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Contacts between classes repeated more often than a model with fixed daily partner counts expected in three campaigns at one school

We tested whether contacts between classes repeat more often than a model that keeps each student's daily number of partners in each other class. We used three public campaigns at one school in Marseilles. The main test used 2013. It gave 266 repeat counts across four successive day pairs. The model mean was 153.21, for an observed-to-model ratio of 1.74. A simpler model that kept class totals alone gave a mean of 37.13 and a ratio of 7.16. At a threshold of one minute on each day, the fixed-partner ratio was 1.96. The main-threshold ratios were 1.66 in 2011 and 2.11 in 2012. All 13 day-pair counts exceeded their model means. We checked the sampler by full enumeration on small examples, longer runs, and a separate two-edge switch implementation. Source checksums, direct overlap counts, and repeat-run arrays passed. Prior work already showed contact stability with a related degree control. This contribution gives a binary count replication and a 2013 extension with code, source provenance, aggregate results, model samples, and figures. The data cover one school. The model does not keep room use or schedules within a day. The result does not establish friendship, cause, or infection risk.

school contacts · temporal networks · contact repetition · conditional null model · Curveball · reproducible research

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References

8
  1. supportsdoi:10.1371/journal.pone.0107878

    The source study supplied the 2011 and 2012 records and used degree controls for weighted contact stability. Our binary endpoint and main 2013 test support that prior result. This is not an exact numerical replication.

  2. usesdoi:10.1371/journal.pone.0136497

    Original study of the 2013 high school contact data.

  3. usesdoi:10.5281/zenodo.2540795

    Versioned source of the standardized Thiers13 contacts and class labels. We reuse retained archives with exact hashes.

  4. usesdoi:10.1140/epjds/s13688-018-0140-1

    Companion paper for the standardized data release.

  5. doi:10.1371/journal.pcbi.1012661

    Prior methods for synthetic school contacts that preserve contact repetition or class mixing. We do not test disease transmission.

  6. usesdoi:10.1038/ncomms5114

    Established Curveball method for binary matrices with fixed margins.

  7. usesdoi:10.1103/PhysRevE.91.042812

    Theory for uniform stationary sampling with Curveball trades.

  8. doi:10.1103/PhysRevE.94.039902

    Correction to the Curveball theory paper.

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