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Biomechanics and Medicine in Swimming XI

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<strong>Biomechanics</strong><strong>and</strong>medic<strong>in</strong>e<strong>in</strong>swimm<strong>in</strong>gXi<br />

Regression Analysis Model Applied to Age-Group<br />

Swimmers: Study of Stroke Rate, Stroke Length <strong>and</strong><br />

Stroke Index<br />

Morales, e., Arellano, r., Femia, P., Mercade, J.<br />

University of Granada, Spa<strong>in</strong><br />

This <strong>in</strong>vestigation aimed to develop a regression model of the K<strong>in</strong>ematics<br />

Characteristics (KC) evolution <strong>in</strong> a large sample of regional<br />

age-group Spanish swimmers. Subjects were 280 regional swimmers<br />

selected from different clubs. The 50 m time, Stroke rate (SR), Stroke<br />

length (SL) <strong>and</strong> Stroke Index (SI) were used for analysis. Inverse function<br />

approximation of the race times by age (AGE) <strong>and</strong> gender (GEN)<br />

was carried out. Quadratic function approximation of the SL <strong>and</strong> SI<br />

by ag<strong>in</strong>g was carried out. L<strong>in</strong>eal function by ag<strong>in</strong>g was def<strong>in</strong>ed for ST.<br />

Furthermore, the analysis regression of KC for age <strong>and</strong> genders were calculated<br />

respectively. 50 m times were different between genders. There<br />

is a tendency to improve the parameters SL <strong>and</strong> SI with age <strong>in</strong> both<br />

genders. SR does not show a clear trend <strong>and</strong> has an irregular behaviour.<br />

Key words: stroke rate, stroke length, stroke <strong>in</strong>dex, regression analysis,<br />

age-group.<br />

IntroductIon<br />

The swimmer´s time obta<strong>in</strong>ed after perform<strong>in</strong>g a competitive event can<br />

be considered as important <strong>in</strong>formation to help the coach<strong>in</strong>g process<br />

that follows the competitive performance. The dynamic process of tra<strong>in</strong><strong>in</strong>g<br />

needs as much <strong>in</strong>formation as possible from that performance. This<br />

<strong>in</strong>formation will help the coach to monitor the tra<strong>in</strong><strong>in</strong>g program.<br />

The Race Component (RC) Time to be <strong>in</strong>clude <strong>in</strong> the analysis of<br />

swimm<strong>in</strong>g performance dur<strong>in</strong>g <strong>in</strong>ternational swimm<strong>in</strong>g competition<br />

(Hay,Guimaraes, & Grimston, 1983) <strong>and</strong> it is very important to now<br />

the follow of race. In order to improve the swimmer´s efficiency stroke<br />

rate, stroke length <strong>and</strong> stroke <strong>in</strong>dex to be <strong>in</strong>clude <strong>in</strong> the analysis of competition.<br />

Technical performance <strong>in</strong> cyclic activities <strong>and</strong>, more specifically,<br />

swimm<strong>in</strong>g performance (Hay, 2002) has traditionally been assessed<br />

by analysis the changes <strong>in</strong> <strong>and</strong> management of velocity, stroke rate <strong>and</strong><br />

stroke length (Graig, & Perdergast, 1979; Pai, Hay & Wilson, 1984;<br />

Kenndy, Brown, Chegarlur & Nelson, 1990; Chegarlur & Brown, 1992;<br />

Chollet, Pelayo, Tourny, & Sidney, 1996). Several groups of researchers<br />

have analysed the technical <strong>and</strong> k<strong>in</strong>ematics characteristics (KC), stroke<br />

rate (SR), stroke lengh (SL) <strong>and</strong> stroke <strong>in</strong>dex (SI), dur<strong>in</strong>g <strong>in</strong>ternational<br />

competitions to determ<strong>in</strong>e their relationship with performance.<br />

Some studies have been published where regression equations were<br />

applied <strong>in</strong> the analysis of RC obta<strong>in</strong>ed <strong>in</strong> different competitions (Absaliamov<br />

& Timakovoy, 1090; Arellano, Brown, Cappaert & Nelson,<br />

1996; Nomura, 2006). The study aim was to develop a regression model<br />

of the KC evolution <strong>in</strong> a large sample of regional age-group Spanish<br />

swimmers.<br />

Method<br />

The subjects were 280 swimmers (162 males <strong>and</strong> 118 females) regional<br />

swimmers. The age of these subjects ranged from 9 to 22 years.<br />

The procedures that have been used to record the 50 m time <strong>and</strong> k<strong>in</strong>ematics<br />

characteristics obta<strong>in</strong>ed by swimmers dur<strong>in</strong>g the performance<br />

test of 50 m freestyle were: a) references were put on the swimm<strong>in</strong>g pool<br />

at the distances selected (5, 10, 15 <strong>and</strong> 20 m) to know when the head<br />

crossed this l<strong>in</strong>e; b) the 50m trials were recorded by five video cameras<br />

connected to a m<strong>in</strong>i DV video recorder through a video-timer <strong>and</strong> video<br />

selector; c) the images from the first two video cameras were mixed to<br />

130<br />

see the over- <strong>and</strong> under- water phases of the start <strong>in</strong> the same frame<br />

(until 5m); d) third <strong>and</strong> fourth cameras were used to measure the 10<br />

<strong>and</strong> 15 m time; the fifth camera was placed at the end of the swimm<strong>in</strong>g<br />

pool for video record<strong>in</strong>g the turn<strong>in</strong>g phase (20 <strong>and</strong> 25 m) <strong>and</strong>; e) all the<br />

images from the cameras were recorded at a distance of 8 m from the<br />

perpendicular plane of the swimmer’s displacement (see figure 1).<br />

Figure 1. Picture with the references <strong>and</strong> video cameras set-up on the<br />

swimm<strong>in</strong>g pool.<br />

KC obta<strong>in</strong>ed by swimmers dur<strong>in</strong>g the performance test of 50 m freestyle<br />

was calculated <strong>in</strong> all lap. The results showed the average of laps. The<br />

number of cycles utilized for to do the calculation was three. The equations<br />

def<strong>in</strong><strong>in</strong>g SR, SL <strong>and</strong> SI were as follows:<br />

nº cycles ( c)<br />

SR<br />

cycles time ( s)<br />

SL<br />

= (1)<br />

espace ( m)<br />

nº cicles<br />

= (2)<br />

SI = speed • SL (3)<br />

The regression analysis was developed us<strong>in</strong>g the SPSS 17.0 statistical<br />

software (SPSS Inc., Chicago, Ill., USA). The Kolmogorov-Smirnov test<br />

showed the normal distribution of the sample. The regression analysis<br />

was used to discover the tendency <strong>and</strong> model of the 50 m time <strong>and</strong> KC.<br />

Inverse function approximation of the race times by age (AGE) <strong>and</strong><br />

gender (GEN) was carried out. Also, quadratic function approximation<br />

of the SL, <strong>and</strong> SI by age <strong>and</strong> GEN, <strong>and</strong> l<strong>in</strong>eal function of the SR by<br />

AGE <strong>and</strong> GEN was carried out.<br />

results<br />

The T-test for <strong>in</strong>dependent samples expla<strong>in</strong>s the difference between<br />

genders for each KC (Table 1).<br />

Table 1. T-test for <strong>in</strong>dependent samples accord<strong>in</strong>g to gender <strong>in</strong> SR, SL<br />

<strong>and</strong> SI.<br />

Var. Means Difference E.T T (gl) P<br />

Fc Mas.<br />

Fem.<br />

Lc Mas.<br />

Fem.<br />

Ic Mas.<br />

Fem<br />

53.018<br />

51.259<br />

1.427<br />

1.530<br />

1.846<br />

2.026<br />

*P

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