In this study, we investigate how Wilks’ lambda, Pillai’s trace, Hotelling’s trace, and Roy’s largest root test statistics can be affected when the normal and homogeneous variance assumptions of the MANOVA method are violated. In other words, in these cases, the robustness of the tests is examined. For this purpose, a simulation study is conducted in different scenarios. In different variable numbers and different sample sizes, considering the group variances are homogeneous σ12=σ22=⋯=σg2 and heterogeneous (increasing) σ12<σ22<⋯<σg2, random numbers are generated from Gamma(4-4-4; 0.5), Gamma(4-9-36; 0.5), Student’s t(2), and Normal(0; 1) distributions. Furthermore, the number of observations in the groups being balanced and unbalanced is also taken into account. After 10000 repetitions, type-I error values are calculated for each test for α = 0.05. In the Gamma distribution, Pillai’s trace test statistic gives more robust results in the case of homogeneous and heterogeneous variances for 2 variables, and in the case of 3 variables, Roy’s largest root test statistic gives more robust results in balanced samples and Pillai’s trace test statistic in unbalanced samples. In Student’s t distribution, Pillai’s trace test statistic gives more robust results in the case of homogeneous variance and Wilks’ lambda test statistic in the case of heterogeneous variance. In the normal distribution, in the case of homogeneous variance for 2 variables, Roy’s largest root test statistic gives relatively more robust results and Wilks’ lambda test statistic for 3 variables. Also in the case of heterogeneous variance for 2 and 3 variables, Roy’s largest root test statistic gives robust results in the normal distribution. The test statistics used with MANOVA are affected by the violation of homogeneity of covariance matrices and normality assumptions particularly from unbalanced number of observations.
[Purpose] The aim of our study was to compare the initial effects of scapular
proprioceptive neuromuscular facilitation techniques and classic exercise interventions
with physiotherapy modalities on pain, scapular dyskinesis, range of motion, and function
in adhesive capsulitis. [Subjects and Methods] Fifty-three subjects were allocated to 3
groups: scapular proprioceptive neuromuscular facilitation exercies and physiotherapy
modalities, classic exercise and physiotherapy modalities, and only physiotherapy
modalities. The intervention was applied in a single session. The Visual Analog Scale,
Lateral Scapular Slide Test, range of motion and Simple Shoulder Test were evaluated
before and just after the one-hour intervention in the same session (all in one session).
[Results] All of the groups showed significant differences in shoulder flexion and
abduction range of motion and Simple Shoulder Test scores. There were statistically
significant differences in Visual Analog Scale scores in the proprioceptive neuromuscular
facilitation and control groups, and no treatment method had significant effect on the
Lateral Scapular Slide Test results. There were no statistically significant differences
between the groups before and after the intervention. [Conclusion] Proprioceptive
neuromuscular facilitation, classic exercise, and physiotherapy modalities had immediate
effects on adhesive capsulitis in our study. However, there was no additional benefit of
exercises in one session over physiotherapy modalities. Also, an effective treatment
regimen for shoulder rehabilitation of adhesive capsulitis patients should include
scapular exercises.
[Purpose] The aim of this study was to investigate the influence of gender and family
factors on performance in the fine motor domain of the Denver II developmental screening
test. [Subjects and Methods] Data were obtained from 2038 healthy children, 999 boys (49%)
and 1039 girls (51%) in four age groups: 0–24 months (57%), 25–40 months (21.1%), 41–56
months (10.4%), and 57–82 months (11.5%). [Results] Female gender, higher maternal age,
especially in children older than 24 months, and higher maternal education were associated
with earlier accomplishment of fine motor items. Higher socioeconomic status was
correlated with fine motor skills more noticeably at young ages. [Conclusion] The results
of this study support the role of environmental factors in the interpretation of fine
motor test results and point to target groups for intervention, such as infants in the low
socioeconomic group and preschool children of less educated mothers. Studies in different
populations may reveal particular patterns that affect child development.
Turkish version of LLFI was found to be valid and reliable for the measurement of lower limb function in a Turkish population. Implications for Rehabilitation Lower extremity musculoskeletal disorders are common and greatly impact activities among the affected individuals pertaining to daily living, work, leisure and quality of life. Patient-reported outcome (PRO) measures have advantages as they are practical, cost-effective and clinically convenient for use in patient-centered care. The Lower Limb Functional Index is a recently validated PRO measure shown to have strong clinimetric properties.
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