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Introduction and Review of Basic Statistics | |
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An Introduction to Forecasting | |
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Forecasting and Data | |
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Forecasting Methods | |
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Errors in Forecasting | |
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Choosing a Forescasting Technique | |
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An Overview of Quantitative Forecasting Techniques | |
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Basic Statistical Concepts | |
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Populations | |
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Probability | |
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Random Samples and Sample Statistics | |
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Continuous Probability Distributions | |
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The Normal Probability Distribution | |
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The t-Distribution, the F-Distribution, the Chi-Square Distribution | |
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Confidence Intervals for a Population Mean | |
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Hypothesis Testing for a Population Mean | |
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Exercises | |
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Regression Analysis | |
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Simple Linear Regression | |
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The Simple Linear Regression Model | |
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The Least Squares Point Estimates | |
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Point Estimates and Point Predictions | |
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Model Assumptions and the Standard Error | |
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Testing the Significance of the Slope and y Intercept | |
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Confidence and Prediction Intervals | |
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Simple Coefficients of Determination and Correlation | |
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An F Test for the Model | |
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Exercises | |
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Multiple Linear Regression | |
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The Linear Regression Model | |
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The Least Squares Estimates, and Point Estimation and Prediction | |
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The Mean Square Error and the Standard Error | |
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Model Utility: R2, Adjusted R2, and the Overall F Test | |
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Testing the Significance of an Independent Variable | |
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Confidence and Prediction Intervals | |
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The Quadratic Regression Model | |
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Interaction | |
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Using Dummy Variables to Model Qualitative Independent Variables | |
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The Partial F Test: Testing the Significance of a Portion of a Regression Model | |
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Exercises | |
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Model Building and Residual Analysis | |
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Model Building and the Effects of Multicollinearity | |
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Residual Analysis in Simple Regression | |
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Residual Analysis in Multiple Regression | |
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Diagnostics for Detecting Outlying and Influential Observations | |
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Exercises | |
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Time Series Regression, Decomposition Methods, and Exponential Smoothing | |
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Time Series Regression | |
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Modeling Trend by Using Polynomial Functions | |
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Detecting Autocorrelation | |
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Types of Seasonal Variation | |
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Modeling Seasonal Variation by Using Dummy Variables and Trigonometric Functions | |
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Growth Curves | |
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Handling First-Order Autocorrelation | |
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Exercises | |
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Decomposition Methods | |
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Multiplicative Decomposition | |
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Additive Decomposition | |
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The X-12-ARIMA Seasonal Adjustment Method | |
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Exercises | |
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Exponential Smoothing | |
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Simple Exponential Smoothing | |
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Tracking Signals | |
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Holts Trend Corrected Exponential Smoothing | |
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Holt-Winters Methods | |
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Damped Trends and Other Exponential Smoothing Methods | |
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Models for Exponential Smoothing and Prediction Intervals | |
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Exercises | |
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The Box-Jenkins Methodology | |
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Nonseasonal Box-Jenkins Modeling and Their Tentative Identification | |
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Stationary and Nonstationary Time Series | |
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The Sample Autocorrelation and Partial Autocorrelation Functions: The SAC and SPAC | |
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An Introduction to Nonseasonal Modeling and Forecasting | |
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Tentative Identification of Nonseasonal Box-Jenkins Models | |
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Exercises | |
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Estimation, Diagnostic Checking, and Forecasting for Nonseasonal Box-Jenkins Models | |
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Estimation | |
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Diagnostic Checking | |
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Forecasting | |
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A Case Study | |
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Box-Jenkins Implementation of Exponential Smoothing | |
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Exercises | |
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Box-Jenkins Seasonal Modeling | |
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Transforming a Seasonal Time Series into a Stationary Time Series | |
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Three Examples of Seasonal Modeling and Forecasting | |
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Box-Jenkins Error Term Models in Time Series Regression | |
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Exercises | |
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Advanced Box-Jenkins Modeling | |
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The General Seasonal Model and Guidelines for Tentative Identificatino | |
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Intervention Models | |
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A Procedure for Building a Transfer Function Model | |
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Exercises | |
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Statistical Tables | |
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Matrix Algebra for Regression Calculations | |
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Matrices and Vectors | |
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The Transpose of a Matrix | |
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Sums and Differences of Matrices | |
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Matrix Multiplication | |
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The Identity Matrix | |
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Linear Dependence and Linear Independence | |
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The Inverse of a Matrix | |
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The Least Squares Point Esimates | |
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The Unexplained Variation and Explained Variation | |
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The Standard Error of the Estimate b | |
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The Distance Value | |
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Using Squared Terms | |
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Using Interaction Terms | |
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Using Dummy Variable | |
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The Standard Error of the Estimate of a Linear Combination of Regression Parameters | |
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Exercises | |
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References. | |