Nur Laili Arofah, Nur Laili
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Estimasi Nonlinear Least Trimmed Squares (NLTS) pada Model Regresi Nonlinier yang Dikenai Outlier Arofah, Nur Laili; Harini, Sri
CAUCHY Vol 4, No 1 (2015): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (713.597 KB) | DOI: 10.18860/ca.v4i1.3170

Abstract

Constant Elasticity of Substitution (CES) production function is the intrinsic nonlinear regression models that are often used to estimate the data in an industry. Intrinsic nonlinear regression model is a kindof nonlinear regression that can not be linearized, so as to estimate the beta parameters nonlinear statistical model used was Nonlinear Least Squares (NLS) using a first order taylor series approach used in the GaussNewton iteration. One of the problems often encountered in the analysis of data is an outlier, the presence of outliers in the data analysis greatly influence the results of the analysis so it becomes less valid and the estimationbecome biased. One method that is resistant to outliers regression is a method of Nonlinear Least Trimmed Squares. This research aims to determine the characteristics of parameter CES production function whichcontains outlier. The result shows that parameter of the production function CES which contains outliers are bias, inconsistent. So the CES production function which does not contain outliers better than the are containsoutliers.
Ethnomathematic Exploration At Agung Jami’ Malang Mosque In Improving Students' Mathematic Problem Solving Ability Asnawi, Muhammad Hasan; Annisa, Hurriyatul; Ulum, Moh. Miftakhul; Arofah, Nur laili; Hendrawati, Novita Erni
IndoMath: Indonesia Mathematics Education Vol 5, No 1 (2022)
Publisher : Universitas Sarjanawiyata Tamansiswa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30738/indomath.v5i1.13

Abstract

Ethnomathematics has developed and made a major contribution to learning mathematics. One of them is in improving students' mathematical problem solving abilities. The purpose of this study is to explore the ethnomathematics contained in the Agung Jami' Malang Mosque as a means of student learning in improving problem solving skills. The research methods used are ethnography and quantitative. The research instrument is the human instrument, the researcher is directly related to the research, as well as collecting research data through observation, literature, documentation, and tests. In addition, researchers analyzed quantitative data that had been obtained from the results of trials on elementary school students. From the research that has been done, it is found that the ethnomathematics contained in the Agung Jami' Malang Mosque is in the form of geometric shapes, including rectangles, tubes, semi-circles and other geometric shapes. From the results of the trials that have been carried out, it was found that the problem-solving ability of students increased when working on problem-solving problems with the help of ethnomathematics found at the Agung Jami' Malang Mosque.