Sharon Bender

 
 
 
 
 
SCaT (Square, Circle, and Triangle) in Research

 

Dr. Sharon L. Bender

February, 1997 - March, 2007

 

Square, Circle, and Triangle  |  Leadership Development Application  |  Research Application

 

Since the 1980s, I've been exploring and applying SCaT, the use of the square, circle, and triangle. This article is a journey through the years in how I've used this model.

 

Square, Circle, and Triangle

 

Many people use the square, circle, and triangle combination. Just plug in this trio of terms into your favorite search engine and you will be amazed at the plethora of applications. Have you noticed the small box that appears before a graphic opens or fails to open at an Internet site? It is an image of the square, circle, and triangle.

 

Leadership Development Application

 

Prior to developing my dissertation, I've explored use of the square, circle, and triangle (SCaT) model to formulate a new understanding for a developmental leadership paradigm. In the “New Supervisor/Manager Training Program” that I took at BASF in 1997 as offered by its Corporate Training Department, I created what I termed “Developmental Rating Scale” (DRS). In Module 2 of the program we covered “Developing Supervisory Styles through Situational Leadership.” We used materials from Ken Blanchard’s Situational Leadership program. Included was the “Leadership Behavior Analysis II” scoring guide. In my notations I used the square, circle, and triangle (SCT) and I equated those to primary, secondary, and developing leadership styles as was introduced to us. As depicted in Figure 1, I named the leadership style scale "DRS" (Developmental Rating Scale).

 

Figure 1. New Supervisor/Manager Training Program

 

 

Figure 2. Style Effectiveness Rating

 

The scale I created was based upon a rating scale that ranged from poor to good. I just used  “poor – fair – good” on my worksheet as depicted in Figure 2.

 

 

 

In this program we were introduced to Blanchard's (1991) Leader Behavior Analysis II (LBAII) and the use of the square, circle, and triangle as representing the formula I created, depicted in Figure 3.

 

Figure 3. SCT

 

I explored using developing leadership styles (square) as being constituted by primary (circle) and secondary (triangle) style matrixes. My formula as depicted in Figure 3 is square = circle + triangle or P+S=D.

 

This is the manner in which I have used SCaT in formulating takeaways through a thematic griding process in a leadership application. SCaT is also useful in conducting research.

 

In preparation for our attendance in this three-day course we were asked to complete the LBAII Survey of Leadership Behaviors.

 

Figure 4 is a copy of my course confirmation and how the LBAII was a part of this course.

 

 

 

Figure 4. Confirmation of Attendance

 

Research Application

 

In performing research for my dissertation I used triangulation (triangulation thinking), thematic analysis in a grid formation (thematic griding), and recycling of the data (data recycling) as denoted in my study published in 2000. Included are pertinent passages to define the study overall, which was to develop a model defining the characteristics of the American woman entrepreneur. Database software was used in my study to group, segment, code, and sort the data in order to explore emerging themes and patterns. This approach is the thematic griding approach. I revisited the data previously analyzed and made further interpretations. This is the data recycling approach that is used in the hermeneutic cycle approach employed in my study.

  1. Triangulation Thinking (my invention) is symbolized by the triple triangle. The process in research is to examine three different sources of data to increase validity.

  2. Thematic Griding (common term as thematic grid) is symbolized by the square and grid work. The process in research is to look at themes and patterns in the data in a grid formation, such as in a spreadsheet. Grouping, segmenting, and coding may be used in the dissemination process.

  3. Data Recycling (common term in IT) is symbolized by the recycle graphic or circle. The process in research is to recycle the data by revisiting the data again and again as in the hermeneutic cycle approach.

These three approaches (triangulation thinking, thematic griding, and data recycling) contributed to the development of the characteristics model as defined in the following excerpts from my dissertation published in 2000. Note how triangulation, thematic analysis, and recycling of the data has been applied in this research undertaking. My study was to develop a model identifying the successful American woman entrepreneur based on several characteristics established in extant works. I used credible constructs and not theories to create a fresh, new approach or transformation, something I have done with numerous inventions, walking the path of the "transformational leader."

 

Statement of the Problem

 

Several studies and individual interview projects have been conducted by others concerning women entrepreneurs, each for a particular purpose. This study merges selected sets of these investigations, illuminating the realities of the American woman entrepreneur and providing much-needed and perhaps a much-wanted consolidation of characteristics.

 

Purpose of the Study

 

The broad purpose of this study is to identify the characteristics of successful women entrepreneurs in the United States.

 

Theoretical Framework for the Study

 

It is the position of this investigation that a universal characteristics model is necessary to adequately portray the American woman entrepreneur. Likewise, it is the position of this investigation that the pertinent body of work can contribute to the development of a universal characteristics model that can be helpful to American women aspiring to be in business for themselves.

 

Research Question

 

Questions surrounding the phenomenal group of women entrepreneurs abound. But a single grand tour question has guided the objective of this investigation: How can the American woman entrepreneur be universally portrayed within seven characteristics categories (demographic, economic, support, personal, professional, political, and social) as indicated by selected studies?

 

Nature of the Study

 

The overall content of this dissertation merges the qualitative and quantitative paradigm in a kind of mixed-methodology or weighted design.

 

An interpretive aspect has been applied yielding a kind of multi-qualitative inquiry.

 

Theoretical Frameworks of Entrepreneurship

 

Gender and the cultural intertwining of class with gender are not well-developed themes in the sociology of entrepreneurship.

 

Although gender does not appear as a separate theme in Weber philosophy, women’s entrepreneurship can be accounted for by studying the expansion of their participation in market processes over time.

 

Schumpeter (1989) viewed the entrepreneurial innovators as agents of creative destruction who transform modern economies through their individual efforts. He idealizes the entrepreneur as an agent of historical social transformation.

 

The distribution of resources by gender is not a separate theme in this literature; it is subsumed by discussions of cultural adaptation and social reproduction by the ethnic status group.

 

Hermeneutic Inquiry

 

So it might be used to interpret the events in the life of an organization or individual in order to contribute to a theory or social transformation.

 

The hermeneutic cycle, by which interpretations of meaning are reinterpreted through new encounters with the text, is in fact constrained by reality, so that the range of interpretations is progressively narrowed as knowledge advances. The hermeneutic cycle is the process by which the researcher returns to a text, or to the world, and derives a new interpretation, perhaps a new interpretation every time, or a new one for every interpreter. It is clear that this happens all the time. A book, a movie, or other written discourse could be understood a little differently each time it is read or seen (Bernstein, 1983).

 

Description of Methodology

 

In general, quantitative methods are the means and not the ends of an evaluative process. The goal is not numbers, but numbers as symbols more easily interpreted by the decision-maker (Creswell, 1994). Although it is used by both qualitative and quantitative approaches, coding data in this study enlists this philosophy of quantitative inquiry. This study incorporates a quantitative methodology in that it measures occurrences to determine the strength of individual findings. However, this occurs interpretively and structurally rather than quantifiably, because this study does not enlist statistical or probability analysis.

 

There are a number of reasons to apply a multi-method approach in combining the qualitative and quantitative methodologies. Evaluation research typically has multiple purposes. When combined for the same purpose, the two method types can build upon each other to offer insights that neither one alone could provide. All methods have biases. Only by using multiple techniques can the researcher triangulate the underlying truth. Triangulation is a hybrid variation to the strict dichotomy of quantitative versus qualitative research. In redefining qualitative methods as techniques of personal understanding, and in redefining the quantitative techniques of counting, scaling, and abstract reasoning, it can be seen how these two methods build upon each other (Creswell, 1994). [See Q3 Inquiries]

 

The moment data is gathered, the researcher begins coding allowing the researcher to detect certain categories and properties. Immediate coding allows the grounded theory researcher to scour the data for additional or improved means to collect the data with reduced bias. The coding process entails finding appropriate phrases and word grouping to accurately reflect the emergent trends and themes of the data collected. Coding is applied in this study to aid in the data collection and assimilation process, and to group the data into their appropriate categories.

 

An indicator that the theoretical sampling process is complete is saturation. This is the point at which the researcher finds no new data emerging from a category, the category is dense, that is fully described, and the relationships between categories are well established and validated (Strauss & Corbin, 1990).

 

The basic procedure involves constant comparative analysis. The approach is to analyze textual data and to discern the variables and interrelationships from the text. Once the variables have been discerned, they are coded, categories are created, and the researcher tries to integrate categories and begins to hypothesize. Similar categories are consolidated and reduced to a smaller number of concepts until there is no additional data to be found or categorized. The final stage is using the broad categories to write a theory based on the coded data (Merriam & Simpson, 1995).

 

This inquiry employs interpretational analysis, which finds “constructs, themes, and patterns that can be used to describe and explain the phenomenon being studied” (Gall et al., 1996, p. 562). Software programs utilized in this investigation have enlisted the five broad steps in interpretational analysis. The first is segmenting the database. This data entry into a computer database segmented into numbered sections of text. Each segment or analysis unit represents one item of information. The researcher can refer to any segment by the section numbers. The next step is to develop categories in order to summarize the data. “Researchers need to develop a category label and definition for each type of phenomenon in the database that is to be analyzed” (Gall et. al., 1996, p. 564). The researcher can define these categories, or those used by other researchers can be used. Like this study, researchers who create their own categories are using an approach based in grounded theory in that it relies on categories derived from the collected data, rather than on others' theories. The segments of data collected are coded in accordance with their defined categories, and those that are defined in the same category are grouped together. At this point the researcher has grouped segments across defined categories that can be compared and contrasted for usefulness. This methodology leads to the final step of drawing conclusions from the data.  

 

Case study methodology is another qualitative application inherent in this study in that it examines existing cases. Like hermeneutic inquiry, case studies conform to the conventions of interpretive traditions (Piantanida & Garman, 1995). This investigation does not, however, utilize the case study methodology in its full spectrum of applications such as direct observation of the population under investigation (Stake, 1995).

 

This study also fails to fully utilize a phenomenological approach in that it does not intently study a phenomenon for an extended period of time. Although this study investigates a phenomenon, phenomenology looks at the essence of experience, whereas Hermeneutics queries the conditions that contribute to how the researcher interprets human behavior or actions (Rossman & Rallis, 1998).

 

This study utilizes interpretational analysis rather than structural analysis, which seeks to identify qualitative patterns within the data itself. Unlike interpretational analysis, structural analysis requires no judgment or assignment of meaning by the researcher upon the data. The data is viewed as an event separate from the perception of the researcher. In addition, this study utilizes reflective analysis in that it relies almost entirely on inference, perception, intuition, and researcher insight; although this method of analysis avoids the reliance on coding and semi quantifying the information gained during the study. Instead, it relies on the researcher to read into the data and develop an analysis based on personal judgment/experience rather than statistics (Gall, et. al., 1996). This study utilized coding to assist in categorization of the data and to interpret the data using reflective analysis.

 

Although this study applied a multi-method approach, the primary research procedure that was utilized in this study is the collection and analysis of existing documents (written discourse). The examining and recording of documents and visual materials in this study followed the protocol format for identifying a) information about the document or material and b) key categories that the researcher is looking for in the written discourse as the source of information (Creswell, 1994).

 

Data Analysis Procedure

 

The methodological framework used in this study stems from compilation of written discourse from which discourse analysis has identified patterns in the data. Discourse analysis describes a heterogeneous range of social science research based on the analysis of recorded talk (Silverman, 1993), and the researcher is the primary instrument for analysis of the findings. Based on the hermeneutic approach, the researcher in this study utilized interpretation methods to capture meaning from the data, coded the data, categorized the data, and produced the characteristics model.

 

The analysis was based on data reduction and interpretation (Marshall & Rossman, 1995). This means the researcher takes a voluminous amount of themes and then interprets this information by using some schema. Tesch (1990) called this process de-contextualization and re-contextualization. This process results in a higher level analysis. “While much work in the analysis process consists of taking apart, the final goal is the emergence of a larger, consolidated picture” (Tesch, 1990, p.97). The schema in this study encompasses a procedure to reduce information to perform a summarization of the content of the material for the purpose of highlighting the research objective and conclusions.

 

The following steps (Tesch, 1990) denote the analysis process applied in this investigation:

 

1. Get a sense of the whole. Read through the documentation to be analyzed, jotting down or highlighting major concepts.

2. Go through the content, do not think about the substance of the information, but rather its underlying meaning. Note what seems to represent a reason for performing this study in each case, what parameters exist in its purpose, and any relative verbiage.

3. Make a list of the results of the analysis for each piece.

4. Cluster together similar themes according to pre-determined questions.

 

Utilize the hermeneutic cycle approach and coding for analysis and categorization of data.

 

This study strongly applies the hermeneutic cycle, by which interpretations of meaning are reinterpreted through new encounters with the text so that the range of interpretations is progressively narrowed as knowledge advances. The study follows the hermeneutic cycle philosophy insofar as the researcher returns to the text again and again, deriving a new interpretation, perhaps every time.

 

The following is a sample of my use of these constructs that I explored in 2004:

 

 

 

This trio of geographic shapes that I refer to as SCaT are a very, very common and popular application. Countless individuals and organizations use this trio of images in varying forms. This is another of my own applications in which I created as a representation of the terms "triangulation, categorization, and interpretation" that I've named "Triad Analysis."

 

These are three distinct terms and applications I used in my dissertation study in 2000 as follows:

 

Triangulation/Categorization/Interpretation

 

This methodology contributes triangulation (validity) in the findings (p. 92). This line of questioning may contribute triangulation and validity to the proposed study because a variety of existing literature has been combined to address the objective of developing an accurate portrait of the American woman entrepreneur. Triangulation in the classic sense is “seeking convergence of results” (Creswell, 1994) (p. 7). Triangulation is a hybrid variation to the strict dichotomy of quantitative versus qualitative research (p.76). According to Eisner (1991, p.55), related to coherence is the notion of structural corroboration (triangulation) (p. 79). This study utilized coding to assist in categorization of the data and to interpret the data using reflective analysis (p. 84). Utilize the hermeneutic cycle approach and coding for analysis and categorization of data (p. 95). The purpose of this chapter is to present an overall analysis and interpretation of the findings in this study and to recommend areas for additional research (p. 124). Among several applications, hermeneutic inquiry was enlisted to the greatest extent meaning that analysis of the literature from which summaries were developed was largely based on the researcher’s interpretation of the data. The hermeneutic cycle was further utilized in that the data collected was looked at several times to narrow the material to its highlighted points. Such points were captured in Chapter 2 and again in the form of slides, which was presented to the panel of auditors for feedback. Interpretive summaries were made of the findings that directly address the grand tour question about how the American woman entrepreneur can be universally portrayed within seven characteristics categories (demographic, economic, support, personal, professional, political, and social) as indicated by selected studies. It is important to note that this investigation has been subject to the interpretation of the researcher (p. 127). Based on the hermeneutic approach, the researcher in this study utilized interpretation methods to capture meaning from the data, coded the data, categorized the data, and produced the characteristics model (p. 93). The data analysis in this study was conducted as an activity simultaneously with data collection, data interpretation, and narrative report writing. The analysis was based on data reduction and interpretation (Marshall & Rossman, 1995). This means the researcher takes a voluminous amount of themes and then interprets this information by using some schema (p. 93). Develop a list of significant points concerning the characteristics portraying the American women entrepreneur, based on interpretation of the researcher (doctoral student and experienced entrepreneur) (p. 94).

 

The TCI (triangulation, categorization, and interpretation) model is explained more thoroughly and the images I use to represent them follows:

 

Triangulation

My study involved a hybrid approach in its application of triangulation thinking. I have visualized this as the triple triangle because there are three approaches used in the study for which the data so related was subjected to 1) three different forms of analysis (mixed-methodology, thematic analysis, and recycling of the data); 2) three differently weighted research approaches (hermeneutic, phenomenology, and case study); and 3) three different analysis processes (coding, categorizing, and interpreting). The triple-sides model connotes three levels of further triangulation per its three sides. Each of the three parts on each side can be further broken down into three more parts.

 

 

 

Categorization

My study involved categorizing themes into a database from which the data could be manipulated, revealing patterns and emerging themes for analysis. I have visualized this as the six-sided box with a grid face because my approach was guided by the six questions "what, where, when, who, why, and how" in order to arrive at a categorization (formulate takeaway statements). The objective is to promote thinking and discovering in an interpretive manner.  Another application of thematic griding may be to accomplish rudimentary findings of relationships from which a database can be constructed as I have done in my 2000 dissertation work. In this approach you might examine terms vertically, horizontally, or diagonally.

 

 

 

Interpretation

My study involved recycling the data to perform a reinterpretation, examining the data over and over to explore the different findings. I have visualized this as the recycle symbol or the circle. Data recycling is a term I was exposed to in my BA program in 1994 and again while working at BASF in my role as IS Analyst II in 1996, but this was not a term ripe for use in my study. I would have cited Ownby (2001) on the effects of recycling the data, but that publication occurred after my study was produced and published in 2000. In the interpretational sense, data recycling provides a means to analyze data from multiple perspectives and levels to reach perhaps a different perspective each time the data is revisited.

 

According to Bender, Brewer, and Whale (2006), "Developing responses from common themes are possible using thematic griding, an application in cartographic science, a process used to explore ideas and concepts. The thematic approach organizes subject matter around a unifying theme. Ideas and concepts are integrated around the identified theme, building constructs into a whole. This approach reinforces and strengthens the concept of patterns. Users are then able to make important connections and understand more of the essential questions upon which to build problem and solution statements. In order to use this application, seek to discover those frequently asked questions and strive to develop an understanding of the major kinds of feedback used successfully in the online learning environment."

 

According to Frazier and Clifton (1995), "Many theories of events exist and we are not in a position to choose among them. For the present purpose, we will simply assume that along with a thematic assigner and its thematic grid comes an event variable, and the thematic grid thus indirectly provides a definition of a potential minimal event. Phases associated with a thematic grid such as a manner adverbial may also contribute to the definition of a potential event. Temporal and aspectual markers may be exploited to cast a potential event as an eventive as opposed to a stative. We take the prototypical instance of an eventive to be a single punctual event or readily delimited occasion that may thus be readily located in time and space." The authors present a new theory of sentence processing that allows a limited type of syntactic analysis of sentences. According to Ayan and Dorr (n.d.), "Syntactic patterns for each thematic grid are computed by combining the results of the mapping from each thematic role in the grid to a syntactic pattern, one by one," as I have done in my study.

 

According to Adilkno (n.d.), only the strategy of data recycling, meaning to compost information as the manure for fresh events and phenomena so that they in turn may revolve through the wheel of mythical history as data offers some hope of an effective reduction of immanent data accretion. "Compact hermeneutics rears its head as a compressed file, unzipped by the reader when requesting a book into an overall text, suddenly rich in slanted distinctions. The theoretical signal has been divested of its superfluous profundity. Even with 70 percent of the argument omitted, discourse still comes through loud and clear. There is no question of clandestine advertising for
other registered authors. Our subliminal discomfort, which would like to have the diagonal text related to something at least, is not rewarded with specific clues. Those in dataland who believe they have the hang of pattern recognition soon embark on a quest for the exclusive keyword to disclose new universes."

 

My study exemplifies the manner in which a takeaway may be established from the thematic griding and data recycling processes, which nearly work in unison. As noted in my study, "The final stage is using the broad categories to write a theory based on the coded data. This methodology leads to the final step of drawing conclusions from the data." Drawing conclusions or theories from the study constitute developing takeaways. I used the takeaway regularly while working in Strategic Planning. The takeaway is a means to express the greatest outcome from the material. The takeaway always fit inside a narrow box that ran along the bottom of our slides.

 

Sources

 

Adilkno. (n.d.). Writing in the media. The Media Archive. http://ftp.fortunaty.net/com/textz/textz/adilkno_the_media_archive.txt

 

Ayan, N. F., & Dorr, B. J. (n.d.). Creating parsing lexicons from semantic lexicons automatically and its applications. University of Maryland.

 

Bender, S. L. (2006). Data recycling in the hermeneutic cycle approach. http://www.sharonbender.com/data_recycling.html

 

Bender, S. L. (2006). Doctoral odyssey. http://www.sharonbender.com/doctoral_odyssey.html

 

Bender, S. L. (2006). Pattern thinking and geometric fascinations. http://www.sharonbender.com/pattern_thinking.html

 

Bender, S. L. (2006). Thematic griding and the five steps of interpretational analysis. http://www.sharonbender.com/thematic_griding.html

 

Bender, S. L. (2005). Triangulation thinking. http://www.sharonbender.com/triangulation.html

 

Bender, S. L. (2000). Seven Characteristics of the American Woman Entrepreneur: A Hermeneutic Approach to Developing a Universal Characteristics Model. [UMI AAT998805]

 

Bender, S. L., Brewer, J., & Whale, R. (2006). Communicating with online learners. ITDL. http://www.itdl.org/Journal/Jun_06/article03.htm

 

Blanchard, K. (1991). Leadership behavior analysis II. Blanchard Training and Development, Inc.

 

Frazier, L., & Clifton, C. (1995). Construal: Language, speech, and communication. The MIT Press.

 

Ownby, A. R. (2001). Cycling and recycling: The effects of group context and member involvement on social capital. Dissertation, Rice University.

 
   
 
 
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