TMPLS Results - Plots Tab

Select the Plots tab of the TMPLS Results dialog box to access options for examining the scores and loading factors, etc.

Element Name Description
Loadings and contribution Use the options in this group box to generate histograms and spreadsheets of variable contributions and the p and q loading factors.
Lineplot (p/q) Click this button to create a line plot of the loading factors for the principal component selected in the First list (see below). For the p-loadings, select the X(t, p) option button, otherwise select Y(u, q) for the q-loadings. Then select (highlight) a principal component in the First list for which you want to generate the line plot. You can generate more than one graph by making multiple selections in the First list. Note that different variables contribute differently to the loading factor of a principal component. The loading factors determine the orientation of the principal components with respect to the original coordinate system. The more influential a variable the larger its loading factor. Thus by examining the loading factors we can tell how different variables contribute to the principal components.
Scatter (p/q) Click this button to create a loading scatterplot for the principal components selected in the First and Second lists (see below). First identify a time slot using the Time code option (see below), followed by choosing a subject for the x-axis by selecting either the X(t, p) or Y(u, q) option button in the First group box. Then select one of the components in the components list (also in the First group box). Repeat these steps to select a subject for the y-axis using the options in the Second group box. Click the Scatter (p/q) button to create the graph. As an example, selecting X(t, u) and component 1 in the First group box, and Y(u, q) and component 2 in the Second will create a scatterplot of the x-loadings for component 1 against the y-loadings of component 2.
Note: you can generate more than one graph by making multiple selections in the First and Second lists. For example, you can create the scatterplots of components 1 and 2 vs. 3 if you select components 1 and 2 in the First list and 3 in the Second.

The loading scatterplots can be used to examine the relationship between the process variables and the type of influence they exert on the PC model. Clustered variables are positively related to each other and negatively related to those located on the opposite quadrant. Clustered variables also influence the PC model in similar ways (see PCA and PLS Technical Notes).

Contribution Click this button to generate a histogram of variable contributions in the direction of a principal component for a specific observation. You can uniquely specify an observation by selecting its time slot and batch membership (see the Time and Batch options descriptions below). The principal components can be specified from the First list (see below). Different analysis variables make different contributions to the scores. For more details, see MSPC Technical Notes and PCA and PLS Technical Notes.
Contribution Click this button to generate the above information in spreadsheet format.
Time code Use this option (together with Batch) to specify an observation for which you want to generate a contributions plot.
Batch Use this option (together with Time) to specify an observation for which you want to generate a contributions plot.
Lineplot (t/u) Click this button to create a line plot of the scores for the principal component selected in the First list. You can generate more than one graph by making multiple selections in the First list. The t-scores are the presentation of the original measurements in the new coordinate system. In TMPLS modeling, the scores are used to examine the normality of a batch. The larger the score of a batch the less normal the batch is. Deviations from zero with magnitudes comparable or larger than the control limits may indicate abnormalities.
Click this button to generate the same information as above in spreadsheet format.
Scatter (t/u) Click this button to create a scores scatterplot for the principal components selected in the First and Second lists for the batches in the data set. For example, selecting component 1 in the First list and component 2 in the Second will create a scatterplot of the t-scores of component 1 against the t-scores of component 2. This graph will also display an ellipse, defined as

Observations with score values falling outside this ellipse may be outliers. Note that you can generate more than one graph by making multiple selections in the First and Second lists. For example, you can generate the scatterplots of components 1 and 2 vs. 3 if you select components 1 and 2 in the First list and 3 in the Second. See the Lineplot (t/u) option description above for more details. Each point in the scatterplot corresponds to a batch. Batches falling outside of the ellipse may be identified as abnormal.

Click this button to generate the same information as above in spreadsheet format.
Display text labels Select this check box to include variable names or batch identifiers (whichever appropriate) in the graphs of scores and loading factors (lines and scatter plots).
First The options in this group box will determine the type of data you want displayed in line and scatter plots.
X(t, p) Select this option button to assign the t-scores/p-loadings as the y-axis of the lineplots or as the x-axis of scatter plots.
Y(u, q) Select the option button to assign the u-scores/q-loadings as the y-axis of the line plots or as the x-axis for scatter plots.

The components list displays the list of principal components for the TMPLS model.

Second The options in this group box will determine the type of data you want displayed in scatter plots (see above).
X(t, p) Select this option button to assign the t-scores/p-loadings as the y-axis of the scatter plots.
Y(u, q) Select this option button to assign the u-scores/q-loadings as the y-axis of the scatter plots.

The components list displays the list of principal components for the TMPLS model.

Limits (t/u) The following options are available in the Limits (t/u) group box:
Multiply std. dev. Select this option button to define the upper and lower bounds for the score limits as control standard deviation.
Compute from p If you select this option button, STATISTICA will assume that the scores are normally distributed and the 99% confidence levels are used to define the upper and lower limits.
Control Specify the control limits. When the Multiply std. dev. option button is selected (see above), this value is multiplied by the computed standard deviation for defining the upper and lower limits.
Warning Select this check box to include an upper and a lower warning limit in the scores graph. Specify the warning limit in the adjacent box. For the Multiply std. dev. option, this value will be multiplied by the standard deviation for the scores to define the lower and upper warning limits.