
ShakFreq1:Sugar2                0.14            0.17            0.11
ShakFreq1:CDs1                  0.04            0.07            0.03
ShakFreq1:CDs2                  0.02            0.04            0.02
ShakFreq1:CDs3                  0.02            0.03            0.09
InocSize1:FilledVol1            0.00            0.00            0.00
InocSize1:FilledVol2            0.00            0.00            0.00
InocSize1:CM1                   0.00            0.00            0.00
InocSize1:Sugar1                0.00            0.00            0.00
InocSize1:Sugar2                0.00            0.00            0.00
InocSize1:CDs1                  0.00            0.00            0.00
InocSize1:CDs2                  0.00            0.00            0.00
InocSize1:CDs3                  0.00            0.00            0.00
FilledVol1:CM1                  0.00            0.00            0.00
FilledVol2:CM1                  0.00            0.00            0.00
FilledVol1:Sugar1               0.00            0.00            0.00
FilledVol2:Sugar1               0.00            0.00            0.00
FilledVol1:Sugar2               0.00            0.00            0.00
FilledVol2:Sugar2               0.00            0.00            0.00
FilledVol1:CDs1                 0.00            0.00            0.00
FilledVol2:CDs1                 0.00            0.00            0.00
FilledVol1:CDs2                 1.00            0.00            0.00
FilledVol2:CDs2                 0.00            1.00            0.00
FilledVol1:CDs3                 0.00            0.00            1.00
FilledVol2:CDs3                 0.00            0.00            0.00
CM1:Sugar1                      0.20            0.12            0.29
CM1:Sugar2                      0.12            0.20            0.17
CM1:CDs1                        0.00            0.00            0.00
CM1:CDs2                        0.00            0.00            0.00
CM1:CDs3                        0.00            0.00            0.00
Sugar1:CDs1                     0.00            0.00            0.00
Sugar2:CDs1                     0.00            0.00            0.00
Sugar1:CDs2                     0.00            0.00            0.00
Sugar2:CDs2                     0.00            0.00            0.00
Sugar1:CDs3                     0.00            0.00            0.00
Sugar2:CDs3                     0.00            0.00            0.00
FilledVol2:CDs3 CM1:Sugar1 CM1:Sugar2 CM1:CDs1 CM1:CDs2
Light1                          0.00       0.00       0.00     0.00     0.09
ShakFreq1                       0.14       0.00       0.00     0.00     0.09
InocSize1                       0.00       0.00       0.00     0.24     0.14
FilledVol1                      0.00       0.00       0.00     0.00     0.00
FilledVol2                      0.00       0.00       0.00     0.00     0.00
CM1                             0.00       0.00       0.00     0.00     0.00
Sugar1                          0.00       0.00       0.00     0.00     0.00
Sugar2                          0.00       0.00       0.00     0.00     0.00
CDs1                            0.00       0.00       0.00     0.00     0.00
CDs2                            0.00       0.00       0.00     0.00     0.00
CDs3                            0.00       0.00       0.00     0.00     0.00
Light1:ShakFreq1                0.14       0.27       0.16     0.08     0.05
Light1:InocSize1                0.09       0.00       0.00     0.00     0.00
Light1:FilledVol1               0.00       0.00       0.00     0.05     0.14
Light1:FilledVol2               0.00       0.00       0.00     0.08     0.02
Light1:CM1                      0.09       0.00       0.00     0.00     0.00
Light1:Sugar1                   0.06       0.00       0.00     0.14     0.14
Light1:Sugar2                   0.10       0.00       0.00     0.08     0.08
Light1:CDs1                     0.05       0.14       0.08     0.11     0.00
Light1:CDs2                     0.08       0.14       0.08     0.00     0.04
Light1:CDs3                     0.00       0.08       0.05     0.00     0.05
ShakFreq1:InocSize1             0.05       0.00       0.00     0.24     0.23
ShakFreq1:FilledVol1            0.06       0.00       0.00     0.24     0.14
ShakFreq1:FilledVol2            0.10       0.00       0.00     0.08     0.21
ShakFreq1:CM1                   0.05       0.00       0.00     0.00     0.00
ShakFreq1:Sugar1                0.33       0.00       0.00     0.14     0.25
ShakFreq1:Sugar2                0.19       0.00       0.00     0.08     0.11
ShakFreq1:CDs1                  0.05       0.14       0.08     0.11     0.00
ShakFreq1:CDs2                  0.03       0.25       0.11     0.00     0.04
ShakFreq1:CDs3                  0.16       0.00       0.18     0.00     0.05
InocSize1:FilledVol1            0.00       0.00       0.00     0.00     0.00
InocSize1:FilledVol2            0.00       0.00       0.00     0.00     0.00
InocSize1:CM1                   0.00       0.00       0.00     0.00     0.00
InocSize1:Sugar1                0.00       0.00       0.00     0.00     0.00
InocSize1:Sugar2                0.00       0.00       0.00     0.00     0.00
InocSize1:CDs1                  0.00       0.00       0.00     0.00     0.19
InocSize1:CDs2                  0.00       0.00       0.00     0.19     0.22
InocSize1:CDs3                  0.00       0.00       0.00     0.14     0.08
FilledVol1:CM1                  0.00       0.00       0.00     0.00     0.00
FilledVol2:CM1                  0.00       0.00       0.00     0.00     0.00
FilledVol1:Sugar1               0.00       0.00       0.00     0.35     0.20
FilledVol2:Sugar1               0.00       0.00       0.00     0.20     0.12
FilledVol1:Sugar2               0.00       0.00       0.00     0.20     0.12
FilledVol2:Sugar2               0.00       0.00       0.00     0.35     0.20
FilledVol1:CDs1                 0.00       0.35       0.20     0.00     0.00
FilledVol2:CDs1                 0.00       0.20       0.35     0.00     0.00
FilledVol1:CDs2                 0.00       0.20       0.12     0.00     0.00
FilledVol2:CDs2                 0.00       0.12       0.20     0.00     0.00
FilledVol1:CDs3                 0.00       0.29       0.17     0.00     0.00
FilledVol2:CDs3                 1.00       0.17       0.29     0.00     0.00
CM1:Sugar1                      0.17       1.00       0.00     0.00     0.00
CM1:Sugar2                      0.29       0.00       1.00     0.00     0.00
CM1:CDs1                        0.00       0.00       0.00     1.00     0.00
CM1:CDs2                        0.00       0.00       0.00     0.00     1.00
CM1:CDs3                        0.00       0.00       0.00     0.00     0.00
Sugar1:CDs1                     0.00       0.00       0.00     0.00     0.00
Sugar2:CDs1                     0.00       0.00       0.00     0.00     0.00
Sugar1:CDs2                     0.00       0.00       0.00     0.00     0.00
Sugar2:CDs2                     0.00       0.00       0.00     0.00     0.00
Sugar1:CDs3                     0.00       0.00       0.00     0.00     0.00
Sugar2:CDs3                     0.00       0.00       0.00     0.00     0.00
CM1:CDs3 Sugar1:CDs1 Sugar2:CDs1 Sugar1:CDs2 Sugar2:CDs2
Light1                   0.06        0.05        0.08        0.03        0.05
ShakFreq1                0.06        0.05        0.08        0.08        0.14
InocSize1                0.19        0.00        0.00        0.00        0.00
FilledVol1               0.00        0.00        0.00        0.00        0.00
FilledVol2               0.00        0.00        0.00        0.00        0.00
CM1                      0.00        0.00        0.00        0.00        0.00
Sugar1                   0.00        0.00        0.00        0.00        0.00
Sugar2                   0.00        0.00        0.00        0.00        0.00
CDs1                     0.00        0.00        0.00        0.00        0.00
CDs2                     0.00        0.00        0.00        0.00        0.00
CDs3                     0.00        0.00        0.00        0.00        0.00
Light1:ShakFreq1         0.06        0.10        0.17        0.06        0.10
Light1:InocSize1         0.00        0.05        0.03        0.03        0.27
Light1:FilledVol1        0.16        0.06        0.03        0.03        0.18
Light1:FilledVol2        0.09        0.03        0.18        0.02        0.17
Light1:CM1               0.00        0.14        0.08        0.14        0.08
Light1:Sugar1            0.08        0.06        0.03        0.03        0.02
Light1:Sugar2            0.05        0.03        0.06        0.02        0.03
Light1:CDs1              0.00        0.07        0.12        0.04        0.07
Light1:CDs2              0.05        0.04        0.07        0.02        0.04
Light1:CDs3              0.07        0.03        0.05        0.02        0.03
ShakFreq1:InocSize1      0.13        0.14        0.08        0.47        0.02
ShakFreq1:FilledVol1     0.39        0.18        0.17        0.03        0.14
ShakFreq1:FilledVol2     0.05        0.24        0.06        0.06        0.17
ShakFreq1:CM1            0.00        0.14        0.08        0.25        0.11
ShakFreq1:Sugar1         0.00        0.06        0.03        0.10        0.06
ShakFreq1:Sugar2         0.18        0.03        0.06        0.06        0.10
ShakFreq1:CDs1           0.00        0.07        0.12        0.04        0.07
ShakFreq1:CDs2           0.05        0.04        0.07        0.07        0.12
ShakFreq1:CDs3           0.07        0.03        0.05        0.05        0.08
InocSize1:FilledVol1     0.00        0.00        0.00        0.00        0.00
InocSize1:FilledVol2     0.00        0.00        0.00        0.00        0.00
InocSize1:CM1            0.00        0.00        0.00        0.00        0.00
InocSize1:Sugar1         0.00        0.00        0.00        0.00        0.00
InocSize1:Sugar2         0.00        0.00        0.00        0.00        0.00
InocSize1:CDs1           0.14        0.00        0.00        0.00        0.00
InocSize1:CDs2           0.08        0.00        0.00        0.00        0.00
InocSize1:CDs3           0.22        0.00        0.00        0.00        0.00
FilledVol1:CM1           0.00        0.35        0.20        0.20        0.12
FilledVol2:CM1           0.00        0.20        0.35        0.12        0.20
FilledVol1:Sugar1        0.29        0.00        0.00        0.00        0.00
FilledVol2:Sugar1        0.17        0.00        0.00        0.00        0.00
FilledVol1:Sugar2        0.17        0.00        0.00        0.00        0.00
FilledVol2:Sugar2        0.29        0.00        0.00        0.00        0.00
FilledVol1:CDs1          0.00        0.00        0.00        0.00        0.00
FilledVol2:CDs1          0.00        0.00        0.00        0.00        0.00
FilledVol1:CDs2          0.00        0.00        0.00        0.00        0.00
FilledVol2:CDs2          0.00        0.00        0.00        0.00        0.00
FilledVol1:CDs3          0.00        0.00        0.00        0.00        0.00
FilledVol2:CDs3          0.00        0.00        0.00        0.00        0.00
CM1:Sugar1               0.00        0.00        0.00        0.00        0.00
CM1:Sugar2               0.00        0.00        0.00        0.00        0.00
CM1:CDs1                 0.00        0.00        0.00        0.00        0.00
CM1:CDs2                 0.00        0.00        0.00        0.00        0.00
CM1:CDs3                 1.00        0.00        0.00        0.00        0.00
Sugar1:CDs1              0.00        1.00        0.00        0.00        0.00
Sugar2:CDs1              0.00        0.00        1.00        0.00        0.00
Sugar1:CDs2              0.00        0.00        0.00        1.00        0.00
Sugar2:CDs2              0.00        0.00        0.00        0.00        1.00
Sugar1:CDs3              0.00        0.00        0.00        0.00        0.00
Sugar2:CDs3              0.00        0.00        0.00        0.00        0.00
Sugar1:CDs3 Sugar2:CDs3
Light1                      0.08        0.14
ShakFreq1                   0.00        0.00
InocSize1                   0.00        0.00
FilledVol1                  0.00        0.00
FilledVol2                  0.00        0.00
CM1                         0.00        0.00
Sugar1                      0.00        0.00
Sugar2                      0.00        0.00
CDs1                        0.00        0.00
CDs2                        0.00        0.00
CDs3                        0.00        0.00
Light1:ShakFreq1            0.08        0.14
Light1:InocSize1            0.08        0.23
Light1:FilledVol1           0.10        0.17
Light1:FilledVol2           0.06        0.10
Light1:CM1                  0.08        0.05
Light1:Sugar1               0.10        0.06
Light1:Sugar2               0.06        0.10
Light1:CDs1                 0.03        0.05
Light1:CDs2                 0.02        0.03
Light1:CDs3                 0.09        0.16
ShakFreq1:InocSize1         0.16        0.09
ShakFreq1:FilledVol1        0.19        0.11
ShakFreq1:FilledVol2        0.33        0.19
ShakFreq1:CM1               0.00        0.18
ShakFreq1:Sugar1            0.00        0.00
ShakFreq1:Sugar2            0.00        0.00
ShakFreq1:CDs1              0.03        0.05
ShakFreq1:CDs2              0.05        0.08
ShakFreq1:CDs3              0.00        0.00
InocSize1:FilledVol1        0.00        0.00
InocSize1:FilledVol2        0.00        0.00
InocSize1:CM1               0.00        0.00
InocSize1:Sugar1            0.00        0.00
InocSize1:Sugar2            0.00        0.00
InocSize1:CDs1              0.00        0.00
InocSize1:CDs2              0.00        0.00
InocSize1:CDs3              0.00        0.00
FilledVol1:CM1              0.29        0.17
FilledVol2:CM1              0.17        0.29
FilledVol1:Sugar1           0.00        0.00
FilledVol2:Sugar1           0.00        0.00
FilledVol1:Sugar2           0.00        0.00
FilledVol2:Sugar2           0.00        0.00
FilledVol1:CDs1             0.00        0.00
FilledVol2:CDs1             0.00        0.00
FilledVol1:CDs2             0.00        0.00
FilledVol2:CDs2             0.00        0.00
FilledVol1:CDs3             0.00        0.00
FilledVol2:CDs3             0.00        0.00
CM1:Sugar1                  0.00        0.00
CM1:Sugar2                  0.00        0.00
CM1:CDs1                    0.00        0.00
CM1:CDs2                    0.00        0.00
CM1:CDs3                    0.00        0.00
Sugar1:CDs1                 0.00        0.00
Sugar2:CDs1                 0.00        0.00
Sugar1:CDs2                 0.00        0.00
Sugar2:CDs2                 0.00        0.00
Sugar1:CDs3                 1.00        0.00
Sugar2:CDs3                 0.00        1.00
```

DoE.base documentation built on Aug. 23, 2018, 1:03 a.m.