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Mapping of Difficult Mathematics Topics in Vocational High Schools Based on National Examination Data Retnawati, Heri; Arliani, Elly; Apino, Ezi; Djidu, Hasan; Kartianom, NFN; Santoso, Agus; Rasmuin, NFN
Indonesian Journal of Educational Assessment Vol 3, No 2 (2020): IJEA
Publisher : Pusat Asesmen dan Pembelajaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26499/ijea.v3i2.83

Abstract

The educational achievement in Indonesia is measured by implementing the National Examination or Ujian Nasional (UN). Throughout its implementation, the UN results shown unsatisfying results, including in mathematics subjects. This fact indicated that there are mathematics topics that are considered to be difficult for students. This study aimed to investigate the difficult topics of mathematics in Vocational High School (VHS) based on UN data. This study was a descriptive research with the quantitative approach by using the UN report results in the level of VHS from Center for Educational Assessment of the Ministry of Education and Culture in the period of 2008 to 2017 (ten years) as a research data source. Data analysis was carried out in a quantitative descriptive by mapping the mathematics topics based on proportion correct answers or “daya serap”. A topic was considered difficult if the proportion correct answer was less than 50%. The results showed that there were 14 difficult mathematics topics in the UN implementation at the VHS level from 2008 to 2017. These topics include the comparison of trigonometric functions, solid figure, limit, measure of data dispersion, permutation and combination, differential, area between two curves, a measure of central data tendentious, probability, logarithm, integral, sequence and series, linear program, and polar coordinates system. The implications of the research findings for learning practice and future research opportunities are discussed.
PEMILIHAN BUTIR SOAL PADA RANCANGAN TES ADAPTIF BERDASARKAN EFFICIENCY BALANCED INFORMATION Agus Santoso
Jurnal Pendidikan Vol. 15 No. 1 (2014)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (216.567 KB) | DOI: 10.33830/jp.v15i1.376.2014

Abstract

One of the most popular item selection methods in the design of adaptive testing is Maximum Information Method. This method provides the items with the maximum information at a certain level of selecting ability. The lack of this method is rarely accurate in estimating the level of ability of the examinees at the beginning of the test and tends to select items with higher discrimination-parameter value than items with lower discrimination-parameter. It creates problem in maintaining item bank. Therefore, another method should be found. The objective of the study is to determine the performance of the application of the estimation method Balanced Efficiency Information (EBI) on the design of an adaptive test. This research was carried out through a simulation study in the setting of organizing the Open University final exams. Item bank for the purposes of simulation models based on 3 parameters Item Response Theory was contructed a total of 900 items were generated base on the ideal parameter of the item specifications. Two selection criteria items were simulated, namely Information Maximum and EBI Maximum. Those two criteria were also designed to meet the content balancing. This is to ensure that the algorithm is appropriate with the applicable UT modular learning, meaning items of each module were proportionally represented and suited the blueprint. The tests will be stopped at when the standard error of estimate ( standard error of estimation = SEE ) is 0.3.The study summarized that the algorithm of EBI was more accurate than the Maximum Information criteria in estimating performance capabilities of participants. This is indicated by the value of the bias and the standard deviation of EBI is smaller than Maximum Information criterias. Another advantage of the application of the EBI Maximum is optimally utilizing of the item bank. The items with low level of the discrimination-parameter will also be chosen at the begining of the test. The maximum information criterion is more efficient in terms of test length but less optimally of the item bank utilization. Salah satu metode pemilihan butir soal yang popular digunakan dalam rancangan tes adaptif adalah metode Informasi Maksimum. Melalui metode ini, butir soal yang memiliki informasi maksimum pada tingkat kemampuan tertentu akan dipilih dan diberikan kepada peserta tes. Namun kelemahan dari metode ini adalah kurang akurat dalam mengestimasi tingkat kemampuan peserta pada awal tes dan memiliki kecenderungan untuk memilih butir dengan nilai daya pembeda parameter butir yang tinggi dibandingkan butir dengan nilai parameter daya pembeda yang rendah, sehingga menimbulkan masalah pemeliharaan butir soal dalam bank soal. Karena itu dicari cara lain untuk mengatasi masalah tersebut. Penelitian ini bertujuan untuk mengetahui performa hasil estimasi dari penerapan metode Efficiency Balanced Information (EBI) pada rancangan tes adaptif. Penelitian ini dilakukan melalui studi simulasi dalam setting penyelenggaraan ujian akhir semester Universitas Terbuka. Bank soal untuk keperluan simulasi dibangkitkan berdasarkan model Item Response Theory 3 parameter. Sebanyak 900 butir soal dalam bank soal bangkitan dengan spesifikasi parameter butir yang ideal. Dua kriteria pemilihan butir soal yang disimulasikan yaitu Informasi Maksimum dan EBI Maksimum yang juga dirancang agar memenuhi keseimbangan isi. Hal ini agar menjamin bahwa algoritma yang dihasilkan sesuai dengan pembelajaran moduler yang diterapkan UT, artinya butir soal setiap modul secara proporsional terwakili dan sesuai kisi-kisi. Aturan pemberhentian tes menggunakan kesalahan baku estimasi (standard error of estimation=SEE) sebesar 0,3. Hasil penelitian menyimpulkan bahwa algoritma rancangan tes adaptif dengan kriteria EBI menghasilkan performa hasil estimasi kemampuan peserta yang lebih akurat dibandingkan kriteria Informasi Maksimum. Hal ini ditunjukkan oleh nilai bias dan simpangan baku pengukuran yang lebih kecil dibandingkan kriteria Informasi Maksimum. Kelebihan lain dari penerapan kriteria EBI Maksimum adalah kebermanfaatan bank soal lebih optimal karena butir-butir soal dengan tingkat daya beda rendah juga dimunculkan khususnya pada awal tes. Sedangkan kriteria Informasi Maksimum walaupun lebih efisien dari sisi panjang tes tetapi kurang optimal dalam memanfaatkan bank soal.
EFISIENSI DAN AKURASI COMPUTERIZED ADAPTIVE TESTING PADA SISTEM UJIAN AKHIR SEMESTER UNIVERSITAS TERBUKA Agus Santoso
Jurnal Pendidikan Vol. 11 No. 1 (2010)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (125.862 KB) | DOI: 10.33830/jp.v11i1.527.2010

Abstract

Universitas Terbuka (UT) applied online examination system (sistem ujian online SUO) for end of semester examination (ujian akhir semester-UAS), beside the paper and pencil test (P & P test). In order to improve efficiency, adaptive test application should be analyzed, as an alternative to present UAS system. The aim of the research was to compare the efficiency and accuracy level of the computerized adaptive testing (CAT) design and conventional test using both P & P test and SUO. The research was conducted by simulation procedure. The item bank for the simulation used calibrated 404 test items using item response theory model. In the research, CAT and P & P test algorithm was developed. To measure efficiency, the required number of the CAT design was analyzed, while to measure accuracy of the estimation, the bias and standard error of measurement of both design were compared. The simulation result showed that (1) CAT design was more efficient, since it required only half of the number of item which was used in P & P test, to estimate the ability of examinee, (2) CAT design was more accurate in estimating ability of examinee, compared to P & P test design, since it resulted lower bias and standard error of measurement compared to conventional test design. Therefore, CAT design could be applied in UTs UAS system, while considering the balance of content for each modules.
KETEGARAN UJI-t TERHADAP KETIDAKNORMALAN DATA Agus Santoso
Jurnal Matematika Sains dan Teknologi Vol. 7 No. 1 (2006)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (334.682 KB) | DOI: 10.33830/jmst.v7i1.620.2006

Abstract

t-test used to test means of two populations assumes that each population is normally distributed. Theoretically, violation of the assumption makes the result of the test invalid. This research evaluates the robustness of the t-test on various value of sample size using three types of distribution: normal, symmetric non-normal, and not symmetric non-normal. Different computation techniques of t-value which depend on the variance of the two populations were also employed. The simulation showed that t-test used to test mean of two populations is not influenced by non-normality of the population distribution. The exploration of distribution of the difference between two samples means showed that its distribution was normal. Therefore, the robustness against non-normality of the t-test was the consequences of the difference between two sample means that normally is distributed.
Kajian Beberapa Uji Kenormalan Dan Kaitannya Dengan Asumsi Kenormalan Pada Beberapa Uji Statistika Agus Santoso
Jurnal Matematika Sains dan Teknologi Vol. 6 No. 1 (2005)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (412.89 KB)

Abstract

T-test is proposed as a parametric test to evaluate mean of population(s). Therefore, it is assumed that the data are normally distributed. Recently simulation based research reveal that t-test are robust against non-normality assumption, as long as the distribution of the data are symmetric. For that reason, it is interesting to evaluate the normality test that commonly used before the t-test is applied, particularly on its power and its suitability on symmetrical assumption of t-test on distribution of the data. On this research, the evaluation on normality test was focused at several tests, which are Anderson Darling, Kolmogorov-Smirnov, Ryan-Joiner, and normality test based on skewness and kurtosis, wether the t-test was restricted in evaluation of mean of one population. The simulation reveals that, in general, Anderson-Darling has greater power than the other test in evaluating the normality of the distribution of the data, wether the normality test based on skewness and kurtosis have greater suitability on symmetrical assumption of t-test on distribution of the data. Hence, it is recommended that the normality test based on skewness and kurtosis are used to evaluate the symmetrical assumption of t-test on distribution of the data.
PEMILIHAN BUTIR ALTERNATIF PADA TES ADAPTIF UNTUK PENINGKATAN KEAMANAN TES Agus Santoso
Jurnal Kependidikan Vol. 43, No.1 (2013)
Publisher : Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/jk.v43i1.1953

Abstract

Penelitian ini bertujuan mendesksripsikan pengaruh pemilihan butir dengan pengacakan pada algoritma tes adaptif terhadap panjang tes dan estimasi kemampuan peserta tes. Penelitian ini dilakukan dengan prosedur simulasi. Bank soal untuk keperluan simulasi menggunakan 250 butir soal terkalibrasi menggunakan model item response theory 3 parameter. Dua desain algoritma tes adaptif, desain algoritma dengan dan tanpa pengacakan dikembangkan. Pada algoritma tes adaptif dengan pengacakan, pengacakan butir dilakukan pada urutan butir kedua dan ketiga, sedangkan pada algoritma tes adaptif tanpa pengacakan, tidak dilakukan pengacakan pada pemilihan butir soal berikutnya yang akan diberikan kepada peserta tes. Hasil simulasi menunjukkan bahwa secara statistik pengacakan tidak berpengaruh terhadap estimasi kemampuan peserta tes (nilai-p=0,306), dan panjang tes (nilai-p=0,328). Berdasarkan hal tersebut desain algoritma dengan pengacakan lebih tepat diterapkan pada algoritma tes adaptif.Tanpa mengurangi tingkat efisiensi dan presisi pengukuran, butir soal pada urutan awal yang diberikan kepada peserta tes lebih bervariasi sehingga dapat meningkatkan keamanan tes.
Karakteristik Butir Tes Pengantar Statistika Sosial Berdasarkan Teori Respon Butir Agus Santoso
Jurnal Pendidikan Matematika dan Sains Vol 6, No 2 (2018): December 2018
Publisher : Faculty of Mathematics and Natural Sciences, Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (638.052 KB) | DOI: 10.21831/jpms.v6i2.23959

Abstract

Analisis karakteristik butir tes dilakukan untuk menghasilkan buti-butir tes yang berkualitas (terstandar). Analisis karakteristik butir tes dapat dilakukan menggunakan pendekatan klasik maupun pendekatan modern (Teori Respon Butir). Penelitian ini bertujuan untuk mendeskripsikan karakteristik butir tes pengantar statistika sosial yang dikembangkan oleh Universitas Terbuka menggunakan pendekatan teori respon butir. Penelitian ini merupakan penelitian deskriptif eksploratif menggunakan pendekatan kuantitatif. Pengumpulan data dilakukan melalui dokumentasi 269 butir tes Pengantar Statistik Sosial dan respon 82966 mahasiswa UT yang mengerjakan tes tersebut. Analisis karakteristik butir dilakukan melalui tahapan organisasi data, uji asumsi, uji kecocokan model, estimasi parameter butir. Estimasi parameter dilakukan menggunakan bantuan software Bilog MG. Hasil analisis kecocokan model menunjukkan bahwa tes cocok diestimasi menggunakan model 3 Parameter Logistik (3 PL). Hasil estimasi parameter butir menunjukkan bahwa dari 269 butir hanya terdapat 81 butir yang memiliki kualitas baik dengan rerata indeks kesukaran (b) yaitu 2,149 dengan standar deviasi 2,451; rerata daya pembeda (a) yaitu 0,852 dengan standar deviasi 0,491; dan rerata tebakan semu (c) yaitu 0,288 dengan standar deviasi 0,093.Kata kunci: Analisis karakteristik butir, teori respon butir, model 3 parameter logistik.
Kualitas butir bank soal statistika (Studi kasus: Instrumen ujian akhir mata kuliah statistika Universitas Terbuka) Agus Santoso; Kartianom Kartianom; Gulzhaina K. Kassymova
Jurnal Riset Pendidikan Matematika Vol 6, No 2: November 2019
Publisher : Program Studi Pendidikan Matematika Program Pascasarjan Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/jrpm.v6i2.28900

Abstract

Penelitian ini bertujuan untuk mendeksripsikan kualitas butir soal ujian akhir semester mata kuliah statistika ekonomi yang dikembangkan oleh Universitas Terbuka (UT) sebagai dasar dalam mengembangkan bank soal yang terkalibrasi menggunakan pendekatan Teori Respons Butir. Penelitian ini merupakan penelitian deskriptif kuantitatif. Sumber data penelitian ini adalah pola jawaban mahasiswa UT yang telah mengikuti ujian akhir semester (UAS) mata kuliah statistika ekonomi selama enam masa ujian, dengan ukuran sampel sebanyak 23334 mahasiswa. Hasil penelitian ini menunjukkan bahwa butir-butir soal ujian akhir semester mata kuliah statistika ekonomi yang dikembangkan UT: (1) terbukti valid secara konstruk, yakni hanya mengukur satu faktor dominan, yaitu kemampuan statistika ekonomi; (2) memiliki kehandalan yang baik dengan nilai koefisien reliabilitas empiris lebih dari 0,70 (koefisien reliabilitas empiris = 0,7335); (3) dari 140 butir soal yang dikalibrasi terdapat 108 butir soal (25 butir soal berkualitas baik atau tanpa revisi dan 83 butir soal berkualitas kurang baik atau perlu revisi) yang layak disimpan dalam bank soal, sedangkan 32 butir soal berkualitas tidak baik; dan (4) mampu memberikan informasi akurat terkait kemampuan statistika ekonomi mahasiswa pada level kemampuan yang tinggi (-1,3 sampai +4,0). Quality of statistical test bank items (Case study: Final exam instrument of statistics courses in Universitas Terbuka) AbstractThis study aims to determine the quality of final semester test items of economic statistics course that was developed by Universitas Terbuka (UT) as a basis for developing calibrated item banks using Item Response Theory. This research uses a quantitative descriptive approach. The researcher investigates the answer pattern of the final semester exam (UAS) in the economic statistics course during six periods of the final exams. The sample size in this study was 23334 students. The results of this study indicate that the final semester exam items of economic statistics courses developed by UT: (1) proved to construct valid, i.e. only measure one dominant factor, namely the ability of economic statistics; (2) has good reliability with empirical reliability coefficient values more than 0.70 (empirical reliability coefficient = 0.7335); (3) of the 140 items calibrated there are 108 items (25 items of good quality or without revision and 83 items of poor quality or need to be revised) that are worth keeping in the question bank, while 32 items of quality are not good; and (4) able to provide accurate information related to students' economic statistical abilities at a high level of ability (-1.3 to +4.0)
TINGKAT KEPENTINGAN FASILITAS PELABUHAN DAN PERSEPSI NELAYAN TERHADAP KEPUTUSAN UNTUK MENDARATKAN IKAN DI PELABUHAN PERIKANAN DAGHO KEPULAUAN SANGIHE Ari Prasetyo; Eko Sri Wiyono; Agus Santoso
ALBACORE Jurnal Penelitian Perikanan Laut Vol. 5 No. 2 (2021): Albacore
Publisher : Departemen PSP IPB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/core.5.2.161-172

Abstract

Pelabuhan perikanan Dagho adalah satu-satunya pelabuhan perikanan di wilayah pesisir Kepulauan Sangihe dan termasuk sebagai Outer Ring Fishing Port, keberhasilan operasional dalam menjalankan fungsi-fungsi pelabuhan perikanan tidak terlepas dari tersedianya fasilitas pelabuhan, yaitu fasilitas pokok, fasilitas fungsional dan fasilitas penunjang. Tujuan dari penelitian ini yaitu memetakan tingkat kepentingan fasilitas pelabuhan perikanan, memetakan persepsi nelayan terhadap faktor yang mempengaruhi untuk melakukan pendaratan ikan di pelabuhan perikanan, dan menyusun strategi pembangunan dan pengembangan pelabuhan perikanan. Instrumen penelitian menggunakan kuesioner dengan skala Likert, jumlah sampel sebanyak 80 (delapan puluh) nelayan, pengambilan sampel dengan cara purposive sampling. Metode analisis data, deskriptif komparatif dan analisis SWOT. Hasil penelitian diperoleh bahwa ada pengaruh antara tingkat kepentingan fasilitas pelabuhan perikanan terhadap nelayan untuk melakukan pendaratan ikan di pelabuhan perikanan, hasil pernyataan nelayan terhadap fasilitas pokok menunjukkan prosentase pada tingkat penting sebesar 93% nilai pengukuran skor (3,25), fasilitas fungsional menunjukkan prosentase pada tingkat penting sebesar 98% nilai pengukuran skor (3,41), dan fasilitas penunjang menunjukkan prosentase pada tingkat penting sebesar 94% nilai pengukuran skor (3,33). Uji beda rata-rata diperoleh hasil bahwa fasilitas fungsional adalah faktor yang paling mempengaruhi nelayan untuk mendaratkan ikan di pelabuhan perikanan dengan nilai rerata 44.413, kemudian fasilitas pokok nilai rerata 26.000, dan terakhir fasilitas penunjang nilai rerata 23.300. Hasil analisis SWOT dinyatakan dalam strategi pembangunan pelabuhan perikanan, faktor yang menjadi kekuatan sebanyak 3 (tiga) faktor, kelemahan sebanyak 5 (lima) faktor, peluang sebanyak 3 (tiga) faktor, dan ancaman sebanyak 2 (dua) faktor. Kata kunci: tingkat kepentingan, fasilitas pelabuhan, persepsi nelayan
Determining Premium for Disaster Reinsurance Program through Supply Chain Risk Management: An Application of Peak Over Threshold (POT) Approach Sukono Sukono; Betty Subartini; Herlina Napitupulu; Ela Novitasari; Agus Santoso; Puspa Liza Ghazali; Jumadil Saputra
International Journal of Supply Chain Management Vol 9, No 5 (2020): International Journal of Supply Chain Management (IJSCM)
Publisher : International Journal of Supply Chain Management

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

The purpose of this study is to determine the pricing (premium) for disaster reinsurance program. For those, this study uses the Peak Over Threshold (POT) approach, where the method pays attention to the pattern of heavy tail behaviour on the number of victims killed due to disaster events through extreme values with a reference value called the threshold u. The results of the analysis showed that the reinsurance premiums for flood disaster per year that must be paid by insurance company is IDR 712,008,900.50 with the maximum amount of reinsurance risk, L is IDR20,000,000,000.00, the insurance company retention, S is IDR200,000,000.00, the sensitivity minimum number of victims in one disaster event  with 5 people. In conclusion, the reinsurance premium per year that must be paid by insurance companies to reinsurance companies will be increasing when the insurance company retention S is smaller, the maximum amount of risk covered by reinsurance L is greater, and the number of victims died u decreases.