Effect of cluster sampling in biomass tables construction: linear regression models

1982 ◽  
Vol 12 (2) ◽  
pp. 255-263 ◽  
Author(s):  
E. F. Briggs ◽  
T. Cunia
Keyword(s):  
Linear Regression ◽  
Least Squares ◽  
Random Sampling ◽  
Simple Random Sampling ◽  
Cluster Sampling ◽  
Least Squares Regression ◽  
Linear Regression Models ◽  
Biomass Component ◽  
Regression Techniques ◽  
Classical Linear Regression

To construct tree biomass tables it is customary to select the sample trees by cluster sampling and then to apply the classical least squares regression techniques under the assumption of simple random sampling. A modified linear regression procedure is proposed for which the assumption of simple random sampling is no longer required. The procedure can be used when (i) the regression of a biomass component on tree characteristics other than biomass can be approximated reasonably well by a linear function and (ii) the number of sample clusters is sufficiently large. Applied to two large cluster samples of trees, where the cluster size is approximately equal to five trees, and compared with the classical linear regression approach, the modified procedure results in biomass tables which arc essentially the same. The confidence intervals, however, are quite different. The classical least squares regression method results in intervals which, on the average, are about 60% as large as those calculated by the modified procedure.

Linear regression models for biomass table construction, using cluster samples

1989 ◽  
Vol 19 (5) ◽  
pp. 664-673 ◽  
Author(s):  
Andrew J. R. Gillespie ◽  
Tiberius Cunia
Keyword(s):  
Least Squares ◽  
Regression Models ◽  
Predictor Variable ◽  
Ordinary Least Squares ◽  
Cluster Sampling ◽  
Parameter Estimates ◽  
Least Squares Regression ◽  
Linear Regression Models ◽  
Estimation Procedures ◽  
Biased Estimates

Biomass tables are often constructed from cluster samples by means of ordinary least squares regression estimation procedures. These procedures assume that sample observations are uncorrelated, which ignores the intracluster correlation of cluster samples and results in underestimates of the model error. We tested alternative estimation procedures by simulation under a variety of cluster sampling methods, to determine combinations of sampling and estimation procedures that yield accurate parameter estimates and reliable estimates of error. Modified, generalized, and jack-knife least squares procedures gave accurate parameter and error estimates when sample trees were selected with equal probability. Regression models that did not include height as a predictor variable yielded biased parameter estimates when sample trees were selected with probability proportional to tree size. Models that included height did not yield biased estimates. There was no discernible gain in precision associated with sampling with probability proportional to size. Random coefficient regressions generally gave biased point estimates with poor precision, regardless of sampling method.

scholarly journals Analisis faktor pendorong minat nasabah dalam memilih Tabungan Haji di Bank Syariah Mandiri Kantor Cabang Aceh

2021 ◽  
pp. 124-141
Author(s):  
Nurma Sari ◽  
Lika Annisa ◽  
Eka Nurlina
Keyword(s):  
Linear Regression ◽  
Service Quality ◽  
Multiple Linear Regression ◽  
Random Sampling ◽  
Regression Models ◽  
Social Promotion ◽  
Sampling Technique ◽  
Simple Random Sampling ◽  
Linear Regression Models ◽  
Multiple Linear Regression Models

This study aims to partially and simultaneously analyze the influence of service quality, social, promotion, and knowledge on customer interest in using Hajj savings at Bank Syariah Mandiri in Aceh. Based on 122 questionnaires distributed to respondents, using probability sampling technique, which is simple random sampling and later analyzed by using multiple linear regression models, the results show that service quality, social, promotion, and knowledge have a simultaneous and partial effect on customer interest in using Hajj savings at Bank Syariah Mandiri in Aceh.

Effect of cluster sampling in biomass tables construction: ratio estimators models

1981 ◽  
Vol 11 (3) ◽  
pp. 475-486 ◽  
Author(s):  
T. Kotimaki ◽  
T. Cunia
Keyword(s):  
Random Sampling ◽  
Geographical Location ◽  
Simple Random Sampling ◽  
Cluster Sampling ◽  
Interval Estimates ◽  
Tree Diameter ◽  
Two Samples ◽  
Regression Techniques ◽  
Biomass Components ◽  
Independent Variable

To minimize field costs, it is ordinarily efficient to select sample trees by cluster sampling; that is, to select several trees from the same geographical location. But when the sample trees are used to construct biomass tables, it is also customary to use regression techniques based on the simple random sampling assumption. This procedure gives rise to errors in the statistical analysis that are largely ignored.A method is shown to evaluate the validity of the regression analysis when the undefined relationship between a dependent variable y and an independent variable x can be sufficiently well approximated by a line of the form y = βx. This method is then applied to two samples of trees selected in clusters of approximately five trees. The regression of nine variables y (various biomass components) on six variables x (functions of tree diameter and height) are then considered. It is shown that analyzing data selected by cluster sampling as data selected by simple random sampling results in relatively large errors in the interval estimates of β. More specifically, the confidence intervals based on the random sampling assumption are ordinarily found to be between 60 and 80% of those based on the cluster sampling assumption. Within the regression model used, however, the point estmates of β remained unchanged.

scholarly journals Tolerance Intervals in a Heteroscedastic Linear Regression Context with Applications to Aerospace Equipment Surveillance

2009 ◽  
Vol 2009 ◽  
pp. 1-8 ◽  
Author(s):  
Janet Myhre ◽  
Daniel R. Jeske ◽  
Michael Rennie ◽  
Yingtao Bi
Keyword(s):  
Linear Regression ◽  
Least Squares ◽  
Performance Metrics ◽  
Weighted Least Squares ◽  
Ordinary Least Squares ◽  
Automated System ◽  
Least Squares Regression ◽  
Data Set ◽  
Tolerance Intervals ◽  
Power Of The Test

A heteroscedastic linear regression model is developed from plausible assumptions that describe the time evolution of performance metrics for equipment. The inherited motivation for the related weighted least squares analysis of the model is an essential and attractive selling point to engineers with interest in equipment surveillance methodologies. A simple test for the significance of the heteroscedasticity suggested by a data set is derived and a simulation study is used to evaluate the power of the test and compare it with several other applicable tests that were designed under different contexts. Tolerance intervals within the context of the model are derived, thus generalizing well-known tolerance intervals for ordinary least squares regression. Use of the model and its associated analyses is illustrated with an aerospace application where hundreds of electronic components are continuously monitored by an automated system that flags components that are suspected of unusual degradation patterns.

scholarly journals PENGARUH IMPLEMENTASI KEBIJAKAN PERIMBANGAN KEUANGAN TERHADAP KUALITAS PELAYANAN PUSKESMAS: STUDI KASUS KOTA BANJAR PROPINSI JAWA BARAT

2010 ◽  
Vol 12 (1) ◽  
pp. 25
Author(s):  
M. Arry Djauhari
Keyword(s):  
Random Sampling ◽  
Simple Random Sampling ◽  
Structure Equation ◽  
Equation Modeling ◽  
Cluster Sampling ◽  
Structure Equation Modeling

Pemerintah Kota Banjar dalam memberikan pelayanan kesehatan masih tergantung kepada kebijakan perimbangan keuangan, karena terbatasnya sumberdaya yang di miliki. Implementasi kebijakan perimbangan keuangan yang belum optimal dengan indikasi terbatasnya kemampuan sumberdaya manusia, baik secara kualitas maupun kuantitas yang memperlihatkan kecenderungan pengaruh yang terbesar dalam dimensi implementasi kebijakan. Keterbatasan kemampuan dalam mengelola sumber daya baik sumberdaya alam maupun sumberdaya manusia sangat tergantung kepada kemampuan keuangan daerah sendiri dalam pembiayaan penyelenggaraan otonomi daerahnya. Metode penelitian yang digunakan dalam penelitian ini adalah metode eksplanasi, dengan sample gugus bertahap (Cluster sampling), pengambilan sampel dilakukan secara bertahap berdasarkan wilayah-wilayah administratif yang terdapat pusat pelayanan kesehatan dengan metode acak sederhana (Simple Random Sampling). Pengolahan data diuji dengan menggunakan Structure Equation Modeling (SEM) dengan suatu prosedur yang di dasarkan pada Methods of Succesive Interval. Hasil penelitian menunjukkan bahwa implementasi kebijakan perimbangan keuangan dalam pelaksanaan otonomi daerah yang didasarkan pada dimensi komunikasi, sumberdaya, disposisi/sikap pelaksana dan struktur birokrasi secara bersama-sama atau tersendiri secara signifikan mempengaruhi kualitas pelayanan kesehatan. Dimensi dukungan merupakan dimensi yang paling besar pengaruhnya terhadap peningkatan pelayanan kesehatan diikuti dengan struktur birokrasi, sumberdaya dan komunikasi.

scholarly journals THE EFFECT OF ENTREPRENEURSHIP EDUCATION AND FAMILY ENVIRONMENT ON INTERESTS ENTREPRENEURSHIP IN STUDENT OF THE FACULTY OF ECONOMICS, UNIVERSITY OF NGURAH RAI IN DENPASAR

2020 ◽  
Vol 1 (2) ◽  
pp. 158-166
Author(s):  
Ni Kadek Purnamawati ◽  
Ade Maharini Adiandari ◽  
Nyoman Dwika Ayu Amrita ◽  
Luh Putu Virra Indah Perdanawati
Keyword(s):  
Linear Regression ◽  
Multiple Linear Regression ◽  
Family Environment ◽  
Significant Influence ◽  
Random Sampling ◽  
Sampling Method ◽  
Sampling Technique ◽  
Entrepreneurship Education ◽  
Simple Random Sampling ◽  
The Family

This study aims to determine the effect of entrepreneurship education and family environment partially and simultaneously on the interest in entrepreneur in student of the Faculty of Economics, University of Ngurah Rai in Denpasar. The number of samples is determined by the Probability Sampling technique using the Simple Random Sampling method of 75 students in the sixth semester of the Faculty of Economics, University of Ngurah Rai in Denpasar. Analyzed by classical assumption, multiple linear regression analys, determination analys, simultaneous significant test (F-test) and partial significant test (T-test). The results showed that there was a positive and significant influence partially or simultaneously between entrepreneur education and the family environment towards the interest in entrepreneurship in students of the Faculty of Economics, University of Ngurah Rai in Denpasar.

scholarly journals Analisi Kinerja Harga Pengaruhnya Terhadap Reputasi dan Keputusan Menggunakan Jasa Penerbangan (Survei terhadap penumpang Air Asia dengan rute Bandung – Denpasar)

2018 ◽  
Vol 5 (2) ◽  
Author(s):  
Anisa Rosdiana
Keyword(s):  
Random Sampling ◽  
Simple Random Sampling ◽  
Cluster Sampling ◽  
Data Path

Penumpang memiliki peran sentral selaku pembuat keputusan untuk menggunakan maskapai penerbangan. Namun pertumbuhan jumlah penumpang Air Asia mengalami penurunan. Hal ini terjadi karena reputasi Air Asia yang kurang baik. Melalui upaya kinerja harga, diharapkan dapat meningkatkan jumlah pertumbuhan penumpang Air Asia.Adapun tujuan dari penelitian ini adalah untuk mengetahui: (1) gambaran kinerja harga pada penumpang maskapai penerbangan Air Asia (2) gambaran reputasi Air Asia pada penumpang maskapai penerbangan Air Asia (3) gambaran keputusan menggunakan pada penumpang maskapai penerbangan Air Asia (4) pengaruh kinerja harga terhadap reputasi dan keputusan menggunakan masakapai penerbanganAir Asia.Objek dari penelitian ini adalah penumpang Air Asia dengan rute Bandung – Denpasar, adapun metode penelitiannya menggunakan deskriftif dan verifikatif. Sumber data yang dipergunakan adalah primer dan sekunder. Populasi sebanyak 214.450 orang diambil sample penelitian sejumlah 100 orang. Simple Random Sampling khususnya Cluster Sampling merupakan teknik pengambilan sample yang penulis pilih. Teknik pengumpulan data dilakukan melalui wawancara, observasi, kuesioner, dan studi literatur. Untuk mengukur besarnya pengaruh kinerja harga terhadap reputasi dan keputusan menggunakan maskapai penerbangan, digunakan teknik analisis data path (analisis jalur). Hasil penelitian mengungkapkan bahwa pelaksanaan kinerja harga dinilai oleh penumpang cukup tinggi. Reputasi dinilai cukup tinggi, sedangkan keadaan keputusan menggunakan maskapai penerbangan secara umum dinilai cukup tinggi. Besarnya pengaruh kinerja harga terhadap reputasi adalah cukup tinggi sebesar 60,8%. Besarnya pengaruh kinerja harga terhadap keputusan menggunakan maskapai penerbangan adalah cukup tinggi sebesar 75,8%. Besarnya pengaruh reputasi terhadap keputusan menggunakan maskapai penerbangan adalah cukup tinggi sebesar 69,3%. Sedangkan pengaruh kinerja harga terhadap reputasi dan keputusan menggunakan maskapai penerbangan berpengaruh secara simultan signifikan. Hasil penelitian, maka perlu diadakannya usaha dalam peningkatan kinerja harga yang sesuai dengan harapan penumpang termasuk dalam kualitas pelayanan agar dapat meningkatkan reputasi perusahaan sehingga penumpang memutuskan untuk menggunakan maskapai penerbangan Air Asia

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