scholarly journals The Efficiency of Cluster Sampling with Ratio Estimators Using Single and Two Auxiliary Variables Over simple Random Sampling

2014 ◽  
Vol 01 (01) ◽  
pp. 38-44
Author(s):  
Mariam Al-Mannai
Keyword(s):  
Random Sampling ◽  
Simple Random Sampling ◽  
Cluster Sampling ◽  
Auxiliary Variables ◽  
Ratio Estimators

scholarly journals Ratio Estimators Using Coefficient of Variation and Coefficient of Correlation

2014 ◽  
Vol 8 (5) ◽  
pp. 70 ◽  
Author(s):  
Prayad Sangngam
Keyword(s):  
Sample Size ◽  
Coefficient Of Variation ◽  
Random Sampling ◽  
Simple Random Sampling ◽  
Stratified Random Sampling ◽  
Size Estimation ◽  
Auxiliary Variables ◽  
Coefficient Of Correlation ◽  
Ratio Estimators ◽  
Mean Square Errors

This paper introduces ratio estimators of the population mean using the coefficient of variation of  study variable and auxiliary variables together with the coefficient of correlation between the study and auxiliary variables under simple random sampling and stratified random sampling. These ratio estimators are almost unbiased. The mean square errors of the estimators and their estimators are given. Sample size estimation in both sampling designs are presented. An optimal sample size allocation in stratified random sampling is also suggested. Based on theoretical study, it can be shown that these ratio estimators have smaller MSE than the unbiased estimators. Moreover, the empirical study indicates that these ratio estimators have smallest MSE compared to the existing ones.

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 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

Ratio-Type Estimation Using Scrabled Auxiliary Variables in Stratification Under Simple Random Sampling and Ranked Set Sampling

2022 ◽  
pp. 62-85
Author(s):  
Carlos N. Bouza-Herrera ◽  
Jose M. Sautto ◽  
Khalid Ul Islam Rather
Keyword(s):  
Random Sampling ◽  
Mean Squared Error ◽  
Simple Random Sampling ◽  
Ranked Set Sampling ◽  
Auxiliary Variables ◽  
Mild Conditions ◽  
Squared Error ◽  
The Mean ◽  
Better Than

This chapter introduced basic elements on stratified simple random sampling (SSRS) on ranked set sampling (RSS). The chapter extends Singh et al. results to sampling a stratified population. The mean squared error (MSE) is derived. SRS is used independently for selecting the samples from the strata. The chapter extends Singh et al. results under the RSS design. They are used for developing the estimation in a stratified population. RSS is used for drawing the samples independently from the strata. The bias and mean squared error (MSE) of the developed estimators are derived. A comparison between the biases and MSEs obtained for the sampling designs SRS and RSS is made. Under mild conditions the comparisons sustained that each RSS model is better than its SRS alternative.

scholarly journals On Estimation of Distribution Function Using Dual Auxiliary Information under Nonresponse Using Simple Random Sampling

2020 ◽  
Vol 2020 ◽  
pp. 1-13 ◽  
Author(s):  
Saddam Hussain ◽  
Mi Zichuan ◽  
Sardar Hussain ◽  
Anum Iftikhar ◽  
Muhammad Asif ◽  
...  
Keyword(s):  
Random Sampling ◽  
Mean Squared Error ◽  
Population Distribution ◽  
Auxiliary Information ◽  
Simple Random Sampling ◽  
Auxiliary Variable ◽  
Distribution Functions ◽  
Supplementary Information ◽  
Auxiliary Variables ◽  
Estimation Of Distribution

In this paper, we proposed two new families of estimators using the supplementary information on the auxiliary variable and exponential function for the population distribution functions in case of nonresponse under simple random sampling. The estimations are done in two nonresponse scenarios. These are nonresponse on study variable and nonresponse on both study and auxiliary variables. As we have highlighted above that two new families of estimators are proposed, in the first family, the mean was used, while in the second family, ranks were used as auxiliary variables. Expression of biases and mean squared error of the proposed and existing estimators are obtained up to the first order of approximation. The performances of the proposed and existing estimators are compared theoretically. On these theoretical comparisons, we demonstrate that the proposed families of estimators are better in performance than the existing estimators available in the literature, under the obtained conditions. Furthermore, these theoretical findings are braced numerically by an empirical study offering the proposed relative efficiencies of the proposed families of estimators.

PARENTAL SOCIO-ECONOMIC BACKGROUND AND STUDENTS’ ACADEMIC PERFORMANCE IN PUBLIC SECONDARY SCHOOLS IN IKOLOMANI SUB- COUNTY, KAKAMEGA COUNTY, KENYA

2019 ◽  
Vol 3 (1) ◽  
pp. 15
Author(s):  
Brenda Muhavi Madegwa ◽  
Sr. Dr. Elizabeth Piliyesi ◽  
Sr. Dr. Theonestina Katundano
Keyword(s):  
Academic Performance ◽  
Secondary Schools ◽  
Random Sampling ◽  
Quantitative Data ◽  
Simple Random Sampling ◽  
Cluster Sampling ◽  
Parental Occupation ◽  
Quantitative And Qualitative Research ◽  
Economic Background ◽  
Parental Level

Purpose: The purpose of this study was to investigate to what extent the socio- economic background of parents influence the academic performance of students in public secondary schools in Ikolomani Sub- County, Kakamega County. This study was guided by the following research questions: How does parental level of education influence students’ performance? How does parental occupation level influence students’ performance? How does parental income level influence students’performance? What are the socioeconomic challenges facing parents in enhancing students’ academic performance in public secondary schools in lkolomani Sub-County? What are the possible solutions to enhance students’ academic performance in public secondary schools in lkolomani Sub-County?Methodology: The study used both quantitative and qualitative research approaches. The study employed proportionate stratified random sampling to select the schools while purposive, cluster sampling and simple random sampling was used to select the students. Teachers were selected using stratified and simple random sampling. Principals, parents’ representatives and Education officer were purposively selected. Data were collected using questionnaires, document analysis and interview guide. Qualitative and quantitative data were concurrently collected and analyzed. Statistical package for Social Science (SPSS version 23) was used to analyze quantitative data while qualitative data was analyzed thematically to obtain views and perceptions of the respondents.Results: The study found that parental socio-economic background played  a key role in enhancement of students’ academic performance.Recommendations: The study recommended that parents should be encouraged to start small income generating business so as to cater for the educational needs of their children.

A Test of Cluster Sampling in Forest Inventories

1975 ◽  
Vol 5 (2) ◽  
pp. 269-272 ◽  
Author(s):  
G. M. Bonnor
Keyword(s):  
Random Sampling ◽  
Sampling Design ◽  
Simple Random Sampling ◽  
Cluster Sampling ◽  
Field Sampling ◽  
Forest Inventories ◽  
Straight Line ◽  
Time Required ◽  
Variance Estimates ◽  
The Given

During a recent pilot survey in Newfoundland, forest data were collected using a stratified, one-stage cluster-sampling design. The data were analyzed to determine if, within the stratified framework, cluster sampling would be more efficient than simple random sampling. Each cluster consisted of five point-samples located in a straight line. For the analysis, volume and variance estimates were determined from clusters of 1,2,3,4 and 5 points. During the survey, records were kept of the time required to complete various field-sampling tasks. These were used in lieu of cost data in the analysis. Results indicated that, for the given conditions, simple random sampling was more efficient than cluster sampling. However, relatively small changes in the conditions would make cluster sampling more efficient.

scholarly journals Implementasi Metode Saintifik oleh Guru PAI di SMA Se-Aceh

At- Tarbawi ◽  
2019 ◽  
Vol 6 (1) ◽  
pp. 26-41
Author(s):  
Zainal Abidin
Keyword(s):  
Mixed Method ◽  
Random Sampling ◽  
Simple Random Sampling ◽  
Cluster Sampling

Penelitian ini bertujuan untuk mengetahui pemahaman guru Pendidikan Agama Islam (PAI) tentang metode saintifik dalam implementasi kurikulum 2013 dalam merancang dan melaksanakan  pembelajaran PAI pada Sekolah Menengah Atas (SMA) Provinsi Aceh. Desain penelitian ini menggunakan pendekatan kuantitatif dan kualitatif (mixed method concurrent nested/concurrent embedded strategy) yang dilaksanakan pada 102 sekolah dengan menggunakan instrumen kuesioner dan 12 sekolah menggunakan instrumen wawancara. Penelitian ini melibatkan 211 guru PAI yang dipilih melalui persampelan porposive sampling, simple random sampling dan cluster sampling persampelan untuk kuantitatif dan 12 responden untuk kualitatif. Analisis data penelitian kuantitatif menggunakan statistik inferensi melalui analisis uji-t serta menggunakan analisis data wawancara untuk kualitatif. Hasil penelitian menunjukkan terdapat perbedaan yang signifikan kemampuan guru PAI dalam memahami metode saintifik berdasarkan pada substansi kurikulum 2013. Ini menunjukkan bahwa guru PAI wilayah dalam Kota lebih memahami metode pembelajaran saintifik dibandingkan dengan guru PAI luar Kota.

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