In 2k complete factorial experiment, the experiment must be carried out in a completely randomized design. When the numbers of factors increase, the number of treatment combinations increase and it is not possible to accommodate all these treatment combinations in one homogeneous block. In this case, confounding in more than one incomplete block becomes necessary. In this paper, we considered the choice of confounding when k > 2. Our findings show that the choice of confounding depends on the number of factors, the number of blocks and their sizes. When two more interactions are to be confounded, their product module 2 should be considered and thereafter, a linear combination equation should be used in allocating the treatment effects in the principal block. Other contents in other blocks are generated by multiplication module 2 of the effects not in the principal block. Partial confounding is recommended for the interactions that cannot be confounded.
{"title":"Choice of Confounding in the 2k Factorial Design in 2b Blocks","authors":"F. Eze","doi":"10.32861/AJAMS.55.50.56","DOIUrl":"https://doi.org/10.32861/AJAMS.55.50.56","url":null,"abstract":"In 2k complete factorial experiment, the experiment must be carried out in a completely randomized design. When the numbers of factors increase, the number of treatment combinations increase and it is not possible to accommodate all these treatment combinations in one homogeneous block. In this case, confounding in more than one incomplete block becomes necessary. In this paper, we considered the choice of confounding when k > 2. Our findings show that the choice of confounding depends on the number of factors, the number of blocks and their sizes. When two more interactions are to be confounded, their product module 2 should be considered and thereafter, a linear combination equation should be used in allocating the treatment effects in the principal block. Other contents in other blocks are generated by multiplication module 2 of the effects not in the principal block. Partial confounding is recommended for the interactions that cannot be confounded.","PeriodicalId":375032,"journal":{"name":"Academic Journal of Applied Mathematical Sciences","volume":"121 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122460851","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 : 2019-05-15DOI: 10.32861/ajams.510.136.139
I. I. S. Suleiman, O. Ejima
In this paper we propose a definition for a semi-magic permutation and study the composition function behavior between the magic, semi-magic and non-magic permutation using the structure defined as: (figure) Where p is a prime greater than or less than five. We equally observed that no permutations for is magic or semi-magic.
{"title":"Semi-Magic Permutation: A Composition Study on the Structure ωi","authors":"I. I. S. Suleiman, O. Ejima","doi":"10.32861/ajams.510.136.139","DOIUrl":"https://doi.org/10.32861/ajams.510.136.139","url":null,"abstract":"In this paper we propose a definition for a semi-magic permutation and study the composition function behavior between the magic, semi-magic and non-magic permutation using the structure defined as: (figure) Where p is a prime greater than or less than five. We equally observed that no permutations for is magic or semi-magic.","PeriodicalId":375032,"journal":{"name":"Academic Journal of Applied Mathematical Sciences","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114498656","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 : 2019-05-15DOI: 10.32861/ajams.55.43.49.
Okeke Charles C.
Some methods used to analysis between government wage policy on minimum wage saga in Nigeria were considered. Descriptive Statistics, The Ordinary Least Square technique; Correlation Analysis tools were employed to ascertain the significant difference between government wage policy on minimum wage saga in Nigeria. Data were collected for period 1974 – 2000.Our results shows that year of review is negatively and significant on government wage policy on minimum wage saga in Nigeria. Consumer Price Index is negatively and significant on government wage policy on minimum wage saga in Nigeria. Also, there is a perfect negative association on year of review between real minimum wage on government wage policy on minimum wage saga in Nigeria and it is significant, with a perfect positive association year of review between consumer price index on government wage policy on minimum wage saga in Nigeria and it is significant and there is a negative moderate association on real minimum wage between consumer price index on government wage policy on minimum wage saga in Nigeria and it is significant. This study therefore recommends that government should reduce the cost of governance and improve the living standard of workers by fixing a better wage. Finally, diversifying the Nigeria economy is necessary for states to enhance their internally generated revenue and step into creation of employment opportunities and better pay package.
{"title":"Statisical Analysis Between Government Wage Policy on Minimum Wage Saga in Nigeria","authors":"Okeke Charles C.","doi":"10.32861/ajams.55.43.49.","DOIUrl":"https://doi.org/10.32861/ajams.55.43.49.","url":null,"abstract":"Some methods used to analysis between government wage policy on minimum wage saga in Nigeria were considered. Descriptive Statistics, The Ordinary Least Square technique; Correlation Analysis tools were employed to ascertain the significant difference between government wage policy on minimum wage saga in Nigeria. Data were collected for period 1974 – 2000.Our results shows that year of review is negatively and significant on government wage policy on minimum wage saga in Nigeria. Consumer Price Index is negatively and significant on government wage policy on minimum wage saga in Nigeria. Also, there is a perfect negative association on year of review between real minimum wage on government wage policy on minimum wage saga in Nigeria and it is significant, with a perfect positive association year of review between consumer price index on government wage policy on minimum wage saga in Nigeria and it is significant and there is a negative moderate association on real minimum wage between consumer price index on government wage policy on minimum wage saga in Nigeria and it is significant. This study therefore recommends that government should reduce the cost of governance and improve the living standard of workers by fixing a better wage. Finally, diversifying the Nigeria economy is necessary for states to enhance their internally generated revenue and step into creation of employment opportunities and better pay package.","PeriodicalId":375032,"journal":{"name":"Academic Journal of Applied Mathematical Sciences","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116487139","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}
Some methods used to analysis between government wage policy on minimum wage saga in Nigeria were considered. Descriptive Statistics, The Ordinary Least Square technique; Correlation Analysis tools were employed to ascertain the significant difference between government wage policy on minimum wage saga in Nigeria. Data were collected for period 1974 – 2000.Our results shows that year of review is negatively and significant on government wage policy on minimum wage saga in Nigeria. Consumer Price Index is negatively and significant on government wage policy on minimum wage saga in Nigeria. Also, there is a perfect negative association on year of review between real minimum wage on government wage policy on minimum wage saga in Nigeria and it is significant, with a perfect positive association year of review between consumer price index on government wage policy on minimum wage saga in Nigeria and it is significant and there is a negative moderate association on real minimum wage between consumer price index on government wage policy on minimum wage saga in Nigeria and it is significant. This study therefore recommends that government should reduce the cost of governance and improve the living standard of workers by fixing a better wage. Finally, diversifying the Nigeria economy is necessary for states to enhance their internally generated revenue and step into creation of employment opportunities and better pay package.
{"title":"Statisical Analysis Between Government Wage Policy on Minimum Wage Saga in Nigeria","authors":"C. Charles","doi":"10.32861/AJAMS.55.43.49","DOIUrl":"https://doi.org/10.32861/AJAMS.55.43.49","url":null,"abstract":"Some methods used to analysis between government wage policy on minimum wage saga in Nigeria were considered. Descriptive Statistics, The Ordinary Least Square technique; Correlation Analysis tools were employed to ascertain the significant difference between government wage policy on minimum wage saga in Nigeria. Data were collected for period 1974 – 2000.Our results shows that year of review is negatively and significant on government wage policy on minimum wage saga in Nigeria. Consumer Price Index is negatively and significant on government wage policy on minimum wage saga in Nigeria. Also, there is a perfect negative association on year of review between real minimum wage on government wage policy on minimum wage saga in Nigeria and it is significant, with a perfect positive association year of review between consumer price index on government wage policy on minimum wage saga in Nigeria and it is significant and there is a negative moderate association on real minimum wage between consumer price index on government wage policy on minimum wage saga in Nigeria and it is significant. This study therefore recommends that government should reduce the cost of governance and improve the living standard of workers by fixing a better wage. Finally, diversifying the Nigeria economy is necessary for states to enhance their internally generated revenue and step into creation of employment opportunities and better pay package.","PeriodicalId":375032,"journal":{"name":"Academic Journal of Applied Mathematical Sciences","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116532970","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 : 2019-04-15DOI: 10.32861/ajams.54.32.42.
Lilian O. Ngonadi, Francis C. Eze
Some variations of central composite designs (CCD) under complete and partial replications of cube, axial and center points are studied using A, D and G optimality criteria. The results obtained suggest that complete replication of the cube, axial and center points are better than the partial replication of cube, axial and center points under the A and D optimality criteria studied while it varies under G optimality criterion. The partial replication of the cube, axial and center point for all the CCDs studied, the partial replicated cube point is D optimal but varies under A and G optimality criteria.
{"title":"Some Optimality Variations of Central Composite Designs","authors":"Lilian O. Ngonadi, Francis C. Eze","doi":"10.32861/ajams.54.32.42.","DOIUrl":"https://doi.org/10.32861/ajams.54.32.42.","url":null,"abstract":"Some variations of central composite designs (CCD) under complete and partial replications of cube, axial and center points are studied using A, D and G optimality criteria. The results obtained suggest that complete replication of the cube, axial and center points are better than the partial replication of cube, axial and center points under the A and D optimality criteria studied while it varies under G optimality criterion. The partial replication of the cube, axial and center point for all the CCDs studied, the partial replicated cube point is D optimal but varies under A and G optimality criteria.","PeriodicalId":375032,"journal":{"name":"Academic Journal of Applied Mathematical Sciences","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128010583","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}
Some variations of central composite designs (CCD) under complete and partial replications of cube, axial and center points are studied using A, D and G optimality criteria. The results obtained suggest that complete replication of the cube, axial and center points are better than the partial replication of cube, axial and center points under the A and D optimality criteria studied while it varies under G optimality criterion. The partial replication of the cube, axial and center point for all the CCDs studied, the partial replicated cube point is D optimal but varies under A and G optimality criteria.
{"title":"Some Optimality Variations of Central Composite Designs","authors":"Lilian O. Ngonadi, F. Eze","doi":"10.32861/AJAMS.54.32.42","DOIUrl":"https://doi.org/10.32861/AJAMS.54.32.42","url":null,"abstract":"Some variations of central composite designs (CCD) under complete and partial replications of cube, axial and center points are studied using A, D and G optimality criteria. The results obtained suggest that complete replication of the cube, axial and center points are better than the partial replication of cube, axial and center points under the A and D optimality criteria studied while it varies under G optimality criterion. The partial replication of the cube, axial and center point for all the CCDs studied, the partial replicated cube point is D optimal but varies under A and G optimality criteria.","PeriodicalId":375032,"journal":{"name":"Academic Journal of Applied Mathematical Sciences","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129721253","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}
Soft set theory was originally proposed as a general mathematical tool for dealing with uncertainty. Soft multiset and fuzzy soft multiset are generalization concepts obtained from soft set theory. As a generlazation of fuzzy soft multiset we introduce the definition of intuitionistic fuzzy soft multiset and its operations and study some of their properties. Finally, we give an application in decision making problems.
{"title":"Intuitionistic Fuzzy Soft Multisets Theory","authors":"M. Bashir, A. R. Salleh","doi":"10.32861/AJAMS.53.14.31","DOIUrl":"https://doi.org/10.32861/AJAMS.53.14.31","url":null,"abstract":"Soft set theory was originally proposed as a general mathematical tool for dealing with uncertainty. Soft multiset and fuzzy soft multiset are generalization concepts obtained from soft set theory. As a generlazation of fuzzy soft multiset we introduce the definition of intuitionistic fuzzy soft multiset and its operations and study some of their properties. Finally, we give an application in decision making problems.","PeriodicalId":375032,"journal":{"name":"Academic Journal of Applied Mathematical Sciences","volume":"80 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125494516","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}
Yunhui Zeng, Yilin Chen, Hongfei Guo, Li Huang, Wenjuan Hu
This paper takes the dynamic scheduling of intelligent RGV as the research object and explores the problem of materiel machining of intelligent RGV for one and two procedures. In the process of establishing a materiel machining operation model for one procedure, firstly, the banker algorithm is used to provide a scheduling strategy for the RGV, dynamically predict the evolution process of the resource allocation process, and determine the order in which the CNC performs the task. Then, the non-preemptive least laxity first concept is introduced to improve the utilization rate of CNC and minimize the time for the computer machine tools CNC to wait for response. In order to simplify the calculation and improve the feasibility, based on the main idea of the banker algorithm, the evolution of the situation is only carried out in three levels, which makes the algorithm calculate moderately and has certain reference value for the prediction of the evolution process. Moreover, in the process of establishing a materiel machining operation model for two procedures, the bat algorithm is used to establish the model from the macroscopic perspective, and finally the dynamic scheduling strategy of RGV is obtained. In this paper, the dynamic scheduling strategy of intelligent RGV established for the materiel machining for one and two procedures provides a theoretical basis for the development of RGV dynamic scheduling strategy in the actual production process.
{"title":"Dynamic Scheduling Strategy of Intelligent RGV Based on Multi-layer Predictive Optimization","authors":"Yunhui Zeng, Yilin Chen, Hongfei Guo, Li Huang, Wenjuan Hu","doi":"10.32861/ajams.52.7.13","DOIUrl":"https://doi.org/10.32861/ajams.52.7.13","url":null,"abstract":"This paper takes the dynamic scheduling of intelligent RGV as the research object and explores the problem of materiel machining of intelligent RGV for one and two procedures. In the process of establishing a materiel machining operation model for one procedure, firstly, the banker algorithm is used to provide a scheduling strategy for the RGV, dynamically predict the evolution process of the resource allocation process, and determine the order in which the CNC performs the task. Then, the non-preemptive least laxity first concept is introduced to improve the utilization rate of CNC and minimize the time for the computer machine tools CNC to wait for response. In order to simplify the calculation and improve the feasibility, based on the main idea of the banker algorithm, the evolution of the situation is only carried out in three levels, which makes the algorithm calculate moderately and has certain reference value for the prediction of the evolution process. Moreover, in the process of establishing a materiel machining operation model for two procedures, the bat algorithm is used to establish the model from the macroscopic perspective, and finally the dynamic scheduling strategy of RGV is obtained. In this paper, the dynamic scheduling strategy of intelligent RGV established for the materiel machining for one and two procedures provides a theoretical basis for the development of RGV dynamic scheduling strategy in the actual production process.","PeriodicalId":375032,"journal":{"name":"Academic Journal of Applied Mathematical Sciences","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130494575","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}
Some methods of solving the biasedness in Chi–square Contingency table statistic were considered. Phi Coefficient, Contingency Coefficient and Cramer’s V tools were employed to solve the biasedness in the use of Chi–square test. Our results show that any of Phi coefficient, Contingency coefficient or Cramer’s V can be used to describe the association between two variables if the data matrix is 2 x 2. Contingency Coefficient was recommended as a good statistic when the matrix dimension is the same while the Cramer’s V is most adequate when the data matrix differs.
讨论了求解卡方列联表统计偏性的几种方法。在使用卡方检验时，采用Phi系数、权变系数和Cramer 's V工具解决偏倚问题。我们的结果表明，如果数据矩阵为2 x 2，则Phi系数、权变系数或克莱默V中的任何一个都可以用来描述两个变量之间的关联。当矩阵维数相同时，建议使用权变系数作为较好的统计量，而当数据矩阵不同时，Cramer 's V最合适。
{"title":"Alternative Methods of Solving Biasedness in Chi – Square Contingency Table","authors":"Okeke Charles C.","doi":"10.32861/AJAMS.51.1.6","DOIUrl":"https://doi.org/10.32861/AJAMS.51.1.6","url":null,"abstract":"Some methods of solving the biasedness in Chi–square Contingency table statistic were considered. Phi Coefficient, Contingency Coefficient and Cramer’s V tools were employed to solve the biasedness in the use of Chi–square test. Our results show that any of Phi coefficient, Contingency coefficient or Cramer’s V can be used to describe the association between two variables if the data matrix is 2 x 2. Contingency Coefficient was recommended as a good statistic when the matrix dimension is the same while the Cramer’s V is most adequate when the data matrix differs.","PeriodicalId":375032,"journal":{"name":"Academic Journal of Applied Mathematical Sciences","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122494268","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}
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