• Title/Summary/Keyword: Normal density

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Polynomially Adjusted Normal Approximation to the Null Distribution of Ansari-Bradley Statistic

  • Ha, Hyung-Tae;Yang, Wan-Youn
    • The Korean Journal of Applied Statistics
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    • v.24 no.6
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    • pp.1161-1168
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    • 2011
  • The approximation for the distribution functions of nonparametric test statistics is a significant step in statistical inference. A rank sum test for dispersions proposed by Ansari and Bradley (1960), which is widely used to distinguish the variation between two populations, has been considered as one of the most popular nonparametric statistics. In this paper, the statistical tables for the distribution of the nonparametric Ansari-Bradley statistic is produced by use of polynomially adjusted normal approximation as a semi parametric density approximation technique. Polynomial adjustment can significantly improve approximation precision from normal approximation. The normal-polynomial density approximation for Ansari-Bradley statistic under finite sample sizes is utilized to provide the statistical table for various combination of its sample sizes. In order to find the optimal degree of polynomial adjustment of the proposed technique, the sum of squared probability mass function(PMF) difference between the exact distribution and its approximant is measured. It was observed that the approximation utilizing only two more moments of Ansari-Bradley statistic (in addition to the first two moments for normal approximation provide) more accurate approximations for various combinations of parameters. For instance, four degree polynomially adjusted normal approximant is about 117 times more accurate than normal approximation with respect to the sum of the squared PMF difference.

Variable Density Yield Model for Irrigated Plantations of Dalbergia sissoo Grown Under Hot Arid Conditions in India

  • Tewari, Vindhya Prasad
    • Journal of Forest and Environmental Science
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    • v.28 no.4
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    • pp.205-211
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    • 2012
  • Yield tables are a frequently used data base for regional timber resource forecasting. A normal yield table is based on two independent variables, age and site (species constant), and applies to fully stocked (or normal) stands while empirical yield tables are based on average rather than fully stocked stands. Normal and empirical yield tables essentially have many limitations. The limitations of normal and empirical yield tables led to the development of variable density yield tables. Mathematical models for estimating timber yields are usually developed by fitting a suitable equation to observed data. The model is then used to predict yields for conditions resembling those of the original data set. It may be accurate for the specific conditions, but of unproven accuracy or even entirely useless in other circumstances. Thus, these models tend to be specific rather than general and require validation before applying to other areas. Dalbergia sissoo forms a major portion of irrigated plantations in the hot desert of India and is an important timber tree species where stem wood is primarily used as timber. Variable density yield model is not available for this species which is very crucial in long-term planning for managing the plantations on a sustained basis. Thus, the objective of this study was to develop variable density yield model based on the data collected from 30 sample plots of D. sissoo laid out in IGNP area of Rajasthan State (India) and measured annually for 5 years. The best approximating model was selected based on the fit statistics among the models tested in the study. The model develop was evaluated based on quantitative and qualitative statistical criteria which showed that the model is statistically sound in prediction. The model can be safely applied on D. sissooo plantations in the study area or areas having similar conditions.

Optimum LWA content in concrete based on k-value and physical-mechanical properties

  • Muda, Zakaria Che;Shafigh, Payam;Yousuf, Sumra;Mahyuddin, Norhayati Binti;Asadi, Iman
    • Advances in concrete construction
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    • v.14 no.3
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    • pp.215-225
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    • 2022
  • Thermal comfort and energy conservation are critical issues in the building sector. Energy consumption in the building sector should be reduced whilst enhancing the thermal comfort of occupants. Concrete is the most widely used construction material in buildings. Its thermal conductivity (k-value) has a direct effect on thermal comfort perception. This study aims to find the optimum value of replacing the normal aggregate with lightweight expanded clay aggregate (LECA) under high strengths and low thermal conductivity, density and water absorption. The k-value of the LECA concrete and its physical and mechanical properties have varying correlations. Results indicate that the oven-dry density, compressive strength, splitting tensile strength and k-value of concrete decrease when normal coarse aggregates are replaced with LECA. However, water absorption (initial and final) increases. Thermal conductivity and the physical and mechanical properties have a strong correlation. The statistical optimisation of the experimental data shows that the 39% replacement of normal coarse aggregate by LECA is the optimum value for maximising the compressive and splitting tensile strengths whilst maintaining the k-value, density and water absorption at a minimum.

Analysis of sEMG Median frequency and Ultrasound Image Echodensity of Normal Skeletal Muscle (정상 골격근의 근전도 중앙주파수 및 초음파 영상 밀도 분석)

  • Jeong, Jin-Gyu;Kim, Yong-Nam;Hwang, Tae-Yeun;Lee, Jeong-Woo;Kim, Tae-Youl
    • The Journal of Korean Physical Therapy
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    • v.18 no.1
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    • pp.83-94
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    • 2006
  • Purpose: This study conducts quantitative evaluation or structural and functional characteristics or normal skeletal muscle with ultrasound image and surface electromyography, and is to provide basic materials for utilizing ultrasound image analysis in physical therapy diagnosis and assessment of skeletal muscle. Methods: Measurement of three stages was conducted with 88 normal adults between their twenties and seventies, correlations and differences using collected data according to age and gender were compared and correlations among measured items were analyzed and then the following conclusions were obtained. Results: Analysis of ultrasound image of normal skeletal muscle showed that density, median frequency had the closest relations with age. In addition, it was found that there were high correlations between density explaining structural characteristics of skeletal muscle and median frequency explaining functional characteristics. Conclusion: Analysis of ultrasound image makes complex evaluation of structure and function of skeletal muscle possible when it is connected with functional evaluation method using physical measurement surface electromyography as well as quantitative evaluation of structural changes of skeletal muscle and is effective in complementing physical therapy diagnosis centering around functionality evaluation.

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Evaluation of normal morphology, DNA fragmentation, and hyaluronic acid binding ability of human spermatozoa after using four different commercial media for density gradient centrifugation

  • Lee, Dayong;Jee, Byung Chul
    • Clinical and Experimental Reproductive Medicine
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    • v.46 no.1
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    • pp.8-13
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    • 2019
  • Objective: Density gradient centrifugation (DGC) is frequently used to isolate high-motility fractions of spermatozoa. We compared the efficacy of four DGC media in terms of the percentage of morphologically normal spermatozoa, DNA fragmentation level, and hyaluronic acid (HA) binding ability. Methods: Thirty men with a total motile spermatozoa count > 80 million participated. Semen samples were divided into four aliquots, which were processed using PureSperm, PureCeption, Sidney, and SpermGrad media, respectively. The DNA fragmentation level was measured using the Halosperm assay kit and HA binding ability was measured using the HBA assay kit. Results: The mean percentage of morphologically normal spermatozoa was significantly enhanced after DGC using all four media (10.3%, 9.9%, 9.8%, and 10.7%, respectively; p< 0.05 for each when compared with 6.9% in raw semen). The DNA fragmentation level was significantly reduced after DGC using PureSperm, PureCeption, and SpermGrad media (6.0%, 6.5%, and 4.9%, respectively; p< 0.05 for each when compared with 11.2% in raw semen), but not after DGC using Sidney media (8.5%, p> 0.05). HA binding ability did not change after DGC using any of the four media. Conclusion: The four media were equally effective for obtaining a sperm fraction with highly motile, morphologically normal sperm. PureSperm, PureCeption, and SpermGrad media were equally effective for acquiring a sperm fraction with less DNA fragmentation.

Cholesterol Lowering Effect of Enzymatic Hydrolysates of Squid in Rats

  • Park, Ju-Hyun;Lee, Jung-Eun;Kim, Sang-Moo;Kwak, Hae-Soo
    • Food Science and Biotechnology
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    • v.18 no.6
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    • pp.1541-1544
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    • 2009
  • This study evaluated effects of enzymatic hydrolysates of squid on cholesterol lowering in rats. Thirty male rats were blocked into 3 groups [high cholesterol diet (control), 5% normal squid, and 5% enzymatic hydrolysates of squid] and were raised for 10 weeks. Triglyceride level in enzymatic hydrolysates of squid-fed rats was lower than that in the control. Serum low density lipoprotein-cholesterol level followed in the order of control>normal squid>enzymatic hydrolysates. Serum high density lipoprotein-cholesterol level in enzymatic hydrolysates of squid-fed rats was higher than that in control rats. Liver cholesterol level in enzymatic hydrolysates of squid-fed rats was lower than that in control rats.

Deformation in a nonlocal magneto-thermoelastic solid with hall current due to normal force

  • Lata, Parveen;Singh, Sukhveer
    • Geomechanics and Engineering
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    • v.22 no.2
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    • pp.109-117
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    • 2020
  • The present article is concerned about the study of disturbances in a homogeneous nonlocal magneto-thermoelastic medium under the combined effects of hall current, rotation and two temperatures. The model under assumption has been subjected to normal force. Laplace and Fourier transform have been used for finding the solution to the field equations. The analytical expressions for conductive temperature, stress components, normal current density, transverse current density and displacement components have been obtained in the physical domain using a numerical inversion technique. The effects of hall current and nonlocal parameter on resulting quantities have been depicted graphically. Some particular cases have also been figured out from the current work. The results can be very important for the researchers working in the field of magneto-thermoelastic materials, nonlocal thermoelasticity, geophysics etc.

A Review on Nonparametric Density Estimation Using Wavelet Methods

  • Sungho;Hwa Rak
    • Communications for Statistical Applications and Methods
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    • v.7 no.1
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    • pp.129-140
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    • 2000
  • Wavelets constitute a new orthogonal system which has direct application in density estimation. We introduce a brief wavelet density estimation and summarize some asymptotic results. An application to mixture normal distributions is implemented with S-Plus.

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A Clinical Study on the correlation between Bone Mineral Density (BMD) and Obesity in 480 normal adults (성인남녀 480명에서의 골밀도와 비만의 상관관계에 관한 임상적 연구)

  • Jang Soo-Jin;Kim Jeoung-Yeun;Yook Tae-Han
    • Journal of Acupuncture Research
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    • v.15 no.2
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    • pp.383-392
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    • 1998
  • Osteoporosis is the most common metabolic disease of the bone, and constitutes one of the most important major pubulic health problems world wide. Therefore, in order to be helped early diagnosis, treatment and prevention of osteoporosis, measurement of Bone Mineral Density (BMD) is to be needed. Authors has analysed Bone Mineral Density (BMD) of 480 normal adults who visited woo suk unoversity Oriental Meclical Center from April 1998 to July 1998. The aims of this study is to investigate correlation between Bone Mineral Density (BMD) and age distribution, to examine the correlation between Bone Mineral Density (BMD) and Obesity. The results were as follows. 1. In distribution of age, the peak bone density of lumbar spine was noted around 30 years, and the peak bone density of the femoral neck was noted around 20 years. The age related loss of bone density follows soon after peak density. And the signifficant difference was revealed between lumbar spine and femoral neck bone density (p<0.001) 2. In distribution of sex, the bone density in male was signifficantly higher than in female (p<0.001). 3. In the correlation between Bone Mineral Density (BMD) and Obesity, Bone Mineral Density (BMD) in obese group was signifficantly higher than in non-obese group. Especially, in female from 50 up to 69 years, BMD had a positive correlation with Body mass index(BMI).

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Prognostic Value of Artificial Intelligence-Driven, Computed Tomography-Based, Volumetric Assessment of the Volume and Density of Muscle in Patients With Colon Cancer

  • Minsung Kim;Sang Min Lee;Il Tae Son;Taeyong Park;Bo Young Oh
    • Korean Journal of Radiology
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    • v.24 no.9
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    • pp.849-859
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    • 2023
  • Objective: The prognostic value of the volume and density of skeletal muscles in the abdominal waist of patients with colon cancer remains unclear. This study aimed to investigate the association between the automated computed tomography (CT)-based volume and density of the muscle in the abdominal waist and survival outcomes in patients with colon cancer. Materials and Methods: We retrospectively evaluated 474 patients with colon cancer who underwent surgery with curative intent between January 2010 and October 2017. Volumetric skeletal muscle index and muscular density were measured at the abdominal waist using artificial intelligence (AI)-based volumetric segmentation of body composition on preoperative pre-contrast CT images. Patients were grouped based on their skeletal muscle index (sarcopenia vs. not) and muscular density (myosteatosis vs. not) values and combinations (normal, sarcopenia alone, myosteatosis alone, and combined sarcopenia and myosteatosis). Postsurgical disease-free survival (DFS) and overall survival (OS) were analyzed using univariable and multivariable analyses, including multivariable Cox proportional hazard regression. Results: Univariable analysis showed that DFS and OS were significantly worse for the sarcopenia group than for the non-sarcopenia group (P = 0.044 and P = 0.003, respectively, by log-rank test) and for the myosteatosis group than for the non-myosteatosis group (P < 0.001 by log-rank test for all). In the multivariable analysis, the myosteatotic muscle type was associated with worse DFS (adjusted hazard ratio [aHR], 1.89 [95% confidence interval, 1.25-2.86]; P = 0.003) and OS (aHR, 1.90 [95% confidence interval, 1.84-3.04]; P = 0.008) than the normal muscle type. The combined muscle type showed worse OS than the normal muscle type (aHR, 1.95 [95% confidence interval, 1.08-3.54]; P = 0.027). Conclusion: Preoperative volumetric sarcopenia and myosteatosis, automatically assessed from pre-contrast CT scans using AI-based software, adversely affect survival outcomes in patients with colon cancer.