585192 research-article2015 RAP0010.1177/2053168015585192Research & PoliticsZigerell Research Article Is the gender citation gap in international relations driven by elite papers? Research and Politics April-June 2015: 1–7 © The Author(s) 2015 DOI: 10.1177/2053168015585192 rap.sagepub.com LJ Zigerell Abstract This paper reanalyses data from a recent widely-discussed study reporting that female-authored papers published in top international relations journals received fewer citations than equivalent male-authored papers. The reanalysis indicated that the gender citation gap is largely limited to elite papers, defined either as papers in the right tail of the citation distribution or as papers published in the most familiar journals. Results suggest that the original study’s recommendation to consider the gender citation gap in promotion and review requires more data and a better understanding of the factors that influence whether a paper enters the discipline’s elite. Keywords Gender, bias, citations Introduction Researchers often have enough latitude in how data are collected, coded, analysed, and reported to influence inferences about the presence, direction, and size of an effect (Simmons et al., 2011). Gelman and Loken (2013) offered a metaphor for this phenomenon, based on the Jorge Luis Borges story, ‘The Garden of Forking Paths’; the path from data to an inference can be imagined as a set of forking paths: path A leads to inference A, but path B might lead to inference A or to inference B. This forking paths metaphor clarifies two methods to eliminate researcher latitude: the first method is to publicly declare an intention to follow a particular path before data collection, to address scepticism that research design choices were based on a post hoc analysis of the data; and the second method is to demonstrate that the same inference is produced from all reasonable paths that might have been chosen before data collection, to address scepticism that inferences might differ with a different set of reasonable research design choices (see Gelman and Loken, 2013: 13–15). This second method is reflected in the Walter (2013) assertion regarding the data analysed in the Maliniak et al. (2013) paper, ‘The Gender Citation Gap in International Relations’: This paper has garnered a lot of press…, not because it’s telling us something we hadn’t already suspected but because the data are incontrovertible. Crunch the numbers in different ways and the results are always the same: articles written by women in IR are cited less than men, all else equal [emphasis added]. Statements such as these must be accepted on faith in the absence of data; however, recent movement in political science toward journal-required and researcher-volunteered posting of data and code permit other researchers to reanalyse data to assess whether inferences have been based on a representative set of reasonable research designs (see Bueno de Mesquita et al., 2003; King, 1995; Lupia and Elman, 2014). Such a reanalysis is reported below regarding the claim that the Maliniak et al. (2013) data always produce the inference that female-authored international relations papers are cited fewer times than equivalent maleauthored papers. The reanalysis provided evidence that any gender citation gap in international relations is largely limited to papers in the right tail of the citation distribution and, for Illinois State University, USA Corresponding author: LJ Zigerell, Illinois State University, Schroeder Hall 401, Normal IL 61790-4540, USA. Email: ljzigerell@ilstu.edu Creative Commons CC-BY: This article is distributed under the terms of the Creative Commons Attribution 3.0 License (http:// www.creativecommons.org/licenses/by/3.0/) which permits any use, reproduction and distribution of the work without further permission provided the original work is attributed as specified on the SAGE and Open Access pages (http://www.uk.sagepub.com/aboutus/ openaccess.htm). Downloaded from by guest on July 7, 2015 2 Research and Politics more recent papers, limited to the three most familiar political science journals. This finding is important for at least two reasons: first, any remediation to address the gender citation gap in international relations should account for the finding that there is little if any gender gap in the bottom 90% of cited papers; and second, models presented in Maliniak et al. (2013) and in the reanalysis contained no controls that can explain why some papers fall into the right tail of the citation distribution, so it is an open question whether a gender gap caused by papers in the right tail of the citation distribution is due to sex bias in the citation of highly-cited papers or due only to controls that are absent from the model. Is the gender citation gap in international relations a function of model specification? Table 2 of Maliniak et al. (2013) reported results from several models predicting citation counts to international relations papers, with models successively adding one or more controls. The final model in Table 2 is the full Maliniak et al. (2013) model that contained all controls from the previous models, with results indicating that sample female-authored papers received 86% of the citations received by sample male-authored papers, holding other model variables constant; the two-tailed p-value and 95% confidence interval were 0.093 and [0.72, 1.02], which suggests a large (0.72) bias against female-authored papers at one end of plausible estimates and a small (1.02) bias against male-authored papers at the other end of plausible estimates (for guidelines on interpreting confidence intervals, see Cumming and Finch, 2005: 174–175). The full Maliniak et al. (2013) model contained theoretically relevant controls reflecting the expectation that papers with deeper and wider exposure will receive more citations. The full Maliniak et al. (2013) model accounted for deeper exposure over time with controls for paper age and the square of paper age, reflecting the expectation that older papers will receive more citations because older papers have had more opportunity to be cited. The full Maliniak et al. (2013) model accounted for wider exposure with controls for R1 author status, tenured author status, coauthored papers, and the journal that published the paper, reflecting the expectation that potential citers are more likely to be more aware of papers published by researchers at R1 institutions, published by tenured researchers, published by multiple researchers, and published in more familiar journals. Reflecting the expectation that some issue areas or methodological approaches might have a higher opportunity for citation because a larger pool of researchers study a particular area or use a particular approach, the full Maliniak et al. (2013) model contained dichotomous controls for the type of research reported: positivist research, research with ideational factors, research with material variables, research in particular issue areas, and research with particular methodological approaches. However, the full Maliniak et al. (2013) model included some cases, controls, and restrictions that did not appear theoretically necessary: the full Maliniak et al. (2013) model excluded data collected on papers from 2007, included year controls, included a tenured female control, and included papers coauthored by men and women, hereafter referred to as coed papers. To assess the robustness of the full Maliniak et al. 2013 model, the full Maliniak et al. (2013) model has been re-estimated, removing one of these controls or a set of related controls. Figure 1 presents point estimates and 95% confidence intervals for several modified models. Model 2 is the full Maliniak et al. (2013) model but with papers published in 2007 included in the analysis, because there does not appear to be a reason to exclude these data.1 Model 3 is the full Maliniak et al. (2013) model but without year controls, because there did not appear to be a reason to expect citation counts to differ by publication year, given that paper age and the square of paper age were already included as controls. Model 4 is the full Maliniak et al. (2013) model but without the control indicating whether a tenured female was an author on a paper, because there did not appear to be a reason to expect tenured status to have a different effect on citation counts for men and women, and because the full Maliniak et al. (2013) model included no corresponding control to differentiate the effect of R1 status for men and women. Model 5 is the full Maliniak et al. (2013) model but without coed papers, because the critical comparison for assessing sex bias in citations is the comparison of papers with only female authors to papers with only male authors. Model 6 is the full Maliniak et al. (2013) model with controls for whether the paper had a restricted temporal focus or a restricted geographical focus, based on the expectation that a paper should receive fewer citations if it restricts its focus to a particular time or a particular non-US region. Model 7 is the full Maliniak et al. (2013) model but with all of the aforementioned changes: inclusion of sample papers from 2007, removal of year controls, removal of the tenured female control, removal of coed papers, and inclusion of the restricted temporal and geographical focus controls. Models discussed above used only data available in the Maliniak et al. (2013) dataset. Models 8 and 9 include new controls drawn from the Web of Science and JStor; data from the available institutional Web of Science database were limited to papers published after 1987, so models with new controls are based on a smaller number of observations and on more recent cases, compared to the full Maliniak et al. (2013) models. These new models reflect edits to the Maliniak et al. (2013) dataset. First, twelve instances of duplicate papers were discovered and corrected for. Second, the dataset contained 204 papers intended for the analysis but without a value for the number of citations to that paper; if one of these papers was found in the Web of Science Downloaded from by guest on July 7, 2015 3 Zigerell Figure 1. Estimates of the gender gap in citations to international relations papers. Note: The figure depicts point estimates and 95% confidence intervals for the gender gap in citations to international relations papers, based on a negative binomial regression across 15 models. Estimates less than 1.0 are estimates in which papers authored by only women receive fewer citations than papers authored by only men, holding constant all other model controls. An estimate of 0.90 is interpreted as papers authored by only women receiving 90% of the citations received by papers authored by only men, holding constant all other model controls. database, the missing citation count for that paper was coded with the citation count excluding citations from books and book chapters (following Maliniak et al., 2013: 896); all but 86 of the post-1987 papers for the twelve sample journals were found in the Web of Science and were coded.2 Third, publication type was coded for the 2,052 post-1987 publications found in the Web of Science: 1,715 papers, 208 reviews, 53 editorial material, 39 book reviews, 25 letters, 11 notes, and 1 reprint. The first new control was paper page count, based on the expectation that longer papers contain more material and are thus more likely to contain material that others find worth citing (see Østby et al., 2013). The second new control indicated the number of references that the paper made to other sources, based on the expectation that a larger number of references reflects the degree to which a paper is related to other research and thus reflects the potential of the paper to be cited (see Wang et al., 2011). Table 1 presents selected statistics for the new controls, indicating that men were less likely than women to author restricted temporal or geographical focused papers but were more likely to author papers that landed in the right tail of references to other sources. Differences between the new models and the full Maliniak et al. (2013) model are that the new models: include papers published in 2007; do not include year controls; do not include a tenured female control; remove coed papers; include the restricted temporal and geographical focus controls; include a control for paper page count; include a control for the number of references made to other sources; restrict the dataset to papers published after 1987; and restrict the dataset to publications coded as a paper, or as a paper or a review. Table 2 reports exponentiated coefficients and p-values for key variables for Model 8, which predicts the number of citations received by publications coded as a paper, and Model 9, which predicts the number of citations received by publications coded as a paper or a review.3 Respective point estimates for the gender citation gap are 93% and 97%, indicating gaps of 7% and 3%. Is the gender citation gap in international relations a function of highly-cited papers? Maliniak et al. (2013: 893) and Simmons (2013) noted that the gender citation gap disfavouring female-authored papers appears in the mean but not in the median: the median citation count to female-authored papers was equal to or larger than the median citation count to male-authored papers, in the 1980s, the 1990s and the 2000s. Maliniak et al. (2013) proposed self-citation and citation cartels as potential explanations for the citation gap, but the fact that men are more likely to cite themselves and the possibility that men are more likely to participate in citation cartels cannot explain the higher median for papers with only female authors. Moreover, the higher mean for maleauthored papers and the higher median for female-authored papers give rise to the possibility that a sex difference in the citation distribution could influence inferences about sex differences in citations. The sample for the full Maliniak et al. (2013) model contained 2,057 papers with only male authors and 262 papers with only female authors, so allfemale papers accounted for 11.3% of the total sample of non-coed papers; however, the percentage of all-female Downloaded from by guest on July 7, 2015 4 Research and Politics papers decreases further into the right tail of citations: as displayed in Figure 2, all-female papers account for 8.7% of non-coed papers above the 90th percentile; 6.1% of noncoed papers above the 95th percentile; and 4.5% of papers above the 99th percentile. Maliniak et al. (2013) discussed the possibility that the gender citation gap might be driven by outliers: similar. The coefficient on ALL FEMALE is always negative, with point estimates very close across specifications. The consistency of the effect across many specifications lends support to the general finding, as well as the result being a more general phenomenon across the distribution of articles. Of course, any subset of articles that garners fewer citations will decrease the chance of a gap being statistically significant thanks to information loss (905). Are these findings driven by a few highly cited, male-authored articles? When we exclude articles with three standard deviations above the mean of cites or more, our results are substantively The mean and standard deviation of citations were respectively 25 and 50 for papers in the sample for the full Maliniak et al. 2013 model. Model 10 is the original full Maliniak et al. (2013) model with the analysis restricted to papers that received 175 or fewer citations, which eliminated 1.3% of the sample papers. Models 11 to 13 are the original full Maliniak et al. (2013) model with the sample restricted to the bottom 98%, bottom 95%, and bottom 90% of papers based on total citations. Models 14 and 15 respectively represent Models 7 and 13, but excluding the top 2% and 5% of non-coed cited papers. Maliniak et al. (2013) correctly noted that removing cases in the right tail of the citation distribution decreases the chance of detecting a gender gap at conventional levels of statistical significance; however, the important change to note is not in the p-values but in the point estimates, rising from 0.86 for the whole sample to 0.99 for the bottom 90% of papers. The reduction of the gender gap when highlycited papers are removed suggests that any sex difference – and thus any sex bias – is limited or largely limited to papers in the right tail of citations. But the reduction of the Table 1. Selected summary statistics for the new controls. Percentage of papers Percentage of reviews Percentage with a restricted temporal focus, papers only Percentage with a restricted geographical focus, papers only Mean and standard deviation for page count, papers only Mean and standard deviation for references, papers only Men Women 83 10 19 82 12 21 51 58 24.5, 9.5 25.3, 9.0 56.8, 31.5 56.8, 25.5 Note: Samples for the percentage of papers and reviews are the 1,612 male-authored publications with a coded publication type and the 237 female-authored publications with a coded publication type. Samples for the statistics restricted to papers are the 1,337 male-authored publications coded as a paper and the 195 female-authored publications coded as a paper. Table 2. Predicting citations to international relations papers. Model 8 Papers only Model 9 Papers and reviews only Incidence Rate ratio (p-value) Incidence Rate ratio (p-value) Paper with only female authors At least one author tenured Multiple authors At least one author from an R1 school Paper had a restricted temporal focus Paper had a restricted geographical focus Publication type: Review Paper page count Number of references to other publications Number of observations 0.93 (0.405) 1.14 (0.055) 1.07 (0.340) 1.14 (0.061) 0.76 (<0.001) 0.53 (<0.001) — 1.03 (<0.001) 1.006 (<0.001) 1532 0.97 (0.720) 1.15 (0.028) 1.06 (0.394) 1.13 (0.066) 0.76 (<0.001) 0.57 (<0.001) 0.66 (<0.001) 1.03 (<0.001) 1.005 (<0.001) 1728 Note: Numerical cells indicate exponentiated coefficients and p-values from a negative binomial regression predicting the number of citations a publication has received, from publication to March 2013, for papers and/or reviews published in sample issues of the dataset journals from 1988 to 2007. The exponentiated coefficients can be interpreted as incidence rate ratios; the estimate of 0.93 is interpreted as papers authored by only women receiving 93% of the citations received by papers authored by only men, holding constant all other model controls. Bold font indicates coefficients for which p<0.05 for a two-tailed test. The table omits model results for: paper age; paper age squared; positivist research; research with material variables; research with ideational factors; the set of paradigm variables; the set of issue variables; the set of methodology variables; the set of journal variables; and the constant. Analyses were restricted to papers in which the set of authors was all men or all women. The excluded category for publication type in Model 9 is a paper. Downloaded from by guest on July 7, 2015 5 Zigerell Figure 2. The gender citation gap for highly-cited international relations papers. Note: The figure depicts the number of citations to highly-cited sample papers published between 1980 and 2006. Each pink dot above the grey line represents a single paper authored by only women, and each light blue dot beneath the grey line represents a single paper authored by only men. gender gap when highly-cited papers are not included in the analysis presents a problem for causal inference using the full Maliniak et al. (2013) model because that model lacks a control that can explain outliers in the right tail of citations; even the new controls for page count and number of references are unable to explain why some papers receive an outlier number of citations, such as the 1,084 citations received by the most highly-cited sample paper; it is thus unclear to what extent an observed gender citation gap reflects sex bias and to what extent an observed gender citation gap reflects factors absent from the models. Is the gender citation gap in international relations a function of familiar journals? Similar research has failed to detect at conventional levels of statistical significance a gender citation gap to papers published in the Journal of Peace Research (Østby et al., 2013). It is thus possible that the gender citation gap is a function of the type or familiarity of the journal that a paper is published in. To test this, controls for individual journals were replaced in model 8 by familiarity scores for the twelve dataset journals based on Garand and Giles (2003): the interaction of journal familiarity score and the female authorship variable was substantively and statistically significant (0.47, p=0.013). Removing the journal familiarity score in model 8 and restricting the analysis to the three most familiar journals (APSR, AJPS and JOP) returned a point estimate for the gender citation gap of 0.58 (p=0.012, n=165) compared to the gap of 0.95 for the nine residual journals (p=0.562, n=1367), providing corroborating evidence that the gender citation gap in international relations is only an elite phenomenon.4 Network analysis Maliniak et al. (2013) investigated the relative influence of male- and female-authored papers in international relations, by modelling ‘authority’ scores for each paper, which ranged from 0 to 1 and reflected the idea that ‘an article that is cited by many widely cited articles will have a higher authority score than an article cited by many articles that themselves are only rarely cited’ (907). Figure 3 presents results for the models reported above, but replacing the citation count-dependent variable with the authority scoredependent variable used in Table 4 of Maliniak et al. (2013). Point estimates fluctuate, but results generally support the inference that compared to citations to papers authored by only men, citations to papers authored by only women tend to come from papers that receive fewer citations and are thus less central to the international relations literature. Conclusion Maliniak et al. (2013) reported evidence that international relations papers authored by women receive fewer citations than international relations papers authored by men, even controlling for many factors that might be proposed as alternative explanations. Maliniak et al. (2013) suggested that: ‘The most important recommendation for departments is to take the existence of gender bias seriously when evaluating Downloaded from by guest on July 7, 2015 6 Research and Politics Figure 3. Estimates of the gender gap in the influence of international relations paper citations. Note: The figure depicts point estimates and 95% confidence intervals for the gender gap in highest authority score for international relations papers, based on a least squares regression across 15 models. Estimates less than 0 are estimates in which papers authored by only women have a lower authority score than papers authored by only men, holding constant all other model controls. female scholars for promotion and review…We believe it is better to work with an existing indicator whose bias is known, than to switch to one that is assumed to be unbiased but is not’ (919–920). The most obvious interpretation of this recommendation is that promotion and review standards should be lower for female international relations researchers than for male international relations researchers, at least with regard to citations. Different promotion and review standards for men and women might be warranted with strong evidence of homogeneous sex bias in citation counts, but the data analysed in Maliniak et al. (2013) do not appear to provide enough evidence to justify blanket changes to promotion and review practices, in several senses: first, 95% confidence intervals for sex bias were nearly 30 percentage points wide and in most cases contained an estimate of zero bias; second, the sex difference in citation counts appears restricted to the right tail of citations and to the most familiar journals, so any advantage for male researchers and any disadvantage for female researchers might not be evenly distributed among male and female researchers; and third, even restricting the analysis to the right tail of citations and the most familiar journals, it is unclear whether the estimated gender citation gap is driven by bias or by unmodelled factors, given that the models contain no controls that can explain why some papers land in the right tail of the citation distribution or are placed in the most familiar journals.5 It is important to look for bias and to adopt policies to eliminate or account for any bias that is detected. Reanalysis of the Maliniak et al. (2013) data indicated that the inference of a gender citation gap was not always statistically significant, but 95% confidence intervals always contained a gender gap that was substantively important. However, use of the Maliniak et al. (2013) data to inform promotion or review practices should ensure that the estimates are relevant for the researcher under review, and are not unduly influenced by bias that might advantage or disadvantage only those international relations papers that land in the right tail of the citation distribution or are placed in the discipline’s most familiar journals. Acknowledgements The author thanks the editor and anonymous reviewers for helpful comments, thanks International Organization for helping to make the reproduction data and code available, and thanks Daniel Maliniak and Ryan Powers for responding to inquiries regarding their study. Declaration of Conflicting Interest The authors declare that there is no conflict of interest. Funding This research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors. Supplementary material The online appendix is available at: http://rap.sagepub.com/ content/by/supplemental-data The replication files are available at: http://dx.doi.org/10.7910/ DVN/29945 Notes 1. The Maliniak et al. (2013) dataset contained 140 papers published in 2007 from issues 1 and 2 of World Politics and issues 1 and 3 of the remaining journals that were coded in_ analysis==1 with a non-missing value for the citation count variable. See the supplemental material. Downloaded from by guest on July 7, 2015 7 Zigerell 2. Sixteen of the 86 cases were from the first two volumes of the European Journal of International Relations, and 70 cases were from the first five volumes of Security Studies; three other cases missing a citation count were from a journal that was not included in the set of twelve sample journals. 3. The analysis is restricted to papers and reviews because reference data appeared less reliable for some of the lessfrequent publication types. See the supplemental material. 4. The full Maliniak et al. (2013) model was re-estimated with a control for the three most familiar journals. For the nine residual journals, the resulting point estimate, p-value, and 95% confidence interval for female authorship was: 0.90, p=0.279, [0.75, 1.09]. For the three most familiar journals, the resulting point estimate, p-value, and 95% confidence intervals for female authorship was: 0.90, p=0.716, [0.51, 1.58]. There was more of a difference in estimates when, as in the new models, cases were restricted to publications between 1988 and 2007: 0.95 as the point estimate for the nine residual journals, and 0.67 as the point estimate for the three most familiar journals. 5. The estimate of a sex difference in citations is neither a floor nor a ceiling on the size of sex bias. Interpreting the sex difference estimate as the estimate of sex bias would be an overestimate of sex bias if the model lacks relevant controls that would reduce the estimate; but interpreting the sex difference estimate as the estimate of sex bias would be an underestimate of sex bias if included model controls capture some of the indirect effect of sex bias, such as if part of the reduced citation count for restricted geographical focus papers is because women are more likely to author restricted geographical focus papers. References Bueno de Mesquita B et al. 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