Reliability, sensitivity to change, and responsiveness of the Peabody Developmental Motor Scales--Second Edition for children with cerebral palsy.During the past 20 years, physical therapists have had considerable interest in the development and evaluation of health status outcome measures. (1) Outcome measures are used by researchers and clinicians to assess changes in patients' abilities before and after health care to promote the accountability of health care services. (2) Outcome measures must have the psychometric psy·cho·met·rics n. (used with a sing. verb) The branch of psychology that deals with the design, administration, and interpretation of quantitative tests for the measurement of psychological variables such as intelligence, aptitude, and properties of reliability and responsiveness. (3-5) The low intrasubject variation in stable subjects reflects the test-retest reliability test-retest reliability Psychology A measure of the ability of a psychologic testing instrument to yield the same result for a single Pt at 2 different test periods, which are closely spaced so that any variation detected reflects reliability of the instrument of a measure. (3) Only measures with high test-retest reliability can detect real change and reduce the bias caused by measurement error. The responsiveness of a measure is defined as the ability to assess clinically important change over time. (6) Thus, evidence supporting the test-retest reliability and responsiveness of an outcome measure must be established before its use in research or clinical settings. Cerebral palsy cerebral palsy (sərē`brəl pôl`zē), disability caused by brain damage before or during birth or in the first years, resulting in a loss of voluntary muscular control and coordination. (CP) describes a group of disorders of the development of movement and posture, causing activity limitation, that are attributed to nonprogressive disturbances that occurred in the developing fetal fetal /fe·tal/ (fe´tal) of or pertaining to a fetus or the period of its development. fe·tal adj. Of, relating to, or being a fetus. or infant brain. (7) To evaluate the effectiveness of treatment for the motor domain, clinicians need a motor evaluative tool. The Gross Motor Function Measure (GMFM GMFM Gross Motor Function Measure GMFM Gauss-Markov Fading Model ) (8) and the Peabody Developmental Motor Scales (PDMS (Product Data Management System) See PDM. ) (9) are the 2 most well-known motor instruments for children with CP. However, the GMFM measures the gross motor domain only. (8) For measurement of the fine motor domain, the GMFM is inadequate as an evaluative tool. A previous responsiveness study with the gross motor (GM) composite of the PDMS (PDMS-GM PDMS-GM Peabody Developmental Gross Motor Scale ) for infants with CP showed that the PDMS-GM had limitations when used as an evaluative measure for infants with CP. (10) The PDMS has been revised to the Peabody Developmental Motor Scales-Second Edition (PDMS-2), with new norms, revised testing materials, more precise scoring criteria, and more information on norm samples. (11) Each item of the PDMS-2 was evaluated with both conventional item analyses and modern differential item functioning Differential item functioning (DIF) occurs when people from different groups (commonly gender or ethnicity) with the same latent trait (the same ability/skill) have a different probability of giving a certain response on a questionnaire or test. analyses to select the appropriate items. New normative nor·ma·tive adj. Of, relating to, or prescribing a norm or standard: normative grammar. nor data on the PDMS-2 were collected through 1997 and 1998 for a sample of 2,003 children residing in the United States United States, officially United States of America, republic (2005 est. pop. 295,734,000), 3,539,227 sq mi (9,166,598 sq km), North America. The United States is the world's third largest country in population and the fourth largest country in area. and Canada; not only children without disabilities but also 10% of children with various types of disabilities were included in the sample. There are also more reliability and validity data for the PDMS-2 than for the PDMS. (11) Therefore, the PDMS-2 is potentially appropriate for investigating the progress of the gross and fine motor domains for children with CP because it assesses both GM and fine motor (FM) composites and incorporates both quantitative and qualitative rating criteria. The concurrent validity concurrent validity, n the degree to which results from one test agree with results from other, different tests. studies of the standard scores on the PDMS-2 showed high correlations with the PDMS or the Mullen Scales of Early Learning: AGS AGS American Geriatrics Society. Edition in the GM or the FM composite (r = .80-.91) for children for whom detailed information on health conditions was not available. (11) For children with developmental delays developmental delay n. A chronological delay in the appearance of normal developmental milestones achieved during infancy and early childhood, caused by organic, psychological, or environmental factors. , although the developmental quotients (DO) of the PDMS-2 were significantly correlated with the Bayley Scales of Infant Development-Second Edition, the classification agreement between these 2 tests was poor. (12) The construct validity construct validity, n the degree to which an experimentally-determined definition matches the theoretical definition. of the PDMS-2 was established by confirmatory factor analyses Verb 1. factor analyse - to perform a factor analysis of correlational data factor analyze analyse, analyze - break down into components or essential features; "analyze today's financial market" , and the results showed that the GM and the FM composites are 2 separate constructs within general movement. Another construct validity study of the PDMS-2 demonstrated high correlations between age and subtest raw scores. (11) One recent study (13) showed that the overall diagnostic accuracy of the PDMS-2 was high, with an area under the receiver operating characteristic curve receiver operating characteristic curve see roc curve. of 0.98 for children with motor disabilities. These results indicate that clinicians could diagnose motor disabilities correctly 98% of the time with the test results of the PDMS-2. (14) One of the purposes of the PDMS-2 is to evaluate a child's progress after intervention. (11) However, norm-referenced motor assessments should not be used as evaluative measures until they are validated to have acceptable responsiveness for children with motor dysfunction dysfunction /dys·func·tion/ (dis-funk´shun) disturbance, impairment, or abnormality of functioning of an organ.dysfunc´tional erectile dysfunction impotence (2). . (4) Because the responsiveness of the PDMS-2 for children with CP is still unknown, one purpose of this study was to investigate the responsiveness of the PDMS-2 for children with CP. The reliability of PDMS-2 scores was investigated by the test developers. In their study, 3 types of error variance--internal consistency, test-retest reliability, and interscorer reliability--were investigated. All of the reliability coefficients for 3 composites and 6 subtests of the PDMS-2 (Cronbach [alpha] = .89-.97, test-retest r = .82-.93, and interscorer r = .96-.99) showed that the PDMS-2 is a reliable tool for the assessment of motor development in children. (11) However, only children without disabilities were recruited for that reliability study. Because the reliability levels may vary for different populations, (15) the reliability of PDMS-2 scores for children with CP needs further investigation. The test-retest reliability coefficients are often thought of as stability coefficients; however, they do not reveal how much variability should be expected on the basis of measurement error. (16) Thus, for estimating the confidence intervals confidence interval, n a statistical device used to determine the range within which an acceptable datum would fall. Confidence intervals are usually expressed in percentages, typically 95% or 99%. of test scores, the standard error of measurement (SEM) of the PDMS-2 for children with CP needs to be calculated. Therefore, the other purpose of this study was to examine the test-retest reliability and SEM of the PDMS-2 for children with CP. Method Participants Previous studies (17,18) showed that the score change of motor tests was affected by age and CP severity in children with CP. There was an age and severity interaction on the amount of change in the GMFM-88 scores. (17) Children who were young and had mild CP demonstrated greater change in the GMFM-66 scores than did children who were older and had more severe CP over a period of time. (18) To make the age (<48 mo or [greater than or equal to]48 mo) and severity (mild or severe) levels evenly distributed in the present study sample, a quota sample of 32 children with CP was recruited. Children were recruited from 2 developmental centers and 7 hospitals in the northern and eastern areas of Taiwan. To be eligible to participate in the study, children had to meet the following criteria: a confirmed medical diagnosis of CP from the attending pediatrician pe·di·a·tri·cian or pe·di·at·rist n. A specialist in pediatrics. , age ranging from 24 to 65 months at the first evaluation, receiving physical therapy or occupational therapy at least twice per month during the study period, and written informed consent of the caregivers or guardians. The underpinnings of the therapy approaches that the children received were based on the patient/client management model, (19) the International Classification of Functioning, Disability and Health International Classification of Functioning, Disability and Health, also known as ICF, is a classification of the health components of functioning and disability. model, (20) the family-centered approach, (21) and motor learning strategies. (22) The International Classification of Functioning, Disability and Health model can be used to evaluate possible influencing factors (impairment Impairment 1. A reduction in a company's stated capital. 2. The total capital that is less than the par value of the company's capital stock. Notes: 1. This is usually reduced because of poorly estimated losses or gains. 2. , environmental, and personal factors) for motor disabilities and mobility for children and then to set treatment plans and goals. The exclusion criteria exclusion criteria AIDS Donor exclusion criteria, see there were as follows: a medical problem that might prevent participation in therapy programs and progressive neurological disorders This is a list of major and frequently observed neurological disorders (e.g. Alzheimer's disease), symptoms (e.g.back pain), signs (e.g. aphasia) and syndromes (e.g. Aicardi syndrome). or medical conditions See carpal tunnel syndrome, computer vision syndrome, dry eyes and deep vein thrombosis. for which progress in motor development would not be expected over a 3-month period. In epidemiology epidemiology, field of medicine concerned with the study of epidemics, outbreaks of disease that affect large numbers of people. Epidemiologists, using sophisticated statistical analyses, field investigations, and complex laboratory techniques, investigate the cause studies, ages ranging from 2 to 10 years have been chosen as the age of ascertainment for CP diagnosis. (23) Furthermore, the upper limit of the suitable age for testing children with the PDMS-2 is 71 months. Therefore, we set the minimum age for children at 24 months and the maximum age at 65 months. The severity of CP in the children with CP was measured according to according to prep. 1. As stated or indicated by; on the authority of: according to historians. 2. In keeping with: according to instructions. 3. the Gross Motor Function Classification System (GMFCS GMFCS Guided Missile Fire Control System ) (24) and was rated by the physical therapists treating those children and confirmed by one senior physical therapist before the PDMS-2 assessment. In this study, children at GMFCS levels I and II were classified as having mild CP, and those at GMFCS levels III to V were considered to have severe CP. The mean age, body height, body weight, CP severity level, and sex of the children at the first evaluation are shown in Table 1. Their ages ranged from 27 to 64 months. The clinical types of CP in these children were spastic spastic /spas·tic/ (spas´tik) 1. of the nature of or characterized by spasms. 2. hypertonic, so that the muscles are stiff and movements awkward. spas·tic adj. 1. hemiparesis hemiparesis /hemi·pa·re·sis/ (-pah-re´sis) paresis affecting one side of the body. hem·i·pa·re·sis n. Slight paralysis or weakness affecting one side of the body. (n = 5), spastic diplegia spastic diplegia A feature of cerebral palsy, which affects both legs, often unequally, characterized by hip flexion and internal rotation, due to the overactivity of the iliopsoas, rectus femorus, hip adductors; knee extension, due to overactivity of hamstrings, (n = 14), spastic triplegia (n = 4), spastic quadriplegia quadriplegia: see paraplegia. (n = 6), and ataxia ataxia (ətăk`sēə), lack of coordination of the voluntary muscles resulting in irregular movements of the body. Ataxia can be brought on by an injury, infection, or degenerative disease of the central nervous system, e.g. (n = 3). The ages ([bar.X] [+ or -] SD) of the fathers and mothers were 37 [+ or -] 5.8 and 34 [+ or -] 5.6 years, respectively. The education levels of the fathers and mothers, respectively, were graduate school (n = 2 and 0), university or college (n = 11 and 9), senior high school (n = 11 and 17), junior high school (n = 4 and 3), and primary school (n = 2 and 2). The occupations of the fathers and mothers, respectively, were professional or central administrators (n = 6 and 1), semiprofessional sem·i·pro·fes·sion·al adj. 1. Taking part in a sport for pay but not on a full-time basis. 2. Composed of or engaged in by semiprofessional players. n. 1. A semiprofessional player. 2. workers (n = 10 and 6), technical workers (n = 10 and 2), and semitechnical or nontechnical workers (n = 4 and 22). (25) For 1 child, information on the social or economic status of his family was not available. Study Design The single-group design method for examining both reliability and responsiveness was used in this study. (26) One physical therapist assessed each child 3 times; the period between the first and second measurements was about 1 week, and the duration between the first and third measurements was 3 months. The agreement between the first 2 measurements was used to examine test-retest reliability. The change between the first and third measurements was used to examine responsiveness. A previous study (27) indicated that responsiveness studies involving children with CP need to be at least of 3 months' duration. In line with this finding, we set the duration between the first and third measurements at 3 months. Usually a measure must be sensitive to change before it can be responsive. (6) Sensitivity to change is the capacity of a measure to assess change over time. (6) Thus, 2 types of change indexes were used in this study; one was the sensitivity-to-change coefficient, and the other was the responsiveness coefficient. The responsiveness coefficient can be calculated from the differences of score change between groups of subjects who have and subjects who have not experienced "clinically important change" on the basis of retrospective judgment. (28) To examine responsiveness in this study, a caregivers' rating scale to detect a retrospective global rating of change was designed on the basis of a previous study. (29) Assessment and Instruments The PDMS-2 is a standardized standardized pertaining to data that have been submitted to standardization procedures. standardized morbidity rate see morbidity rate. standardized mortality rate see mortality rate. , norm-referenced test A norm-referenced test is a type of test, assessment, or evaluation in which the tested individual is compared to a sample of his or her peers (referred to as a "normative sample"). . (11) The GM composite of the PDMS-2 includes 151 items from 4 subtests: reflexes, stationary, locomotion locomotion Any of various animal movements that result in progression from one place to another. Locomotion is classified as either appendicular (accomplished by special appendages) or axial (achieved by changing the body shape). , and object manipulation. The FM composite comprises 98 items from 2 subtests: grasping grasping a similar equine neurosis to windsucking; the horse grasps a fixed object with its teeth, but does not swallow air. and visual-motor integration. The total motor (TM) composite includes 249 items from all subtests. Items of the PDMS-2 are scored with a 3-point score (0, 1, and 2) ; a score of 2 is assigned when the child performs the item according to the specified item criterion, a score of 1 indicates that the behavior is emerging but that the criterion for successful performance is not fully met, and a score of 0 indicates that the child cannot or will not attempt the item or that the attempt does not show that the skill is emerging. Therefore, the maximum raw scores of the subtests are different, ranging from 16 to 198. From the results of the raw scores on each subtest of the PDMS-2, the standard scores and developmental age developmental age n. 1. The age of a fetus from conception to any point in time prior to birth. Also called fetal age. 2. Abbr. equivalents on each subtest can be obtained from the norms in the manual for the PDMS-2. The DQs for the GM, FM, and TM composites then are derived by summing the subtest standard scores and converting them to a quotient quotient - The number obtained by dividing one number (the "numerator") by another (the "denominator"). If both numbers are rational then the result will also be rational. with a mean of 100 and a standard deviation In statistics, the average amount a number varies from the average number in a series of numbers. (statistics) standard deviation - (SD) A measure of the range of values in a set of numbers. of 15. (11) Folio (1) Text management software for the professional reference publishing market from Fast Search & Transfer, Oslo, Norway and Boston, MA (www.fastsearch.com). Known as FAST Folio since its acquisition in 2004 from NextPage, Inc. and Fewell (11) suggested that to make important decisions about diagnosis and placement for children, the clinician clinician /cli·ni·cian/ (kli-nish´in) an expert clinical physician and teacher. cli·ni·cian n. should rely primarily on the results of composites rather than subtests. Therefore, this study focused on composite scores only. For the 3 composites of the PDMS-2, only the raw scores, percentile percentile, n the number in a frequency distribution below which a certain percentage of fees will fall. E.g., the ninetieth percentile is the number that divides the distribution of fees into the lower 90% and the upper 10%, or that fee level scores, and DQs can be obtained from the PDMS-2 manual. In clinics, the percentile scores and DQs for the 3 composites of the PDMS-2 can be used to share the test results with others and to identify the risk for or severity of the motor developmental delay. Clinicians should know the possible magnitudes of the measurement errors of these scores. Therefore, we analyzed the test-retest reliability coefficients and SEMs of the raw scores, percentile scores, and DQs for the 3 composites. Change indexes for measures usually were calculated from raw scores, percentage scores, and scaled scores in previous responsiveness studies for children. (27,30,31) Percentile scores and DQs are scores adjusted by age and are not suitable to be used as outcome indexes. (27) The PDMS-2 does not provide information on scaled scores; therefore, only raw scores on the 3 composites of the PDMS-2 were used to calculate change indexes in this study. The caregivers' rating scale is composed of 3 items that are closed-ended questions that ask the main caregivers' perception about overall change in GM, FM, or TM areas in the previous 3 months and are based on a 7-point Likert scale Likert scale A subjective scoring system that allows a person being surveyed to quantify likes and preferences on a 5-point scale, with 1 being the least important, relevant, interesting, most ho-hum, or other, and 5 being most excellent, yeehah important, etc (much better, better, somewhat better, about the same, somewhat worse, worse, and much worse). The rating scale was self-administered by the main caregiver care·giv·er n. 1. An individual, such as a physician, nurse, or social worker, who assists in the identification, prevention, or treatment of an illness or disability. 2. of the child (usually the mother) at the time of the third measurement. The test-retest reliability of the caregivers' rating scale for motor change within 1 week was analyzed by the quadratic quadratic, mathematical expression of the second degree in one or more unknowns (see polynomial). The general quadratic in one unknown has the form ax2+bx+c, where a, b, and c are constants and x is the variable. weighted kappa Kappa Used in regression analysis, Kappa represents the ratio of the dollar price change in the price of an option to a 1% change in the expected price volatility. Notes: Remember, the price of the option increases simultaneously with the volatility. coefficient test. (32) The test-retest reliability (kappa coefficient) values of the caregivers' rating scale were .63 (GM), .43 (FM), and .54 (TM), indicating moderate reliability. (14) Because of the moderate test-retest reliability of the caregivers' rating scale scores, we administered the caregivers' rating scale 2 times with a 1-week interval to achieve more stable ratings. For calculating the responsiveness coefficient, only children who were rated "somewhat better," "better," or "much better" at both times were classified as having clinically important change. Procedure All caregivers of the children tested were informed of the procedure and purposes of the study and signed consent forms. The PDMS-2 assessments were administered by following the standard procedures outlined in the test manual. (11) At the third assessment, the caregivers' rating scale was administered. All of the testing was performed by a physical therapist (with 2 years of working experience with children with CP) who was familiar with the PDMS-2 and had good interrater reliability with a senior physical therapist (intraclass correlation In statistics, the intraclass correlation (or the intraclass correlation coefficient[1]) is a measure of correlation, consistency or conformity for a data set when it has multiple groups. coefficient [ICC ICC See: International Chamber of Commerce ] = .99-1.00 for raw scores or DQs for the 3 composites). Most assessments were performed in the places at which the children received treatments regularly. A few assessments were performed at a local child assessment laboratory because of a lack of appropriate space for assessments at the original treatment area. Each child received 3 assessments at the same time during the day. Data Analysis In order to attain even contributions of subtests for each composite, the raw scores on each subtest were transformed to the percentage score, as has been done for GMFM-88 scores. (17) For example, the percentage score on the stationary subtest equaled the raw scores on the stationary subtest divided by the maximum raw score on the stationary subtest multiplied by 100. The percentage score on the GM composite was the average of the percentage scores on 4 subtests (reflexes, stationary, locomotion, and object manipulation). The percentage score on the FM composite was the average of the percentage scores on 2 subtests (grasping and visual-motor). The percentage score on the TM composite was the average of the percentage scores on all 6 subtests. Statistical analyses were performed with SPSS A statistical package from SPSS, Inc., Chicago (www.spss.com) that runs on PCs, most mainframes and minis and is used extensively in marketing research. It provides over 50 statistical processes, including regression analysis, correlation and analysis of variance. Statistical Package for the Social Sciences (statistics, tool) Statistical Package for the Social Sciences - (SPSS) The flagship program of SPSS, Inc., written in the late 1960s. ["SPSS X User's Guide", SPSS, Inc. 1986]. ) version 10.0. * Test-retest reliability and change indexes were computed as follows. Test-retest reliability. The ICC(2,1) was used to analyze the test-retest reliability of the raw scores, the percentage scores, the percentile scores, and the DQs for the 3 composites between the first and second assessments. (33) In general, values of ICC of less than .5 can be interpreted as indicating poor reliability, those between .5 and .75 can be interpreted as indicating moderate reliability, and those above .75 can be interpreted as indicating good reliability. (14) The SEMs for the different scales of the 3 composites of the PDMS-2 also were calculated. (15) Sensitivity to change. Four statistical analyses were performed to calculate the sensitivity-to-change coefficient: the t value of the paired t test, the effect size (ES), the standardized response mean (SRM (1) (Storage Resource Management) The management of the storage resources in an organization in order to avoid duplication of files and to determine space utilization across all servers. ), and the Guyatt responsiveness index (GRI GRI Graduate, Realtors Institute GRI Global Reporting Initiative GRI Gas Research Institute GRI Gallaudet Research Institute GRI General Rate Increase GRI Geoscience Research Institute (Loma Linda, CA) ) for sensitivity to change (GRI-S). The t value of the paired t test is used to analyze data originating from a 1-group repeated-measures design and concludes whether a statistically significant change in the measures over time exists or not. The ES is a standardized measure of change obtained by dividing the average change between initial and follow-up measurements by the SD of the initial measurement. (26) In this study, the ES was calculated by dividing the average change between the first and third tests by the pooled SDs of the first and third tests. The value of the ES is interpreted as trivial (ES of <0.2), small (ES of [greater than or equal to]0.2 <0.5), moderate (ES of [greater than or equal to]0.5<0.8), or large (ES of [greater than or equal to]0.8) according to the well-known thresholds of Cohen cohen or kohen (Hebrew: “priest”) Jewish priest descended from Zadok (a descendant of Aaron), priest at the First Temple of Jerusalem. The biblical priesthood was hereditary and male. . (34) The SRM equals the mean change in scores divided by the SDs of subjects' difference scores. (35) Therefore, in this study, it was calculated by dividing the average change between the first and third tests by the SDs of the score differences between the first and third tests. To interpret the value of the SRM for each composite, the ES thresholds (0.2, 0.5, and 0.8) proposed by Cohen (34) were converted to SRMs according to the correlation coefficients Correlation Coefficient A measure that determines the degree to which two variable's movements are associated. The correlation coefficient is calculated as: between the scores on the first and third tests in this study and the formula proposed by Middel and van Sonderen (36); then, the magnitude of the SRM was interpreted as trivial, small, moderate, or large according to the derived values. The GRI represents the ratio of observed change (or clinically important difference, if it is known) in a group of subjects expected to undergo a change to the variability in stable subjects. (37) For sensitivity to change, in this study, the GRI-S was calculated by dividing the average change between the first and third tests by the standard deviation of the score differences between the first and third tests. (26) Responsiveness. One of the GRIs, (37) which reflects the extent to which change in a measure relates to corresponding change in a reference measure of clinical or health status, (35) is referred to as the GRI for responsiveness (GRI-R) in this study. The GRI-R is calculated by dividing the change in the group expected to undergo a change by the variability in a stable group. (26) We calculated the GRI-R by dividing the mean change score between the first and third tests for subjects classified as having a clinically important change on the basis of the caregivers' rating scales by the standard deviation of the score differences between the first and second tests for the entire group. (26) Results The DQs for the 3 composites of the PDMS-2 for the children with CP at the initial assessment are shown in Table 2. All children had DQs of less than 85 for the GM composite and the TM composite. The means of the percentage scores on the GM, FM, and TM composites were 49.8, 69.4, and 56.4, respectively. Test-Retest Reliability The test-retest reliability values and SEMs for the GM, FM, and TM composites are shown in Table 2. The test-retest reliability analyses showed ICCs ranging from .979 to .988 for the DQs, from .878 to .954 for the percentile scores, from .993 to .996 for the raw scores, and from .993 to .995 for the percentage scores (P<.0001). These results indicated that the 3 composites of the PDMS-2 had good test-retest reliability. Sensitivity to Change The mean percentage scores on the 3 composites of the PDMS-2 at the first and second tests are shown in Table 2, and those at the third test are shown in Table 3. The percentage scores were significantly different between the first and third tests, with [t.sub.(df = 31)] values of 4.98 to 7.35 (P<.001). The ES value was 0.2 for all 3 composites; this value met the minimum standard proposed by Cohen for indicating a small change. (34) The correlation coefficients of the percentage scores on the GM, FM, and TM composites between the first and third tests were .978, .976, and .986, respectively. Therefore, the values of the SRMs were interpreted as trivial (SRM of <1.0), small (SRM of [greater than or equal to] 1.0<2.4), moderate (SRM of [greater than or equal to] 2.4 < 3.8), or large (SRM of [greater than or equal to] 3.8) for the GM composite; trivial (SRM of <0.9), small (SRM of [greater than or equal to] 1.0 < 2.3), moderate (SRM of [greater than or equal to] 2.3<3.7), or large (SRM of [greater than or equal to] 3.7) for the FM composite; and trivial (SRM of <1.2), small (SRM of >1.2 <3.0), moderate (SRM of [greater than or equal to] 3.0<4.8), or large (SRM of [greater than or equal to] 4.8) for the TM composite according to previously described methods. (36) The SRM values of the percentage scores on the PDMS-2 were 1.3 for the TM composite, indicating a small change, 0.9 for the GM composite, indicating a trivial to small change, and 1.0 for the FM composite, indicating a small change in children with CP. The GRI-S values ranged from 1.6 to 2.1 (Tab. 3). Responsiveness The GRI-R values for the 3 composites of the PDMS-2 ranged from 1.7 to 2.3 (Tab. 4). Discussion The results of this study are the first to confirm not only good test-retest reliability of various scales of the PDMS-2 but also acceptable responsiveness of the percentage scores on the 3 composites of the PDMS-2 for children with CP. These observations suggest that the PDMS-2 can be used as a set of evaluative tools for children with CP. Reliability is particularly important for developmental tests, either as a diagnostic test to evaluate the severity of developmental delay in clinics (16) or as an evaluative test to detect the progress of a child after intervention. (26) Usually, DQs and percentile scores can be used to evaluate the severity of developmental delay, (4,38) and raw scores and percentage scores can be used for quantifying the effect of intervention. (10,27) In this study, the reliability of the DQs, percentile scores, raw scores, and percentage scores of the PDMS-2 was investigated, and high levels of test-retest reliability were demonstrated for children with CP. A previous study showed that the test-retest reliability coefficients of the DQs for the PDMS-2 were .73 to .89 for children developing typically and aged 2 to 11 months and .93 to .96 for those aged 12 to 17 months. (11) Because of differences in samples, the reliability coefficients are not directly comparable. Previous studies did not provide information on test-retest reliability for children with CP. As indicated by the results of this study, various scales of the PDMS-2 are reliable for use in clinics for motor skill acquisition or development for children with CP. We found that the SEMs of the PDMS-2 obtained in this study were rather small, indicating that the error band of the observed scores was limited. Compared with the SEMs for the DQs of the norm samples of the PDMS-2 for children aged 24 to 72 months (3-4 for GM, 2-5 for FM, and 2-3 for TM), (11) the SEMs for children with CP in this study were lower. Because the SEM is inversely in·verse adj. 1. Reversed in order, nature, or effect. 2. Mathematics Of or relating to an inverse or an inverse function. 3. Archaic Turned upside down; inverted. n. 1. related to the reliability coefficient, a relatively higher reliability coefficient may cause a lower SEM. The value of the SEM for a measure is useful for interpreting whether a change or difference in scores is beyond measurement error (ie, reaching real change or difference) in clinical settings. A higher criterion (SEM of 1.96) has been suggested for determining whether a change for a child with CP is real (ie, beyond measurement error). (39) For example, the raw score on the TM composite for a child with CP should change more than 9.2 (ie, 1.96 x 4.7) for the change to be claimed as a real change with a 95% confidence level. On the other hand, if a child with CP has a change in the TM composite raw score of less than 9.2, it cannot be interpreted as a real improvement because such a change may be caused by measurement error. Note that a change beyond measurement error does not necessarily indicate clinical relevance. Change beyond measurement error is the minimum level representing meaningful change. A clinically relevant change on a scale can be determined by combining both distribution-based methods (eg, SEM) and anchor-based methods (eg, parents' or clinicians' judgments). (40) Although caregivers' perceptions about overall change on the GM, FM, or TM composites were determined with an anchor-based method in this study, the lack of clinicians' judgment and the modest sample size in this study limit the data for determining minimal clinically important change in the PDMS-2. Future studies to determine the benchmarks of minimal clinically important change in the PDMS-2 are warranted for clinicians to interpret their data. This study also revealed that the percentage scores on the 3 composites of the PDMS-2 could be used for evaluating motor change in children with CP and receiving therapy. According to Liang, (41) sensitivity to change is a necessary but insufficient condition for responsiveness. For a test to be relevant or meaningful to the decision maker, the responsiveness of the test should be provided. (41) Our study revealed not only acceptable sensitivity to change but also acceptable responsiveness of the PDMS-2 for children with CP. The GRI-R values of the PDMS-2 for children with CP were 1.7 to 2.3 in our study. The magnitude of these statistics is comparable to that of values obtained for other outcome measures. For example, the GRI-R value of the motor component of the Functional Independence Measure for stroke was 1.29. (42) Few previous responsiveness studies for children with CP used many of the change indexes suggested by Husted et al (35) to determine the validity of an evaluative tool. (10,29) To select proper outcome instruments, clinicians should consider the child's age and diagnosis, the purpose of testing, the reliability and responsiveness of the instruments, and the interpretability of the outcomes of the instruments. (27) The previous study with the GM composite of the first edition of the PDMS (PDMS-GM) for infants with CP showed that the PDMS-GM had limitations when used as an evaluative measure for infants with CP. (10) However, the change score on the PDMS-GM was not significantly different from that on the GMFM-88 for infants with CP over a 6-month period. (27) Previous studies did not examine the change indexes of the PDMS-2. Our study provides sensitivity-to-change and responsiveness coefficients for the GM composite of the PDMS-2 as well as for the FM and TM composites. Our study also provides evidence for clinicians and researchers to confidently use the percentage scores of the PDMS-2 to detect a motor change for children with CP. For sensitivity-to-change coefficients, the SRM may be preferred over the paired t value and the ES because the paired t value is influenced by sample size (26,35) and the SRM, which uses the between-subject variability of individual change scores over time, provides more appropriate standardization standardization In industry, the development and application of standards that make it possible to manufacture a large volume of interchangeable parts. Standardization may focus on engineering standards, such as properties of materials, fits and tolerances, and drafting than does the ES. (37) Although a high between-subject variability of individual scores may have caused low ES values for children with CP in our study, the ES values for 3 composites of the PDMS-2 still met the minimum criterion (0.2) of Cohen. (34) Guyatt et al (37) suggested that the GRI was the most appropriate measure of responsiveness because it used the variability of change scores in stable subjects to standardize stan·dard·ize v. 1. To cause to conform to a standard. 2. To evaluate by comparing with a standard. the clinically important difference; however, its assumption that the variance in stable subjects is approximately equal to the variance in an improved subject may induce biased estimation. (41) At present, no single change index is superior. We provided 4 sensitivity-to-change coefficients and 1 responsiveness coefficient for the percentage scores of the PDMS-2 for children with CP in this study. Advance knowledge of the responsiveness coefficient of an instrument would permit the accurate estimation of the sample size needed for adequate statistical power. (37,43) If the GRI for the PDMS-2 is known, then the sample size needed for any experiment in which change over time in the PDMS-2 is the end point can be chosen immediately. According to the table in the report by Guyatt et al, (37) for example, to detect a 3.2% mean change in the GM composite score (GRI-R = 1.7), approximately 11 children per group would be required for a study with unpaired observations or 7 per group would be required for a study with paired observations. To detect a 4.4% mean change in the FM composite score (GRI-R = 2.3), the required sample size would be approximately 7 for unpaired observations or 5 for paired observations. To detect a 3.4% mean change in the TM composite score, the required sample size would be similar to that for the FM composite score. The sample size in this study was modest, although it is reasonable for a clinical study. To improve the representation of the study sample, we tried to recruit children with different types of CP in this study. Furthermore, our evidence regarding test-retest reliability and responsiveness was acceptable. With the purposes that we proposed and the results that we obtained, our results might not be threatened by the modest sample size. In addition, we used a retrospective global rating scale with moderate reliability to calculate the responsiveness coefficient in this study. Although we used the scores from 2 repetitive rating scales to confirm the clinically important score change in this study, a retrospective computation of responsiveness has been criticized. (28) The retrospective global rating scale was valued lower than the prognostic prog·nos·tic adj. 1. Of, relating to, or useful in prognosis. 2. Of or relating to prediction; predictive. n. 1. A sign or symptom indicating the future course of a disease. 2. global rating scale by Stratford and Riddle riddle, puzzling question, specifically one that consists of a fanciful description or definition of something to be guessed. A famous riddle was asked by the Sphinx: "What goes on four legs in the morning, on two at noon, on three at night?" Oedipus guessed the . (1) However, the prognostic global rating scale can be used only by clinicians and not by caregivers. The retrospective global rating scale used to assess the importance and magnitude of a measured change is critical if health status measures are to have an effect on patient care. (41) Further studies are needed to develop a valid external criterion significant for both clients and clinicians. The further study of psychometric properties (eg, minimal clinically important change) is warranted to fully explore the utility of the PDMS-2 for children with different types of CP. Conclusion The results of this study showed that the PDMS-2 had good test-retest reliability over a 1-week period and acceptable sensitivity to change and responsiveness over a 3-month period for children with CP. The percentage scores on 3 composites of the PDMS-2 could be used over time to measure motor skill and motor development change over time for children with CP and aged from 2 to 5 years. The criterion of an SEM of 1.96 (GM = 2.6%, FM = 2.6%, and TM = 2.2%) could be used to determine whether an individual achieves real change (ie, beyond measurement error). This article was received August 18, 2005, and was accepted May 2, 2006. References (1) Stratford PW, Riddle DL. Assessing sensitivity to change: choosing the appropriate change coefficient. Health Qual Life Outcomes. 2005;3:23-29. 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HH Wang, RPT RPT - Unify. Report Writer Language. , MSc, is Pediatric Physical Therapist, Country Hospital, Taipei, Taiwan. HF Liao, RPT, MPH, is Associate Professor, School and Graduate Institute of Physical Therapy, College of Medicine, National Taiwan University National Taiwan University (Traditional Chinese: 國立臺灣大學; Simplified Chinese: 国立台湾大学 , No. 17, Syujhou Rd, Taipei City, Taiwan, Republic of China. Address all correspondence to Ms Liao at: hfliao@ntu.edu.tw. CL Hsieh, OTR OTR Over The Road (truckers) OTR Other OTR Old Time Radio OTR On The Road OTR Off the Record OTR Outer OTR Over The Rainbow OTR Office of Tax and Revenue OTR Over-The-Rhine , PhD, is Professor, School of Occupational Therapy, College of Medicine, National Taiwan University. All authors provided writing and data analysis. Ms Wang and Ms Liao provided concept/idea/research design and data collection. Ms Wang provided coordination of institutes and subjects. Ms Liao provided project management and fund procurement The fancy word for "purchasing." The procurement department within an organization manages all the major purchases. . The authors thank the following rehabilitation departments and the therapists of the institutes for assisting with data collection: National Taiwan University Hospital National Taiwan University Hospital (NTUH, 國立台灣大學醫學院附設醫院) started operations under Japanese rule in Dadaocheng on June 18, 1895, and moved to its present location in 1898. ; Lo-Tung Pohai Hospital; Kee-Lung General Hospital; Department of Health, Executive Yuan The Executive Yuan (Traditional Chinese: 行政院; Pinyin: Xíngzhèng Yuàn; literally "Executive court") is the executive branch of the government of the Republic of China. , Taiwan, Republic of China; Buddhist Tzu Chi The Tzu Chi Foundation (Traditional Chinese: 慈濟基金會; Simplified Chinese: 慈济基金会 General Hospital; Cathay General Hospital; Cardinal Tien Hospital; Country Hospital; and 2 developmental centers, Syin-Lu and Di-Yi. They also thank the caregivers and children who participated in this study and Dr Jeng-Yi Shien for her valuable help. This study was reviewed and approved by the Ethics Committee ethics committee A multidisciplinary hospital body composed of a broad spectrum of personnel–eg, physicians, nurses, social workers, priests, and others, which addresses the moral and ethical issues within the hospital. See DNR, Institutional review board. of National Taiwan University Hospital. This study was supported by the Department of Health, Executive Yuan, Taiwan, Republic of China (DOH 92TD1016).
Table 1.
Demographic Data for Children With Cerebral Palsy (CP)
[bar.X] [+ or -] SD
Younger
Parameter Mild CP Severe CP
Age at first test (mo) 34.0 [+ or -] 5.9 39.8 [+ or -] 2.8
Age at start of intervention 13.1 [+ or -] 10.5 10.6 [+ or -] 4.8
(mo)
Body height (cm) 88.8 [+ or -] 5.8 92 [+ or -] 8.1
Body weight (kg) 13.1 [+ or -] 2.4 13.9 [+ or -] 2.9
No. of boys/girls 5/3 7/1
[bar.X] [+ or -] SD
Older
Parameter Mild CP Severe CP
Age at first test (mo) 54.5 [+ or -] 7.0 54.6 [+ or -] 6.4
Age at start of intervention 16.4 [+ or -] 10.0 23.0 [+ or -] 9.8
(mo)
Body height (cm) 102.9 [+ or -] 4.8 97.0 [+ or -] 4.0
Body weight (kg) 16.6 [+ or -] 2.7 13.6 [+ or -] 2.1
No. of boys/girls 6/2 5/3
Table 2.
Test-Retest Reliability and Standard Error of Measurement (SEM)
for Developmental Quotients, Percentile Scores, Raw Scores,
and Percentage Scores for the Gross Motor (GM), Fine Motor (FM),
and Total Motor (TM) Composites of the Peabody Developmental
Scales-Second Edition for Children With Cerebral Palsy
[bar.X] [+ or -] SD
Parameter First Test Second Test
Developmental quotients
GM 54.0 [+ or -] 9.9 54.6 [+ or -] 10.4
FM 71.7 [+ or -] 17.1 73.2 [+ or -] 18.9
TM 57.9 [+ or -] 12.5 58.9 [+ or -] 13.5
Percentile scores
GM 1.0 [+ or -] 2.2 1.0 [+ or -] 1.7
FM 10.7 [+ or -] 15.4 13.5 [+ or -] 21.0
TM 1.8 [+ or -] 3.3 2.5 [+ or -] 4.9
Raw scores
GM 122.4 [+ or -] 45.3 124.6 [+ or -] 47.2
FM 129.2 [+ or -] 35.5 130.9 [+ or -] 37.1
TM 251.6 [+ or -] 73.0 255.5 [+ or -] 76.1
Percentage scores
GM 49.8 [+ or -] 15.9 50.4 [+ or -] 16.7
FM 69.4 [+ or -] 17.5 70.2 [+ or -] 18.5
TM 56.4 [+ or -] 14.7 57.0 [+ or -] 15.6
Intraclass Correlation
Coefficient (95%
Parameter Confidence Interval) (a) SEM
Developmental quotients
GM .988 (.976-.994) 1.1
FM .979 (.958-.990) 2.5
TM .984 (.968-.992) 1.6
Percentile scores
GM .954 (.909-.978) 0.5
FM .919 (.840-.960) 4.4
TM .878 (.765-.939) 1.2
Raw scores
GM .996 (.991-.998) 3.0
FM .993 (.985-.996) 3.0
TM .996 (.992-.998) 4.7
Percentage scores
GM .993 (.986-.997) 1.3
FM .995 (.989-.997) 1.3
TM .995 (.990-.998) 1.1
* For all values, P < .0001, as determined with the ICC(2,1) model.
Table 3.
Sensitivity-to-Change Coefficients for Percentage Scores
on the Gross Motor (GM), Fine Motor (FM), and Total Motor (TM)
Composites of the Peabody Developmental Motor Scales-Second
Edition for Children With Cerebral Palsy Over a 3-Month Interval
[bar.X] [+ or -]
SD Percentage Effect
Composite Score at Third Test t Value (P) Size
GM 52.8 [+ or -] 15.5 4.98 (<.001) 0.2
FM 73.3 [+ or -] 17.3 5.68 (<.001) 0.2
TM 59.6 [+ or -] 14.7 7.35 (<.001) 0.2
Standardized
Composite Response Mean GRI-S (a)
GM 0.9 1.6
FM 1.0 2.1
TM 1.3 2.1
(a) GRI-S-Guyatt responsiveness index for sensitivity to change.
Table 4.
Responsiveness Coefficients for Percentage Scores on the
Gross Motor (GM), Fine Motor (FM), and Total Motor (TM)
Composites of the Peabody Developmental Motor Scales-Second
Edition for Children With Cerebral Palsy Over a 3-Month Interval
Mean Change SD of
Composite Score (a) Differences (b) GRI-R (c)
GM 3.2 1.9 1.7
FM 4.4 1.9 2.3
TM 3.4 1.5 2.3
(a) Mean change score between the first and third tests for children
rated more than or equal to "somewhat better" (percentage score).
(b) SD of differences=standard deviation of score differences between
the fast and second tests for the entire group (percentage score).
(c) GRI-R = Guyatt responsiveness index for responsiveness.
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