Testing equality of two intercepts for the parallel regression model with non-sample prior information

This paper proposes tests for equality of intercepts of two simple regression models when non-sample prior information (NSPI) is available on the equality of two slopes. For three different scenarios on the values of the slope, namely (i) unknown (unspecified), (ii) known (specified), and (iii) suspected, we derive the unrestricted test (UT), restricted test (RT) and pre-test test (PTT) for testing equality of intercepts. The test statistics, their sampling distributions, and power functions of the tests are obtained. Comparison of power function and size of the tests reveal that the PTT has a reasonable dominance over the UT and RT

PENGUJIAN INTERCEP UNTUK TESTS TERKAIT NON-SAMPLE PRIOR INFORMATION PADA HIPOTESIS SATU ARAH PADA REGRESI LINIER SEDERHANA KETIKA VARIANSI DIKETAHUI

This research discussed testing the intercept with non-sample prior information (NSPI) on the slope on a simple linear regression for known variance. The hypothesis used is one-side hypothesis (maximum), and the tests are unrestricted test (UT), restricted test (RT), and preliminary-test test (PTT). The method for chosing the best choice of the tests is a maximum power and minimum size. A simulation study and graphical analysis are given to make comparison of the tests. The result shown that the NSPI reduce the value of power, it means that the NSPI is not significant influence. However, PTT still lies between UT and RT for several intervals of 1, so it will be a better choice than UT and RT. Keywords: Linear model, power, and size

PENDEKATAN REGRESI ROBUST DENGAN FUNGSI PEMBOBOT BISQUARE TUKEY PADA ESTIMASI-M DAN ESTIMASI-S

Least Square Method is one of methods for estimating of parameters of regression model. Model of least square methods is not valid if there are some disobeydiance in classical assumptions, for example, there are outliers. To resolve the problem, robust regression method is usually used. The method is used because it can detect the outliers and give stable results. In this research, data used is data for human development index of districts in Central Java from 2019 to 2020. Estimation for robust regression method chosen is estimation-M and estimation-s with Tukey Bisquare as a weight function. Criterions for choosing the best model are based on adjusted R-Squared value and mean square error (MSE). The result shows that robust regression model with estimation-M is a better model since it has adjusted R-Squared value tending to one and the least MSE

STUDI KEMAMPUAN LITERASI NUMERASI PADA MOTIVASI BELAJAR SISWA DENGAN MODEL REALISTIC MATHEMATICS EDUCATION BERBANTUAN E-MODUL

The research discussed the numeracy literacy skills in terms of student learning motivation in realistic mathematics education (RME) based on e-modules. The methodology is a qualitative and quantitative research. The sample is drawn in simple random sampling, four randomly selected classes from the six existing classes. The questionnaires are focused on question of the numeracy literacy ability tests and student learning motivation. To test the effectiveness of RME learning, we  approaches using regression analysis, t tests of the independent mean on pair and one sample data. The results showed that student learning motivation has an influence on numeracy literacy ability, there is a significant difference between the numeracy literacy ability of students who are taught using RME learning methods and classical lecture learning methods, where students who are taught with RME have better numeracy literacy skills, namely completing the minimum completion criteria (KKM) compared to students who are taught using the classical lecture learning method. Student learning motivation in the realistic mathematics education learning approach has a more effective influence than student learning motivation in classical lecture learnin

Testing the equality of two intercept for the parallel regression model

Testing the equality of the two intercepts of two parallel regression models is considered when the slopes are suspected to be equal. For three different scenarios on the values of the slope parameters, namely (i) unknown (unspecified), (ii) known (specified), and (iii) suspected, we derive the unrestricted (UT), restricted (RT) and pretest (PTT) tests for testing the intercept parameters. The test statistics, their sampling distributions, and power functions of the tests are obtained. Comparison of power functions and sizes of the tests are provided

Determining Sustainable Rice Farming through Supply Chain Risk Management: A Case Study in Central Java, Indonesia

The government through the Department of Agriculture has been cooperating with Indonesian Insurance Services or PT. A suransiJasa Indonesia (PT. Jasindo), to implement an insurance program for farmers throughout the country known as rice farming insurance (RFI).The supply chain efficiency and risk management may be two causal factors to uplift the economic conditions of the agricultural communities. The premium rate for 1 hectare of land designated at 3% of the maximum benefit value of IDR 6,000,000. Consequently, the premium received by PT. Jasindo for each hectare is IDR 180,000 of which the Government subsidy pays IDR 144,000,andfarmers will pay the remaining IDR 36,000 of the premium. This research will determine the actuarially fair premium rate, both theoretically and using the data of rice harvest yield in Central Java Province from 1990-2017. The calculation, employing the rice harvest yield data, results in the premium rate. The farmers must pay for each hectare from IDR 56,000 (minimum) to IDR 161,600 (maximum) with an average value of IDR 110,750.Meanwhile,the standard deviation principle used, the premium results between IDR 78,151 and IDR 143,349. The rate of IDR 208,458 per hectare has theoretically generated if there are 100 participants per regency (city) or in size of 3,500 hectares throughout Central Java Province and IDR 182,846 per hectare if there are 10,000 participants or about 350,000 hectares. These values are not much different from RFI premium currently applied to farmers throughout Indonesia

Tests on a subset of regression parameters for factorial experimental data with uncertain higher order interactions

The data generated by many factorial experiments are analyzed by linear regression models. Often the higher order interaction terms of such models are negligible (e.g., R. Mead, The Design of Experiments, Cambridge University Press, Cambridge, 1988, p. 368) although there is uncertainty around it. This kind of nonsample prior information (NSPI) can be presented by null hypotheses (cf. T.A. Bancroft, Ann. Math. Stat. 15 (1944), 190–204), and its uncertainty removed through appropriate statistical test. Depending on the level of the NSPI the unrestricted, restricted, and pretest (PTT) tests are defined. The sampling distributions of test statistics and power functions of the three tests are derived. The graphical and analytical comparisons of powers reveal that the PTT dominates over the other tests

The correlated bivariate noncentral F distribution and its application

This paper proposes the singly and doubly correlated bivariate noncentral F (BNCF) distributions. The probability density function (pdf) and the cumulative distribution function (cdf) of the distributions are derived for arbitrary values of the parameters. The pdf and cdf of the distributions for different arbitrary values of the parameters are computed, and their graphs are plotted by writing and implementing new R codes. An application of the correlated BNCF distribution is illustrated in the computations of the power function of the pretest test for the multivariate simple regression model (MSRM)

KAPASITAS PEMERINTAH DESA DERMAJI KABUPATEN BANYUMAS DALAM PENGURANGAN RISIKO BENCANA

The capacity of the village government is demanded to be able to respond to public needs in one sector, namely disaster. Where a disaster is a condition of events that are beyond human ability that causes loss of life and property. So this requires a quick response attitude from stakeholders as an effort to joint obligations, one of which is the important role of the village government. The number of landslide disasters in each sub-district in Banyumas Regency in 2014-2016, Lumbir District, was the most frequent occurrence of 20 times. Dermaji Village is the village most frequently hit by landslides in Lumbir District, recorded 8 times from 2014-2016. The importance of research on the capacity of the Village Government in efforts to reduce disaster risk, the purpose of this study is to analyze the capacity of the Village Government of Dermaji, Banyumas Regency in disaster risk reduction. The research method used is a qualitative method to obtain accurate information from competent informants. The results of the study show that the Dermaji Village Government has not yet established a disaster management regulation as a mitigation effort, so it is necessary to formulate a disaster risk reduction policy formulation at the village level with the support and awareness of the community as an effort of legitimacy and legality

Improving statistical inference with uncertain non-sample prior information

In the classical inference, the observed sample data is the only source of information. The Bayesian inferential methods assume prior distribution of the underlying model parameters to combine with sample data. Often non-sample prior information (NSPI) on the value of the model parameters is available from previous studies or expert knowledge which could be used along with the sample data to improve the quality of statistical inference. Obviously the NSPI is not always correct and hence there is uncertainty in the suspected value of the parameter. Any such uncertainty can be removed by conducting an appropriate statistical test, and the quality of statistical inference can be improved by including the outcome of the test in the inferential procedure. This paper provides the underlying methodology to illustrate the process and include an example to demonstrate its application