Using the F-test for eigenvalue decomposition problems to find the statistically ‘optimal’ solution

1991 ◽  
Vol 18 (6) ◽  
pp. 1075-1078 ◽  
Author(s):  
R. S. Jacobson ◽  
P. R. Shaw
Keyword(s):  
Optimal Solution ◽  
Eigenvalue Decomposition ◽  
F Test

scholarly journals Information-Maximization Clustering Based on Squared-Loss Mutual Information

2014 ◽  
Vol 26 (1) ◽  
pp. 84-131 ◽  
Author(s):  
Masashi Sugiyama ◽  
Gang Niu ◽  
Makoto Yamada ◽  
Manabu Kimura ◽  
Hirotaka Hachiya
Keyword(s):  
Mutual Information ◽  
Optimization Problems ◽  
Continuous Optimization ◽  
Optimal Solution ◽  
Selection Procedure ◽  
Eigenvalue Decomposition ◽  
Model Parameters ◽  
Computationally Efficient ◽  
Novel Approach ◽  
Information Maximization

Information-maximization clustering learns a probabilistic classifier in an unsupervised manner so that mutual information between feature vectors and cluster assignments is maximized. A notable advantage of this approach is that it involves only continuous optimization of model parameters, which is substantially simpler than discrete optimization of cluster assignments. However, existing methods still involve nonconvex optimization problems, and therefore finding a good local optimal solution is not straightforward in practice. In this letter, we propose an alternative information-maximization clustering method based on a squared-loss variant of mutual information. This novel approach gives a clustering solution analytically in a computationally efficient way via kernel eigenvalue decomposition. Furthermore, we provide a practical model selection procedure that allows us to objectively optimize tuning parameters included in the kernel function. Through experiments, we demonstrate the usefulness of the proposed approach.

Identifying Measurement Invariant Item Sets in Cross-Cultural Settings Using an Automated Item Selection Procedure

Methodology ◽  
2018 ◽  
Vol 14 (4) ◽  
pp. 177-188 ◽  
Author(s):  
Martin Schultze ◽  
Michael Eid
Keyword(s):  
Measurement Invariance ◽  
Optimal Solution ◽  
Selection Procedure ◽  
Cross Cultural ◽  
Item Selection ◽  
Ant System ◽  
Item Quality ◽  
Ant System Algorithm ◽  
Selection For ◽  
Selection Of

Abstract. In the construction of scales intended for the use in cross-cultural studies, the selection of items needs to be guided not only by traditional criteria of item quality, but has to take information about the measurement invariance of the scale into account. We present an approach to automated item selection which depicts the process as a combinatorial optimization problem and aims at finding a scale which fulfils predefined target criteria – such as measurement invariance across cultures. The search for an optimal solution is performed using an adaptation of the [Formula: see text] Ant System algorithm. The approach is illustrated using an application to item selection for a personality scale assuming measurement invariance across multiple countries.

Ein nicht-parametrischer Zweistichproben-F-Test auf Randomisierungsbasis

1969 ◽  
Vol 08 (04) ◽  
pp. 215-219
Author(s):  
G. A. Lienert ◽  
H. Schulz
Keyword(s):  
Wird Eine ◽  
F Test

Es wird eine Übersicht über derzeit verfügbare verteilungsfreie Dispersionstests gegeben. Da bisher noch kein voll effizienter Zwei-Stichproben-Dispersionstest auf Randomisierungsbasis — entsprechend dem Randomisierungstest von Fisher für Lokationsunterschiede —• vorliegt, wurde ein solcher entwikkelt und an einem Beispiel demonstriert.Das Rationale beruht darauf, daß die Meßwerte eines Zwei-Stichproben-Vergleiches — nach den Regeln der Kombinatorik — in allen möglichen Kombinationen angeordnet werden und für jede Kombination der zugehörige Varianzquotient (F-Bruch) berechnet wird. Auf diese Weise erhält man eine stichprobenspezifische Prüfverteilung. Die Prüfgröße ergibt sich aus der Zahl der F-Werte, die den beobachteten F-Wert erreichen oder übersteigen. Die Alternativhypothese kann einoder zweiseitig formuliert werden.Vorteile des Tests: Er spricht nur auf Unterschiede der Dispersion zweier Stichproben an, und seine relative asymptotische Effizienz ist gleich eins. Nachteilig wirkt sich der erhebliche Rechenaufwand aus, wenn keine Rechenanlage zur Verfügung steht.

Optimal broadcast scheduling method for VANETs: An adaptive discrete firefly approach

2020 ◽  
Vol 39 (6) ◽  
pp. 8125-8137
Author(s):  
Jackson J Christy ◽  
D Rekha ◽  
V Vijayakumar ◽  
Glaucio H.S. Carvalho
Keyword(s):  
Intelligent Transportation System ◽  
Search Algorithm ◽  
Mac Protocol ◽  
High Mobility ◽  
Optimal Solution ◽  
Cuckoo Search ◽  
Cuckoo Search Algorithm ◽  
Traffic Density ◽  
Scheduling Problem ◽  
Broadcast Scheduling

Vehicular Adhoc Networks (VANET) are thought-about as a mainstay in Intelligent Transportation System (ITS). For an efficient vehicular Adhoc network, broadcasting i.e. sharing a safety related message across all vehicles and infrastructure throughout the network is pivotal. Hence an efficient TDMA based MAC protocol for VANETs would serve the purpose of broadcast scheduling. At the same time, high mobility, influential traffic density, and an altering network topology makes it strenuous to form an efficient broadcast schedule. In this paper an evolutionary approach has been chosen to solve the broadcast scheduling problem in VANETs. The paper focusses on identifying an optimal solution with minimal TDMA frames and increased transmissions. These two parameters are the converging factor for the evolutionary algorithms employed. The proposed approach uses an Adaptive Discrete Firefly Algorithm (ADFA) for solving the Broadcast Scheduling Problem (BSP). The results are compared with traditional evolutionary approaches such as Genetic Algorithm and Cuckoo search algorithm. A mathematical analysis to find the probability of achieving a time slot is done using Markov Chain analysis.

Faktor-Faktor Yang Mempengaruhi Keputusan Mahasiswa Memilih Program Studi Kebidanan STIKES Muhammadiyah Ciamis Tahun 2016

2018 ◽  
Vol 5 (1) ◽  
pp. 69-82
Author(s):  
Evi Mariana
Keyword(s):  
Data Analysis ◽  
Linear Regression ◽  
Multiple Linear Regression ◽  
Random Sampling ◽  
Sampling Method ◽  
Marketing Mix ◽  
Stratified Random Sampling ◽  
Price Promotion ◽  
F Test ◽  
Physical Evidence

The purpose of this study was to analyze the factors that influence the decisionof the students chose to study in Obstetrics Prodi STIKES Muhammadiyah Ciamis and analyze the factors that most influence the decision of the students chose to study in Obstetrics Prodi STIKES Muhammadiyah Ciamis. Collecting data in this study was conducted using a survey by questionnaire to 114 students by stratified random sampling method. Methods of data analysis using multiple linear regression, F test and test T. The result is a marketing mix that significantly is the product, place, and physical evidence. And that does not affect the marketing mix is price, promotion, place, and processes

PENGARUH KOMPETENSI, MOTIVASI, DAN KOMUNIKASI TERHADAP KINERJA PEGAWAI PADA DINAS PEKERJAAN UMUM DAN PENATAAN RUANG KABUPATEN BANDUNG BARAT

2019 ◽  
Vol 2 (2) ◽  
pp. 1-14
Author(s):  
Lydia Novi Yanti
Keyword(s):  
Case Studies ◽  
Secondary Data ◽  
T Test ◽  
Civil Servants ◽  
Quantitative Approach ◽  
Research Approach ◽  
Validity And Reliability ◽  
F Test ◽  
Simultaneous Test

This research is conducted in order to assess the effect of competency, motivation, and communication on employee’s performance (case studies at Dinas Pekerjaan Umum dan Penataan Ruang West Bandung Regency) partially and simultaneously. There are many factors that affect the employee’s performance, but this research is only limited to the factors of competency, motivation, and communication. The researcher used primary and secondary data. The research approach used is quantitative approach which the samples are 55 civil servants which is assessed by 5 Heads of Fields and 2 Heads Sub-Division. Before analyzing, all research validity and reliability instruments are examined. After the data are valid and reliable then analyzed by using classical assumption test, partial test (t test), and simultaneous test (F test) helping by IBM SPSS version 23 software. The result of analysis showed that competency, motivation, and communication variables are affected positively significantly and partially to the employee’s performance. Competency, motivation, and communication variables simultaneously affected positively and significantly about 54,3% and the rest is about 45,7% affected by other variable that is not observed in this research.  

Aplikasi Metode Hungarian Dalam Optimalisasi Waktu Penugasan Karyawan dan Keuntungan Produksi Home Industry

2019 ◽  
Vol 2 (2) ◽  
Author(s):  
Empya Charlie ◽  
Siti Rusdiana ◽  
Rini Oktavia
Keyword(s):  
Sensitivity Analysis ◽  
Optimal Solution ◽  
Optimal Scheduling ◽  
Total Work ◽  
Work Time ◽  
Hungarian Method ◽  
Total Work Time

Penelitian ini bertujuan untuk mengoptimalkan penjadwalan karyawan di CV. Karya Indah Bordir dalam melakukan tugas-tugas tertentu menggunakan metode Hungaria, serta menganalisis sensitivitas solusi optimal jika ada pengurangan waktu karyawan untuk menyelesaikan tugas-tugas. Metode Hongaria diterapkan pada proses bordir yang melibatkan 11 karyawan dan 10 tugas. Hasil penjadwalan yang optimal meminimalkan waktu produksi bordir perusahaan. Hasil penjadwalan optimal yang ditemukan adalah: karyawan 1 mengerjakan tas Mambo, karyawan 2 mengerjakan tas Elli, karyawan 3 mengerjakan tas Lonjong, karyawan 4 mengerjakan tas Tampang bunga, karyawan 6 mengerjakan tas Ransel, karyawan 7 mengerjakan tas Tima, karyawan 8 mengerjakan tas Keong, karyawan 9 mengerjakan tas Alexa, karyawan 10 mengerjakan tas Luna, dan karyawan 11 mengerjakan tas Mikha, dengan total waktu kerja adalah 13,7 jam. Setelah metode Hongaria diterapkan, CV. Karya Indah Bordir mendapat peningkatan pendapatan sebanyak 9,09%. Analisis sensitivitas dilakukan dengan mengurangi waktu karyawan dalam menyulam tas. Hasil analisis sensitivitas adalah beberapa batasan untuk variabel basis dan non basis untuk mempertahankan solusi optimal.   This research has a purpose to optimize the scheduling of employees in CV. Karya Indah Bordir in doing certain tasks using Hungarian method, as well as analyzing the sensitivity of the optimal solution if there is a reduction on the employees time to finish the tasks. The Hungarian method was applied on the embroidery process involving 11 employees and 10 tasks. The optimal scheduling result minimize the time of the embroidery production of the company. The optimal scheduling result found is: employee 1 does the Mambo bag, employee 2 does the Elli bag, employee 3 does the Lonjong bag, employee 4 does the Tampang bunga bag, employee 6 does the Ransel, employee 7 does the Tima bag, employee 8 does the Keong bag, employee 9 does the Alexa bag, employees 10 does the Luna bag, and employee 11 does the Mikha bag, with the total work time is 13,7 hours. After the Hungarian method was applied, CV. Karya Indah Bordir got the increasing revenue as much as 9,09 %. The sensitivity analysis was conducted by reducing the time of the employees take in embroidery the bags. The results of the sensitivity analysis are some boundaries for basis and non basis variables to maintain the optimal solution. 

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