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CAUCHY: Jurnal Matematika Murni dan Aplikasi
Published by Universitas Islam Negeri Maulana Malik Ibrahim Malang
ISSN : 20860382     EISSN : 24773344     DOI : 10.18860
Core Subject : Education,
Mathematics
Jurnal CAUCHY secara berkala terbit dua (2) kali dalam setahun. Redaksi menerima tulisan ilmiah hasil penelitian, kajian kepustakaan, analisis dan pemecahan permasalahan di bidang Matematika (Aljabar, Analisis, Statistika, Komputasi, dan Terapan). Naskah yang diterima akan dikilas (review) oleh Mitra Bestari (reviewer) untuk dinilai substansi kelayakan naskah. Redaksi berhak mengedit naskah sejauh tidak mengubah substansi inti, hal ini dimaksudkan untuk keseragaman format dan gaya penulisan.
Arjuna Subject : -
Articles 438 Documents
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Power Of Test Path Analysis and Partial Least Square Analysis Kurniawan, Arif; Loekito, Loekito; Solimun, Solimun
CAUCHY Vol 4, No 3 (2016): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (527.118 KB) | DOI: 10.18860/ca.v4i3.3593

Abstract

Path analysis Analysis and Partial Least Square (PLS) was used to analyze many variables. Both methods use the least squares method (OLS) that can be compared between the two to determine the best method in a study to get an assessment of the behavior of civil servants in the Government of Kediri. The purpose of this study is: comparing path analysis Analysis with Partial Least Square (PLS) on the power of the test and the valueR2.Path method is able to provide the value of R2 higher than Analysis of Partial Least Square (PLS) but the value of the test power analysisi path is smaller than using Analysis of Partial Least Square (PLS). Usage analysis methods Path Analysis and Partial Least Square (PLS) produces behavioral assessment of civil servants in the government of Kediri is nearly equal results and discussion. Based on the analysis to prove that the behavior of civil servants in the Government of Kediri not meet eligibility based on the grade levels and echelons of the civil service
On the Spectra of Commuting and Non Commuting Graph on Dihedral Group Abdussakir, Abdussakir; Elvierayani, Rivatul Ridho; Nafisah, Muflihatun
CAUCHY Vol 4, No 4 (2017): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (816.995 KB) | DOI: 10.18860/ca.v4i4.4211

Abstract

Study about spectra of graph has became interesting work as well as study about commuting and non commuting graph of a group or a ring. But the study about spectra of commuting and non commuting graph of dihedral group has not been done yet. In this paper, we investigate adjacency spectrum, Laplacian spectrum, signless Laplacian spectrum, and detour spectrum of commuting and non commuting graph of dihedral group D2n
Comparison of Inverse Distance Weighted and Natural Neighbor Interpolation Method at Air Temperature Data in Malang Region Musashi, Jaka Pratama; Pramoedyo, Henny; Fitriani, Rahma
CAUCHY Vol 5, No 2 (2018): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1040.43 KB) | DOI: 10.18860/ca.v5i2.4722

Abstract

The purpose of this study was to compare the results of Inverse Distance Weighted (IDW) and Natural Neighbor interpolation methods for spatial data of air temperature in the Malang Region.  Interpolation is one way to determine a point of events from several points around the known value.  Spatial interpolation can be used to estimate an area that does not have a data record using the value of its known surroundings.  38 points observation air temperature of Malang Region in 2016 is used as a sample point to interpolate the surrounding air temperature.  Obtained optimum parameter power value is 2 for IDW interpolation method.  The RMSE comparison results show that IDW method is better to be used than the Natural Neighbor Interpolation method with the RMSE values of 1,2292 for the IDW method and 1,6173 for the NN method.
Preface, CAUCHY Vol.4 No.3 2016 M.Si, Juhari,
CAUCHY Vol 4, No 3 (2016): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (617.138 KB) | DOI: 10.18860/ca.v4i3.3824

Abstract

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The Simulation Study to Test the Performance of Quantile Regression Method With Heteroscedastic Error Variance Yanuar, Ferra
CAUCHY Vol 5, No 1 (2017): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (691.208 KB) | DOI: 10.18860/ca.v5i1.4209

Abstract

The purpose of this article was to describe the ability of the quantile regression method in overcoming the violation of classical assumptions. The classical assumptions that are violated in this study are variations of non-homogeneous error or heteroscedasticity. To achieve this goal, the simulated data generated with the design of certain data distribution. This study did a comparison between the models resulting from the use of the ordinary least squares and the quantile regression method to the same simulated data. Consistency of both methods was compared with conducting simulation studies as well. This study proved that the quantile regression method had standard error, confidence interval width and mean square error (MSE) value smaller than the ordinary least squares method. Thus it can be concluded that the quantile regression method is able to solve the problem of heteroscedasticity and produce better model than the ordinary least squares. In addition the ordinary least squares is not able to solve the problem of heteroscedasticity.
Applied Hierarchical Cluster Analysis with Average Linkage Algoritm Astuti, Cindy Cahyaning; Untari, Rahmania Sri
CAUCHY Vol 5, No 1 (2017): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (584.565 KB) | DOI: 10.18860/ca.v5i1.3862

Abstract

This research was conducted in Sidoarjo District where source of data used from secondary data contained in the book "Kabupaten Sidoarjo Dalam Angka 2016" .In this research the authors chose 12 variables that can represent sub-district characteristics in Sidoarjo. The variable that represents the characteristics of the sub-district consists of four sectors namely geography, education, agriculture and industry. To determine the equitable geographical conditions, education, agriculture and industry each district, it would require an analysis to classify sub-districts based on the sub-district characteristics. Hierarchical cluster analysis is the analytical techniques used to classify or categorize the object of each case into a relatively homogeneous group expressed as a cluster. The results are expected to provide information about dominant sub-district characteristics and non-dominant sub-district characteristics in four sectors based on the results of the cluster is formed.
Estimation Parameters And Modelling Zero Inflated Negative Binomial Astuti, Cindy Cahyaning; Mulyanto, Angga Dwi
CAUCHY Vol 4, No 3 (2016): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (753.259 KB) | DOI: 10.18860/ca.v4i3.3656

Abstract

Regression analysis is used to determine relationship between one or several response variable (Y) with one or several predictor variables (X). Regression model between predictor variables and the Poisson distributed response variable is called Poisson Regression Model. Since, Poisson Regression requires an equality between mean and variance, it is not appropriate to apply this model on overdispersion (variance is higher than mean). Poisson regression model is commonly used to analyze the count data. On the count data type, it is often to encounteredd some observations that have zero value with large proportion of zero value on the response variable (zero Inflation). Poisson regression can be used to analyze count data but it has not been able to solve problem of excess zero value on the response variable. An alternative model which is more suitable for overdispersion data and can solve the problem of excess zero value on the response variable is Zero Inflated Negative Binomial (ZINB). In this research, ZINB is applied on the case of Tetanus Neonatorum in East Java. The aim of this research is to examine the likelihood function and to form an algorithm to estimate the parameter of ZINB and also applying ZINB model in the case of Tetanus Neonatorum in East Java. Maximum Likelihood Estimation (MLE) method is used to estimate the parameter on ZINB and the likelihood function is maximized using Expectation Maximization (EM) algorithm. Test results of ZINB regression model showed that the predictor variable have a partial significant effect at negative binomial model is the percentage of pregnant women visits and the percentage of maternal health personnel assisted, while the predictor variables that have a partial significant effect at zero inflation model is the percentage of neonatus visits.
A Super (A,D)-Bm-Antimagic Total Covering of Ageneralized Amalgamation of Fan Graphs Agustin, Ika Hesti; Dafik, Dafik; Latifah, Siti; Prihandini, Rafiantika Megahnia
CAUCHY Vol 4, No 4 (2017): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (630.746 KB) | DOI: 10.18860/ca.v4i4.3758

Abstract

All graph in this paper are finite, simple and undirected. Let G, H be two graphs. A graph G is said to be an (a,d)-H-antimagic total graph if there exist a bijective function  such that for all subgraphs H’ isomorphic to H, the total H-weights form an arithmetic progression  where a, d 0 are integers and m is the number of all subgraphs H’ isomorphic to H. An (a, d)-H-antimagic total labeling f is called super if the smallest labels appear in the vertices. In this paper, we will study a super (a, d)-Bm-antimagicness of a connected and disconnected generalized amalgamation of fan graphs on which a path is a terminal.
Back - Matter Matter, Back
CAUCHY Vol 5, No 2 (2018): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (210.314 KB) | DOI: 10.18860/ca.v5i2.5066

Abstract

Selection of Ideal Contraceptive Tool Using Hybrid Entropy-Topsis Method Wahyu Handamari, Endang; Andawaningtyas, Kwardiniya; Karim, Corina
CAUCHY Vol 5, No 2 (2018): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (631.088 KB) | DOI: 10.18860/ca.v5i2.4510

Abstract

The Hybrid Entropy-TOPSIS method is a combination of two methods, Entropy and TOPSIS. The combination of the two methods is used in the decision-making model to improve the quality of a decision. In this research, the Hybrid Entropy-TOPSIS method was applied to determine the ideal contraceptive tool based on the acceptor criteria. Entropy is a method of weighted criteria, while TOPSIS is a method of decision making through the alternative ranking process based on weighted criteria. The criteria are factors which influence to Keluarga Berencana acceptors for selecting contraceptives. The used criteria in this research were the age, blood pressure, menstrual cycle, the use of contraceptives, and the cost. While the Alternative is contraceptive tool itself. The selected alternatives here were Pill, Injection, Condoms, Implant, IUD and MOP / MOW. Based on the results of the questionnaire data and the simulation, it was obtained that pill and implants has the highest ranking and they indicated that pill and implants as an alternative selection of the ideal contraceptives.

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