1 Introduction

Ever since the 1960s, quantitative marketing (QT) researchers have ushered in a new era where marketing decisions could be supported by quantitative methods. From sales response models, conjoint analysis, perceptual maps, and Bass diffusion model to choice models, just to name a few, these widely applied marketing analytics have helped firms enhance business efficiency through better understanding of both consumers and competitors. As a result, right products and services are created and delivered to right consumers. Since the early 1980s, in addition to statistics and operations research techniques, QT researchers have added microeconomics and game theory to their repertoire of analytical tools, thereby transforming marketing management as a discipline from scientific art to artistic science.

Entering the twenty-first century, with the phenomenal progress in computing technology and availability of bulky data, QT researchers are expected to have bigger venues to contribute than ever before. However, before immersing into the excitement of the great opportunities on deck, we believe it is also a good timing to examine how we have arrived here. As Stevenson and Adlia [21] said, “We chart our future clearly and wisely only when we know the path which has led us to the present.” Hence, the main purpose of this study is to investigate the development of quantitative marketing as a field defined by its researchers. Through this study, we hope to provide a better understanding and a benchmark that have implications for the future development of individual scholars, business schools, or the field as a whole.

In this study, we collect data of all standing marketing faculties from the world’s 150 top universities till August 2011. These universities had the most publications in the four leading marketing journals—Journal of Marketing Research (JMR), Journal of Consumer Research (JCR), Marketing Science (MKS), and Journal of Marketing (JM),Footnote 1 as well as the marketing section of Management Science (MS). The collected data comprise demographic and bibliographic data of each faculty in the pool as well as citation data of each paper since its publication year. With this rich dataset, we are able to portray the field in multiple dimensions with a long time span from 1980 to 2011. We answer questions such as who we are, where we publish, what our research productivity looks like, what the research impact (citation) is, and how publication and citation affect career development. We focus on describing QT researchers with a reference to consumer behavior (CB) scholars.

We find that marketing as a discipline is quite male dominated with 71.3 % of scholars being male. The male domination is more salient in the QT area than in the CB area: 80.4 % of the QT scholars are male, as compared to 63.0 % of the CB researchers. The marketing researchers also come from different regions. North Americans are the largest group, followed by South Asians, and then by Europeans. The portfolio of marketing researchers is becoming more and more international among young cohorts of graduates. North Americans account for 68.3 % in the 1980 cohort, down to 45.7 % in the 1990 cohort, while Chinese have the fastest gains. In terms of the field of PhD training, more and more non-marketing major PhD students are joining the field. However, with the expansion of the entire marketing field, the proportion of non-marketing major PhDs is actually decreasing. Hence, worries about the intensified competition due to the inflow of non-marketing major PhDs are not well grounded. The average academic age of QT researcher in our dataset is 14.46 years compared with 15.53 years for CB scholars.

In terms of publications, 76.23 % of papers in the dataset are published in business journals, 11.55 % in the psychology journals and 3.18 % in economic journals. When journals are classified into tier-1, tier-2, and tier-3 journals, they comprise 43.59, 29.55, and 26.86 % of the total publications respectively. Many scholars start to publish quite early in their academic career. Of the QT researchers, 17.5 % managed to have one tier-1 publication before graduation compared with 23.0 % of CB researchers. For tier-2 papers, the proportion is 11.4 % for QT and 18.8 % for CB researchers respectively.

Many universities have adopted the “publish-or-perish” career paths for their faculty. Top-quality research output is important for a school and its faculty members to gain visibility and esteem among their academic peers. Top-quality research output is also pivotal for faculty members to obtain tenure promotion and job security. When it comes to research productivity, an examination of the raw data reveals that the annual new publication of tier-1 papers is hump-shaped over academic age since graduation. In the initial years, QT researchers underperform CB researchers, but they can catch up with CB researchers in annual productivity before tenure evaluation and surpass CB researchers thereafter. For tier-2 papers, the annual new publications peak at year 6 and level off afterwards. It takes QT researchers, on average, 11 years to catch up with their CB counterpart in total publications. Research productivity is affected by academic age (vintage effect), the affiliated department where a unique set of knowledge is embedded, the PhD graduating school to signal the initial researcher quality, the potential research capability after graduation, etc. After controlling for all these factors, though annual research productivity is still hump-shaped in academic age, it takes 26 years for QTs to surpass CBs in total research output. They can never catch up with CBs in citation. In addition, along the calendar years, both QT and CB researchers show an increasing trend of annual research output.

It is well known that the Matthew effect exits in academic research that the most prolific scholars become more productive over their career [13]. In our dataset, the top 1 % most prolific researchers account for over 7 % publications, the top 5 % most prolific ones account for 24 % publications, the top 10 % most prolific ones account for 36 % publications, and the top 20 % most prolific ones account for 55 % publications. We check the evolution of such distribution overtime and find it stays quite stable.

Different tiered publications and citations play different roles in the advancement of three career milestones, viz., job placement, associate promotion, and full promotion. For job placement, as expected, we find that tier-1 publications count the most, followed by tier-2 publications. Everything else being the same, QT candidates tend to be placed in schools 23 positions higher in rank than CBs. A QT candidate with one tier-1 paper is likely to get a placement ranked 17 positions higher than those who do not. For CB candidates, the corresponding advantage brought by a tier-1 publication is 21 positions. Tiered publications matter more to a CB job candidate than to a QT candidate. However, tier-3 publications do not help but hurt the initial job placement.

For associate promotion, tier-1 and tier-2 publications can significantly increase the hazard of promotion, and tier-3 publications decrease CBs’ chance to be promoted and have no effect on QTs’ promotion. In terms of the magnitude of the impact, one tier-1 publication weighs more than three tier-2 publications. In terms of the recent trend, the hazard of being promoted is decreasing with the calendar year, reflecting the fact that it is becoming more difficult to obtain associate promotion. Further, compared with CB researchers, QT researchers are less likely to be promoted. For full professorship promotion, again tier-1 publications matter most. However, along the calendar years, the hazard to get full professorship promotion is increasing, especially for QT researchers. Thus, relatively speaking, it seems that for CB scholars the challenge is at the job market, while for QT researchers, it is to obtain the associate promotion. Surprisingly, citations do not have large impact on associate as well as full professorship promotion.

In Section 2, we will elaborate how the data is collected and validated. In Section 3, we provide summary statistics and some descriptive analysis. In Section 4, we formally model research productivity. In Section 5, we model the advancements into the three milestones of a researcher’s career life. In Section 6, we end the paper with discussions and implications.

2 Data Collection

The data in this paper consist of researcher demographics, publications, and citations. Demographics and publication data were collected between June and August 2011 via the following steps. We first examined the Web of Science to determine the 150 universitiesFootnote 2 that had the most publications in the four leading marketing journals—Journal of Marketing Research (JMR), Journal of Consumer Research (JCR), Marketing Science (MKS), and Journal of Marketing (JM),Footnote 3 as well as the marketing section of Management Science (MS) between the years 1980 and 2010. These universities collectively accounted for 85 % of the individual articles in these journals. We then visited each university’s website to compile a list of all standing tenure-track faculty members in the marketing department (division, unit or group), including those who have not yet published. We revisited the websites on 31 August 2011 to ensure that the faculty list was complete and contained no duplicates. As a further quality assurance, we checked the American Marketing Association’s “Who Went Where” survey results from 1997 to 2011 to ensure that all those surveyed from the marketing departments of the top 150 universities were included in the list.

Next, looking at each of the scholars’ curriculum vitae (CV) or websites, we collected both biographic and bibliographic data. Biographic data includes gender, country of origin, the university where they obtained their bachelor’s degree and their major, the university where they received their master’s degree and their major, and the university where they received their doctorate degree and their major. Biographic data also contains the dates at which they obtained their degrees, their detailed job history, the calendar years in which they received their associate and full professorship promotions, and the institutions at which these promotions were obtained. Bibliographic data were recorded of all published and forthcoming papers in peer-reviewed journals published in English up to 31 August 2011, including each article’s title, authors, journal, year of publication, volume, issue, start page, and end page. In some cases where the scholars did not have or have an incomplete CV or web publication list (e.g., the first publication appeared 3 years after doctoral graduation or the most recent publication appeared before 2011), the bibliographic data was supplemented by JSTOR, Science Direct, and Google Scholar searches. Further, the number of papers Researcher A coauthored with B is checked to be the same as that Researcher B coauthored with A to ensure the completeness of publications. We also take measures to ensure there are no duplicates of publications for a researcher. The analysis was limited strictly to journal publications; conference proceedings, books, book chapters, book reviews, editorials, comments, replies, rejoinders, and conference reviews were not included.

We next collected annual citations for each article from the year of publication until 2011 via the Web of Science. If a journal is not included by the Web of Science, we collected the citation data in Scopus. We sum over citations across a scholar’s all articles to obtain his/her total citations.

We classify marketing scholars into three types based on their research methods, which is achieved by scrutinizing their publications, publishing journals, working papers and works-in-progress, and stated research interests in their CVs. A similar classification strategy is used in Zamudio et al. [25]. Our data covers 1731 current marketing faculty members, of whom 40.7 % (705) are CBs, 37.5 % (649) are QTs, and 21.8 % (377) are STs. We focus our analysis on the 1354 QT and CB researchers.

3 Data Summary

3.1 Who Are They?

Marketing as a discipline is quite male dominated, with 71.3 % researchers being male. However, as more and more female researchers join the field, the proportion of the male drops from 89.7 % for the 1980 cohort to 60.9 % for the 2011 cohort. The change in gender composition is more salient among QT researchers: Female QT researchers grow from 2.5 % for the 1980 cohort to 34.8 % for the 2011 cohort. For CB researchers, the proportion of female researchers increases from 17.2 to 43.5 %. Since our data were collected in 2011, they reflect the status quo of current faculties. For cohorts 2006–2011, they represent the composition of PhD graduates in those years as they have not gone through the tenure process, while for cohorts before 2006, the data only contain those graduates who have survived the tenure process and attritions due to various other factors. The low female ratios for the early cohorts may be due to two reasons: (1) there were fewer female PhD graduates joining the marketing field, and (2) women were less likely to survive the tenure process or other attrition factors.

The marketing researchers come from different countries (Table 1), primarily North American (45.72 %), South Asian (19.35 %), European countries (12.48 %), and China (10.78 %). Over the years, the field becomes more international, with more non-North Americans joining the field. North Americans dropped from 72.93 % for the 1980–1984 cohorts to 31.58 % for the 2005–2011 cohorts; South Asians experienced a hump-shaped trend, increasing from 14.66 % for the 1980–1984 cohorts to a peak of nearly 30 % for the 1990s cohorts, and then going down to 15.33 % for the 2005–2011 cohorts; Europeans peaked in the 2000–2004 cohorts; Chinese have been increasing from negligible numbers to 22.65 %; other nationalities (South Korea, Israel, Turkey, Singapore, etc.) are also increasing, albeit at a slower rate.

Table 1 Distribution (%) of researchers by country of origin

CB and QT experienced different trends in their composition by country of origin (Fig. 1a, b). Among CB researchers, North Americans accounted for a much larger share (60 %), and their share declined from 84.51 to 42.86 %; South Asians increased from 6.34 to 21.13 % for the 1990–1994 cohorts, and then went down to 8.57 %; Chinese experienced the largest increase, from nil to 18.57 %; other nationalities went up from 4.23 to 17.62 %. Among QT researchers, North Americans only accounted for 30.20 %, and their shares went down from 60 % to around 20 % for the 1990s cohorts and leveled off thereafter. South Asians accounted for 27.27 %, and their share peaked at 43.40 % for the 1985–1989 cohorts, and gradually declined to around 21 %. Chinese scholars witnessed the biggest growth, from nil to 26.43 % for the recent cohorts, with an overall share of 14 %.

Fig. 1
figure 1

Distribution of researchers (%) by country of origin: CB versus QT

In terms of fields of PhD training, 23.1 % of the scholars had a PhD from fields other than marketing such as economics, psychology, statistics, management sciences, operations research, and decision sciences. Although there were more PhDs from other fields joining the marketing discipline, due to the expansion of the entire marketing field, their share decreased from 38.72 % in the 1980–1984 cohorts to 23.85 % for the 1985–1989 cohorts. It went up to 27.03 % for the 1995–1999 cohorts, and then went down to 22.12 % for the 2000–2004 cohorts, and further down to 11.90 % in the 2005–2011 cohorts. Hence, the worries held by marketing PhD candidates about possible competition from candidates outside marketing are not well grounded. The trend of non-marketing PhDs was similar for CB and QT areas (Fig. 2), though the decline was steeper for the QT area than the CB area.

Fig. 2
figure 2

Percent of non-marketing PhDs by graduation cohort: CB versus QT

Across years, Northwestern, Stanford, Pennsylvania, Duke, Columbia, Carnegie Mellon, Florida, Chicago, UCLA, and MIT are the top 10 universities that jointly granted 35.4 % PhDs. Northwestern, Pennsylvania, Carnegie Mellon, MIT, Purdue, Stanford, UCLA, Chicago, UC Berkeley, and Columbia had the most QT PhDs (41.9 %) and Northwestern, Stanford, Florida, Duke, UIUC, Columbia, Ohio State, Chicago, Indiana, and Pennsylvania had the most CB PhDs (38.0 %). The researchers obtained their PhDs in different years, spanning from the late 1960s to 2011.

The researchers, on average, had 15.01 years (SD = 11.80, median = 12) of academic career since PhD graduation (or since the start of the faculty career, whichever comes earlier). The average academic age was 14.46 years for QTs (SD = 11.80, median = 11) and 15.53 years for CBs (SD = 11.78, median = 13).

3.2 Where Do They Publish?

The marketing researchers in our dataset published 24,589 papers (not adjusted for number of coauthors) in 1717 journals across different fields, including business, psychology, economics, and statistics. Business journals account for 76.23 % publications, psychology journals comprise 11.55 % publications, economics journals represent 3.18 % publications, and statistics journals claim 0.95 % publications. The remaining 8.10 % appear in diverse other fields. There are differences in choice of publication outlets across type of researchers. QT researchers publish 82.62 % of their papers in business journals, 5.58 % in economics journals, 2.25 % in psychology journals, and 1.81 % in statistics journals. It appears that CB researchers publish more in disciplines other than business: They publish 71.10 % of their papers in business journals, 19.0 % in psychology journals, 1.25 % in economics journals, and 0.26 % in statistics journals.

We classify the publishing outlets into tier-1, tier-2, and tier-3 journals according to the journal tier classification system typically adopted in top-ranked, research-focused universities. There are 164 tier-1 journals, 257 tier-2, and 1296 tier-3 journals,Footnote 4 accounting for, respectively, 43.59, 29.55, and 26.86 % of the total publications. We check the publication portfolio by journal tier for different graduation cohorts (Fig. 3a) and researcher type (Fig. 3b). We found that the proportion of tier-1 publications increases for scholars with shorter academic ages (recent graduates), though tenured scholars still have quite significant proportion of tier-1 publications. QT scholars had higher proportions of tier-1 papers than CB scholars up to 2002 when CBs started to have slightly higher proportions of tier-1 publications. However, the proportions of tier-2 publications of both CB and QT researchers are quite comparable (the proportions of tier-3 publications for CBs and QTs are not shown in the figure). The top 5 tier-1 and tier-2 journals for CBs are JCR (14.77 %), JMR (7.96 %), JCP (4.86 %), JM (4.14 %), and JAMS (2.30 %). The top five journals for QTs are MKS (12.94 %), JMR (12.43 %), JM (6.53 %), MS (6.32 %), and IJRM (3.67 %).

Fig. 3
figure 3

a Publications by journal tiers and graduation year. b Publications by journal tiers: CB versus QT

3.3 When Do They Start Publishing?

Many marketing researchers start to publish before graduation. In Table 2, we report the percentages of researchers with different numbers of publications as well as mean numbers of publications at different years before PhD graduation for tier-1 and tier-2 journals. In the year of graduation, 17.5 % of QT students and 23 % of CB students manage to have one tier-1 publication. For tier-2 papers, the portion is 11.4 % for QT and 18.8 % for CB students, respectively. In addition, when comparing the mean number of papers published by QT and CB students in both tier-1 and tier-2 journals before graduation, CB students easily double the number of publications by QT students across the years before graduation. In this sense, CB researchers enjoy a head start advantage.

Table 2 Percentage distribution of researchers by number of publications before PhD graduation

3.4 How Does the Productivity Look Like in the Career Cycle?

Levin and Stephan [7] examine research productivity of scientists over the academic life cycle and find that, for the majority of scientists, scientific productivity is investment motivated, not consumption motivated. Research productivity declines over the career. Researchers publish more in the early stage and less in the late stage of their career because the financial rewards from later publications are discounted more than earlier publications.

To check whether publications in marketing follow the same pattern, in Fig. 4a, we plot the annual new publications by academic age, i.e., years since PhD graduation. Note that the numbers of publications for each academic year are computed based on different cohorts of doctoral graduates: The numbers for year 0 are based on all cohorts, the numbers for year 1 are based on the publications of cohorts up to 2010, the numbers for year 2 are based on the publications of cohorts up to 2009, and so on. Because substantial differences may exist in the nature and quantity of graduates across cohorts, these numbers may not be strictly comparable. Nevertheless, they depict a general picture of research productivity over a scholar’s career cycle.

Fig. 4
figure 4

a Mean annual new publications by years since PhD. b Mean annual new tier-1 publications by years since PhD

Several observations are in order. First, research productivity in different journal ranks follows different evolution patterns over the academic career cycle. Productivity in tier-1 journals is hump-shaped, peaking around year 5 or 6 and declining afterwards, which is consistent with the investment motivation of research as found in Levin and Stephan [7]. A breakdown by researcher type indicates that the hump-shaped productivity pattern holds for QTs and CBs in tier-1 journals. However, research productivity in tier-2 and tier-3 journals increases until year 6 and levels off afterwards, which is more consistent with the consumption motivation of research. Researchers initially have much higher productivity in tier-1 journals than in tier-2 and tier-3 journals, reflecting their pursuit of quality research due to the tenure requirements by many schools.

Second, when we split the sample into QT and CB researchers, we found these two streams of researchers follow different evolution paths of annual productivity. In the initial academic years, QT researchers underperform their CB counterparts. Just before tenure evaluation, QT researchers catch up with CB researchers in terms of new publications in tier-1 journal (Fig. 4b) and surpass them afterwards. For tier-2 publications, QT researchers also underperform in the initial years and surpass their CB peers 11 years after graduation. For tier-3 publications, QT researchers always fall below CB researchers. Note that these are simple averages across researchers of different gender, academic age, PhD school, and job school. As we analyze later, after these factors are accounted for, it takes much longer for QTs to close the publication gaps with CBs.

3.5 The Skewed Distribution of Research Publications

The researchers on average have 18.16 publications across all journal ranks, including 7.92 tier-1, 5.37 tier-2, and 4.88 tier-3 publications. There are slight differences across QTs and CBs. CB researchers on average have 19.36 publications across all journals, while QT researchers have 16.86 publications, about 2.5 papers less. QT and CB researchers have the same numbers of tier-1 and tier-2 publications, but differ in the number of tier-3 publications. A comparison of the numbers of authors and pages per publication across CBs and QTs reveals that tier-1 and tier-2 QT papers are about 1.5 to 2 pages longer, and have slightly less coauthors than CB papers.

Consistent with the findings in the literature (e.g., [1, 3, 11, 22]), the distribution of publications across researchers is highly skewed. The top 1 % most prolific researchers account for over 7 % publications, the top 5 % most prolific ones account for 24 % publications, the top 10 % most prolific ones account for 36 % publications, and the top 20 % most prolific ones account for 55 % publications. The distribution is stable along the years (Fig. 5). There are no significant differences between CB and QT in the percentile distributions of publications.

Fig. 5
figure 5

Percent of tier 1 publications by top 1, 5, and 10 % most prolific researchers: 1980–2011

3.6 What is the Research Impact?

Citations are often used to measure the quality and impact of scientific research. Table 3 reports citations per paper and per researcher by researcher type and gender. Marketing researchers, on average, have 371 citations (SD = 651), 348 for QTs (SD = 622), and 392 for CBs (SD = 675). The citations are highly skewed among researchers. The median citations are 140, 153 for CBs, and 126 for QTs. There exist large differences in citations of work by male and female researchers. Female researchers have 251 citations in total (SD = 446), and male researchers have 416 citations (SD = 708), 66 % more than that of female researchers. The median citations of male researchers are 169, more than double female researchers’ median citations (79).

Table 3 Citations by researchers and by paper: CB versus QT

Examining researcher type and gender together, we find that male CB researchers have the most citations (mean = 453, SD = 757, median = 178), followed by male QT researchers (mean = 383, SD = 659, median = 157). Female QT researchers have the least citations (mean = 178, SD = 352, median = 43). In the mean number of citations, male CB researchers have 60.8 % more than female CB researchers, 18.3 % more than male QT researchers, and 154.3 % more than female QT researchers; in the median number of citations, male CB researchers have 74.5 % than female CB researchers, 13.0 % more than male QT researchers, and 318.8 % more than female QT researchers. Thus, it appears that female QT researchers are most disadvantaged in citations.

A researcher’s total citations depend on the number of publications and citations per paper. At paper level, articles by QT researchers, on average, have 34.9 citations (SD = 103.1), which are 19.2 % less than the citations of papers by CB researchers (mean = 41.6, SD = 91.0). The citations are highly skewed, and median citations per paper for QTs and CBs are only 15 and 18, respectively. At individual article level, mean citations do not differ much by researcher’s gender: Articles by male researchers have slightly higher citations.

Breaking down by researcher’s gender and type, we find that papers by male CB researchers have the highest citations (mean = 42.9, SD = 92.2, median = 18), followed by female CB researchers (mean = 38.4, SD = 87.7, median = 16), and male QT researchers (mean = 35.4, SD = 107.0, median = 16). Papers by female QT researchers have the lowest citations (mean = 30.8, SD = 57.6, median = 11). Citations depend on publishing journals and paper’s age [20]. After controlling for the vintage effect of articles and publishing journals, we find that papers by female researchers actually have more citations than papers by male researchers: papers by female CB researchers have 3.08 % more citations than those by male CB researchers, while papers by female QT researchers have 31.17 % more citations than those by male QT researchers. This is consistent with the findings in Long [10] that papers by female researchers, on average, receive more citations than those by male researchers.

4 A Formal Model of Research Productivity and Citation

4.1 Research Productivity over the Academic Career

In terms of research productivity, the above analysis does not account for vintage effect, which arises from the varying knowledge base [7] along a researcher’s career progress. Further, research output is also affected by working environment, academic training and other factors like gender [9, 2, 8]. Building on the extant literature in scientometrics (e.g., [5, 19]), we model research productivity of a scholar as a Poisson distribution as followsFootnote 5:

$$ \begin{array}{l}P\left({Q}_{it}={q}_{it}\right)=\frac{e^{-{\lambda}_{it}}{\lambda_{it}}^{q_{it}}}{q_{it}!}\hfill \\ {} \ln \left({\lambda}_{it}\right)={\beta}_{\mathrm{Type}}{\mathrm{Type}}_i+{\beta}_{\mathrm{Type},\mathrm{year}}{\mathrm{Type}}_i*\mathrm{Year}+{\beta}_{\mathrm{Type},t}Typ{e}_i*{t}_i+{\beta}_{\mathrm{Type},\mathrm{g}}{\mathrm{Gender}}_i*{\mathrm{Type}}_i+{\beta}_{\mathrm{s}}{I}_{i,\mathrm{s}\mathrm{t}}+{\beta}_{\mathrm{PhD}}{I}_{i,\mathrm{P}\mathrm{h}\mathrm{D}}\hfill \end{array} $$
(1)

where λ it is the expected number of publications for research i at academic age t. Q it is the number of new or cumulative total publications in tier-1 and tier-2 journals, Type i is researcher type, Year is a dummy for the calendar year, t i is researcher i’s academic age, and Gender i is researcher i’s gender. I i,st is a dummy for school s that researcher i is affiliated with at t. It varies with time because researchers may move from one university to another, and β s captures the school fixed effect, or the environmental effect on research productivity. I i,PhD is the dummy variable for PhD school and controls for the effect of academic training or research ability on productivity because entering a PhD program is a highly selective process at the first place.Footnote 6 The exponents of β Type,t capture the vintage effect of academic age on research productivity, revealing how annual new publications or total publications evolve along the career cycle for each researcher type after other factors are controlled for. On the other hand, exponents of β Type,year is a vector measuring how annual publications and cumulative publications evolve over the calendar years. It describes the time trend of researcher’s annual and cumulative research productivity.

Table 4 reports the regression coefficients of annual productivity β Type,year and β Type,t based on tier-1 and tier-2 publications. Several observations are in order. First, checking the plot of the exponents of the calendar year coefficients in Fig. 6a, we find that, along years, there is a slightly increasing trend of annual publications for CB scholars, and the trend sped up since 2002. For QT scholars, the annual publications declined from 1980 till 2000 when the trend was reversed towards more publications. Such trends might reflect the common perception that the tenure bar imposed in most schools is rising. However, we see from the data that it is not remarkable. We can also see that QT scholars are producing slightly more over years compared to CB scholars. Such advantage, however, is overshadowed immediately by the vintage effect, as is discussed below.

Table 4 Regression of annual publications on years since PhD graduation
Fig. 6
figure 6

a Time trend of annual tiered publications: CB versus QT. b Annual tiered publications by year since PhD graduation: CB versus QT

Figure 6b plots the exponents of the coefficients of academic years, which is the vintage effect of annual research productivity, relative to year 31+, after controlling for other factors such as calendar year period effect, gender, job school, and PhD school. Annual productivity of both QT and CB scholars is hump-shaped along researcher’s career cycle and peaks at year 6, the year of tenure assessment in most of the schools. At the beginning, QT scholars have 1.29 fewer papers than CBs, which is quite close to what is observed from the job market. Then, the gap between QTs and CBs in terms of annual paper production increases and becomes widest at the sixth year. It diminishes thereafter. However, on average, QT scholars produce less than CBs on yearly basis in the whole academic life cycle. Second, a revisit to Fig. 4b suggests QT scholars become more productive after 5 years compared with CBs. However, after controlling for other factors, QTs actually have a lower productivity than CBs in many more years.

Third, there are gender differences in productivity. Compared with male scholars, female scholars are less productive: female QT scholars have 82.4 % of their male counterparts’ annual productivity, and female CB scholars have 89.0 % of their male counterparts’. Seggie and Griffith [19] find that gender is not a significant determinant of publication productivity for marketing scholars. Park and Gordon [15] and Williamson and Cable [24] have the same finding in the field of management. Prpic [16] and Rogers and Maranto [17] show that, on average, female scholars are less productive than their male counterparts in science. Our findings indicate a strong interaction effect between gender, researcher type, and tier of publications.

We modeled cumulative tier-1 and tier-2 publications on calendar year and years since PhD, controlling for gender, school job, and PhD school fixed effects. Figure 7a depicts the exponents of the calendar year fixed effects or time trend. The cumulative publications for QT scholars are quite stable over the years; however, there is a fast growing trend for CB researchers in cumulative publications, confirming the casual observation in the field.

Fig. 7
figure 7

a Time trend of cumulative publication: CB versus QT. b Cumulative tiered publications by year since PhD graduation: CB versus QT

Figure 7b displays the vintage effect of cumulative publications. As expected, total publications grow with academic age. One striking finding is that, after controlling for other factors, it takes 26 years for QTs to surpass CBs in the total of tier-1 and tier-2 publications, which are much longer than what is shown by the mean cumulative publications based on raw data across these two groups of researchers.

4.2 Citations over Academic Career

Similarly, the citation pattern over the academic cycle reported above might be caused by differences across cohorts. We run a Poisson regression of new and cumulative citations as in Eq. (1) (the results are not reported due to space limit). Because QTs publish less and later than CBs, and because papers by QTs on average have fewer citations than papers by CBs, QT researchers always have fewer citations than their CB counterparts do, and the QT and CB gaps in citation are much larger than the gaps in publications. There are gender differences both in new and total citations. For CBs, female researchers have 10.7 % lower total citations than male researchers; for QTs, it is the opposite: female researchers have 5.0 % higher citations than male researchers. CBs always have more citations than their QT counterparts do, but the gaps are larger for male researchers than that for female researchers.

5 Performance Evaluation

Researchers face various performance evaluations: evaluation by the job market for placement, annual evaluation for merit pay raises, midterm evaluation for contract renewal, and tenure or associate promotion, and full professorship promotion. In this section, we examine how publications and citations are treated at three milestones in the academic career, job market placement, associate professorship promotion, and full professorship promotion with other variables controlled.

5.1 First Job placement

We use a school’s rank as a measure of a school’s, actually its marketing department’s, academic reputation. Even though we only look at the current faculty in the top 150 universities, their researchers had, at some point in their careers, been part of 291 different universities. We first rank each school according to the total number of articles published by their faculty in JMR, JCR, MKS, JM, and the marketing section of MS in the previous 5 years.Footnote 7 The method adopted here is the same as that used by the University of Texas at Dallas to rank business schools. The number of authors in each publication is adjusted by counting each publication as the inverse of the number of authors. The university with the highest number of authorship-adjusted publications was ranked first and so on. When schools tied in their adjusted number of publications, the same rank number was assigned to both schools. The ranks change over time, reflecting the varying fortunes of marketing departments in academia. Due to the stickiness of university rankings [4], the ranks of schools do not change dramatically in a short period, but they do change remarkably over a long time.Footnote 8

To check how various factors affect the placement of a particular candidate, we run the following regression:

$$ \begin{array}{l}P\left({R}_{it}={r}_{it}\right)=\frac{e^{-{\lambda}_{it}}{\lambda_{it}}^{r_{it}}}{r_{it}!}\\ {} \ln \left({\lambda}_{it}\right)={\beta}_{\mathrm{Type}}{\mathrm{Type}}_i+{\beta}_{\mathrm{type},1}{\mathrm{Type}}_i*\mathrm{Pub}{1}_{i0}+{\beta}_{\mathrm{type},2}{\mathrm{Type}}_i*\mathrm{Pub}{2}_{i0}+{\beta}_{\mathrm{type},3}{\mathrm{Type}}_i*\mathrm{Pub}{3}_{i0}\\ {}\kern2.25em +{\beta}_{\mathrm{Type},\mathrm{g}}{\mathrm{Gender}}_i*{\mathrm{Type}}_i+{\beta}_1{I}_{i,t}+{\beta}_2{I}_{i,\mathrm{P}\mathrm{h}\mathrm{D}}\end{array} $$
(2)

where R it is the school rank of researcher i’s initial placement in calendar year t, Pub1 i0, Pub2 i0, and Pub3 i0 are, respectively, total tier-1, tier-2, and tier-3 publications upon graduation (academic age = 0), and I i,t is the calendar year dummy. The results are in Table 5. Note that a smaller number of school rank indicates a more reputable school; thus, a negative coefficient means positive impact on job placement.

Table 5 Poisson regression of school rank of first job placement

Everything else being the same, i.e., same numbers of different tiered publications, same PhD school, same graduation year, etc., CB candidates tend to be placed in schools 23 positions lower. This indicates that CB job candidates are disadvantaged over QT candidates with same numbers of publications and need more publications to overcome their disadvantages. To have the same placement as a QT candidate, a CB candidate needs to have one more tier-1 or tier-2 publication. This is consistent with the job market observation. A QT candidate with one more tier-1 or tier-2 publication could be placed in schools ranked higher by 40 and 38 positions than a CB candidate without publications. A CB candidate with two more tier-1, tier-2, or one tier-1 plus one tier-2 publication could be placed in schools ranked higher by 17, 27, and 22 positions than a QT candidate.

We find that publications of different tiers play very different roles in the job market. While top-tier publications serve as good signals of a candidate’s research capacity and help to place him/her in a more reputable school, low-tier publications do just the opposite, sending out a negative signal about a candidate’s research capability and academic ambition. This holds for both CB and QT candidates. QT candidates who have a tier-1 publication are likely to be placed in schools 17 positions higher compared with candidates who do not have any tier-1 paper. Similarly, for a CB candidate, such benefit by a tier-1 paper is 21 positions higher in school rank. One tier-2 publication is associated with 15 and 27 positions better placement for QT and CB candidates, respectively. One tier-1 publication and one tier-2 publication together can boost up a QT candidate by 30 positions and a CB candidate by 45 positions. Tiered publications matter more to a CB job candidate than to a QT candidate. However, tier-3 publications do not help but hurt the initial job placement. One tier-3 publication can drag down a QT candidate’s placement by five positions and a CB candidate’s placement by 14 positions. Tier-3 publications hurt CB candidates more than QT candidates. The implication is, for job candidates, it is better not to have any publications than to have low-tier publications.

5.2 Associate Promotion

Promotion in academia is a mechanism to retain and recruit productive scholars.Footnote 9 In many universities, publish-or-perish has become a norm, a system; therefore, academic promotions depend crucially on the quantity and quality of publications. To check how publications and citations affect researchers’ likelihood to be promoted, we run a discrete time proportional hazard model [18] of getting promoted as follows:

$$ \begin{array}{l}{h}_i\left(t,{x}_t\right)={h}_0(t)\psi \left({x}_{it}\right)\hfill \\ {}{h}_0(t)= \exp \left({\alpha}_t\right)\hfill \\ {}\psi \left({x}_{it}\right)= \exp \left({\beta}_{\mathrm{Type},t}{\mathrm{Type}}_i*{t}_i+{\beta}_{\mathrm{Type},\mathrm{year}}{\mathrm{Type}}_i*\mathrm{year}+{\beta}_{\mathrm{Type}}\mathrm{Gender}*{\mathrm{Type}}_i+{\beta}_{\mathrm{Type}}{\mathrm{Cite}}_{i,t}+{\beta}_{\mathrm{Type},1}{\mathrm{Type}}_i*\mathrm{Pub}{1}_{it}+{\beta}_{\mathrm{Type},2}{\mathrm{Type}}_i*\mathrm{Pub}{2}_{it}+{\beta}_{\mathrm{Type},3}{\mathrm{Type}}_i*\mathrm{Pub}{3}_{it}+{\beta}_{\mathrm{age}}{t}_i+{\beta}_1{I}_{i,\mathrm{s}\mathrm{t}}+{\beta}_2{I}_{i,\mathrm{P}\mathrm{h}\mathrm{D}}\right)\hfill \end{array} $$
(3)

where h i (t, x t ) is the hazard that researcher i obtains associate promotion at academic age t, and h 0(t) is the baseline hazard. We use a nonparametric specification for the baseline hazard. ψ(x it ) is the covariate function, Cite it is the cumulative citation, and Pub1 it , Pub2 it , and Pub3 it are, respectively, cumulative tier-1, tier-2, and tier-3 publications. The model results are in Table 6.

Table 6 Results of discrete proportional hazard model of associate promotion

First, the hazard of getting promoted changes nonlinearly with academic age (Fig. 8a). It grows quickly up to year 6, and peaked at year 9 and then goes down. Everything else being the same, at almost all academic ages, QT researchers are significantly less likely to get promoted than CBs. Second, we found the hazard to be promoted decreases steadily along the years (Fig. 8b), which validates the observation of increasing difficulty to obtain associate promotion. Third, across both researcher types, there is no significant difference between male and female in the hazard of getting promoted. Fourth, tier-1 and tier-2 publications can significantly increase the hazard of promotion, and tier-3 publications decrease CBs chance to be promoted and have no effect on rates for associate promotion for QTs. In terms of the magnitude of the impact, one tier-1 publication weighs more than three tier-2 publications. Fifth, citations do not matter much for associate promotion, both for QTs and CBs.Footnote 10 This might not be surprising because when many researchers put up their dossiers for tenure promotion, their papers are either recently published or still forthcoming. Recognizing this, schools do not put too much weight on citations.

Fig. 8
figure 8

Hazard of associate promotion

5.3 Full Professorship Promotion

Another milestone in the academic career is the full professorship promotion. We run a similar discrete hazard model of full promotion since associate promotion, accounting for the effects of years since associate promotion, fixed effects for year of full promotion, citation, publications of different tiers, gender, and researcher type. The results are in Table 7.

Table 7 Results of discrete proportional hazard model of full promotion

Figure 9a shows the hazard of being promoted to full professorship by years after associate promotion. For QT scholars, such rate peaks at 5 years after associate promotion and levels off afterwards. It starts to slip down at 10 years after associate promotion. For CB scholars, the hazard of promotion also peaks at 5 years after associate promotion, but there are several peaks at year 8, year 11, and year 13. Besides, QT scholars are less likely to be promoted than their CB counterparts at any time point. Figure 9b depicts the trend of the relative (to 2011) hazard of full professorship promotion. Interestingly, unlike associate promotion that shows a declining trend, the hazard of being promoted to full professorship for QT scholars zigzags up till 2010. For CB scholars, the hazard remains relatively stable. In almost all years, QTs have higher rates to be promoted compared to CB scholars. Such advantage outweighs greatly the slight disadvantage of full promotion by years since associate promotion, as shown in Fig. 9a.

Fig. 9
figure 9

Hazard of full professorship promotion

There are no differences in the full promotion between female and male researchers. Strangely, citations lower the hazard of promotion for QTs, though the magnitude of the effect is very small. Citations do not affect the odds of full promotion for CBs. Tier-1 publications matter the most both for QTs and CBs in the full promotion, followed by tier-2 publications. Tier-3 publications have no significant impact on the full promotion.

6 Discussions and Implications

With business environment rapidly shifting to the virtual world, quantitative modelers are expected and destined to play an imperative role to come up with good research that inspires or assists strategic and daily marketing decisions. In this research, we collect data of all standing marketing faculties from the world’s top 150 universities and investigate their research productivity and impact. Through this study, we hope to provide a better understanding of the field and offer some benchmarks that have implications for the future development of individual scholars, business schools, or the marketing field as a whole.

One finding is that the portfolio of quantitative scholars becomes more and more international. North Americans are the largest group, South Asians are the second largest group, and Chinese are one of the fastest growing groups in the field. With the rise of emerging economy and continuing trend of globalization, it will therefore be beneficial for schools to have a more intentional portfolio of its marketing faculties so that external links can be established to source talents for PhD program, obtain new research ideas or data, etc. In addition, we also find that despite an increasing number of non-marketing PhDs joining the marketing field, the proportion of non-marketing PhDs is actually decreasing. The marketing discipline has been using theories and research methods from other disciplines such as economics, psychology, statistics, transportation, etc., and has benefited and flourished from this. Doctoral graduates from other disciplines are usually equipped with the most updated knowledge and research tools in those disciplines. Hence, the joining of non-marketing PhDs into the marketing field will not only enable the research of new marketing phenomena, but enable the study of existing and new questions from multiple perspectives, and enrich the whole discipline.

Promotion in academia is a mechanism to retain and recruit productive scholars. From this perspective, setting up a fair and rewarding mechanism is extremely important to motivate researchers. We found QT and CB researchers exhibit quite different patterns in research productivity. Casual observations of research output by doctoral students, job market candidates, and faculty members in marketing seem to suggest that QT researchers have fewer publications than their CB counterparts do. We find that CB researchers initially far outnumber QTs in publications and citations, and QT researchers can gradually catch up with CBs in tier-1 and tier-2 publications, but they always trail behind CBs in citations. When other factors of research productivity are controlled for, it takes 26 years for QT researchers to catch up with CB researchers in total research output of tiered publications. Difference between QTs and CBs in research productivity due to different knowledge production processes is huge. Hence, using the same bar to assess research productivity of QTs and CBs is detrimental to the development of QT scholars. This might explain the survival bias shown in the data that associate promotion is a challenge for QT scholars. However, once surviving the associate promotion, QT researchers have a much higher likelihood to be promoted to full professorship than CBs.

Our paper is not without limitations. Since it only looks at current faculty members in the top 150 schools, it suffers from a survivorship bias—only those who were hired by these schools in some point of their academic life and survived the tenure process are included in the sample. Our sample does not include the retired, the deceased, and the dropouts to lower-rank schools or industries. Since we are comparing QTs and CBs, as long as these exclusions are not systematically different between these two subareas, our findings will still hold. A suitable correction would be to track cohorts of new doctorates over time for 20 or 30 years. However, this will take time, and the curriculum vitae of those who are no longer in academia may not be available, thus furthering concerns over survivorship bias. Nevertheless, it is worthwhile to try, and we will delve into this in our future research.