o,v914 THE RELATIVE CONTRIBUTION OF FLEXIBILITY OF THE BACK AND HAMSTRING MUSCLES IN THE PERFORMANCE OF THE SIT AND REACH COMPONENT OF THE AAHPERD HEALTH RELATED FITNESS TEST IN GIRLS THIRTEEN TO FIFTEEN YEARS OF AGE THESIS Presented to the Graduate Council of the North Texas State University in Partial Fulfillment of the Requirements For the Degree of MASTER OF SCIENCE By Alice Ann Baker Denton, Texas August, 1985 @1986 ALICE ANN BAKER All Rights Reserved Baker, Alice Ann, The Relative Contribution of Flexi- bility of the Back and Hamstring Muscles in the Performance of the Sit and Reach Component of the AAHPERD Health Related Fitness Test in Girls Thirteen to Fifteen Years o Master of Science (Physical Education), August, 1985, 46 pp., 7 tables, bibliography, 36 titles. The purpose of the study was to quantify the relative contribution of low back flexibility and hamstring flexibilAAHPERD Health ity in the sit and reach test item of the of the Related Fitness Test in order to examine the validity sit and reach test. Subjects were 100 female students, 13 to 15 years of age in physical education classes. Hamstring flexibility was measured using the Leighton flexometer. Spinal mobility was measured using a tape measure. The sit and reach test was performed according to instructions given in the AAHPERD Test Manual. Data were analyzed using correlation, linear regression, and multiple regression. Conclusions of the investigation were (1) hamstring flexi- bility is moderately related to the sit and reach test, (2) the low back flexibility has a very small relationship to sit and reach test, and (3) the sit and reach test is an inadequate measure of low back and hamstring flexibility. TABLE OF CONTENTS Page iv . . . - . - v - LIST OF ILLUSTRATIONS . LIST OF TABLES ......-...........- Chapter I. 1 INTRODUCTION Purpose of the Study Delimitations Definition of Terms II. - -0 -0 -a - - -6 REVIEW OF LITERATURE Testing Devices III. PROCEDURES OF THE STUDY 0 -a -0 - - 23 Subjects Methods Pilot Study Data Analysis IV. RESULTS . ...-..-.......-.-.-.-.-.-.-.-.. 30 V. DISCUSSION AND CONCLUSIONS OF THE STUDY . Reliability of Data Descriptive Statistics Correlational Results Cross Validation of Correlations 35 Conclusions Recommendations APPENDIX....-...........-.-.-.-.-.....-.-.-.-.-.REFERENCES. ............-...-.-.-.-.-.-.-...-.-. iii 41. 44 . LIST OF TABLES Page Table I. II. III. IV. V. VI. VII. Test-Retest Reliability of the Sit and Reach Test ..............-...-.-.-.-..-.. 10 Test-Retest Reliability of the Leighton -...-.-.-.-.14 . . ........ Flexometer. Subject Descriptive Statistics . 24 ....... Test-Retest Reliability Estimates for the Variables Measured in the Study. . ..... Descriptive Statistics. 30 31 ... . ........ Pearson Correlation Coefficients Between the Sit and Reach Test and Other Variables . . . 32 . . 33 Cross Validation of Correlations Between the Sit and Reach Test and Other Variables iv . LIST OF ILLUSTRATIONS Page Figure -.-.-.-.-.-.41 1. Sit and Reach Test..... . ....... 2. Leighton Flexometer Hamstring Test.. .. 3. Spine Flexibility Test.......... ........ 43 V .. 42 CHAPTER I INTRODUCTION Alarmed by data published in a research study by Kraus and Hirschland (1954), President Dwight D. Eisenhower called a national conference in 1956 to discuss the future of American youth. that 57.9% The Kraus and Hirschland study concluded of American school children failed to pass a minimal muscular fitness test compared to the failure of 8.9% of European children. This immediate and urgent focus on the apparent low level of physical fitness in the nation's youth eventually led to the establishment of the President's Council on Physical Fitness and the development in 1958 of a fitness test by the American Alliance of Health, a national Physical Education and Recreation to be used in survey of the fitness of American youth. The AAHPER Youth Fitness Test became the first fitness test with national norms to be developed by the physical education profession (American Alliance of Health, Physical Education, Recreation, and Dance [AAHPERD], 1980). Although the toe-touch test was the most frequently failed segment of the Kraus study, it was not included in Instead, the AAHPER Youth Fitness Test. the test items selected were skills accepted by physical educators as 1 2 important to develop in their education programs. These items reflected the fitness philosophy of the 1950s emphasizing motor performance related to athletic ability (Pate, 1983). The test was generally well accepted, and by 1979 approximately 20 million school children were being tested per year with this instrument (AAHPERD, 1980). However, since the inception of the test, massive volumes of research data have been collected indicating several components of physical fitness could prevent or prolong the onset of certain diseases (Pate, 1983). This, along with concern over the epidemic proportions of the lack of physical fitness in the American people, led to a reappraisal of the test (AAHPERD, 1980). The newest scientific research related cardiorespira- tory endurance, body composition and lower trunk strength and flexibility to health. It also showed a responsiveness of these components to training and suggested that many health problems are chronic and progressive beginning in childhood and reaching clinical levels in the middle of late adulthood (Pate, 1983). Armed with this new data, a revi- sion of the test was made by the American Alliance of Health, Physical Education, Recreation, and Dance, and in 1980 the AAHPERD Health Related Fitness Test was created. The revised test stressed fitness related to functional health rather than fitness related primarily to athletic 3 of the contriability reflecting a heightened appreciation bution regular exercise can make to the maintenance of good It has been acknowledged that a high health (Pate, 1982). problem incidence of low back pain has become a significant not only to adults but to people of all ages and both sexes, sedentary and active alike (AAHPERD, 1984). musculoDue to the relationship of low back-hamstring evaluates this skeletal function to low back pain, a test that of the function was included as one of the three components new test. The test item selected to measure lower trunk flexibility was the sit and reach test. Purpose of the Study the relative The purpose of this study was to quantify flexicontribution of low back flexibility and hamstring Health bility in the sit and reach test item of the AAHPERD Related Fitness Test in order to examine the validity of the sit and reach test. Delimitations One delimitation of the study is subject specificity pertaining to gender (female). The other delimitation is to 15 years old). subject specificity pertaining to age (13 Definition of Terms Flexibility--range of motion about a joint. 4 Flexometer--variation of the goniometer consisting of a weighted 360 degree dial and gravity controlled pointer mounted in a case and used to measure joint movement. Goniometer--protractor-like apparatus used to measure joint movements and angles. Sit and reach test--method of evaluating flexibility of the low back and hamstring musculature by determination of the maximum reach achieved from a seated starting position after reaching directly forward with the palms down along a measuring scale. Toe-touch test--method of evaluating flexibility of the low back and hamstring musculature by determination of the maximum reach achieved after bending forward with fingertips toward the toes, especially from a standing starting position. CHAPTER REFERENCES American Alliance for Health, Physical Education, Recreation, (1980). AAHPERD health related physical and Dance. fitne ss test manual. Washington, D. C.: AAHPERD. American Alliance for Health, Physical Education, Recreation, (1984). AAHPERD health related physical and Dance. AAHPERD. fitness technical manual. Washington, D. C.: Minimum muscular (1950). Kraus, H., & Hirschland, R. P. Research Quarterly, The fitness tests in school children. 21, 25-33. (1982). Health related physical fitness. Pate, R. R. Journal of Physical Education, Recreation and Dance. October, 63. (1983). A new definition of youth fitness. Pate, R. R. The Physician and Sportsmedicine, 11(4), 77-83. 5 CHAPTER II REVIEW OF LITERATURE A review of the literature on flexibility of the hip joint was aided by a computer search of the Medline, and Catline databases from 1966 to the present. Eric, The literature on the subject is limited and only one article (Fieldman, 1968) was found which was concerned with the relative contribution of the back and hamstring muscles to hip joint flexibility. Primarily studying the effects of warm-up on the musculature during hip flexion, Fieldman collected data on 33 college men performing the toe-touch test. The purpose of his investigation was to assess the relative contribution of the back and hamstring muscles in the performance of the toe-touch test after using selected extensibility exercises The subjects executed six tests over a five- as a warm-up. The first and sixth tests had no warm-up week period. while the second through fifth tests had varying degrees of warm-up. Photographs were taken of each subject in two lateral poses, one with a straight back and the hips flexed -and the other in complete flexion. The results indicated that the tests which included extensibility exercises allowed the subject to display greater flexibility. 6 Fieldman 7 concluded that any increased contribution of flexibility in came the performance of a standing toe-touch after warm-up from the hamstring muscles. He did not quantify the contri- butions of the back or hamstring musculature nor did he relate his findings to the scores of the toe-touch test. Several studies examined the relationship of hip joint flexibility and anthropometric measures. Mathews, Shaw, and Bohnen (1957) measured 66 college women on three flexibility tests consisting of an adapted Kraus-Weber floor touch test, the Leighton flexometer test, and the Wells sit and reach test. Their intention was to determine the relationship between these tests and the following three anthropometric measures: floor, the distance from the greater trochanter to the standing reach, and standing height. No significant relationship was found between the flexibility of the hip body segments. joint in the sagittal plane and the length of Broer and Galles (1958) investigated the importance of the relationship of trunk-plus-arm length (reach) to leg length in the performance of the toe-touch test, collected on 100 college women. using data Flexibility of the lower and back and hip was measured by the Leighton flexometer the toe-touch test. For persons with average body build the relationship of trunk-plus-arm length to leg length was found to be an insignificant factor in the ability to perform the toe-touch test. However, subjects with extreme in relation body builds of longer trunk-plus-arm measurement 8 to shorter leg length have an advantage in the execution of this test. Mathews, Shaw, and Woods (1959) also studied extremes of lower limb length, but found flexibility to be independent of the length of body segments including lower limb length. One hundred and fifty-eight male elementary school students were measured on the Wells sit and reach test and the adapted Kraus-Weber floor touch test. The anthropometric measures included standing reach, height, weight, and lower limb length of the right leg from the top of the greater trochanter to the floor. The relationship of the hip flexibility test scores and the anthropometric measures was found to be insignificant. Wear (1963), using 116 college men, took measurements on the Wells and Dillon sit and reach flexibility test and measurements of leg length and of trunk-plus-arm length. He concluded that sit and reach mobility is not significantly related to leg length but is significantly related to excess of trunk and arm length over leg length. The investigation of Harvey and Scott (1967) of the relationship between the length of body segments and trunk flexibility used data collected on 100 college freshman women. Their results indicated no significant relationship between the length of body segments or leg over trunk ratio and the best scores obtained on the bend and reach test. 9 Laubach and McConville (1965a) examined the relation- ship between flexibility and anthropometric measurements in addition to flexibility and somatotype. Fourteen flexibility measurements using the Leighton flexometer, 63 direct and derived anthropometric measurements, 63 college men were obtained. and the somatotypes of The correlations between the flexibility measurements and the anthropometric measurements were low and mostly insignificant. The correlations between the flexibility measurements and somatotype were insignificant. In another study Laubach and McConville (1965b) obtained data on 4 measures of muscle strength, 2 measures of flexibility, 30 direct and indirect anthropometric measures, and the somatotypes of 45 male subjects ranging in age from 17 to 35 years. The correlations between the flexibility and anthropometric measurements were found to be low and statistically insignificant, and there was a general lack of relationship between the flexibility measurements and the somatotype components. The relationship between anthropometric measures and sit and reach performance was investigated by Cotten (1972a). His study presenting a summary of the literature concluded that measurements of trunk flexibility obtained by using the flexometer, bobbing test, or sit and reach test are largely unaffected by anthropometric variations among 10 individuals even when comparing groups with extreme anthropometric measures. Testing Devices The toe-touch tset has become a standard method of assessing an individual's hip joint (back and hamstring) flexibility. The sit and reach test has become its most common form since 1952 when Wells and Dillon, testing 100 is a subjects, obtained a coefficient of 0.90 indicating it valid test Their when compared to the standing toe-touch test. investigation also produced a reliability coefficient of 0.98 test. suggesting the sit and reach test is a highly reliable Other previously discussed researchers have reported reliability coefficients ranging from 0.84 to 0.98. A summary of this information is presented in Table I. TABLE I TEST-RETEST RELIABILITY OF THE SIT AND REACH TEST Test-Retest Subjects Author(s) (Date) Reliability Age Sex N Coefficient Wells & Dillon (1952) college female 100 0.98 (1957) college female 66 0.87 college 3rd-6th grade 19-24 yrs. female male 50 158 male 62 0.97 0.840.89 0.94 female 100 0.86- college female 38 freshmen male 37 Mathews et al. Broer & Galles (1958) Mathews et al. (1959) Wear (1963) Harvey & Scott (1967) Cotten (1972b) college college 0.98 0.88 11 Table I indicates that data collected from numerous studies agree that the sit and reach test is a reliable test instrument. The apparatus used for the sit and reach test in this investigation was a 12 inch by 12 inch box constructed in accordance with the directions in the AAHPERD Health Related Physical Fitness Test Manual (AAHPERD, 1980). A yardstick with centimeter gradations was attached to the top panel with the 23 centimeter mark exactly in line with the vertical panel against which the subject's feet were placed. The length of the yardstick extending beyond the end of the top panel was removed at the 52 centimeter mark. In attempting to determine the flexibility of the hamstring musculature independent of the back musculature, another means of measurement was required. The method selected required a commonly used goniometric instrument, Leighton flexometer. the It is a device that produces objective, valid, and reliable data in the measurements of ranges of movement of anatomical segments (Leighton, 1942, 1955, 1966). It is composed of a weighted 360 degree dial and pointer mounted in a case. independently, The dial and pointer operate freely and and gravity controls their movement. Inde- pendent locking devices for the pointer and dial stop the movement of either at any given position producing a measurement of the number of degrees of rotation in a range of joint motion. 12 Developed in 1942, Leighton's flexometer has endured the test of time and was most recently used in 1982 by Ekstrand, Wiktorsson, Oberg, and Gillquist in their investigation of the reliability of certain goniometric measurements. Twenty-two men aged 20 to 30 were tested on six joint motions of the lower extremity using a specially constructed double protractor goniometer and a modification of the Leighton flexometer. Their results showed both goniometric devices to be accurate and reliable in the measurement of joint motion. They also concluded that with methods requiring careful measurement technique, range of motion evaluation. can be repeated accurately without elaborate equipment. Numerous studies have cited the use of the Leighton flexometer. Hupprich and Sigerseth (1950) investigated flexibility in girls as a general factor or as specific to certain joints of the body and whether an advancement in age decreases flexibility. Using 300 girls ranging in age from 6 to 18 years, 12 measurements of flexibility were taken using the Leighton flexometer. Producing reliabilities above 0.90 for each measurement taken, Hupprich and Sigerseth (1950) reported coefficients of 0.958 and 0.972 for hip flexion-extension and trunk-hip flexion-extension respectively. Leighton's 1942 study which first presented his device and method for its use showed reliability coefficients of 0.977 and 0.997 for the same variables. With the exception of Mathews, Shaw, and 13 Bohnen (1957) who reported an objectivity coefficient of 0.88 for the Leighton flexometer, a number of other studies, including Broer and Galles (1958) and Laubach and McConville (1965a, 1965b) have found comparable reliability measure- ments above 0.90. Thirty-seven male and 38 female college freshmen served as subjects in a study by Cotten (1972b) using the Leighton flexometer. He compared four tests of trunk flexibility with the Leighton flexometer test for trunk flexibility. The four tests included the Cureton test, the modified sit and reach test, the Scott-French bobbing test, and the Wells sit and reach test. The Leighton flexometer produced test- retest reliabilities of 0.94 for men and 0.91 for women. The investigation also found the Leighton flexometer test correlated highest with the Wells sit and reach test and the modified sit and reach test. The correlations were 0.63, 0.64, 0.65, and 0.66 respectively. Munroe and Romance (1975) examined the relationship between selected Leighton flexibility tests in attempting to determine the minimum number of specific tests which would best reflect overall body flexibility. Sixty male college freshmen were given 10 individual tests. test-retest technique, Using a reliability coefficients between 0.95 and 0.98 were obtained for all tests, reliability for each test administered. indicating high 14 A summary of Leighton flexometer reliability coefficients for the studies discussed above is presented in Table II. TABLE II TEST-RETEST RELIABILITY OF THE LEIGHTON FLEXOMETER Subjects Test-Retest Author(s) (Date) Reliability Coefficient Age Sex N Leighton (1942) college N/A 56 Leighton (1955, 1966) 16 yrs. male 120 Hupprich & Sigerseth (1950 Mathews et al. (1957) 18 yrs. female 60 college female 66 Broer & Galles (1958) college female 50 Laubach & McConville (1965a) Laubach & McConville (1965b) 16-25 yrs. male 63 0.988 hip 0.979 trunk 17-35 yrs. male 45 0.97 0.99 hip trunk Munroe & Romance (1975) 17-23 yrs. 60 0.95 0.98 all tests female 38 0.92 trunk male 37 0.94 trunk male 22 N/A Cotten (1972b) Ekstrand et al. college 20-30 yrs. hip trunk all tests hip trunk objectivity 0.971 hip 0.977 0.977 0.913 0.996 0.958 0.972 0.88 (1982) Table II presents high reliability coefficients use of the Leighton flexometer in various flexibility studies. for the , mmilmmlowdlMormff, wim"'plis -Muwumft 15 Measurement of spinal mobility has only recently been accomplished by objective and reliable procedures. ously, Previ- the traditional method of assessment was achieved subjectively by judging the degree of spinal movement empirically without assigning the degree of movement a numerical value (Moll & Wright, 1976). Three semi-objective techniques of estimating the range of spinal flexion are endorsed by the American Academy of Orthopaedic Surgeons (AAOS, 1966). One technique locates the level the finger tips reach along the subject's leg during spinal flexion. In another the distance between the fingertips and the floor during forward flexion is measured. The third method endorsed is the use of a standard goniometer to estimate the degrees of forward inclination of the trunk in relation to the longitudinal axis of the body. Moll and Wright report that this method is not highly accurate. None of these methods measure the spine independent of the hamstring muscles. Of the few other methods developed to increase objectivity in determining spinal flexibility, most have proved unacceptable as routine clinical procedures. In addition to their expense and time consuming procedures the inaccuracy of Hart's serial photography (1956) and radiation exposure during the prone posteroanterior radiographic assessments of the spine as described by Kleinman, Csongradi, Rinksy, and Bleck (1982) cause these 16 The protractor photographic two methods to be inadequate. method of Troup, Hood, and Chapman1(1968) creates discomfort to the subject due to the extreme postures required while the measurements are taken. Special instrumentation is the disadvantage of Loebl's inclinometer (1967). Other special instrumentation includes the spondylometer of Dunham (1949) which is a protractor with two rods 16 inches in length that measures the difference between spine flexion and extension. The spinal pantograph of Willner (1983) is a pantograph with an elongation of one of its arms. The contour line of the spine is drawn by the pantograph arm on a paper roll fixed on a drawing table that is mounted on a tripod. The most practical technique to date was developed by Macrae and Wright (1969) using a tape measure. They modified a method first described by Schober (1937) and endorsed by the American Academy of Orthopaedic Surgeons (AAOS, 1966). In this method the increase in the degree of spread between spinous processes during flexion was used to determine anterior flexion of the lumbar spine. dure, as the subject stood erect, In Schober's proce- the lumbosacral junction was identified and marked, and a second mark was placed 10 centimeters above it. The subject then bent forward as far as possible and the distance between the marks was measured. Macrae and Wright (1969), modified the Schober method by adding a third mark 5 centimeters below the lumbosacral 17 junction giving a distance of 15 centimeters between the outermost marks with the subject in the erect position. The lower mark was added due to the observation that both marks of Schober's procedure moved upwards relative to the spinous processes on anterior flexion, and the skin was poorly fastened to the deep structures over the lumbar spine and sacrum. The skin seemed relatively well tethered from the coccygeal area and appeared to stretch from that point. A second anterior flexion measure was then taken of the distraction of skin between the marks 5 centimeters below and 10 centimeters above the lumbosacral junction. The distraction between these two marks was found to have a correlation coefficient of 0.97 when compared to anterior flexion measured radiologically. Data was collected from 195 females and 147 males. Further radiographic examination showed that clinical identification of the lumbosacral junction was subject to an error of approximately 2 centimeters. To determine if this interfered with the accuracy of the test, several subjects were marked in the usual manner and a second set of three marks were placed either 2 centimeters above or below the original marks. Placing the marks 2 centimeters too high caused an underestimate of 5 degrees, and placing the marks 2 centimeters too low caused an overestimate of' 3 degrees. movement. The test was shown to be independent of hip 18 The American Academy of Orthopaedic Surgeons (AAOS, 1966) found a variation of the Schober procedure to be the most accurate clinical method of estimating true spine motion in flexion. With the patient standing, the one inch marker of a steel or plastic tape measure was held over the spinous process of the seventh cervical vertebra and the distal tape held over the spinous process of the first sacral vertebra. It was found that during forward flexion, length- ening of the tape measure increased on the average of 4 inches in the normal healthy adult. Other researchers have used the simple procedure of Macrae and Wright (1969) to determine anterior flexion. Moll and Wright (1971), in their development of a range of normal values for spinal mobility measured by objective clinical methods, employed this technique. They had a total of 237 normal subjects in a family study which included 119 males and 118 females. Adrichem and Korst (1973) in their assessment of lumbar spine flexibility modified the procedure of Macrae and Wright tion, (1969). Locating and marking the lumbosacral junc- they then placed four additional marks 5, 20 centimeters above the first mark. 10, 15, and A steel tape measure pressed against the skin was used to determine the location of the four additional marks. The subject then bent forward and the distraction between the lowest mark and each of the four other marks was measured. The measurements were also 19 made using a vernier caliper rule. 248 subjects aged 6 to 18 years, By studying a group of they found the steel tape rule to be a handier measuring device than the caliper. In summary, a review of the literature revealed several studies which found no significant relationship between flexibility and anthropometric measurements or somatotypes. One study investigated the relative contribution of back and hamstring musculature to flexibility of the hip joint but did not quantify their contributions or relate the findings to the scores of a toe-touch test. The sit and reach test was found to consistently pro- duce high reliability and validity coefficients in studies which evaluate hip joint flexibility. Likewise, the Leighton flexometer repeatedly proved to be an objective, valid, and reliable testing device in the measurement of ranges of anatomical segments. The test of spinal movement which could be performed most rapidly and easily with little inconvenience to the subject entailed the measurement of the distraction of skin marks over the spine with an ordinary plastic tape measure. While the technique is simple to perform, it produces reliable and valid data. It is a feasible and practical procedure to use in routine clinical evaluations and certain field study situations. CHAPTER REFERENCES (1973). Adrichem, J. A. M. van, & KorstJ. K. van der. Assessment of the flexibility of the lumbar spine. Scandinavian Journal of Rheumatology, 2, 87-91. (1966). Joint American Academy of Orthopaedic Surgeons. Edinburgh: motion: Method of measuring and recording. Livingstone. American Alliance for Health, Physical Education, Recreation, (1980). AAHPERD health related physical and Dance. fitness test manual. Washington, D. C.: AAHPERD. Importance of (1958). Broer, M. R., & Galles, N. R. G. relationship between various body measurements in perThe Research Quarterly, formance of the toe-touch test. 29(2), 253-263. (1972a). Selected anthropometric measures Cotten, D. J. and trunk flexibility measurement--a study. Journal of Physical Education, 70, 260-262. (1972b). A comparison of selected trunk Cotten, D. J. flexibility tests. American Corrective Therapy Journal, 26, 24-26. (1949). Ankylosing spondylitis: Measurement Dunham, W. F. of hip and, spinal movements. British Journal of Physical Medi c ine , 12, 126-129. Ekstrand, J., Wiktorsson, J., Oberg, B., & Gillquist, J. (1982). Lower extremity goniometric measurements: A study to determine their reliability. Archives of Physical Medicine and Rehabilitation, 63, 171-175. (1968). Effects of selected extensibility Fieldman, H. exercises on the flexibility of the hip joint. The Research quarterly, 37, 326-331. & (1956). Measurement of thoracic and spinal Mart, F. D. In J. Goslings movement in ankylosing spondylitis. H. van Swaay (Eds.), Conporary rheumatology (p. 562). Amsterdam: Elsevier. 20 21 Harvey, V. P., & Scott, G. D. Reliability of a (1967). measure of forward flexibility and its relation to physical dimensions of college women. Quarterly, 38(1), 28-33. Hupprich, F. L., & Singerseth, P. 0. (1950). The specificity The Research Quarterly, 21, 25- of flexibility in girls. 33. Kleinman, R. G., Csongradi, The Research J. J., Rinksy, L. A., & Bleck, The radiographic assessment of spinal (1982). E. E. A study on the efficacy of the flexibility in scoliosis: prone push film. Clinical Orthopaedics and Related Research, 162, 47-53. (1954). Minimum muscular Kraus, H., & Hirschland, R. P. fitness tests in school children. The Research Quarterly, 25, 178-188. (1965a). Relationships Laubach, L. L., & McConville, J. T. between flexibility, anthropometry, and the somatotype of college men. The Research Quarterly, 37(2), 241-251. Laubach, L. L., & McConville, J. T. (1965b). Muscle strength, flexibility, and body size of adult males. The Research Quarterly, 37(3), 384-392. (1942). A simple objective and relilable Leighton, J. R. measure of flexibility. The Research Quarterly, 13, 205-216. Leighton, J. R. (1955). An instrument and technic for the measurement of range of joint motion. Archives of Physical Medicine and Rehabilitation, September, 571578. Leighton, J. R. (1966). The Leighton flexometer and flexibility test. Journal of the Association for Physical and Mental Rehabilitation, 20(3), 86-93. Measurements of spinal posture and (1967). Loebl, W. Y. Annals of Physical Medicine, range of spinal movement. 9(3), 103-110. Measurement of back (1969). Macrae, 1. F., & Wright, V. Annals of the Rheumatic Diseases, 28, 584movement. 589. Hip (1957). Mathews, D. K., Shaw, V., & Bohnen, M. of length flexibility of college women as related to 352-356. 28(4), Quarterly, The Research body segments. 22 Mathews, D. K., Shaw, & Woods, J. B. (1959). Hip flexibility of elementary school boys as related to body segments. The Research Quarterly, 30(3), 297-302. Moll, J., & Wright, V. (1976). Measurement of spinal movement. In E. Jayson (Ed.), The lumbar spine and back pain (pp. 93-112). New York: Grune & Stratton. Moll, J. M. H., & Wright, V. (1971). Normal range of spinal mobility. Annals of the Rheumatic Diseases, 30, 381-386. Munroe, R. A., & Romance, T. J. (1975). Use of the Leighton flexometer in the development of a short flexibility test battery. American Corrective Therapy Journal, 29(1), 22-25. Schober, P. (1937). Lendenwirbelsaule und kreuzschemerzen (The lumbar verbebral column and backache). Munch. Med. Wschr., 84, 336. Troup, J. D. G., Hood, C. A., & Chapman, A. E. (1968). Measurements of the sagittal mobility of the lumbar spine and hips. Annals of Physical Medicine, 9, 308. Wear, C. L. (1963). Relationship of flexibility measurements to length of body segments. The Research Quarterly, 34(2), 234-238. Wells, K. F., & Dillon, E. K. (1952). A test of back and leg flexibility. Quarterly, 23, 115-118. The sit and reach-The Research Willner-, S. (1983). Spinal pantograph--A noninvasive anthropometric device for describing postures and asymmetries of the trunk. Journal of Pediatric Orthopedics, 3(2), 245-249. I- -Kft MD; CHAPTER III PROCEDURES OF THE STUDY This study will assist in more clearly defining the components measured by the AAHPERD sit and reach test. Further clarification of this testing instrument is important due to the tremendous number of students whose flexibility is being evaluated by this process. The procedures presented in this chapter have been designed to provide maximum reliability in collecting the data necessary to achieve the purposes described in Chapter I. Subjects Permission was obtained from the Dallas Independent School District to test 90 female students 13 to 15 years of age as a part of their regular physical education class. Sixty subjects were students of North Dallas High School. The remaining 30 subjects attended Spence Middle School. An additional 10 subjects of the same age group, who had participated in the pilot study the previous September, were included in the total sample of 100 subjects. Approximately 15 minutes were required to evaluate each subject allowing three students to be tested per class period. Four days of testing were required at North Dallas High School where, during five class periods, 15 subjects were evaluated daily 23 24 Tests were in the physical education teacher's office. administered in the nurse's office at Spence Middle School where testing was completed in two days. Testing began January 30 and was completed February 15, 1985. Data was collected on female subjects due to the tester being female and to the sensitive and personal area of the anatomy on which marks were placed and movements measured. Procedures were carefully explained to the subjects as the tests were performed. Age, height, and weight were the descriptive information obtained and are listed in Table III. TABLE III SUBJECT DESCRIPTIVE STATISTICS Variable Mean Standard Deviation Age 14.08 .825 Height (inches) 61.49 2.791 Weight (pounds) 112.64 20.391 Methods Warm-up. Subjects wore gym shorts and t-shirts. As recommended by the AAHPERD Health Related Physical Fitness Test Manual (1980), warm-up time was provided to improve the reliability and validity of the tests. In the first exercise 15 jumping jacks were performed so that blood flow 25 was increased to the extremities, and body temperature was elevated to facilitate muscle fiber extensibility. The starting position for the second exercise was in the squat position with the palms of the hands flat on the floor and the hips, knees, and lumbar spine flexed. As the abdominal musculature tightened in this cat stand stretch, the knees slowly extended, and the palms remained on the floor if possible, providing slow sustained static stretching of the low back and hamstring musculature. The position was held 15 seconds. To improve the validity of data collected subjects were measured in a counter balanced fashion. That is, the first subject was tested in the order of sit and reach test, flexometer hamstring measures, and spine measures. The second subject was tested in the order of flexometer hamstring measures, spine measures, and sit and reach test. The third subject was tested in the order of spine measures, sit and reach test, and flexometer hamstring measures. Then the procedure was repeated. Sit and reach. The sit and reach test was performed according to the instructions given in the AAHPERD Test Manual. The starting position was seated at the test apparatus, knees fully extended, and flat against the end board. feet shoulder-width apart The test apparatus was placed against a wall to prevent it from sliding away from 26 the subject during the test. Arms were extended forward with the hands placed on top of each other, palms down. The subject reached forward along the measuring scale four times and held the position of maximum reach on the fourth attempt for one second. The measuring scale of the test apparatus had the 23 centimeter mark at the level of the feet. The most distant point reached on the fourth attempt, measured to the nearest centimeter, was the score. the subject's knees remained extended, To ensure that. the tester placed one hand on the subject's knees while remaining close to the scale as she observed the most distant line touched by the fingertips of both hands. If the hands reached out unevenly or the knees flexed during the trial, repeated. the fourth attempt was A second trial was completed. (See Figure 1 in Appendix.) Leighton flexometer measures. by Ekstrand, Wiktorsson, Oberg, Using a method described and Gillquist evaluation of hamstring flexibility was made. position was supine on a mat, (1982), an The starting low back and opposite leg flat against the mat, each immobilized by a strap. A point was located 5 centimeters above each patella and marked with a ball-point pen. The flexometer, which records measurements in degrees, was fastened on the lateral side of the thigh with the distal edge of the strap at the level of the mark. The leg was relaxed on the mat and the dial locked at zero. 27 Slowly the tester raised the leg as far as possible placing Then the reading one hand on the knee to keep it straight. was taken. Then the proce- A second trial was completed. dure was repeated for the opposite leg. (See Figure 2 in Appendix.) Spine measures. Spinal mobility was measured in centimeters with a plastic tape measure using the method of Macrae and Wright (1969). The subject stood erect while the lumbosacral junction was identified as described by Brunnstrom (1983), by locating the intersection of a line joining the dimples of Venus and the spine. was then used to mark the intersection. A ball-point pen Additional marks were placed 5 centimeters below and 10 centimeters above the lumbosacral junction. A fourth mark was placed at the seventh cervical vertebra, as directed by Brunnstrom. Each subject was reminded to stand up straight with her head retracted in alignment with the spine. the two upper marks was measured. was taken. The distance between A second trial measurement The subject then sat and bent forward as in the performance of the sit and reach test. With the chin tucked toward the chest the distraction between the lowest mark and the seventh cervical vertebra (the total back) and the lowest mark and the 10 centimeter mark above the lumbosacral junction (the lower back) were measured with the tape measure, the distance representing measures of anterior flexion. second trial was completed. (See Figure 3 in Appendix.) A 28 Pilot Study A pilot study was conducted to determine the reliability of the testing procedures. Ten females, aged 13 to 15, were measured on the tests with the procedures previously delineated. Reliabilities were very acceptable ranging from 0.83 to 0.97. These compare favorably to reliabilities reported in past literature, which are presented in Table I and Table II. Data Analysis Correlation and linear regression were used to analyze the data. A battery of descriptive statistics defining age, height, and weight was developed on 100 subjects and is presented in Table III. CHAPTER REFERENCES American Alliance for Health, Physical Education, Recreation, and Dance. (1980). AAHPERD health related physical AAHPERD. Washington, D. C.: fitness test manual. Brunnstrom, S. (rev. ed.). (1983). Brunnstrom's clinical kinesiology Philadelphia: F. A. Davis Company. Ekstrand, J., Wiktorsson, J., Oberg, B., & Gillquist, J. (1982). Lower extremity goniometric measurements: A study to determine their reliability. Archives of Physical Medicine and Rehabilitation, 63, 171-175. McRae, I. F., movement. 589. & Wright, V. (1969). Measurement of back Annals of the Rheumatic Diseases, 28, 584- CHAPTER IV RESULTS This chapter presents the statistical analysis conducted to achieve the purposes stated in Chapter I. The results include reliability estimates, descriptive statistics, and pertinent correlations. Reliability of Data Two trials were performed by 100 subjects for each variable measured. A correlation was calculated between the trials to provide estimates of reliability. The reliability estimates are presented in Table IV. TABLE IV TEST-RETEST RELIABILITY ESTIMATES FOR THE VARIABLES MEASURED IN THE STUDY Test-Retest Reliability Variable Coefficient Sit and Reach................... Right Hamstring . Left Hamstring . . . . . . . . . . . Upper Back (Standing) Upper Back (Stretched) Lower Back (Stretched) Total Back (Stretched) . . . . . . . . . . . . . . . . . . . . . . . . . . . 0.99 . . ... . . . . . 0.97 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0.97 ... 0.98 . . . . . . 0.99 0.97 0.99 Table IV indicates high reliability was achieved for the measurements used in this study since maximal reliability is 1.0. 30 31 Descriptive Statistics The basic descriptive statistics calculated for all variables included the mean, the standard deviation. standard error of the mean, and The statistics presented in Table V are based on the average performance of each subject over both trials of the test. TABLE V DESCRIPTIVE STATISTICS Variable Standard Error Mean Sit and Reach Right Hamstring Left Hamstring Upper Back (Standing) Upper Back (Stretched) Lower Back (Stretched) Total Back (Standing) Total Back (Stretched) Standard of the Mean Deviation 6.541 16.405 15.234 2.368 3.183 1.321 2.368 3.345 15.372 1.451 1.321 1.844 32.758 116.350* 113.7600 32.286 37.747 22.196 47.286 59.944 cm cm cm cm cm cm .654 1.641 1.523 .237 .318 .132 .237 .335 113.777 5.461 7.196 12.658 cm cm cm cm 1.537 .145 .132 .184 Right & Left Hamstring Average Change* Upper Back Change* Lower Back Change* Total Back *Difference in standing and stretched positions. Correlational Results Pearson correlation coefficients were used to determine the relationship between the sit and reach test and hamsstring flexibility and between the sit and reach test and back flexibility. The results listed in Table VI are based 32 on the average performance of each subject over two trials of the test. TABLE VI PEARSON CORRELATION COEFFICIENTS BETWEEN THE SIT AND REACH TEST AND OTHER VARIABLES Correlation Coefficient Variable Reach Reach Reach Reach and and and and Right Hamstring. ....... Left Hamstring Right & Left Hamstring Average Upper Back (Standing) .... *... Sit & Reach and Upper Back Sit Sit Sit Sit & & & & Reach Reach Reach Reach and and and and (Stretched) . . & & & & Total Back (Stretched) Changed Upper Back Changed Lower Back Changed Total Back . . Sit Sit Sit Sit .5906* .6457* .6417* .0996 .0020 .1115 S.1581 .2777* .0745 *p K .05. Cross Validation of Correlations In order to determine the stability of the correlational results between the sit and reach test to hamstring flexibility and between the sit and reach test to back flexibility, a subsample (N = 54) of approximately 50% of the total subjects was randomly selected and correlation statistics were recalculated using the Pearson method. The results are presented in Table VII. Correlational results of the subsample, when compared to results of the original sample, are similar and demonstrate high correspondence in the two sets of relationships. This indicates a stable pattern of similar correlations would 33 be found in further subsequent samples from the same population. TABLE VII CROSS VALIDATION OF CORRELATIONS BETWEEN THE SIT AND REACH TEST AND OTHER VARIABLES Correlation Coefficient Variable Sit Sit Sit Sit Sit Sit Sit Sit Sit & & & & & & & & & Reach Reach Reach Reach Reach Reach Reach Reach Reach and and and and and and and and and *p < .05. Right Hamstring ... ...... 5792* Left Hamstring. . ........ .6306* Right & Left Hamstring Average .. 6220* Upper Back (Standing)... . .... . .1853 Upper Back (Stretched)...0. . .. 0531 Total Back (Stretched)...... ... 1993 Changed Upper Back.......... . 2163* Changed Lower Back. . ....... 3811* Changed Total Back . ...... 1167 CHAPTER REFERENCES (1970). Research processes in physical Clarke, D. H. Englewood Cliffs, and health. recreation, education, New Jersey: Prentice-Hall, Inc. 34 CHAPTER V DISCUSSION AND CONCLUSIONS OF THE STUDY Due to the high validity correlation (0.90) found by Wells and Dillon (1952) between the sit and reach test and the toe-touch test, the sit and reach test was chosen by the American Alliance of Health, Physical Education, Recreation, and Dance to become the criterion measure used to evaluate the flexibility of the low back and posterior thigh (AAHPERD, 1980). Since the relative contribution of low back flexibility and hamstring flexibility to sit and reach test scores has not been quantified, of this study to do so. it was the purpose The need to further examine the influence of these variables on such a widely used criterion measure prompted the undertaking of the investigation. The results of the study indicated that hamstring flexibility was moderately related to the sit and reach test with correlation coefficients of 0.590 and 0.645. The low back, with a very low correlation of 0.277, had the highest relationship of the six back flexibility measures to the sit and reach test. The findings show that low back and posterior thigh flexibility are not significantly related to the sit and reach test scores. This suggests that the sit and reach test is an inadequate measure of low back and hamstring flexibility. 35 36 When compared to the maximal reliability coefficient of 1.0, testing procedures used in this study were found to be highly reliable. The sit and reach, back flexibility, and hamstring flexibility measures demonstrated reliability coefficients from 0.97 to 0.99. The sit and reach test- retest reliability coefficient of 0.99 agrees with 0.98 found by Wells and Dillon (1952) and is comparable to those obtained in other investigations including Mathews et al. (1957), Broer and Galls (1958), Wear (1963), Harvey and and Cotten (1972). Scott (1967), The reliability estimates of the right and left hamstring were 0.97 each. Although Ekstrand (1982), whose method of hip flexion evaluation was used in this study, did not report test-retest reliabilities, the findings do concur with those obtained by previous researchers, Leighton (1942, 1955, 1966), Hupprich and Sigerseth (1950), McConville (1965a, Cotten (1972). 0.97 to 0.99. Broer and Galles (1958), Laubach and 1965b), Munroe and Romance (1975), and Spine flexibility reliabilities ranged from These statistics were not reported in the findings of previous studies. The average sit and reach test performance of this investigation proved to be very comparable to the 50 percentile norms of the AAHPERD Health Related Fitness Test. The norms reported for the AAHPERD sit and reach test were 31 cm for girls 13 years old, 33 cm for girls 14 years old, and 36 cm for girls 15 years old (AAHPERD, 1980). The 37 average of the sit and reach performance of this study was found to have a similar average of 32.758 cm for girls of the same age group. Low back flexibility is important to good health, and from the results of this study it cannot be adequately evaluated by the sit and reach test. A more accurate method of specifically measuring back flexibility is the procedure described in this investigation, a variation of which is recommended by the American Academy of Orthopaedic Surgeons (AAOS, 1966) as the most accurate clinical method of measuring true motion of the spine in flexion. Its administration is simple, requiring approximately 3 minutes to perform and only a tape measure and ball-point pen for equipment. This method of assessing spine flexibility is especially appropriate in a clinical setting. Due to the nature of the test two factors need to be considered in its administration in field situations. The first concerns the placement of markings on the anatomy. Due to the personal area of the body on which markings are placed and movements measured, this procedure may be awkward to utilize in a school situation. Women would be able to administer the test to girls and in certain situations to boys. It would only be suitable for men when administering the test to boys. the procedure must be carefully the test is being performed. In either case explained to the subject as The second factor of concern 38 in the administration of this test is the time requirement. In testing large groups of subjects this procedure of approximately 3 minutes each may require too much time. Conclusions In conclusion, (1) the sit and reach test was found in this study to have a moderate relationship to criterion measures of hamstring flexibility; (2) it was also found to be an invalid measure of low back flexibility; and (3) by using a tape measure to determine the degree of spread between spinous processes during flexion as described in this investigation and recommended by the American Academy of Orthopaedic Surgeons (AAOS, 1966), a valid method of measuring spine flexibility is possible. Recommendations The findings of this investigation are generalizable to girls 13 to 15 years of age. It would be necessary to examine the flexibility scores of boys of the same age group in a similar study. different age groups. Further investigations might include Another recommendation for further study is the development of a technique for assessing low back flexibility which can be quickly administered in a field situation. CHAPTER REFERENCES American Academy of Orthopaedic Surgeons. motion: (1966). Method of measuring and recording. Joint Edinburgh: Livingstone. American Alliance for Health, Physical Education, Recreation, AAHPERD health related physical (1980). and Dance. AAHPERD. Washington, D. C.: fitness test manual. Broer, M. R., & Galles, N. R. G. (1958). Importance of relationship between various body measurements in performThe Research Quarterly, 29(2), ance of the toe-touch test. 253-263. A comparison of selected trunk (1972). Cotten, D. J. American Corrective Therapy Journal, flexibility tests. 26, 24-26. Ekstrand, J., Wiktorsson, J., Oberg, B., & Gillquist, Lower extremity goniometric measurements: (1982). J. A study to determine their reliability. Archives of Physical Medicine and Rehabilitation, 63, 171-175. Harvey, V. P., & Scott, G. D. (1967). Reliability of a measure of forward flexibility and its relation to physical dimensions of college women. The Research Quarterly, 38(1), 28-33. (1950). The specificity Hupprich, F. L., & Sigerseth, P. 0. Research Quarterly, 21, 25The of flexibility in girls. 33. Laubach, L. L., & McConville, J. T. (1965a). Relationships between flexibility, anthropometry, and the somatotype of college men. The Research Quarterly, 37(2), 241-251. Laubach, L. L., & McConville, J. T. (1965b). Muscle strength, flexibility, and body size of adult males. The Research Quarterly, 37(3), 384-392. (1942). A simple objective and reliable Leighton, J. R. The Research Quarterly, 13, measure of flexibility. 205-216. An instrument and technic for the (1955). Leighton, J. R. measurement of range of joint motion. Archives of Physical Medicine and Rehabilitation, September, 571-578. 39 40 Leighton, J. R. (1966). The Leighton flexometer and flexibility test. Journal of the Association for Physical and Mental Rehabilitation, 20(3), 86-93. Mathews, D. K., Shaw, V., & Bohnen, M. (1957). Hip flexibility of college women as related to length of body segments. The Research Quarterly, 28(4), 352-356. Munroe, R. A., & Romance, T. J. (1975). Use of the Leighton flexometer in the development of a short flexibility test battery. American Corrective Therapy Journal, 29(1), 22-25. Wear, C. L. (1963). Relationship of flexibility measurements to length of body segments. The Research Quarterly, 34(2), 234-238. Wells, K. F., & Dillon, E. K. (1952). a test of back and leg flexibility. Quarterly, 23, 115-118. The sit and reach-The Research 41 APPENDIX 0) C) Co W -- W" PbAJ 42 c -Lj Pr) 4 43 Nz -- 40 Or :low- UAL A AS LL '&IL 4H E4J N C Q) (Y) 0) 'H oU) 44 VtZZ~~to' --- lit- \SS,44- T|M i'elrrM <m.-A.s r-mw:o nts,., noa-.-3 3-. s W *W'A"'' .., ; -.,.. -----.- --m-e - ----r- -, ,- -. , IM " a REFERENCES Adrichem, J. A. M. van, & Korst, J. K. van der. (1973). Assessment of the flexibility of the lumbar spine. Scandinavian Journal of Rheumatology, 2, 87-91. American Academy of Orthopaedic Surgeons. (1966). motion: Method of measuring and recording. Livingstone. Joint Edinburgh: American Alliance for Health, Physical Education, Recreation, and Dance. (1980). AAHPERD health related physical fitness test manual. Washington, D. C.: AAHPERD. American Alliance for Health, Physical Education, and Dance. (1984). fitness technical manual. Broer, M. Recreation, AAHPERD health related physical Washington, R., & Galles, N. R. G. (1958). D. C.: AAHPERD. Importance of relationship between various body measurements in performance of the toe-touch test. The Research Quarterly, 29(2), 253-263. Brunnstrom, S. (rev. ed.). Clarke, D. H. (1983). Brunnstrom's clinical kinesiology Philadelphia: (1970). F. A. Davis Company. Research processes in physical education, recreation, and health. New Jersey: Prentice-Hall, Englewood Cliffs, Inc. Cotten, D. J. (1972a). Selected anthropometric measures and trunk flexibility measurement--a study. Journal of Physical Education, 70, 260-262. Cotten, D. J. (1972b). A comparison of selected trunk flexibility tests. American Corrective Therapy Journal, 26, 24-26. Dunham, W. F. (1949). Ankylosing spondylitis: of hip and spinal movements. Measurement British Journal of Physical Medicine, 12, 126-129. Ekstrand, J.., Wiktorsson, J., Oberg, B., & Gillquist, J. (1982). Lower extremity goniometric measurements: A study to determine their reliability. Archives of Physical Medicine and Rehabilitation, 63, 171-175. 44 45 Fieldman, H. (1968). Effects of selected extensibility exercises on the flexibility of .the hip joint. The Research Quarterly, 37, 326-331. & Hart, F. D. (1956). Measurement of thoracic and spinal movement in ankylosing spondylitis. In J. Goslings H. van Swaay (Ed.), Contemporary rheumatology (p. 562). Amsterdam: Elsevier. Harvey, V. P., & Scott, G. D. (1967). Reliability of a measure of forward flexibility and its relation to physical dimensions of college women. The Research Quarterly, 38(1), 28-33. Hupprich, F. L., & Sigerseth, P. 0. (1950). The specificity of flexibility in girls. The Research Quarterly, 21, 2533. Kleinman, R. G., Csongradi, J. J., Rinksy, L. A., & Bleck, E. E. (1982). The radiographic assessment of spinal flexibility in scoliosis: A study on the efficacy of the prone push film. Clinical Orthopaedics and Related Research, 162, 47-53. Kraus, H., & Hirschland, R. P. (1954). Minimum muscular fitness tests in school children. The Research Quarterly, 25, 178-188. Laubach, L. L., & McConville, J. T. (1965a). Relationships between flexibility, anthropometry, and the somatotype of college men. Laubach, L. The Research Quarterly, 37(2), 241-251. L., & McConville, J. T. (1965b). Muscle strength, flexibility, and body size of adult males. The Research Quarterly, 37(3), 384-392. Leighton, J. R. (1942). measure of flexibility. 205-216. A simple objective and reliable The Research Quarterly, 13, Leighton, J. R. (1955). An instrument and technic for the measurement of range of joint motion. Archives of Physical Medicine and Rehabilitation, September, 571-578. Leighton, J. R. (1966). The Leighton flexometer and flexibility test. Journal of the Association for Physical and Mental Rehabilitation, 20(3), 86-93. Loebl, W. Y. (1967). Measurements of spinal posture and range of spinal movement. Annals of Physical Medicine, 9(3), 103-110. 46 Measurement of back (1969). Macrae, I. F., & Wright, V. Annals of the Rheumatic Diseases, 28, 584movement. 589. Mathews, D. K., Shaw, V., & Bohen, M. (1957). Hip flexibility of college women as related to length of body segments. The Research Quarterly, 28(4), 352-356. Mathews, D. K., Shaw, V., & Woods, J. B. (1959). Hip flexibility of elementary school boys as related to body segments. The Research Moll, J., & Wright, V. movement. In E. Quarterly, (1976). 30(3), 297-302. Measurement of spinal Jayson (Ed.), The lumbar spine and New York: back pain (pp. 93-112). Grune & Stratton. (1971). Normal range of Moll, J. M. H., & Wright, V. spinal mobility. Annals of the Rheumatic Diseases, 30, 381-386. Munroe, R. A., & Romance, T. J. (1975). Use of the Leighton flexometer in the development of a short flexibility test battery. American Corrective Therapy Journal, 29(1), 22-25. Pate, R. R. (1982). Health related physical fitness. Journal of Physical Education, Recreation, and Dance. October, 63. Pate, R. R. (1983). A new definition of youth fitness. The Physician and Sprotsmedicine, 11(4), 77-83. Lendenwirbelsaule und kreuzchemerzen (1937). Schober, P. Munch. (The lumbar vertebral column and backache). Med. Wschr., 84, 336. (1968). Troup, J. 1). G., Hood, C. A., & Chapman, A. E. Measurements of the sagittal mobility of the lumbar spine and hips. Wear, C. L. (1963). Annals of Physical Medicine, 9, 308. Relationship of flexibility measure- ments to length of body segments. 34(2), The Research Quarterly, 234-238. (1952). Wells, K. F., & Dillon, E. K. A test of back and leg flexibility. The sit and reach-The Research Quarterly, 23, 115-118. Spinal pantograph--A noninvasive (1983). Willner, S. anthropometric device for describing postures and Journal of Pediatric Orthoasymmetries of the trunk. pedics, 3(2), 245-249.
© Copyright 2026 Paperzz