THE AUTO-REGRESSIVE INTEGRATED MOVING AVERAGE PROCEDURES:

The aims of this tutorial are three-fold: (i) to clarify the meaning of variability measurement in personality and social psychology, (ii) to demonstrate the relevance of and the need for time series analysis in investigations into the dynamics of psychological phenomena, and (iii) to provide specific methods to analyze time series. This paper first presents a step-by-step description of univariate Auto-Regressive-Integrated-Moving-average (ARIMA) procedures, which are useful tools for building iterative models from empirical time series. We then develop two empirical examples in detail, based on the analysis of selfesteem and behavioral data. These examples allow us to present the two most often used models in the psychological literature.

[1]  Didier Delignières,et al.  Dynamics of the learning of a morphokinetic movement sequence in humans , 2003, Neuroscience Letters.

[2]  Didier Delignières,et al.  The fractal dynamics of self-esteem and physical self. , 2004, Nonlinear dynamics, psychology, and life sciences.

[3]  M. Kernis The Roles of Stability and Level of Self-Esteem in Psychological Functioning , 1993 .

[4]  Stephen J. Guastello,et al.  Nonlinear Dynamics of Motivational Flow , 1999 .

[5]  N. North The psychological effects of spinal cord injury: a review , 1999, Spinal Cord.

[6]  M. Bar-eli,et al.  Psychological benefits of sports for disabled people: a review , 1993 .

[7]  B. Priel,et al.  Perceptions of asthma severity: the role of negative affectivity. , 1994, The Journal of asthma : official journal of the Association for the Care of Asthma.

[8]  George E. P. Box,et al.  Time Series Analysis: Forecasting and Control , 1977 .

[9]  N. C. Ellis,et al.  Depressive symptoms and self-concept in young people with spina bifida. , 1997, Journal of pediatric psychology.

[10]  Karl M. Newell,et al.  Time series analysis of motor learning: KR versus No-KR , 1986 .

[11]  T. Marks-Tarlow The Self as a Dynamical System , 1999 .

[12]  D H Harvey,et al.  The self-concept of physically handicapped children and their non-handicapped siblings: an empirical investigation. , 1984, Journal of child psychology and psychiatry, and allied disciplines.

[13]  Henry D. I. Abarbanel,et al.  Analysis of Observed Chaotic Data , 1995 .

[14]  T. Abend,et al.  Individual differences in reactivity to daily events: examining the roles of stability and level of self-esteem. , 1999, Journal of personality.

[15]  J. Nezlek,et al.  Day-to-Day Relationships among Self-Concept Clarity, Self-Esteem, Daily Events, and Mood , 2001 .

[16]  Robin R. Vallacher,et al.  The Dynamical Perspective in Personality and Social Psychology , 2002 .

[17]  Karl M. Newell,et al.  Is Variability in Human Performance a Reflection of System Noise? , 1998 .

[18]  K. Newell Motor skill acquisition. , 1991, Annual review of psychology.

[19]  D. Delignières,et al.  The hierarchical structure of the physical self: An idiographic and cross‐correlational analysis , 2004 .

[20]  Richard A. Davis,et al.  Time Series: Theory and Methods , 2013 .

[21]  M. Chapman,et al.  SELF‐ESTEEM, ASPIRATIONS AND EXPECTATIONS OF ADOLESCENTS WITH PHYSICAL DISABILITY , 1992, Developmental medicine and child neurology.

[22]  G. King,et al.  Self-evaluation and self-concept of adolescents with physical disabilities. , 1993, The American journal of occupational therapy : official publication of the American Occupational Therapy Association.

[23]  N. C. Ellis,et al.  THE SELF‐CONCEPT OF YOUNG PEOPLE ‘ WITH SPINA BIFIDA: A POPULATION‐BASED STUDY , 1994, Developmental medicine and child neurology.

[24]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1972 .

[25]  K. Hammell,et al.  Psychological and sociological theories concerning adjustment to traumatic spinal cord injury: the implications for rehabilitation , 1992, Paraplegia.

[26]  A. Amorose Intraindividual Variability of Self-Evaluations in the Physical Domain: Prevalence, Consequences, and Antecedents , 2001 .

[27]  P. N. Kugler,et al.  Search Strategies and the Acquisition of Coordination , 1989 .

[28]  Change in adult self-esteem: a longitudinal assessment. , 1999, The British journal of social psychology.

[29]  Dominique M. Hanssens,et al.  Market Response Models: Econometric and Time Series Analysis , 1989 .

[30]  J. Berkhof,et al.  Quality of life in depression: daily life determinants and variability , 1999, Psychiatry Research.

[31]  J. Jutai,et al.  Adolescents with physical disabilities: some psychosocial aspects of health. , 1996, The Journal of adolescent health : official publication of the Society for Adolescent Medicine.

[32]  Marina Fortes,et al.  The Dynamics of Self-Esteem and Physical Self: Between Preservation and Adaptation , 2004 .

[33]  L. Kersten Changes in self-concept during pulmonary rehabilitation, Part 1. , 1990, Heart & lung : the journal of critical care.

[34]  D. Delignières,et al.  A PSYCHOMETRIC TOOL FOR THE ASSESSMENT OF THE DYNAMICS OF THE PHYSICAL SELF , 2001 .

[35]  Wayne F. Velicer,et al.  The Reliability and Accuracy of Time Series Model Identification , 1983 .

[36]  H. Kantz,et al.  Nonlinear time series analysis , 1997 .

[37]  W. Tryon,et al.  Monitoring and Assessing Symptoms of Chronic Fatigue Syndrome: Use of Time Series Regression , 1999, Psychological reports.

[38]  T. Cook,et al.  Quasi-experimentation: Design & analysis issues for field settings , 1979 .

[39]  G. K. Smith,et al.  The history of spina bifida, hydrocephalus, paraplegia, and incontinence , 2001, Pediatric Surgery International.

[40]  Robin R. Vallacher,et al.  The Emergence of Dynamical Social Psychology , 1997 .