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Full-Text Articles in Physical Sciences and Mathematics
Data Analysis Using Experimental Design Model Factorial Analysis Of Variance/Covariance (Dmaovc.Bas), Wesley E. Newton
Data Analysis Using Experimental Design Model Factorial Analysis Of Variance/Covariance (Dmaovc.Bas), Wesley E. Newton
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
DMAOVC.BAS is a computer program written in the compiler version of microsoft basic which performs factorial analysis of variance/covariance with expected mean squares. The program accommodates factorial and other hierarchical experimental designs with balanced sets of data. The program is writ ten for use on most modest sized microprocessors, in which the compiler is available. The program is parameter file driven where the parameter file consists of the response variable structure, the experimental design model expressed in a similar structure as seen in most textbooks, information concerning the factors (i.e. fixed or random, and the number of levels), and necessary …
Unbalanced Analysis Of Variance Comparing Standard And Proposed Approximation Techniques For Estimating The Variance Components, James P. Pugsley
Unbalanced Analysis Of Variance Comparing Standard And Proposed Approximation Techniques For Estimating The Variance Components, James P. Pugsley
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
This paper considers the estimation of the components of variation for a two-factor unbalanced nested design and compares standard techniques with proposed approximation procedures. Current procedures are complicated and assume the unbalanced sample size to be fixed. This paper tests some simpler techniques, assuming sample sizes are random variables. Monte Carlo techniques were used to generate data for testing of these new procedures.
The Use Of Contingency Table Analysis As A Robust Technique For Analysis Of Variance, Mei-Eing Chiu
The Use Of Contingency Table Analysis As A Robust Technique For Analysis Of Variance, Mei-Eing Chiu
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
The purpose of this paper is to compare Analysis of Variance with Contingency Table Analysis when the data being analyzed do not satisfy Analysis of Variance assumptions. The criteria for comparison are the powers of the Standard variance-ratio and the Chi-square test.
The test statistic and powers were obtained by Monte Carlo.
1. Calculate test statistic for each of 100 trials, this process was repeated 12 times. Each time different combination of means and variances were used.
2. Powers were obtained for each of 12 combinations of means and variances.
Whether Analysis of Variance or Contingency Table Analysis is a …
Exact Analysis Of Variance With Unequal Variances, Noriaki Yanagi
Exact Analysis Of Variance With Unequal Variances, Noriaki Yanagi
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
The purpose of this paper was to present the exact analysis of variance with unequal variances. Bishop presented the new procedure for the r-way layout ANOVA. In this paper, one and two way layout ANOVA were explained and Bishop's method and Standard method were compared by using a Monte Carlo method.
Factorial Analysis Of Variance And Covariance On A Minicomputer, Ladonna Black Kemmerle
Factorial Analysis Of Variance And Covariance On A Minicomputer, Ladonna Black Kemmerle
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
Statistical analysis of large data sets is commonly performed on computers using one of the many available programs. Most of these programs have been written for computers with internal storage large enough to handle nearly any data set. Recently, however, there has been a trend to computers with more limited storage capabilities. New programs must be written or old programs adapted so that large data sets may also be analyzed on these smaller machines.
This report describes a program to analyze data from a balanced experiment of crossed and/or nested design. It was written for the Data General Nova minicomputer …
Estimation Of Μy Using The General Regression Model (In Sampling), Michael R. Manieri
Estimation Of Μy Using The General Regression Model (In Sampling), Michael R. Manieri
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
The methods of ratio and regression estimators discussed by Cochran(l977) are given as background materials and extended to the estimation of µy, the population mean of the Y's, using a general regression model.
The propagation of error technique given by Deming(l948) is used as an approximation to find the variance of the estimator µy.
Examples are given for each of the various models. Variances of μy are calculated and compared
Linear Comparisons In Multivariate Analysis Of Variance, Hsin-Ming Tzeng
Linear Comparisons In Multivariate Analysis Of Variance, Hsin-Ming Tzeng
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
The analysis of variance was created by Ronald Fisher in 1923. It is most widely used and basically useful approach to study differences among treatment averages.
Multivariate Analysis Of Variance For Simple Designs, Yin-Yin Chen
Multivariate Analysis Of Variance For Simple Designs, Yin-Yin Chen
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
The analysis of variance is a well known tool for testing how treatments change the average response of experimental units. The essence of the procedure is to compare the variation among means of groups of units subjected to the same treatment with the within treatment variation. If the variation among means is large with respect to the within group variation we are likely to conclude that the treatments caused the variation and hence we say the treatments cause some change in the group means.
The usual analysis of variance checks how far apart the group means are in a single …