Data for Perception of own centrality in social networks by Kovarik, Ozaita, Sánchez and Brañas-Garza
Abstract
Data for the paper "Perception of own centrality in social networks", by Kovarik, Ozaita, Sánchez and Brañas-Garza, PNAS 122, 2420334122 (2025). Three .csv files: two with the anonymized, otherwise raw network data, and the third one for the node level data.
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Instructions for the data set for “Perception of own centrality in social networks” by Kovarik et al. (2025): (A) Network data: The network data is contained in the graph_edges.csv (list of directed edges) and graph_node.csv (list of nodes) files. The identifiers in these files correspond to the variable “id” from the below list. (B) Node-level data: The file node_level_data.csv contains the non-network data for each individual, including the perception variables, and several individual network statistics. “NA” corresponds to non-available information. The following list explains the different variables: • id: identifier of each person in all the files • clase: the class identifier for people participating the experiment (NA correspond to people how did not participate in the experiment; see also the variable class_all below) • Nacimiento: birth year • Female: female dummy • donacion1000: fraction given in the Dictator game; measure of altruism • crt: answer to the question “A cap and a ball cost € 1.10 in total. The cap costs € 1.00 more than the ball. How much does the ball cost?” from the Cognitive Reflection Test • iq: answer to the following IQ question: “Which of these numbers does not belong in this series: 2 - 3 - 6 - 7 - 8 - 14 - 15 – 30?” • risk1: answer to the question “We toss a coin in the air. Choose one of the following options: 1. To receive €1000 regardless of whether it comes up heads or tails. 2. To receive €2000 if it is heads and €0 if it comes out tails” • risk2: answer to the question “Between the two options below, choose the one that you prefer: 1. To play a lottery where you can win €45 with a 80% of probability, or €0 with 20% chance. 2. To receive €30.” • risk3: answer to the question “Choose between the two options below the one that you prefer: 1. To play a lottery in which you can win €100 with a 25% probability or €0 with 75% of probability. 2. To play a lottery where you can win €130 with a probability of 20% or €0 with a probability of 80%” • risk4: answer to the question “We flip a coin in the air. Would you accept to play the following lottery?: If it is heads, you will receive €1500, while if it is tails, you will pay €1000. YES / NO” • popularidad: perceived popularity, answer to the question “How many classmates do you think are going to assign you at least one lottery ticket?” • persona_central: perceived centrality, answer to the question “Who is the most central person in your class?” • persona_popular: answer to the question “Who is the most popular person in your class?”
• crt_correct: dummy for correctly answering the question from the Cognitive reflection test • crt_intuitive: dummy for providing the intuitive but incorrect answer to the question from the Cognitive reflection test • i_qcorrect: dummy for answering correctly the IQ question (incorrect; do not use; use iq_correct instead) • indegree: network indegree • outdegree: network outdegree • degree: undirected degree • reciprocaldegree: reciprocal degree • betweenness: betweenness centrality • eigen: eigenvector centrality • closeness: closeness centrality • pagerank: PageRank centrality • clustering: individual clustering coefficient • class_all: the class identifier for all people, including both the participates as well as non-participating individuals who were named by at least one participating subject (this variable is therefore more complete than the variable clase introduced above) • num_tickets_out: number of tickets sent to others in the lottery employed to elicit the network structure • num_tickets_in: number of tickets received form others in the lottery employed to elicit the network structure • tamano_clase: class/network size • proporcion_mujeres: share of women in the class • central_count: number of times an individual has been named as the most central individual in the class • popular_count: number of times an individual has been named as the most popular individual in the class • centralidad: perceived centrality, answer to the question “Indicate where do you think you are in terms of centrality in your class,” the provided variable is already inverted such that higher values correspond to individuals who believe that they are more central. • nota_media_general: grade point average (GPA) over their entire study period • nota_media_1curso: grade point average (GPA) in the year of the experiment • doblegrado: dummy for being involved in a double major • stem: dummy for being involved in a STEM degree • iq_correct: dummy for answering correctly the IQ question • riskaversion: indicator of risk aversion computed from questions risk1--risk4, such that higher values corresponds to higher aversion to risk • av_indegree: average class in-degree • sd_indegree: standard deviation of the indegree distribution in the class • av_clustering: average clustering coefficient in the class • density: edge density in the class • coef_variation: coefficient of variation of the class in-degree distribution
• decile_closs_class: true decile of the closeness centrality an individual belongs to in her class • decile_betw_class: true decile of the betweenness centrality an individual belongs to in her class • decile_pagerank_class: true decile of the closeness centrality an individual belongs to in her class • decile_eigen_class: true decile of the closeness centrality an individual belongs to in her class • accuracy_closs_class: inaccuracy of perception of centrality, defined as the difference between the perceived and true decile of closeness centrality • accuracy_betw_class: inaccuracy of perception of centrality, defined as the difference between the perceived and true decile of betweenness centrality • accuracy_pagerank_class: inaccuracy of perception of centrality, defined as the difference between the perceived and true decile of PageRank centrality • accuracy_eigen_class: inaccuracy of perception of centrality, defined as the difference between the perceived and true decile of eigenvector centrality • abs_accuracy_closs_class: absolute value of the difference between the perceived and true decile of closeness centrality • abs_accuracy_betw_class: absolute value of the difference between the perceived and true decile of betweenness centrality • abs_accuracy_pagerank_class: absolute value of the difference between the perceived and true decile of PageRank centrality • abs_accuracy_eigen_class: absolute value of the difference between the perceived and true decile of eigenvector centrality