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eAppendix 1: Lasagna plots: A saucy alternative to spaghetti plots

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A missing pattern is artificially used to demonstrate the ability to display occasionally missing data in a lasagna plot. To explore group-level characteristics of percentage strength during overnight sleep development, an additional within-column classification within disease status is performed (Figure 3). The resulting lasagna plot from the within-column sorting also highlights the temporal ripple of the non-SDB group signal.

A lasagna plot shows the 1,031 results of each of the 118 subjects' trajectories in random order with respect to SDB status (Figure 5). Lasagna plots are also useful for visualizing and detecting many of the challenges common to population-based longitudinal cohort studies in epidemiologic research. To facilitate detection of potential informative censoring or a learning effect, neurobehavioral scores were saved based on quintiles of the distribution of scores for the first visit.

The spaghetti plot for the binned quintile data (Figure 8) is overplotted and uninformative because the number of subjects for each lane is indistinguishable. The practice effect is most visible as scores (based on quintiles of the first visit. For large epidemiological datasets modeling an outcome, a lasagna plot can be used to show the proportion of the sample's covariate missing over time (Figure 15).

The second weakness can be improved by binning/pooling time, and the third by sorting or graphing on subsets of the population.

Journal of Clinical Sleep Medicine: JCSM: official publication of the American Academy of Sleep Medicine. The lasagna of the upper panel after a whole row lists the disease status and the date of the EEG recording within the disease status. After sorting, the darker red area indicates that the disease has less percentδ sleep, it can be seen that only the sick are missing data, and that the recorder successfully recorded the first 19 SDB subjects, then malfunctioned for the next 11 recording dates in a way where the measurements fell approximately every hour.

The recorder was set up and operated with full functionality for the next 14 SDB subjects, only to fail again by dropping measurements around three hours from sleep onset for the next six SDB subjects. The problem was resolved and the recorder successfully recorded the rest of the SDB subjects. Bottom panel: A within-column sort applied within disease status on the lasagna plot in the top panel.

Note the increasing and decreasing yellow in the group without SDB, showing the group-level temporal evolution of percent δ sleep in subjects without SDB. Due to the discrete nature of the result, trajectories risk not only crossing each other as in continuous outcome cases, but overlapping each other exactly. The informativeness of the spaghetti plot for discrete data on a moderate number of subjects is limited.

Bottom panel: resulting lasagna plot across the entire row of disease state type and recorded sleep time. The above organization of the data allows easy comparison of absorptive state (ABS) areas, which show that each group has a similar recorded sleep time distribution. For example, notice the absence of a line connecting the 5th quintile node of visit 1 to the 1st quintile node of visit 7 (there is no line running from the upper left corner of the graph to the lower right).

The absence of a line means that no subject was recorded only at the first visit and the last visit with no visits in between recorded with the measurements starting her in the top quintile and going down to the bottom quintile. However, in a classic spaghetti plot of discretized data, the presence of a line across multiple nodes does not indicate that the path was taken by a subject. For example, no subject had only two measurements at visit 1 and visit 5 and went from the upper quintile to the lower quintile, yet there is a line between 1st visit 5th quintile node to the 5th visit 5th quintile node.

One cannot tell from the spaghetti plot alone whether a path is made from one subject between two non-adjacent nodes, or multiple subjects making the pairwise adjacent transitions. For example, the line between 1st visit 5th quintile node to the 5th visit 5th quintile node may consist of four subjects: one goes from the 5th quintile to the 4th from visit 1 to visit 2, one goes from the 4th quintile to the 3rd from visit 2 to visit 3, one goes from the 3rd quintile to the 2nd from visit 3 to visit 4, and one goes from the 2nd quintile to the 1st from visit 4 to visit 5.

Lasagna Plot of Former Lead Workers Study −− Discretized

Lasagna Plot: Subject Specific Trajectory Clustering

Within column sorting: Stacked Bar Chart

Similar trajectories are grouped together and subject-level information is maintained and the association of cognitive ability through the metric of baseline quintiles over time can be examined. If we compare those enrolled in Round 1 from the worst and best quintiles, we see that there is more dropout for those starting in the worst quintile, possibly indicating informative censoring. Making a lasagna graph of such a table gives a heat map that can convey trends more clearly than the numbers themselves.

BLSA sampling density by variable and year, sorted by clusters

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