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PERCEIVBD CONTROL AND PARENT-CHILD COERCTVE EXCHANGESt A DYNAMIC SYSTBMS ANAI,YSIS Christine Yvette Tardif A thesis submitted in conformity with the requirements for the degree of Master of Arts Department of Human Development and Applied Psychology Ontario Institute for Studies in Education of the University of Toronto @copyright by Christine Yvette Tardif 1997

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  • PERCEIVBD CONTROL AND PARENT-CHILD COERCTVE EXCHANGESt A DYNAMIC SYSTBMS ANAI,YSIS

    Christine Yvette Tardif

    A thesis submitted in conformity with the requirements for the degree of Master of Arts

    Department of Human Development and Applied Psychology Ontario Institute for Studies in Education of the

    University of Toronto

    @copyright by Christine Yvette Tardif 1997

  • National Library Biblioth' ue nationale du Cana 7 a

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    The author has granted a non- exclusive licence dowing the National Library of Canada to reproduce, loan, distribute or seil copies of this thesis in microform, paper or electronic formats.

    The author retains ownership of the copyright in this thesis. Neither the thesis nor substantial extracts fiom it may be printed or otherwise reproduced without the author's permission.

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  • Perceived Control and Parent-Child Coercive Exchanges:

    A Dynamic Systems Analysis

    Masters of Arts 1997

    Christine Yvette Tardif

    Human Development and Applied Psychology

    ontario Institute for Studies in Education

    University of Toronto

    To expand on paît inquires regarding parent-child coercive

    exchanges this study adopted a dynamic systems approach. Parent

    and child were regarded as a self-organizing system, and the

    emergence of communicative patterns in real time interaction was

    highlighted. Specifically, this study was designed to explore

    differences in communicative patterns among parent-child dyads

    during a stressful situation, and to explore the relation of

    these differences to both parental and child perceptions of

    control. Eight parent-preadolescent dyads were videotaped while

    discussing three topics: (1) a pleasant topic, (2) an unpleasant

    topic ( L e . , stressful situation), (3) a pleasant topic. Al1

    verbal utterances were coded for affect and content. Results are

    consistent with the expectation that the onset of a stressful

    situation reveals systematic differences in the intensity, timing,

    and stability of negative parent-child communication patterns, as

    a function of perceptions of control. The theoretical and clinical

    implications of these findings are discussed.

  • ACKNOWLEDGEMENTS

    As I contemplate the many steps taken in order to

    successfully complete this research ptoject, my thoughts steer

    invariably toward those who have offered their support and

    assistance throughout my endeavour. 1 now embrace the

    opportunity to thank these individuals. First, 1 would like to

    thank al1 the parents and children who participated in this

    study. Their contributions have made this research project

    possible, and their enthusiasm has made it an interesting and

    exciting venture. 1 would like to express my appreciation for

    the academic support offered to me by Dr. Marc Lewis's research

    group, and 1 am also thankful for the assistance that Simon

    Williams offered regarding the development of appropriate coding

    systems. Moreover, 1 would like to thank Dr. Marc Lewis for his

    insightful suggestions, guidance, and support while completing

    this research project. 1 would also like to express my gratitude

    toward Dr. Daniel Keating for extending his insightful comments

    on an earlier version of this report. Lastly and perhaps most

    importantly, 1 would like to thank my family and friends for

    offering their support, patience, and understanding. Thank you

    for believing in me, and for teaching me t h a t with a lot of

    perseverance and hard work 1 can realize my dreams and attain my

    goals.

    iii

  • TABLE OF CONTENTS

    LIST OF FIGURES ............................................... vii Chapter :

    I INTRODUCTION* ............................................. 1 parent-Child Coercive Exchanges: The Role of ........................................ Perceived Control 3 A Look at the Conceptual and Methodological Limitations Inherent in Previous Investigations .......... 6 Dynamic Systems Theory: A Brief ~ntroduction ............. 9 Perceived Control and Parent-Child Coercive Exchanges: A Dynamic Systems Analysis .................. A 2 The Present Study ....................................... 16

    ................................................... II . METHOD 19 Subjects ................................................ 19 Procedure ..............................m................ 19 Measures ................................................ 20

    Parenting Locus of Control Scale ..................... 20 Nowicki-Strickland Internal-External Control Scale for Children ................................... 21 Defining External and Interna1 Parent-Child Dyads .... 22 Frames of Conversation ............................... 24 Transcribing and Coding Videotaped Conversations ..... 25 Coding Verbal Content of Parent-Child Conversations .....................................me. 26 Coding Affect Associated with Parent-Child Conversations ........................................ 28

    Data Analysis Procedures ................................ 28 Conventional Analysis ................................... 30

    Question #l Exploring Differences in Level of Coerciveness ............... 30

    Dynamic Systems Analyses ................................ 30 Question 12 Detecting Phase Transitions ............ 30 Graphical and Visual Report ........................ 30 Exploratory Report ,. ........................ ....... 31 Questions #3. and #4 Measuring Latency ..................................... and Hysteresis 33 .................................................. . III mSULTS 34

    Conventional Analysis ................................... 34 Question #1 ......................................... *34

    Interna1 and External Parents ................... 34 Interna1 and External Children .................. 34

    Dynamic Systems Analyses ................................ 40 Question 82 .......................................... 40 Graphical and Visual Report .......................... 40

    Verbal Content .................................. 40 .......................................... Affect 44

  • Exploratory Report e . . . . . . ; e e . . e e ~ e ~ ~ e e e e e e e e e e ~ ~ ~ e e e ~ 4 8 ............ Interna1 Dyads ...................... 50 ................................. Dyads #l and #4 50

    Dyad #8--Child ..............e......e...ee*.4.. *.53 External Dyads ...................... .......... .*55 Dyads #3, 15, and #7 ............................ 55

    Exploring the Correspondence Between Changes in Affect and Phase Transitions in Verbal Content .... 60 .................................. Interna1 Dyads 60 ............ External Dyads ......ee.....~.....4. * 6 4 Question $3 .......................................... 68 Question #4 ......................................... *70

    IVm D I S C U S S I O N . e e a e e e . e e e o e e e e o e m m e . e e e . e c . e . - o e . e o o o o o m e . o e o e 7 2 Perceptions of Control and Parent-Child Coercive Communication. .......................................... 77

    Dynamic Systems Theory as an Enpirical Guide ......... 77 ........................... A Dynamic Systems Analysis 78

    Some Clinical Implications of This Study ................ 81 Some Limitations of This Study and Future Directions .... 83 Concl~sion.~. .............m............................. 85

    APPENDICES ..................................................... 96 (A) Parental Letter ............................m..e..... *.96 (B) fnfomed Consent F o m .......................m.e....... 97

    ............................ (C) Demographic Questionnaire - 9 8 .................. (D) The Parenting Locus of Control Scale 99 (E) The Nowicki-Strickland Internal-Externa1 Control

    Scale for Children ...............m................... 102 (F) 8-Item Subscale of the Nowicki-Strickland

    Internal-External Control Scale for Children ......... 107 (G) Gottman's (1979) Couples Interaction Scoring System .......................................... (C.I.S.S.) .IO8 (H) Floating Variance Graphs f o r External Dyad #2 and

    ................................... Interna1 Dyad #6 ..log (1) Floating Variance Graphs for the Internal Parent #8 .. 110

  • LIST OP TLEBLES --

    Table #:

    Distribution of Perceived Control Scores for Parent-Child Dyads Categorized as External................23

    ~istribution of Perceived Control Scores for Parent-Child Dyads Categorized as Internal................24

    Coding Scheme For Verbal Content.............. ....m....m . . 2 6 Coding Scheme for Verbal Content: Some Examples ........... 27 Coding Scheme for Affect (Nonverbal Behaviour) .........* ..29 Total Number of Verbal Utterances From the Beginning of Frame B to the Onset of Phase Transitions for Interna1 and External Dyads. .............. ......O.e. .*69 Total Number of Verbal Utterances From the Beginning of Frame C to the Second Phase Transition for Internal and External Dyads ...........m.... .............m..........71

  • LIST OB BZGüRES

    Figure #:

    1. Histogram Depicting the Average Affect Scores of Internal and External Parents Across Conversation Frames A, 8, and C........................*...............36

    2 . Histogram Depicting the Average Verbal Content Scores of Internal and External Parents Across Conversation Frames A, B, and C . . . . . . . . . . . . . . . . . . . ..... ..J7

    3. Histogram Depicting the Average Affect Scores of Internal and External Children Across Conversation Frames A, B, and C..........................-......t......38

    4. Histogram Depicting the Average Verbal Content Scores of Internal and External Children Across Conversation Frames A, B, and C . . . . . . . . . . . . . . . . . . ......... 39

    5. Time Series Graphs Depicting Verbal Content and Affect Scores for Internal Dyads #1 and #4................42

    6. Time Series Graphs Depicting Verbal Content and Affect Scores for Internal Dyads #6 and #8 . . . . . . .......... 43

    7. Time Series Graphs Depicting Verbal Content and Affect Scores for External Dyads #3 and # 5 . . . . . . . . . ....... 46

    8 . Time Series Graphs Depicting Verbal Content and Affect Scores for External Dyads #7 and #2................47

    9. Dyad #1: Floating Variance Graph and Phase Space Maps Of Verbal Content Scores.............. .....m.. .51

    10. Dyad #4: Floating Variance Graph and Phase Space Maps Of Verbal Content Scores.............. .....-.. -52

    11. Dyad #8 Child: Floating Variance Graph and Phase Space Maps Of Verbal Content Scores................ ....... 54

    12. Dyad #3: Floating Variance Graph and Phase Space Maps Of Verbal Content Scores.......................56

    13. Dyad #5: Floating Variance Graph and Phase Space Maps Of Verbal Content Scores.......................57

    14. Dyad #7: Floating Variance Graph and Phase Space Maps Of Verbal Content Scores.. ..................... 58

    15. Dyad #1: Floating Average Graphs of Affect Scores and Floating Variance Graphs of Verbal Content Scores............................................61

  • 16. Dyad $4: Floating Average Graphs of Affect Scores and Floating Variance Graphs of Verbal Content S~ores........................~...................62

    17. Dyad 1 8 Child: Floating Average Graphs of Affect Scores and Floating Variance Graphs of Verbal Content S~ores..........................................~.63

    18. Dyad #3: Floating Average Graphs of Affect Scores and Floating Variance Graphs of Verbal Content Scores....................~.~.~.~.................65

    19. Dyad #5: Floating Average Graphs of Affect Scores and Floating Variance Graphs of Verbal Content Scores.......s....................................66

    20. Dyad 17: Floating Average Graphs of Affect Scores and Floating Variance Graphs of Verbal Content Scores . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 7

    v i i i

  • CHAPTER 1

    Introduction

    During the past decade, interest concerning the phenomenon

    of child maltreatment has resulted in an abundance of inquiries

    investigating the intricate nature of, and issues related to,

    parent-child conflict (Blos, 1989 ; MacKinnon, Lamb, Belsky &

    Baum, 1990; Marini, 1993; Minuchin, 1992; Snyder, Edwards,

    McGraw, Kilgore & Holton, 1994; Steinberg, 1990). Despite recent

    focus on the negative aspects of parent-child conflict, and its

    contribution to child maltreatment, theorists contend that

    conflictual episodes among parents and their children can be

    dealt with constructively or destructively, hence leading to

    either functional or dysfunctional outcomes (Deutsch, 1973).

    Contemporary views emphasize that, when dealt with

    constructively, conflict is a normal and inevitable process often

    giving sise to positive states and outcomes. (Blos, 1989; Cooper,

    1988; Cooper, Grotevant & Condon, 1983; Marini, 1993).

    Nevertheless, it rernains critical to note that a substantial

    degree of destructive conflict continues to delineate some

    parent-child relationships (Montemayor, 1982). It has been

    estimated that one in five families is characterized by parents

    and their children engaging in prolonged, intense, and repeated

    conflict (Montemayor, 1982). Also, it has been reported that

    over 10% of children are targets of parental aggression, ranging

    from severe spankings to attacks with knives and guns (Gelles &

    Straus, 1988) .

  • 2

    Moreover, a number of reviews have indicated that prolonged

    parent-child conflict can have adverse consequences for the

    developing child (Minuchin, 1992). Such negative consequences

    may include arrested social development, low self-esteem, and

    aggressive behaviour directed at both peers and adults (Mueller &

    ilv ver man, 1989; George & Main, 1979).

    Accordingly, it remains particularly important to explore

    those circumstances in which parent-child conflict becomes

    typically dysfunctional and destructive in nature.

    Investigations have suggested that, although parent-child dyads

    may experience similar levels of conflict, these dyads may differ

    vastly and with profound consequences, regarding the strategies

    they employ when attempting to resolve conflict (Snyder et al.,

    1994). For example, Snyder et al. (1994) demonstrated that

    aggressive children and theit mothers were more likely to employ

    escalation as a means to resolve conflict, whereas non-aggressive

    children and their mothers were more likely to employ de-

    escalation as a means to resolve conflict.

    From a social learning perspective, researchers (Snyder et

    al., 1994) have concluded that the frequency and functional

    utility of escalation in terminating conflict serve to

    differentiate aggressive and non-aggressive dyads. For instance,

    when mothers gave in to their children as the child was

    escalating the level of aversiveness during a conflict, they were

    negatively reinforcing their chilàrenrs behaviour, thus making it

    more likely that their child would engage in escalation in

  • subsequent conflicts. While Snyder et ale's (1994) mode1

    illustrates how the use of escalation within a parent-child

    serves to influence coercive exchanges, it does not explore

    3

    dyad

    the

    factors predisposing individual parent-child dyads to frequently

    engage in coercive exchanges from the outset.

    parent-~hild ~oercive Exchanaes: The Role of Perceived Contra1

    In recent attempts to differentiate dyads susceptible to

    engaging in coercive exchanges, numerous inquiries have examined

    parental traits, parenting styles, as well as parental and child

    causal attributions (Dix & Grusec, 1985; Dodge, 1980; Janssens,

    1994; MacKinnon et al., 1990; Newberger & White, 1989; Patterson,

    1986). Of particular interest in the present thesis is the

    recent work exploring the role of perceived control, or locus of

    control, as a moderator of adult reactivity to child behaviour

    (Bugental, Blue & Cruzcosa, 1989) . Locus of control has been defined by Rotter (1966) as a

    generalized expectancy or belief for internal versus external

    control of reinforcement. When individuals believe events to be

    contingent on their own behaviour, they are said to hold interna1

    expectancies for control of reinforcement. Conversely, when

    individuals believe events to be the result of luck, chance,

    fa te , or I1powerful othersm (Le., physicians) they are said to

    hold external expectancies for control of reinforcement.

    The importance of perceived control over one's environment

    has been demonstrated by many researchers ( e . g . , Langer & Rodin,

    1976; Krause, 1987). Numerous investigations have demonstrated

  • 4

    that individuals with low perceptions of control (i.e., external

    locus of control) over the outcome of events are more reactive to

    hard-to-control (i. e. , stressful or Wif f icultmr) situations, and are more prone to the debilitating effects of Vearned

    helplessness~ (Dweck & Repucci, 1973; Lefcourt, Hogg, Struthers,

    & Holmes, 1975) . In light of these findings, Bugental and Shennum (1984) have

    argued that when parents believe they are victims (Le., external

    locus of control) of a difficult or stressful event (e.g., child

    misbehaviour), they are likely to develop feelings of

    helplessness. Further, in believing their efforts are futile,

    these parents may develop apathetic feelings about child-rearing

    and may come to feel threatened by child uuncontrollability.~

    Hence, in an attempt to re-establish and maintain a sense of

    control with respect to their role as a parent, these adults may

    be more likely to make use of coercive discipline tactics and may

    be less likely to use cognitive-rational appeals, such as

    providing explanations and negotiating.

    Alternately, Bugental and Shennum (1984) have argued that

    when parents hold high perceptions of control over the outcome of

    events (Le., interna1 locus of control), they will be less

    likely to experience feelings of helplessness when disciplining

    child misbehaviour. Further, they rnay feel less threatened by

    child uncontrollability, and hence feel less compelled to re-

    establish and maintain a sense of control and power with respect

    to their role as a parent. Consequently, these parents will be

  • 5

    less likely to use coercive discipline tactics and will be more

    likely to make use of cognitive-rational appeals.

    Recently, investigators have proved successful in

    demonstrating a link between parental perceptions of control and

    parental discipline strategies, For example, Loeb (1975) found

    that "externalW parents used highly controlling strategies when

    teaching their children, in contrast with Vnternaln parents who

    made use of less controlling and more persuasive styles. Also,

    abusive mothers have been found more likely than non-abusive

    mothers to believe they can do little to prevent negative

    caregiving outcomes (Bugental et al., 1989). Furthemore,

    external parents, as opposed to interna1 parents, were found to

    be more authoritarian when controlling their child, especially

    when they perceived their child as an internaliser (Le.,

    withdrawing from problems) or an externaliser ( e , acting out

    to resolve problems, e.g., aggressiveness) (Janssens, 1994).

    To demonstrate the importance of adult perceptions of

    control as a moderator of the effects that child behaviour has on

    adults, researchers have experimentally varied child

    llresponsivenessf~ and ~unresponsivenessl~ (Bugental, Caporael, &

    Shennum, 1980; Bugental & Shennum, 1984; Bugental & Cortez,

    1988). It was demonstrated that adults with low perceived

    control over caregiving outcomes respond with greater negative

    affect, greater elevated arousal, and higher levels of

    helplessness to difficult or unresponsive children, than do

    adults with high perceived control. Adults with high perceived

  • control over caregiving outcomes have been found to display

    little differential reactivity to responsive, versus

    unreçponsive, children (Bugental & Cortez, 1988).

    In yet another investigation, mothers of seriously il1

    infants have been found to cope in a less adaptive manner if they

    believed their childrs condition was outside of their control and

    was under the control of other individuals in the environment

    ( e . g . , physicians, nurses, etc.) (Affleck, Allen, McGrade, &

    McQuenney, 1982). Thus it appears that low perceptions of

    control act in a sensitizing role, whereas high perceptions of

    control act in a buffering role.

    A Look a t the Conceptual and Methodoloaical Limitations

    Inherent i n Previous fnvesticrations

    The preceding findings suggest that parental perceptions of

    control over the outcome of stressful or difficult events (Le.,

    negative caregiving outcomes) play a critical role in influencing

    the quality of parental discipline strategies. While these

    findings are both revealing and meaningful, it is noteworthy that

    the methodology employed in previous studies has been limited in

    a number of important respects.

    For the most part, past researchers have failed to

    acknowledge that parent-child coercive exchanges arise as a

    result of, and should be examined as, a dyadic process. For

    instance, these researchers ( e . g . , Affleck et al., 1982; Bugental

    et al., 1989; Janssens, 1994; Loeb, 1975) have often implicity,

    if not explicitly, assumed a direct linear causal relationship

  • 7

    between parental perceptions of contxol and parental discipline

    strategies. By not considering parent-child coercive exchanges

    as a dyadic event, this relationship has traditionally been

    measured in isolation with little regard to the possibility that

    children's perceptions of control may act in a dynamic,

    reciprocal fashion to shape parent-child coercive exchanges

    (Affleck et al., 1982; Bugental et al., 1989; Janssens, 1994;

    Loeb, 1975).

    Additionally, previous inquiries have often relied on

    correlational methods, thus allowing for an investigation of

    parent-child coercive exchanges following their formation in real

    time (Le., outcome). However, little consideration has been

    accorded to the unfolding of parent-child coercive exchanges, or

    to the processes by which these exchanges emerge and stabilize in

    real time (Le., immediate moment to moment interactions).

    Moreover, past inquiries have typically accorded

    insufficient importance to the context in which parent-child

    exchanges are embedded in real time (e.g., stressful or calm

    event). When context has been considered, it has once again for

    the most part been correlated retrospectively with reports of

    parental discipline sttategies, with little consideration granted

    to the question of how contextual influences serve to alter the

    quality of parent-child exchanges in real time (Janssens, 1994;

    Loeb, 1975).

    Implicit within previous studies is the opinion that

    retrospective correlational approaches are a useful means of

  • 8

    addressing the study of individual differences in parent-child

    exchanges. However, by ignoring the role of contextual

    influences in real tirne, previous inquiries often overlook

    individual differences in the quality of exchanges among

    particular parent-child dyads. For instance, even parents who

    hold low versus high perceptions of control do not engage in

    coercive exchanges with their children at al1 times and in al1

    contexts; rather, they do so within particular contexts.

    While it has been a common approach for investigators to

    either control for context, or to Ifround off1' the enormous

    variability in parent-child exchanges, the behaviour of most

    parent-child dyads is nevertheless highly variable and context

    specific. Hence, it should be a primary goal of investigators to

    begin identifying those contextual factors leaving parent-child

    dyads susceptible to engaging in coercive exchanges at a given

    moment in time.

    As a consequence of these conceptual and methodological

    limitations, I feel that several meaningful questions remain

    unanswered. For instance, how does the on-line experience of a

    stressful or difficult event combine with perceptions of control

    ( i . , parental and child) to promote coercive exchanges among

    parents and their children in real tirne? Moreover, once coercive

    exchanges are initiated, do perceptions of control influence the

    stability or strength of these exchanges?

    To address these questions and to improve on past conceptual

    and methodological shortcomings, an alternative approach is

  • 9

    needed, which has as its goal the specification of the processes

    by which parent-child coercive exchanges emerge and stabilize in

    real time. More specifically, what is needed is a theoretical

    approach that recognizes the dyadic nature of parent-child

    exchanges, explicitly acknowledges the importance of reciprocal

    qualities in dyadic processes, and is sensitive to the importance

    of contextual influences on the quality of parent-child

    exchanges. Here, 1 introduce a recent and alternative

    theoretical approach, known as dynamic systems theory, which may

    be better suited to addressing the aforementioned theoretical

    requirements.

    Dvnamic Svstems the or^: A Brief Introduction

    Recently, many psychological theorists are recognizing and

    embracing principles of dynamic systems theory as a resourceful

    means of conceptualizing the appearance of novel structures or

    behaviours in complex systems (see Barton, 1994; Cooney & Troyer,

    1994; Fogel, 1990; Ford & Lerner, 1992; Howe & Rabinowitz, 1994;

    Lewis, 1995, 1996; Thelen, 1989, 1990; Thelen & Ulrich, 1991).

    Inherently, complex systems are multicausal, nonlinear,

    nonstationary, and are often found to be in a state of

    thermodynamic nonequilibrium. It is noteworthy that complex

    systems may extract energy, or information, from sources within

    or outside the system. Thus, for example, neither genes or

    environment hold priority in effecting change (Thelen, 1989).

    Complex systems are comprised of many components or subsystems

    free to interact with each other in many ways (Thelen, 1989;

  • 10

    Thelen, 1990). Complex systems are thus said to have many

    "degrees of freedom" (Thelen, 1989).

    Nevertheless, complex systems are often self-organizing.

    That is without prior prescription and undet certain contextual

    or task-specific constraints, the many components of a complex

    system spontaneously interact, producing order and patterned

    behaviour, thus reducing the system's original degrees of freedom

    (Thelen, 1989; Thelen & Ulrich, 1991) . Lewis (1995) has outlined two main premises concerning self-organizing systems. First,

    novel fonns emerging through the processes of self-organization

    are qualitatively different from the lower order components

    interacting within the system. Second, self-organizing systems

    tend to move toward coherence and stability.

    Stability in a self-organizing system emerges over time.

    Self-organization relies on feedback between coupled elements

    within a system, and stability in a self-organizing system is the

    result of the ongoing reciprocal adjustment, or covariation,

    among these related components (Lewis, 1995; 1996). Under

    certain contextual or task-specific constraints, the self-

    organized behaviour of a complex system tends to prefer certain

    attractor states in the state space ( e , a topographical mode1

    (landscape) of al1 the possible states a system can gravitate

    toward). (Lewis & Douglas, in press; Thelen, 1990). That is,

    without prior prescription, or llblueprint,lt a system's components

    will autonomously gravitate toward attractor states, and will

    return to these attractors following perturbation. Here, the

  • 11

    system is said to be in a steady state of dynamic equilibrium, or

    dynamic stability (Thelen, 1990).

    Although systems acquire dynamic stability, they remain

    sensitive to their environments, and are continually subject to

    disruptions or perturbations of their attractor states (Ford &

    Lerner, 1992). When a change in one or more of the systemfs

    parameters, or components, crosses a critical threshold, the

    system may undergo a phase transition. A phase transition is

    characterized by the spontaneous and abrupt reorganization of the

    systemfs components, causing the destabilization of one or more

    attractors, and the emergence of one or more new attractors

    (Kelso, Ding & Schoner, 1993; Thelen, 1989). Those components

    that drive a system across a critical threshold from one

    attractor to another are known, in dynamic terminology, as

    control parameters.

    It is important to note that, when in a state of dynamic

    stability, or an attractor state, perturbations to the system

    produce few variations from the stable state. However, during

    points of instability, perturbations are extremely influential in

    initiating a phase transition (Kelso et al., 1993; Thelen, 1989).

    Moreover, when a control parameter crosses a critical threshold

    and the system is driven from one attractor to another, it is

    possible to measure the stability of this new attractor by

    rneasuring the time it takes the system to return to the previous

    attractor once the control parameter returns below the critical

    threshold. When the system requires a substantial amount of time

  • 12

    to return to its previous attractor, a hysteresis effect is s a i d

    to have occurred (Kelso et al., 1993). This means that the new

    attractor is particularly stable.

    Developmental dynamic systems theorists conceptualize human

    development as the stabilization and destabilization of

    attractors over time (Lewis & Douglas, in press; Thelen & Ulrich,

    1991). They diçtinguish two time scales in which self-organized

    behaviour can occur. Developmental self-organization occurs with

    the emergence and change in attractors over months or years,

    whereas the convergence of behaviour to attractors over seconds

    or minutes constitutes self-organization in real time (Thelen &

    Ulrich, 1991) . Perceived Control and Parent-Child Coercive Exchanaes:

    A Dvnamic Svstems Analvsis

    Recall that, for the most part, past investigators have

    failed to recognize the reciprocal and dyadic nature of parent-

    child exchanges, and have emphasized disproportionately the

    outcorne, rather than the processes, characterizing these

    exchanges. However, more recent theorists have emphasized the

    importance of recognizing and exploring the reciprocal nature of

    dyadic processes (Fogel, 1990, 1992, 1993; Fogel & Hannan, 1985;

    Ford & Lerner, 1992; Reimers t Fogel, in press). More

    specifically, parents and their children are regarded as a CO-

    acting dyad, or a dynamic and self-organizing system, whereby

    differences among dyadic relationships are created in the process

    of interaction (Fogel, 1990, 1993). Hence, during interaction,

  • 13

    both parent and child characteristics, as well as contextual

    factors, act in a dynamic fashion to mutually constrain one

    another's behaviour (Fogel, 1993).

    Applying dynamic systems principles to his own work, Fogel

    (1993) has described al1 dyadic interactions as a process of

    continuous and mutual adaptation, that is, as a process of co-

    regula t ion . He defines co-regulation as a %ocial process by

    which individuals dynamically alter their actions with respect to

    the ongoing and anticipated actions of their partnersw (Fogel,

    1993, p. 34). Also, during interaction an individual's behaviour

    is emergent from the constraints imposed by their own body, by

    their expectations, as well as by the actions of the partner.

    Through CO-regulated interaction, consensual social patterns are

    created and elaborated over the, and these CO-regulated patterns

    can be recognized by their repetition and coherence over t h e

    (e. g. , social games) (Fogel, 1993) . Moreover, in describing dyadic communication Fogel (1993)

    has introduced the concept of consensual frames. A frame is a

    CO-regulated consensual agreement (Le., attractor) about the

    main topic of discourse, about the limits of what is to be

    communicated between a dyad, and about when and how interactions

    take place and for how long. Note that frames must exist before

    partners can actually engage in facused communication, and like

    the ensuing discourse, frames are consensual and CO-regulated.

    Fogel distinguishes two types of consensual frames: (1)

    stable consensual frames for creativity and innovation, and (2)

  • 24

    stable consensual frames for rigidity and dissolution. First,

    soma stable consensual frames in relationships are characterized

    by inventiveness and creativity. For instance, dyadic

    communication is characterized by themes, and each tirne a theme

    is mutually engaged in something new emerges. Here, both

    partners are rnotivated by the potential for creativity in their

    relationship about a particular theme. Second, some stable

    consensual frames are marked by rigidity, and by a motivation to

    avoid creativity around particular themes (e.g., ritualized

    greetings). Rigid consensual frames rnay persist for long periods

    of time ( e . g . , a child may insist on introducing a topic that the

    parent wishes to avoid), and may become destructive (e.g.,

    continually denying a partner emotional support for an

    information theme that relates to adaptive functioning) (Fogel,

    1993).

    In line with both Fogelrs (1993) theorizing and principles

    of dynamic systems, we can imagine a landscape (Le., state

    space) delineating the many potential frames or patterns of

    communication (Le., attractor states), that a particular parent-

    child dyad may tend toward at a given point in the. For

    instance, when faced with a stressful situation, there are a

    number of potential approaches (Le., many degrees of freedom)

    for a dyad to resolve the inunediate situation. However, as their

    behaviour self-organizes, it will tend toward certain patterns of

    communication, or attractor states, over others, thus reducing

    the systemfs many degrees of freedom.

  • The question remains why the communication of particular

    parent-child dyads ( e . , dyads with external or low perceptions

    of control) tends to prefer, or converge toward, coercive

    attractor patterns in real tirne? What factors are responsible

    for driving the system from an attractor pattern characterized by

    open and positive communication (i.e., creative frame) toward

    another characterized by coercive communication (i.e., rigid

    frame)? Moreover, once coercive communication patterns are

    established, why do these become stable and rigid patterns for

    some parent-child dyads, and not others?

    By reconceptualizing parent-child interactions as dynamic,

    self-organizing, and CO-regulated, we can begin by graphically

    mapping the many communication patterns in the state space for a

    particular dyad. Further, those patterns that are particularly

    stable for a dyad can be identified as attractor states, that is

    communication patterns toward which the dyad tends to converge.

    Next, identifying attractor patterns for a dyad allows for the

    detection of phase shifts in dyadic communication (e.g., a shift

    from positive to coercive communication patterns). Moreover,

    once a phase shift has been detected we can begin to identify and

    possibly manipulate the control pararneter(s) (e.g., individual or

    contextual) responsible for inducing this transition (Thelen &

    Ulrich, 1991) , Lastly, once particular attractor patterns (such

    as coercive frames) are established, the dynamic systems concept

    of hyçteresis facilitates the investigation of the stability and

    resiliency of these patterns. It is noteworthy that, in contrast

  • - 16

    with past correlational and retrospective approaches, a dynamic

    systems analysis is properly suited to the consideration of the

    dynamic and reciprocal nature of parent-child interactions.

    Also, a dynarnic systems approach can permit us to directly

    outline the factors ( e . g . , perceptions of control) responsible

    for inducing and maintaining coercive communication among parents

    and their children in real tirne.

    The Present Studv

    Drawing upon the aforementioned principles of dynamic

    systems, it was the purpose of the present study to expand

    further on previous inquiries regarding the relationship between

    perceptions of control and parent-child coercive communication.

    Due to a marked increase in parent-child conflict as the child

    reaches the pubertal stage (Montemayor, 1983), the present study

    focused on relations among parents and preadolescent children.

    Four exploratory research questions were proposed. Note that the

    first research question is of the conventional sort, whereas the

    second, third, and fourth research questions are premised

    specifically on principles of dynamic systems.

    First, 1 explored differences in the overall level of

    coercive communication among dyads identified with external (low)

    versus internal (high) perceptions of control (over the outcome

    of family events). In line with past inquiries (Bugental et al.,

    1980; Bugental & Shennum, 1984; Janssens, 1994; Loeb, 1975), 1

    expected that parents and children identified with external

    versus internal perceptions of control might evidence higher

  • 17

    levels of coercive communication,

    Second, 1 explored one likely context in which parent-child

    dyads might engage in coercive communication patterns in real

    the. Specifically, I investigated whether experimentally

    manipulating ( e . , increasing) the level of perceived stress by

    parent-child dyads might act as a control parameter inducing a

    phase transition, leading to a pattern of communication

    characterized by coercive exchanges. Also, the synchrony of

    communication patterns within parent-child dyads was observed,

    prior to and following the experimental manipulation.

    Third, it was expected that most parent-child dyads could

    encounter a level of stress that would induce a phase transition

    toward coercive communication. Consequently, 1 explored

    differences in the timing (Le., latency) of this phase

    transition between internal and external dyads. Recall from

    earlier findings that external parents were found to react

    sensitively to stressfui situations (Bugental et al., 1980;

    Bugental & Shennum, 1984; Bugental & Cortez, 1988), Therefore, 1

    expected that, for external dyads, lower levels of perceived

    stress might be needed to induce a phase transition, and hence,

    less tirne might elapse before this transition occurred.

    Fourth, once the behaviour of a parent-child dyad converged

    toward a pattern that was characterized by coercive

    communication, 1 explored differences between internal and

    external dyads regarding the stability of this communicative

    pattern. Because external parents have been found to react

  • 18

    sensitively to stressful events, I expected that communication

    with their child has had more occasion to become negative and

    coercive. That is, for these dyads, the recurrence of coercive

    communication might result in this type of communication becoming

    a stable pattern. Consequently, when levels of stress return to

    a lfmanageable" level (i. e., below the critical threshold) , it might take longer for their communication to return to its

    original pattern (Le., baseline). Simply put, coercive

    communication in these dyads might be a more stable pattern of

    communication, and thus evidence of a hysteresis effect might be

    apparent.

  • CHAPTEII II

    Methoil

    Subi - ects

    Participants included eight parent-preadolescent dyads. The

    mean age for children was 10 years 8 months (SD=0.998), ranging

    from 9 years 5 months to 12 years 11 months (six girls and two

    boys). The mean age for parents was 37.25 years (SD=3.92),

    ranging from age 33 to 44 years (seven mothers and one father).

    Of these parents, five indicated they were rnarried and three

    indicated they were divorced. Reports of occupational status

    included: three homemakers, one taxi driver, one transit driver,

    one data entry clerk, and two business owners. Education ranged

    from some high school to a completed university degree at the

    Master's level. The sample consisted of six mother/daughter

    dyads, one mother/son dyad, and one father/son dyad. There were

    no father/daughter dyads included in this study.

    Al1 dyads were recruited from the community through I1word of

    mouth". Participants were provided with a letter describing the

    nature of the study (see Appendix A), and asked to indicate

    voluntary participation by signing an informed consent form (see

    Appendix B). Participants were informed that al1 information

    would be kept strictly confidential, and they were compensated

    $20 for their participation.

    Procedure

    Al1 dyads were seen in their homes. Complete participation

    was conducted in two sessions, and lasted approximately 40

  • 2 0

    minutes. The first session involved the completion of standard

    questionnaires. The second session was conducted

    observationally, and involved the videotaping of parent-child

    conversations. In the firçt session, both parents and their

    children were asked to complete paper-and-pencil questionnaires.

    Parents were asked to complete a basic demographic questionnaire

    (see Appendix C), followed by the Parenting Locus of Control

    Scale (Campis, Lyman & Prentice-Dunn, 1986). Children were asked

    to complete the Nowicki-Strickland Internal-External Control

    Scale for children (Nowicki & Strickland, 1973). Dyads were

    asked to complete their respective questionnaires independently.

    This ensured the privacy of their responses, particularly the

    responses of the children. Completion of these questionnaires

    required approximately 15 minutes. In the second session,

    parent-child dyads were videotaped while they collaboratively

    discussed and tried to resolve three separate issues.

    Altogether, videotaped conversations lasted 18 minutes, with

    discussion for each individual issue lasting 6 minutes.

    Measures

    Parentina Locus of Control Scale

    Parents' beliefs or perceptions regarding interna1 versus

    external control were assessed using the Parenting Locus of

    Control Scale (Campis et al., 1986). The Parenting Locus of

    Control Scale assesspn parental perceptions of control concerning

    child rearing outcomes. This scale consists of 47 items (for

    example, When my child is well-behaved, it is because helshe is

  • 21

    responding to my efforts") ta which participants indicate their

    beliefs on a five-point Likert-type scale ranging from strongly

    disagree (1) to strongly agree (5). Also, this scale consists of

    five factors or subcategories. These include: Parental Efficacy,

    Parental Responsibility, Child Control of Parents' Life, Parental

    Belief in Fate/Chance, and Parental Control of Childts Behaviour

    (see Appendix D). Scores on this scale range from -73 to +115,

    with negative scores reflecting increasing perceptions of

    internal control and positive scores reflecting increasing

    perceptions of external control.

    Nowicki-Strickland Xnternal-External Control Scale for Children

    Childrens* beliefs or perceptions regarding internal versus

    external control were assessed using the Nowicki-Strickland

    Internal-External Control Scale for Children (Nowicki &

    Strickland, 1973). This scale consists of forty items (for

    example, "Are some kids just born lucky?I1) to which participants

    indicate their beliefs with a yes or no answer (see Appendix E).

    Scores on this scale range from O to 40 with lower scores

    reflecting increasing perceptions of internal control and higher

    scores reflecting increasing perceptions of external control.

    Note that a standardized measure to assess childrents

    perceptions of control, pertaining specifically to the outcomes

    of events with parents, does not exist. However, the Nowicki-

    Strickland Internai-External Control Scale for Children is

    comprised of 8 items addressing children's perceptions of control

    regarding the outcomes of events with their parents. Hence, in

  • 22

    this study, these 8 items were extracted to fashion a subscale.

    When the word llparentsm appeared in these questions, it was

    changed to %omw or "dadlI depending upon whether the child was

    participating with their mother or father (see Appendix F).

    Definina External and Interna1 Parent-Child Dvads

    To select dyads in which both parental and child perceptions

    of control were the same ( e , both high internal or both high

    external), a larger sample of 21 dyads was tested. An

    examination of parents scores on the Parenting Locus of Control

    Scale revealed few scores falling within the regions of above +15

    and below -15. Therefore, these values were used to mark the

    boundaries for defining external and internal groups,

    respectively. Parents were categorized as external when their

    overall score on the Parenting Locus of Control Scale exceeded

    +15, whereas parents were categorized as internal when their

    overall score exceeded -15.

    For children, two separate measures were employed to

    distinguish external versus internal groups. First, an

    examination of children scores on the Nowicki-Strickland

    fnternal-External Control Scale for Children revealed few scores

    falling within the regions of above +18 and below -13. Thus,

    these values were used to mark the boundaries for defining

    external and internal groups, respectively. Moreover, responses

    on the 8 items i e , extracted subscale) relating to chilàrenOs

    beliefs regarding the outcome of events with their parents were

    considered. Children were categorized as external when their

  • 23

    overall score exceeded +18, and when a minimum of five external

    responses on the 8-item subscale were indicated. Conversely,

    children were categorized as internal when their overall score

    was lower than +13, and when a minimum of five internal responses

    on the 8-item subscale were indicated.

    To be classified as an internal or external dyad, both

    parents and children needed to be identified as meeting the

    previously mentioned demarcations for their respective groups.

    Consequently, of the larger sample of 21 dyads, only 8 dyads were

    identified as external or internal. Of these eight dyads, four

    were categorized as external and four were categorized as

    internal. See Table 1 and Table 2 for a distribution of the

    scores in each group.

    Table 1

    Distribution of Perceived Control Scores for Parent-Child Dvads

    ~ateaorized as External

    Dyad #3 1 +24 I le

    Dyad #

    Dyad #5

    Dyad 52 I l8

    Childrensf scores on 8- item subscale

    Parental scores

    +16 6/8 external responses

    Childrensf scores (overall)

    19

    5/8 external responses

    5/8 external responses

    5/8 external resmonses

  • Brames of Conversation

    Parent-child dyads engaged in three separate

    conversations, each lasting 6 minutes. Al1 three Vramesll of

    conversation shared the same dialogical format, that is

    collaborative discussion and resolution. Dyads were first

    instructed to choose collaboratively two topics they considered

    pleasant, and one topic they considered unpleasant (Le.,

    stressful task and experimental manipulation). Parents and their

    children were instructed to choose their own conversation topics

    so as to ensure that topics were meaningful and relevant to them.

    Table 2

    Distribution of Perceived Control Scores for Parent-Child Dyads Cateaoriaed as Interna1

    Dyad #8 1 -18 1

    l

    Dyad #

    Dyad fi

    Dyad #6 1 -22 1 l2 Dyad #4 1 -35 I l2

    Parental scores

    -4 9

    Childrenst scores on 8- item subscale

    Childrensf scores (overall)

    12 6/8 internal responses - --

    7/8 internal responses

    7/8 internal responses

    6/8 internal responses

    - --

    Examples of pleasant topics included: deciding what to do for a

    birthday, deciding where to go on a vacation, and deciding what

    kind of new house to buy. Examples of unpleasant topics

    included: division of chores, deciding an appropriate bedtime,

    and deciding an appropriate age to Wear makeup and high heel

    shoes. Once a topic was selected, al1 dyads were assured that it

  • 25

    was fine if they were unable to resolve these topics within six

    minutes, and rather that it was the process whereby they

    attempted to resolve them that was of interest. The videotaped

    conversations of parent-child dyads always took place in the

    evening, and in the same location: the kitchen table.

    The order of the conversations was as follows: (A), (B), and

    ( C ) . Conversation frame A was designed to procure a base rate

    regarding the style of communication characterizing each dyad,

    and hence dyads discussed and tried to resolve a pleasant topic.

    Conversation frame B was designed to experimentally manipulate

    the control parameter (i.e., increase the level of perceived

    stress) after a baseline pattern was observed, and to capture the

    shift ( i . e . , latency) in communication that dyads might exhibit.

    Therefore, dyads discussed and tried to resolve an unpleasant

    topic (i.e., stressful task). Conversation frame C was designed

    to allow the level of stress perceived by the dyad to decrease,

    and to test for the occurrence of a hysteresis effect. Hence,

    dyads once again discussed and tried to resolve a pleasant topic.

    Note that, elapsed time between conversations frames A, B, and C

    was kept to a minimum, and generally included only the time taken

    to stop the video camera and to prepared it again for the next

    frame of conversation.

    Transcribinq and Codina Videotamed Conversations

    Al1 conversations were transcribed verbatim. Time (or

    event) sampling was not conducted; rather, for both parent and

    child, each verbal utterance served as a unit of analysis which

  • 26

    captured the sequential flow of parent-child conversations. For

    both parent and child, each verbal utterance was coded on two

    dimensions: verbal content and affect.

    Codina Verbal Content of Parent-Child Conversations

    Soth parent and preadolescent verbal utterances were coded

    for content. The coding scheme used for scoring the content of

    each verbal utterance was an adapted version of Gottman8s (1979)

    Couples Interaction Scoring Systern-(see Appendix G). The coding

    scheme employed in this study consisted of ten codes ranging from

    the most tacilitative (1) to the rnost aversive (10) (see Table

    3). Each verbal utterance was assigned one code. When an

    extended verbal utterance consisted of two separate thought units

    (this occurred relatively infrequently), each thought unit was

    coded separately.

    Table 3

    Codincr Scheme For Verbal Content

    Facilitative behaviours

    Approving, or supportive comment Direct agreement/Compliance Problem Solving/Offering or eliciting an opinion or suggestion Assent/Affirmative

    Neutra1 behaviours

    Exchange of information--Question/Clarification Summarizing self or other/lindreading

    Aversive behaviours

    Disagreement with rationale supplied "Yes buttt agreement Direct disagreement/Noncomp1iance Command/criticize/complain/accusa/or obstinate-antagonistic

  • Al1 verbal utterances were coded by the author. A second

    individual, blind to the categorization of dyads as interna1

    versus external, independently coded 20% of the total responses

    and agreement between coders was 81%. See Table 4 for examples

    of al1 ten codes constituting the coding scheme used in this

    study . Table 4

    Codinu Scheme for Verbal Content: 8ome Exam~les

    Approving or supportive

    II Direct agreement/ Cornpliance Problem solving/Offering or eliciting an opinion

    II Exchange of information/ Question/Clarification II

    - - - - - - - - -

    Summarizing self or other/ Mindreadina

    Disagreement with rationale supplied

    "Yes buttt agreement. . .

    II Direct disagreement/ Noncornpliance Command/Criticize/Accuse/ Complain/or obstinate antagonistic

    IuYeah, 1 am impressed with how well youfre taking care of your f ish, good jobuu!

    ItYeah , you ' re righttu . %O ok that sounds like it's settled, October starts you so to bed at 9 t 0 0 rishtuf?

    What s the Rideau Riveruu?

    "Oh 1 see now you said a sleepover would be goodm.

    InNo 1 donr t think so, 1 doubt any of your friends will be allowed to go unsu~ervised~~ . ItYeah but it doesn8t really feel like you want me to QO" . "No way corne onit.

    V f l l just go buy a gun now and go shoot some peoplew. ItWell 1 think that youfre being a bit selfishN.

  • Codincr Affect Associated with Parent-Child Conversations

    To code the "affective climatew of each verbal utterance, a

    second scale from Gottman's (1979) Couples Interaction Scoring

    System was employed (see Table 5). For both parent and child, a

    code was assigned for the affective climate of each verbal

    utterance. Affect codes were given ratings of +, O, or - (positive, neutral, or negative) . To determine this rating, three separate cues could be used: facial cues, voice tone cues,

    body cues. Using both the transcript and the videotape, the

    coder first considers each of the positive and negative facial

    cues. If an affective code of positive or negative is unable to

    be made, the coder then considers each of the positive and

    negative voice tone cues. If an affective code of positive or

    negative still cannot be made, the coder then considers each of

    the positive and negative body cues. At this point, if the

    verbal utterance still cannot be coded as positive or negative,

    the coder is to assign a neutral code to the verbal utterance.

    The affective climate of al1 verbal utterances were coded by the

    author. Once again, a second individual, blind to the

    categorization of dyads as interna1 versus external,

    independently coded 20% of the total responses for affective

    climate, and agreement between coders was 84%.

    Data Analvsis Procedures

    Due to the exploratory nature of this study, and to the

    small sample size, statistical analyses were not conducted.

    Rather, to address the research questions in this study,

  • Conventional Analvsis

    Question #X Expiering Differences in Level of Coerciveness

    To explore my first research question histograms were

    employed. For each frame of conversation (A, B, and C), averages

    were computed for the verbal content and affect scores of both

    internal and external groups, and this analysis was completed

    separately for parents and children. Histograms allowed for a

    descriptive analysis of difierences in parents' and childrens'

    affect and verbal content scores, as a function of internal

    versus external perceptions of control.

    Dvnamic Systems Analyses

    Question #2 petacting Phase Transitions

    Graphical and Visual Report

    To obtain a preliminary look at the communication patterns

    of both internal and external dyads, time series graphs were used

    (see Thelen, 1991; Van Geert, 1994). On these time series graphs

    both verbal content and affect scores were plotted as they

    unfolded in real tirne, that is, for each verbal utterance (1

    to...) across a l 1 three frames of conversation. First, these

    graphs facilitated the visual detection of synchrony within the

    communication patterns of parent-child dyads. Second, these

    graphs permitted the visual detection of periodicity, and

    fluctuations in variance, within the data. It was then possible

    to visually inspect the data for evidence of a phase transition

    in the communicative patterns of parents and their children.

  • 31

    Exploratory Report

    Upon cursory inspection of the data, it became apparent that

    although there were notable changes in the level and variance of

    verbal content scores, there was very little fluctuation in the

    variance of affect scores. Thus, it was decided that verbal

    content scores would be used to demarcate the onset of phase

    transitions in communication. As a secondary evaluation, the

    correspondence between the occurrence-of phase transitions in

    verbal content, and changes in affect, were observed.

    A floating variance graph was created for al1 verbal content

    scores across conversation frames A, B, and C. This facilitated

    the visual detection of large fluctuations, or inflection points,

    in the variance. The occurrence of large inflection points was

    considered to signal the onset of an abrupt reorganization, or

    phase transition, in a pattern of communication within the state

    space. Floating variance graphs were created using two separate

    lîwindowsll: a window of 20 verbal utterances (e.g., 1 to 20, 2 to

    21, ...), and a window of 10 verbal utterances (e.g., 1 to 10, 2

    to 11, ...). First, windows of 20 were used to detect robust

    transitions in variance because they were less sensitive to minor

    fluctuations than windows of 10. Second, because windows of 10

    were more sensitive to changes in the variance they were used to

    determine the precise timing of transitions.

    An inflection point was considered to signal a phase

    transition only if the change in variance lasted a minimum of 20

    verbal utterances (half the duration of frarne B on average,

  • 32

    across al1 individuals). In al1 cases inflection points were

    delineated as ranging across a number of verbal utterances (e.g.,

    52 to 56); that is, the sudden change in the variance of verbal

    content scores lasted a minimum of a few utterances. Therefore,

    phase transitions were denoted as occurring at the middle point

    of this change (e.g., verbal utterance # 5 4 ) .

    Once phase transitions were identitied, a phase space map

    (see Van Geert, 1994) for verbal content scores was created for

    intervals immediately preceding and following the transition.

    Using phase space maps, it was possible to observe the patterns

    characterizing verbal content scores, and to monitor structural

    differences in these patterns (e.g., variance, and stability).

    Because there was no periodicity in the data, these maps were

    created using a lag of 1 ( [ (x, y) = (VC,, , VC,) , (VC,, VC,) , (VG, V C ) , ) Windows of 20 verbal utterances were used to create

    phase space maps. Note that the interval, or number of

    utterances, delineating inflection points was excluded in the

    creation of phase space maps. This ensured the precise and

    smooth depiction of cornmunication patterns prior to, and

    following, the occurrence of phase transitions.

    Recall that there was very little fluctuation in the

    variance of affect scores. Therefore, changes in the average of

    affect scores were examined. A floating average graph was

    created for al1 affect scores across conversation frames. A

    window of 10 verbal utterances was used to create these graphs.

    Floating average graphs facilitated the visual detection of

  • 33

    global changes in the level of affect scores, It was then

    possible to observe the correspondence between these changes and

    the occurrence of phase transitions in verbal content.

    Questions #3, and #4 Measuring Latency and Hysteresis

    To rneasure the latency of phase transitions (leading to

    coercive communication), the total number of verbal utterances

    from the beginning of frame B ( e t stressful task) to the onset

    of phase transitions were counted: - Similarly, to measure

    hysteresis associated with coercive communication patterns, the

    total number of verbal utterances from the beginning of frame C

    ( . e , pleasant discussion) to the next phase transition were

    counted (when communication returned to baseline patterns). It

    was then possible to make cornparisons between interna1 and

    external dyads regarding the latency of phase transitions, and

    the degree of hysteresis associated with coercive communication

    patterns.

  • revealed. Moreover, only inconsequential differences in the

    verbal content scores of internal and external children were

    revealed (see Figure 4) . For the child group, these results are inconsistent with my expectation.

    It is noteworthy that for both parents and children

    (internal and external) affect changed from positive (frame A) to

    negative during frame B, and subsequently returned back to

    positive during frame C. Moreover, for both parents and children

    (internal and external), higher levels of negative verbal content

    scores occurred during frame B. These results offer support for

    the effectiveness of the experimental manipulation employed in

    this study ( i . e . , the stressful conversation task in frame B) .

  • Figure 1,

    Eistoaram Depictina the Averacre Affect Scores of Internal and

    External Parents Acrosa Conversation Frames A, B, and C

    Frame C

    Frame A

    Frame B

  • F i g u r e 2

    H i a t o c r r a m D e p i c t i n c r the A v e r a c r e V e r b a l C o n t e n t Scores of Interna1

    and External Parents Across C o n v e r s a t i o n Frames A, B, and C

    Frame A Frame B Frame C

  • Figure 3

    Histoqram D e m i c t i n c r the Averaae A f f e c t Scores of Interna1 and

    Extemal Children Across Conversation Frames A, B, and C

    .O5

    .O4

    .O4

    . O3

    .O31

    . O21 ,021

    . Ol!

    .01i

    . OO! O

    - . O O ! - . Ol( -. O P - . OS( - ,025 - .03(

    -.03!

    -. 04( - .O45 -. OSC

    Frame C Frame A

    Frame B

    Internal

    Externa1

  • Figure 4

    Hiatoqram Depictincr the Averacre Verbal Content Scores of Internal

    and External Children Across Conversation Frames A, B, and C

    Frame A

    111111111 III Frame B Frame C

  • 9 t U al n b

    t-i ci

    H S U

    4 JJ s Pi W

    tn dl k O U tn U d al U E: O U

  • 41

    child fluctuated mostly between neutral and negative across a l 1

    three frames (see Figure 6) . For this dyad, a simple visual inspection of t h e time series graphs was insufficient to detect

    the occurrence of a phase transition.

  • Figure 5

    Time Ser ies Graphs Depicting Verbal Content and Affect Scores - f o r Interna1 D~ads #1 and # 4

    Time Series Parent (1)-lnt

    - -

    Seriesl

    Series2 - - - - - - - - - - - I=

    # of Utterances

    Time Series Child (1)-tnt

    # of Utterances

    Time Series Parent (4)-lnt

    Y of Utterances

    Time Series Child (4)-lnt

    Seriesl

    # of Utterances

    Note. Series 2 represents verbal content scores. Verbal content ranges from 1 t o 10, with higher scores ref lec t ing higher Ievels of coerciveness. Ser ies 1 represents a f fec t scores. Affect ranges from -1 t o +1, with lower scores re f l ec t ing more negative a f fec t . A red l i ne is inserted t o separate frames A, 0, and C.

  • Figure 6

    Time Series Graphs Depicting Verbal Content and Affect Scores

    for Interna1 Dyads #6 and #8

    Time Series Parent (6)-lnt 8 I

    r O Q ) a l b C 0 4 ) * ( 3 O J C V P 3 L n b U J r P ' ) r C ) b

    r r r r

    # of Utterances

    Time Series Child (6)-lnt

    # of Utterances

    - Serlesl 1- . - Series2

    Time Series Parent (8)-lnt

    # of Utterances

    Time Series Child (8)-lnt

    # of Utterances

  • 44

    For three of the external dyads ( # 3 , # S I and #7), the time

    series graphs (see Figures 7 and 8) also revealed a notable

    degree of synchrony between the verbal content scores of parents

    and their children. For these dyads, patterns of verbal content

    scores for parents and children were similar to those of interna1

    dyads. That is, verbal content scores fluctuated mostly between

    positive and neutral during frames A and C; however, following

    the experimental manipulation (i.e., frarne B) there was an

    increase in negative verbal content, and scores fluctuated mostly

    between neutral and negative. For the fourth external dyad (#2),

    the experimental manipulation did not appear to elicit a phase

    transition. Communication was marked by higher levels of

    negative verbal content, and scores fluctuated mostly between

    neutral and negative across al1 three frames (see Figure 8 ) . Note that for this dyad there was less synchrony in the verbal

    content scores between parent and child, as there was more

    fluctuation in the child's verbal content scores than the

    parent ' S.

    Affect

    The time series graphs revealed that, following the onset of

    the experimental manipulation (Le., frame BI, there appeared to

    be a notable change in the patterns of affect scores for al1

    dyads (see Figures 5, 6, 7, and 8) . In al1 cases, the tirne series graphs revealed that communication appeared to be marked

    by more negative affect during frame B than during frames A and

    C. Also, in al1 cases, the time series graphs revealed a notable

  • degree of synchrony between the patterns of affect scores of

    parents and their children.

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  • Exploratory Report

    ~ecall that phase transitions in communication were assurned

    to be denoted by a large change in the variance of verbal content

    scores; therefore, al1 inflection points in the floating variance

    graphs were marked. Next, phase space maps were used to observe,

    and monitor structural differences ( e . g . , variance, and

    stability) regarding. the patterns characterizing verbal content

    scores prior to and following the marked inflection points.

    A l s o , floating average graphs were used to examine the

    correspondence between changes in affect and the noted phase

    transitions in verbal content.

    First, for two dyads and one parent, evidence of a phase

    transition in verbal content scores was not revealed (see

    Appendices H and 1). For external dyad # 2 , there were no

    discernable inflection points in the variance of verbal content

    scores. For both parent and child, verbal content scores were

    marked by consistently high levels of coerciveness, across al1

    three frames. For internal dyad #6, an inflection point in the

    variance was not noted for the child. An inflection point was

    noted for the parent; however, the variance did not last a

    minimum of 20 verbal utterances (criterion for phase transition).

    The verbal content scores of this parent and child fluctuated

    mostly between positive and neutral. For internal parent #8, an

    inflection point in the variance was noted during frame C, but

    this transition could not be considered a direct result of the .

    experimental manipulation (i . e . , f rame B) . Because the data for

  • 49

    the preceding dyads did not reveal a phase transition during

    frame 8, these dyads were excluded £ r o m subsequent analyses.

  • Interna1 Dyads

    Dvads #l and #4

    For dyads #i and #4, similar results were found. Figures 9

    and 10 show that, for these dyads, there was evidence of a phase

    transition in the communicative patterns of both parent and

    child. It can be seen that, for parents and their children,

    there is a considerable increase in the variance of verbal

    content scores during frame B (inflection points are rnarked).

    As shown in figures 9 and 10, prior to the first inflection

    point there was little variance in the verbal content scores of

    parents and their children. The phase space maps reveal that

    communication was characterized mostly by positive and neutral

    verbal content, and this was a stable pattern. However,

    following the inflection point there was a high degree of

    fluctuation in verbal content scores ( L e . , increase in

    variance). A look at the phase space maps show that

    communication was marked by higher levels of coerciveness, and

    that this pattern remained stable until the second inflection

    point, when there occurred a decrease in the variance of verbal

    content scores, for both parents and their children. Here, as

    revealed by the phase space maps, communication settled back to

    its baseline pattern, and verbal content scores fluctuated mostly

    between positive and neutral.

  • Figure 9

    Dyad I I : Floating Variance Graph and Phase Space Maps of Verbal Content Scores

    -- Note. Series 1 represents a window of SU, and S e n e s L represents a window of - A red l ine i r inserted to separate frames A, B, and C. Blue l ines are inserted to mark inflection points.

  • Figure 10

    Dyad t 4 : Floating Variance Graph and Phase Space Maps of Verbal Content Scores

  • 53

    Dvad #8--Child

    While the verbal content scores of both parent and child

    fluctuated considerably between neutral and negative, and were

    for the most part synchronous, evidence of a phase transition in

    communication was revealed for the child only. For the child, a

    notable decrease in the variance of verbal content scores was

    observed during frame B, as shown in figure 11 (inflection points

    are marked) . As seen in figure 11, prior to the first inflection point

    the phase space map revealed a high degree of variance in the

    verbal content scores of this child. Verbal content scores

    fluctuated mostly between neutral and negative, and this appeared

    to be a stable pattern of communication for this child. However,

    following the inflection point verbal content scores ceased to

    fluctuate (i.e., decrease in variance), and rather they remained

    consistently negative for a period of tirne. A look at the phase

    space rnap shows that this pattern of communication remained

    stable until the second inflection point, when there was once

    again an increase in the variance of verbal content scores.

    Here, the phase space map shows that the communication pattern

    for this child settled back to its baseline pattern, as verbal

    content scores, once again, began to fluctuate mostly between

    neutral and negative (see Figure 11) .

  • Dyad #8 Child: Floating Variance Graph and Phase Space Maps of

    Verbal Content Scores

  • External Dyads

    Dvads #3, # 5 , and #7

    The communicative patterns of dyads # 3 , #5, and #7 were

    quite sirnilar. As shown in Figures 12, 13, and 14, there was

    evidence of a phase transition in the communicative patterns of

    parents and children. For parents and their children, the

    variance of verbal content scores increased considerably during

    frame B (inflection points are marked) l.

    As seen in figures 12, 1 3 , and 14, prior to the f irst

    inflection point there was little variance in the verbal content

    scores of parents and their children. The phase space maps

    reveal that communication was characterized mostly by positive

    and neutral verbal content, and this was a stable pattern.

    Following the inflection point however, a high degree of

    fluctuation in verbal content scores was observed (i.e., increase

    in variance), and communication was marked by higher levels of

    coerciveness. The phase space maps show that this pattern of

    communication remained stable until the second inflection point,

    when there occurred a decrease in the variance of verbal content

    scores for both parents and their children. Here, as revealed by

    the phase space maps, communication settled back to its previous

    pattern, and verbal content scores fluctuated rnostly between

    positive and neutral (see Figures 12, 13, and 14).

    Note. The first inflection point for the child in dyad #S was less obvious. Therefore, using both the variance windows of 10 and 20, a conservative appraisal was applied and the inflection. point was determined to occur at verbal utterance # 39.

  • Dyad It3: Floating Variance Graph and Phase Space Maps of Verbal Content Scores

  • Dyad # S : Floating Variance Graph and Phase Space Maps of Verbal Content Scores

  • Figure 14

    Dyad (7: Floating Variance Graph and Phase Space Maps o f Verbal Content Scores

    Patent

    I'

  • 59

    The preceding results suggest that the experimental

    manipulation i . . , frame B) was successful in eliciting a phase

    transition in a pattern of communication (Le., verbal content

    scores) in approximately 70% of the cases. In a l 1 cases, phase

    transitions were marked by a considerable increase or decrease in

    the variance of verbal content scores, and communication patterns

    were characterized by higher levels of negative, or coercive,

    verbal content. These results are consistent with the

    expectation guiding rny second research question.

  • 60

    lorin nu the Corres~ondence Between Chancres in Affect and Phase

    Transitions in Verbal Content

    For the previously mentioned dyads, floating average graphs

    revealed notable changes in affect across frames A, B, and C.

    Depending on the individual histories of dyads, communication

    patterns were marked by more negative affect during frame B than

    during frames A and C. Floating average graphs w e r e used,

    alongside floating variance graphs, to explore visually the

    correspondence between changes in affect and phase transitions in

    verbal content. Recall that comparisons between averages and

    variances were made because these best described the data for

    affect and verbal content scores, respectively.

    Interna1 Dyada

    For dyads #1 and # 4 , the floating average graphs revealed a

    change in affect during frame B. During frames A and C, the

    communication patterns of parents and children were characterized

    by positive affect; whereas during frame B affect was more

    negative. A look at figures 15 and 16 shows that, in

    correspondence with the timing of phase transitions in verbal

    content, average affect scores were at their lowest levels for

    both parents and their children. For child #8 , there is only a

    slight change in the average of affect scores during frame B.

    However. as show in figure 17, this change coincided with the

    timing of the phase transition in verbal content, and here,

    average affect scores were at their l o w e s t ,

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    Floating Variance Graph o f Verbal Content Scores

    V. Content

  • External Dyads

    A look at the floating average graphs for dyads # 3 , # S . and

    #7, revealed a notable change in the average of affect scores

    during frame B. As shown in figures 18, 19, and 20, the

    communication patterns of parents and children were characterizet

    mostly by positive and/or neutral affect during frarnes A and C;

    whereas, during frame B affect was more negative. Moreover, a

    look at figures 18, 19, and 20 revealed that, in correspondence

    with the timing of phase transitions in verbal content, average

    affect scores were at their lowest levels for parents and their

    children alike.

    For both interna1 and external dyads, the floating average

    graphs showed that changes in the average of affect scores,

    during frarne B, were characterized by higher levels of neutral

    and/or negative affect. Moreover, changes in affect appeared to

    be synchronous, or coupled, with phase transitions in verbal

    content. That is, following the phase transition, when verbal

    content scores were characterized by higher levels of

    coerciveness, communication was also characterized by higher

    levels of negative affect.

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  • 68

    Question #3

    My third research question was concerned with exploring

    differences between internal and external dyads in the latency of

    the previously mentioned phase transitions. 1 suggested that for

    external dyads lower levels of perceived stress might be needed

    to induce a phase transition in a pattern of communication, and

    hance, less time might elapse (following the onset of frame B)

    before this transition occurs.

    Table 6 reveals only a minimal difference between internal

    and external dyads regarding the latency of phase transitions.

    Overall, these results are inconsistent with my expectation.

    However, upon closer inspection it is noted that, while the

    difference in latency between internal and external children was

    minimal, a more substantial difference in latency was obaerved

    between internal and external parents. Hence, the preceding

    results are partially consistent with rny expectation.

  • Table 6

    Total Number of Verbal Utterances From the Becrinnincr of Frame B

    to the Onset of Phase Transitions for Internai and External Dvads

    1 ~nternala Dyad #l

    Dyad #4

    Dyad #8

    Parent

    17

    Dyad #3

    Dyad #5

    9

    - - -

    Dyad #7

    Chiid

    9

    O

    4

    Total

    2 6

    3

    6

    5

    9

    6

    6

    14

    6

    18

    3

    23

    8

    32

  • 70

    Queetion #4

    MY fourth research question was concexned with exploring

    differences between internal and external dyads regarding the

    stability of the communicative patterns (coercive patterns) that

    aroçe during frarne B. I suggested that coercive communication

    might be a more stable pattern for external, than internal,

    dyads. Thus, when decreasing the level of perceived stress

    ( i . e . , with the onset of frame C), it might take longer for their

    communication patterns to return to baseline level; that is, a

    hysteresis effect would be more likely to occur.

    Table 7 reveals a considerable difference in hysteresis

    among internal and external dyads. These results are consistent

    with my fourth research question. Note that the observed

    difference in hysteresis between internal and external dyads is

    somewhat more substantial for the parent group, than for the

    child group.

  • Table 7

    Total Number of Verbal Utterances From the Beainnins of Frame C

    to t h e Second Phase Transition f o r Interna1 and External Dvads

    II internais 1 Parant 1 Child 1 Total

    Dyad #3 25 2 1 4 6

    Dyad #5 13 11 24

    II Dvad #7 1 O 1 O I D

  • 73

    relationship. That is, most parents assume a controlling and

    authoritarian stance vis-a-vis their children, and overall,

    children may be less likely to display excessively high levels of

    coercive communication while being observed. Also, the video

    camera may have acted to rninirnize any differences between

    interna1 and external children. Generally, most of the children,

    upon my arrival, informed me that they were very excited about

    being "on camera, and it is possible they may have tried (or

    were asked by their parents) to put on a "good impression.It

    My second research question investigated whether

    experimentally increasing the level of perceived stress ( L e . ,

    control parameter) would induce a phase transition in the

    communicative patterns of parent-child dyads. Moreover, I

    expected that phase transitions would result in patterns of

    communication characterized by coercive exchanges. Results were

    consistent with this expectation. In 70% of the cases, such a

    phase transition was observed. In particular, higher levels of

    negative verbal content characterized their communication

    following the experimental manipulation ( L e . , increasing level

    of perceived stress). Moreover, the phase space maps revealed

    that this pattern of communication remained stable until levels

    of perceived stress were decreased. These results are congruent

    with the findings of other investigations highlighting the

    relevance of contextual stressors in initiating and maintaining

    coercive exchanges among parents and their children (see Belsky,

    1984; Campbell, Pierce, March, & Ewing, 1991) .

  • 74

    Interestingly, the results also revealed that changes in the

    affective quality of parent-child communication appeared to be

    coupled, or synchronouç, with phase transitions in verbal

    content, for al1 dyads. That is, when communication between

    parents and their children was characterized by higher levels of

    negative verbal content, affect was also more negative. These

    results are consistent with my expectation, and with other

    studies demonstrating the importance of affect and arousal in the

    initiation and maintenance of coercive exchanges among parents

    and children (Bugental, Blue & Lewis, 1990; Dix, Ruble, Grusec &

    Nixon, 1986; MacKimon et al., 1990). Zt is notable that the

    above results may offer some support for appraisal theories that

    point to the reciprocal influences between cognition and emotion

    (Frijda, 1993; Lewis, 1996) . My third research question explored differences in the

    latency of phase transitions among internal and external dyads.

    1 expected that for external (versus internal) dyads, lower

    levels of perceived stress might be needed to induce a phase

    transition. Consequently, less time would elapse before this

    transition occurred, and their