Analysis of Binary Multivariate Longitudinal Data via 2-Dimensional Orbits: An Application to the Agincourt Health and Socio-Demographic Surveillance System in South Africa
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{"title"=>"Analysis of binary multivariate longitudinal data via 2-dimensional orbits: An application to the Agincourt Health and Socio-Demographic Surveillance System in South Africa", "type"=>"journal", "authors"=>[{"first_name"=>"Maria Vivien", "last_name"=>"Visaya", "scopus_author_id"=>"16067724600"}, {"first_name"=>"David", "last_name"=>"Sherwell", "scopus_author_id"=>"55532370400"}, {"first_name"=>"Benn", "last_name"=>"Sartorius", "scopus_author_id"=>"12788526800"}, {"first_name"=>"Fabien", "last_name"=>"Cromieres", "scopus_author_id"=>"51664618500"}], "year"=>2015, "source"=>"PLoS ONE", "identifiers"=>{"sgr"=>"84928808447", "pmid"=>"25919116", "isbn"=>"1932-6203", "pui"=>"604027168", "issn"=>"19326203", "scopus"=>"2-s2.0-84928808447", "doi"=>"10.1371/journal.pone.0123812"}, "id"=>"f060778a-9fcf-3e57-b8d2-30b88f70952f", "abstract"=>"We analyse demographic longitudinal survey data of South African (SA) and Mozambican (MOZ) rural households from the Agincourt Health and Socio-Demographic Surveillance System in South Africa. In particular, we determine whether absolute poverty status (APS) is associated with selected household variables pertaining to socio-economic determination, namely household head age, household size, cumulative death, adults to minor ratio, and influx. For comparative purposes, households are classified according to household head nationality (SA or MOZ) and APS (rich or poor). The longitudinal data of each of the four subpopulations (SA rich, SA poor, MOZ rich, and MOZ poor) is a five-dimensional space defined by binary variables (questions), subjects, and time. We use the orbit method to represent binary multivariate longitudinal data (BMLD) of each household as a two-dimensional orbit and to visualise dynamics and behaviour of the population. At each time step, a point (x, y) from the orbit of a household corresponds to the observation of the household, where x is a binary sequence of responses and y is an ordering of variables. The ordering of variables is dynamically rearranged such that clusters and holes associated to least and frequently changing variables in the state space respectively, are exposed. Analysis of orbits reveals information of change at both individual- and population-level, change patterns in the data, capacity of states in the state space, and density of state transitions in the orbits. Analysis of household orbits of the four subpopulations show association between (i) households headed by older adults and rich households, (ii) large household size and poor households, and (iii) households with more minors than adults and poor households. Our results are compared to other methods of BMLD analysis.", "link"=>"http://www.mendeley.com/research/analysis-binary-multivariate-longitudinal-data-via-2dimensional-orbits-application-agincourt-health", "reader_count"=>8, "reader_count_by_academic_status"=>{"Researcher"=>4, "Student > Ph. D. Student"=>2, "Other"=>1, "Student > Master"=>1}, "reader_count_by_user_role"=>{"Researcher"=>4, "Student > Ph. D. Student"=>2, "Other"=>1, "Student > Master"=>1}, "reader_count_by_subject_area"=>{"Nursing and Health Professions"=>2, "Agricultural and Biological Sciences"=>2, "Medicine and Dentistry"=>1, "Social Sciences"=>1, "Computer Science"=>2}, "reader_count_by_subdiscipline"=>{"Medicine and Dentistry"=>{"Medicine and Dentistry"=>1}, "Social Sciences"=>{"Social Sciences"=>1}, "Agricultural and Biological Sciences"=>{"Agricultural and Biological Sciences"=>2}, "Computer Science"=>{"Computer Science"=>2}, "Nursing and Health Professions"=>{"Nursing and Health Professions"=>2}}, "reader_count_by_country"=>{"Switzerland"=>1, "Croatia"=>1}, "group_count"=>0}

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Figshare

  • {"files"=>["https://ndownloader.figshare.com/files/2043155"], "description"=>"<p>Questions with corresponding frequency of answer change in each of the four subpopulations.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397056, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.t006", "stats"=>{"downloads"=>4, "page_views"=>12, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Questions_with_corresponding_frequency_of_answer_change_in_each_of_the_four_subpopulations_/1397056", "title"=>"Questions with corresponding frequency of answer change in each of the four subpopulations.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043156"], "description"=>"<p>Variance Inflation Factor.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397057, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.t007", "stats"=>{"downloads"=>6, "page_views"=>17, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Variance_Inflation_Factor_/1397057", "title"=>"Variance Inflation Factor.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043157"], "description"=>"<p>Spearman’s Rank Correlation Coefficient.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397058, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.t008", "stats"=>{"downloads"=>1, "page_views"=>18, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Spearman_8217_s_Rank_Correlation_Coefficient_/1397058", "title"=>"Spearman’s Rank Correlation Coefficient.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043158"], "description"=>"<p>GEE Model removing the co-linear effect of <i>Q</i><sub>1</sub>.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397059, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.t009", "stats"=>{"downloads"=>2, "page_views"=>13, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_GEE_Model_removing_the_co_linear_effect_of_Q_1_/1397059", "title"=>"GEE Model removing the co-linear effect of <i>Q</i><sub>1</sub>.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043159"], "description"=>"<p>Variance Inflation Factor (removing <i>Q</i><sub>1</sub>).</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397061, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.t010", "stats"=>{"downloads"=>4, "page_views"=>15, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Variance_Inflation_Factor_removing_Q_1_/1397061", "title"=>"Variance Inflation Factor (removing <i>Q</i><sub>1</sub>).", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043161"], "description"=>"<p>Label for answer combination associated to Fig <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0123812#pone.0123812.g015\" target=\"_blank\">15</a> and <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0123812#pone.0123812.g016\" target=\"_blank\">16</a>.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397062, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.t011", "stats"=>{"downloads"=>12, "page_views"=>10, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Label_for_answer_combination_associated_to_Fig_15_and_16_/1397062", "title"=>"Label for answer combination associated to Fig 15 and 16.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043163"], "description"=>"<div><p>We analyse demographic longitudinal survey data of South African (SA) and Mozambican (MOZ) rural households from the Agincourt Health and Socio-Demographic Surveillance System in South Africa. In particular, we determine whether absolute poverty status (APS) is associated with selected household variables pertaining to socio-economic determination, namely household head age, household size, cumulative death, adults to minor ratio, and influx. For comparative purposes, households are classified according to household head nationality (SA or MOZ) and APS (rich or poor). The longitudinal data of each of the four subpopulations (SA rich, SA poor, MOZ rich, and MOZ poor) is a five-dimensional space defined by binary variables (questions), subjects, and time. We use the orbit method to represent binary multivariate longitudinal data (BMLD) of each household as a two-dimensional orbit and to visualise dynamics and behaviour of the population. At each time step, a point (<i>x</i>, <i>y</i>) from the orbit of a household corresponds to the observation of the household, where <i>x</i> is a binary sequence of responses and <i>y</i> is an ordering of variables. The ordering of variables is dynamically rearranged such that clusters and holes associated to least and frequently changing variables in the state space respectively, are exposed. Analysis of orbits reveals information of change at both individual- and population-level, change patterns in the data, capacity of states in the state space, and density of state transitions in the orbits. Analysis of household orbits of the four subpopulations show association between (i) households headed by older adults and rich households, (ii) large household size and poor households, and (iii) households with more minors than adults and poor households. Our results are compared to other methods of BMLD analysis.</p></div>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397064, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812", "stats"=>{"downloads"=>5, "page_views"=>15, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Analysis_of_Binary_Multivariate_Longitudinal_Data_via_2_Dimensional_Orbits_An_Application_to_the_Agincourt_Health_and_Socio_Demographic_Surveillance_System_in_South_Africa_/1397064", "title"=>"Analysis of Binary Multivariate Longitudinal Data via 2-Dimensional Orbits: An Application to the Agincourt Health and Socio-Demographic Surveillance System in South Africa", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043122"], "description"=>"<p>Time series of the three subjects in <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0123812#pone.0123812.t003\" target=\"_blank\">Table 3</a>.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397029, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.g001", "stats"=>{"downloads"=>0, "page_views"=>3, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Time_series_of_the_three_subjects_in_Table_3_/1397029", "title"=>"Time series of the three subjects in Table 3.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043125"], "description"=>"<p>(a) Orbit of subject ℓ staying in subset of <i>S</i><sub>3</sub> where variable 1 is favourable. (b) Time series of the orbit of ℓ.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397032, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.g002", "stats"=>{"downloads"=>2, "page_views"=>3, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Analysis_of_Binary_Multivariate_Longitudinal_Data_via_2_Dimensional_Orbits_An_Application_to_the_Agincourt_Health_and_Socio_Demographic_Surveillance_System_in_South_Africa_Fig_2_/1397032", "title"=>"Analysis of Binary Multivariate Longitudinal Data via 2-Dimensional Orbits: An Application to the Agincourt Health and Socio-Demographic Surveillance System in South Africa - Fig 2", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043127"], "description"=>"<p>Orbit of the three subjects given in <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0123812#pone.0123812.t003\" target=\"_blank\">Table 3</a> (a) in <i>S</i><sub>3</sub> and (b) over time.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397034, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.g003", "stats"=>{"downloads"=>0, "page_views"=>3, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Orbit_of_the_three_subjects_given_in_Table_3_a_in_S_3_and_b_over_time_/1397034", "title"=>"Orbit of the three subjects given in Table 3 (a) in <i>S</i><sub>3</sub> and (b) over time.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043129"], "description"=>"<p>Observe clusters formed in regions of each subpopulation. variable 4 (influx) is most frequently changing in all four subpopulations so orbits do not stay in the region where y = 4****. Not all 5! significance states are shown.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397036, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.g004", "stats"=>{"downloads"=>3, "page_views"=>12, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Orbits_of_a_SA_Rich_b_SA_Poor_c_MOZ_Rich_and_d_MOZ_Poor_households_/1397036", "title"=>"Orbits of (a) SA Rich, (b) SA Poor, (c) MOZ Rich, and (d) MOZ Poor households.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043130"], "description"=>"<p>Observed units that often stay in a region determined by one significant variable often experience the property of that region.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397037, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.g005", "stats"=>{"downloads"=>1, "page_views"=>3, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Regions_in_S_5_determined_by_the_first_significant_variable_/1397037", "title"=>"Regions in <i>S</i><sub>5</sub> determined by the first significant variable.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043131"], "description"=>"<p>Regions in <i>S</i><sub>5</sub> determined by the first and second significant variables.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397038, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.g006", "stats"=>{"downloads"=>3, "page_views"=>4, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Regions_in_S_5_determined_by_the_first_and_second_significant_variables_/1397038", "title"=>"Regions in <i>S</i><sub>5</sub> determined by the first and second significant variables.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043132"], "description"=>"<p>Column structures over clusters of (a) SA Rich, (b) SA Poor, (c) MOZ Rich, and (d) MOZ Poor household orbits in <i>S</i><sub>5</sub>.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397039, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.g007", "stats"=>{"downloads"=>4, "page_views"=>7, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Column_structures_over_clusters_of_a_SA_Rich_b_SA_Poor_c_MOZ_Rich_and_d_MOZ_Poor_household_orbits_in_S_5_/1397039", "title"=>"Column structures over clusters of (a) SA Rich, (b) SA Poor, (c) MOZ Rich, and (d) MOZ Poor household orbits in <i>S</i><sub>5</sub>.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043133"], "description"=>"<p>Accumulated number of visits (height of bars) in <i>S</i><sub>5</sub> of (a) SA Rich, (b) SA Poor, (c) MOZ Rich, and (d) MOZ Poor household orbits.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397040, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.g008", "stats"=>{"downloads"=>2, "page_views"=>3, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Accumulated_number_of_visits_height_of_bars_in_S_5_of_a_SA_Rich_b_SA_Poor_c_MOZ_Rich_and_d_MOZ_Poor_household_orbits_/1397040", "title"=>"Accumulated number of visits (height of bars) in <i>S</i><sub>5</sub> of (a) SA Rich, (b) SA Poor, (c) MOZ Rich, and (d) MOZ Poor household orbits.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043134"], "description"=>"<p>Capacity at each state and each time step in the SA Rich, represented by bubbles.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397041, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.g009", "stats"=>{"downloads"=>2, "page_views"=>9, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Capacity_at_each_state_and_each_time_step_in_the_SA_Rich_represented_by_bubbles_/1397041", "title"=>"Capacity at each state and each time step in the SA Rich, represented by bubbles.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043135"], "description"=>"<p>Percentage of visits of (a) SA Rich, (b) SA Poor, (c) MOZ Rich, and (d) MOZ Poor household orbits to regions in <i>S</i><sub>5</sub> determined by the first and second significant variables.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397042, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.g010", "stats"=>{"downloads"=>4, "page_views"=>12, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Percentage_of_visits_of_a_SA_Rich_b_SA_Poor_c_MOZ_Rich_and_d_MOZ_Poor_household_orbits_to_regions_in_S_5_determined_by_the_first_and_second_significant_variables_/1397042", "title"=>"Percentage of visits of (a) SA Rich, (b) SA Poor, (c) MOZ Rich, and (d) MOZ Poor household orbits to regions in <i>S</i><sub>5</sub> determined by the first and second significant variables.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043136"], "description"=>"<p>This is the zoomed region in <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0123812#pone.0123812.g004\" target=\"_blank\">Fig 4(a)</a> with high percentage of household visit.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397043, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.g011", "stats"=>{"downloads"=>0, "page_views"=>2, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Orbits_in_SA_rich_population_that_cluster_in_the_region_R_HH_40_HS_3_where_both_household_head_and_household_size_are_favourably_constant_/1397043", "title"=>"Orbits in SA rich population that cluster in the region <i>R</i><sub><i>HH</i> ≥ 40, <i>HS</i> ≥ 3</sub> where both household head and household size are favourably constant.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043137"], "description"=>"<p>Highlighted lines are self-transition, i.e. <i>s</i> = <i>s</i>′.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397044, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.g012", "stats"=>{"downloads"=>0, "page_views"=>1, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Densities_d_s_s__100_from_state_s_x_y_to_s__x_y_in_SA_Rich_households_/1397044", "title"=>"Densities <i>d</i>(<i>s</i>, <i>s</i>′) ≥ 100 from state <i>s</i> = (<i>x</i>, <i>y</i>) to <i>s</i>′ = (<i>x</i>′, <i>y</i>′) in SA Rich households.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043138"], "description"=>"<p>State indices associated to states <i>s</i><sub><i>i</i></sub> in the subset <i>R</i><sub><i>HH</i> ≥ 40, <i>HS</i> ≥ 3</sub> of <i>S</i><sub>5</sub> where both household head and household size are favourably constant.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397045, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.g013", "stats"=>{"downloads"=>5, "page_views"=>3, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_State_indices_associated_to_states_s_i_in_the_subset_R_HH_40_HS_3_of_S_5_where_both_household_head_and_household_size_are_favourably_constant_/1397045", "title"=>"State indices associated to states <i>s</i><sub><i>i</i></sub> in the subset <i>R</i><sub><i>HH</i> ≥ 40, <i>HS</i> ≥ 3</sub> of <i>S</i><sub>5</sub> where both household head and household size are favourably constant.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043139"], "description"=>"<p>Number of SA Rich household orbits (capacity) at each time step in states (a) 23, 24, 30, 39, 40, 46, 47, and 48, (b) 47 and 48 associated to variable 4 (IF), (c) 39 and 40 associated to variable 3 (AM); 30, and 46, and (d) 23 and 24 associated to variable 2 (HD).</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397046, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.g014", "stats"=>{"downloads"=>0, "page_views"=>2, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Number_of_SA_Rich_household_orbits_capacity_at_each_time_step_in_states_a_23_24_30_39_40_46_47_and_48_b_47_and_48_associated_to_variable_4_IF_c_39_and_40_associated_to_variable_3_AM_30_and_46_and_d_23_and_24_associated_to_variable_2_HD_/1397046", "title"=>"Number of SA Rich household orbits (capacity) at each time step in states (a) 23, 24, 30, 39, 40, 46, 47, and 48, (b) 47 and 48 associated to variable 4 (IF), (c) 39 and 40 associated to variable 3 (AM); 30, and 46, and (d) 23 and 24 associated to variable 2 (HD).", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043140"], "description"=>"<p>Proportion of households (by nationality and fitness sequence) above poverty line over the survey period 2001–2007.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397047, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.g015", "stats"=>{"downloads"=>3, "page_views"=>12, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Proportion_of_households_by_nationality_and_fitness_sequence_above_poverty_line_over_the_survey_period_2001_8211_2007_/1397047", "title"=>"Proportion of households (by nationality and fitness sequence) above poverty line over the survey period 2001–2007.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043141"], "description"=>"<p>Proportion of households above poverty line by nationality at time (HN, <i>t</i>), where HN = 0 = SA, HN = 1 = MOZ, and <i>t</i> = 2001, 2003, 2005, 2007.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397048, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.g016", "stats"=>{"downloads"=>0, "page_views"=>4, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Proportion_of_households_above_poverty_line_by_nationality_at_time_HN_t_where_HN_0_SA_HN_1_MOZ_and_t_2001_2003_2005_2007_/1397048", "title"=>"Proportion of households above poverty line by nationality at time (HN, <i>t</i>), where HN = 0 = SA, HN = 1 = MOZ, and <i>t</i> = 2001, 2003, 2005, 2007.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043142"], "description"=>"<p>Heat map representing the observed proportion (density) above the poverty line (by nationality) and times 1 = 2001, 2 = 2003, 3 = 2005, 4 = 2007.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397049, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.g017", "stats"=>{"downloads"=>2, "page_views"=>12, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Heat_map_representing_the_observed_proportion_density_above_the_poverty_line_by_nationality_and_times_1_2001_2_2003_3_2005_4_2007_/1397049", "title"=>"Heat map representing the observed proportion (density) above the poverty line (by nationality) and times 1 = 2001, 2 = 2003, 3 = 2005, 4 = 2007.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043143"], "description"=>"<p>Favourable(= 1) and unfavourable(= 0) answer to questions <i>Q</i><sub>0</sub> to <i>Q</i><sub>4</sub>.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397050, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.t001", "stats"=>{"downloads"=>1, "page_views"=>4, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Favourable_1_and_unfavourable_0_answer_to_questions_Q_0_to_Q_4_/1397050", "title"=>"Favourable(= 1) and unfavourable(= 0) answer to questions <i>Q</i><sub>0</sub> to <i>Q</i><sub>4</sub>.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043144"], "description"=>"<p>Distribution of households by nationality and mean APS.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397051, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.t002", "stats"=>{"downloads"=>1, "page_views"=>1, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Distribution_of_households_by_nationality_and_mean_APS_/1397051", "title"=>"Distribution of households by nationality and mean APS.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043147"], "description"=>"<p>Concatenated coded answers of three subjects to questionnaire <i>Q</i> = {<i>Q</i><sub>0</sub>, <i>Q</i><sub>1</sub>, <i>Q</i><sub>2</sub>}.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397053, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.t003", "stats"=>{"downloads"=>4, "page_views"=>18, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Concatenated_coded_answers_of_three_subjects_to_questionnaire_Q_Q_0_Q_1_Q_2_/1397053", "title"=>"Concatenated coded answers of three subjects to questionnaire <i>Q</i> = {<i>Q</i><sub>0</sub>, <i>Q</i><sub>1</sub>, <i>Q</i><sub>2</sub>}.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043152"], "description"=>"<p>Coded data and orbit of a subject ℓ. The number <i>a</i><sub><i>i</i>, <i>t</i></sub> is answer to <i>Q</i><sub><i>i</i></sub> at time <i>t</i>.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397054, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.t004", "stats"=>{"downloads"=>6, "page_views"=>13, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Coded_data_and_orbit_of_a_subject_The_number_a_i_t_is_answer_to_Q_i_at_time_t_/1397054", "title"=>"Coded data and orbit of a subject ℓ. The number <i>a</i><sub><i>i</i>, <i>t</i></sub> is answer to <i>Q</i><sub><i>i</i></sub> at time <i>t</i>.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2015-04-28 03:13:10"}
  • {"files"=>["https://ndownloader.figshare.com/files/2043154"], "description"=>"<p>Percentage of unfavourable = 0 responses in <i>Q</i><sub><i>i</i></sub> for each of the four subpopulations.</p>", "links"=>[], "tags"=>["household head age", "aps", "household head nationality", "BMLD", "Binary Multivariate Longitudinal Data", "moz", "Agincourt Health", "sa", "subpopulations show association", "state space", "household size", "orbit"], "article_id"=>1397055, "categories"=>["Biological Sciences"], "users"=>["Maria Vivien Visaya", "David Sherwell", "Benn Sartorius", "Fabien Cromieres"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0123812.t005", "stats"=>{"downloads"=>7, "page_views"=>8, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Percentage_of_unfavourable_0_responses_in_Q_i_for_each_of_the_four_subpopulations_/1397055", "title"=>"Percentage of unfavourable = 0 responses in <i>Q</i><sub><i>i</i></sub> for each of the four subpopulations.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2015-04-28 03:13:10"}

PMC Usage Stats | Further Information

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  • {"unique-ip"=>"1", "full-text"=>"0", "pdf"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"1", "cited-by"=>"0", "year"=>"2018", "month"=>"7"}
  • {"unique-ip"=>"3", "full-text"=>"3", "pdf"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2018", "month"=>"8"}
  • {"unique-ip"=>"2", "full-text"=>"2", "pdf"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2018", "month"=>"10"}
  • {"unique-ip"=>"8", "full-text"=>"7", "pdf"=>"1", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2018", "month"=>"12"}
  • {"unique-ip"=>"4", "full-text"=>"4", "pdf"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2018", "month"=>"11"}
  • {"unique-ip"=>"2", "full-text"=>"2", "pdf"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2019", "month"=>"2"}
  • {"unique-ip"=>"1", "full-text"=>"1", "pdf"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2019", "month"=>"3"}
  • {"unique-ip"=>"9", "full-text"=>"9", "pdf"=>"3", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2019", "month"=>"4"}
  • {"unique-ip"=>"13", "full-text"=>"12", "pdf"=>"2", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"1", "cited-by"=>"0", "year"=>"2019", "month"=>"5"}
  • {"unique-ip"=>"10", "full-text"=>"9", "pdf"=>"2", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2019", "month"=>"8"}
  • {"unique-ip"=>"5", "full-text"=>"4", "pdf"=>"1", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2019", "month"=>"9"}
  • {"unique-ip"=>"3", "full-text"=>"3", "pdf"=>"1", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2019", "month"=>"10"}
  • {"unique-ip"=>"5", "full-text"=>"4", "pdf"=>"2", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2019", "month"=>"12"}
  • {"unique-ip"=>"3", "full-text"=>"3", "pdf"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2020", "month"=>"2"}
  • {"unique-ip"=>"5", "full-text"=>"5", "pdf"=>"1", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2020", "month"=>"3"}
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  • {"unique-ip"=>"9", "full-text"=>"9", "pdf"=>"2", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2020", "month"=>"6"}

Relative Metric

{"start_date"=>"2015-01-01T00:00:00Z", "end_date"=>"2015-12-31T00:00:00Z", "subject_areas"=>[]}
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