scholarly journals Confidence Intervals for Assessing Non-Inferiority with Assay Sensitivity in a Three-Arm Trial with Normally Distributed Endpoints

Mathematics ◽  
2022 ◽  
Vol 10 (2) ◽  
pp. 167
Author(s):  
Niansheng Tang ◽  
Fan Liang
Keyword(s):  
Hypothesis Test ◽  
Parametric Bootstrap ◽  
Simulation Studies ◽  
Assay Sensitivity ◽  
Coverage Probabilities ◽  
Empirical Coverage ◽  
Fiducial Method ◽  
Work Done ◽  
Better Than ◽  
Normally Distributed

Various approaches including hypothesis test and confidence interval (CI) construction have been proposed to assess non-inferiority and assay sensitivity via a known fraction or pre-specified margin in three-arm trials with continuous or discrete endpoints. However, there is little work done on the construction of the non-inferiority margin from historical data and simultaneous generalized CIs (SGCIs) in a three-arm trial with the normally distributed endpoints. Based on the generalized fiducial method and the square-and-add method, we propose two simultaneous CIs for assessing non-inferiority and assay sensitivity in a three-arm trial. For comparison, we also consider the Wald-type Bonferroni simultaneous CI and parametric bootstrap simultaneous CI. An algorithm for evaluating the optimal sample size for attaining the pre-specified power is given. Simulation studies are conducted to investigate the performance of the proposed CIs in terms of their empirical coverage probabilities. An example taken from the mildly asthmatic study is illustrated using the proposed simultaneous CIs. Empirical results show that the proposed generalized fiducial method and the square-and-add method behave better than other two compared CIs.

Confidence Intervals for the Ratio of the Coefficients of Variation of Inverse-Gamma Distributions

2021 ◽  
Author(s):  
Theerapong Kaewprasert ◽  
Sa-Aat Niwitpong ◽  
Suparat Niwitpong
Keyword(s):  
Confidence Intervals ◽  
Bayesian Method ◽  
Simulation Studies ◽  
Jeffreys Prior ◽  
Inverse Gamma ◽  
Gamma Distributions ◽  
Coefficients Of Variation ◽  
Coverage Probabilities ◽  
Percentile Bootstrap ◽  
Better Than

Herein, we present four methods for constructing confidence intervals for the ratio of the coefficients of variation of inverse-gamma distributions using the percentile bootstrap, fiducial quantities, and Bayesian methods based on the Jeffreys and uniform priors. We compared their performances using coverage probabilities and expected lengths via simulation studies. The results show that the confidence intervals constructed with the Bayesian method based on the uniform prior and fiducial quantities performed better than those constructed with the Bayesian method based on the Jeffreys prior and the percentile bootstrap. Rainfall data from Thailand was used to illustrate the efficacies of the proposed methods.

scholarly journals Eksperimen model pembelajaran MMP dan Problem Solving terhadap kemampuan pemecahan masalah siswa

2020 ◽  
Vol 2 (2) ◽  
pp. 131-141
Author(s):  
Ika Risti Nurhaliza ◽  
Isnaeni Maryam
Keyword(s):  
Problem Solving ◽  
Hypothesis Test ◽  
Mathematical Problem ◽  
Sampling Technique ◽  
Learning Model ◽  
Mathematics Problem Solving ◽  
Quasi Experimental ◽  
Mathematics Problem ◽  
Better Than ◽  
Normally Distributed

The purpose of this study was to determine whether the mathematics problem-solving abilities of students who received the Missouri Mathematics Project (MMP) learning model were better than the mathematics problem-solving abilities of students who received the Problem Solving learning model. The research was conducted at MTs Al-Iman Bulus Purworejo class IX A and IX B. The research method used was a quasi-experimental design, which refers to the instrument of students' mathematical problem-solving abilities. The study population came from grade IX students, with a total of 401 students. The sampling technique was cluster random sampling. The prerequisite test of normality, homogeneity, and balance before treatment showed that the data were normally distributed, homogeneous, and balanced. The prerequisite test for normality and homogeneity of the data after treatment showed that the data were normally distributed and homogeneous. The hypothesis test calculation using the t-test obtained of 2,2431 and with α = 5% ( ) of 1,6667. Based on the hypothesis testing results, the value of then is rejected; this means that the problem-solving ability of students who receive the MMP learning model is better than students who receive the Problem Solving learning model.

Kemampuan Komunikasi Matematika: Studi Komparasi Pembelajaran Number Head Together (NHT) dan Media Power Point (PPT)

2020 ◽  
Vol 3 (1) ◽  
pp. 39-50
Author(s):  
Bernadeta Ritawati ◽  
Sri Wahyuni
Keyword(s):  
Communication Skills ◽  
Hypothesis Test ◽  
Test Results ◽  
Mathematical Communication ◽  
Cluster Technique ◽  
Significance Level ◽  
Quasi Experimental ◽  
Power Point ◽  
Media Power ◽  
Better Than

This research is a quasi-experimental study that aims to determine the comparison of students' mathematical communication abilities with the cooperative learning model of the NHT and PPT media in class VII SMP Negeri 02 Ngabang. The population in this study were all students of class VII SMP 02 Ngabang consisting of 3 classes. The sample in this study was taken by using the Random Sampling Cluster technique. Class VII A as class I experimental class with 24 students and class VII B as a experimental class II with 24 students. The instruments used were pretest and posttest in the form of description. Data analysis uses the t test with a significance level of 5%. The results showed the average posttest for the NHT class was 72.5 and the average posttest for the PP class was 66.666. From the posttest hypothesis test results obtained t hitung> t tabel (1.9522> 1,667). Because t_hitung> t_tabel, H_0 is rejected and H_a is accepted. This means that students' mathematical communication skills taught with the NHT are better than using Power point media.

scholarly journals Parametric bootstrap estimators for hybrid inference in forest inventories

2017 ◽  
Vol 91 (3) ◽  
pp. 354-365 ◽  
Author(s):  
Mathieu Fortin ◽  
Rubén Manso ◽  
Robert Schneider
Keyword(s):  
Multiple Imputation ◽  
Nonlinear Models ◽  
Parametric Bootstrap ◽  
Simulation Studies ◽  
Variance Estimator ◽  
Resampling Methods ◽  
Forest Inventories ◽  
Point Estimator ◽  
Complex Models ◽  
High Level

Abstract In forestry, the variable of interest is not always directly available from forest inventories. Consequently, practitioners have to rely on models to obtain predictions of this variable of interest. This context leads to hybrid inference, which is based on both the probability design and the model. Unfortunately, the current analytical hybrid estimators for the variance of the point estimator are mainly based on linear or nonlinear models and their use is limited when the model reaches a high level of complexity. An alternative consists of using a variance estimator based on resampling methods (Rubin, D. B. (1987). Multiple imputation for nonresponse surveys. John Wiley & Sons, Hoboken, New Jersey, USA). However, it turns out that a parametric bootstrap (BS) estimator of the variance can be biased in contexts of hybrid inference. In this study, we designed and tested a corrected BS estimator for the variance of the point estimator, which can easily be implemented as long as all of the stochastic components of the model can be properly simulated. Like previous estimators, this corrected variance estimator also makes it possible to distinguish the contribution of the sampling and the model to the variance of the point estimator. The results of three simulation studies of increasing complexity showed no evidence of bias for this corrected variance estimator, which clearly outperformed the BS variance estimator used in previous studies. Since the implementation of this corrected variance estimator is not much more complicated, we recommend its use in contexts of hybrid inference based on complex models.

COMPUTING THE RUPTURE DEGREE IN COMPOSITE GRAPHS

2010 ◽  
Vol 21 (03) ◽  
pp. 311-319 ◽  
Author(s):  
AYSUN AYTAC ◽  
ZEYNEP NIHAN ODABAS
Keyword(s):  
Complete Graph ◽  
Connected Graph ◽  
The Other ◽  
Trade Off ◽  
Number Of Components ◽  
Np Complete ◽  
Work Done ◽  
Better Than

The rupture degree of an incomplete connected graph G is defined by [Formula: see text] where w(G - S) is the number of components of G - S and m(G - S) is the order of a largest component of G - S. For the complete graph Kn, rupture degree is defined as 1 - n. This parameter can be used to measure the vulnerability of a graph. Rupture degree can reflect the vulnerability of graphs better than or independent of the other parameters. To some extent, it represents a trade-off between the amount of work done to damage the network and how badly the network is damaged. Computing the rupture degree of a graph is NP-complete. In this paper, we give formulas for the rupture degree of composition of some special graphs and we consider the relationships between the rupture degree and other vulnerability parameters.

scholarly journals PERBEDAAN PEMAHAMAN KONSEP MATEMATIKA ANTARA SISWA YANG BELAJAR DENGAN MENGGUNAKAN MODEL PEMBELAJARAN KOOPERATIF TIPE JIGSAW DAN KONVENSIONAL

Aksioma ◽  
2019 ◽  
Vol 8 (2) ◽  
pp. 171-178
Author(s):  
Siti Hadijah ◽  
Sutji Rochaminah ◽  
Maxinus Jaeng
Keyword(s):  
Standard Deviation ◽  
Cooperative Learning ◽  
Random Sampling ◽  
Hypothesis Test ◽  
Control Design ◽  
Learning Model ◽  
Average Score ◽  
Concept Understanding ◽  
Cluster Random Sampling ◽  
Better Than

Abstrak: Penelitian ini bertujuan untuk mengetahui apakah pemahaman konsep matematika siswa yang belajar dengan menggunakan model pembelajaran kooperatif tipe jigsaw lebih baik daripada pemahaman konsep matematika siswa yang belajar dengan menggunakan model pembelajaran konvensional di Kelas IX MTs Negeri 1 Kota Palu. Hipotesis penelitian ini adalah pemahaman konsep matematika siswa yang belajar dengan menggunakan model pembelajaran kooperatif tipe jigsaw lebih baik daripada pemahaman konsep matematika siswa yang belajar dengan menggunakan pembelajaran konvensional. Jenis penelitian ini adalah eksperimen semu. Desain penelitian ini adalah pre-post test control design. Populasi penelitian ini adalah seluruh siswa kelas IX MTs Negeri 1 Kota Palu dengan teknik pengambilan sampel cluster random sampling. Nilai rata-rata siswa kelas eksperimen 47 dan standar deviasi 17,04 sedangkan nilai rata-rata siswa kelas kontrol 40 dan standar deviasi 13,40. Data yang diperoleh berdistribusi normal dan homogen, maka pengujian hipotesis menggunakan teknis statistik parametris yaitu uji t. Hasil pengujian hipotesis diperoleh bahwa nilai ????tabel = 1,67 dan ????hitung = 2,96 sehingga H1 diterima dan H0 ditolak. Hal ini menunjukkan bahwa pemahaman konsep matematika siswa yang belajar dengan menggunakan model pembelajaran kooperatif tipe jigsaw lebih baik daripada pemahaman konsep matematika siswa yang belajar dengan menggunakan model pembelajaran konvensional di kelas IX MTsN 1 Kota Palu. Kata Kunci:   Model Pembelajaran Kooperatif Tipe Jigsaw, Model Pembelajaran Konvensional,  dan Pemahaman Konsep   Abstract: This research purposed to determine is mathematics concept understanding students who learn by using jigsaw cooperative learning model better than students who learn by using conventional learning model in class IX MTs Negeri 1 Kota Palu. The hypothesis is that mathematics concept understanding students who learn by using jigsaw cooperative learning model better than students who learn by using conventional learning model. The type of research is a quasi experiment. Design of research is pre-post control design. The population of this research is all students of class IX  MTs Negeri 1 Kota Palu with samples taken by cluster random sampling technique. The average score of the experiment class students is 47 and standard deviation is 17.04 and the average score of the control class students is 40 and standard deviation is 13.40. The data is normal distribution and homogen, hypothesis test using t test. Results of hypothesis test obtained value ????table = 1.67 and ????count = 2.96 it means H1 is accepted and H0 is rejected. This indicated that mathematics concept understanding students who learn by using jigsaw cooperative learning model have better than mathematics concept understanding students who learn by using conventional learning model in class IX MTsN 1 Kota Palu. Keywords:  Jigsaw Cooperative Learning Model, Conventional Learning Model, and Concept Understanding

scholarly journals PENERAPAN MODEL PEMBELAJARAN THINK TALK WRITE (TTW) TERHADAP KEMAMPUAN KOMUNIKASI MATEMATIS SISWA

2019 ◽  
Vol 4 (2) ◽  
pp. 190-195
Author(s):  
Fitri Ramadhani ◽  
Delima Septiani
Keyword(s):  
Middle School ◽  
Communication Skills ◽  
Hypothesis Test ◽  
Control Group ◽  
Learning Models ◽  
Mathematical Communication ◽  
Control Group Design ◽  
Group Design ◽  
Analysis Technique ◽  
Better Than

Abstract. The purpose of this study was to determine the mathematical communication skills of class VII students at Muhammadiyah Middle School in Pasir Penyu. This type of research is a Quasi Experiment with the design of Randomized Subject Posttest-Only Control Group Design. The data analysis technique in this test uses the t-test. Based on the calculation of the hypothesis test shows the significant value of the sample class is 0.003 <0.05. Based on these results, H0 is rejected and Ha is accepted. So it can be concluded that the mathematical communication skills of students using the think talk write learning model is better than the mathematical communication skills of students using conventional learning models in class VII in the middle school Muhammadiyah Pasir Penyu.Keywords: Mathematical Communication, Think Talk Write

scholarly journals Studi Perbandingan Model Pembelajaran Kooperatif Tipe Jigsaw dan NHT (Numbered Head Together)Terhadap Hasil Belajar Stoikiometri Siswa Kelas X SMAN 8 Palu

2017 ◽  
Vol 5 (3) ◽  
pp. 133
Author(s):  
Nizar Nizar ◽  
Irwan Said ◽  
Suherman Suherman
Keyword(s):  
Statistical Analysis ◽  
Learning Outcomes ◽  
Hypothesis Test ◽  
Average Score ◽  
Cooperative Model ◽  
A Value ◽  
Quasi Experimental ◽  
Two Sides ◽  
Academic Year ◽  
Better Than

The aim of this study is to compare the learning outcomes of student in SMA Negeri 8 Palu using the cooperative learning model between jigsaw and NHT (numbered head together) on the stoichiometry. This research using a quasi-experimental design with factorial 2 x 2. The population of this study is all student of class X SMA 8 Palu with academic year 2015/2016 which consists of four classes. The sample of this study consists of two classes, namely class XB with amount of 16 students (experimental class) and class XC with amount of 17 students (control class) which was determined by purposive sampling. Data was collected by using test instruments, namely an achievement test that contains the stoichiometry material. The examination of data was conducted by using statistical analysis t-test two sides and one side (right side) non-parametric or Mann-Whitney U test. The average score of the learning outcomes of student by using the jigsaw type was (78.00; SD = 13.63), and by using NHT type was (70.47; SD = 16.51). Based on statistical analysis of the hypothesis test for two sides, it was obtained a value of 0.195 Asymp sig (2-tailed) and was obtained a value 0.204 Exact Sig (1-tailed) of 0.204, both of datas were at the rejection area of H0 which was a significance value greater than 0.05 (P> 0.05). Therefore, it can be concluded that there was a difference in learning outcomes using the cooperative model jigsaw type with NHT type, furthermore the type of jigsaw better than the NHT on the learning outcomes of students of stoichiometry in class X SMA Negeri 8 Palu.

scholarly journals COMPARATIVE STUDY OF USING DRAMA AND SIMULATION TECHNIQUES TOWARD STUDENTS’ SPEAKING ABILITY

2017 ◽  
Vol 1 ◽  
pp. 208
Author(s):  
Eva Faliyanti ◽  
Nanda Habib Firdaus
Keyword(s):  
Hypothesis Test ◽  
Analysis Data ◽  
Significant Degree ◽  
Simulation Technique ◽  
Control Group ◽  
Control Group Design ◽  
Systematic Random Sampling ◽  
Simulation Techniques ◽  
Post Test ◽  
Better Than

Speaking is one of the productive skills in English. It acts as an important skill which becomes a depiction of students' result in studying English. Oftentimes, English ability is measured by their speaking because it serves a tool of communication which represents the major interaction with other people. But in fact, the condition of a learning process in a sphere of speaking has not supported students to master speaking ability yet. The application of techniques and methods are actually not interesting enough to attract them. Students tend to be passive when they are in learning about material related to speaking.The objectives of this research are; to find out students' speaking score by applying drama technique; to find out students' score by using simulation technique; to find out whether the drama is better than simulation technique in increasing students' speaking ability. The population of this research is 37 students in the fourth semester of English Department at the Muhammadiyah University of Metro. The researcher conducts systematic random sampling design and pre-test and post-test control group design as a research instrument. The result of hypothesis test on test phases both provides the different result which uses 5% significant degree, where a count is higher than t -table on the analysis data of post-test with t-count =2,36  and t-table =2,12. It shows that the students who are taught by drama technique having a higher score. In conclusion that drama technique is more effective than simulation technique in term of students' speaking ability.

scholarly journals PENERAPAN MODEL PEMBELAJARAN SITUATION-BASED LEARNING TERHADAP PEMAHAMAN MATEMATIS SISWA KELAS X SMA

2020 ◽  
Vol 1 (1) ◽  
pp. 47-52
Author(s):  
Beni Junedi ◽  
Ade Susanti
Keyword(s):  
Experimental Design ◽  
Random Sampling ◽  
Design Research ◽  
Hypothesis Test ◽  
Learning Model ◽  
Mathematical Understanding ◽  
Test Results ◽  
Quasi Experimental ◽  
Cluster Random Sampling ◽  
Better Than

The research aims to find out the students' mathematical understanding using situation-based learning model students of class X IPA, the type of research used is quasi-experimental design research, taking class X IPA 3 as an experimental class and class X IPA 2 as a control class. The technique used in this sampling is cluster random sampling. Research instruments in the form of tests to determine the level of mathematical understanding of students. The data obtained will be analyzed with the hypothesis test t-test. Hypothesis test results obtained a significant value <0.05 which is 0.049 <0.05. Based on these results it was concluded to reject H0 and accept Ha. This means the average student's mathematical understanding ability using the Situation-Based Learning model is better than the average student's mathematical understanding ability using conventional learning.

Sign in / Sign up

Export Citation Format

Share Document