Printer Friendly
The Free Library
14,495,914 articles and books
Member login
User name  
Password 
 
Join us Forgot password?

A simplified stroke rehabilitation assessment of movement instrument.


Motor and mobility problems are very common after stroke. (1) For the purposes of treatment planning In radiotherapy, Treatment Planning is the process in which a team consisting of radiation oncologists, medical radiation physicists and dosimetrists plan the appropriate external beam radiotherapy treatment technique for a patient with cancer. Typically, medical imaging (i.e.  and outcome assessment, it is important to reliably and accurately assess motor function in patients with stroke. (2) Although a number of assessment tools are available to measure the recovery of movement after stroke, they have rarely been used in clinical practice, partly because of the lengthy administration time and complexity of scoring. (3) A reliable, valid, and efficient instrument for the assessment of motor function in patients with stroke is needed by both clinicians and researchers.

The Stroke Rehabilitation rehabilitation: see physical therapy.  Assessment of Movement (STREAM) instrument was designed to provide a comprehensive and quantitative evaluation of voluntary movements (ie, an 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.
 measurement) and basic mobility (ie, a disability measurement) in patients with stroke. (4) The STREAM consists of three 10-item subscales: upper-limb movements, lower-limb movements, and mobility. 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
 characteristics of the STREAM have been shown by classical test theory to be satisfactory. (2-6) The STREAM is preferred over other related impairment or disability measures (eg, the Box and Block Test, the Berg Balance Scale, gait speed testing, the Timed "Up & Go" Test, and the Barthel Index Barthel index,
n.pr standard, well-validated assessment that measures functional outcomes, including independence in mobility and self-care. Commonly used in rehabilitation medicine.
) for monitoring recovery from a stroke at the acute stage, as those measures appeared not to focus on the goals of immediate therapy during this period. (5) Furthermore, those measures had limited abilities to discriminate or evaluate patients with stroke because the Box and Block Test, the Berg Balance Scale, gait speed testing, and the Timed "Up & Go" Test showed floor effects in patients with severe stroke, whereas the Barthel Index showed ceiling effects in patients with mild stroke. (5,7-9)

However, the 3 subscales of the STREAM have never been tested for unidimensionality (one type of construct validity construct validity,
n the degree to which an experimentally-determined definition matches the theoretical definition.
); such testing is required to justify the summation summation n. the final argument of an attorney at the close of a trial in which he/she attempts to convince the judge and/or jury of the virtues of the client's case. (See: closing argument)  of scores to quantify motor function in patients with stroke. Only items measuring the same, unique dimension (construct) should be retained in a measure. Furthermore, the extremely high internal consistency In statistics and research, internal consistency is a measure based on the correlations between different items on the same test (or the same subscale on a larger test). It measures whether several items that propose to measure the same general construct produce similar scores.  of the STREAM (ie, the Cronbach alpha value was found to be as high as .98 for each of the subscales) (3) indicates possible redundancy among the items. These observations suggest the potential for shortening the STREAM.

Standard Rasch analysis enables the examination of whether items from a scale constitute a unidimensional u·ni·di·men·sion·al  
adj.
One-dimensional.

Adj. 1. unidimensional - relating to a single dimension or aspect; having no depth or scope; "a prose statement of fact is unidimensional, its value being measured wholly in terms
 construct (10,11) so as to construct a concise scale. (12) However, when an instrument consisting of more than one subscale (eg, the STREAM) is to be calibrated cal·i·brate  
tr.v. cal·i·brat·ed, cal·i·brat·ing, cal·i·brates
1. To check, adjust, or determine by comparison with a standard (the graduations of a quantitative measuring instrument):
, it is inefficient to apply the standard unidimensional Rasch model Rasch models are used for analysing data from assessments to measure things such as abilities, attitudes, and personality traits. For example, they may be used to estimate a student's reading ability from answers to questions on a reading assessment, or the extremity of a person's  separately to each subscale. The unidimensional approach ignores correlations between latent traits (ie, the constructs of the subscales) and thus may yield imprecise im·pre·cise  
adj.
Not precise.



impre·cisely adv.
 measurements of the construct (or characteristic) to be measured, especially when the subscales are short. On the other hand, the multidimensional mul·ti·di·men·sion·al  
adj.
Of, relating to, or having several dimensions.



multi·di·men
 Rasch model simultaneously calibrates all subscales and therefore uses the correlations to increase measurement precision. (13,14) Theoretically, it may be difficult to conceive of Verb 1. conceive of - form a mental image of something that is not present or that is not the case; "Can you conceive of him as the president?"
envisage, ideate, imagine
 constructs that are independent in the movement domains after stroke. Therefore, the multidimensional Rasch model takes into account the between-subscale correlations to increase measurement precision: the higher the correlations, the greater the measurement precision. (15,16) In other words Adv. 1. in other words - otherwise stated; "in other words, we are broke"
put differently
, short subscales, if moderately correlated, still can yield precise measurements with the multidimensional approach. Because the 3 subscales of the STREAM are highly correlated with each other, (2) the multidimensional approach can be useful in simplifying the STREAM.

To improve administration efficiency, we aimed to shorten the 30-item, 3-subscale STREAM to produce a simplified STREAM (S-STREAM) by using the multidimensional Rasch model. We examined the psychometric properties of the S-STREAM (including Rasch reliability, unidimensionality, and concurrent validity concurrent validity,
n the degree to which results from one test agree with results from other, different tests.
 with the STREAM) in subjects with stroke.

Method

Subjects

Subjects with a broad range of motor deficits were recruited from the rehabilitation departments of 5 hospitals in northern, central, southern, and eastern Taiwan between October 2003 and January 2004. These rehabilitation departments provide both inpatient inpatient /in·pa·tient/ (in´pa-shent) a patient who comes to a hospital or other health care facility for diagnosis or treatment that requires an overnight stay.

in·pa·tient
n.
 and outpatient services outpatient services Hospital-based services Managed care Medical and other services provided, to a nonadmitted Pt, by a hospital or other qualified facility–eg, mental health clinic, rural health clinic, mobile X-ray unit, free-standing dialysis unit Examples  (including physical therapy, occupational therapy, and speech therapy). Subjects were included in the study if they met the following criteria: diagnosis (International Classification of Diseases, 9th Revision, Clinical Modification [ICD-9] codes) (17) of cerebral hemorrhage cerebral hemorrhage
n.
Bleeding into the substance of the cerebrum, usually in the internal capsule. Also called encephalorrhagia, hematencephalon.
 (ICD-9 code 431) or cerebral infarction cerebral infarction
n.
See stroke.


cerebral infarction,
n the blockage of the flow of blood to the cerebrum, causing or resulting in brain tissue death.
 (ICD-9 code 434), absence of other major diseases (eg, tumors, arthritis) or impairments (eg, amputations, fractures) that would reduce or limit a subject's ability to perform movements, and ability to follow 2-step instructions. Only subjects who had had their first stroke and were able to give informed consent personally or by proxy were included in the study.

Procedure

The STREAM, with instructions in Chinese, was administered by the same physical therapist to all of the participants in the 5 rehabilitation departments. The intrarater reliability of data obtained by the physical therapist was satisfactory (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
] of .94). Demographic characteristics and comorbidity data for the participants were collected from medical records.

Instrument

Items of the STREAM (3) for voluntary movements of the limbs are scored on a 3-point scale (0=unable to perform the test movement, 1=able to perform the test movement only partially, and 2=able to complete the test movement). Mobility items are scored on a 4-point scale (0=unable to perform the test movement, 1=able to perform the test movement only partially, 2=able to complete the test movement with a mobility aid, and 3=able to complete the test movement without an aid). Thus, each of the 10-item limb movement subscales was scored out of 20 points, and the 10-item mobility subscale was scored out of 30 points.

Data Analysis

The unidimensionality of the 3 subscales of the STREAM was examined with WINSTEPS. (18) The variance-covariance matrix (and the correlation matrix Noun 1. correlation matrix - a matrix giving the correlations between all pairs of data sets
statistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population
) for the 3 latent traits (ie, the constructs of the 3 subscales of the STREAM) was computed with ConQuest, (19) which was developed for the multidimensional random-coefficients multinomial logit In statistics and economics, a multinomial logit model is a regression model which generalizes logistic regression to where can be more than two cases. Introduction  model (MRCMLM). (13) A brief description of the MRCMLM is given in the Appendix.

To examine the unidimensionality of each subscale, infit and outfit statistics were used to examine whether the data fit the expectation of the Rasch rating scale model (RSM RSM (in Britain) regimental sergeant major ). The infit mean square (MNSQ) is sensitive to unexpected behavior affecting responses to items near the subject's proficiency measure (eg, motor status); the outfit MNSQ is sensitive to unexpected behavior on items far from the subject's motor status. Items with infit or outfit MNSQ values of greater than 1.4 indicate potential misfits. (20) The MNSQ can be transformed to 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.
 z value (ZSTD) which, for large samples, follows approximately the standard normal distribution when the items fit the expectation of the model. Items with both infit and outfit ZSTD values beyond [+ or -] 2.58 (twice the tailed area of the normal curve above or below [+ or -] 2.58 is 0.01) were considered to have poor fit.

In addition, when items fit the expectation of the model, the residuals (observed scores minus expected scores) should be distributed randomly. A principal components analysis was conducted to determine whether any dominant component existed among the residuals. If dominant components were found, then the unidimensionality assumption was violated.

Rasch reliability, which can be viewed as the counterpart of classical test reliability (eg, the Cronbach alpha), was calculated. (10,20) Reliability coefficients of greater than .7 were considered good for group comparisons, whereas those greater than .9 were considered good for individual comparisons. (21)

The appropriateness of the scoring levels in each item of the STREAM was investigated with the RSM. The RSM is useful for polytomous items in a scale that share the same rating scale structure (eg, all items are rated 0, 1, or 2). Estimates of the threshold difficulty between the adjacent scoring levels can be used to examine the appropriateness of the scoring points of a test. (20) If disorderings of the step difficulty (ie, the difficulty of a higher step was lower than that of its adjacent lower step) between any 2 adjacent levels were found, then the levels of scaling of the items might be reorganized re·or·gan·ize  
v. re·or·gan·ized, re·or·gan·iz·ing, re·or·gan·iz·es

v.tr.
To organize again or anew.

v.intr.
To undergo or effect changes in organization.
 to achieve suitable scaling.

After the unidimensionality and appropriate scoring levels in each item of the STREAM were established, we attempted to reduce the length of the test further while maintaining its psychometric properties. Each of the 3 subscales of the STREAM was shortened to produce the S-STREAM on the basis of 2 criteria: content representativeness, assessed by a panel of therapists (2 physical therapists and 2 occupational therapists occupational therapist A person trained to help people manage daily activities of living–dressing, cooking, etc, and other activities that promote recovery and regaining vocational skills Salary $51K + 4% bonus. See ADL.  who each had more than 10 years of experience in stroke rehabilitation); and difficulty diversity, that is, even scattering of the difficulties of the selected items over the range of the difficulty continuum.

For each subject, the multidimensional form of the RSM can provide estimates for the 3 subscale scores for both the S-STREAM and the STREAM. We used the RSM estimates for each subscale of the STREAM as the gold standard in this study. Because the Rasch estimates for each subscale have different score ranges, all estimates were linearly transformed to a range of 0 to 100 to facilitate comparisons. The relationship and agreement among corresponding Rasch estimates for subscale scores (ie, the concurrent validity of the S-STREAM with the STREAM) were examined with the Pearson correlation coefficient Correlation Coefficient

A measure that determines the degree to which two variable's movements are associated.

The correlation coefficient is calculated as:
 (r) and the ICC(3,1), (22) respectively. Correlation coefficients of greater than .6 indicate acceptable concurrent validity. (23)

Results

A total of 351 subjects with a median time after stroke of 12.5 months met the selection criteria and agreed to participate in the study. The participants had a wide range of motor deficits, and their scores were found to be scattered Scattered

Used for listed equity securities. Unconcentrated buy or sell interest.
 throughout the entire ranges of the STREAM subscales. The clinical characteristics of the study participants are shown in Table 1.

Unidimensional Rasch analyses of the 3 subscales, separately, revealed that 2 items (scapular scap·u·lar or scap·u·lar·y
adj.
Of or relating to the shoulder or scapula.


scapular,
adj pertaining to the region of the scapulae.


scapular

pertaining to the scapula.
 elevation and opposition) in the upper-limb movement subscale and 1 item (hip abduction Abduction
Balfour, David

expecting inheritance, kidnapped by uncle. [Br. Lit.: Kidnapped]

Bertram, Henry

kidnapped at age five; taken from Scotland. [Br. Lit.
) in the lower-limb movement subscale did not fit the expectation of the model (both infit and outfit ZSTD values of beyond [+ or -] 2.58). These 3 items were removed from the instrument in subsequent analyses. Thereafter, the 8-item upper-limb movement subscale and the 9-item lower-limb movement subscale fit the expectation of the model (infit and outfit ZSTD values within the range of [+ or -] 2.58). In addition, none of these items had infit and outfit MNSQs of greater than 1.4. Principal components analysis revealed that no dominant component existed among the residuals of the Rasch-transformed scores for the 8-item upper-limb movement subscale, the 9-item lower-limb movement subscale, or the 10-item mobility subscale. These results indicate that the 8-item upper-limb movement subscale, the 9-item lower-limb movement subscale, and the 10-item mobility subscale assess single, unidimensional upper-limb movements, lower-limb movements, and mobility, respectively.

A multidimensional analysis In statistics, econometrics, and related fields, multidimensional analysis is a data analysis process that groups data into two basic categories: data dimensions and measurements.  with ConQuest was performed for the remaining 27 items (ie, 8 items from the upper-limb movement subscale, 9 items from the lower-limb movement subscale, and 10 items from the mobility subscale). Table 2 shows the correlation matrix for the STREAM, which revealed that the underlying latent traits of the subscales of the STREAM were highly correlated, with Pearson coefficients of between .78 and .90. Table 3 shows that the Rasch reliability for the 3 subscales was good (reliability coefficients of [greater than or equal to] .86). (20) Moreover, the 3 subscales of the STREAM showed better reliability when the multidimensional approach was used (reliability coefficients of [greater than or equal to] .93) than when the unidimensional approach was used (reliability coefficients of [greater than or equal to] .86).

We selected items that fit the RSM to construct the S-STREAM. To avoid possible floor or ceiling effects, we generally retained the most difficult and easiest items for each subscale. The only exception was that the most difficult item of the mobility subscale, 3 steps backward, was not selected because it apparently cannot be classified as a daily mobility activity. The second most difficult item, walking down 3 stairs, was selected instead. These 2 items were similar in difficulty (Tab. 4). Furthermore, 3 items with an intermediate degree of difficulty were selected for each subscale on the basis of expert opinion and the results of Rasch analysis. We first selected items that were scattered evenly over the range of the difficulty continuum. Some items of similar difficulty (eg, "making a fist" and "moving hand to sacrum sacrum: see spinal column. " in the upper-limb movement subscale, "knee flexion flexion /flex·ion/ (flek´shun) the act of bending or the condition of being bent.

flex·ion
n.
1. The act of bending a joint or limb in the body by the action of flexors.

2.
 while sitting" and "knee flexion while standing" in the lower-limb movement subscale, and "10-m walk" and "3 steps to the affected side" in the mobility subscale) were selected by the panel of therapists. "Making a fist" was used to provide 2 items, in total, measuring hand function for the upper-limb movement subscale. "Knee flexion while standing" was not used because some subjects tended to flex their hips simultaneously, making the rating difficult. "Three steps to the affected side" was not used because it is obviously not a daily activity, compared with "10-m walk." The final 5 items used for each subscale of the S-STREAM are shown in Table 4.

Unidimensional and multidimensional analyses were conducted on the 15-item version of the S-STREAM. Table 4 shows the 2 kinds of item parameter estimates (ie, difficulty logit and standard error) for the 3 subscales of the 27-item STREAM and the S-STREAM with the multidimensional approach. These 2 versions of the instrument had similar estimates for corresponding items.

The threshold difficulty estimates within each subscale were rather far apart ([greater than or equal to] 2.18 logits). In addition, the ordering of the threshold difficulty estimates was not reversed.

Table 3 shows that the use of the multidimensional approach with the S-STREAM resulted in high test reliability (Rasch reliability coefficients of [greater than or equal to] .91) for the 3 subscales. These results indicate that the 3 subscales of the S-STREAM can yield very precise estimates for individual subjects. When the unidimensional approach was used, the test reliability values were .85, .88, and .94 for the upper-limb movement, lower-limb movement, and mobility subscales of the S-STREAM, respectively.

The agreement between each pair of subscales was excellent (transformed scores of 0-100), with ICCs (95% 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 .99 (.993-.995), .99 (.989-.993), and .99 (.985-.990), for the upper-limb movement, lower-limb movement, and mobility subscales, respectively. Furthermore, the Pearson correlation coefficients for the multidimensional Rasch estimates for the STREAM and the S-STREAM were all .99 for the 3 subscales. These results indicate that each subscale of the S-STREAM demonstrates high concurrent validity with the corresponding subscale of the STREAM.

Discussion

To the best of our knowledge, this study is the first to use the multidimensional approach to produce a concise measure of motor function for people with stroke. The 15-item S-STREAM was constructed on the basis of the original STREAM, expert opinion, and results of Rasch analysis. The S-STREAM contains only half the number of items in the original STREAM and shows sound reliability and validity.

There are 2 major advantages of using the S-STREAM. First, it is simple and quick to use for patients with stroke compared with the original STREAM. As the S-STREAM contains only half the number of items in the original STREAM, the 15-item S-STREAM can be administered within 10 minutes, that is, half the time required to administer the original STREAM. Rapid assessment is a clinically important feature of this simplified version of the STREAM, as long tests can take a substantial amount of time to complete and may place unreasonable demands upon the respondents, especially in instances in which they may be seriously unwell, as in the case of stroke. Rapid and accurate assessment of functional outcomes in patients with stroke therefore will provide benefits to both clinicians and patients.

A second advantage of using the S-STREAM is that the Rasch estimates for the 3 subscales can be viewed as interval-level measurements. (10) In contrast, most measures currently used in the assessment of patients with stroke use ordinal-level measurements. For an ordinal scale ordinal scale (or´dn , a given difference in scores at one point on the scale does not necessarily represent the same amount of functional change as an identical difference at another point on the scale. (24) Interval scores, rather than ordinal (mathematics) ordinal - An isomorphism class of well-ordered sets.  scores, can provide a more precise reflection and better resolution of disease impact, differences between individuals and groups, and treatment effects. (25) Furthermore, an ordinal scale precludes the use of standard parametric statistical inferences Inferential statistics or statistical induction comprises the use of statistics to make inferences concerning some unknown aspect of a population. It is distinguished from descriptive statistics. . Because most statistical techniques assume that the data are at least on an interval scale, the Rasch estimates for the S-STREAM are recommended for future applications.

With the multidimensional approach, the between-subscale correlations are taken into account to improve measurement precision. Patients with the same raw upper-extremity scores but with different lower-extremity scores or mobility scores would have different Rasch estimates for their upper-extremity scores. The Rasch estimates for each subscale of the S-STREAM derived from the multidimensional analysis cannot be obtained by summing the raw scores and using a simple Rasch transformation table, as in the unidimensional analysis. Because the transformation table for the multidimensional analysis of the S-STREAM is very long, we have developed a computer program to transform the raw scores for each subscale of the S-STREAM to the Rasch scores. The program is easy to run on common PC platforms. To improve the dissemination dissemination Medtalk The spread of a pernicious process–eg, CA, acute infection Oncology Metastasis, see there  of the program and the S-STREAM, (26) the related materials can be found at http://ccms.ntu.edu.tw/~clhsieh/s-stream/. Even if some patients do not respond to all items, their Rasch scores still can be estimated and compared because, with the use of the models of the Rasch family (or item response models in general), the estimation of a patient's latent traits is based on the patient's observed item responses. (11)

In this study, multidimensional Rasch analysis was shown to be a useful tool for reducing the items of a measure while maintaining the measurement reliability and validity (eg, the Rasch reliability coefficients of the S-STREAM were above the preset preset Cardiac pacing A parameter of a pacemaker that is programmed permanently when manufactured  criterion of .9, and the subscales of the S-STREAM were highly associated with the corresponding subscales of the STREAM). Furthermore, the multidimensional Rasch model yielded a large number of estimates of a subject's motor function (eg, 191 estimates for the upper-limb movement function in this study) compared with the raw scores of the S-STREAM (eg, 0-10 for the upper-limb movement function). These additional estimates of motor function are likely to promote the psychometric properties (eg, responsiveness and discriminative dis·crim·i·na·tive  
adj.
1. Drawing distinctions.

2. Marked by or showing prejudice: discriminative hiring practices.
 capacity) of the S-STREAM, although further validation is warranted.

It also should be noted that direct estimation of the correlation among latent traits is possible only for the multidimensional approach and not for the unidimensional one. (15,16) Rasch analysis can achieve even more efficient and precise measurements when computerized adaptive testing Computerized adaptive testing is a more commonly used term [1] for Computer-adaptive testing.  (CAT) (27-29) is used; CAT involves the use of a computer to administer items to respondents and allows respondents' levels of function to be estimated as precisely as desired (ie, to reach a preset reliability level). Because the impacts after stroke are multiple and a great deal of time and effort is needed to administer the measures that assess various impacts, it seems promising to combine both the multidimensional approach and CAT to simplify or elaborate on functional measurements in patients with stroke. (14)

The appropriateness of scoring levels refers to whether or not the motor functions of participants can be differentiated by their responses as clearly as the levels allow. (20) Recent studies (30,31) have shown that a larger number of scoring points may not lead to a finer differentiation of participants. The items of the subscales of the STREAM are on a 3-point or 4-point ordinal scale, but the appropriateness of scoring levels of the STREAM have rarely been examined. Our study is the first to determine the appropriateness of its scaling in subjects with stroke. We found that the threshold difficulty estimates within each subscale were rather far apart and without disorderings (ie, the ordering of the threshold difficulty of the levels was reasonable). Therefore, the rating scales of the STREAM were supported, indicating that they could differentiate the motor status of subjects very well.

Any measurement tool requires an extensive psychometric examination for the purposes of understanding its particular strengths and limitations. (32) Additional studies to examine other psychometric properties (eg, predictive validity In psychometrics, predictive validity is the extent to which a scale predicts scores on some criterion measure.

For example, the validity of a cognitive test for job performance is the correlation between test scores and, for example, supervisor performance ratings.
 and responsiveness) of the S-STREAM are warranted. Furthermore, patients with stroke at the acute or subacute subacute /sub·acute/ (-ah-kut´) somewhat acute; between acute and chronic.

sub·a·cute
adj.
Between acute and chronic.
 stage receive greater intensity of motor rehabilitation and assessment than do those at the chronic stage. However, more than half of the subjects in this study had had a stroke more than 1 year before the study; therefore, the psychometric properties of the S-STREAM at the acute and subacute stages remain largely unknown. Therefore, further investigations of the psychometric properties of the S-STREAM at various recovery stages after stroke are needed to further establish its utility in both clinical and research settings. Direct psychometric and practical (utility) comparisons between the S-STREAM and other related impairment and disability measures (eg, the Fugl-Meyer Motor Test and the Rivermead Mobility Index) also are needed for prospective users to select a better measure based on empirical data.

Conclusion

Our results show that the S-STREAM has high Rasch reliability, unidimensionality, and concurrent validity with the STREAM in patients with stroke. The S-STREAM is efficient to administer, as it consists of only half the number of items in the original STREAM. Additional studies to examine the predictive validity and responsiveness of the S-STREAM or its psychometric properties in various recovery stages after stroke are needed to further establish its utility.

Appendix.

Multidimensional Random-Coefficients Multinomial Logit Model (MRCMLM)

In the MRCMLM, let subject n's abilities on L latent traits (ie, the 3 constructs to be measured in this study: upper-limb movement, lower-limb movement, and mobility) be denoted as [[theta Theta

A measure of the rate of decline in the value of an option due to the passage of time. Theta can also be referred to as the time decay on the value of an option. If everything is held constant, then the option will lose value as time moves closer to the maturity of the option.
].sup.T.sub.n] = ([theta].sub.nl], ..., [[theta].sub.nL), which is considered to represent a random sample from a population with multivariate normal distribution
MVN redirects here. For the airport with that IATA code in Mount Vernon, Kentucky, see Mount Vernon Airport.


In probability theory and statistics, a multivariate normal distribution, also sometimes called a multivariate Gaussian distribution
 N([mu], [SIGMA]), where [mu] and [SIGMA] are the means and variance-covariance matrices of the latent traits, respectively. The probability of a response in scaling level j of item i for subject n is

[p.sub.nij] = exp exp
abbr.
1. exponent

2. exponential
([b.sup.T.sub.ij] [[theta].sub.n] + [a.sup.T.sub.ij] [xi])/[[K.sub.i].summation over (u = 1)] exp([b.sup.T.sub.iu] [[theta].sub.n] + [a.sup.T.sub.iu] [xi]),

where [K.sub.i] is the number of levels in item i (in this study, [K.sub.i] = 3 for the items of the upper-limb and lower-limb movement subscales and [K.sub.i] = 4 for the items of the mobility subscale), [xi] is a vector of location parameters In statistics, if a family of probability densities parametrized by a scalar- or vector-valued parameter μ is of the form

fμ(x) = f(x − μ)


where f
 that describe the items, [b.sub.ij] is a score vector given to scaling level j of item i across L latent traits, and [a.sub.ij] is a design vector given to scaling level j of item i that describes the linear relationship among the elements of [xi].

This article was received April 16, 2005, and was accepted January 30, 2006.

References

(1) Kelly-Hayes M, Robertson JT, Broderick JP, et al. The American Heart Association American Heart Association (AHA),
n.pr a national voluntary health agency that has the goal of increasing public and medical awareness of cardiovascular diseases and stroke, and thereby reducing the number of associated deaths and disabilities.
 Stroke Outcome Classification. Stroke. 1998;29: 1274-1280.

(2) Wang CH, Hsieh CL, Dai MH, et al. Inter-rater reliability Inter-rater reliability, Inter-rater agreement, or Concordance is the degree of agreement among raters. It gives a score of how much , or consensus, there is in the ratings given by judges.  and validity of the Stroke Rehabilitation Assessment of Movement (STREAM) instrument. J Rehabil Med. 2002;34:20-24.

(3) Daley K, Mayo N, Wood-Dauphinee S. Reliability of scores on the Stroke Rehabilitation Assessment of Movement (STREAM) measure. Phys Ther. 1999;79:8-19.

(4) Daley K, Mayo N, Danys I, et al. The Stroke Rehabilitation Assessment of Movement (STREAM): refining and validating the content. Physiother Can. 1997;49:269-278.

(5) Ahmed S, Mayo NE, Higgins J, et al. The Stroke Rehabilitation Assessment of Movement (STREAM): a comparison with other measures used to evaluate effects of stroke and rehabilitation. Phys Ther. 2003;83:617-630.

(6) Hsueh IP, Wang CH, Sheu CF, Hsieh CL. Comparison of psychometric properties of three mobility measures for patients with stroke. Stroke. 2003;34:1741-1745.

(7) Hsueh IP, Lee MM, Hsieh CL. Psychometric characteristics of the Barthel Activities of Daily Living Index in stroke patients. J Forms Med Assoc. 2001;100:526-532.

(8) Mao HF, Hsueh IP, Tang tang, in zoology
tang: see butterfly fish.
 PF, et al. Analysis and comparison of the psychometric properties of three balance measures for stroke patients. Stroke. 2002;33:1022-1027.

(9) Croarkin E, Danoff J, Barnes C. Evidence-based rating of upper-extremity motor function tests used for people following a stroke. Phys Ther. 2004;84:62-74.

(10) Wright BD, Mok M. Rasch models overview. J Appl Meas. 2000;1: 83-106.

(11) Wright BD, Stone MH. Best Test Design: Rasch Measurement. Chicago, Ill: MESA; 1979.

(12) Jenkinson C, Norquist JM, Fitzpatrick R. Deriving summary indices of health status from the Amyotrophic Lateral Sclerosis amyotrophic lateral sclerosis (ALS) (ā'mīətrōf`ik, sklĭrō`sĭs) or motor neuron disease,  Assessment Questionnaires (ALSAQ-40 and ALSAQ-5). J Neural Neurosurg Psychiatry. 2003;74:242-245.

(13) Adams RJ, Wilson MR, Wang WC. The multidimensional random coefficients multinomial mul·ti·no·mi·al  
n.
See polynomial.



[multi- + (bi)nomial.]


mul
 legit le·git  
adj. Slang
Legitimate.
 model. Appl Psychol Meas. 1997;21:1-23.

(14) Wang WC, Chen PH. Implementation and measurement efficiency of multidimensional computerized adaptive testing. Appl Psychol Meas. 2004;28:295-316.

(15) Wang WC. Direct estimation of correlation as a measure of association strength using multidimensional item response models. Educational and Psychological Measurement. 2004;64:937-955.

(16) Wang WC, Chen PH, Cheng YY. Improving measurement precision of test batteries using multidimensional item response models. Psychol Methods. 2004;9:116-136.

(17) National Center for Health Statistics National Center for Health Statistics (NCHS) is part of the Centers for Disease Control and Prevention (CDC), which is part of the United States Department of Health and Human Services.

NCHS is the United States' principal health statistics agency.
. International Classification of Diseases, 9th Revision, Clinical Modification. Hyattsville, Md: National Center for Health Statistics, Centers for Disease Control and Prevention Centers for Disease Control and Prevention (CDC), agency of the U.S. Public Health Service since 1973, with headquarters in Atlanta; it was established in 1946 as the Communicable Disease Center. , US Department of Health and Human Services Noun 1. Department of Health and Human Services - the United States federal department that administers all federal programs dealing with health and welfare; created in 1979
Health and Human Services, HHS
; 1980.

(18) Linacre JM. A user's guide to WINSTEPS MINISTEP Rasch-model computer programs. Available at: http://www.winsteps.com/winsteps.htm. Accessed on January 12, 2005.

(19) Wu ML, Adams RJ, Wilson MR. ConQuest. Camberwell, Victoria
For other uses of the name Camberwell, see Camberwell (disambiguation).


Camberwell is a suburb of Melbourne, Australia, in the local municipality of the City of Boroondara.
, Australia: Australian Council for Educational Research The Australian Council for Educational Research (ACER) is a non-governmental educational research organisation based in Camberwell, Victoria and with offices in Sydney, Brisbane, Perth, Dubai and India. ; 1998.

(20) Bond TG, Fox CM. Applying the Rasch Model: Fundamental Measurement in the Human Sciences. Mahwah, NJ: Lawrence Erlbaum Associates; 2001.

(21) Lohr KN. Assessing health status and quality-of-life instruments: attributes and review criteria. Qual Life Res. 2002;11:193-205.

(22) Shrout PE, Fleiss JL. Intraclass correlation: uses in assessing rater rat·er  
n.
1. One that rates, especially one that establishes a rating.

2. One having an indicated rank or rating. Often used in combination: a third-rater; a first-rater. 
 reliability. Psychol Bull. 1979;86:420-428.

(23) Salter salt·er  
n.
1. One that manufactures or sells salt.

2. One that treats meat, fish, or other foods with salt.

Noun 1.
 K, Jutai JW, Teasell R, et al. Issues for selection of outcome measures in stroke rehabilitation: ICF (Internet Connection Firewall) The built-in firewall in Windows XP. It provides a stateful inspection of packets which accepts only responses to requests originated by the user.  participation. Disabil Rehabil. 2005;27:507-528.

(24) Wright BD, Linacre JM. Observations are always ordinal; measurements, however, must be interval. Arch Phys Med Rehabil. 1989;70: 857-860.

(25) Hobart J. Measuring disease impact in disabling dis·a·ble  
tr.v. dis·a·bled, dis·a·bling, dis·a·bles
1. To deprive of capability or effectiveness, especially to impair the physical abilities of.

2. Law To render legally disqualified.
 neurological conditions Neurological conditions
A condition that has its origin in some part of the patient's nervous system.

Mentioned in: Pervasive Developmental Disorders
: are patients' perspectives and scientific rigor rigor /rig·or/ (rig´er) [L.] chill; rigidity.

rigor mor´tis  the stiffening of a dead body accompanying depletion of adenosine triphosphate in the muscle fibers.
 compatible? Curr Opin Neural. 2002;15:721-724.

(26) Jette AM. Invention is hard, but dissemination is even harder. Phys Ther. 2005;85:390-391.

(27) McHorney CA. Generic health measurement: past accomplishments and a measurement paradigm for the 21st century. Ann Intern intern /in·tern/ (in´tern) a medical graduate serving in a hospital preparatory to being licensed to practice medicine.

in·tern or in·terne
n.
 Med. 1997;127:743-750.

(28) McHorney CA. Ten recommendations for advancing patient-centered outcomes measurement for older persons. Ann Intern Med. 2003;139:403-409.

(29) van der Linden Linden, city, United States
Linden, city (1990 pop. 36,701), Union co., NE N.J., in the New York metropolitan area; inc. 1925. During the first half of the 20th cent.
 WJ, Glas CAW. Computerized Adaptive Testing: Theory and Practice. Boston, Mass: Kluwer Academic Publishers; 2000.

(30) Hsueh IP, Wang WC, Sheu CF, Hsieh CL. Rasch analysis of combining two indices to assess comprehensive ADL function in stroke patients. Stroke. 2004;35:721-726.

(31) Wang CH, Hsueh IP, Sheu CF, et al. Psychometric properties of 2 simplified 3-level balance scales used for patients with stroke. Phys Ther. 2004;84:430-438.

(32) Dodds TA, Martin DP, Stolov WC, Deyo RA. A validation of the functional independence measurement and its performance among rehabilitation inpatients. Arch Phys Med Rehabil. 1993;74:531-536.

IP Hsueh, OT, MA, is Assistant Professor, School of Occupational 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 , Taipei, Taiwan.

WC Wang, PhD, is Professor, Department of Psychology, Chung-Cheng University, Chiayi, Taiwan.

CH Wang, PT, BS, is Professor, School of Physical Therapy, College of Medical Technology, Chung-Shan Medical University, and Department of Physical Therapy, Chung-Shan Medical University Rehabilitation Hospital Hospital devoted to the rehabilitation of patients with various neurologic, musculoskeletal, orthopedic and other medical conditions following stabilization of their acute medical issues. , Taichung, Taiwan.

CF Sheu, PhD, is Professor, Institute of Cognitive Science cognitive science

Interdisciplinary study that attempts to explain the cognitive processes of humans and some higher animals in terms of the manipulation of symbols using computational rules.
, National Cheng Kung University National Cheng Kung University (Traditional Chinese: 國立成功大學; Simplified Chinese: 国立成功大学 , Tainan, Taiwan.

SK Lo, PhD, is Professor, Faculty of Health and Behavioral Sciences behavioral sciences,
n.pl those sciences devoted to the study of human and animal behavior.
, Deakin University .*R1 refers to Academics' rankings in tables 3.1 - 3.7 in the report. R2 refers to Articles and Research rankings in tables 5.1 - 5.7. No. refers to the number of institutions compared with Deakin.

.
, Melbourne, Australia.

JH Lin, PT, PhD, is Professor, Faculty of Physical Therapy, Kaohsiung Medical University The Kaohsiung Medical University (Traditional Chinese:高雄醫學大學), originally known as "Kaohsiung Medical College", is a private university located in Kaohsiung, Taiwan. , Kaohsiung, Taiwan.

CL Hsieh, OT, PhD, is Professor and Chair, School of Occupational Therapy, College of Medicine, National Taiwan University, and Department of Physical Medicine and Rehabilitation physical medicine and rehabilitation
 or physiatry or physical therapy or rehabilitation medicine

Medical specialty treating chronic disabilities through physical means to help patients return to a comfortable, productive life despite a medical
, 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. , 4F, 17 Shiujou Rd, Taipei 100, Taiwan (mike26@ha.mc.ntu.edu.tw). Address all correspondence to Dr Hsieh.

Ms Hsueh and Dr Hsieh provided concept/ideas/research design, writing, and fund procurement The fancy word for "purchasing." The procurement department within an organization manages all the major purchases. . Dr WC Wang provided data analysis and facilities/equipment. Dr Hsieh provided project management. Professor CH Wang provided institutional liaisons. Dr WC Wang, Professor CH Wang, Dr Sheu, Dr Lo, and Dr Lin provided consultation (including review of manuscript before submission).

The research protocol was approved by local institutional review boards.

This study was supported by research grants from the National Science Council (NSC NSC
abbr.
National Security Council

Noun 1. NSC - a committee in the executive branch of government that advises the president on foreign and military and national security; supervises the Central Intelligence Agency
 93-2314-B-002-033 and NSC 94-2314-B-002-078) and the National Health Research Institute (NHRI-EX94-9204PP).
Table 1.

Clinical Characteristics of Subjects With Stroke (N=351)

Characteristic (a)                             Value

Sex (no. of men/women)                         222/129
Age, y, median (25th-75th percentiles)         63 (53-71)
Month after onset, median                      12.5 (4-30)
  (25th-75th percentiles)
Diagnosis, no. (%) of subjects
  Cerebral hemorrhage                          113 (32)
  Cerebral infarction                          238 (68)
Side of paresis, no. (%) of subjects
  Right                                        175 (50)
  Left                                         176 (50)
STREAM score, median (25th-75th percentiles)
  Upper-limb movement raw score                9 (0-17)
  Lower-limb movement raw score                7 (3-14)
  Mobility raw score                           15 (8-21)
S-STREAM score, (b) mean (SD)
  Upper-limb movement score                    48.8 (26.4)
  Lower-limb movement score                    48.3 (24.0)
  Mobility score                               49.2 (22.9)

(a) STREAM = Stroke Rehabilitation Assessment of Movement,
S-STREAM = simplified STREAM.

(b) Rasch-transformed score ranging from 0 to 100.

Table 2.

Correlation Matrix for the Stroke Rehabilitation Assessment
of Movement With the Multidimensional Approach

                      Upper-Limb   Lower-Limb
Subscale              Movement     Movement

Lower-limb movement   .90

Mobility              .78          .84

Table 3.

Rasch Reliability for the 3 Subscales of the Stroke Rehabilitation
Assessment of Movement (STREAM) and the Simplified STREAM (S-STREAM)
With the Unidimensional and Multidimensional Approaches

                      27-Item STREAM

                                 Reliability
                      No. of
Subscale              Items      Unidimensional   Multidimensional

Upper-limb movement    8         .86              .93
Lower-limb movement    9         .91              .96
Mobility              10         .97              .98

                      S-STREAM

                                 Reliability

                      No. of
Subscale              Items      Unidimensional   Multidimensional

Upper-limb movement   5          .85              .91
Lower-limb movement   5          .88              .93
Mobility              5          .94              .95

Table 4.

Item Parameter Estimates for the Stroke Rehabilitation Assessment
of Movement (STREAM) and the Simplified STREAM (S-STREAM) With
the Multidimensional Approach

                                 27-Item STREAM      15-Item S-STREAM

                                 Difficulty   SE     Difficulty   SE
Item (a)                           Logit               Logit

Upper-limb movement
  Elbow extension while supine     -0.77      0.30     -0.78      0.32
  Raising hand to touch top
    of head                        -0.46      0.30
  Scapular protraction             -0.02      0.31      -0.1      0.30
  Making a fist                     1.21      0.32      1.05      0.31
  Moving hand to sacrum while
    sitting                         1.29      0.32
  Raising arm to fullest
    elevation                       1.50      0.32      1.31      0.31
  Supination and pronation          1.78      0.33
  Total extension of fingers        2.06      0.33      1.84      0.32
    Threshold 1                    -2.29      0.10     -2.15      0.11
    Threshold 2                     2.29      0.10      2.15      0.11

Lower-limb movement
  Knee extension while sitting     -2.12      0.27     -1.98      0.26
  Hip flexion while sitting        -0.83      0.26     -0.75      0.27
  Bending hip and knee while
    supine                         -0.40      0.26
  Knee flexion while sitting        0.87      0.27      0.84      0.27
  Knee flexion while standing       0.93      0.27
  Dorsiflexion while sitting        1.26      0.27
  Plantar flexion while
    sitting                         1.56      0.27      1.47      0.27
  Knee extension and
    dorsiflexion while sitting      2.12      0.28
  Dorsiflexion while standing       3.63      0.30      3.41      0.30
    Threshold 1                    -1.09      0.07     -1.07      0.08
    Threshold 2                     1.09      0.07      1.07      0.08

Mobility
  Rolling                          -3.77      0.24     -3.84      0.27
  Bridging (ie, raising hips
    off bed)                       -3.37      0.23
  Moving from supine to
    sitting                        -1.49      0.22     -1.52      0.21
  Standing for 20 counts by
    the rater                      -0.71      0.22
  Moving from sitting to
    standing                        0.32      0.22      0.30      0.23
  Placing affected foot onto
    first step                      0.68      0.22
  10-m walk                         1.32      0.22      1.28      0.22
  3 steps to affected side          1.40      0.22
  Walking down 3 stairs             2.16      0.22      2.11      0.22
  3 steps backward                  2.26      0.22
    Threshold 1                    -3.53      0.10     -3.47      0.13
    Threshold 2                     0.13      0.06     -0.13      0.06
    Threshold 3                     3.40      0.10      3.61      0.12

(a) The items selected for the S-STREAM are shown in italic type.
The items are arranged in ascending order of difficulty in each
subscale. Threshold indicates difficulty between the adjacent
scoring levels. Note that the items of the mobility subscale have
4 levels of scaling and thus have 3 thresholds.
COPYRIGHT 2006 American Physical Therapy Association, Inc.
No portion of this article can be reproduced without the express written permission from the copyright holder.
Copyright 2006, Gale Group. All rights reserved. Gale Group is a Thomson Corporation Company.

 Reader Opinion

Title:

Comment:



 

Article Details
Printer friendly Cite/link Email Feedback
Title Annotation:Research Report
Author:Hsieh, Ching-Lin
Publication:Physical Therapy
Date:Jul 1, 2006
Words:5480
Previous Article:Effects of a multimodal exercise program for people with ankylosing spondylitis.(Research Report)
Next Article:Clinimetric properties of the performance-oriented mobility assessment.(Research Report)



Related Articles
Reliability of the Fugl-Meyer assessment for testing motor performance in patients following stroke.
Post-Stroke Rehabilitation, vol. 16, A Clinical Practice Guideline.
Reliability of Scores on the Stroke Rehabilitation Assessment of Movement (STREAM) Measure.
Constraint-Induced Movement Therapy.(for patient with upper-extremity hemiparesis)
Mental Practice Combined With Physical Practice for Upper-Limb Motor Deficit in Subacute Stroke.
The stroke rehabilitation assessment of movement (STREAM): a comparison with other measures used to evaluate effects of stroke and rehabilitation....
Evidence-based rating of upper-extremity motor function tests used for people following a stroke.(Literature Review)
Psychometric properties of 2 simplified 3-level balance scales used for patients with stroke.(Research Report)
Application of combined botulinum toxin type a and modified constraint-induced movement therapy for an individual with chronic upper-extremity...
Pain, fatigue, and intensity of practice in people with stroke who are receiving constraint-induced movement therapy.(Research Report)

Terms of use | Copyright © 2009 Farlex, Inc. | Feedback | For webmasters | Submit articles