Two-factor models of personality

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The two-factor model of personality is a widely used psychological factor analysis measurement of personality, behavior and temperament. It most often consists of a matrix measuring the factor of introversion and extroversion with some form of people versus task orientation.

Contents

Beginnings

The Roman physician Galen mapped the four temperaments (sanguine, phlegmatic, choleric and melancholic) to a matrix of hot/cold and dry/wet, taken from the four classical elements. [1] Two of these temperaments, sanguine and choleric, shared a common trait: quickness of response (corresponding to "heat"), while the melancholic and phlegmatic shared the opposite, a longer response (coldness). The melancholic and choleric, however, shared a sustained response (dryness), and the sanguine and phlegmatic shared a short-lived response (wetness). This meant that the choleric and melancholic both would tend to hang on to emotions like anger, and thus appear more serious and critical than the fun-loving sanguine, and the peaceful phlegmatic. However, the choleric would be characterized by quick expressions of anger (like the sanguine, with the difference being that the sanguine cools off); while the melancholic would build up anger slowly, silently, before exploding. Also, the melancholic and sanguine would be sort of "opposites", as the choleric and phlegmatic, since they have opposite traits. [2]

These are the basis of the two factors that would define temperament in the modern theory.

Development

In the last few centuries, various psychologists would begin expressing the four temperaments in terms of pairs of behaviors that were held in common by two temperaments each.

Ivan Pavlov (1849–1936), from his work with dogs, came up with the factors of "passivity" (active or passive) and "extremeness" (extreme response or moderate response). His view of the temperaments in dogs was:

This theory would also be extended to humans.

Alfred Adler (1879–1937) measured "activity" (connected with "energy") against "social interest", yielding the four "styles of life": [3]

These he compared to the choleric, phlegmatic, melancholic and sanguine respectively. [4]

Erich Fromm's (1900–1980) factors were acquiring and assimilating things ("assimilation"), and reacting to people ("socialization"). These two factors form four types of character, which he calls Receptive, Exploitative, Hoarding and Marketing.

Also deserving mention is a single scale invented in the 1940s by Karen Horney (1885–1952). This one dimension measured "movement" towards, against and away from people. This would result in the coping strategies, in which these three "neurotic" patterns would be paired with a fourth, "healthy" one called "movement with people". These would describe behaviors associated with both extroversion and reacting to people, in which people attempt to avoid getting hurt, by either distancing themselves from others or maintaining self-sufficiency and independence on one hand; or approaching others, attempting to control or exploit them, and otherwise gain power and recognition; or "give in" to them to gain acceptance and approval, on the other.

Factors integrated into modern instruments

As the twentieth century progressed, numerous other instruments were devised measuring not only temperament, but also various individual aspects of personality and behavior, and several began using forms of extroversion and the developing category of people versus task focus as the factors.

In 1928, William Moulton Marston identified four primary emotions, each with an initial feeling tone of either pleasantness or unpleasantness. This led to his viewing people's behavior along two axes, with their attention being either "passive" or "active", depending on the individual's perception of his or her environment as either "favorable" or "antagonistic". By placing the axes at right angles, four quadrants form with each describing a behavioral pattern:

This would be further developed in the 1970s by John G. Geier [5] into the DiSC assessment System, which grades individual scales of "Dominance", "Influence", "Steadiness", and "Conscientiousness". By now, it would be classified in terms of the two factors; consisting of pairs of Extroverted or "Assertive" aspects (D, I), Introverted or "Passive" aspects (S, C), Task-oriented or "Controlled" aspects (D, C) and social or "Open" aspects (I, S).

The California Psychological Inventory's CPI 260 Instrument also has similar scales, of "Initiates action, Confident in social situations" versus "Focuses on inner life, Values own privacy"; and "Rule-favoring, Likes stability, Agrees with others" versus "Rule-questioning, Has personal value system, Often disagrees with others" and the four "lifestyles": Leader, Supporter, Innovator, and Visualizer.

Two-Factors expanded to measure more than four types

Galen also had intermediate scales for "balance" between the hot/cold and wet/dry poles, yielding a total of nine temperaments. Four were the original humors, and five were balanced in one or both scales. [6] [7] [8]

Another addition to the two factor models was the creation of a 10 by 10 square grid developed by Robert R. Blake and Jane Mouton in their Managerial Grid Model introduced in 1964. This matrix graded, from 0–9, the factors of "Concern for Production" (X-axis) and "Concern for People" (Y-axis), allowing a moderate range of scores, which yielded five "leadership styles":

The Thomas Kilmann Conflict Mode Instrument (TKI) used a version of this with "Assertiveness" and "Cooperativeness" as the two factors, also leading to a fifth mode:

FIRO-B would call the two dimensions Expressed Behavior and Wanted Behavior, and use three separate matrices for the respective areas of Inclusion (social skills) Control (leadership and responsibility-taking) and Affection (deep personal relationships). In 1977, "locator charts" were produced for each area by Dr. Leo Ryan, providing a map of the various scores, following the Managerial Grid model, with unofficial names assigned to different score ranges. They were generally grouped into five main types for each area, in the vein of the Managerial Grid and TKI, except that moderate scores (generally 4, 5) in only one dimension (with the other dimension being high or low) were given separate names, creating nine basic groups for each area (low e/w, low e/high w, low e/moderate w, etc.). In the control area, there is a tenth group created by a further division of the low e/high w range.

This would form the basis of the Five Temperaments theory by Dr. Richard G. and Phyllis Arno, in which the ancient temperaments were mapped to the FIRO-B scales (in all three areas), with Phlegmatic becoming the moderate e/w instead of low e/high w, which was now taken to constitute a fifth temperament called "Supine", which has many of the "introverted and relationship oriented" traits of the other types defined as such, above. (The "Wanted behavior" scale is generally renamed "Responsive behavior"). The moderate scores mixed with high or low are designated "Phlegmatic blends" and divided with 4 being a blend of Phlegmatic with the lower adjacent temperament, and 5 being a blend with the higher adjacent temperament. This results in 13 separate ranges in each area.

Other factor pairs

Other factors devised along the way measured other aspects of personality, mostly cognitive aspects. This would form a second strain of temperament theory, one which enjoys the most popularity today.

Immanuel Kant (1724–1804) defined his typology by a duality of the beautiful and sublime, and concluded it was possible to represent the four temperaments with a square of opposition using the presence or absence of the two attributes. He determined that the phlegmatic type has no interest in either the beautiful or the sublime, so there was an absence of both (sb). The melancholic had a feeling for both (SB), and the sanguine had a predominating feeling for the beautiful (sB), while the choleric, he determined after comparing with the melancholic, lacked a sense of beauty and had only a sense of the sublime (Sb). [9]

Hans Eysenck (1916–1997) was one of the first psychologists to analyze personality differences using a psycho-statistical method (factor analysis), and his research led him to believe that temperament is biologically based. In his book Dimensions of Personality (1947) he paired Extraversion (E), which was "the tendency to enjoy positive events", especially social ones, with Neuroticism (N), which was the tendency to experience negative emotions. By pairing the two dimensions, Eysenck noted how the results were similar to the four ancient temperaments.

He later added a third dimension, psychoticism, resulting in his "P-E-N" three factor model of personality. This has been correlated with two separate factors developed by the Big Five personality traits (Five Factor Model), called "agreeableness" and "conscientiousness"; the former being similar to the people/task orientation scale elaborated above. Neuroticism in Eysenck's case acted like the people/task-orientation scale (except for being inverted as to which temperaments were "high" or "low"), but was later separated as a distinct factor in the Big Five.

Carl Jung, in the early 20th century, introduced the four factors that would become a part of the later MBTI, and these included extroversion/introversion, sensing and intuition, and thinking/feeling, which would be correlated to Agreeableness, with Judging-Perceiving roughly as Conscientiousness.

Ernst Kretschmer (1888–1964) divided personality into two "constitutional groups": Schizothymic, which contain a "Psychaesthetic proportion" between sensitive and cold poles, and Cyclothymic which contain a "Diathetic" proportion between gay and sad. The Schizoids consist of the Hyperesthetic (sensitive) and Anesthetic (Cold) characters, and the Cycloids consist of the Depressive (or "melancholic") and Hypomanic characters.

David W. Keirsey would make the connection of the two groups with Myers' Sensors and iNtuitors, providing the two factors for his four temperaments. [10] He would rename Sensing to "Observant" or "Concrete", and Intuiting to "Introspection" or "Abstract", and pair it with "Cooperative" versus "Pragmatic" (or "Utilitarian") which would be the "Conscientiousness" scale; to form:

Keirsey also divided his temperaments by "Role-Informative"/"Role Directive" to form eight "intelligence types"; and finally by E/I, to yield the 16 types of the MBTI. It was when his former student, Berens, paired the latter two factors separately that she yielded here Interaction Styles, discussed above. Keirsey also divided the intelligence types by I/E into "roles of interaction". [11]

The Enneagram of Personality would map its nine types to a matrix, whose scales are "Surface Direction" and "Deep Direction". These are similar to Extroversion and people/task-orientation, but instead of the types being plotted on a scale of 0–9, Horney's original three grades of "towards", "away", and "against" were retained, and now used in both dimensions (graded respectively, as "+", "0" and "-"). This changes the criteria, as the "moderate" (0) grade is considered "away", but this does not necessarily correspond to the moderate extroversion or agreeableness scores of the other instruments.

Table of theories and instruments neither using scales explicitly nor recognizing a moderate temperament

DateFounderLow first and second factorshigh first factor low second factorhigh first and second factorslow first factor, high second factor
c. 400 BC Hippocrates' four humours Humorism black bile yellow bile blood phlegm
autumn, adulthood, gallbladder, dry/cold summer, youth, spleen, hot/dry spring, infancy, liver, wet/hot winter, old-age, brain/lungs, cold/wet
c. 1025 Avicenna's four primary temperaments [12] Technically speaking, rheumatism , insomnia , wakefulness , acquired habit, lack of desire for fluids , loss of vigour ~deficient energy , high pulse rate, lassitude, sleepiness all appear to belong to a moderate temperament and Avicenna has assigned them rather arbitrary values
c. 1966Temperament by LaHaye [13] MelancholyCholericSanguine [14] Phlegmatic
1970s Herrmann Brain Dominance Instrument Analytical ThinkingImaginative ThinkingInterpersonal ThinkingSequential Thinking
c. 1998 Hartman Personality Profile YellowBlueRedWhite
2014Erikson's behavior typesGreen

Table of theories and instruments not recognizing a moderate temperament

DateFounderfirst factorsecond factorLow first and second factorshigh first factor low second factorhigh first and second factorslow first factor, high second factor
c. 1900 Alfred Adler's four Styles of Life"activity""social interest"AvoidingRuling or DominantSocially UsefulGetting or Leaning
c. 1920 Kretschmer's four charactersSchizothymic (sensitive/cold)Cyclothymic (gay/sad)AnestheticHypomanicDepressiveHyperesthetic
c. 1928William Marston and John G. Geier DiSC assessment Assertive/PassiveOpen/ControlledConscientiousnessDominanceInfluenceSteadiness
c. 1947 Erich Fromm's four Types of CharacterassimilationsocializationHoardingExploitativeMarketingReceptive
c. 1948 California Psychological Inventory CPI 260action, social confidence/inner life, privacyRule-favoring/questioning, stability/value system, Agreeable/disagreeableVisualizerLeaderInnovatorSupporter
1958 (1970s-80s) MBTI codes (Socionics)E/IInformative/Directive (mapped by David Keirsey) (Socionics alternately maps it to S/N or j/p)ISTJ, INTJ, ISTP, INTP (IN, Ij)ESTJ, ENTJ, ESTP, ENTP (EN, Ej)ESFP, ENFP, ESFJ, ENFJ (ES, Ep)ISFP, INFP, ISFJ, INFJ (IS, Ip)
c. 1960sStuart Atkins LIFO's four Orientations To LifePlanning vs. DoingDirecting vs. InspiringConserving-HoldingControlling-TakingAdapting-DealingSupporting-Giving
David Merrill, "Social Styles"Assertiveness (Ask-Tell)Responsiveness (Control-Emote)AnalyticalDrivingExpressiveAmiable
1968 Herzberg's motivation-hygiene theory motivationhygieneReform or failQuasi-Indenture PerfectPaycheck
c. 1996Tony Alessandra Personality StylesIndirect/DirectOpen/GuardedThinkerDirectorSocializerRelater
c. 2001Linda V. Berens' four Interaction StylesInitiating-RespondingInforming-DirectingChart the CourseIn ChargeGet Things GoingBehind the Scenes
2011Strategy layer of 16 Personalitiesextroversion Neuroticism Confident IndividualismSocial EngagementPeople MasteryConstant Improvement

Table of theories and instruments compared to using "Concrete"/Abstract" (Sensing/Intuitive) and "Cooperative"/"Pragmatic"

Date (c.)AuthorArtisan temperamentGuardian temperamentIdealist temperamentRational temperament
590 BC Ezekiel's four living creatureslion (bold)ox (sturdy)man (spiritual)eagle (far-seeing)
400 BC Hippocrates' four humours cheerful (blood)somber (black bile)enthusiastic (yellow bile)calm (phlegm)
340 BC Plato's four charactersartistic (iconic)sensible (pistic)intuitive (noetic)reasoning (dianoetic)
325 BC Aristotle's four sources of happinesssensual (hedone)material (propraietari)ethical (ethikos)logical (dialogike)
185 AD Irenaeus' four temperamentsspontaneoushistoricalspiritualscholarly
190, 1900, 1966 Galen's four temperaments, Ivan Pavlov's four temperaments ( Alfred Adler's four Styles of Life), Temperament by LaHaye sanguine (Socially Useful) melancholic (Avoiding)choleric (Getting or Leaning)phlegmatic (Ruling or Dominant)
1550 Paracelsus' four totem spiritschangeable salamanders industrious gnomes inspired nymphs curious sylphs
1800 Kant's four temperaments MelancholicPhlegmaticSanguineCholeric
1905 Adickes' four world viewsinnovativetraditionaldoctrinaireskeptical
1912 Dreikurs'/Adler's four mistaken goalsretaliationservicerecognitionpower
1914, 1978, 1988 Spranger's four* value attitudes, Keirsey/Bates four temperaments (old), Keirsey's four temperamentsartistic, Dionysian (artful) > Artisan economic, Epimethean (dutiful) > Guardian religious, Apollonian (soulful) > Idealist theoretic, Promethean (technological) > Rational
1920 Kretschmer's four character styles(hypo)manicdepressiveoversensitive (hyperesthetic)insensitive (anesthetic)
1928William Marston and John G. Geier DiSC assessment InfluenceConscientiousnessDominanceSteadiness
1947 Fromm's four orientations ( Eysenck's four temperaments )receptive (Sanguine)hoarding (Phlegmatic)marketing (Melancholic)exploitative (Choleric)
1948 California Psychological Inventory CPI 260InnovatorVisualizerSupporterLeader
1958 (mapped to I/E and T/F by David Keirsey same year, alternately mapped to S/N or j/p by Socionics 1970s-80s) Myers' Jungian typesSP (sensing perceiving) (EF, ES, Ep)SJ (sensing judging) (IT, IS, Ij)NF (intuitive feeling) (IF, IN, Ip)NT (intuitive thinking) (ET, EN, Ej)
1960sStuart Atkins LIFO's four Orientations To LifeAdapting-DealingConserving-HoldingSupporting-GivingControlling-Taking
David Merrill, "Social Styles"ExpressiveAnalyticalAmiableDriving
1996Tony Alessandra Personality StylesSocializerThinkerRelaterDirector
1998 (Erikson's behavior types are a 2014 revision) Hartman Personality Profile RedYellowBlueWhite > Green
2001Linda V. Berens' four Interaction StylesGet Things GoingChart the CourseBehind the ScenesIn Charge
2004Gordon-Bull Nexus Model [15] GammaBetaDeltaAlpha
2023Brain-Quadrant Unifying Theory of Personality Types and Societal Roles [16] Right-Front Quadrant, Create/Initiate, Plan ExplorersLeft-Front Quadrant, Decide/Direct, People DirectorsRight-Rear Quadrant, Relate/Respond, People HelpersLeft-Rear Quadrant, Analyze/Inform, Plan Directors
Keirsey, David (May 1, 1998) [1978]. Please Understand Me II: Temperament, Character, Intelligence (1st ed.). Prometheus Nemesis Book Co. ISBN   1-885705-02-6.
Montgomery, Stephen (2002). People Patterns: A Modern Guide to the Four Temperaments (1st ed.). Archer Publications. p.  20. ISBN   1-885705-03-4.
*Spranger was said to have six value attitudes, but Keirsey cites him as saying that the remaining two, "social" and "political", "pertained to all [men], and hence, were not distinguishing". [17] In fact, "political" was a category containing both theoretic and artistic, and "social" contained economical and religious. [18]

Table of theories and instruments using Hippocrates' four humours but not recognizing a moderate temperament

DateFounderfirst factorsecond factorLow first and second factorshigh first factor low second factorhigh first and second factorslow first factor, high second factor
c. 190 (1970s) Galen's four temperaments (i.e. modes of response), Big Five-HEXACO delay (quick, slow); extroversionsustain (short, long); Agreeableness melancholic choleric sanguine phlegmatic
c. 1800 (1947) Kant's four temperaments (i. e. recognition of the two factors of things), Eysenck's four temperaments beauty (extroversion)sublime (Neuroticism)PhlegmaticSanguineMelancholicCholeric
c. 1900 Ivan Pavlov's four temperamentsPassivity: (Active or Passive)Extremeness: (Extreme response or Moderate response) melancholic (Weak inhibitory) choleric (Strong excitatory) sanguine (Lively) phlegmatic (Calm imperturbable)

Table of theories and instruments using Hippocrates' four humours

DateFounderfirst factorsecond factorLow first and second factorshigh first factor low second factorhigh first and second factorslow first factor, high second factorModerate
c. 1984The Arno Profile System (Five Temperaments)ExpressiveResponsiveMelancholyCholericSanguineSupinePhlegmatic
c. 1995Worley Identification Discovery ProfileDemonstrated, DesiredSocial, Leadership, RelationshipPhlegmaticIntroverted Sanguine

Classical elements c. 450 BC

Introverted, task-orientedExtroverted, task-orientedExtroverted, relationship-orientedIntroverted, relationship-orientedModerate
earth fire air water ether

Table of theories and instruments using extroversion and people-task-orientation

DateFounderExtroversion scalePeople-task orientation scaleIntroverted, task-orientedExtroverted, task-orientedExtroverted, relationship-orientedIntroverted, relationship-orientedModerate
1959 Holland Codes People vs. Things-SociabilityData vs. Ideas-ConformityR-C, CR > RC > R~C [19] E-S, ES > SE > E~SS-A, AS > SA > A~SI-R, IR > RI > I~Rremaining 142 codes
1964Blake-Mouton Managerial Grid Model Concern for PeopleConcern for People/Concern for ProductivityImpoverishedProduce or PerishTeam TypeCountry ClubMiddle of the Road
1973Jay Hall Conflict Management [20] Concern for personal goalsConcern for relationshipsAvoid, leave-lose/loseCompete, control-win/loseCollaborate, synergy-win/winAccommodate, yield-lose/winCompromise-win a bit/lose a bit (neutral/neutral)
1974Thomas-Kilmann Conflict Modes [21] AssertivenessCooperativeness
2011Role layer plus Identity aspect of 16 Personalities mapped to Jay Hall Conflict Management and Thomas-Kilmann Conflict Modes Neuroticism (as correlated to introversion)High Openness plus Agreeableness/Low Openness plus ConscientiousnessSP-tUrbulent/NT-U v. SP-U/NT-U; I v. I > I v. E > E v. ESP-U/NT-U v. SP-Assertive/NT-A as SP-A/NT-A, SP-U/NT-U v. SJ-U/NF-U as SJ-U/NF-U; I v. E > I v. I~E v. ESJ/NF v. SJ/NF, A v. A; E v. E > E v. I > I v. ISP-U/NT-U v. SP-A/NT-A as SP-U/NT-U, SP-U/NT-U v. SJ-U/NF-U as SP-U/NT-U; I v. E > I v. I~E v. EA v. U, SP-A/NT-A v. SP-A/NT-A, SJ-U/NF-U v. SJ-U/NF-U

William Schutz, Fundamental Interpersonal Relations Orientation-B

ScoreInclusionControlAffection
Low e and wShy
Aloof
Absent-minded
Rebellious
Cold
Defensive
high e and wOutstanding
Friendly
Authoritarian
Submissive
Empathetic
Needy
High e but low wOutstanding
Aloof
Authoritarian
Rebellious
Empathetic
Defensive
low e but high wShy
Friendly
Absent-minded
Submissive
Cold
Needy
moderate e and wSocialDemocratPersonal

[22]

In 1977, a clinical psychologist who worked with FIRO-B, Dr. Leo Ryan, produced maps of the scores for each area, called "locator charts", and assigned names for all of the score ranges in his Clinical Interpretation of The FIRO-B:

ScoreInclusionControlAffectionTemperament by APS (all 3 areas)
Low e and wThe LonerThe RebelThe PessimistMelancholy
moderate e, low w"Now You See Him, Now You Don't" Tendencies Self-Confident "Image of Intimacy" TendencyPhlegmatic Melancholy / Phlegmatic Choleric
High e, low wNow You See Him, Now You Don'tMission ImpossibleImage/(Mask) of Intimacy Choleric
high e, moderate wThe Conversationalist"Mission Impossible" with Narcissistic TendenciesLiving Up To Expectations Sanguine Phlegmatic / Choleric Phlegmatic
high e and wPeople Gatherer (formerly, "Where are the People?")Dependent-Independent conflictThe Optimist Sanguine
moderate e, high wHidden InhibitionsLet's Take a BreakCautious Lover In DisguisePhlegmatic Supine / Phlegmatic Sanguine
low e, high wInhibited IndividualOpenly Dependent Person; (w=6: Loyal Lieutenant)Cautious LoverSupine
low e, moderate wCautious ExpectationThe CheckerCareful ModerationSupine Phlegmatic / Melancholy Phlegmatic
moderate e and wSocial FlexibilityThe MatcherWarm Individual/The Golden MeanPhlegmatic

Enneagram

Deep (long-term) DirectionSurface (short-term) Direction-/--/++/++/-0/00/-0/+-/0+/0
(- 0 +)(- 0 +)Type 8 "Leader"Type 2 "Helper"Type 6 "Loyalist"Type 3 "Motivator"Type 4 "Individualist"Type 1 "Reformer"Type 7 "Enthusiast"Type 5 "Investigator"Type 9 "Peacemaker"

See also

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In psychology, a facet is a specific and unique aspect of a broader personality trait. Both the concept and the term "facet" were introduced by Paul Costa and Robert McCrae in the first edition of the NEO-Personality Inventory (NEO-PI) Manual. Facets were originally elaborated only for the neuroticism, openness to experience, and extraversion traits; Costa and McCrae introduced facet scales for the agreeableness and conscientiousness traits in the Revised NEO-PI. Each of the Big Five personality traits in the five factor model contains six facets, each of which is measured with a separate scale. The use of facets and facet scales has since expanded beyond the NEO PI-R, with alternative facet and domain structures derived from other models of personality. Examples include the HEXACO model of personality structure, psycholexical studies, circumplex models, the Multidimensional Personality Questionnaire (MPQ), and the California Psychological Inventory.

<span class="mw-page-title-main">Iranian traditional medicine</span>

Iranian traditional medicine (ITM), also known as Persian traditional medicine, is one of the most ancient forms of traditional medicine.

The Multidimensional Personality Questionnaire (MPQ) is a personality test meant to measure normal personality developed by Auke Tellegen in 1982. It is currently sold by the University of Minnesota Press.

References

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  6. Kagan, Jerome (1998), Galen's Prophecy: Temperament In Human Nature , New York: Basic Books, ISBN   0-465-08405-2
  7. "Inherent Temperament". Greek Medicine.net. Retrieved May 8, 2013.
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  13. Compares other instruments, some using scales explicitly, others not. LaHaye, Tim (2012). "Uses of Temperament in the Workplace". Why You Act the Way You Do. Tyndale House Publishers, Inc. ISBN   9781414375755.
  14. "passive sanguine" cited in Arno Temperament Theory manual p. 165.; NCCA, 1989, 1991, 1992, 1994 but not recognized as separate "temperament" from Sanguine.
  15. Gordon, Damian; Bull, Gordon (2004). "Gordon, D., Bull, G., The Nexus Explored: A Generalised Model of Learning Styles, SITE 2004, Atlanta, Georgia, USA, March 2004". Conference Papers. doi:10.21427/010k-n515 . Retrieved 1 October 2014.
  16. Schroeder, Thomas (1 September 2023). "Brain-Quadrant Unifying Theory of Personality Types & Societal Roles". Medium.
  17. Please Understand Me, p.30
  18. Please Understand Me II, p.340, citing Haley, Jay Strategies in Psychotherapy p. 8-19
  19. listed in clockwise order
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  22. Schutz (1958) p60