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MATH 8010: General Linear Hypothesis I
3.00 Credits
Clemson University
Topics include least-square estimates; Gauss-Markov theorem; confidence ellipsoids, and confidence intervals for estimable functions; tests of hypotheses; one-, two- and higher-way layouts; analysis of variance for other models. Offered fall semester only. Students are expected to have completed a course in linear algebra and a course in mathematical statistics before enrolling in this course.
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MATH 8010 - General Linear Hypothesis I
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MATH 8020: General Linear Hypothesis II
3.00 Credits
Clemson University
Continuation of MATH 8010. Offered spring semester only. Students are expected to have completed a graduate-level course in linear models before enrolling in this course.
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MATH 8020 - General Linear Hypothesis II
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MATH 8030: Stochastic Processes
3.00 Credits
Clemson University
Theory and analysis of time series, recurrent events, Markov chains, random walks, renewal theory, application to communication theory and operations research. Students are expected to have completed a course in multivariable calculus and a course in introductory probability theory before enrolling in this course.
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MATH 8030 - Stochastic Processes
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MATH 8040: Statistical Inference
3.00 Credits
Clemson University
Sampling distributions; maximum likelihood estimation and likelihood ratio tests; asymptotic confidence intervals for Binomial, Poisson and Exponential parameters; two-sample methods; nonparametric tests; ANOVA; regression; model building. Offered fall semester only. Students are expected to have completed a course in multivariable calculus and a course in introductory probability before enrolling in this course.
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MATH 8040 - Statistical Inference
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MATH 8050: Data Analysis
3.00 Credits
Clemson University
Methodology in analysis of statistical data emphasizing applications to real problems using computer-oriented techniques: computer plots, transformations, criteria for selecting variables, error analysis, multiple and stepwise regression, analysis of residuals, model building in time series and ANOVA problems, jackknife and random subsampling, multidimensional scaling, clustering. Students are expected to have completed a course in introductory statistics and a course in introductory probability before enrolling in this course.
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MATH 8050 - Data Analysis
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MATH 8060: Nonparametric Statistics
3.00 Credits
Clemson University
Order statistics; tolerance limits; rank-order statistics; Kolmogorov-Smirnov one-sample statistics; Chi-square goodness-of-fit test; two-sample problem; linear rank statistics; asymptotic relative efficiency. Offered spring semester only. Students are expected to have completed a course in statistical inference before enrolling in this course.
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MATH 8060 - Nonparametric Statistics
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MATH 8070: Applied Multivariate Analysis
3.00 Credits
Clemson University
Applied multivariate analysis: computer plots of multivariate observations; multidimensional scaling; multivariate tests of means, covariances and equality of distributions; univariate and multivariate regressions and their comparisons; MANOVA; principal components analysis; factor analysis; analytic rotations; canonical correlations. Offered fall semester only. Students are expected to have completed a course in linear algebra and a course in statistical inference before enrolling in this course.
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MATH 8070 - Applied Multivariate Analysis
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MATH 8080: Reliability and Life Testing
3.00 Credits
Clemson University
Probability models and statistical methods relevant to parametric and nonparametric analysis of reliability and life testing data. Offered spring semester only. Students are expected to have completed a course in statistical inference before enrolling in this course.
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MATH 8080 - Reliability and Life Testing
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MATH 8090: Time Series Analysis
3.00 Credits
Clemson University
Modeling and forecasting random processes; autocorrelation functions and spectral densities; model identification, estimation and diagnostic checking; transfer function models; feedforward and feedback control schemes. Offered spring semester only. Students are expected to have completed a course in multivariable calculus and a course in introductory probability before enrolling in this course.
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MATH 8090 - Time Series Analysis
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MATH 8100: Mathematical Programming
3.00 Credits
Clemson University
Formulation and solution of linear programming models; mathematical development of the simplex method; revised simplex method; duality; sensitivity analysis; parametric programming, implementation and software packages. Students are expected to have completed a course in linear algebra before enrolling in this course.
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MATH 8100 - Mathematical Programming
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