Individual Zone of Optimal Functioning (IZOF): A Probabilistic Estimation

2002 ◽  
Vol 24 (2) ◽  
pp. 189-208 ◽  
Author(s):  
Akihito Kamata ◽  
Gershon Tenenbaum ◽  
Yuri L. Hanin

The Individual Zone of Optimal Functioning (IZOF) model postulates the functional relationship between emotions and optimal performance, and aims to predict the quality of upcoming performance with respect to the pre-performance emotional state of the performer. Several limitations associated with the traditional method of determining the IZOF are outlined and a new probabilistic approach is introduced instead. To reliably determine the boundaries of the IZOF and their associated probabilistic curve thresholds, performance outcomes that vary in quality, as well as the emotional intensity associated with them, are taken into account. Several probabilistic models of varying complexity are presented, along with hypothetical and real data to illustrate the concept. The traditional and the new methods are contrasted in one actual set and two hypothetical sets of data. In all cases the proposed probabilistic method was found to show greater sensitivity and to more accurately represent the data than the traditional method. The development of the method is a first stage toward developing models that take into account the interactive nature and multidimensionality of the emotional construct, as well as the fluctuations in emotional intensity and performance throughout the competition phases (i.e., momentum).

2016 ◽  
Vol 8 (4) ◽  
pp. 60 ◽  
Author(s):  
Zijin Yao

<p>Music Performance Anxiety (MPA) is a common problem for musicians. Many musicians struggle with performance anxiety and rely on traditional de-arousal interventions to reduce performance anxiety before public performance. However, research in sports psychology suggests that anxiety reduction may not be the most appropriate strategy for intervention (Chamberlain &amp; Hale, 2007). According to the Individual Zone of Optimal Functioning (IZOF) model proposed by Hanin, an athlete’s performance is successful when his or her pre-competition anxiety is within or near the individual’s optimal zone (Hanin, 2000). Based on the application of the IZOF theory in the context of piano performance, anxiety plays an important role in optimizing performance in music as well. This pilot study identified participants’ IZOFs with the Competitive State Anxiety Inventory (CSAI-2). Support was found for Hanin’s IZOF theory with respect to the SA (somatic anxiety) and SC (self-confidence) dimensions for both of the participating pianists, as well as the CA (cognitive anxiety) dimension of pianist A but not for the CA dimension of pianist B. Piano performances associated with anxiety of an intensity that fell within the IZOF were observed to be significantly better than piano performances associated with anxiety intensity outside the IZOF. All the peak performances were presented within the IZOFs. The study verified that the IZOF model can be applied in MPA management and may help pianists be more aware of in-zone/out-zone states and rethink their attitudes toward performance anxiety. With this pilot study as a foundation, larger scale research can be conducted to clarify the correlation between anxiety and optimal piano performance.</p>


2015 ◽  
Vol 7 (4) ◽  
pp. 70
Author(s):  
Jolly Roy ◽  
Edin Suwarganda

<p>Understanding emotional influence that affect sport performance in archery helps to design the appropriate intervention in athlete’s preparation. The present study examined the effect of emotion intensity from four Olympic level recurve archers on error scores and performance outcomes; compared individual emotion intensities of three competing archers during Olympic competition with previously established individual optimal zone; and examined the influence of being “in or out of individual zone” relating the archer’s achievement with the individual target set by the coach and performance outcome during Olympic competition. The results revealed that unpleasant dysfunctional emotion (N-) had the most influence on performance score. The in-out of zone results derived from the archers data lend support to emotion-performance relationship.</p>


2020 ◽  
Vol 10 (21) ◽  
pp. 7885 ◽  
Author(s):  
Félix Escolano Sánchez ◽  
Manuel Bueno Aguado ◽  
Eugenio Sanz Pérez

Probabilistic approaches to deal with uncertainty on soil mechanic predictions are on the rise. We developed a procedure to deal with uncertainty coming from soil conditions. It was applied to an analytical model to simulate the behavior of a soil improvement work based on rigid inclusion below a slab foundation. The model can predict the settlements of the slab. Even more, it was also able to provide a confidence level based on a probabilistic approach to the input’s variables. Outputs were compared to large-scale tests. The agreement is outstanding. We try to encourage the use of probabilistic models to solve complex geotechnical problems.


2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Joshua T. Vogelstein ◽  
Eric W. Bridgeford ◽  
Minh Tang ◽  
Da Zheng ◽  
Christopher Douville ◽  
...  

AbstractTo solve key biomedical problems, experimentalists now routinely measure millions or billions of features (dimensions) per sample, with the hope that data science techniques will be able to build accurate data-driven inferences. Because sample sizes are typically orders of magnitude smaller than the dimensionality of these data, valid inferences require finding a low-dimensional representation that preserves the discriminating information (e.g., whether the individual suffers from a particular disease). There is a lack of interpretable supervised dimensionality reduction methods that scale to millions of dimensions with strong statistical theoretical guarantees. We introduce an approach to extending principal components analysis by incorporating class-conditional moment estimates into the low-dimensional projection. The simplest version, Linear Optimal Low-rank projection, incorporates the class-conditional means. We prove, and substantiate with both synthetic and real data benchmarks, that Linear Optimal Low-Rank Projection and its generalizations lead to improved data representations for subsequent classification, while maintaining computational efficiency and scalability. Using multiple brain imaging datasets consisting of more than 150 million features, and several genomics datasets with more than 500,000 features, Linear Optimal Low-Rank Projection outperforms other scalable linear dimensionality reduction techniques in terms of accuracy, while only requiring a few minutes on a standard desktop computer.


2017 ◽  
Vol 27 (12) ◽  
pp. 3709-3725 ◽  
Author(s):  
David Andrich

The advantages of using person location estimates from the Rasch model over raw scores for the measurement of change using a common test include the linearization of scores and the automatic handling of statistical properties of repeated measurements. However, the application of the model requires that the responses to the items are statistically independent in the sense that the specific responses to the items on the first time of testing do not affect the responses at a second time. This requirement implies that the responses to the items at both times of assessment are governed only by the invariant location parameters of the items at the two times of testing and the location parameters of each person each time. A specific form of dependence that is pertinent when the same items are used is when the observed response to an item at the second time of testing is affected by the response to the same item at the first time, a form of dependence which has been referred to as response dependence. This paper presents the logic of applying the Rasch model to quantify, control and remove the effect of response dependence in the measurement of change when the same items are used on two occasions. The logic is illustrated with four sets of simulation studies with dichotomous items and with a small example of real data. It is shown that the presence of response dependence can reduce the evidence of change, a reduction which may impact interpretations at the individual, research, and policy levels.


1994 ◽  
Vol 21 (6) ◽  
pp. 1074-1080 ◽  
Author(s):  
J. Llamas ◽  
C. Diaz Delgado ◽  
M.-L. Lavertu

In this paper, an improved probabilistic method for flood analysis using the probable maximum flood, the beta function, and orthogonal Jacobi’s polynomials is proposed. The shape of the beta function depends on the sample's characteristics and the bounds of the phenomenon. On the other hand, a serial of Jacobi’s polynomials has been used improving the beta function and increasing its convergence degree toward the real flood probability density function. This mathematical model has been tested using a sample of 1000 generated beta random data. Finally, some practical applications with real data series, from important Quebec's rivers, have been performed; the model solutions for these rivers showed the accuracy of this new method in flood frequency estimation. Key words: probable maximum flood, beta function, orthogonal polynomials, distribution function, flood frequency estimation, data generation, convergency.


2014 ◽  
Vol 53 (3) ◽  
pp. 660-675 ◽  
Author(s):  
Megan C. Kirchmeier ◽  
David J. Lorenz ◽  
Daniel J. Vimont

AbstractThis study presents the development of a method to statistically downscale daily wind speed variations in an extended Great Lakes region. A probabilistic approach is used, predicting a daily-varying probability density function (PDF) of local-scale daily wind speed conditioned on large-scale daily wind speed predictors. Advantages of a probabilistic method are that it provides realistic information on the variance and extremes in addition to information on the mean, it allows the autocorrelation of downscaled realizations to be tuned to match the autocorrelation of local-scale observations, and it allows flexibility in the use of the final downscaled product. Much attention is given to fitting the proper functional form of the PDF by investigating the observed local-scale wind speed distribution (predictand) as a function of the decile of the large-scale wind (predictor). It is found that the local-scale standard deviation and the local-scale shape parameter (from a gamma distribution) are nonconstant functions of the large-scale predictor. As such, a vector generalized linear model is developed to relate the large-scale and local-scale wind speeds. Maximum likelihood and cross validation are used to fit local-scale gamma distribution shape and scale parameters to the large-scale wind speed. The result is a daily-varying probability distribution of local-scale wind speed, conditioned on the large-scale wind speed.


PEDIATRICS ◽  
1996 ◽  
Vol 98 (2) ◽  
pp. 268-268
Author(s):  
C. P. Darby

We must be aware that freedom from organic disease alone can not be our goal. The optimal functioning of the individual must be our aim, and that it occur in an environment conducive to a fuller life. We must be aware that man does not live by bread alone, nor by his antihypertensive pill alone. We must be citizens of the community, helping to make it a better place for the raising of our children, for a fuller educational opportunity, for the development of the arts and other cultural aspects which help raise man above the level of animal life. Thus, the making of a doctor almost begins at his mother's knee. Nurtured further by society and its educational and Cultural institutions, he is finally given a privilege by society, to act in a responsible way in furthering the health, both physical and mental, of those he calls his patients. (Delivered to medical students and faculty, School of Medicine, University of South Dakota, May 1976 by Mitchell I. Rubin, MD, Emeritus Professor of Pediatrics, State University of New York at Buffalo, and Consultant in Pediatrics, Medical University of South Carolina).


2021 ◽  
Vol 23 (5) ◽  
pp. 92-98
Author(s):  
ILYA KAPLUNOVICH ◽  
◽  
SVETLANA KAPLUNOVICH ◽  

The founder of humanistic psychology A. Maslow claimed: those who have only a hammer as a tool are inclined to consider the problem as a naill. Is it possible to learn to see in subordinates not nails, but individuals of joint labor activity? What effective management methods are able to identify the true cause and hidden motives of the employee, influence them and get him to voluntarily accept the actions expected and necessary for the manager? The answer to these questions is the purpose of the described study. In management, the Japanese ”Five Why” method is widespread, which, according to the authors, is not productive enough. Having abandoned the formal-logical and relying on the causal-genetic method of research, the technology of adaptive learning in the zone of proximal development, the authors propose another, domestic approach, which has proven its greater efficiency. The article describes the technology of working with it in practice and its advantages. When using the «keyword» technology, the movement towards the result is purposeful. Within the framework of the individual logical trajectory it affects the reasoning of the employee, not the manager. With these questions, the manager constantly assesses and leads the subordinate into an individual zone of proximal development, and the discussion is held within it (that is, the developing effect of the employee’s reflections is ensured). Reliance on the keywords of the respondent ensures that there are no obstacles in the construction of inferences. If in the end there are obstacles, they are quickly leveled by relying on the next keyword of the respondent.


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