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Journal : Range : Jurnal Pendidikan Matematika

ANALISIS KEMAMPUAN BERHITUNG DENGAN TEORI VAN DEN HEUVEL-PANHUIZEN Nahak, Selestina; Salsinha, Cecilia Novianti
RANGE: Jurnal Pendidikan Matematika Vol. 1 No. 1 (2019): RANGE Juli 2019
Publisher : Pendidikan Matematika UNIMOR

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (206.834 KB) | DOI: 10.32938/jpm.v1i1.244

Abstract

Cabang Matematika yang tidak akan pernah lepas dari kehidupan manusia adalah aritmatika. Aritmatika memuat kemampuan dasar yang mana dengan kemampuan itu siapapun akan dimudahkan ketika melakukan aktivitas apapun yang membutuhkan perhitungan. Namun ada saat dimana perhitungan pasti tidak diperlukan. Hal ini dapat diselesaikandengan melakukan estimasi berhitung sehingga kemampuan ini harus dimilikidimulai dari usia sekolah. Namun, kenyataannya beberapa penelitian menunjukkan bahwa siswa lebih baik dalam berhitung untuk mendapatkan nilai pasti daripada melakukan estimasi. Berdasarkan penelitian mengenai kemampuan estimasi berhitung yang dilakukan pada siswa SMP, SMA dan Mahasiswa di Kefamenanu dengan memanfaatkan Teori Van den Heuvel-Panhuizen diperoleh hasil bahwa pada tingkat mahasiswa strategi estimasi yang muncul adalah strategi Front-end dan strategi berhitung mental yang biasanya dimiliki oleh orang-orang yang pandai berhitung. Sedangkan siswa SMA dan SMP cenderung melakukan strategi pembulatan ke ribuan terdekat. Adapun kesalahan yang muncul yaitu siswa masih menggunakan cara berhitung pasti ketika berhadapan dengan masalah estimasi berhitung.
Survival Model Estimator for Type II Censored Data Based on Lognormal Distribution Eduardus Beo Seso Delvion; Cecilia Novianti Salsinha; Minanur Rohman
RANGE: Jurnal Pendidikan Matematika Vol. 5 No. 2 (2024): Range Januari 2024
Publisher : Pendidikan Matematika UNIMOR

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32938/jpm.Vol5.Iss2.5573

Abstract

The problems that occur in analyzing survival models based on parametric distributions require parameter values ​​obtained from estimators. This study aims to obtain an estimator model of the lognormal distribution which has parameters and . Therefore, the maximum likelihood method approach is used to obtain the estimators and . However, the problem encountered is that the maximum likelihood model of the lognormal distribution for Type II cencoring data produces quite complex equations, so an approach with a Taylor series is needed only for the first order. The results obtained are estimators and which can be applied to Type II cencoring data based on a lognormal distribution.
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.