• Title/Summary/Keyword: Combining p-values

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Combining Independent Permutation p Values Associated with Mann-Whitney Test Data

  • Um, Yonghwan
    • Journal of the Korea Society of Computer and Information
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    • v.23 no.7
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    • pp.99-104
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    • 2018
  • In this paper, we compare Fisher's continuous method with an exact discrete analog of Fisher's continuous method from permutation tests for combining p values. The discrete analog of Fisher's continuous method is known to be adequate for combining independent p values from discrete probability distributions. Also permutation tests are widely used as alternatives to conventional parametric tests since these tests are distribution-free, and yield discrete probability distributions and exact p values. In this paper, we obtain permutation p values from discrete probability distributions using Mann-Whitney test data sets (real data and hypothetical data) and combine p values by the exact discrete analog of Fisher's continuous method.

Combining Independent Permutation p-Values Associated with Multi-Sample Location Test Data

  • Um, Yonghwan
    • Journal of the Korea Society of Computer and Information
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    • v.25 no.7
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    • pp.175-182
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    • 2020
  • Fisher's classical method for combining independent p-values from continuous distributions is widely used but it is known to be inadequate for combining p-values from discrete probability distributions. Instead, the discrete analog of Fisher's classical method is used as an alternative for combining p-values from discrete distributions. In this paper, firstly we obtain p-values from discrete probability distributions associated with multi-sample location test data (Fisher-Pitman test and Kruskall-Wallis test data) by permutation method, and secondly combine the permutaion p-values by the discrete analog of Fisher's classical method. And we finally compare the combined p-values from both the discrete analog of Fisher's classical method and Fisher's classical method.

New Method for Combining P-values in Meta-Analysis (메타분석에서 새로운 P-Value 결합 방법)

  • Seon, Jeongyeon;Kim, Dongjae
    • The Korean Journal of Applied Statistics
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    • v.26 no.5
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    • pp.797-806
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    • 2013
  • Meta-analysis is used in variety of areas to synthesize the results of previous studies. Among the methods for Meta-analysis, combining p-values is the simplest method; in addition Tippett (1931), Fisher (1932), Stuoffer at al. (1949), proposed various methods to combine p-values. We propose a new method to combine p-values based on exponential distribution. A Monte Carlo simulation study compares the power of the proposed methods with previous methods.

Methods of Combining P-values for Multiple Endpoints of Various Data Types (제 3상 임상시험에서 여러 형태 반응변수의 다변량 검정법인 P값 병합법)

  • Kim, Su-Young;Song, Hae-Hiang
    • The Korean Journal of Applied Statistics
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    • v.21 no.1
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    • pp.35-51
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    • 2008
  • Comparative studies in Phase III clinical trials quite often involve two or more equally important endpoints, and one cannot select primary endpoint from them. O'Brien(1984) proposed for continuous endpoints the OLS and GLS statistics as milti-variate test statistics. Pocock et al. (1987) mentioned the possibility of analyzing a mixture of data types, such as quantitative, binary and survival data types, with the OLS and GLS statistics, but the authors did not explore problems in combining several endpoints of different types. Furthermore, they did not perform a simulation study to assess the efficiencies of the OLS and GLS statistics for endpoints of a mixture of data types. In this paper, we propose the combining methods of correlated P-values for the analysis of multiple endpoints, and compare the efficiencies of this method with those of OLS and GLS statistics for a mixture of data types with a simulation study. Among the several methods of combining P-values that are more advantageous than combining of OLS and GLS statistics, method B maintains nominal significance levels and is more efficient, while method F and G have type I error rates that are larger than the specified significance levels, which might occasionally lead to a wrong conclusion.

Simultaneous Tests with Combining Functions under Normality

  • Park, Hyo-Il
    • Communications for Statistical Applications and Methods
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    • v.22 no.6
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    • pp.639-646
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    • 2015
  • We propose simultaneous tests for mean and variance under the normality assumption. After formulating the null hypothesis and its alternative, we construct test statistics based on the individual p-values for the partial tests with combining functions and derive the null distributions for the combining functions. We then illustrate our procedure with industrial data and compare the efficiency among the combining functions with individual partial ones by obtaining empirical powers through a simulation study. A discussion then follows on the intersection-union test with a combining function and simultaneous confidence region as a simultaneous inference; in addition, we discuss weighted functions and applications to the statistical quality control. Finally we comment on nonparametric simultaneous tests.

Effects of Combining Lower Extremity Strength Exercise With Aerobic Exercise on Lung Capacity and Lower Extremity Muscle Activity in Young Adults (다리근력운동과 유산소운동을 결합한 복합운동이 젊은 성인의 폐활량 및 다리근 활성도에 미치는 영향)

  • Yang-Jin Lee;Dong-Woo Kim
    • Journal of The Korean Society of Integrative Medicine
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    • v.11 no.2
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    • pp.69-76
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    • 2023
  • Purpose : This study aimed to compare lung capacity measures (forced vital capacity; FVC, forced expiratory volume at 1 second; FEV1, and FEV1/FVC) and the activities of rectus femoris (RF) and gastrocnemius (GCM) muscles between young adults prescribed aerobic exercise combined with lower limb strength exercise (complex exercise) and those prescribed only aerobic exercise. Methods : We randomly divided 22 young adults into 2 groups: the complex exercise group that combined the leg strengthening and aerobic exercises (n = 11) and the aerobic-exercise-only group (n=11). Before the intervention, the FVC, FEV1, and FEV1/FVC values and the activities of RF and GCM muscles were measured. Measurements were in triplicates, and the average of the 3 measurements was used. The complex exercise group performed the treadmill exercise followed by squats and lunges, and the group performed only the treadmill exercise. Both groups were allocated the same time. Both groups performed the assigned exercise thrice a week for 3 weeks. After the intervention, the FVC, FEV1, and FEV1/FVC values and the activities of RF and GCM muscles were measured again. Results : The FVC and FEV1 values increased significantly in both groups after the intervention (p<.05). RF activity increased significantly after the intervention in the complex exercise group (p<.05), and the magnitude of change in RF activity after the intervention was significantly higher in the complex exercise group than in the aerobic-exercise-only group (p<.05). GCM activity also significantly increased after the intervention in both groups (p<.05). Conclusion : On the basis of our results, we recommend combining leg strengthening and aerobic exercise to improve leg muscle activity along with lung function.

Influence of reconstruction parameters of micro-computed tomography on the analysis of bone mineral density

  • Gaeta-Araujo, Hugo;Nascimento, Eduarda Helena Leandro;Brasil, Danieli Moura;Madlum, Daniela Verardi;Haiter-Neto, Francisco;Oliveira-Santos, Christiano
    • Imaging Science in Dentistry
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    • v.50 no.2
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    • pp.153-159
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    • 2020
  • Purpose: This study was conducted evaluate the influence of reconstruction parameters of micro-computed tomography (micro-CT) images on bone mineral density (BMD) analyses. Materials and Methods: The sample consisted of micro-CT images of the maxillae of 5 Wistar rats, acquired using a SkyScan 1174 unit (Bruker, Kontich, Belgium). Each acquisition was reconstructed following the manufacturer's recommendations(standard protocol; SP) for the application of artifact correction tools(beam hardening correction [BHC], 45%; smoothing filter, degree 2; and ring artifact correction [RAC], level 5). Additionally, images were reconstructed with 36 protocols combining different settings of artifact correction tools (P0 to P35). BMD analysis was performed for each reconstructed image. The BMD values obtained for each protocol were compared to those obtained using the SP through repeated-measures analysis of variance with the Dunnett post hoc test(α=0.05). Results: The BMD values obtained from all protocols that used a BHC of 45% did not significantly differ from those obtained using the SP (P>0.05). The other protocols all yielded significantly different BMD values from the SP(P<0.05). The smoothing and RAC tools did not affect BMD values. Conclusion: BMD values measured on micro-CT images were influenced by the BHC level. Higher levels of BHC induced higher values of BMD.

Effect of Drainage System on ET and Drainage Flows

  • ;Ph.D.,P.E.
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.34 no.E
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    • pp.12-19
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    • 1992
  • The effects of drainage system on evapotranspiration and drainage flows are studied. Data from drainage field experiment at Castalia in North Central Branch, Ohio Agricultural Research and Development Center were used in this study. A water table management model, ADATP (Agricultural Drainage and Pesticide Transport), which was developed by combining the GLEAMS and the subsurface drainage part of the DRAINMOD model with several modifications, was evaluated and used to predict hydrologic components. The ET is very much affected by the presence of tile drainage system but not significantly affected by the surface drainage system. The combined surface and subsurface drainage system gives the largest total outflow values while the surface drainage only system gives the smallest. Comparisons of model predicted and measured values of surface runoff only, subsurface drainage only, and combined surface runoff and subsurface drainage system are in satisfactory agreement. The model predicted values are within the range of the variations of the observed replications in general. Based on the results of the model evaluation study, it is concluded that ADAPT model can be used to design water table management systems.

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Tensile Properties and Thermal Stability of Cellulose Nanofibril/Clay Nanocomposites

  • Park, Byung-Dae;Singh, Adya P.;Um, In Chul
    • Current Research on Agriculture and Life Sciences
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    • v.31 no.1
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    • pp.18-24
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    • 2013
  • This work attempted to fabricate organic/inorganic nanocomposite by combining organic cellulose nanofibrils (CNFs), isolated by 2,2,6,6-tetramethylpiperidine-1-oxy radical (TEMPO)-mediated oxidation of native cellulose with inorganic nanoclay. The morphology and dimension of CNFs, and tensile properties and thermal stability of CNF/clay nanocomposites were characterized by transmission electron microscope (TEM), tensile test, and thermogravimetry (TG), respectively. TEM observation showed that CNFs were fibrillated structure with a diameter of about $4.86{\pm}1.341nm$. Tensile strength and modulus of the hybrid nanocomposite decreased as the clay content of the nanocomposite increased, indicating a poor dispersion of CNFs or inefficient stress transfer between the CNFs and clay. The elongation at break increased at 1% clay level and then continuously decreased as the clay content increased, suggesting increased brittleness. Analysis of TG and derivative thermogravimetry (DTG) curves of the nanocomposites identified two thermal degradation peak temperatures ($T_{p1}$ and $T_{p2}$), which suggested thermal decomposition of the nanocomposites to be a two steps-process. We think that $T_{p1}$ values from $219.6^{\circ}C$ to $235^{\circ}C$ resulted from the sodium carboxylate groups in the CNFs, and that $T_{p2}$ values from $267^{\circ}C$ to $273.5^{\circ}C$ were mainly responsible for the thermal decomposition of crystalline cellulose in the nanocomposite. An increase in the clay level of the CNF/clay nanocomposite predominately affected $T_{p2}$ values, which continuously increased as the clay content increased. These results indicate that the addition of clay improved thermal stability of the CNF/clay nanocomposite but at the expense of nanocomposite's tensile properties.

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DECISION MAKING USING CUBIC HYPERSOFT TOPSIS METHOD

  • A. BOBIN;P. THANGARAJA;H. PRATHAB;S. THAYALAN
    • Journal of applied mathematics & informatics
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    • v.41 no.5
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    • pp.973-988
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    • 2023
  • In real-life scenarios, we may have to deal with real numbers or numbers in intervals or a combination of both to solve multi-criteria decision-making (MCDM) problems. Also, we may come across a situation where we must combine this interval and actual number membership values into a single real number. The most significant factor in combining these membership values into a single value is by using aggregation operators or scoring algorithms. To overcome such a situation, we suggest the cubic hypersoft set (CHSS) concept as a workaround. Ultimately, this makes it simple for the decision-maker to obtain information without misconceptions. The primary aim of this study is to establish some operational laws for the cubic hypersoft set, present the fundamental properties of aggregation operators and propose an algorithm by using the technique of order of preference by similarity to the ideal solution (TOPSIS) technique based on correlation coefficients to analyze the stress-coping skills of workers.