Melissa Aeudia Daullu
Universitas Internasional Papua

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Bayesian Method for Quality Control with Weibull Distribution Cecilia Novianti Salsinha; Yeni Rafita Sihombing; Melissa Aeudia Daullu
RANGE: Jurnal Pendidikan Matematika Vol. 6 No. 1 (2024): Range Juli 2024
Publisher : Pendidikan Matematika UNIMOR

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32938/jpm.v6i1.7178

Abstract

Weibull distribution is one of the continous probability density function. This distribution is known as a flexible distribution. One of it’s flexibility is can be transformed into other distributions such as exponential distribution depends on parameter selected. Similar to other distribution, Weibull distribution also characterized by cumulative distribution function, mean, variance and moment generating function. One of the well-known application of this distribution is in the field of quality control utilizing reliability data and the well-known tool in quality control is control chart. Therefore, reliability data is not follow normal distribution then Shewhart control chart cannot be applied. To solve this problem, control chart can be formed with the control limit is obtained by Bayesian method. In applying Bayesian method, prior distribution of shape parameter is assumed to be uniform distribution and variables for reliability is assumed to be invers of Weibull distribution. The prior distribution is combine with likelihood function then posterior distribution is obtained which in then used as the control limits by find it’s mean.
EFEKTIVITAS METODE MATEMATIKA GASING DALAM MENINGKATKAN KEMAMPUAN PERHITUNGAN DASAR MAHASISWA BARU : STUDI PRA-EKSPERIMENTAL PADA PROGRAM MATRIKULASI UNIVERSITAS INTERNASIONAL PAPUA Melissa Aeudia Daullu; Ardian Hangga Kelana; Velka Taboka; George Numberi
Pendas : Jurnal Ilmiah Pendidikan Dasar Vol. 10 No. 4 (2025): Volume 10. No4, Desember 2025.
Publisher : Program Studi Pendidikan Guru Sekolah Dasar FKIP Universitas Pasundan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23969/jp.v10i4.36665

Abstract

Basic arithmetic ability is a fundamental competence required for new students, particularly in science and education study programs. However, disparities in secondary education quality in frontier, outermost, and underdeveloped regions (3T) often lead to gaps in mathematical proficiency among new students. This study aims to evaluate the effectiveness of the Matematika Gasing (Easy, Fun, and Enjoyable) method within a bridging program to enhance basic arithmetic learning outcomes for students from Puncak Regency and its surroundings. This research employed a quantitative method with a One-Group Pretest-Posttest design. The sample consisted of 27 new students from various study programs selected using the saturation sampling technique. The instrument used was an integer operation test with a maximum score of 20. Data analysis utilized the Wilcoxon Signed-Rank test and Normalized Gain (N-Gain). The results showed a significant increase in the average score from 6.48 (pre-test) to 12.11 (post-test) with a -value < 0,05. The effectiveness test revealed an N-Gain value of 0.45 (Medium category). These findings indicate that the Gasing method is effective as a pedagogical intervention to restore basic mathematical skills and reduce academic gaps among new students.