Pub Date : 2020-09-22DOI: 10.22237/JMASM/1604190360
Julie Lorah
Analysis of complex survey data is demonstrated for the multilevel model. Description of specific aspects of analysis, including plausible values, sampling weights, and replicate weights is provided. Following this, example TIMSS data and models are described and results are presented.
{"title":"Estimating a Multilevel Model with Complex Survey Data: Demonstration using TIMSS","authors":"Julie Lorah","doi":"10.22237/JMASM/1604190360","DOIUrl":"https://doi.org/10.22237/JMASM/1604190360","url":null,"abstract":"Analysis of complex survey data is demonstrated for the multilevel model. Description of specific aspects of analysis, including plausible values, sampling weights, and replicate weights is provided. Following this, example TIMSS data and models are described and results are presented.","PeriodicalId":47201,"journal":{"name":"Journal of Modern Applied Statistical Methods","volume":" ","pages":"24"},"PeriodicalIF":0.0,"publicationDate":"2020-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47365443","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-09-04DOI: 10.22237/jmasm/1604189700
Dinesh S. Bhoj, Girish Chandra
A practical unbalanced Ranked Set Sampling (RSS) model is proposed to estimate the population mean of positively skewed distributions. The gains in the relative precisions of the population mean based on the proposed model for chosen distributions are uniformly higher than those based on balanced RSS and the t-model proposed in Kaur et al. (1997). The relative precisions of the simple unequal allocation model are, with one exception, better than (s, t)-model which is better than t-model. The relative precision of the proposed model is very close or equal to the optimal Neyman allocation model.
{"title":"Simple Unequal Allocation Procedure for Ranked Set Sampling with Skew Distributions","authors":"Dinesh S. Bhoj, Girish Chandra","doi":"10.22237/jmasm/1604189700","DOIUrl":"https://doi.org/10.22237/jmasm/1604189700","url":null,"abstract":"A practical unbalanced Ranked Set Sampling (RSS) model is proposed to estimate the population mean of positively skewed distributions. The gains in the relative precisions of the population mean based on the proposed model for chosen distributions are uniformly higher than those based on balanced RSS and the t-model proposed in Kaur et al. (1997). The relative precisions of the simple unequal allocation model are, with one exception, better than (s, t)-model which is better than t-model. The relative precision of the proposed model is very close or equal to the optimal Neyman allocation model.","PeriodicalId":47201,"journal":{"name":"Journal of Modern Applied Statistical Methods","volume":"146 2","pages":"22"},"PeriodicalIF":0.0,"publicationDate":"2020-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41258483","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-09-02DOI: 10.22237/jmasm/1594045320
T. R. Knapp
This primer is intended to provide the basic information for sampling without replacement from finite populations.
该引物旨在为在不替换有限群体的情况下进行采样提供基本信息。
{"title":"JMASM 54: A Comparison of Four Different Estimation Approaches for Prognostic Survival Oral Cancer Model","authors":"T. R. Knapp","doi":"10.22237/jmasm/1594045320","DOIUrl":"https://doi.org/10.22237/jmasm/1594045320","url":null,"abstract":"This primer is intended to provide the basic information for sampling without replacement from finite populations.","PeriodicalId":47201,"journal":{"name":"Journal of Modern Applied Statistical Methods","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49236504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-09-01DOI: 10.22237/jmasm/1604189760
Wan Muhamad Amir, Muhammad Azeem, M. H. Harun, Zalila Ali, M. Shafiq
Four types of estimation approaches for prognostic survival oral cancer model building are considered via a SAS algorithm: Efron’s Method, Exact Method, Breslow’s Method, and Discrete Method. Each method is illustrated separately and compared according to their coefficient parameter. An approach is considered by adding a bootstrapping technique for each handling ties method and a complete SAS algorithm is supplied for each proposed method, including methods for handling ties.
{"title":"JMASM 54: A Comparison of Four Different Estimation Approaches for Prognostic Survival Oral Cancer Model","authors":"Wan Muhamad Amir, Muhammad Azeem, M. H. Harun, Zalila Ali, M. Shafiq","doi":"10.22237/jmasm/1604189760","DOIUrl":"https://doi.org/10.22237/jmasm/1604189760","url":null,"abstract":"Four types of estimation approaches for prognostic survival oral cancer model building are considered via a SAS algorithm: Efron’s Method, Exact Method, Breslow’s Method, and Discrete Method. Each method is illustrated separately and compared according to their coefficient parameter. An approach is considered by adding a bootstrapping technique for each handling ties method and a complete SAS algorithm is supplied for each proposed method, including methods for handling ties.","PeriodicalId":47201,"journal":{"name":"Journal of Modern Applied Statistical Methods","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49462650","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-08-19DOI: 10.22237/jmasm/160418958
S. M. Sofi, Safina Peerzada, M. Baig
A ‘useful’ fuzzy measure of order α and type β is developed. Its validity established with a numerical example.
建立了α阶和β型的“有用”模糊测度。通过算例验证了其有效性。
{"title":"A New Two-Parametric ‘Useful’ Fuzzy Information Measure and its Properties","authors":"S. M. Sofi, Safina Peerzada, M. Baig","doi":"10.22237/jmasm/160418958","DOIUrl":"https://doi.org/10.22237/jmasm/160418958","url":null,"abstract":"A ‘useful’ fuzzy measure of order α and type β is developed. Its validity established with a numerical example.","PeriodicalId":47201,"journal":{"name":"Journal of Modern Applied Statistical Methods","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49627545","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-08-03DOI: 10.22237/jmasm/1604189340
Bilal Ahmad Bhad, M. Baig
The concept of weighted generalized entropy and its dynamic residual (version) is developed. The general expressions of these two uncertainty measures corresponding to some well-known lifetime distributions are derived. It is shown that the proposed dynamic entropy determines the survival function uniquely. Some significant properties and inequalities of this dynamic entropy are also discussed.
{"title":"A New Two Parametric Weighted Generalized Entropy for Lifetime Distributions","authors":"Bilal Ahmad Bhad, M. Baig","doi":"10.22237/jmasm/1604189340","DOIUrl":"https://doi.org/10.22237/jmasm/1604189340","url":null,"abstract":"The concept of weighted generalized entropy and its dynamic residual (version) is developed. The general expressions of these two uncertainty measures corresponding to some well-known lifetime distributions are derived. It is shown that the proposed dynamic entropy determines the survival function uniquely. Some significant properties and inequalities of this dynamic entropy are also discussed.","PeriodicalId":47201,"journal":{"name":"Journal of Modern Applied Statistical Methods","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43563227","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-28DOI: 10.22237/jmasm/1604189280
M. Tayyab, Muhammad Noor ul-Amin, M. Hanif
Even order ranked set sampling (EORSS) is a novel proposed ranked set sampling scheme connected with an auxiliary variable correlated with the study variable. This scheme quantifies only the one sampling unit which is at even position from each ranking set by employing specific criteria. The performance of the ratio estimator under EORSS is compared to its contemporary estimators in simple random sampling (SRS), ranked set sampling (RSS), median ranked set sampling (MRSS) and quartile ranked set sampling (QRSS) exploiting the same number of quantified units. The simulation results proved that EORSS is an efficient alternative sampling scheme for ratio estimation than SRS, RSS, MRSS and QRSS.
{"title":"Even Order Ranked Set Sampling with Auxiliary Variable","authors":"M. Tayyab, Muhammad Noor ul-Amin, M. Hanif","doi":"10.22237/jmasm/1604189280","DOIUrl":"https://doi.org/10.22237/jmasm/1604189280","url":null,"abstract":"Even order ranked set sampling (EORSS) is a novel proposed ranked set sampling scheme connected with an auxiliary variable correlated with the study variable. This scheme quantifies only the one sampling unit which is at even position from each ranking set by employing specific criteria. The performance of the ratio estimator under EORSS is compared to its contemporary estimators in simple random sampling (SRS), ranked set sampling (RSS), median ranked set sampling (MRSS) and quartile ranked set sampling (QRSS) exploiting the same number of quantified units. The simulation results proved that EORSS is an efficient alternative sampling scheme for ratio estimation than SRS, RSS, MRSS and QRSS.","PeriodicalId":47201,"journal":{"name":"Journal of Modern Applied Statistical Methods","volume":"18 1","pages":"15"},"PeriodicalIF":0.0,"publicationDate":"2020-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43272479","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-28DOI: 10.22237/jmasm/1604189220
A. Al-Omari, E. Ciavolino, Amjad D. Al-Nasser
A single acceptance sampling plan for the three-parameter Lindley distribution under a truncated life test is developed. For various consumer’s confidence levels, acceptance numbers, and values of the ratio of the experimental time to the specified average lifetime, the minimum sample size important to assert a certain average lifetime are calculated. The operating characteristic (OC) function values as well as the associated producer’s risks are also provided. A numerical example is presented to illustrate the suggested acceptance sampling plans.
{"title":"Economic Design of Acceptance Sampling Plans for Truncated Life Tests Using Three-Parameter Lindley Distribution","authors":"A. Al-Omari, E. Ciavolino, Amjad D. Al-Nasser","doi":"10.22237/jmasm/1604189220","DOIUrl":"https://doi.org/10.22237/jmasm/1604189220","url":null,"abstract":"A single acceptance sampling plan for the three-parameter Lindley distribution under a truncated life test is developed. For various consumer’s confidence levels, acceptance numbers, and values of the ratio of the experimental time to the specified average lifetime, the minimum sample size important to assert a certain average lifetime are calculated. The operating characteristic (OC) function values as well as the associated producer’s risks are also provided. A numerical example is presented to illustrate the suggested acceptance sampling plans.","PeriodicalId":47201,"journal":{"name":"Journal of Modern Applied Statistical Methods","volume":" ","pages":"16"},"PeriodicalIF":0.0,"publicationDate":"2020-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46801092","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-28DOI: 10.22237/jmasm/1604190900
D. R. Saalman
The ability to complete program evaluations of educational programming is typically restricted by the availability of resources, such as time, money and a trained evaluator. Although not a replacement for trained evaluators, promoting evaluative capacity and evaluative thinking within an organization can help mitigate this gap between talent and resources. Participatory evaluation is purported to increase organizational learning and promote evaluative thinking within an organization (Cousins and Whitmore, 1998). Objectives oriented evaluation is an easily understood evaluation method which provides a refined focus program outcome (Madaus and Stufflebeam, 1989). Using an internal evaluation of a new faculty onboarding course at a private non-profit college system, a mixed methods study was completed to explore the use of a participatory evaluation program evaluation with the use of the program objectives as an advanced organizer. An explanatory sequential design was employed utilizing quantitative findings to collect qualitative data to further explore the participants’ experiences completing the program evaluation. This combined evaluation methodology met the criteria posited in Daigneault and Jacob (2009) and Toal (2009) to be considered participatory in its implementation. It also involved participants in ways which provided them experiences which helped develop evaluative thinking, skills, and beliefs.
{"title":"Objectives Driven Participatory Evaluation Model","authors":"D. R. Saalman","doi":"10.22237/jmasm/1604190900","DOIUrl":"https://doi.org/10.22237/jmasm/1604190900","url":null,"abstract":"The ability to complete program evaluations of educational programming is typically restricted by the availability of resources, such as time, money and a trained evaluator. Although not a replacement for trained evaluators, promoting evaluative capacity and evaluative thinking within an organization can help mitigate this gap between talent and resources. Participatory evaluation is purported to increase organizational learning and promote evaluative thinking within an organization (Cousins and Whitmore, 1998). Objectives oriented evaluation is an easily understood evaluation method which provides a refined focus program outcome (Madaus and Stufflebeam, 1989). Using an internal evaluation of a new faculty onboarding course at a private non-profit college system, a mixed methods study was completed to explore the use of a participatory evaluation program evaluation with the use of the program objectives as an advanced organizer. An explanatory sequential design was employed utilizing quantitative findings to collect qualitative data to further explore the participants’ experiences completing the program evaluation. This combined evaluation methodology met the criteria posited in Daigneault and Jacob (2009) and Toal (2009) to be considered participatory in its implementation. It also involved participants in ways which provided them experiences which helped develop evaluative thinking, skills, and beliefs.","PeriodicalId":47201,"journal":{"name":"Journal of Modern Applied Statistical Methods","volume":" ","pages":"14"},"PeriodicalIF":0.0,"publicationDate":"2020-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47164666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-24DOI: 10.22237/jmasm/1604189160
S. Ashour, M. S. A. Muiftah
Bayesian estimation of the continuous Weibull distribution parameters was studied by Ahmad and Ahmad (2013) under the assumption of knowing the shape parameter. Bayesian estimates are considered here of the parameters of the discrete Weibull Type I [DW(I)] distribution and are obtained under two different assumptions: when the shape parameter is known, and when both parameters are independent random variables. A Mathcad program is performed to simulate data from the DW(I) distribution considering different values of the parameters and different sample sizes, and to obtain Bayesian parameter estimates. The resulted estimates are compared to the ML and proportion estimates obtained by Khan et al. (1989).
Ahmad和Ahmad(2013)在知道形状参数的假设下研究了连续威布尔分布参数的贝叶斯估计。这里考虑离散Weibull Type I [DW(I)]分布参数的贝叶斯估计,并在两种不同的假设下得到:当形状参数已知时,以及当两个参数都是独立的随机变量时。使用Mathcad程序模拟考虑不同参数值和不同样本量的DW(I)分布数据,得到贝叶斯参数估计。将结果估计与Khan等人(1989)获得的ML和比例估计进行比较。
{"title":"Bayesian Estimation of the Parameters of Discrete Weibull Type (I) Distribution","authors":"S. Ashour, M. S. A. Muiftah","doi":"10.22237/jmasm/1604189160","DOIUrl":"https://doi.org/10.22237/jmasm/1604189160","url":null,"abstract":"Bayesian estimation of the continuous Weibull distribution parameters was studied by Ahmad and Ahmad (2013) under the assumption of knowing the shape parameter. Bayesian estimates are considered here of the parameters of the discrete Weibull Type I [DW(I)] distribution and are obtained under two different assumptions: when the shape parameter is known, and when both parameters are independent random variables. A Mathcad program is performed to simulate data from the DW(I) distribution considering different values of the parameters and different sample sizes, and to obtain Bayesian parameter estimates. The resulted estimates are compared to the ML and proportion estimates obtained by Khan et al. (1989).","PeriodicalId":47201,"journal":{"name":"Journal of Modern Applied Statistical Methods","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45027909","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}