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Models of structural theories of motor abilities and performance Petr Blahuš Charles University Faculty of Physical Education and Sport Department of Kinanthropology Division of Methodology Prague, The Czech Republic. There are several “secret - latent - hidden” precious stones ,
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Models of structural theories of motor abilities and performance Petr Blahuš Charles University Faculty of Physical Education and Sport Department of Kinanthropology Division of Methodology Prague, The Czech Republic
There are several “secret - latent - hidden” precious stones, formal methods items in the methodological treasure of behavioral sciences incl. kinanthropology, viz. latent variables models: - CFA- confirmatory common factor analysis -IRT models -Item Response Theory models - SEM - structural equations and path analysis models
Theories of motor performance - incl. athletic performance, are structural theories i.e. combination theories of a composition of motor abilities for example cf. the following naively intuitive model: performance = 30% endurance + 40% power + 20% speed
Hierarchical ? Coordination
Structural Equation Models (SEM) with latent variables and theories of athletic performance 1. Static simultaneous combination of manifest indicators of training: multiple regression model 2. Static simultaneous combination of motor abilities and concepts: common latent factor model 3. Static but sequential combination ordering of motor abilities and concepts: path analysis with latent variables 4. Dynamic sequence and combination: VARMA for longitudinal analysis of longitudinal training documentation
Practice / training indicator 1 Composite manifest prediction multiple regression Training indicator 1 Practice / training indicator 2 Practice / training indicator 3 Performance Control test 1 Control test 2 This composition of training should produce That performance
Combination of theoretical concepts / abilities latent common factors model Test 1 Endurance F1 Test 2 Test 3 Performance Y Power F2 Test 4 Test 5 Speed ability F3 Test 6 w1 F1 + w2 F2 + w3 F3 = Y Weighted combination Performance of abilities / concepts produces
Sequential ordering and combination Test 4,1 Test 4,2 path analysis Level of ability F4 Practice method 2 Practice method 4 Test 2,1 Test 2,2 Level of ability F2 Starting level of ability F1 Test 1,1 Test 1,2 Level of ability F3 Performance Practice method 3 Test 3,1 Test 3,2 Level of ability F5 Practice method 5 Test 5,2 Test 5,1
Test 1 Vector Autoregressive Moving Averages VARMA model F1 Test 2 Test 1 Test 2 Practice method 1 F1 F2 Test 3 Test 1 Test 4 F2 Practice method 2 F1 Test 2 Test 3 Test 4 F2 Practice method 3 Performance F1 Test 3 Test 4 T I M E F2 Final performance Performance